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aivan3 [116]
3 years ago
5

One bundle of shingles covers 32 square feet. How many bundles should you buy to cover a roof that is 540 ft2?

Mathematics
2 answers:
jeka57 [31]3 years ago
5 0

Answer:

You should by 17 bundles of shingles.

Step-by-step explanation:

540 divided by 32 is 16.875.

So, you will need <em>almost </em>17 bundles.

If you were to only buy 16, you would not have enough.

alexgriva [62]3 years ago
3 0

Answer:

17 bundles

Step-by-step explanation:

540 divided by 32 is around 16.875, so buy 17 bundles

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If f(x)=square root 4x+9+2, which inequality can be used to find the domain of f(x)?
jenyasd209 [6]

we have

f(x)=\sqrt{4x+9} +2

we know that

The radicand must be greater than or equal to zero

so

4x+9 \geq0 \\ 4x\geq -9 \\x\geq -\frac{9}{4} \\ x\geq -2.25

the domain is is the interval--------> [-2.25,∞)

therefore

<u>the answer is</u>

4x+9 \geq0


8 0
3 years ago
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Suppose you deposit ​$2,000 in a savings account that pays interest at an annual rate of ​%5. If no money is added or withdrawn
Inessa [10]

Answer:

For the answer, go to:

brainly.com/question/3965798

7 0
2 years ago
How do you find the intersection of two sets?
Vlad [161]
To find the intersection<span> of these </span>two sets<span>, we need to find out what elements they have in common. The numbers 3, 4, 5 are elements of both </span>sets, therefore theintersections<span> of A and B is {3. 4. 5].</span>
3 0
3 years ago
Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on
Zanzabum

Answer:

A score of 2.6 on a test with \bar X = 5.0 and s = 1.6 and A score of 48 on a test with \bar X = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with \bar X = 5.0 and s = 1.6

II. A score of 650 on a test with \bar X = 800 and s = 200

III. A score of 48 on a test with \bar X = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

<u>The z-score probability distribution is given by;</u>

              Z = \frac{X-\bar X}{s} ~ N(0,1)

where, \bar X = mean score

            s = standard deviation

            X = each score on a test

  • <u>The z-score of First condition is calculated as;</u>

Since we are given that a score of 2.6 on a test with \bar X = 5.0 and s = 1.6,

So,  z-score = \frac{2.6-5}{1.6} = -1.5  {where \bar X = 5.0 and s = 1.6 }

  • <u>The z-score of Second condition is calculated as;</u>

Since we are given that a score of 650 on a test with \bar X = 800 and s = 200,

So,  z-score = \frac{650-800}{200} = -0.75  {where \bar X = 800 and s = 200 }

  • <u>The z-score of Third condition is calculated as;</u>

Since we are given that a score of 48 on a test with \bar X = 57 and s = 6,

So,  z-score = \frac{48-57}{6} = -1.5  {where \bar X = 57 and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that <u>A score of 2.6 on a test with </u>\bar X<u> = 5.0 and s = 1.6</u> and <u>A score of 48 on a test with </u>\bar X<u> = 57 and s = 6 </u> indicate the highest relative position.

7 0
3 years ago
3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.
Lyrx [107]
3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
4 0
3 years ago
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