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3 years ago

8 times the difference between a number and 6 is equal to 4 times the number...

Mathematics

2 answers:

astraxan [27]3 years ago

6 0

Answer:

(A) 12

Step-by-step explanation:

First, lets define the number as x.

"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"

8(x - 6) = 4x

8x - 48 = 4x

4x = 48

x = 12

goldenfox [79]3 years ago

4 0

Answer:

The correct answer is option A. 12

Step-by-step explanation:

It is given that,8 times the difference between a number and 6 is equal to 4 times the number.

<u>To find the number</u>

Let x be the number, then we can write,

8 * (x - 6) = 4x

8x - 48 = 4x

8x - 4x = 48

4x = 48

x = 48/4 = 12

Therefore the correct answer is option A. 12

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Which situation could the expression 1/4 ÷ 3 represent?

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Answer:

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Step-by-step explanation:

The situation could be

Alice needs to divide 1/4 pound of meat into three equal parts. What is the weight of each part?

Divide 1/4 by 3

$\frac{(1/4)}{3}=\frac{1}{12}\ pounds$

The weight of each part is $\frac{1}{12}\ pounds$

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3 years ago

The two figures above are congruent. Find the measure of the angle that isn't labeled on either figure.

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4 years ago

4$ is what percent of 50$ ?

djyliett [7]

8 percent. The answer to 4$is what percent of 50$ is 8%

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3 years ago

Read 2 more answers

A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.

VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

$A = \frac{\theta}{360} * \pi r^2$

This gives

$A = \frac{135}{360} * 3.14 * 65^2$

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters

Read more about sector areas at:

brainly.com/question/16736105

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4 0

2 years ago

Whst will be the multiplicative inverse of<br>3/5 - 4/27 + 5/18

Yuliya22 [10]

Answer:

Find the multiplicative inverse of the following

(i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5

(vi) -1

Solution:

The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.

(i) The Multiplicative inverse of -13 is -1/13

∵ -13 × (-1/13) = 1

(ii) The Multiplicative inverse of -13/19 is -19/13

∵ -13/19 × (-19/13) = 1

(iii) The Multiplicative inverse of 1/5 is 5

∵ 1/5 × 5 = 1

(iv) The Multiplicative inverse of -5/8 × -3/7 is 56/15

∵ -5/8 × (-3/7) = 15/56 and 15/56 × 56/15 = 1

(v) The Multiplicative inverse of -1 × -2/5 is 5/2

∵ -1 × (-2/5) = 2/5 and 2/5 × 5/2 = 1

(vi) The Multiplicative inverse of -1 is -1

∵ -1 × (-1) = 1

3 0

2 years ago