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3 years ago

9

For each of the following determine a unit rate using the information given. Show the division that leads to your answer. Use ap

propriate units. All rates will be whole numbers. At a theatre, Mia paid $35 for five tickets

1 answer:

dimulka [17.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

cool

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What is the product?<br> (-3s+2t)(4s-t)

mario62 [17]

Answer:

- 12s² + 11st - 2t²

Step-by-step explanation:

Given

(- 3s + 2t)(4s - t)

Each term in the second factor is multiplied by each term in the first factor, that is

- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis

= - 12s² + 3st + 8st - 2t² ← collect like terms

= - 12s² + 11st - 2t²

6 0

3 years ago

A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

3 years ago

Read 2 more answers

Can someone please help me with this question ?

____ [38]

The cost of water would be $615 as he needs 3 acre-feet of water for 205 acre/ft

5 0

3 years ago

identify the type i error and the type ii error that corresponds to the given hypothesis. the proportion of people who write wit

djverab [1.8K]

Type I error is:

" Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 "

Type II error is:

"Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29 "

<u>What is proportion?</u>

An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

In Statistics, a type I error is the rejection of a true null hypothesis

and a type II error is the non-rejection of a false null hypothesis

Given that p = 0.29 is accepted

Now type I error is

C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

i.e. (false positive)

and type II error here is

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.

To learn more about the proportion from the given link

brainly.com/question/19994681

#SPJ4

3 0

1 year ago

What is the quotient of 5/6+2/7 A. 35/12 B. 52/42 C. 7/13 D. 5/21

BlackZzzverrR [31]

Answer is A. 35/12

Step by step.
Quotient is division.
5/6 divided by 2/7 = x
To divide fractions, flip one and multiply.
5/6 x 7/2 = 35/12
So your answer is A. 35/12.

4 0

2 years ago

Read 2 more answers