Becca received 138 points out of the 150 possible points on her math test. What percent did she get correct?

In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt?

Dovator [93]

Let shirts be x and ties be y
3x+5y=$60 Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39 Equation 2 (Equation 2 will be denoted by !)
*x2 6x + 10y = $120
!x3 6x + 9y = $117
*-! y = 120-117 =3

Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15

Shirts are $15

6 0

3 years ago

Read 2 more answers

Which is a solution to the equation 3x^2 + 2x − 20 = 2x^2 + 15?

pychu [463]

the answer is b)-7 or it could be 5

6 0

3 years ago

Help! I will mark you the brainest !! ☺️☺️

Marizza181 [45]

Answer:

Part 1) $0.675\%$

Part 2) $475\%$

Part 3) $8\%$

Part 4) $\frac{67}{20}$

Part 5) $2.65$

Step-by-step explanation:

Part 1) Write as a percent 0.00675

we know that

To write a number as a percent, multiply the number by 100

so

$0.00675*100=0.675\%$

Part 2) Write as a percent 4 3/4

Convert mixed number to an improper fraction

$4\frac{3}{4}=\frac{4*4+3}{4}=\frac{19}{4}$

we know that

To write a fraction as a percent, multiply the fraction by 100

$\frac{19}{4}*100=19*25=475\%$

Part 3) Write as a percent 2/25

we know that

To write a fraction as a percent, multiply the fraction by 100

$\frac{2}{25}*100=2*4=8\%$

Part 4) write as a fraction 335%

we know that

$335\%=\frac{335}{100}$

Simplify

Divide by 5 both numerator and denominator

$\frac{335}{100}=\frac{67}{20}$

Part 5) Write as a decimal 265%

we know that

$265\%=\frac{265}{100}=2.65$

3 0

3 years ago

Which equation could be used to solve this problem? The sum of two consecutive odd integers is 24. Let n represent the first int

USPshnik [31]

If n is the first integer, then n+2 is the second one. The equation for the sum can be written as
n + (n+2) = 24 . . . . . . this equation can be used to solve the problem

2n = 22 . . . . . . . . . . . simplify, subtract 2
n = 11

The integers are 11 and 13.

_____
I like to solve problems like this by looking at the average of the integers. Here, it is 24/2 = 12. The consecutive odd integers whose average is 12 are 11 and 13.

6 0

3 years ago

Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2

Naily [24]

Hey there! :)

Line passes through (2, -4) & parallel to y = 3x+ 2

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope. "M" is simply a place mat so if we look at our given line, the "m" value is 3. Therefore, our slope is 3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our slope for our new line will be 3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (2, -4) with a slope of 3.

y-y₁=m(x-x₁)

Let's start by plugging in 3 for m (our slope), 2 for x1 and -4 for y1.

y - (-4) = 3(x - 2)

Simplify.

y + 4 = 3x - 6

Simplify by subtracting 4 from both sides.

y = 3x - 10

~Hope I helped!~

8 0

3 years ago