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3 years ago

Solve for x. 2/3 (x − 7) = −2

Mathematics

2 answers:

miskamm [114]3 years ago

6 0

The right Answer is:

x = 4

irina1246 [14]3 years ago

6 0

Answer:

x=4

Step-by-step explanation:

2/3 (x − 7) = −2

Multiply each side by 3/2

3/2 *2/3 (x − 7) = −2*3/2

x-7 = -3

Add 7 to each side

x-7+7 = -3+7

x=4

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Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. How much of the

emmainna [20.7K]

Answer:

<h3> 0.125 galon of 35% acid solution</h3>

Step-by-step explanation:

0.5 gallon of a 10% acid solution

10%•0.5 = 0.05 gallon of acid in that solution

x gallon of 35% acid solution

35%•x = 0.35x gallons of acid in that solution

0.05 + 0.35x total of gallons of acid in both solutions

(0.5+x) gallons of 15% acid solution

15%(0.5+x) = 0.15(0.5+x) gallons of acid in that solution

the amount of gallons of acid didn't change after mixing, so:

0.05 + 0.35x = 0.15(0.5 + x)

0.05 + 0.35x = 0.075 + 0.15x

0.35x - 0.15x = 0.075 - 0.05

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3 years ago

Read 2 more answers

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Rama09 [41]

Three hundred billion

8 0

3 years ago

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klio [65]

Answer:

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Step-by-step explanation:

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3 years ago

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frutty [35]

#6 is 6, #7 is 7, #8 is 2

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3 years ago

A wooden plank is leaning against a wall. The bottom of the plank is 3 feet from the wall. Answer each of the following question

Nadusha1986 [10]

AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.

C ====> 49 degrees

For letter a, to solve for AC:

AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.

use sine :

sin A ===> opposite/hypotenuse

Solve:

sin 49 ====> 3/AC

AC ====> 3 / sin 49

AC ====> 3.96 ft.

For letter b, to solve for BC:

We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:

a^2 + b^2 = c^2

Let:

a ===> AB

b ===> BC

c ===> AC

(AB)^2 + (BC)^2 ===> (AC)^2

3^2 + (BC)^2 ===> (3.96)^2

(BC)^2 ===> (3.96)^2 - 3^2

(BC)^2 ===> 6.6816

sqrt (BC)^2 ===> sqrt 6.6816

Answer: BC ===> 2.58 ft.

Hope that helps!!!! : )

3 0

3 years ago