1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dexar [7]
3 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?
Mathematics
1 answer:
lara31 [8.8K]3 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
If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]

The inverse of the matrix is

\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]

So, the Inverse Transformation is given by

T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

So, no option is correct. And the answer is

T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0
2 years ago
Elena uses 12 red beads to make 4 bracelets how many red beads will Elena need to make 12 bracelets
Schach [20]

Answer:

36

Step-by-step explanation:

u need 12 to make 4 bracelets

4 bracelets x 3 = 12 bracelets

12 beads x 3 = 36 beads

7 0
3 years ago
May you please help me figure out every angle?​
djyliett [7]

Answer:

<D = 82°

<E = 49°

<F = 49°

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.

8 0
3 years ago
A little confused.<br><br><br> solve.
Westkost [7]

Answer:

It's number three, I'm sure.

-24\sqrt{35}

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
5% tax on a $42.00 purchase under $2.00?
DaniilM [7]
Divide the 5 with 42.00 and see the answer u got
4 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ASAP BIG POINTS
    11·2 answers
  • Is 3 hours and 30 minutes more or less than 20% of a day?
    12·1 answer
  • If Matrix A has dimensions 1x4 and Matrix B has dimensions 3x4, can these be multiplied?
    12·2 answers
  • What is a way that you can write 83.041 in notation form?
    11·1 answer
  • An avogadro's number of any element is equivalent to
    9·1 answer
  • Use the distributive property -7(-2x+u-2)
    6·2 answers
  • Which of the following is a complex number?<br> -7<br> 2 + StartRoot 3 EndRoot<br> 4 + 9i<br> Pi
    6·2 answers
  • Peter began his trip at 1 on the number line shown above. He moved 3 positive counts on day one and 8 negative counts on day two
    8·2 answers
  • Rita ran 4 miles on Wednesday. The number of miles that Rita ran on Saturday can be represented by this expression.
    14·2 answers
  • What are some benefits of representing data sets using frequency distributions?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!