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love history [14]
2 years ago
11

If Leah needs to make a batch of orange sherbet cupcakes with 32 cups of flour, how much sugar should she use?

Mathematics
1 answer:
mixas84 [53]2 years ago
8 0

Answer:

12 cups of sugar

Step-by-step explanation:

The recipe uses 3 cups of sugar for every 8 cups of flour.

The diagram that models the ratio is the upper one with 3 pink squares of sugar and 8 green squares of flour.

If she uses 32 cups of flour, she is making 4 times the recipe since 32 = 4 × 8.

Then she also needs 4 times the amount of sugar.

4 × 3 = 12

Answer: 12 cups of sugar

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How will the area of the circle change if it is dilated by a scale factor of 3?
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The area would be 1/2 the original
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3 years ago
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The average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed. What is
Anna35 [415]

Answer:

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

Step-by-step explanation:

We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.

Firstly, Let X = women's gestation period

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = average gestation period = 270 days

            \sigma = standard deviation = 9 days

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X \leq 261)

         P(X < 279) = P( \frac{ X - \mu}{\sigma} < \frac{279-270}{9} ) = P(Z < 1) = 0.84134

         P(X \leq 261) = P( \frac{ X - \mu}{\sigma} \leq \frac{261-270}{9} ) = P(Z \leq -1) = 1 - P(Z < 1)

                                                           = 1 - 0.84134 = 0.15866

<em>Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68</em>

Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

3 0
3 years ago
Solve for x<br><br> x/4= 25<br><br> quick
storchak [24]

Answer:

x=100

Step-by-step explanation:

6 0
2 years ago
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Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su
Umnica [9.8K]
The phrase has two parts:

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall expression will be:

\frac{5(x+11)}{3(x+8)}
4 0
3 years ago
What is the answer to this math question
mezya [45]

Answer:

11

Step-by-step explanation:

1.80m + 0.6s = 12.00

[substitute the value of m into the equation]

1.80×(3) + 0.6s = 12

5.4 + 0.6s = 12

[make s the subject of the formula]

0.6s = 12 - 5.4

0.6s = 6.6

[divide both sides of the equation by 0.6]

0.6s / 0.6 = 6.6 / 0.6

s = 11

To prove that 11 is correct

[substitute the value of m and s into the equation]

1.80m + 0.6m = 12.00

1.80×(3) + 0.6×(11) = 12.00

5.4 + 6.6 = 12.00

12.00 = 12.00

8 0
2 years ago
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