0. What are the means of the following proportion? 3⁄15 = 12⁄60 A. 15 and 12 B. 3 and 15 C. 3 and 60 D. 12 and 60

wolverine [178]

The answer is C based on SAS

8 0

3 years ago

What is the equation of the line shown in the graph? A function graph of a line with two points (-3,-2) and (-1,2) with an x axi

Svetllana [295]

Y=(1/2 x)-2

My Work:
Say that the slop is "a" and that the y-intercept is "b".

For the slope:
First coordinate equation: -3=-2a+b
Second coordinate equation: -1=2a+b
Combine the equations. -3-(-1)=-2a-(2a)+b-(b)
Break down the parenthesis. -3+1=-2a-2a+b-b
Simplify the equation. -2=-4a
Divide both sides by -4 to get the answer to the slope. a=1/2

For the y-intercept:
Use the second coordinate's equation and the now known slope. -3=-2*1/2+b
Multiply -2 by 1/2 (Order of Operations). -3=-1+b
Add +1 to both sides to cancel the -1. -3+1=b
Finally, solve the solve -3+1 to get the answer to the y-intercept. b=-2

5 0

3 years ago

Read 2 more answers

Mr. Ramirez gave his class

Angelina_Jolie [31]

Answer:

38 pages per hour

Step-by-step explanation:

Rate of reading = $\frac{\text{Total number of pages read by Davida}}{\text{Time taken to read}}$

By substituting the given values in the question,

Total number of pages read by Davida = $28\frac{1}{2}$ = $\frac{57}{2}$

Time taken by Davida = 45 minutes

Since, 1 minute = $\frac{1}{60}$ hours

Therefore, 45 minutes = $\frac{45}{60}=\frac{3}{4}$ hours

Rate of reading = $\frac{\frac{57}{2}}{\frac{3}{4} }$

= $\frac{57}{2}\times \frac{4}{3}$

= 38 pages per hour

Therefore, rate of reading by Davida is 38 pages per hour.

6 0

3 years ago

The length of one side, s, of a shipping box is s(x) = ^3√2x, where x is the volume of the box in cubic inches. A manufacturer n

almond37 [142]

Answer:

Minimum value: 6 inches,

Maximum value: 8 inches.

Step-by-step explanation:

To find the minimum length of s, we need to use the minimum volume of the shipping box in the equation, so:

s_minimum = ^3√(2*108) = ^3√216 = 6 inches

The maximum value of the volume will give us the maximum value of the length:

s_maximum = ^3√(2*256) = ^3√512 = 8 inches

So the minimum value of the length is 6 inches and the maximum value is 8 inches.

8 0

3 years ago

A standard deck of cards contains 52 cards. One card is selected from the deck.

Anastaziya [24]

Answer:

1) Probability of randomly selecting a diamond or club = $\frac{1}{2}$

2)Probability of randomly selecting a diamond or club or heart = $\frac{3}{4}$

3) P(selecting a five or club) = $\frac{4}{13}$

Step-by-step explanation:

Total cards in the deck = 52

Noe Let E : favorable Event

So, $P(E) = \frac{\textrm{Number of Favorable outcomes}}{\textrm{Total outcomes}}$

1 ) Probability of randomly selecting a diamond or club

Here the favorable event is picking a club or diamond

hence, favorable outcomes = Number of club and diamond

= 13 + 13 = 26

⇒P(selecting a diamond or club) = $\frac{26}{52} = \frac{1}{2}$

2) Probability of randomly selecting a diamond or club or heart

Here the favorable event is picking a diamond and club and heart.

hence, favorable outcomes = Number of clubs + diamond + heart

= 13 + 13 + 13 = 39

⇒P(selecting a diamond or club or heart) = $\frac{39}{52} = \frac{3}{4}$

3 )Probability of randomly selecting a five or club.

Here the favorable event is selecting a five or club.

hence, favorable outcomes = Number of 5 in a deck + Number of clubs

= 3 + 13 = 16

⇒P(selecting a five or club) = $\frac{16}{52} = \frac{4}{13}$

3 0

3 years ago