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lisabon 2012 [21]
2 years ago
8

If 3/4 gallon of paint covers 1/3 of the wall, then how much paint is needed for the entire wall?​

Mathematics
2 answers:
ss7ja [257]2 years ago
7 0

Answer: 3 cans

Step-by-step explanation:if 3/4 of a gallon covers 1/3 of a wall you will need 9/4 also known as 2 1/4 of a can so you will have to buy 3 cans

serious [3.7K]2 years ago
3 0

Answer:

2 1/4 gallons or 2.25 gallons

Step-by-step explanation:

3/4 is 1/3 of the wall

then 9/4 is all of the wall

so 9/4 simplified is

2 and 1/4 gallons

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Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.
Varvara68 [4.7K]

Let's go through all the options one at a time and look for the correct ones

<u>Option 1: The slope of one boundary line is 2</u>

We have 2 equations of lines, where the coefficients of are 3 and -1 respectively

because the coefficient of x denotes the slope of a line, we know that the lines have the slope 3 and -1, not 2

Hence, this option is Incorrect

<u>Option 2: Both boundary lines are solid</u>

In order for the boundary lines to be solid, the inequality must have an 'equal to', like ≤ (less than or equal to) or ≥ (greater than or equal to)

we can see that that's the case in our case and hence, this option is Correct

<u>Option 3: A solution to the system is (1, 3)</u>

To confirm this, we'll plug these coordinates into the given inequalities and see if it stands correct

y ≤ 3x + 1

3 ≤ 3(1) + 1

3 ≤ 4 which is correct because 3 is less than 4

Second equation:

y ≥ 2 - x

3 ≥ 2 - 1

3 ≥ 1

Which is also true because 3 is greater than 1

Now, we can say that (1 , 3) is a solution to the system because it satisfies both the equations and is Correct

<u>Option 4: Both inequalities are shaded below the boundary lines</u>

For an inequality to be shaded below the boundary line, it must have the ≤ inequality (in case of solid line) and < inequality (in case of dotted line)

because the second inequality listed includes the ≥ inequality, which was not mentioned above, it won't be shaded below

another way to think about it is that any 'greater than' inequality will shade everything above the line and the 'lesser than' inequality will shade below the line

which means that this option is Incorrect

<u>Option 5: The boundary lines intersect</u>

In order for the boundary lines to intersect, they must have have different slopes.

as we mentioned in the explanation of the first option, that the slopes of the lines is 3 and -1, which are different slopes

Therefore, this option is Correct

5 0
2 years ago
Read 2 more answers
A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final co
jok3333 [9.3K]

Answer:

Step-by-step explanation:

D is your answer

$56.18

6 0
2 years ago
A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?
kupik [55]

Answer:

There are 2,598,960 5 draw poker hands are there.

There are 311,875,200 5-stud poker hands.

Step-by-step explanation:

When the order is not important, we use the combinations formula:

For example, eating an apple and an orange is the same as eating an orange and an apple.

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

When the order is important, we use the permutations formula:

For example, a 3 digit credit card password, 123 is different than 213.

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!)}

A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?

Here, the ordering is not important, so we use the combinations formula.

C_{52,5} = \frac{52!}{5!47!} = 2598960

There are 2,598,960 5 draw poker hands are there.

In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there?

The ordering is important, so we use the combinations formula.

P_{(52,5} = \frac{52!}{47!)} = 311875200

There are 311,875,200 5-stud poker hands.

7 0
2 years ago
You are a serious student who studies on Friday nights but your roommate goes out and has a good time. 40% of the time he goes o
Lyrx [107]

Answer:

the probability is 0.24 or 24%

Step-by-step explanation:

Given

Percentage of time he goes out with his girlfriend = 40%

Percentage of time he goes out to a bar = 60%

If he goes out with his girlfriend, the percentage of times he spends the night at his girlfriend’s apartment = 30%

If he goes out to a bar, percentage of times he gets in a fight and gets thrown in jail = 40%

let probability that the roommate went to the bar = A

 

As the roommate going to jail is a conditional probability dependent on A happening, the true probability of the roommate is found by multiplying the absolute probability of the roommate going out to a bar (A) by the probability of the roommate going to jail if he goes to a bar

that is Pr(B) =Pr (B n A)

Pr(B) = Pr(B/A) *Pr(A)

This is given as 60% * 40% or 0.6 * 0.4 (probabilities are 1/100 of percentages)

This gives an answer of 0.24 or 24%

4 0
2 years ago
The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes spent producing fruit cans,
Lubov Fominskaja [6]
So wee need to find x

4 0
2 years ago
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