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fredd [130]
3 years ago
10

The product of 10 and a number, plus 12 is 52. What is the number?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0
10x + 12 = 52
10x = 52 - 12
10x = 40
10x / 10 = 40 / 10
x = 4
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2x – 1 = y + 4<br>3y +1 = 3х – 2​
ehidna [41]

Answer:x=4 y=3

Step-by-step explanation:

Let's solve your system by substitution.

2x−1=y+4;3y+1=3x−2

Step: Solve2x−1=y+4for y:

2x−1=y+4

2x−1+−y=y+4+−y(Add -y to both sides)

2x−y−1=4

2x−y−1+−2x=4+−2x(Add -2x to both sides)

−y−1=−2x+4

−y−1+1=−2x+4+1(Add 1 to both sides)

−y=−2x+5

−y

−1

=

−2x+5

−1

(Divide both sides by -1)

y=2x−5

Step: Substitute2x−5foryin3y+1=3x−2:

3y+1=3x−2

3(2x−5)+1=3x−2

6x−14=3x−2(Simplify both sides of the equation)

6x−14+−3x=3x−2+−3x(Add -3x to both sides)

3x−14=−2

3x−14+14=−2+14(Add 14 to both sides)

3x=12

3x

3

=

12

3

(Divide both sides by 3)

x=4

Step: Substitute4forxiny=2x−5:

y=2x−5

y=(2)(4)−5

y=3(Simplify both sides of the equation)

3 0
3 years ago
Which expression represents the sum of 8 and twice a number?
disa [49]
All of these answers are wrong? The sum of 8 and twice a number would be 8 + 2n. If it was twice the sum of 8 and a number it would be D. None of them are correct but D is technicllay the closest?
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Read 2 more answers
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Katarina [22]

Answer: 6x^2-2x+4

Step-by-step explanation:

Given

The length of a rectangle is given by

l=2x^2-5x+5

and the breadth is given by

w=x^2+4x-3

Perimeter is the sum of the sides of rectangle

\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4

Thus, the perimeter is given by 6x^2-2x+4.

7 0
3 years ago
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