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Umnica [9.8K]
3 years ago
13

Carlos is five years older than twice his sister's age. carlos is 13.which equation and solution correctly identifies his sister

's age?2x - 5 = 13; x = 92x 5 = 13; x = 42x - 5 = 13; x = 42x 5 = 13; x = 9
Mathematics
2 answers:
oee [108]3 years ago
5 0
C=carlo=13
x=sister


carlos (13) is (=) 5 years older (5+) twice sisters age (2 times x)
13=5+2x
mius 5 both sides
13-5=5-5+2x
8=0+2x
8=2x
divide both sides by 2
4=x

2x+5=13
x=4
Bogdan [553]3 years ago
4 0

Answer:

2x+5=13

x=4

Step-by-step explanation:

Carlos is five years older than twice his sister's age. carlos is 13.

Let x represents the sister's age

Carlos age = twice of sisters age plus 5 years

twice of sister's age means 2 times sister's age

Carlos age = 2x+5

Now Carlos age is 13

So the equation is 13= 2x+5

Now we solve for x to find the solution

2x+5=13

Subtract 5 from both sides

2x=8

Divide both sides by 2

x=4

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The answer is -16x-14+1
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3 years ago
I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd
Alex

Answer:    $5,828.28

<u>Step-by-step explanation:</u>

Use the Compound Interest formula:     A=P(1+\frac{r}{n})^{nt}       where

  • A is the accrued amount (balance)
  • P is the principal (initial amount invested)
  • r is the interest rate (in decimal form)
  • n is the number of times compounded each year
  • t is the time of the investment (in years)

Given: P = 4,900

           r = 3.5% (0.035)

           n = 2

           t = 5

A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\

5 0
3 years ago
X - 12<br> 2x<br><br> find the perimeter
11111nata11111 [884]

Answer:

6x-24

Step-by-step explanation:

First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.

3 0
3 years ago
The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side
MariettaO [177]

Answer: The second option (160 cm)

Step-by-step explanation:

1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.

2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.

3. Therefore, you can write the following expression, where x is an integer:

3x+3x+5x+8x=380

4. Solve for x:

3x+3x+5x+8x=380\\19x=380\\x=\frac{380}{19}\\x=20

5. Therefore, the longest side is:

8x=8*20=160 (160 cm)

5 0
3 years ago
Read 2 more answers
Please help!!! Thank you!!!
Reptile [31]
To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.

First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2

Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.

When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.

117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.

Hope this helps!
8 0
3 years ago
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