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Mademuasel [1]
3 years ago
5

How do you work out: Ben and Sue shared £60 in the ratio 2:3. work out how much each person gets

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0
(2/3)=0.66667=x/y
x+y=60
x=60-y
(60/y)-1=2/3
60/y=5/3
y=36
x+36=60
x=24

24:36
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Ended up with 7 7 quarters. Which expression equals the number of dollars Monique spent on the book?
shtirl [24]

Answer:

6.25-1.75

Step-by-step explanation:

Step-by-step explanation:

Monique had 6 dollars. She found 25 cents and then bought a book

25 cents = 0.25 dollars

Total dollar she had= 6 + 0.25= 6.25 dollars

Let x be the cost of a book

She ended up with 7 quarters. Convert quarter into dollars

1 quarter = 0.25 dollars

7 quarters = 7 times 0.25=1.75 dollars

So she ended up with 1.75 dollars

Amount she had at the beginning - the cost of book = amount ended up

Number of dollars spent on the book = Amount she had - amount ended

Number of dollars spent on the book=

6.25-1.75

6 0
3 years ago
The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a norma
kotegsom [21]

Answer:

Test statistic = 3.1587

Step-by-step explanation:

We are given that the Toy-lot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A).

Also, a sample of eleven motors was tested, and it was found that the mean current was x = 1.20 A, with a sample standard deviation of s = 0.42 A.

So, Null Hypothesis, H_0 : \mu = 0.8 { claim of 0.8 A is not low}

Alternate Hypothesis, H_1 : \mu > 0.8 { claim of 0.8 A is too low}

Now, the test statistics used here will be;

           T.S. = \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 1.20 A

                 s = sample standard deviation = 0.42 A

                 n = sample size = 11 motors

So, Test statistics = \frac{1.20 - 0.8}{\frac{0.42}{\sqrt{11} } } ~ t_1_0

                             = 3.1587

At 1% level of significance, t table gives a critical value of 2.764 at 10 degree of freedom. Since our test statistics is higher than the critical value so we have sufficient evidence to reject null hypothesis .

Therefore, we conclude that Toy-lot claim of 0.8 A is too low.

8 0
4 years ago
Tim and two of his friends were sharing an apartment and splitting the rent equally. If the rent costs x dollars per month, whic
Romashka-Z-Leto [24]

Answer: (x/3)m

Step-by-step explanation:

Tim has to pay 1/3 of the rent per month

8 0
3 years ago
Sheena wants to simplify the expression 7(4x + 2y) - 6x + 3. Tell whether each step is the first step she should take by selecti
sdas [7]

Answer:

2 2 + 1 4 + 3

Step-by-step explanation:

7 ( 4 + 2 ) − 6 + 3

2 8 + 1 4 − 6 + 3

6 0
3 years ago
Help me please its geometry
Maslowich
Answer for the first dropdown box is CAF and EFH

Answer for the second dropdown box is because they are corresponding angles of parallel lines cut by a transversal

Answer for the third dropdown box is transitive property of congruence

------------------------------------------------------------------------------

Explanation:

Angles CAF and EFH are corresponding angles because they are on the bottom side of the parallel lines, and on the right side as well. So they are congruent (due to the lines being parallel). 

Since CAF = EFH and EFH = HFD, this means that CAF = HFD

It's similar to saying if x = y and y = z, then x = z. Think of it as a connecting chain. This is the transitive property.
4 0
4 years ago
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