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
vampirchik [111]
3 years ago
13

7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0
<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

  • <em>Difference</em> = subtract
  • <em>Twice</em> = double
  • <em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

  • Difference of Annie's age and twice Carl's age is 22
  • Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

  • Let Annie's age be equal to <em>x.</em>
  • Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

  • Difference of Annie's age and twice Carl's age is 22
    ⇒ x-2y=22
  • Annie's age is 13 less than 3 times Carl's age
    ⇒ x=3y-13

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

x=3y-13\\x=3(35)-13\\x=105-13\\x=92

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

You might be interested in
Use the elimination method to solve the system of equations choose the correct ordered pair x-3y=-23 5x+6y=74
Sloan [31]

Answer:

( 4, 9 ) is our solution in an ordered pair, as you could also say x = 4, and y = 9

Step-by-step explanation:

So we have the following system of equations at hand ( given directly below ), and want to make it such that each equation is multiplied by a value that makes a common variable, say x, have opposite values of coefficients such that they cancel each other out when the two equations are added, enabling you to solve for the value of the other variable, in this case variable y.

\begin{bmatrix}x-3y=-23\\ 5x+6y=74\end{bmatrix} - Multiply this top equation by -5, so the coefficient of variable x becomes - 5, opposite to the respective x coefficient in the second equation.

\begin{bmatrix}-5x+15y=115\\ 5x+6y=74\end{bmatrix} - Adding the two equations we receive the simplified equation 21y = 189. y = 189 / 21 = 9. If y = 9, x should = - 23 + 3y = - 23 + 3 * 9 = 4. To get this value of x simply isolate the value of x in the first equation given to us, and substitute the known value of y. We have our solution in the form ( 4, 9 ), where x = 4 and y = 9.

3 0
3 years ago
Shawn wants to model the number 13,450 using base-ten blocks. how many large cubes, flats, and longs does he need to model the n
enot [183]
1 rod or long is a column of 10 unit cubes.

10 longs placed side by side, form a flat (with dimensions 10×10)

10 flats, placed on top of each other form a large cube, with dimensions 10×10×10 = 1000 cubes.
-------------------------------------------------------------------------------------------------

each small cube (unit cube) represents the number 1.

thus each long represents 10
each flat represents 100

and each large cube represents 1,000


The number 13,450 can be written as

1*10,000+3*1000+4*100+5*10 using the expanded form.

This means that there are 13 large cubes, 4 flats and 5 longs needed to model the number.


Answer: 13 large cubes, 4 flats, 5 longs

5 0
4 years ago
A certain triangle has two 45 degree angles, what type of triangle is it?
Shtirlitz [24]
This type of triangle is a right triangle which has two other acute angles which are equal to one another. This is because 45 is complementary to itself.

6 0
3 years ago
The color wheel is divided into 6 equal pieces. Which statement is true about the pieces?
Sphinxa [80]

Answer:

pls you did not give us the statements

7 0
3 years ago
Read 2 more answers
Si el gerente de control de calidad desea estimar la media de vida de lámparas con 20 horas, con un nivel de confianza del 95% y
vfiekz [6]

English translation:

If the quality control manager wants to estimate the average life of lamps with 20 hours, with a confidence level of 95% and an error of 10% is assumed. What is the sample size?

6 0
3 years ago
Other questions:
  • 2. Mrs. Frederick is paid semimonthly.
    12·1 answer
  • 5 less than one fourth of x is y
    14·1 answer
  • Identify the exponential function graph below. Which of the following is the equation for this graph?
    13·1 answer
  • Hudson is driving on a long road trip. He currently has 13 gallons of gas in his car.
    11·2 answers
  • Radius/radian/arc length relationships
    12·1 answer
  • HELP ASAP ILL GIVE BRAINLIST
    6·1 answer
  • A gym has 563 people that want to attend workout classes. Each class will have 15 people.
    11·1 answer
  • Robert is making a scale model of his boat. The boat is 25 feet long. The scale he is uisng us 1 inch = 5 feet. How long is the
    5·2 answers
  • Please Answer! sorry i put the wrong page on my last one
    10·1 answer
  • 901334 x 2368 = ? I WILL GIVE BRAINLIEST TO A CORRECT ANSWER PLEASE HURRY
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!