Harley bought some fabric for $3.50 per yard. If she bought 3 yards, how much did the fabric cost

Karla is selling tickets for a high school play. Child tickets cost $7 and adult tickets cost $13 she sells 180 tickets and coll

ycow [4]

Answer: The number of child tickets is 85 and the number of adult tickets is 95.

Step-by-step explanation:

Let C = Number of child tickets

A = Number of adult tickets.

As per given, we have

C+A=180 (i)

7C+13A=1830 (ii)

Multiply 7 to both sides of equation (ii), we get

7C+7A=1260 (iii)

Eliminate (iii) from (ii) , we get

$6A=570\\\\\Rightarrow\ A=95$

Put value of y in (i), we get

C= 85

Hence, the number of child tickets is 85 and the number of adult tickets is 95.

3 0

3 years ago

In a statistics class of 13 sophomores, 12 juniors, and 8 seniors, 5 of whom are male sophomores, 6 of whom are female juniors,

8_murik_8 [283]

Answer:

$\frac{20}{33}$

Step-by-step explanation:

We are given that

Sophomores=13

Juniors=12

Seniors=8

Male sophomores=5

Female sophomores=6

Male seniors=4

We have to find the probability of randomly selecting a junior or a senior.

Total persons=13+12+8=33

Let A=Seniors

B=Juniors

Probability,P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of cases}$

Using the formula of probability

$P(A)=\frac{8}{33}$

$P(B)=\frac{12}{33}$

$A\cap B=0$

$P(A\cap B)=0$

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{8}{33}+\frac{12}{33}$

$P(A\cup B)=\frac{8+12}{33}=\frac{20}{33}$

Hence, the probability of selecting a junior or senior= $\frac{20}{33}$

3 0

3 years ago

Use a net to find the surface area of the right triangular prism shown:

vazorg [7]

The surface area of the right triangular prism is 270 sq ft

<h3>Total surface ara of the prism</h3>

The total surface area of the prism is the sum of all the area of its faces

For the two triangles

A = 2(0.5bh)

A = bh

A = 7 * 12 = 84 sq.ft

For the two rectangles

A = 2lw

A = 2(6*12)

A = 2 * 72 = 144 sq.ft

For the third triangle;
Area 6ft * 7ft

Area = 42 sq.feet

Taking the sum of the areas

TSA = 84 + 144 + 42

TSA = 270 sq ft

Hence the surface area of the right triangular prism is 270 sq ft

Learn more on surface area of prism here; brainly.com/question/1297098

3 0

2 years ago

Simplify the following expression:<br> (x^3 y^4 z^2) (y^4 z^6 x^4)

podryga [215]

Answer:

x^7y^8z^7 may be it is answer cause i think yhiai is basic of indices. U just have to add with it's common variable's powrt.

8 0

3 years ago

Write in factored form<br> m^2 - n^4

Evgesh-ka [11]

The answer is : $\left(m+n^2\right)\left(m-n^2\right)$

Here are the steps below to help you! ^^

8 0

2 years ago