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3 years ago

What single percentage change is equivalent to a 12% increase followed by a 13% increase?

Mathematics

1 answer:

lozanna [386]3 years ago

5 0

Answer:

A 26.56% increase.

Step-by-step explanation:

A 12% increase corresponds to a total of 112% of the original amount.

Hence, a 13% increase of the 112% of the original amount would be equal to 1.12*1.13 = 1.2656, which equates to 126.56% of the original amount.

Hence, the single percentage change would be a 26.56% increase.

Hope this helped!

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I have three apples. If you take away two from me, how many do you have?

stira [4]

I have three apples. If you take away two from me, how many do you have? Two

6 0

4 years ago

Read 2 more answers

Explain how to use a number line to find the opposite of integers 4 units away from-6

ollegr [7]

Answer:

The opposite of integer 4 units away from -6 is 10.

Step-by-step explanation:

We know that the opposite of the opposite of a number, say 2, is the number itself.

That is:

Opposite of 2 is -2.

Then the opposite of -2 is:

- (-2) = 2

Now consider a number line.

The number that is 4 units away from -6 is -10.

4 units away implies moving backwards 4 units from -6.

So, the number is -10.

The opposite of -10 will be:

- (-10) = 10

Thus, the opposite of integer 4 units away from -6 is 10.

5 0

3 years ago

Sarah used a scale of ½ inch = 3 feet for a drawing of her business. On the drawing, a rectangular room measures 2 ½ inches by 3

Korolek [52]

Answer:

The new carpet will cost $1279.13 to the nearest cent

Step-by-step explanation:

The given is:

1. Sarah used a scale of $\frac{1}{2}$ inch = 3 feet

2. On the drawing, a rectangular room measures $2\frac{1}{2}$ inches

by $3\frac{3}{4}$ inches

3. Sarah wants to purchase new carpet for the room that costs $3.79

per square foot

We need to find much the new carpet will cost

∵ The scale is 0.5 inch = 3 feet

∵ The dimensions of the room on the drawing are $2\frac{1}{2}$ inches and

$3\frac{3}{4}$ inches

∵ $2\frac{1}{2}$ = 2.5

∵ $3\frac{3}{4}$ = 3.75

Use the ratio method

→ inches : feet

→ 0.5 : 3

→ 2.5 : x

→ 3.75 : y

- By using cross multiplication

∴ 0.5 x = 2.5 × 3

∴ 0.5 x = 7.5

- Divide both sides by 0.5

∴ x = 15 feet

∴ 0.5 y = 3.75 × 3

∴ 0.5 y = 11.25

- Divide both sides by 0.5

∴ y = 22.5 feet

∴ The actual dimensions of the room are 15 feet and 22.5 feet

Now lets find the area of the room which is the area of the carpet

∵ Area of the carpet = 15 × 22.5

∴ Area of the carpet = 337.5 feet²

∵ The cost of the carpet is $3.79 per square feet

∴ The cost of the carpet = 3.79 × 337.5 = 1278.125

∴ The cost of the carpet = $1279.13 to the nearest cent

The new carpet will cost $1279.13 to the nearest cent

Learn more:

You can learn more about ratio in brainly.com/question/13076219

#LearnwithBrainly

8 0

4 years ago

Burger Barn makes a dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Sandwich Town makes a dipping sauce

marishachu [46]

The dipping sauce which has a stronger mustard flavor between burger barn and be sandwich town is burger barn

<h3>Ratio</h3>

Burger bun:

Honey = 4 spoonfuls
Mustard = 2 spoonfuls

Mustard : honey

= 2 : 4

= 2/4

= 1/2

= 0.5

Sandwich:

Honey = 8 spoonfuls
Mustard = 2 spoonfuls

Mustard : honey

= 2 : 8

= 2/8

= 1/4

= 0.25

Therefore, burger barn has a more stronger mustard flavor of dipping sauce between burger barn and be sandwich town.

Learn more about ratio:

brainly.com/question/2328454

#SPJ1

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2 years ago

For what value of k, the zeroes of x2 + kx + 12 will differ by 1?

asambeis [7]

Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

x² + kx + 12 = (x - a) (x - b)

Expand the right side and equate the coefficients:

x² + kx + 12 = x² - (a + b) x + ab

Then

a + b = -k

ab = 12

The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.

Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :

a + (a - 1) = -k → 2a = 1 - k → a = (1 - k)/2

a (a - 1) = 12 → (1 - k)/2 • ((1 - k)/2 - 1) = 12

→ (1 - k)²/4 - (1 - k)/2 = 12

→ (1 - k)² - 2 (1 - k) = 48

→ (1 - 2k + k²) - 2 (1 - k) = 48

→ k² - 1 = 48

→ k² = 49

→ k = ± √(49) = ±7

8 0

3 years ago