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nevsk [136]
3 years ago
15

2(x-3)=3/4(8x-12) step by step please

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

x = \frac{3}{4}

Step-by-step explanation:

2(x-3)=\frac{3}{4} (8x-12)

2x-6 = \frac{3}{4}8x- \frac{3}{4} 12

2x-6 = 6x - 9

-6+9 = 6x - 2x

3 = 4x

x = \frac{3}{4}

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If Taylor has 2 times as many nickels as quarters and they have a combined value of 245 cents, how many of each coin does he hav
Goryan [66]

Answer:

Taylor has 14 Nickels and 7 Quarters

Step-by-step explanation:

A nickel is equivalent to 5 cent while a quarter is equivalent to 25 cents.

If the number of nickels Taylor has is 2x then the number of quarters is x

Given that the total value is 245 cents,

5(2x) + 25x = 245

10x + 25x = 245

35x = 245

x = 7, 2x = 2 × 7 = 14

It means Taylor has 14 Nickels and 7 Quarters

5 0
3 years ago
8. For what values of x and y must the quadrilateral be a parallelogram?
Gnom [1K]
2x + 5 = 11
2x = 6
  x = 3

y + 4 = 2x + 4
y + 4 = 2(3) + 4
y + 4 = 10
y = 6

answer
x = 3 and y = 6
8 0
3 years ago
the volume, v of a sphere is given by its radius, r, in the formula v=4/3(pi)(r^3) what is the formula for the radius given the
MrMuchimi
R=(3V4<span>Home: Kyle's ConverterKyle's CalculatorsKyle's Conversion Blog</span>Volume of a Sphere CalculatorReturn to List of Free Calculators<span><span>Sphere VolumeFor Finding Volume of a SphereResult:
523.599</span><span>radius (r)units</span><span>decimals<span>  -3  -2  -1  0  1  2  3  4  5  6  7  8  9  </span></span><span>A sphere with a radius of 5 units has a volume of 523.599 cubed units.This calculator and more easy to use calculators waiting at www.KylesCalculators.com</span></span> Calculating the Volume of a Sphere:

Volume (denoted 'V') of a sphere with a known radius (denoted 'r') can be calculated using the formula below:

V = 4/3(PI*r3)

In plain english the volume of a sphere can be calculated by taking four-thirds of the product of radius (r) cubed and PI.

You can approximated PI using: 3.14159. If the number you are given for the radius does not have a lot of digits you may use a shorter approximation. If the radius you are given has a lot of digits then you may need to use a longer approximation.

Here is a step-by-step case that illustrates how to find the volume of a sphere with a radius of 5 meters. We'll u

π)⅓
4 0
3 years ago
Use the table of values to calculate the linear correlation coefficient r. X 4,53,86,162 Y 5,1,13,16
Zielflug [23.3K]
Okay so plug them in to get x and y so use 5 as x and 1 as y
7 0
3 years ago
Which ordered pair makes both inequalities true? y &lt; 3x – 1 y &gt; –x + 4 On a coordinate plane, 2 straight lines are shown.
Katen [24]

Answer:

(4,0)

Step-by-step explanation:

we have

y< 3x-1 ----> inequality A

y \geq -x+4 ----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each ordered pair

case 1) (4,0)

<em>Inequality A</em>

0< 3(4)-1

0< 11 ----> is true

<em>Inequality B</em>

0 \geq -(4)+4

0 \geq 0 ----> is true

so

the ordered pair makes both inequalities true

case 2) (1,2)

<em>Inequality A</em>

2< 3(1)-1

2< 2 ----> is not true

so

the ordered pair not makes both inequalities true

case 3) (0,4)

<em>Inequality A</em>

4< 3(0)-1

4< -1 ----> is not true

so

the ordered pair not makes both inequalities true

case 4) (2,1)

<em>Inequality A</em>

1< 3(2)-1

1< 5 ----> is true

<em>Inequality B</em>

1 \geq -(2)+4

1 \geq 2 ----> is not true

so

the ordered pair not makes both inequalities true

5 0
3 years ago
Read 2 more answers
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