Ask question

Ask question

All categories

2 years ago

5

At Dorthys hair salon, 4 gallons of shampoo will last 3 weeks. She has 7 gallons of shampoo. How much more must she order if she

wants to have enough for 12 weeks?

1 answer:

lara31 [8.8K]2 years ago

5 0

X=number of gallons that she must order.

4 gallons-----------------3 weeks
(7 gallons + x)--------12 weeks

We solve this rule of 3.
(7 gallons +x)3 weeks=4 gallons*12 weeks
21 gallons weeks+3 x weeks=48 gallons weeks
3x weeks=48 gallons weeks - 21 gallons weeks
3x weeks=27 gallons weeks
x=(27 gallons weeks) / 3 weeks=9 gallons.

Solution: she must order 9 gallons more.

You might be interested in

Find the values of x and y.

Sedaia [141]

Answer:Input : A = 12, B = 8

Output : X = 2, Y = 10

Input : A = 12, B = 9

Output : -1

Step-by-step explanation:

7 0

1 year ago

Alona [7]

Soln

here

weight = 30 kg

Force = weight × 10

= 30×10

= 300

Area = cm

= 100/100

= 1

now,

Pressure = Force/Area

= 300/1

= 300 pa.

3 0

2 years ago

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

$=-\frac{1}{4}+\frac{3}{2}$

$=-\frac{1}{4}+1+\frac{1}{2}$

$=1+\frac{1}{4}$

$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

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

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

5 0

3 years ago

A new drug store is being built at the coordinates (6, 10). Is there a street parallel to (the street) that will go to the drug

gavmur [86]

Seven cruel hours of our life

5 0

3 years ago

1-25. Given f(x) =- 2/3x +3 and g(x) = 2x2 - 5, complete parts (a) through (f).

Korolek [52]

Answer:

When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.

Step-by-step explanation:

$f(x)=-\frac{2}{3x}+3$

a) $f(3)=-\frac{2}{2(3)} +3$

$=-\frac{1}{3}+3$ $=\frac{-1+6}{3}$ $=\frac{5}{3}$

b) $f(x)=-5$

$-5=-\frac{2}{3x}+3$

$-8=-\frac{2}{3x}$

$-24x=-2$

$x=\frac{1}{12}$

$g(x)=2x-5$

c) $g(-3)=2(-3)-5$

$=-6-5$

$=-11$

d) $g(x)=-7$

$-7=2x-5$

$-2=2x$

$x=-1$

e) $g(x)=8$

$8=2x-5$

$12=2x$

$x=6$

f) $g(x)=9$

$9=2x-5$

$11=2x$

$x=\frac{11}{2}$

3 0

3 years ago