a clothing store sells t-shirts,t,for $8 a shirt, and shorts,s,for $12 each. the store earned $180 revenue last month.the store sold three times as many t-shirts as shorts. using the method of substitution, how many t-shirts and shorts did did the store sell?

9514 1404 393

Answer:

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

__

The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

Answer:

L = 3 cm

Step-by-step explanation:

let lenght be L

First convert area in cm

1 m = 100 cm

12 m = 1200 cm

Area of rectangle =   width x lenght

1200 cm = 400 cm x L

1200 /400 = L

3 cm = L

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

Answer:

7.7 and 7.3 are the parameters

8.3 and 5.7 are statistics

Step-by-step explanation:

In the given question,

7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.

So,

It represents the population mean and standard deviation

So,

7.7 and 7.3 are the parameters .

Now,

8.3 and 5.7 is mean and standard deviation for sample , not for population.

∴ 8.3 and 5.7 are statistics.

Answer :- 20/2.5 = 8

......

The total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

20 meters of cloth if each curtain requires 2 and 1/2 meters.

The total length of the cloth = 20 meters

Each curtain requires 2 and 1/2 meters

= 2 + 0.5

= 2.5 meters

Total number of curtains = 20/2.5

Total number of curtains = 8

Thus, the total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

the critical value for 0.87 level of confidence is 1.51

Step-by-step explanation:

Given the data in the question;

level of confidence = 0.87

now,

1 - c = 0.87

c = 1 - 0.87

c = 0.13

c/2 = 0.13/2 = 0.065

now

1 - c/2  = 1 - 0.065 = 0.935

so our level of significance ∝ = 0.935

Now, the critical value will be;

[tex]Z_{0.935[/tex] is obtained as follows;

P( Z < z ) = 0.935

so we find the value from ( standard normal distribution table )

P( Z < 1.51 ) = 0.935

Therefore, the critical value for 0.87 level of confidence is 1.51

Answer:

12, 12

Step-by-step explanation:

4x+12=60

x=12

7y-8+7y+20=180

14y=180-12

y=168/14

y=12

Answer:

E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has

Answer:

..........................

Answer:

C

Step-by-step explanation:

The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.

The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

The length of the diagonal of a square is calculated using the following Pythagoras theorem

[tex]d^2 = l^2 + l^2[/tex]

Where:

So, we have:

[tex]d^2 = 3^2 + 3^2[/tex]

Evaluate the like terms

[tex]d^2 = 2(3^2)[/tex]

Take the square roots of both sides

[tex]d =3\sqrt2[/tex]

Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

Read more about diagonals at:

https://brainly.com/question/654982

Answer:

Step-by-step explanation:

C

Answer:

5×14×14×4=3,920 cm

Step-by-step explanation:

Multiply all numbers to find the area.

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

[tex](-10)^2 = 100[/tex]

second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]

Answer:

x (x-20)

Step by step

Answer: 3/5

Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2

hoped this helped:)

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

[tex] \frac{6}{10} \div \frac{2}{2} [/tex]=

[tex] \frac{3}{5} [/tex] ....

Answer:

what i got was

y-1=2x-8¬y=2x-7

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

Answer:c

Step-by-step explanation4/8= 1/2

3*1/2= 1.5

Janet uses 1 and 1/2 cups of flour this week.

That is less than four cups, so we can eliminate statement A and B.

It is not less than one though because 1.5>1

"C" is the correct answer. She uses less than four cups because 3/8 (1.5) is less than 4.:

Answer:

y<−2

Step-by-step explanation:

−6y−2>10

Add 2 to both sides.

−6y>10+2

Add 10 and 2 to get 12.

−6y>12

Divide both sides by −6. Since −6 is negative, the inequality direction is changed.

y<12/-6

Divide 12 by −6 to get −2.

y<−2

Answer:

here ya go :)

Step-by-step explanation:

Answer:

2x-y=6

Step-by-step explanation:

y-10=2(x-8)

y-10=2x-16

-10+16=2x-y

6=2x-y or  

standard form 2x-y=6

Answer:

Hey!

Step-by-step explanation:

Hope this helps you!

Best of luck! <3

Answer:

Mean 4.9 letters and standard deviation 1.5 letters

Step-by-step explanation:

Answer:  

​AB¯¯¯¯¯​ is reflected across the y- axis to form A′B′¯¯¯¯¯¯¯​ .

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

15%

350x0.15=52.5

350-52.5=297.5

Answer:

w=5/2 or W=2 1/2 if decemial 2.5

Step-by-step explanation: