The children's section at a public
7
way has picture books and chapter books.
ratio of 2:3. If there are a total of 500
withal
bus in the children's section, then how many
chapter books are there?

Answer:

X=22

Step-by-step explanation:

Cross multiply the two sides.

Group the like terms.

Solve the equation.

Answer:

Step-by-step explanation:

The correct statement is "The ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela".

The correct answer option is option A

Mangos Used Smoothie Size

Angela 1 9 oz

Kim 3 27 oz

Bri 4 36 oz

Check the given options to determine which statement is correct;

The ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela.

Kim = 27 : 3 = 9 : 1

Angela = 9 : 1

True

The ratio of smoothie size to mangos used for Kim is 1:9, and the ratio of smoothie size to mangos used for Bri is 4:27.

Kim = 27 : 3 = 9 : 1

Bri = 36 : 4 = 9 : 1

False

The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.

Angela = 9 : 1

Kim = 27 : 3 = 9 : 1

False

The ratio of smoothie size to mangos used for Bri is 9:1, and the ratio of smoothie size to mangos used for Angela is 4:36.

Bri = 36 : 4 = 9 : 1

Angela = 9 : 1

False

Therefore, Kim and Angela has equal ratio of smoothie size to mangoes used.

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Answer:b

Step-by-step explanation:

i got it correct

Recursive functions create a sequence of phrases by repeating or using their own prior terms as inputs.

Recursive functions create a sequence of terms by iterating over or using their own prior terms to calculate new terms. Typically, we study this function using the arithmetic-geometric sequence, which has terms with a shared difference.

The factorial, which multiplies an integer by itself while decrementing it incrementally, is an example of a recursive function. Recursive functions include a wide variety of self-referential functions used in loops.

Any term of a sequence defined by a recursive formula is defined in terms of the term before it (s). Examples include Arithmetic sequences can be recursively written as a = an-1 + d. For a geometric series, a = an-1r is the recursive formula.

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The sequence of rigid motion followed by a dilation with center (0, 0), that maps RSTU to VXYZ is described using option C as follows;

C. Reflection across the x-axis, translation 2 unit(s) left and 1 unit down, dilation with center (0, 0) and scale factor 0.5

A rigid transformation is one in which the distance between corresponding pairs of points in the pre-image is preserved in the image

The coordinates of a pair of points in RSTU are; R(6, 0), S(8, 4), and T(6, 8)

The coordinates of similar points in VXYZ are; V(1, -1), X(2, -3), and Y(1, -5)

Length of RS = √((8 - 6)² + (4 - 0)²) = 2·√5

Length of ST = √((8 - 6)² + (4 - 8)²) = 2·√5

Length of VX = √((2 - 1)² + (-3 - (-1))²) = √5

Length of XY = √((2 - 1)² + (-3 - (-5))²) = √5

Applying a reflection across the x-axis on the RSTU, we get;

R(6, 0) → R'(6, 0)

S(8, 4) → S'(8, -4)

T(6, 8) → T'(6, -8)

Applying a dilation of a scale factor of 0.5, we get;

R'(6, 0) → R'(6 × 0.5, 0 × 0.5) = R''(3, 0)

S'(8, -4) → S''(8 × 0.5, -4 × 0.5) = S''(4, -2)

T'(6, -8) → T''(6 × 0.5, -8 × 0.5) = T''(3, -4)

Applying a translation of 2 units left and 1 unit down to the R''S''T''U'', we get;

R''(3, 0) → V(3 - 2, 0 - 1) = V(1, -1)

S''(4, -2) → X(2 - 2, -2 - 1) = V(2, -3)

T''(3, -4) → Y(3 - 2, -4 -1) = Y(1, -5)

The coordinates of similar points in VXYZ are; V(1, -1), X(2, -3), and Y(1, -5)

Therefore; the sequence of rigid motion that maps RSTU to VXYZ is a reflection across the x-axis, a translation of 2 units to the left and 1 unit down followed by a dilation of 0.5 with the center of dilation at (0, 0)

The correct option that can be used is option C.

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Answer:

  4 +7x

Step-by-step explanation:

You want the additive inverse of -4-7x.

The additive inverse of an expression is the value that gives zero when added to the expression. It is the expression multiplied by -1.

  -1 · (-4 -7x) = 4 +7x

The additive inverse is 4 +7x.

