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amid [387]
3 years ago
10

John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have

a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?

After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

He earns $540

70% of his money went to savings

Step-by-step explanation:

9 weeks x 5 days a week = 45 days

45 days x $12 a day = $540

378 * 100 / 540 =  (378*100) / 540 =  37800/540 = %70

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Find the volume of the composite figure. Round to the nearest tenth. The base of each pyramid is a square with a side length of
nataly862011 [7]

Answer:

75 cubic inches

Step-by-step explanation:

Given:

The base of each pyramid is a square with a side length of 5 inches

Height of of pyramid is 9 inches.

To find: volume of the pyramid

Solution:

As the base of each pyramid is a square with a side length of 5 inches,

length of the pyramid (l) = base of the pyramid (b) = 5 inches

Height of of pyramid (h) = 9 inches

Volume of the pyramid (V)=\frac{lbh}{3}

On putting values of l, b and h, we get

V=\frac{5\times 5\times 9}{3}=75 cubic inches

5 0
3 years ago
NEEDED BY TOMORROW!
marissa [1.9K]

Answer:

0.375, Terminating

Step-by-step explanation:

Mackenzie has 32 books and 12 of which are by her favorite author.

One of the easier ways to convert something to a decimal is to first start as a fraction. We need to have it be the number of books by her favorite author (12) out of the total number of books that she owns (32)

This in the form of a fraction would be \frac{12}{32}

Now, let us reduce this fraction.

Both terms can be divided by 4

\frac{12}{32}/\frac{4}{4} \\\\\frac{3}{8}

Recall that \frac{1}{8} =0.125

This means that

\frac{3}{8} =3*0.125=0.375

As you can see. this decimal stops after 3 places, which means that it is terminating.

7 0
3 years ago
Which is bigger 11/18 or 5/14
KengaRu [80]

Among the fractions given in this question 11/18 and 5/14,  the largest fraction is: 3/5.

  • Step-by-step explanation:

To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.

  • Resolution:

\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111

\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714

  • Conclusion:

We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.

7 0
3 years ago
A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz. Express the null hypothesis and the
zlopas [31]

Answer:

H0: mu = 8.9 fl oz.\\\\

Ha: mu ≠8.9 fluid oz

Step-by-step explanation:

Given that A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz

For testing this claim, in Statistics we perform a certain measures called hypothesis testing.

For this first step is to create null and alternate hypothesis.

Normally null hypothesis would have some statistic = something

Here we want to test the mean weight of perfume

Hence null hypothesis would be

H0: mu = 8.9 fl oz.

Alternate hypothesis would be opposite of this claim

i.e.

Ha: mu ≠8.9 fluid oz

Hence answer is

H0: mu = 8.9 fl oz.\\\\

Ha: mu ≠8.9 fluid oz

6 0
3 years ago
A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is
Citrus2011 [14]
We essentially have a ratio here:
\frac{shadow}{actual}

Since we know the ratio is going to stay constant at \frac{5}{6}, we can use this to find the height of the lamp along with the information that the total distance from the lamp to the tip of his shadow is 20:
\frac{5}{6}=\frac{20}{h}
5h=120
h=24
5 0
3 years ago
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