Answer:
<em>3.36in</em>
Step-by-step explanation:
The total surface area of the cardboard is expressed as;
TSA = 2(LW + LH + WH)
L is the length = 4in
W is the width
H is the height = 7in
TSA = 130in²
Substitute the given values into the formula and get the width W
TSA = 2(LW + LH + WH)
130 = 2(4W+4(7) + 7W)
130 = 2(11W+28)
130 = 22W+56
22W = 130 - 56
22S = 74
W = 74/22
<em>W = 3.36in</em>
<em>hence the width of the photo is 3.36in</em>
Answer:
y=3/4x +3
Step-by-step explanation:
Find the slope first. y-y over x-x
Y: 9-6 =3
X 8-4 = 4
so the slope is 3/4
Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b
I chose 4,6 since the slope has a 4 in the denominator
Use y=mx + b
Y =6 from ordered pair m/slope= 3/4 x= 4 from ordered pair and you are looking for b
6= 3/4 (4) + b
6= 12/4 or 3 + b subtract 3 from both sides
3= b
equation is y=3/4x +3
Answer:
10
Step-by-step explanation:
The current probability of picking a red ball is 
. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:
When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).
60 = 4x + 20
40 = 4x
x = 10 red balls
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 1:</u>
A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.
<u>Problem 2:</u>
We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.
Answer:
it would take 3/5 of an hour or 0.6 as a decimal
Step-by-step explanation:
3 3/4 divided by 2 1/4 is 3/5 or 0.6
Hope this helped!
