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9514 1404 393

Answer:

Step-by-step explanation:

You are asked only for the setup, not the solution.

I find it convenient to use variable names that remind me of what they stand for. Here, we're asked for the admission prices for adults and children, so 'a' and 'c' are convenient variables to represent those values.

  Let a represent the admission price for an adult.

  Let c represent the admission price for a child.

__

The first sentence gives a relation between the numbers and the total cost:

  162 = 12c +3a

The second sentence gives a different relation:

  122 = 8c +3a

These are the "system of equations."

_____

You aren't asked for the solution, but it is (a, c) = (14, 10). It can be found easily by subtracting the second equation from the first.

Answer:

10 to 6

Step-by-step explanation:

Because the greatest common factor of 20 and 12 is 2 devide the two numbers by two and get 10 and 6, so 10:6.

Answer:

Hank

8x+12x=180

Step-by-step explanation:

Hank is correct because the angles that are given are supplementary so they are going to add up to 180. Jill is incorrect because the angles are not congruent

This is the correct answer once again because the angles are supplementary so the two added with equal 180

Answer: x = 70

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Turn this into multiplication by doing 12*(5/6) = 10

[tex](5x - 6) (x + 9)[/tex]

How to Solve:

STEP 1:

Use the sum-product pattern:

[tex]5x^{2} + 39x - 54[/tex]

[tex]5x^{2} + 45x - 6x - 54[/tex]

STEP 2:

Common factor from the two pairs:

[tex]5x^{2} + 45x - 6x - 54[/tex]

[tex]5x( x+ 9) - 6(x + 9)[/tex]

STEP 3:

Rewrite in factor form:

[tex]5x(x + 9) - 6(x + 9)[/tex]

AND NOW YOUR ANSWER IS:

[tex](5x - 6)(x + 9)[/tex]

HOPE THIS HELPS! :)

HAVE A GREAT DAY/NIGHT AND STAY SAFE!

Answer:

Parallel lines have same slope

The given line y - 2x = 8, in slope-intercept form it is:

The slope is 2 and the first line has same slope.

Supplementary angles sum to 180°°

Supplement of ∠R is:

Answer:

3(n+4)

Step-by-step explanation:

you will take common

3(n+4)

3n + 12 can be factorized to get 3(n+4).

Factorization is the process of writing a number as the product of other numbers known as factors.

3n+12 = 3(n+4)

We have factorized the given expression as 3(n+4).

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Answer: 4x+8

Step-by-step explanation:

Answer:

214.2mm

Step-by-step explanation:

To find area (I'm assuming a rectangle since you didn't specify)  All you need to do is multiply the two to find area.

Step-by-step explanation:

[tex] - 2 < 5 - \frac{k}{2} \\ - 7 < - \frac{k}{2} \\ \frac{k}{2} > 7 \\ k > 14[/tex]

Answer:

KA = 28

∠KBL = 90°

Step-by-step explanation:

KA = KB (both are radii)

KB = 28, so KA = 28

∠KBL = 90° because tangents are perpendicular to the radius

Answer:

Step-by-step explanation:

First one is 0.066 cents and the second is is 15.266 dollars

Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.

Step-by-step explanation:

The median is the middle number in the sequence.

To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.

The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.

Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.

The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.

Given  the data sets of two sets of quiz scores,

Sample A = 5, 5, 5, 5, 5

sample B = 2, 2, 2, 2, 17

mean is the average of total samples,

mean of sample A = (5 + 5+ 5 + 5 + 5 )/5

mean of sample A = 5

Mean of sample B = (2 + 2 + 2+ 2 + 17)/5

mean of sample B = 5

since the mean of both sample are same,

median is the central digit of sets

median of A is 5 and the median of B is 2,

so the median of sample A is larger than sample B.

Hence option D is correct.

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Answer: For every cup of flour we need 2/3 cups of sugar.

For every cup of sugar you need 3/2 cups of flour.

