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vesna_86 [32]
3 years ago
10

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charg

es a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Mathematics
1 answer:
MissTica3 years ago
6 0
X=y+1 Toe rappers X=X Dance world
Dance world is a better choice
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How to slove step by step
wariber [46]
\frac{x+3}{12} = \frac{2}{7}

Multiply both sides by 12, so that we get rid of the fraction in x.

12 · (x+3)/12 = 2/7 · 12

Simplify.

x + 3 = 24/7

Then, subtract 3 from both sides, so that "x" gets isolated.

x = 24/7 - 3

Turn "3" into an improper fraction so that we could find the value of x easier.

3 = 21/3

So :

x = 24/7 - 21/7

Simplify.

x = 3/7

~Hope this helps!~


7 0
3 years ago
In this figure
alina1380 [7]

Answer:

∠y = 62.5°

∠x  =  27.5°

Step-by-step explanation:

z is right angle. ∠z = 90°

∠x = ∠y - 35

∠x + ∠y + ∠z = 180      {Angle sum property of triangle}

y - 35 + y + 90 = 180

y + y - 35 + 90 = 180 {Combine like terms}

  2y  + 55 = 180

          2y = 180 -55      {Subtract 55 from both sides}

          2y = 125         {Divide both sides by 2}

            y = 125 /2

∠y = 62.5°

∠x = 62.5 - 35 = 27.5°

6 0
3 years ago
Yesterday, Michelle's Snack Shack went through 3 3/5 bottles of ketchup. If they used 1 3/10 times as much mustard as ketchup, h
Dima020 [189]
Okay. To find the answer to this question, let's multiply both fractions together. 3 3/5 as an improper fraction is 18/5 and 1 3/10 as an improper fraction is 13/10. Multiply straight across to get the values. 18/5 * 13/10 is 234/50 or 4 17/25 in mixed number form. Michelle's Snack Shack went through 4 17/25 bottles of mustard.
4 0
3 years ago
Which statement best describes parallel lines?
Margaret [11]

Answer:

Step-by-step explanation:

Parallel lines have identical slopes and different y intercepts.

y = 3x + 2

y = 3x + 9

These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)

7 0
3 years ago
Write the equation for a line that passes through the point (2,5) and a slope of m =10 in point slope form
wlad13 [49]

Answer:

y=10x-15

Step-by-step explanation:

with the points given you know x=2 and y=5

make a new point called (x,y)

now use the formula (y-5)/(x-2)=10 (10 being the gradient)

y-5 = 10(x-2)

y-5=10x-20

add 5 to both sides

y-5+5=10x-20+5

y=10x-15

8 0
3 years ago
Read 2 more answers
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