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4 years ago

Number 1 I don’t get it there is no pictures and what is a linear pair?

Mathematics

1 answer:

yKpoI14uk [10]4 years ago

6 0

A linear pair is 2 angles that form 180° or a straight line. The sum of their measures is 180°

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It takes Hank 40 minutes (2/3 hours) to mow a lawn. Penny can mow the same size lawn in 30 minutes (1/2 hour). Hank and Penny fo

andrew-mc [135]

Answer:

2 hours

Step-by-step explanation:

Given: It takes Hank $40$ minutes $\frac{2}{3}$ hours to mow a lawn. Penny can mow the same size lawn in $30$ minutes $\frac{1}{2}$ hours. Hank and Penny form a small lawn care company and have contracts for $7$ lawns of the same size previously mentioned.

To Find: How long should it take both of them working together to mow the $7$ lawns.

Solution:

Time taken by Hank to mow the lawn $=\frac{2}{3}$ $\text{hour}$

Time taken by Penny to mow the lawn $=\frac{1}{2}$ $\text{hour}$

Total lawns to be mowed $=7$

Let time taken by Hank and Penny to mow one lawn $=\text{T}$

$\frac{1}{\text{time taken by Hank}}+\frac{1}{\text{time taken by Penny}}=\frac{1}{\text{Time taken by both to mow one lawn}}$

$\frac{1}{\frac{2}{3}}+\frac{1}{\frac{1}{2}}=\frac{1}{\text{T}}$

$\frac{7}{2}=\frac{1}{\text{T}}$

$\text{T}=\frac{2}{7}$

time taken to mow $7$ lawns $=7\times\text{time taken to mow one lawn}$

$=7\times\frac{2}{7}$

$=2$ $\text{hour}$

Hence it will take $2$ $\text{hours}$ by Hank and Penny to mow $7$ lawns

5 0

3 years ago

Help fast it's timed..

Vlada [557]

The second answer choice

4 0

3 years ago

6x + 2y = 2 and 3x + y =1 solve by elimination

inna [77]

Answer:

Point form : (x,1-3x)

Equation form : x=x , y=1-3x

Step-by-step explanation: Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Hope this helps you out! If you need anymore help with math, let me know and I will be more than happy to help you! ☺

-Karleif Jonsi-

8 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that has a slope of -9 and a y-intercept of -4

tigry1 [53]

y=-9x-4

Slope intercept form uses the formula, y=mx+b, where m is the slope and b is the y- intercept.

I hope this helps. Have a great day!

7 0

3 years ago