Emily is setting up a "Bob for Apples" tent at a fair. She bought 13 bags of apples and put them all in a huge tub. If there are a total of 78 apples in the tub, how many apples were in each bag?

Answers

Answer 1

If 78 apples are in the tub, there are 6 apples in each bag

What is division?

A division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 40 members into 4 groups of 10 members each or 10 groups of 4 members each, Or creating 2 groups of 20 members or 20 groups of 2 members.

This means that when dividing 40 by 10 we get 4 and when dividing 40 by 4 we get 10.

Emily sets up a tub by buying 13 bags of apple. The total apple in the tub when the 13 bags were poured are 78 apples.

Therefore to find the number of apple in each bad, we divide the total number of apple in the tub by the number of bags.

= 78/13 = 6 apples per bag

Therefore the number of apple in each bag is 6.

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Related Questions

A construction crew was made up of 12 men and the rest women. If 40% of the crew were men, how many women were in the crew

Answers

Answer:

Step-by-step explanation:

12 is 40% of what number?

30.

what is 60% of 30?

18

boom

Find the slope of a line perpendicular to the line whose equation is x - 6y =24. fully simplfy your answer

Answers

Answer:

Step-by-step explanation:

The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. To find the slope of the line x - 6y = 24, we can rearrange the equation to the form y = (1/6)x + 4. So the slope of the line is 1/6.

The slope of a line perpendicular to this line would be the negative reciprocal of 1/6 which is -6

(−∞,5]ก(−3, ∞)
simplify the following compound intervals

Answers

The solution of the interval will be;

⇒ (- 3, 5]

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The interval is,

⇒ (- ∞, 5] ∩ (- 3, ∞)

Now,

Since, The interval is,

⇒ (- ∞, 5] ∩ (- 3, ∞)

Hence, The solution of the interval is,

⇒ x ∈ (- ∞, 5] and x ∈ (- 3, ∞)

⇒ x ∈ (- 3, 5]

Thus, The solution of the interval = (- 3, 5]

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Geometry find length of third side

Answers

Answer:

[tex]\sqrt{34}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem, the length of the third side is [tex]\sqrt{5^2+3^2}=\sqrt{34}[/tex].

Answer:

[tex]\sqrt{34} = c[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem

[tex]a^{2} + b^{2} = c^{2} \\3^{2} + 5^{2} = c^{2} \\34 = c^{2} \\\sqrt{34} = c[/tex]

Hence , the length of the third side is [tex]\sqrt{34}[/tex]

determine the average rate of change in concentration of b from t=0 s to t=282 s.

Answers

The average rate of change in concentration of B from t=0 s to t=282 s is equals to the 0.00440 M/s.

Average rate of change in concentration is defined as the change in concentration divided by change in time , i.e , ∆c/∆t. Since we have provide the concentrations of reactant (A), we can determine the average change in A first. In first observation, Change in [A] = 0.410 - 0.720 M = - 0.310 M

Change in time = 141 s - 0 s = 141 s

rate of Change in concentration

= -0.310/141 = - 0.00220 M/s

In second observation, rate of change in concentration A =(0.100 - 0.410)/(282 - 141)

= - 0.310/141 = - 0.00220 M/s

Average Rate = - 0.310 M / 141s

= - 0.00220 M/s

here, negative sign indicating the [A] is decreasing over time.

To determine the average rate of change of B, we use the stoichiometry of the equation, A⟶2B

For every A that is used, 2 B's are produced (product). So, average rate of change of B = 2 x 0.00220

= +0.00440 M/s

(positive sign means B is being formed).

So, required average rate of change is 0.00440 M/s.

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Complete question:

determine the average rate of change in concentration of b from t=0 s to t=282 s. A⟶2B

Time (s). Concentration of A (M)

0. 0.720

141. 0.410

282. 0.100

A number is increased by 2/5 to 49. What was the number?

Answers

Answer: 35

Step-by-step explanation:

35*140%=49

Does the graph represent a non-proportional function? How do you know?

Answers

The graph attached represents a non proportional function

When does linear graphs give a proportional relationship?

