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g100num [7]
2 years ago
15

Solve: 5x - 3(x - 2) = 8

Mathematics
1 answer:
rusak2 [61]2 years ago
4 0

Answer:

Step-by-step explanation:

5x - 3x + 6 = 8

2x + 6 = 8

2x = 2

x = 1

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Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a
saw5 [17]

Answer:

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

<u>Our system of equations:</u>

<u>x + y = 12</u>

<u>7x + 12y = 104</u>

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

<u>y = 4 ⇒ x = 12 - 4 = 8</u>

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

4 0
3 years ago
How much 75 octane gas and 90 octane gas should be blended to make 15 gallons of 88 octane gas
Lisa [10]
75x + 90(15-x)=88(15)

75x+1350-90x = 1320

-15x + 1350 = 1320

-15x= -30

x=2

the amount of 75 octane is 2 gallons
the amount of 90 octane is 13 gallons

Hope this helps.
3 0
3 years ago
A trapezoid has angles 54 degrees, 54 degrees, x, and x. Look at the trapezoid shown. What is the measure of angle x? The measur
viktelen [127]

Answer: the answer is C 126°

3 0
2 years ago
HELP PLEASEEEE !!!!!!!!!!! Will mark BRIANLIEST !!!!!
Ray Of Light [21]

Answer:

<QRS= (10.x - 1) = (10.6 - 1) = 59°

Step-by-step explanation:

the triangle is not accurate but drawing one is truly useful in calculating. Besides, I don't know how it is called in English but it is something about the exterior angles (maybe)

7 0
3 years ago
Subtract 8-4 1/2. A. 3 B. 4 C. 4 1/2 D. 3 1/2
Leokris [45]
1.
An expression of the form a \frac{b}{c} is called a "compound fraction"
 
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:

a \frac{b}{c}= \frac{c.a+b}{c}

for example, 

4\frac{1}{2} can be written as: 

4\frac{1}{2}= \frac{2.4+1}{2}=\frac{9}{2}

2.

when we subtract or add a fraction \frac{m}{n} from an integer k, 

we first write k as a fraction with denominator n. We can do this as follows:

k=k. \frac{n}{n}= \frac{kn}{n}

for example, if we want to subtract \frac{9}{2} from 8, 

we first write 8 as a fraction with denominator 2:

8=8. \frac{2}{2}= \frac{8.2}{2}= \frac{16}{2}

3.

Thus, 

8-4 \frac{1}{2}= \frac{16}{2}- \frac{9}{2}= \frac{16-9}{2}= \frac{7}{2}

4.

The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:

\frac{7}{2}= \frac{6+1}{2}= \frac{6}{2}+ \frac{1}{2}=3+ \frac{1}{2}=3\frac{1}{2}

(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)

5. Answer: D
3 0
3 years ago
Read 2 more answers
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