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Paha777 [63]
3 years ago
8

Solve the proportion ? : 32 = 9 : 4 for the unknown. a72b48c36d18

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

72 is the answer

Step-by-step explanation:

x : 32 = 9 :4

\frac{x}{32} = \frac{9}{4}

cross multiplying

∴ 4 × x = 32 × 9

  4 x = 288

Therefore x = \frac{288}{4}

      x = 72

zzz [600]3 years ago
4 0

Answer:

x : 32 = 9 : 4

4x = 288

x = 72

Step-by-step explanation:

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The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of t
AysviL [449]

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!

4 0
3 years ago
Find the volume of the shaded figure by subtracting the smaller volume from the larger
alekssr [168]

Answer:

a. 9a^3 - 9ab^2

b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

6 0
4 years ago
How to divide 33 photos into two groups so the ratio is 4 to 7
Nataliya [291]
33 photos in a 4x to 7x ratio

4x + 7x = 33
11x = 33
x = 3

33 photos can be put in a 4(3) to 7(3) ratio

which is a 12 to 21 ratio

so 12 photos on one side, and 21 on the other side to get the ratio of 4 to 7

Note:
<span>a(b) = ab = a x b = a times b</span>
3 0
3 years ago
Frank works in the supply room of a law firm. At the beginning of the month, he had 22 boxes of pens with 19 pens in each box. A
Gennadij [26K]

Answer:

Find the total pens to start with by multiplying the number of boxes by the number of pens in each box:

22 x 19 = 418.

Now subtract the number of pens left:

418 - 71 = 347

He gave out 347 pens.

4 0
3 years ago
What's the variable for 3(5x + 2)=8x + 20
sp2606 [1]

3(5x+2)=8x+20

15x+6=8x+20

15x-8x=20-6

7x=14

then you divide both sides by 2

The answer is 2.

6 0
3 years ago
Read 2 more answers
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