Like the name goes, a Linear graph is a straight line graph that represents a linear relationship with the equation of the form

y = mx + c

A relationship is proportionate if its graph is a line or ray that passes through the origin. in this case c = 0

It is not proportional if the line or graph does not go through the origin.

Additionally, if anything is not linear, it is not proportional.

The attached graph passed through point (0, 1) which is not the origin (0, 0) hence the graph is not a proportional relationship

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Mrs. Malatlian selects a simple random sample of 28 seniors from the 300 seniors at her school and finds that 20 of
them are planning to participate in the school's annual capture the flag game. She wants to construct a confidence
interval for p= the proportion of all seniors who plan to participate in the game. Which condition has she failed to meet,
if any?
a) The sample was selected at random.
b) np ≥ 10
c) n(1-p) ≥ 10
d) The sample size is less than 10% of the population size.
e) All conditions are met.

Answers

Mrs. Malatlian has failed to meet the condition that np ≥ 10.

What is meet?

Meet is an event or gathering of people who have come together for a common purpose or to discuss specific topics. It typically involves a group of people who come together in person or virtually to exchange ideas and information. Meetings are often used as a platform for brainstorming, collaboration, problem solving, decision-making, and/or making plans. They can also serve as a platform for networking, team building, and connecting with others. Meetings can also be used to disseminate information or provide updates to a group.

Specifically, the sample size (n) is 28 and the proportion of those who plan to participate in the game (p) is 20/28 = 0.71.
Thus, np = 28(0.71) = 19.88 which is less than 10.

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Lily has 15% more books than Jessica. If Lily has 150 more books than Jessica, how many books do they have together?


(pls help quickly....also pls include the steps cuz I have no idea how this works...)

Answers

Answer: 2150 books

Step-by-step explanation: Let the number of books Jessica has be the variable x. Percentage works the same way as multiplying fractions, for example 19% of "something" is 19/100 times that "something". If Jessica has x books, and Lily has 15% more books (that is, 115% Jessica's books), at the same time Lily has 150 more books, it's safe to assume that 15% of x is 150, and so, 15x/100 = 150, if so, 15x = 15000, and x = 1000. Now that Jessica has 1000 books, and Lily has Jessica's books and 150 more (or 1000 + 150), the problem sums up to (1000 + 150 + 1000) = 2150.

Two certificates of deposit pay interest rates that differ by 3%. For the first CD, the money is invested for a year and earns $50C interest. For the second CD the same amount of money invested earns $655 in a year. What is the interest rate of the first CD account (rounded to the nearest tenth)?

Answers

The rate interest of the first CD account is 5%.

What is the rate of interest?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Given that, two certificates of deposit pay interest rates that differ by 3%.

Let 1000 be the amount of principal invested. Let n/100 be the rate of interest on the first CD and n+3/100 be the amount paid on the second CD.

1000(n/100)=50

1000(n+3/100)=655

10n=50

n=5%

So, n+3= 8%

Therefore, the rate interest of the first CD account is 5%.

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A local charity is selling seats to a baseball game. Seats cost $32 each, and snacks cost an additional $8
each. The charity needs to raise $640 to consider this event a success.
Use the graph to approximate how many snacks the charity must sell if 10 seats are sold.
32 s +8y=640

Answers

By using the graph, the amount of snacks that the charity must sell if 10 seats are sold is equal to 40 snacks.

How to write and solve the equation graphically?

In order to graphically solve the equation, we would write an equation that models the situation by assigning variables to the cost of seats and cost of snacks, and then translate the word problem into algebraic equation as follows:

Let the variable s represent the cost of seats.Let the variable y represent the cost of snacks.

Since the seats cost $32 each and snacks cost an additional $8 each while the charity needs to raise $640, an equation that models the situation is given by;

32s + 8y = 640

By critically observing the graph, the charity must sell 40 snacks if 10 seats are sold.

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if f and g are differentiable and f(x) ≥ g(x) for a < x < b, then f '(x) ≥ g'(x) for a < x < b.

Answers

This statement is not always true. It's only true if f(x) and g(x) are both non-decreasing functions.

