Mr. Becker race car uses 3/4 gallons of gas for every 4 miles that its drives. How many gallons of gas are needed if he plans to drive 40 miles to his next race?

Answers

Answer 1

Answer: Set up a proportion and solve. 40 * .75 / 4 = 7.5
You can leave it in decimal form or convert it to 7 1/2gallons

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Which of the following is a solution of the inequality? -3 less than 2x+ 1 less than 5

Answers

Answer:

- 2 < x < 2

Step-by-step explanation:

Given

- 3 < 2x + 1 < 5 ( subtract 1 from each interval )

- 4 < 2x < 4 ( divide each interval by 2 )

- 2 < x < 2

the ratio of the weight of a book to the weight of a mug is 7:5 what fraction of the total weight of the book and mug is the weight of the book?

Answers

12:7
because you add 7 and 5 and then there is the 7 for the book weight

100-99+98-97+96-95...2-1=

Answers

100-99=1+98=99-97=2+96=98-95=3
2-1=1

A shopper bought shoes marked $40. The sale tax is 8%. How much did the shopper pay in all?

Answers

so she payed 40 plus 8% of tax, that is:
total = 40 + (8%)(40)
total = 40 + (0.08)(40)
total = 40 + 3.2 = 43.2
that is the total pay

X + 6 = x solve for x

Answers

Answer:

Undefined

Step-by-step explanation:

subtract x from both sides

$-6\neq 0$

Answer:

NO SOLUTIONS

Step-by-step explanation:

x+6=x

-x -x

6=0

6 does not equal to zero

Which system of linear inequalities is represented by the
graph?

Answers

Answer:

$y <x+1$

$y>x-2$

Step-by-step explanation:

According to the graph, the system is formed by two inequalities. Let's find out the equation to each line in first place.

Notice that the upper line passes through points (-1,0) and (0,1). First, we find its slope

$m=(y_(2)-y_(1) )/(x_(2)-x_(1) )=(1-0)/(0-(-1))=(1)/(1)=1$

Then, we use the point-slope formula to find the equation

$y-y_(1) =m(x-x_(1) )\ny-0=1(x-(-1)\ny=x+1$

Now, the dashed line indiactes that the inequalities must have sings < or >.

Notice that point (0,0) is part of its solution, that means the inequality is

$y <x+1$

We do the same process to find the other inequality.

The line passes through points (0,-2) and (2,0).

$m=(y_(2)-y_(1) )/(x_(2)-x_(1) )=(0-(-2))/(2-0)=(2)/(2)=1$

Then,

$y-y_(1) =m(x-x_(1) )\ny-0=1(x-2)\ny=x-2$

Notice that point (0,0) is part of its solution, so the inequality is

$y>x-2$

Therefore, the system of inequalities is

$y <x+1$

$y>x-2$

Answer:

y<x+1 y>x-2

Step-by-step explanation:

upper line: (0,1) (-1,0)

y=x+1

Lower line: (0,-2) (2,0)

y=x-2

I did not see any solid boundry on the line

Shaded: y<x+1 y>x-2

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