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3 years ago

If a number increases from 47 to 70.5 what is the rate of increase?

Mathematics

2 answers:

slamgirl [31]3 years ago

7 0

Rate of increase = change in the value of the number / initial number = (70.5-47)/47 = 23.5/47 = 0.5 = 50%

FrozenT [24]3 years ago

6 0

$\frac{70.5-47}{47} \cdot100\%= \frac{23.5}{47} \cdot100\%= \frac{2350\%}{47} =50\%\\\\Ans.\ the\ rate\ of\ increase\ is\ 50\%$

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Vladimir [108]

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for multiplying fractions, try to put them in standard a/b form first

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baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder

salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt

butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter

sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar

eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs

vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract

milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk

for 25 servings
she needs

3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
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4 0

3 years ago

On a standardized exam, the scores are normally distributed with a mean of 165 and astandard deviation of 40. Find the z-score o

vladimir1956 [14]

The Z-score is calculated by the formula below

$\begin{gathered} z-score=\frac{(x-\mu)}{\sigma}_{} \\ \mu=\operatorname{mean} \\ \sigma=s\tan dard\text{ deviation} \\ x=\text{score} \end{gathered}$

Step 2: Substitute the given parameters in the formula

$\begin{gathered} z-\text{score}=\frac{145-165}{40} \\ Z=-\frac{20}{40} \\ Z=-\frac{1}{2} \\ Z=-0.5 \end{gathered}$

Hence, the z-score of a person who scored 145 on the exam is -0.5

8 0

1 year ago

The area of a trapezoid is 243cm2. The height is 18cm and the length of one of the parallel sides is 10cm. Find the length of th

Irina18 [472]

Answer:

$Side_2 = 17\ cm$

Step-by-step explanation:

Given

Shape: Trapezoid

$Area = 243cm^2$

$Height = 18cm$

$Side_1 = 10cm$

Required

Determine the length of the second parallel side

The area of a trapezoid is:

$Area = \frac{1}{2}(Side_1 + Side_2) * Height$

Substitute values for Area, Height and Side1

$243 = \frac{1}{2}(10 + Side_2) * 18$

Multiply both sides by 2

$2 * 243 = 2 * \frac{1}{2}(10 + Side_2) * 18$

$486 = (10 + Side_2) * 18$

Divide both sides by 18

$27 = 10 + Side_2$

$Side_2 = 27 - 10$

$Side_2 = 17\ cm$

Hence;

<em>The length of the second parallel side is 17cm</em>

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3 years ago

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Phantasy [73]

Answer:

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2 years ago

What is the reciprocal of 1 8/9

notka56 [123]

Answer: 9/17
Reason

The reciprocal is simply flipping the denominator and numerator of a fraction.

1-8/9 as a mixed fraction is 17/9
So the reciprocal would be to flip it,
Giving you 9/17 which is in its simplest form

6 0

1 year ago