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Schach [20]
1 year ago
9

Solve for x: three fourths times x plus five fourths equals four times x

Mathematics
1 answer:
denis-greek [22]1 year ago
5 0

Answer:

The value of x for the given expression is \dfrac{5}{13}

Step-by-step explanation:

Given as :

The statement is , three fourths times x plus five fourths equals four times x

So, \dfrac{3}{4} × x + \dfrac{5}{4} = 4 × x

<u>Now, rearranging the equation</u>

i.e 4 x -  \dfrac{3}{4} × x = \dfrac{5}{4}

Or, 4 x -  \dfrac{3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{16 x - 3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{13 x}{4}  = \dfrac{5}{4}

Or, 13 x = \dfrac{5}{4} × 4

Or, 13 x = 5

∴ x = \dfrac{5}{13}

Hence, The value of x for the given expression is \dfrac{5}{13} Answer

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Answer: PART A : \frac{4.4}{x} = \frac{3}{4}

PART B : 5.9 FEET

Step-by-step explanation:

Length of the first sign = 4.4 feet

height of the first sign = 3 feet

Length of the second sign = x feet

height of the second sign = 4 feet

If two shapes are similar , then the ratio of their sides are equal,

That is ;

\frac{h_{1}}{h_{2} } = \frac{L_{1}}{L_{2} }

PART A

\frac{4.4}{x} = \frac{3}{4}

PART B

\frac{4.4}{x} = \frac{3}{4}

cross multiplying , we have

3x = 4.4 x 4

3x = 17.6

Divide through by 3

x = 17.6/3

x = 5.86666666666667

x≈ 5.9 feet

Therefore , the length of the new sign is 5.9 feet

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2 years ago
You supervise a team of seven workers. You record the number of team members who reach
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Answer:

4.2 team members per day

Step-by-step explanation:

5 + 4 + 2 + 7 + 3 = 21

21/5 = 4.2

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2 years ago
ABCDEFGHIJ is a regular decagon. It rotates clockwise about its center to form the polygon A′B′C′D′E′F′G′H′I′J′. Match each angl
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A decagon has 10 sides.

It it is regular you can build 10 isosceles triangles from the center of the decagon to the 10 sides.

Each triangle has a common vertex where the angle of each triangle is 360° / 10 = 36°.

So each time that you rotate the decagon a multiple of 36° around the center you get an image that coincides with the original decagon.

If the letters are given clockwise:

- when you rotate 36° counter clockwise, the point A' (the image of A) will coincide with the point J.

- when you rotate 72° (2 times 36°) counter clockwise, the point A' will land on I.

- when you rotate 108° (3 times 36°) counter clockwise, the point A' will land on H.

- when you rotate 144° (4 times 36°) counter clockwise, the point A' will land on G.

- when you rotate 180° (5 times 36°) counter clockwise, the point A' will land on I.

- when you rotate 216° (6 times 36°) counter clockwise, the point A' will land on E.

- whn you rotate 252° (7 times 36°) counterclockwise, the point A' will coincide with D.

Add other 36° each time and A' will coincide successively with C, B and the same A.
8 0
1 year ago
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Martin and three of his friends take turns driving on a trip. The gas mileage for their car ranges from 28.94 to 24.56 miles per
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Answer:

A. No, the estimate should be higher

Step-by-step explanation:

To determine the maximum number of gallons of fuel the car can consume, we express this as;

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where;

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Maximum gallons=g

replacing;

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The total cost of marker is 12
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