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Anit [1.1K]
3 years ago
10

If 25 is added to 5 times a certain number, the result is 7 times the number minus 35. Find the number. ​

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let the certain number =x

According to the question

{:}\longrightarrow\sf 5x+25=7x-35

  • Simplify

{:}\longrightarrow\sf 7x-35=5x+25

{:}\longrightarrow\sf 7x-5x=25+35

{:}\longrightarrow\sf 2x=60

{:}\longrightarrow\sf x={\dfrac {60}{2}}

{:}\longrightarrow\sf x=30

\thereforeThe number is 30.

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The table shows the ratio between the number of books ordered and their cost: Find equivalent ratios when the number of books or
Nana76 [90]

Answer:

The answer is below

Step-by-step explanation:

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1.     y = 3x = 3(1) = 3

For x = 2     y=3x = 3(2) = 6

For x = 3     y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate  

8 0
4 years ago
Simplify each expression.
MrRa [10]
1)B -26-27x
steps :distribute ,-9 times 3 =-27 , -9 times 3x = -27x , now combine like terms :you have a 1 and a -27 ,1-27=-26,and you left with -27



2)D 11-49x
steps :distribute , positive 7 times 1= 7 and then positive 7 times negative 7x =-49, now combine like terms ,since you have a positive 4 combine it with positive 7 which is 11 and finally put it together with -49x which it would look like 11-49x
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3 years ago
Can you please help me with 19 20 and 21 thank you
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19. 5.50-1.25=4.25
21. y = -9

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3 years ago
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Elena L [17]

Answer:

5^2+12^2= c^2

25+144=c^2

169=c^2

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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\mathbb{MY \: ANSWER}

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Step-by-step explanation:

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