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2 years ago

2/5 (10x + 15) = 26 A) 3 B) 5 C) 7 D) 12

Mathematics

2 answers:

mojhsa [17]2 years ago

8 0

Answer:

Step-by-step explanation:

2/5 (10x + 15) = 26

Distribute the 2/5

4x + 6 = 26

4x = 20

x = 5

Pavlova-9 [17]2 years ago

5 0

Answer:

x = 5 thus B) is the Answer

Step-by-step explanation:

Solve for x:

(2 (10 x + 15))/5 = 26

Multiply both sides of (2 (10 x + 15))/5 = 26 by 5/2:

(5×2 (10 x + 15))/(2×5) = 5/2×26

5/2×26 = (5×26)/2:

(5×2 (10 x + 15))/(2×5) = (5×26)/2

(5×2 (10 x + 15))/(2×5) = (2×5)/(2×5)×(10 x + 15) = 10 x + 15:

10 x + 15 = (5×26)/2

2 | 1 | 3

| 2 | 6

- | 2 |

| | 6

| - | 6

| | 0:

10 x + 15 = 5×13

5×13 = 65:

10 x + 15 = 65

Subtract 15 from both sides:

10 x + (15 - 15) = 65 - 15

15 - 15 = 0:

10 x = 65 - 15

65 - 15 = 50:

10 x = 50

Divide both sides of 10 x = 50 by 10:

(10 x)/10 = 50/10

10/10 = 1:

x = 50/10

The gcd of 50 and 10 is 10, so 50/10 = (10×5)/(10×1) = 10/10×5 = 5:

Answer: x = 5

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2 years ago

The vertices of a polygon are P(0,4), Q(5,4), R(5,−3) and S(0,−3). What is

andrezito [222]

Answer:

Perimeter of the polygon p = 24

Step-by-step explanation:

Step(i):-

Given the vertices of a polygon are

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The distance of PQ

$a = PQ = \sqrt{(4-4)^{2} +(5-0)^{2} } = \sqrt{25} =5$

The distance of QR

$b = Q R= \sqrt{(-3-4)^{2} +(5-5)^{2} } = \sqrt{49} =7$

The distance of RS

$c = RS = \sqrt{(0-5)^{2} +(-3+3)^{2} } = \sqrt{25} =5$

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Step(ii):-

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Final answer:-

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3 years ago

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kotegsom [21]

Answer:

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Step-by-step explanation:

Let "the number" be represented by x

Take each part of the statement and translate into algebraic form

"14 times a number" 14x

"decreased By eight" -8

"is" =

"22 Increased by" 22 +

"20 times The same number" 20x

Put the equation together. Solve for x by isolating.

(

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3 years ago