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krek1111 [17]
3 years ago
8

Find a number if: 3/7 of it is 2 1/4

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

x=5 1/4

Step-by-step explanation:

2 1/4= \frac{9}{4}---> \frac{9}{4} divided by 3 to find 1/7x----> \frac{3}{4}=1/7x---> x=21/4---> x=5 1/4

Inessa [10]3 years ago
6 0

Answer:

The number is 5¹/₄

Step-by-step explanation:

3/7 of it is 2 ¹/₄

let the it be represented as A

3/ 7 of A = 2 ¹/₄

3A/7 = 4X2+1/4 = 9/4

3A/7= 9/4

cross multiply

3A X4 = 9x7

12A = 63

A = 63/12 = 21/4= 5¹/₄

The number is 5¹/₄

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The rectangle shown is dilated by a scale factor of 1/5
Harrizon [31]

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

5 0
3 years ago
Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min.
Readme [11.4K]

Answer:

54 minutes

Step-by-step explanation:

From the question, we are given;

  • A room with dimensions 5.2 m by 4.3 m by 2.9 m
  • The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

                                  = 5.2 m × 4.3 m × 2.9 m

                                  = 64.844 m³

Then we should know, that 1 m³ = 1000 L

Therefore, we can convert the volume of the room into L

= 64.844 m³ × 1000 L

= 64,844 L

But, the rate is 1200 L/min

Thus, time = Volume ÷ rate

                  = 64,844 L ÷ 1200 L/min

                   = 54.0367 minutes

                   = 54 minutes

Therefore, it would take approximately 54 minutes

4 0
3 years ago
9n - 15 for n = 5 help me please
MaRussiya [10]

If n = 5, then 9n = 45

45 - 15 = 30, which is the same thing as 6n


7 0
3 years ago
Tom ate 1/2 of the leftovers. How much pie in all did he eat
melisa1 [442]
1/2+1/2=2/2=1 so 1/2 was eaten and the other half was leftovers.
8 0
3 years ago
Read 2 more answers
Rational or irrational real numbers
vovikov84 [41]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
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