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3 years ago

The wind blew away 14 of your muffins. That was 2/5 of them! How many are left? plz show work

2 answers:

7 0

14 muffins is 2/5 of your muffins.

In total you had 5/5 muffins, which is 5/2 times more.

Hence you had 14*5/2=35 muffins !

Hence you have 35-14=21 left !

Happy muffin party

VMariaS [17]3 years ago

5 0

Find the total amount. Set up a proportion:

2/5/14 = 1/x

Cross multiply:

2/5x = 14

Divide 2/5 to both sides or multiply by its reciprocal, 5/2:

x = 14 * 5/2

x = 70/2

x = 35

So the total amount of muffins is 35.

Now subtract this from the one's that blew away to find out how many are left.

35 - 14 = 21

So there are 21 muffins left.

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Simplify the expression by combining like terms.

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Answer:

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Step-by-step explanation:

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3 years ago

The null hypothesis for an ANOVA is that all treatments/samples come from populations with the same mean. The alternative hypoth

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Answer:

Alternative hypothesis: "AT LEAST ONE" of the population means is different from the others

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

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If we assume that we have n groups and we want to check if the population means are equal, th best way to check this it's with an ANOVA test.

The hypothesis for this case are:

Null hypothesis: $\mu_{1}=\mu_{2}=\dots =\mu_{n}$

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8 0

3 years ago

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

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Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

$s = 10|x - 4| + 50$

Required

Solve for x when s = 80

Substitute 80 for x

$80 = 10|x - 4| + 50$

Subtract 50 from both sides

$80 - 50= 10|x - 4| + 50 - 50$

$30= 10|x - 4|$

Divide through by 10

$\frac{30}{10}= \frac{10|x - 4| }{10}$

$3= |x - 4|$

Reorder

$|x - 4| = 3$

This can be split into

$x - 4 = 3$ or $x - 4 = -3$

Solve for x

$x = 4 + 3$ or $x = 4 - 3$

$x = 7$ or $x = 1$

Hence:

The numbers of measure of music played are 1 and 7

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3 years ago

Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire t

soldi70 [24.7K]

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

8 0

3 years ago