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Alexxandr [17]
2 years ago
15

*EXPLAIN YOUR ANSWER*

Mathematics
1 answer:
levacccp [35]2 years ago
5 0
80 is the fixed amount because it is a cost before you get their services. So basically the Y intercept. It is if you pay for an 80$ membership fee and then you are charged per month.
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Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0
3 years ago
Write one problem using a dollar amount of $420 and a percent of 40%. Provide a solution to your problem. Please help I'm desper
luda_lava [24]
You could do :
Johnny was financing a limited editions Xbox One S. The price was $420 and he put down 40%. How much is left to be financed?
dp=420(40/100)=16800/100=168
then you would subtract 420-168 which would give you 252
;) good luck !!
3 0
2 years ago
Help please ! Need the answers
son4ous [18]

Answer:

x=\frac{-5+\sqrt{13}}{6} or x=\frac{-5-\sqrt{13}}{6} (decimal: x=-0.23240 , x=-1.43425)

Step-by-step explanation:

a = 3, b = 5, c = 1

plug into quadratic formula

8 0
3 years ago
Which system of equations below has infinitely many solutions? y = –3x 4 and y = –3x – 4 y = –3x 4 and 3y = –9x 12 y = –3x 4 and
Flura [38]

the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Condition for the parallel lines.

L1,  ax + bx + c = 0

L2, dx + ey + f = 0

If \rm \dfrac{a}{d} = \dfrac{b}{e} = \dfrac{c}{f} then lines have infinitely many solutions.

<h3>Which system of equations below has infinitely many solutions?</h3>

y = –3x + 4 and 3y = –9x + 12

On comparing we have

a = -3 , b = 1, and c = 4

d = -9 , e = 3, and f = 12

Then their ratio will be

\rm \dfrac{1}{3} = \dfrac{-3}{-9} = \dfrac{4}{12}\\\\\rm \dfrac{1}{3} = \dfrac{1}{3} = \dfrac{1}{3}

Hence  y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.

Thus the option B is correct.

More about the linear system link is given below.

brainly.com/question/20379472

7 0
2 years ago
The following set of coordinates represent which figure (1,1) (5,3) (7,7) (3,5)
igomit [66]

Answer:

It should be a rhombus :)

4 0
2 years ago
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