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2 years ago

−7x−50≤−1 AND−6x+70>−2

Mathematics

2 answers:

gladu [14]2 years ago

4 0

Answer:

The solution is

−7≤x<12.

rusak2 [61]2 years ago

4 0

Answer:

x≥-7 and x>-12

Step-by-step explanation:

Gievm two inequalities

-7x-50≤-1 and -6x+70>-2

Solving the first inequality

-7x-50≤-1

Takimg -50 over to the other side;

-7x ≤ -1+50

-7x≤49

x≥ -49/7 (sign changes when both both sides are divided by a negative value)

x≥-7

For the second inequality

6x+70>-2

6x >-2-70

6x > -72

x >-72/6

x> -12

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4 hours worked for $12; 7 hours worked for $28l

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Answer:

$293.00

Step-by-step explanation:

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2 years ago

How do you solve: Tori needed to take a taxi. The fare for

shepuryov [24]

Answer: The required number of miles rode is 4.6875.

Step-by-step explanation: We are given to solve the following situation for the value of d :

Tori needed to take a taxi. The fare for riding in a taxi is a $3 fixed charge and $0.80 per mile. The fare for a ride of d miles is $6.75.

According to the given information, we have

$3+0.80d=6.75\\\\\Rightarrow 0.80d=6.75-3\\\\\Rightarrow 0.80d=3.75\\\\\Rightarrow d=\dfrac{3.75}{0.80}\\\\\Rightarrow d=4.6875.$

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3 years ago

Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225

Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

$m=100\ pages/hour$

$b=225\ pages$

$y=-100x+225$ ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

$0=-100x+225$

$100x=225$

$x=2.25\ hours$ ---> Xanthia's time to finish reading the book

<em>Molly</em>

$m=50\ pages/hour$

$b=225\ pages$

$y=-50x+225$ ----> the slope is negative because is a decreasing function

For y=0

$0=-50x+225$

$50x=225$

$x=4.5\ hours$ --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

$4.5\ h-2.25\ h=2.25\ h$

Convert to minutes

Multiply by 60

$2.25\ h=2.25(60)=135\ minutes$

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2 years ago

Read 2 more answers

Ms. May has to pay $5 for each bag of flour to make her cookies. She needs to buy 20 bags of flour. How much will she have to pa

xenn [34]

$100 dollars will be the end price.

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3 years ago

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uysha [10]

R example: 6 1/2 = 13/2 = 6.5

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3 years ago