If f(x) and g(x) are non-decreasing functions, the inequality f(x) ≥ g(x) for a < x < b holds, meaning that the values of f(x) are always greater than or equal to the values of g(x) for x within the interval [a,b]. Since the derivative of a non-decreasing function is non-negative, it follows that f'(x) ≥ 0 and g'(x) ≥ 0 for all x in the interval [a,b], which implies f '(x) ≥ g'(x) for a < x < b.

However, if f(x) and g(x) are not non-decreasing functions, this statement is not true. The inequality f(x) ≥ g(x) for a < x < b does not necessarily imply that the derivatives f '(x) and g'(x) will also be greater than or equal for all x in the interval [a,b].

Therefore, This statement is not always true. It's only true if f(x) and g(x) are both non-decreasing functions.

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24.
Select all polynomials that have a zero located at
(4, 0).
A. fa
B. f(x) = (2x - 8) (x + 5)
C. f(x) = 4x(x - 3)(x - 1)
D. f(x) = (x − 4)(x − 3)(x + 1)
E. f(x) = 2x(4- x)(x + 5)(3x - 4)

Answers

Answer:

B

D

E

The first choice A appears to be a typo, so I can't comment on that

Step-by-step explanation:

Substitute x = 4 in each of the polynomials and see which ones end up with a value of 0. Since each of the polynomials is a multiplicative of expressions if any one of the individual expressions is 0 then the whole expression becomes 0

A. Unknown

B. 2x - 8 = 2 · 4 - 8 = 8 - 8 = 0. So this has a zero at (4,0)

C None of the individual expressions will result in  0. So not a correct choice

D x - 4 = 4 - 4 = 0 So this is a correct choice

E. In this case we have a 4-x term which is 4- 4 = 0; so correct choice

A recipe calls for 4 boxes of rice to serve 13 people. If you want to serve 39 people, what should you do?.

Answers

A recipe calls for 4 boxes of rice to serve 13 people. If you want to serve 39 people, you need to call 12 boxes of rice.

As A recipe calls for 4 boxes of rice to serve 13 people.

It means that 4 boxes are sufficient to serve 13 people.

So, from above,

We can conclude that,

In 2 boxes, we can serve 6(1/2) people,

When we double the number of boxes we can serve the double person.

So, we can come to the conclusion,

In 8 boxes we can serve (13*2 = 26) people.

As we need to serve 39 people,

So, we order 8 + 4 = 12 boxes.

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You should use 12 number of boxes of rice to serve 39 people.

1. The recipe calls for 4 boxes of rice to serve 13 people

2. To serve 39 people, you need to multiply the amount of boxes of rice by 3

3. 4 boxes of rice * 3 = 12 boxes of rice

4. Therefore, you should use 12 boxes of rice to serve 39 people.

A recipe calls for 4 boxes of rice to serve 13 people, but if you want to serve 39 people, you need to multiply the amount of boxes of rice by 3. This means that 4 boxes of rice * 3 = 12 boxes of rice. Therefore, you should use 12 boxes of rice to serve 39 people, which is three times the amount that the recipe calls for. To serve even more people, you can simply keep multiplying the amount of boxes of rice by the number of people you want to serve. For example, to serve 100 people, you would need to use 40 number of boxes of rice (4 boxes of rice * 10 = 40 boxes of rice). Knowing this, you can easily adjust the amount of boxes of rice needed to serve any number of people.

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standard form (-7,3) and (1,2)

Answers

Answer:

(-14/6) and (2/4) are standard form

Explain the error in the work and how you might prevent it.

Answers

The error is [tex]12x^2 - 14x = - 26x^2[/tex] because 12x² and 14x are unlike terms, so we can not add them

To prevent it the dividend must be written as [tex]6x^3 + 0x^2 - 14x + 1[/tex]

Now, According to the question:

In the division, you must arrange the dividend according to the greatest power of the variable, and put 0 as a coefficient of the missing term to avoid adding, unlike terms.

