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3 years ago

A(1,1) B(1,4) C(4,4) (D4,1) x=-2 3 units up

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

A(-1,4) B(-1,7) C(2,7) D(2,4)

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Gary and Jessica exercise for a total of 18 hours per week. Jessica exercises 2 less than 3 times the hours that Gary exercises.

horsena [70]

<h3>Answer: 5</h3>

Work Shown:

g = number of hours that Gary exercises

3g-2 = number of hours that Jessica exercises

(g) + (3g-2) = 18

4g-2 = 18

4g = 18+2

4g = 20

g = 20/4

g = 5

Gary exercises 5 hours per week.

3 0

2 years ago

Heeelp

alukav5142 [94]

Answer: see below

Step-by-step explanation

Let 2 + a = 11 x

Let 35 - b = 11 y

Where x and y are any unknown integer

subtract the two equations

- 33 + a + b = 11 (x+y)

a+ b = 11 (x+ y) +33

a+ b = 11 (x+y) + 3 (11)

a+ b = 11(x+ y+3)

Which proves that a+b is a factor of 11

6 0

3 years ago

Ana can finish a certain job in 10 hours. Together, Ana and Nina can finish the same job in 3 hours. How many hours can Nina fin

Over [174]

Answer: 4.5 hours

<u>Step-by-step explanation:</u>

$Ana: \dfrac{1}{10}\ \text{job per hour}\\\\Nina: \dfrac{1}{x}\ \text{job per hour}\\\\Together: \dfrac{1}{3}\ \text{job per hour}\\\\\\Ana + Nina = Together\\\dfrac{1}{10}\quad +\dfrac{1}{x}\quad =\quad \dfrac{1}{3}\\\\\\\dfrac{1}{10}(30x)+\dfrac{1}{x}(30x) =\dfrac{1}{3}(30x)\\\\\\\rightarrow\quad 3x+30=10x\\\\.\quad 3x+30=10x\\\underline{-3x\qquad \quad -3x\quad}\\.\qquad \quad 30=7x\\\\.\qquad \quad \dfrac{30}{7}=\dfrac{7x}{7}\\\\\\.\qquad \quad \dfrac{30}{7}=x$

$.\qquad \quad 4.5=x$

5 0

3 years ago

What is the answer to can someone pls help me 5x-4=21?

damaskus [11]

Answer:

5 x 4= 20

Step-by-step explanation:

5,10,15,20 its 20 5 x 4= 20

5 0

3 years ago

Read 2 more answers

a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Morgarella [4.7K]

$Area\ of\ base:A_B=169\pi\ ft^2\\\\A_B=\pi r^2\ \ \ (r-radius)\\\\\pi r^2=169\pi\ \ \ /:\pi\\\\r^2=169\\\\r=\sqrt{169}\\\\r=13\ (ft)\\\\H=2r\to H=2\cdot13=26\ (ft)$

$
lateral\ area:A_L=2\pi rH\\\\A_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\\\\Surface\ area:A_S=2A_B+A_L\\\\A_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)$

5 0

3 years ago

Read 2 more answers