Solve system of equation by substitution

7y=-2x+5
3x+10y=6

Answer: Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

Answer: a transformation, which is used to resize the object

Step-by-step explanation:

the shape changes size but not shape

68 = Diane's score x 4

Equation

68= 4d

___________________

Can you see the updates?

_________________

Diane's score

4d= 68

d= 17

Answer:

  73 : 27

Step-by-step explanation:

You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.

If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.

The ratio of students who have a pet to students who don't have a pet is then ...

  (have a pet) : (don't have a pet) = 73% : 27% = 73 : 27

According to a recent survey, 73% of elementary school students have a pet, making the ratio of students with pets to those without pets 73:27.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.

If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.

The ratio of students who have a pet to students who don't have a pet is then,(have a pet) : (don't have a pet) = 73% : 27% = 73 : 27

A recent survey found that 73% of elementary school students own a pet, making the proportion of students who own pets to those who don't stand at 73:27.

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The most appropriate choice for Simultaneous linear equation will be given by -

8 packages of coffee and 4 packages of tea are sold.

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288

So,

11x + 50y = 288 ...............(1)

The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248

So,

12x + 38y = 248

2(6x + 19y) = 248

6x + 19y = [tex]\frac{248}{2}[/tex]

6x + 19y = 124 ....................(2)

Multiplying (1) by 6 and (2) by 11,

66x + 300y = 1728

66x + 209 y = 1364

Subtracting above two equations,

91 y = 364

[tex]y = \frac{364}{91}[/tex]

y = 4

Putting the value of y in (2),

6x + 19[tex]\times[/tex]4 = 124

6x + 76 = 124

6x = 124 - 76

6x = 48

[tex]x = \frac{48}{6}\\x = 8[/tex]

8 packages of coffee and 4 packages of tea are sold.

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The most appropriate choice for Simultaneous linear equation will be given by -

8 packages of coffee and 4 packages of tea are sold.

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288

So,

11x + 50y = 288 ...............(1)

The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248

So,

12x + 38y = 248

2(6x + 19y) = 248

6x + 19y =

6x + 19y = 124 ....................(2)

Multiplying (1) by 6 and (2) by 11,

66x + 300y = 1728

66x + 209 y = 1364

Subtracting above two equations,

91 y = 364

y = 4

Putting the value of y in (2),

6x + 194 = 124

6x + 76 = 124

6x = 124 - 76

6x = 48

8 packages of coffee and 4 packages of tea are sold.

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Since the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group, the type of design that the school district has implemented is  a. matched design.

A matched group design is an experimental layout where the study subjects are selected because their variables match.

Therefore, In a matched pairs design, study participants are matched according to important variables or shared traits that are pertinent to the study's subject. The second step involves assigning one member of each pair to the control group and the other to the experimental group.

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See full question below

Parents have raised major concerns over a school district's proposed experiment to examine the effectiveness of removing math tracks and instead placing all students into one open math class. In response, the school district has decided not to randomly assign students to be placed in tracked or non-tracked math classes. Instead, the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group.

which methodological problem is very likely under this scenario

Select one:

a. matched design

b. pre-post design

c. nonequivalent comparison design

d. multiple time-series design

Answer:

14

Explanation:

To evaluate the expression, we need to replace x by 4. So, the expression is equal to:

3x + 2

3(4) + 2

12 + 2

14

Therefore, the value of the expression is 14

Answer:

no

Step-by-step explanation:

- 3.5 is a negative number.

17/15 is a positive number.

Note : -

Always positive numbers are greater than negative numbers.

Answer:

1. 12

2. 4:5

3. 5

4. 30

5. 42

6. 15

7. 36

8. 1120

9. 10 2/3

Step-by-step explanation:

Answer:

In photo

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The given system is

Let's replace the second equation with the first one.

Now, we solve the quadratic equation.

Then, we have to find two numbers whose product is 4 and whose sum is 5. Those numbers are 4 and 1.

We use these values to find y.

The result of the expression given as 6x/(-2) is -3x

From the question, the expression is given as

6x/(-2)

The above expression is a quotient expression

So, we start by rewritting it as a product

This is represented as

6x/(-2) = 6x * 1/(-2)

Remove the bracket

So, we have the following equation

6x/(-2) = 6x * 1/-2

Evaluate the product

6x/(-2) = -3x

Hence, the value of the expression is -3x

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The probability that they pick the same number is 1/8.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

As given two students each use a random number generator to pick an integer between 1 and 8 inclusive.

So, the possible choices are,

8 - 1 + 1 = 8  Possible choices: 1, 2, 3, 4, 5, 6, 7, 8.

So, the probability is, 1/8.

Therefore, the probability that they pick the same number is 1/8.