Step-by-step explanation:

Answer: X = 12, Y = 5

Step-by-step explanation:

4x-27 = x+9

   +27      +27

4x = x + 36

-x     -x

3x = 36

3x/3 = 36/3

X = 12

3y + 19 = 11y - 21

     +21          +21

3y + 40 = 11y

-3y           -3y

40 = 8y

40/8 = 8y/8

Y = 5

The values of x and y are 12 and 5, respectively

The given parameters are:

The slant sides of an isosceles trapezoid are equal.

So, we have:

[tex]EH =FG[/tex]

This gives

[tex]4x - 27 = x + 9[/tex]

Collect like terms

[tex]4x - x = 27 + 9[/tex]

[tex]3x = 36[/tex]

Divide through by 3

[tex]x = 12[/tex]

Also, the diagonals of an isosceles trapezoid are equal.

So, we have:

[tex]EG = FH[/tex]

This gives

[tex]3y + 19 = 11y - 21[/tex]

Collect like terms

[tex]11y - 3y =19 + 21[/tex]

[tex]8y = 40[/tex]

Divide through by 8

[tex]y = 5[/tex]

Hence, the values of x and y are 12 and 5, respectively

Read more about isosceles trapezoid at:

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Answer:

-8

Step-by-step explanation:

"The difference between -2 2/3 and 5 1/3" is  -2 2/3 less 5 1/3:

-2 2/3

-5 1/3

----------

-8

Answer: X

Step-by-step explanation: Because 6x3= 18

Answer:

• Own.  

• Their.

• Our.

• Their.

• Yours.

Explanation:

Possessive pronouns are used to show possession or ownership of a thing. In simple words, it shows the possession relationship of a thing with a person.

In the given sentences, the possessive pronouns are as follows-

• Own. Here, the use of "own" implies that whoever uses the park is responsible for their safety or anything that might happen to them.

• Their. Here, the possessive pronoun "their" is used to show that the children belong to the parents.

• Our. "Our" shows the possessive nature of the picnic tables to the speaker.

• Their. The same case with the second sentence. "Their" shows ownership of the dogs.

• Yours. "Yours" is used to talk about what belongs to you only.

Answer:

A $4 profit

Step-by-step explanation:

Answer:

jalvarez06 is correct

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

multiply 0 by 2 | 0 x 2 = 0

subtract 5 from 0 | 0 - 5 = -5

multiply 2 by 2 | 2 x 2 = 4

subtract 5 from 4 | 4 - 5 = -1

The table that represents the same linear relationship as the linear equation y = 2x - 5 is; Table A

The given equation is; y = 2x - 5

For the first table;

At x = 2, we have;

y = 2(2) - 5

y = -1

This and other values with input of x corresponds with the table.

For the second table;

At x = 2, we see that y = 1 instead of -1 and so this table is not correct.

For tables 3 and 4, we see that when we see that they both give the wrong values of y at x = 0 and so they are both wrong.

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Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Hope this helps:)

Answer:

27

Step-by-step explanation:

4/3b=25+11, 4/3b=36,b = 36*3/4 so b = 27

Answer:

Im assuming your needing to divide

Step-by-step explanation:

If we do the math then A is 7 and D is 4 making 11 units

Answer:

16.9

Step-by-step explanation:

Answer:

A=11

Step-by-step explanation:

11-13=2 and 2 is less than 3

Answer:

Step-by-step explanation:

Input:

a - 13<3

a<16

Answer:

1216 kg

Step-by-step explanation:

19/8 = 9.5

128 x 9.5 = 1216

Answer:

x = 13.748 feet

Step-by-step explanation:

could not see what the answer should be rounded to

this is a right triangle so you can use the Pythagorean Theorem:

6² + x² = 15²

x = [tex]\sqrt{225-36}[/tex] = [tex]\sqrt{189}[/tex] ≈ 13.748

Answer:

$5760

Step-by-step explanation:

Given data

Principal= $8,000

Tax= 28%

Let us compute 28% tax deduction

=28/100*8000

=0.28*8,000

=$2240

Hence the net expenses is

=8000 -2240

=$5760

Step-by-step explanation:

16 matches=100%

what about,12 matches=?

you then cross multiply

12/16×100%=75%

=75%