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USPshnik [31]
3 years ago
6

1) Solve the following equations : a)x/5 + 10 =15 b) 25x + 26 = 101

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer:

1a) 25, 1b) 3, 2a) 14, 2b) 4

Step-by-step explanation:

1a)

x/5 + 10 = 15

Subtract 10 from both sides:

x/5 = 15 - 10

x/5 = 5

Multiply both sides by 5:

x = 5 * 5

x = 25

1b)

25x + 26 = 101

Subtract 26 from both sides:

25x = 101 - 26

25x = 75

Divide both sides by 25:

x = 75/25

x = 3

2a)

Four less than a number is 10.

Let's call the number x. This means:

x - 4 = 10

Now add 4 to both sides:

x = 10 + 4

x = 14

2b)

The product of three and a number equals 12.

Let's call the number x. This means:

3 * x = 12

Now divide both sides by 3:

x = 12/3

x = 4

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3 years ago
The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classr
worty [1.4K]

Answer:

<h2>16</h2>

Step-by-step explanation:

Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.

First we will calculate the total number of books in the shelf;

3/5 * Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total of books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

<em>Hence there are 16 fiction books on the shelf.</em>

3 0
3 years ago
What is the substitution for 3x+4y^2 if x= -2 and y=3?
Hitman42 [59]

Answer:

30

Step-by-step explanation:

x= -2 and y= 3

Hence, simply put it in the equation:

3x + 4y^2

3(-2) + 4(3)^2

-6 + 4(9)

-6 + 36

30

Hope this helps!

If you find this helpful, please mark brainliest! Would really appreciate!

8 0
3 years ago
Find an equation of the line containing (-3,4) and having slope -2. If this line contains the points (a,8) and (5,b), find a and
larisa [96]

Answer:

Step-by-step explanation:

Remark

The slope intercept line is written as y = mx + b in it's general form.

You can get the slope, m, immediately because it is given as -2

So far what you have is y = -2x + b

y intercept

To get the y intercept, use the point (-3 , 4)

x = - 3

y = 4

4 = -2*(-3) + b

4 = 6 + b                 Subtract 6 from both sides

4 - 6 = 6-6 + b

b = - 2

Line

y = -2x - 2

(a,8)

y = -2a - 2

8 = -2a - 2              Add 2 to both sides

8 +2 = -2a -2+2     Combine

10 = - 2a                 Divide by - 2

10/-2 = a

a = -5

(5,b)

y = -2x - 2

x = 5

y = b

b = -2*5 - 2

b = -10 - 2

b = - 12

6 0
2 years ago
larry works at target part-time , he must earn at least $400each week , he earns $10.50 per hour , which inequality represents t
Flura [38]

Answer:

1x

Step-by-step explanation:

4x x 6x

3 0
3 years ago
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