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3 years ago

When 5 is added to a certain number and the result is multiplied by 3 the final answer is 27 what is the original number

Mathematics

2 answers:

Irina-Kira [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Let the number be x

5 is subtracted from a certain number means it will be x - 5

The result is multiplied by 7, the final result is 63,

7 (x - 5) = 63

7x - 35 = 63

7x = 63 + 35

7x = 98

x = 98/7

x = 14

The number is 14

Answer the number is 14 and the equation is 7 (x - 5) = 63

Katyanochek1 [597]3 years ago

3 0

Answer:

The original number is 4

Step-by-step explanation:

Let x be the number.

5 is added to x => 5+x

When it is multiplied by 3,

3*(5+x) = 27

=> 15 + 3x = 27

Subtract 15,

3x = 27 - 15 = 12

Divide by 3,

x = 4

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Is 3584 a term of the series 7+14+28+56........?

MrRa [10]

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{14}{7}$ = 2 , then

$a_{n}$ = 7 $(2)^{n-1}$

Equate $a_{n}$ to 3584 and solve for n

7 $(2)^{n-1}$ = 3584 ( divide both sides by 7 )

$2^{n-1}$ = 512 , that is

$2^{n-1}$ = $2^{9}$

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

4 0

3 years ago

Given h(x) = 2x – 3, find h(6).

Harrizon [31]

Answer:

h(6) = 9

Step-by-step explanation:

h(x) = 2x – 3,

Let x = 6

h(6) = 2*6 -3

= 12 -3

= 9

5 0

3 years ago

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What would be the mean if the value 3 was added to the following set?

ira [324]

14 + 14 + 17 + 19 + 25 = 89
89/5=17.8

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3 years ago

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Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last

Tpy6a [65]

The amount of water Mary needs to pour into the vase:
V= 226.19 in^3

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3 years ago

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A recipe calls for 1/4 cup of brown sugar for every 2/3 cup of white sugar. How many cups of brown sugar is required for every c

sammy [17]

The right answer is Option B: 3/8

Step-by-step explanation:

Given,

1/4 cup of brown sugar is for 2/3 cup of white sugar.

Ratio of brown sugar to white sugar = $\frac{1}{4}:\frac{2}{3}$

Let,

x be the brown sugar required for 1 cup of white sugar.

Ratio of brown sugar to white sugar = x:1

Using proportion;

Ratio of brown sugar to white sugar :: Ratio of brown sugar to white sugar

$\frac{1}{4}:\frac{2}{3}::x:1$

Product of mean = Product of extreme

$\frac{2}{3}*x=\frac{1}{4}*1\\\frac{2}{3}x=\frac{1}{4}$

Multiplying both sides by 3/2

$\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2}\\x=\frac{3}{8}$

3/8 cups of brown sugar is required for 1 cup of white sugar.

The right answer is Option B: 3/8

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

3 0

3 years ago