__

Additional comment

  (-4 -7x) + (4 +7x) = 0

The required volume of the given figure is 1134 cubic in.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Given that,

A figure made up of two rectangular prisms has shown, we have to determine the volume of the prism.

Here,

The required volume of the figure is given as,

Volume = Volume of the bottom prism + Volume of the top prism

Volume = [7 ×2 × 21 ] + [12 × 10 × 7]

Volume = 294 + 840

Volume = 1134 cubic in.

Thus, the required volume of the given figure is 1134 cubic in.

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Answer:

Step-by-step explanation:

i did this in 10 seconds it might be wrong

(6t-5)-(2t+1)-(t-3)-2(t-3)

6t-5-2t-1-t+3-2t-6

t-9

The percentage of the cookies that were gingerbread was 98%.

We refer to a percentage as a ratio of a number.

Percentages are expressed over 100 as fractional values, like probabilities, ratios, and proportions.

The percent sign (%) is used to denote percentages.

We can compute the percentage of gingerbread cookies by adding up the total cookies (the denominator), making the number of gingerbread cookies the numerator, which is multiplied by 100.

The number of gingerbread cookies that Dale got = 49

The number of sugar cookies that Dale got = 1

The total number of cookies that Dale ordered = 50

The percentage of gingerbread cookies to the total cookies = 98% (49/50 x 100)

Thus, Dale ordered a box of fresh-baked gingerbread cookies and sugar cookies but got 98% gingerbread.

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The sum of the first 40 terms of the geometric sequence 15 + 12 + 9.6 is given as follows:

75.

The sum for this problem is defined as follows:

15 + 12 + 9.6 + ..., n = 40.

The ratio between the consecutive terms of the sequence is given as follows:

12/15 = 9.6/12 = 0.8.

This means that the sequence is a geometric sequence, for which:

The sum of the first n terms of a geometric sequence is given by the equation presented as follows:

[tex]S_n = \frac{a_1(q^n - 1)}{q - 1}[/tex]

Considering the numeric values of the parameters [tex]a_1[/tex] and q, the numeric value of the sum is given as follows:

S = 15 x (0.8^40 - 1)/(0.8 - 1)

S = 75.

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The number of $10 coins and $20 coins in a coin collection will be 31 and 20, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Dave Bowers collects U.S. gold coins. He has a collection of 51 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$710​.

Let 'x' be the number of $10 coins and 'y' be the number of $20 coins. Then the equations are given as,

x + y = 51                          ...1

10x + 20y = 710               ...2

From equations 1 and 2, then we have

10(51 - y) + 20y = 710

510 - 10y + 20y = 710

10y = 200

y = 20

The value of 'x' is given as,

x + 20 = 51

x = 31

The number of $10 coins and $20 coins in a coin collection will be 31 and 20, respectively.

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Answer:

To find the probability that both events will occur at the same time, you need to use the formula for the probability of the intersection of two events. In this case, the probability that it will rain between noon and 1pm AND that the dog walker will come at that time is:

P(Rain AND Dog Walker) = P(Rain) * P(Dog Walker | Rain)

The probability that it will rain is 20%, or 1/5. The probability that the dog walker will come at that time given that it is raining is 60%, or 3/5. Plugging these values into the formula above, we get:

P(Rain AND Dog Walker) = (1/5) * (3/5) = 3/25 = 12%

So the probability that the dog walker will be walking in the rain with the dogs is 12%.

To practice solving problems like this, you can try solving similar problems where you are given different probabilities for the two events. This will help you become more comfortable with using the formula for the probability of the intersection of two events.

Step-by-step explanation:

The correct solution after solving |6x+3|=27 is x=4 and x=-5

Hence, option (D) is the correct .

Step-by-Step Approach:

STEP 1: Value in Absolute Formula entered: |6x+3|=27

Rearrange this Absolute Value Equation.

|6x+3| = 27 was entered as the absolute value equality.

STEP 2Clear the Absolute Value Bars.

By dividing the equation into two cases, one for the Positive case and the other for the Negative case, the absolute-value bars will be removed.

|6x+3| is the Absolute Value phrase.

We'll take the negative example, -(6x+3)

Use (6x+3) for the positive case.

STEP 3: Solve the Negative Case. -(6x+3) = 27

⇒-6x-3 = 27

⇒ -6x = 30

⇒-x=5

⇒x= -5

STEP 4: Solve the Positive Case.  (6x+3) = 27

⇒(6x+3) = 27

⇒6x=24

⇒x=4

STEP 5: Conclude with the solution.

x= -5    

x= 4

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The product of given numbers is 384400.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Given that, the moon is in an orbit around the earth, and the length of this

orbit is 3.844×100,000 kilometers.