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Answer:

3rd option

Step-by-step explanation:

the factors of 48 are

1 , 2, 3, 4, 6, 8, 12, 16 , 24 , 48

the factor pairs are

1 × 48 , 2 × 24 , 3 × 16 , 4 × 12 , 6 × 8

If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Consider the first odd integer as x

Then the next consecutive odd integer = x+2

The 6 times the second integer=  6(x+2)

= 6x+12

Sum of an integer and 6 times the next consecutive odd integer is 61

Then the equation will be

x + 6x+12 = 61

Add the like terms in the equation

(1+6)x + 12 = 61

7x +12 = 61

Move 12 to the right hand side of the equation

7x = 61-12

7x = 49

x = 49/7

x = 7

The second number is

x+2 = 7+2

= 9

Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

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Answer:

The total T can be described as

[tex]T = (B+(B*.15))+1[/tex]

Answer:

a) 132 g oat cereal, 132 g pretzels, 66 g nuts

b) 84 g oat cereal, 84 g pretzels, 42 g nuts

c) 200 g oat cereal, 200 g pretzels, 100 g nuts

d) 300 g oat cereal, 300 g pretzels, 150 g nuts

Step-by-step explanation:

a) 330 = 5x

x=66

132 oat cereal

132 pretzels

66 nuts

(And repeat for all masses)

:] Tell me if this is incorrect!

(Brainliest would help a lot lol)

Answer:

Day 20 = 67 pushups (64+3)

Step-by-step explanation:

Day 1 = 10 pushups  Day 2 = 13 pushups (10+3)  Day 3 = 16 pushups (13+3)

He does three more pushups each day.

So day 4 = 19 pushups (16+3)

Day 5 = 22 pushups (19+3)

Day 6 = 25 pushups (22+3)

Day 7 = 28 pushups (25+3)

Day 8 = 31 pushups (28+3)

Day 9 = 34 pushups (31+3)

Day 10 = 37 pushups (34+3)

Day 11 = 40 pushups (37+3)

Day 12 = 43 pushups (40+3)

Day 13 = 46 pushups (43+3)

Day 14 = 49 pushups (46+3)

Day 15 = 52 pushups (49+3)

Day 16 = 55 pushups (52+3)

Day 17 = 58 pushups (55+3)

Day 18 = 61 pushups (58+3)

Day 19 = 64 pushups (61+3)

Day 20 = 67 pushups (64+3)

The perimeter of the triangle ABC is 36 cm. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. If two triangles are similar, then the ratio of the corresponding sides will remain one.

Triangle ABC is congruent to triangle XYZ. In AABC, AB = 12 cm and AC = 14 cm. In AXYZ, YZ = 10 cm and XZ = 14 cm.

AB = XY = 12 cm

BC = YZ = 10 cm

AC = XZ = 14 cm

Then the perimeter of the triangle ABC is given as,

P = 12 + 10 + 14

P = 36 cm

The perimeter of the triangle ABC is 36 cm. Then the correct option is A.

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The dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.

Given,

The right triangle on the right is a scaled copy of the right triangle on the left.

The measure of first triangle = 3,4

The measure of second triangle = 2, 3/2

We have to find the scale factor

The figure indicates that the right triangle on the left would be three times larger than the right triangle on the right. In this case, the right triangle's dimension is one third of the left triangle's dimension.

The left one is three times bigger than the right one. In other words, the dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.

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Answer:

Slope = (15/14)

Step-by-step explanation:

(3, 0), (-11, -15)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁        -15 - 0        -15            15

m = ------------ = ----------- = ----------- = ---------

        x₂ - x₁        -11 - 3          -14            14

I hope this helps!

There are 212 520 ways that the door prizes can be awarded if there are 23 entrants

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

Information about the problem:

Applying the permutation formula we have:

nPr = n! / (n-r)!

23P4 = 23! / (23-4)!

23P4= 23! / 19!

23P4 = 23*22*21*20*19! / 19!

23P4 = 23*22*21*20

23P4 = 212520

It is the ordered arrangement of members belonging to a set with no repeats.

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The impact of new entrants, new products, channel conflicts, and regulation would all be associated with the external opportunities and threats dimension of a SWOT website design analysis.

In summary, the impact of new entrants, new products, channel conflicts, and regulation are all factors that fall under the external opportunities and threats dimension of a SWOT website design analysis. 1. New entrants: When new companies enter the market offering similar website design services, it can increase competition and potentially affect the market share of existing website design businesses. This is an external threat as it poses challenges and risks to the current players in the industry. 2. New products: The introduction of new and innovative website design products can create opportunities for businesses to attract more customers and gain a competitive edge. This is an external opportunity that can be leveraged to improve market position.

3. Channel conflicts: Channel conflicts refer to conflicts or disputes that arise between different distribution channels. In the context of a SWOT analysis for website design, channel conflicts can impact how products and services are delivered to customers. For example, if a website design company relies heavily on a specific distribution channel and that channel experiences conflicts or disruptions, it can affect the company's ability to reach its target market. This is an external threat that needs to be considered.

