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
Ket [755]
3 years ago
8

Maura is 5 years younger than her sister Cara. Seven years ago, Maura was half as old as her sister. How old is Maura now?

Mathematics
1 answer:
masha68 [24]3 years ago
4 0
Let's call Maura's age now M and Cara's age now C.

We know Maura is five years younger than Cara. In symbols that is, M - 5 = C

We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols: M-7= \frac{1}{2}(C-7)

Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:

M-7= \frac{1}{2}(C-7)
C-5-7= \frac{1}{2}(C-7)
C-12= \frac{1}{2}C-( \frac{1}{2})(7)
C-12= .5C-3.5
.5C-12= -3.5
.5C= 8.5
C= 17

Cara is 17. Since Maura is 5 years younger she is 12.

As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.
You might be interested in
Expressions and Equations
marissa [1.9K]

Answer:

a. Yes

b. Yes

c. Yes

d. No

Step-by-step explanation:

a. Because -10x+4x=6x

b. 2(12-3x)=2*12-2*3x=24-6x

c. 24 and -6x just switched places.

d. 24x-6x=18x not 24-6x

3 0
3 years ago
Rewrite the radical in exponential form
Kamila [148]

\sqrt[4]{10v}    = \sqrt[4]{10}  \times  \sqrt[4]{v}
4 0
3 years ago
Describe the end behavior of the graph of the following polynomial function:
MrRa [10]

We will have the following:

From the polynomial we will have that:

*It falls to the left and rises to the right.

This can be seeing as follows:

5 0
1 year ago
Which one that doesn’t belong ? 1/20, 20/25, 2/3, 5,4 <br> Need help!!
Setler [38]

Answer:

\frac{5}{4}

Step-by-step explanation:

Out of the given options, \frac{5}{4} is the only fraction that is improper. All other options are not improper. Therefore, \frac{5}{4} would not belong is the given group of fractions.

Hope this helps.

3 0
3 years ago
Read 2 more answers
What is the value of sin T?<br> (Round to four decimal places if needed.)
Inessa [10]
Answer: The correct answer is 0.1529.

The sine ratio is the length of the opposite side over the length of the hypotenuse.

In this problem, that would be 13 over 83.

If we divide 13 by 83, we get the decimal 0.1529.
8 0
3 years ago
Other questions:
  • Which choice is equivalent to the quotient shown here when x&gt;0?
    9·1 answer
  • Which expression shows 56x+40y−48z written as a product of the greatest common factor and one other factor?
    6·1 answer
  • One card is randomly selected from a deck of cards. Find the odds against drawingnbsp a king.
    8·1 answer
  • Given (1,-5) and (5,-3), what is the midpoint of the two points?
    15·1 answer
  • If f(x) equals 3X -2 what is f(5.9)
    8·1 answer
  • True or false is .00007 times 10 negative 5 irrational number
    8·2 answers
  • Can somebody please help me?
    11·2 answers
  • Solve for x. (round to the nearest tenth)
    9·2 answers
  • Help me solve this question
    6·1 answer
  • Please I need help asap
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!