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evablogger [386]
4 years ago
15

5(x+4)+10-2x+3(2x+9)

Mathematics
1 answer:
qwelly [4]4 years ago
4 0

Answer:

x = (-19)/3

Step-by-step explanation:

Solve for x:

10 - 2 x + 5 (x + 4) + 3 (2 x + 9) = 0

5 (x + 4) = 5 x + 20:

10 - 2 x + 5 x + 20 + 3 (2 x + 9) = 0

3 (2 x + 9) = 6 x + 27:

6 x + 27 + 5 x - 2 x + 10 + 20 = 0

Grouping like terms, 6 x + 5 x - 2 x + 10 + 20 + 27 = (-2 x + 5 x + 6 x) + (10 + 20 + 27):

(-2 x + 5 x + 6 x) + (10 + 20 + 27) = 0

-2 x + 5 x + 6 x = 9 x:

9 x + (10 + 20 + 27) = 0

10 + 20 + 27 = 57:

9 x + 57 = 0

Subtract 57 from both sides:

9 x + (57 - 57) = -57

57 - 57 = 0:

9 x = -57

Divide both sides of 9 x = -57 by 9:

(9 x)/9 = (-57)/9

9/9 = 1:

x = (-57)/9

The gcd of 57 and 9 is 3, so (-57)/9 = (-(3×19))/(3×3) = 3/3×(-19)/3 = (-19)/3:

Answer: x = (-19)/3

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Step-by-step explanation:

95%+15%=110% so, 110%-100% is 10% and this means that 10% of both, costs 1.20. now, 10 times 1.20 is 12 dollars and we know that the whole purchace costs 12 dollars. 15 percent of 12 dollars is 1.8 dollars or, one dollar and 80 cents

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2 years ago
What is the value of |4.75|
kari74 [83]
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4 0
3 years ago
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent
nalin [4]

Answer:

The last one (x=11.3, y=8).

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use sin()=\frac{opposite}{hypotenuse}.

sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31

Find y.

Notice that, we can use the Pythagorean Theorem (c^2=a^2+b^2) to find y.

c^2=a^2+b^2

11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99

3) Round them off to the nearest tenth.

x=11.31\\x=11.3

y=7.99\\y=8

Therefore, the correct choice is the last one (x=11.3, y=8).

4 0
3 years ago
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