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4 years ago

What number : Increased by 130% is 69 ?

Mathematics

1 answer:

e-lub [12.9K]4 years ago

4 0

<h2>Answer:<u> 158.7 is the answer</u></h2><h2><u>or it can be</u> <u>89.7</u></h2>

Step-by-step explanation:

<h2><u>69 + Percentage increase = </u></h2><h2><u>69 + (130% × 69) = </u></h2><h2><u>69 + 130% × 69 = </u></h2><h2><u>(1 + 130%) × 69 = </u></h2><h2><u>(100% + 130%) × 69 = </u></h2><h2><u>230% × 69 = </u></h2><h2><u>230 ÷ 100 × 69 = </u></h2><h2><u>230 × 69 ÷ 100 = </u></h2><h2><u>15,870 ÷ 100 = </u></h2><h2><u>158.7</u></h2><h2><u /></h2><h2><u /></h2><h2><u>69 increased by 130% = 158.7 </u></h2><h2><u>Absolute change (actual difference): </u></h2><h2><u>158.7 - 69 = 89.7</u></h2>

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18. The table shows the amount of money in a savings account after several weeks.

anygoal [31]

Answer:

a. Arithmetic

b. $a_{n} = a_{n-1} + 15$

c. $a_{n} = 15n + 125$

Step-by-step explanation:

A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.

In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is <em>ARITHMETIC ✔️</em>

The recursive formula will be the following: $a_{n} = a_{n-1} + 15$

The explicit formula is the following: $a_{n} = 15n + 125$

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3 years ago

The perimeter of a rectangle is equal to 40. If the length is halved and the width is divided by 3, the new perimeter is decreas

Tanzania [10]

Answer:

Step-by-step explanation:

<em> M = Original perimeter = 40</em>

Divide both sides by 2 (simplify)

Subtract w from both sides

If the length is halved and the width is divided by 3 mean:

<em>New length l1 = l / 2 = ( 20 - w ) / 2 = 10 - w / 2</em>

<em> New width w1 = w / 3</em>

The new perimeter is decreased by 24 mean:

<em> P1 = New perimeter = 40 - 24 = 16</em>

Divide both sides by 2

8 = w1 + l1

w1 + l1 = 8

w / 3 + 10 - w / 2 = 8

Subtract 10 to both sides

w / 3 + 10 - w / 2 - 10 = 8 - 10

w / 3 - w / 2 = - 2

2 w / 6 - 3 w / 6 = - 2

- w / 6 = - 2

Multiply both sides by - 6

( - 6 ) ∙ ( - w / 6 ) = ( - 2 ) ∙ ( - 6 )

w = 12

l = 20 - w = 20 - 12 = 8

Proof:

Original perimeter:

New length:

New width:

New rectangle will be the square. ( the square is a special case of the rectangle )

New perimeter:

The length of the original rectangle:

<u>Answer 2</u>

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3 years ago

3 1/3 feet are cut off a board that is 12 1/4 feet long. How long is the remaining part of the board?

alexgriva [62]

49 feet is the remaining part of the boards

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3 years ago

nekit [7.7K]

Answer:

t-shirt: £5.00, hat: £2.00

Step-by-step explanation:

You can rewrite them into equations:

8t+h=42.

3t+h=17.

Then subtract the h from both equations using the elimination process.

8t-3t is 5t, and 42-17 is 25. The new equation is 5t=25, thus t=5. If we substitute the 5 into one of the other equations, we get h=2.

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3 years ago

Read 2 more answers

A plane can fly 1440 miles in the same time as it takes a car to go 400 miles. If the car travels 130 mph

patriot [66]

Answer:

The speed will be "144 mph".

Step-by-step explanation:

Let the speed of the plane be "x mph".

then,

The car's speed be "x-130 mph".

According to the question,

⇒ $\frac{1440}{x} =\frac{400}{x-130}$

By applying cross-multiplication, we get

⇒ $1440(x-130)=400x$

⇒ $1440x-187200=400x$

⇒ $1440x-140x=187200$

⇒ $1300x=187200$

⇒ $x=\frac{187200}{1300}$

⇒ $=144 \ mph$

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3 years ago