Here, 3.844 multiplied by 1 we get 3.844

When multiplying decimals by 100000, the digits shift five places to the left.

That is, 384400.0

Therefore, the product of given numbers is 384400.

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Answer:

B)  7

Step-by-step explanation:

Given information:

If there are 30 students in each class, and there are 4 classes, the total number of students is:

[tex]\begin{aligned}\implies \textsf{Total students}&=\textsf{Students per class} \times \textsf{Number of classes}\\&=\sf 30 \times 4\\&=\sf 120\end{aligned}[/tex]

Therefore, the total number of people going on the trip is:

[tex]\begin{aligned}\implies \textsf{Total number of people}&=\sf Students+Teachers+Parents\\&=\sf 120+6+14\\&=\sf 140\end{aligned}[/tex]

As there are 20 seats in each row at the theater, to calculate how many rows should be reserved for the trip, divide the total number of people by the number of seats per row:

[tex]\begin{aligned}\implies \textsf{Rows to reserve}&=\sf \dfrac{\sf Total\;people}{\sf Seats\;per\;row}\\\\&=\sf\dfrac{140}{20}\\\\&=\sf 7\end{aligned}[/tex]

Therefore, 7 rows should be reserved for the field trip.

The given expression is proved above to its equivalent value.

Given is an exponential expression.

[tex]$e^{(2\pm3\pi i)} = -e^{2}[/tex]

We can write the given expression in two possible ways -

[tex]$e^{2} e^{3\pi i}[/tex]     and        [tex]$\frac{e^{2} }{e^{3\pi i} }[/tex]

Now, we know using the De - Moivre's theorem, we can write -

[tex]$e^{i\theta} =[/tex] cos(θ) + i sin(θ)

Now -

[tex]$e^{3\pi i} =[/tex] cos(3π) + i sin(3π) = - 1

So, we can write -

[tex]$e^{2} e^{3\pi i}[/tex]  = - e²

and

[tex]$\frac{e^{2} }{e^{3\pi i} }=\frac{e^{2} }{-1}[/tex]  

[tex]$\frac{e^{2} }{e^{3\pi i} }=-e^{2}[/tex]  

Therefore, the given expression is proved above to its equivalent value.

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Answer:

sorry I i get this wrong but it is c

Answer:

D. day 4

Step-by-step explanation:

Answer:

[tex] \frac{ {a}^{ 6 } {c}^{2} }{1296 {b}^{2} } [/tex]

Step-by-step explanation:

By Using

[tex] {(\frac{a}{b} )}^{ - n} = {(\frac{b}{a})}^{n} [/tex]

Express the phrase as a positive power

We apply power in fractions for a

Six to two power can be multiplied, then multiplying the number behind A, 36

Now because on top of a fraction there is a negative power, it transferred to below the deduction, but we make the power positively

Now it's a "A" turn

After sorting the phrase "A" to the back of "c" of the phrases to power two

[tex] \frac{ {a}^{6} {c}^{2} }{1296 {b}^{2} } [/tex]

a. The linear function that models her earnings is given as follows:

y = 50 + 0.03x.

The function is graphed on the image given at the end of the answer.

b. The y-intercept of 50 represents her fixed pay of $50 per shift.

c. Four points from the graph are given as follows:

(0, 50), (100, 53), (1000, 80), (2000, 110).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

Melissa receives a daily wage of $50, hence the intercept b is given as follows:

b = 50.

She also earns a commission of 3% on her sales, hence the slope m is given as follows:

m = 0.03.

Meaning that the function is defined as follows:

y = 50 + 0.03x.

The domain of the function is given as follows:

0 ≤ x ≤ 2000.

As it is the amount of sales that she can earn per day.

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Answer:

$10.93

Step-by-step explanation:

The amount of money to be paid for 6 year loan at a given rate is  $875764.76 more than 3 year loan.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

The cost of the car is $146331.90.

And, the rate of interest for loan of 3 and 6 years are 2.16% and 3.30% respectively.

Since, it is the case of monthly compounding.

The time interval for both the cases are given as 3 × 12 = 36 and 6 × 12 = 72.

