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3 years ago

Which equation has the least steep graph? A. y = -x + 5 B. y = -10x - 8 C. y = 4x - 3 D. y = x + 2

1 answer:

8 0

The slope of a line is the values of m in y = mx + c so choice A has a slope of -1 , B has slope of -10, C has slope of 4 and y has slope of 1.

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when a pair of shoes is sold at 12.5% discount, the selling price is 78.75. Find the original price of the pair of shoes and the

faltersainse [42]

The original price was 90$ so you saved 11.25$

3 0

3 years ago

Find the missing measures for the rectangle. l = _?_ w = 4.2 m A = 37.8 m2 P = _?_ A) 9 m; 26.4 m B) 14.7 m; 61.74 m C) 9 m; 13.

egoroff_w [7]

Answer:

The correct answer is A.

Step-by-step explanation:

The area of a rectangle can be calculated using the following formula:

$Ar=W . I$

If we know that the area measures $37.8 m^{2}$ and one side of the figure measures 4.2 m, we can say that:

$37.8m^{2}=4.2m. I$

We isolate the side we don't know:

$\frac{37.8m^{2}}{4.2m} = I\\9 m = I$

So I = 9 m

To know the perimter of a rectangle, we use the following formula:

$P= I. 2 + W . 2$

$P= 9m. 2 + 4.2m. 2$

$P= 26.4 m$

3 0

3 years ago

If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace

valina [46]

If $W$ is a random variable representing your winnings from playing the game, then it has support

$W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}$

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So $W$ has PMF

$P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}$

You can expect to win

$E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}$

or about $1.46 per game.

3 0

3 years ago

Certain items are purchased jointly. If each person pays 8coins, the surplus is 3coins, and if each person gives 7coins, the def

kicyunya [14]

Answer:

7 people
53 coins

Step-by-step explanation:

The problem statement tells us ...

8x = y +3

7x = y -4

Subtracting the second equation from the first gives ...

x = 7

Then ...

y = 7x +4 = 7·7 +4 = 53

There are 7 people, and 53 coins are required for purchase.

4 0

3 years ago

Read 2 more answers

Bill estimates that 20 people will attend the seminar if it does not rain and 12 people will attend if it rains. The weather for

Rama09 [41]

15 people would show up

6 0

3 years ago