Example:

If the dividend is [tex]3x^3 - 2x + 5[/tex], then you must write it as [tex]3x^3 + 0x^2 - 2x + 5[/tex]

Let us solve our question

∵ The dividend is [tex]6x^3[/tex] + 1 - 14x

→ You must arrange it from the greatest power of x

∴ The dividend is [tex]6x^3[/tex] - 14x + 1

∵ The term of x² is missing

→ Write it in the dividend with a coefficient of 0

∴ The dividend is  [tex]6x^3 + 0x^2 - 14x + 1[/tex]

The error is the adding of unlike terms

∵  [tex]6x^3[/tex]- 14x + 1 ÷ 3x + 6 = 2x² and [ [tex]6x^3[/tex] - 14x + 1 - [tex]6x^3[/tex] - ( [tex]6x^3[/tex] + [tex]12x^2[/tex])]

∵[tex][6x^3 - 14x + 1 - 6x^3 - (6x^3 + 12x^2)] = 6x^3 - 14x + 1 - 6x^3 - 12x^2[/tex]

∵ [tex]6x^3 - 14x + 1 - 6x^3 - 12x^2 = 0 - 12x^2 - 14x + 1[/tex]

∵[tex]0 - 12x^2 - 14x + 1 = -26x^2 + 1[/tex] ⇒ error

∴ The error is  -12x² - 14x = - 26x² because 12x² and 14x are unlike terms,

  so we can not add them

→ To prevent it, write 0 as a coefficient of the missing term

∵ The missing term is the term of x²

∴ Add to the dividend the term 0x²

∴ The dividend must be written as [tex]6x^3 + 0x^2 - 14x + 1[/tex]

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A shopkeeper bought rice at 42₹ and sold them at ₹ 45 . If he sold 15 kg of rice . Find his profit

Answers

The profit is 45 ₹ if he sold 15 kg of rice.

Cost of rice for the shopkeeper, c = 42 ₹

Price of the rice sold, p = 45₹

hence, the profit per kg of rice, P = p - c = 45 - 42

P = 3₹ per kg of rice

therefore, the profit of 15kg

= 15 × 3 ₹

Total profit = 45 ₹

Therefore, the profit is 45 ₹ if he sold 15 kg of rice.

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The function, "f" is defined by the following rule. f(x)=3x-1

Answers

Answer:

i don't know

Step-by-step explanation:

Please help I can't figure it out

Answers

Answer:

quadrilateral, rhombus i think

Step-by-step explanation:

19. MP Identify Structure Write a fraction that is equivalent to a
terminating decimal between 0.5 and 0.75.
D. MP Persevere with Problems Fractions in simplest form that have
denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions
with denominators of 6, 12, 18, and 24 produce repeating decimals. What
causes the difference? Explain.

Answers

0.625 is the terminating decimal between 0.5 and 0.75.

What is Fraction?

A fraction represents a part of a whole.

Terminating decimal between 0.5 and 0.75

we can find the mean of these two numbers and if the mean is terminating decimal then this will be the required answer.

0.5+0.75/2=0.625

Fractions having a denominator which can be factored in terms of 2 or 5 (or both) will terminate completely or will have terminating decimals.  

But the fractions whose denominator can not be factored only in terms of 2, 5 or both, will repeat or will have repeating decimals..

As 2=2¹  , 4= 2², 8=2³ , 16=2⁴

Here, 2,4,8,16, and 32 are all powers of 2 and fractions with these denominators will have terminating decimal expansion.  

As, 6=2×3, 12=3×4, 18=6×3, 24=6×4

But 6,12, 18, and 24 can'not be factored only in terms of 2 or 5 or both. Therefore, fractions with these denominators will have repeating decimals.

Hence, Fractions in simplest form that have denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions with denominators of 6, 12, 18, and 24 produce repeating decimals

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The amount of time it takes a student from school A to do a math activity follows the Normal distribution with a mean of 25 minutes and a standard deviation of 5 minutes. Students at school B complete a math activity with a mean time of 20 minutes and have a standard deviation of 8 minutes.

a.) If we take a random student from School A and a random student from School B. What is the expected difference in their minutes?

b.) What is the standard deviation of the difference of their minutes?

