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seropon
4 days ago
12

The Hoffman family has bought one pizza on Friday night every week for the last 10 years.

Mathematics
You might be interested in
Dan gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smar
Leona [12618]

Response:

1/6

Detailed explanation:

Let

c -----> the count of cola bottles chosen by Dan

s -----> the count of smarties selected by Dan

m -----> the count of marshmallows selected by Dan

we have

c=3s -----> A equation

m=2s -----> B equation

we understand that

To determine the fraction of the sweet bag that consists of smarties, we must divide the number of smarties by the total amount of sweets

The overall number of sweets is calculated as

(c+s+m)

substituting equations A and B into the total sweets

(3s+s+2s) =6s

Calculate the fraction

s/6s

Reduce it

1/6

3 0
1 month ago
The sharks are fed three times a day. During the morning feeding , 2/15 tons of fish is fed. During the afternoon feeding, the w
zzz [12365]

Answer:

1/6 ton of fish is provided during the night feeding.

Step-by-step explanation:

The fish consumed in the morning is \dfrac{2}{15} tons, and the amount of fish served in the afternoon is \dfrac{1}{15} greater than in the morning. This means

\dfrac{2}{15} +\dfrac{1}{15}

Let’s represent the quantity of fish given at night as x, and if the total fish fed throughout the day equals \dfrac{1}{2}, we have

\dfrac{2}{15}+(\dfrac{2}{15} +\dfrac{1}{15})+x=\dfrac{1}{2}

By summing the numerators on the left side, we derive:

\dfrac{5}{15} +x=\dfrac{1}{2}

and subtracting \dfrac{5}{15} from both sides allows us to isolate x:

x=\dfrac{1}{2} -\dfrac{5}{15}

Since \dfrac{5}{15} =\dfrac{1}{3}, we derive

x=\dfrac{1}{2}-\dfrac{1}{3}

The common denominator for the fractions is 6; hence, we write the equation in the form

x=\dfrac{3}{6}-\dfrac{2}{6}

and simplifying the numerators results in:

\boxed{x=\dfrac{1}{6} }

which indicates the amount of tons fed during the night feeding.

7 0
2 months ago
Factor the expression 4x + 32. Explain each step you take in the process.
zzz [12365]
4x+32

4 goes into 4 1 time. (4/4=1)
4 goes into 32 8 times. (32/4=8)
We can factor out 4 from both numbers. 

4(1x+8)
aka 4(x+8)
6 0
2 months ago
Read 2 more answers
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