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1 year ago

What is the solution to the following question

Mathematics

1 answer:

Anastaziya [24]1 year ago

4 0

Answer:

Step-by-step explanation:

2(x + 1) = 3(5 - x) + 2

Distribute,

2(x + 1) = 3(5 - x) + 2

2x + 2 = 3(5 - x) + 2

Rearrange terms,

2x + 2 = 3(5 - x) + 2

2x + 2 = 3(-x + 5) + 2

Distribute,

2x + 2 = 3(-x + 5) + 2

2x + 2 = -3x + 15 + 2

Add the numbers,

2x + 2 = -3x + 15 + 2

2x + 2 = -3x + 17

Subtract 2 from both sides,

2x + 2 = -3x + 17

2x + 2 - 2 = -3x + 17 - 2

2x = -3x + 17 - 2

2x = -3x + 15

Add 3x to both sides,

2x = -3x + 15

2x + 3x = -3x + 3x + 15

5x = -3x + 3x + 15

5x = 15

Divide both sides by the same factor (15),

5x = 15

5x/5 = 15/5

x = 15/5

x = 3

Hence, the answer is 3.

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Which polynomial expression are in standard form

postnew [5]

First and third, second can still be simplified.

7 0

2 years ago

PLEASEEEE

belka [17]

Answer:

The answer to your questions is: 25 new teachers

Step-by-step explanation:

Data

# of students = 2000

ratio = 3:80 teachers to students

New teachers = ?

Process

I suggest to use rule of three to solve this problem

3 teachers ---------------- 80 students

x ---------------- 2000 students

x = (2000 x 3) / 80 = 75 teachers

Number of initial teachers = 75

The ratio change to 1:20

1 teacher ------------------- 20 students

x ------------------- 2000 students

x = (2000 x 1) / 20

x = 100 teachers

Number of new teachers = 100 - 75 = 25

3 0

3 years ago

How do you solve (2x-7)(5x+3)=0

sammy [17]

Step-by-step explanation:

First I do it as separate equations 2x-7=0 and 5x+3=0. In this equation you get two answers so you first answer 2x-7=0

2x-7=0

+7 +7

2x=7

/2 /2

x=7/2

Then do 5x+3=0

-3 -3

5x=-3

/5 /5

x= -3/5

Then you can check by putting them back in.

7 0

3 years ago

Question<br> Find the value of y for the given value of x.y=x/3+5;x=6

Leokris [45]

$xy = \frac{x}{3} + 5\\x = 6\\(6)y = \frac{(6)}{3} + 5\\6y = 2 + 5 = 7\\y = \frac{7}{6}$

3 0

1 year ago

The volume of a hemisphere is 144 pi. Find the radius and total surface area.

sineoko [7]

Formula of the Volume of a hemisphere:
V = $\frac{2}{3}$ $\pi$ r³
144 $\pi$ = $\frac{2}{3}$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$\frac{432 \pi }{2 \pi }$ = $\frac{2 \pi }{2 \pi }$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

8 0

3 years ago