Similarly, rate can be 2.16/12 = 0.18% and 3.30/12 = 0.275.

Then, the amount to be paid for both cases are obtained as,

Plug corresponding values in the expression A = P(1  + r/100)ⁿ.

⇒ A = 146331.90(1 + 0.18/100)³⁶

⇒ A = 156119.08

And, A = 146331.90(1 + 0.275/100)⁷²

⇒ A = 1031883.84

Then, the difference can be calculated as  1031883.84 - 156119.08 = $875764.76.

Hence, the extra money to be paid for 6 year over 3 year is $875764.76.

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Answer:

Step-by-step explanation:

according to the thereom

both equation are equal as line passes through parallel lines

so,

23x -5 = 21x +5

23x - 21x = 5 + 5

2x = 10

x = 5

The solution for the given inequality (5/7)*c + 2 ≤ 4/7 is the one on the third option:

c ≤ -2

Here we want to solve the following inequality:

(5/7)*c + 2 ≤ 4/7

We want to solve this for the variable c, to do so, we need to isolate that variable.

We can start by subtracting 2 in both sides, so we will get:

(5/7)*c + 2 ≤ 4/7

(5/7)*c +2 - 2 ≤ 4/7 - 2

(5/7)*c ≤ 4/7 - 14/7

(5/7)*c ≤ -10/7

Now we can multiply both sides by 7/5 to get:

(7/5)*(5/7)*c ≤ (-10/7)*(7/5)

c ≤ -10/5

c ≤ -2

Then the correct option is the third one.

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If the area of the rectangular city park is 25/54 square miles and the length is 5/9 miles, the width of the park, in miles, is 5/6 miles.

The area is the product of the length and width of a rectangle.

To determine one side given the area and another side, we divide the area by the given side's length.

Area = 25/54 square miles

Length = 5/9 miles

Area = Length x Width

Width = 25/54 ÷ 5/9

= 25/54 x 9/5

= 5/6

Thus, the width is 5/6 miles.

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The kind of the graph represented by the points (-2, 9), (-1, 3), (0, 1), (1, 3), (2, 9) is a quadratic graph

From the question, we have the following parameters that can be used in our computation:

Set of ordered pairs

The set of ordered pairs is represented as

(-2, 9), (-1, 3), (0, 1), (1, 3), (2, 9)

Next, we represent the points as a table of values

This is represented as

x       y

-2     9

-1      3

0      1

1       3

2       9

From the above points, we can see that:

See that the absolute values of x have the same y value

The above illustration is an illustration of a quadratic graph

Hence, the points are quadratic graph

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The

number

of

pupils

that prefer

English

as their favorite subject from the table is 26

How to determine the total number

From the table provided, we have to fill the empty spaces before finding the sum of the numbers.

To calculate the

number

of girls that chose

English

= Total number of girls - sum of Mathematics and Sciences

= 38 - (20 + 12)

= 38 - 32 = 6

To calculate the exact number of boys that chose English, we have;

= Total for Mathematics- Girls that chose Mathematics

= 25 - 20 = 5

Also,

To find the

total

pupils for all the courses - total for girls in general

= 70 -38 = 32

Then,

= 32 - ( 5 + 7)

= 32 - 12 = 20

The total pupils that chose English

= 20 + 6

= 26 pupils

Thus, the

number

is 26

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The average speed during the trip is 11.9 miles per hour.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Total distance covered.

= 20 miles + 20 miles

= 40 miles

Total time.

= 2 hours + 22 minutes + 1 hour

= 3 hours 22 minutes

= 180 + 22 minutes

= 202 minutes

= 3.36 hours

Now,

Average speed.

= 40/3.36

= 11.9 miles per hour

Thus,

The average speed is 11.9 miles per hour.

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Answer:

1

Step-by-step explanation:

Substitute a and b .

12 * 1/4 + ( 6 - 4 - 4)

Calculate the difference

12 * 1/4 + ( -2 )

Cancel out the greatest common factor of 4

3 + ( -2 )

When there is a + in front of an expression in the parentheses, the expression remains the same

3 - 2

Subtract the numbers

1

So the solution is, 1

Answer:

[tex]\frac{9}{17}[/tex] or 9:17  This is the ratio of cats to dogs.

[tex]\frac{17}{9}[/tex] or 17:9  This is the ratio of dogs to cats.

Step-by-step explanation:

Answer:

Answer in image

Step-by-step explanation:

-Hope this helped