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2 years ago

How many integers between 1-100 are divisible by 3 or 5 or 7?

1 answer:

lina2011 [118]2 years ago

7 0

3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 78 81 84 87 90 93 96 99 = 33

5 10 20 25 35 40 50 55 65 70 80 85 95 100 = 14
7 14 28 49 56 77 91 98 = 8

So 55 numbers are divisible by 3 or 5 or 7.

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Mr. Webster is buying a carpet for an exercise room in his basement the room will have an area of 230 ft.².

kumpel [21]

Mr. Webster is buying a carpet for an exercise room in his basement the room will an area of 230 ft

5 0

2 years ago

Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0

2 years ago

Under the translation T(-5, -2) the point (1, 6) will become (-4, -4).<br><br> True<br><br> False

Butoxors [25]

Step-by-step explanation:

<h3>It's False</h3>

Because (-5+ 1, - 2 + 6) = (- 4, 4) which is not equal to (-4, - 4).

7 0

3 years ago

Read 2 more answers

trapecia [35]

Step-by-step explanation:

7:3

4:x

-cross multiply

7x = 12

x = 12÷7

x = 1.7

7 0

3 years ago

What is the correct radical form of this expression?

Sophie [7]

Option A. $\sqrt[5]{\left(32 a^{10} b^{\frac{5}{2}}\right)^{2}}$ is the correct radical form.

Step-by-step explanation:

Step 1:

The numerator of the exponential is kept where it is whereas when converting an exponential into a radical, the denominator becomes the root of the variable.

The numerator of the exponential is 2 while the denominator is 5.

Step 2:

So the numerator is kept where it is while the denominator, 5 becomes the root of the variable.

Out of the given options, options 2, 3 and 4 have square roots so they cannot be the answers. Option 1 has a root to the power of 5, so it is the correct radical form.

So option 1 is the right answer.

4 0

2 years ago