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boyakko [2]
3 years ago
15

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor, membership is $65 per mo

nth, and personal training sessions are $20 each. In one month, how many personal training sessions eoukd Sarah have to buy to make the total cost at the two gyms equal?
Mathematics
1 answer:
Orlov [11]3 years ago
3 0
The answer of this problem is x = 4
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What is 1 7/8 times 5/6
hoa [83]

Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)

Steps:

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}

\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}

\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}

\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}

\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}

Hope this helps!!!

3 0
3 years ago
What are the coordinates of the image of vertex G after a reflection across the line y = x?​
Yuliya22 [10]

Answer:

The coordinates of the image of vertex G are (-5, 4)

Step-by-step explanation:

Let us revise some cases of reflection

  • If the point (x, y) reflected across the x-axis , then its image is (x, -y)
  • If the point (x, y) reflected across the y-axis , then its image is (-x, y)
  • If the point (x, y) reflected across the line y = x , then its image is (y, x)
  • If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The line of the reflection is y = x

→ That means we will switch the coordinates of the point to find its image

∵ The coordinates of vertex G are (4, -5)

∴ The x-coordinate = 4 and the y-coordinate = -5

→ Switch the two coordinates

∴ The coordinates of its image G' are (-5, 4)

∴ The coordinates of the image of vertex G are (-5, 4)

7 0
3 years ago
Elena went to a sporting goods store that
igor_vitrenko [27]

Are there any other numbers to this question? I will be glad to help.

8 0
3 years ago
Triangle $ABC$ is isosceles with $AB = BC.$ If $AC = 20$ and $[ABC] = 240,$ then find the perimeter of triangle $ABC.$
gtnhenbr [62]

The perimeter of triangle ABC is 84.

5 0
3 years ago
Read 2 more answers
(7+5) + 4 x 13-2<br> can someone please explain how to do this
Klio2033 [76]
P E M D A S

Parentheses first: 
So, 12 + 4 x 13 - 2
      12 +  52 - 2
      64 - 2
     62
8 0
3 years ago
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