Answers

a.) The expected difference in their minutes is 25 - 20 = 5 minutes.

b.) To find the standard deviation of the difference, we can use the formula for the standard deviation of the difference between two normally distributed random variables:

sqrt(sd_1^2 + sd_2^2) = sqrt(5^2 + 8^2) = sqrt(25 + 64) = sqrt(89) = 9.43 minutes.

The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a fraction in simplest form.

Answers

A scaled-down version of the right triangle on the left, where the fraction is 54, is shown on the right.

What is fraction in simplest form ?

A scaled-down version of the right triangle on the left can be seen in the right triangle on the right. The scaling factor should be recognised as a whole integer or simplest possible fraction. In order to relate these two sides, we will choose the number 15 since it is a finer number than 254 and is therefore the longer of the two sides that correlate to the number 12.

And since we're moving in this direction and getting bigger, the scale factor needs to be greater than 1 . Consider the difference between the original corresponding length of 12 and the new length of 15, which is 15. Because 15 is three times the original length of 12, the difference between 15 and 12 may be simplified. Though your response is 54.

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Here scale factor is 33/25

33/25  =  1.32

How do you calculate scale factor?The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Here larger triangle side is 33 smaller triangle side is 25Then scale factor =  larger triangle measurement / smaller triangle measurementThen answer is 33/25The fractional value of 33/25 = 1.32

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Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. 1. 5x – 7 = 4x + 3
2. 6 + 2x = 7x – 9
3. 8x + 1 = -8 – x
4. -5 + 12x = 18x + 7
5. -4x + 3 = 5x – 13 - x

Answers

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:

5x - 7 + 7 = 4x + 3 + 7

5x = 4x + 10

x = 10

2.  6 + 2x = 7x - 9

To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:

6 + 2x + 9 = 7x - 9 + 9

2x = -3

x = -3/2

3. 8x + 1 = -8 - x

To solve for x, we can add x to both sides of the equation and add 8 to both sides:

8x + 1 + x = -8 - x + x + 8

9x + 1 = 0

x = -1/9

4. -5 + 12x = 18x + 7

To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:

-5 + 12x - 12x = 18x + 7 - 12x

-5 = 6x + 7

x = -6

5.  -4x + 3 = 5x - 13 - x

To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:

-4x + 3 + x = 5x - 13 - x + x + 3

-3x = -10

x = 10/3

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3

That gives you the letters "joke"

Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

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if xy + 9ey = 9e, find the value of y'' at the point where x = 0.

Answers

The value of y'' at the point where x=0 is[tex]9 e y^{\prime \prime}=\frac{1}{9 e}$[/tex] ([tex]e^{2}[/tex])

Differentiation is one of the two important concepts apart from integration. Differentiation is a method of finding the derivative of a function. Differentiation is a process, in maths, where we find the instantaneous rate of change in function based on one of its variables. The most common example is the rate change of displacement with respect to time, called velocity. The opposite of finding a derivative is anti-differentiation.

If x is a variable and y is another variable, then the rate of change of x with respect to y is given by dy/dx. This is the general expression of derivative of a function and is represented as f'(x) = dy/dx, where y = f(x) is any function.

[tex]$x y+9 e^y=9 e$[/tex]

at [tex]x =0[/tex]

[tex]$9 e^y=9 e$[/tex]

[tex]$y=1$[/tex]

[tex]$w \cdot r . t x$[/tex]

[tex]$\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0[/tex]

at [tex]x=0[/tex]

[tex]$1+9 e y^{\prime}=0$[/tex]

[tex]$y^{\prime}=-\frac{1}{9 e}$[/tex]

[tex]$--------$[/tex]

[tex]$\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0$[/tex]

[tex]y^{\prime}+x y^{\prime \prime}+y^{\prime}+9 e^y y^{\prime \prime}+9 e^y\left(y^{\prime}\right)^2=0[/tex]

at [tex]x=0[/tex]

[tex]2\left(-\frac{1}{9 e}\right)+9 e y^{\prime \prime}+9 e\left(-\frac{1}{9 e}\right)^2=0[/tex]