4. Regulation: Regulations imposed by governing bodies can have a significant impact on website design businesses. For example, regulations related to data privacy, accessibility, or internet governance can affect how websites are designed and operated. Compliance with regulations is crucial to avoid penalties or legal issues. This is an external threat that businesses need to navigate.

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Answer:

realto, hindi ako sure eh

Step-by-step explanation:

tama yan

DCM, this is the solution:

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.

Therefore,

KJ = 2 * GH

KJ = 2 * 30

KJ = 60 and FJ = 30

JL = 2 * FG

JL = 2 * 37

JL = 74

Answer:

Step-by-step explanation:

If the mean weight of 3 outfielders on the baseball team is 194 lb and the mean weight of the 6 other players is 229 ​lb, what is the mean weight of the 9

The sample size needed will be equal to n = 149.

The (1 - α)% confidence interval for population proportion is given by

CI = p ± z(α/2)√p (1 - p)/n

The margin of error will be given as

MOE = z(α/2)√p (1 - p)/n

We know that approximately 73% people support the candidate and margin of error is 0.06.

The critical value of z for confidence level 94% is given by z = 1.65. Now, using the formula of Margin of Error.

MOE = z(α/2)√p (1 - p)/n

n = [z(α/2)√p (1 - p)/MOE]²

n = [1.65√0.73 (1 - 0.73)/0.06]²

n = 148.84

n = 149 approximately which is the required sample size.

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We are given a set of coordinates which are;

And the slope which is;

The equation of a line in slope-intercept form is;

Note that in this equation, the variable m is the slope (that is, the coefficient of x). we can now substitute for x, y and m into the equation above and we'll have;

We now have the values of the slope and the y-intercept as

The equation now can be written as;

ANSWER:

The volume of blocks = 27n³cm3.

volume of the cube box = 216n⁹ cm3.

Here given,

6n³cm is the length of the cube-shaped box's side.

3n cm is the side length of the cube-shaped blocks.

We must calculate the volume of the box and the blocks.

The formula for cube volume is,

S³ = V

where s is the cube's side length

by substituting the values,

(6n³)³ cm3 box volume

= 216 n⁹ cm³

(3n)³ cm3 is the volume of the blocks.

= 27n³ cm³

As a result, the volume of the blocks is 27n³cm3 and the volume of the box is 216 n⁹ cm³.

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Answer:

A)  Volume of one block = 27n³  cm³

     Volume of the box = 216n⁹  cm³

B)  8n⁶ blocks will fit in one box.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cube}\\\\$V=s^3$\\\\where:\\ \phantom{ww}$\bullet$ $V$ is the volume. \\\phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}[/tex]

The side length of the cube-shaped block is 3n cm.

Substitute the given side length into the formula to find the volume of the block:

[tex]\begin{aligned}\implies \textsf{Volume of one block}&=(3n)^3\\&=3^3 \cdot n^3\\&=27n^3\;\sf cm^3\end{aligned}[/tex]

The side length of the cube-shaped box is 6n³ cm.

Substitute the given side length into the formula to find the volume of the box:

[tex]\begin{aligned}\implies \textsf{Volume of one box}&=(6n^3)^3\\&=6^3 \cdot (n^3)^3\\&=216n^9\; \sf cm^3\end{aligned}[/tex]

To find the number of blocks that will fit in the box, divide the volume of the box by the volume of one block:

[tex]\begin{aligned}\implies \textsf{Number of blocks}&=\dfrac{\textsf{Volume of box}}{\textsf{Volume of block}}\\\\& = \dfrac{216n^9}{27n^3}\\\\&=\dfrac{216}{27} \cdot \dfrac{n^9}{n^3}\\\\&=8 \cdot n^{9-3}\\\\&=8n^6\end{aligned}[/tex]

The variable expression is;

Here, we want to select an option that represents the phrase

The quotient of a number x and 8 means that we divide x by 8

That means we have a fraction, with x as the numerator and 8 as the denominator

We have this as;

5 more than this quotient means that we are to add 5 to the result

We have this as;

The expression for the total cost is 75 + 22h

From the information, the plumber charges a flat fee of 75 to visit a home and examine a clogged drain and also charges an additional 22 per hour spent fixing the drain.

Therefore, the amount that will be charged for each hour will be:

= 75 + (22 × h)

= 75 + 22h

where h = number of hours.

For example if the number of hours is 5 hours. This will be:

= 75 + 22h

= 75 + 22(5)

= 75 + 110

= 185

Your information was incomplete but an overview was given.

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Answer:

[tex] \csc(θ) = \frac{1}{ \sin(θ) } [/tex]