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oksano4ka [1.4K]
2 years ago
14

Tony is 1 2 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles

per hour, how long will it take Laura to catch up with Tony?
Mathematics
1 answer:
tamaranim1 [39]2 years ago
5 0
Laura will catch up after 15 minutes, i hope this helps.
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Identify the parent function that can be used to graph the function f(x)=-6[1/2x+3]+2/3
Sedaia [141]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
2 years ago
Kylie bought pizza for $12.75 for medium drinks Apollo’s pizza define a variable and write an expression to represent the total
ycow [4]
The answer is 15.75 for the total
4 0
3 years ago
cara works at a fine jewelry store and earns a commission on her total sales for the week. her weekly paycheck was in the amount
Gekata [30.6K]

Cara's rate of commission is 12%.

Step-by-step explanation:

Given,

Paycheck = $6500

Salary = $1000

Commission = Paycheck - Salary

Commission = 6500-1000 = $5500

Total sales for the week = $45000

Commission rate = \frac{Commission}{Total\ Sales}*100

Commission\ rate=\frac{5500}{45000}*100\\\\Commission\ rate=\frac{550000}{45000}\\\\ Commission\ rate=12.22\%

Rounding off to nearest whole number.

Commission rate = 12%

Cara's rate of commission is 12%.

Keywords: commission, subtraction

Learn more about subtraction at:

  • brainly.com/question/10570041
  • brainly.com/question/10610299

#LearnwithBrainly

6 0
3 years ago
The length of a rectangle picture frame is 2 centimeters more than twice it’s width. If the area of the frame is 364 square cent
sergeinik [125]

Answer:

Length:28 cm

Width: 13 cm

Step-by-step explanation:

Let

x ---> the length of a rectangle picture frame

y ---> the width of a rectangle picture frame

we know that

The area of a rectangle picture frame is equal to

A=xy

we have

A=364\ cm^2

so

364=xy ----> equation A

The length of a rectangle picture frame is 2 centimeters more than twice it’s width

so

x=2y+2 ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (28,13)

see the attached figure

therefore

Length:28 cm

Width: 13 cm

5 0
3 years ago
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