[tex]-\frac{2}{9 e}+9 e y^{\prime \prime}+\frac{1}{9 e}=0[/tex]

[tex]9 e y^{\prime \prime}=\frac{1}{9 e}$[/tex][tex]\left(e^2)\right[/tex]

Therefore, the value of y'' at point where x=0 is [tex]9 e y^{\prime \prime}=\frac{1}{9 e}$[/tex]  ([tex]e^{2}[/tex])

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x/6 = 11/12 need to solve the equation for x helppppp

Answers

Answer: x= [tex]5\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} = \frac{11}{12} \\x(12)=11(6)\\12x=66\\\frac{12x}{12} =\frac{66}{12} \\x=\frac{11}{2} \\x=5\frac{1}{2}[/tex]

(you should cross-multiply the numbers)

(if the numerator is greater than the denominator then you  

                      should leave the answer as a mixed fraction)

Answer:

x= 11/2 or 5.5

Step-by-step explanation:

x/6 = 11/12

LCM = 12

=12 × x/6 = 12 × 11/12

=2(x) = 11 Note. 6 goes into 12 "2" and 12 goes into 12 "1"

=2x = 11

=2x/2 11/2

x = 11/2 or 5.5.

A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.

Part A

Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.

y=____x
$__

Write an equation in the form of y=kx to represent the tax. Then use the equation to calculate the amount of tax.
Part B

y=k___x
$___

Part C
What is the total cost that the family paid?
$___

Answers

Part A (decorator’s fee)

y = 0.12 x 1580

$189.6

Part B(tax)

y = 0.045 x 1580

$71.1

Part C(Total amount spent)

$1,580 + $189.6 + $71.1

$1840.7

What is a Linear Equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Part A (the decorator’s fee)

12% of purchases = 0.12

y = 0.12 x 1580

Decorator's fee = $189.6

Part B (the tax)

4.5% Tax = 0.045

y = 0.045 x 1580

Tax = $71.1

Part C (Total amount spent)

Purchasing fee + Decorators fee + Tax

= $1,580 + $189.6 + $71.1

$1840.7

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Help pleaseeee thanks

Answers

Answer:

I'd say A, Adjacent

Step-by-step explanation:

I think its A because adjacent means together/along with, and these angles are next to each other.

Amy is having her birthday party at a roller skating rink. The rink charges a fee of $100 plus $16 per person. A birthday person is not charged. If Amy wants to spend at most $350 for the party, how many people can she invite to her party

Answers

Amy can invite 15 people to her party since $100 is the fee plus $16 per person, meaning $340 would be spent on the guests and the total cost would be $340.

To calculate the number of people that can be invited, we need to set up an equation. Let x represent the number of people attending the party. We know that the cost is $100 plus $16 per person, so we can set up the equation: (100 + 16x) ≤ 350.

We then subtract 100 from both sides to get 16x = 250. Finally, we divide both sides by 16 to get x = 15.5. Since we can't have a fraction of a person, we round down to 16, and then add the birthday person, giving us a total of 16 people.

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Bright Blocks toy company sells sets of building blocks. The Beginner Builder set has 40 large blocks and 25 small blocks. The Mega Maker set has the same ratio of large blocks to small blocks, but it comes with 100 small blocks.
How many large blocks are in the Mega Maker set?

Answers

There are approximately 63 large blocks in the Mega Maker set.

What is a Ratio?

Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. In ratios the dividend is called the 'antecedent' and the divisor is called the 'consequent'.

The ratio of large to small is 40 to 25

To find the ratio of the big block for the the mega maker will be;

40 : 25 in its simplest form 8 : 5

100 : X

X = (5 x 100) / 8

X = 500 / 8

X = 62.5

62.5 is not a whole number so it can be approximated to the nearest whole number which is 63.

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Answer: 160

Step-by-step explanation:

Order the set of numbers (2.2, 2, 1/5, 2.25, v5) from greatest to least.

Answers

Answer:

2.25, v5, 2.2, 2 1/5, 2

Step-by-step explanation:

v5 = 2.24

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