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3 years ago

You prepare 10 scoops of dog food for 5 dogs, and prepare 16 scoops of dog food for 8 dogs. What

Mathematics

1 answer:

Svetllana [295]3 years ago

3 0

Answer:

12 scoops of dog food are needed for 6 dogs,

Step-by-step explanation:

Proportions

The number of scoops of dog foods and the number of dogs are proportional variables.

We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.

We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.

Thus, the constant of proportionality is 2.

For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.

12 scoops of dog food are needed for 6 dogs,

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Write an equivalent expression for (3m - 6)(8m2 - 40m - 5).

ycow [4]

Answer:

24m3−168m2+225m+30

Step-by-step explanation:

(3m+−6)(8m2+−40m+−5)

=(3m)(8m2)+(3m)(−40m)+(3m)(−5)+(−6)(8m2)+(−6)(−40m)+(−6)(−5)

=24m3−120m2−15m−48m2+240m+30

=24m3−168m2+225m+30

4 0

3 years ago

Students can buy up to 10 books at the book fair the cost of the books as shown in the graph what is the range of the graph

bogdanovich [222]

The answer is 8 okay

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4 years ago

Samantha is taking out a loan for $17,452 at 6% simple interest for one year. How much interest will she pay?

andrew11 [14]

Answer:

She will pay $1,047.12 interest for one year

Step-by-step explanation:

Simple Interest

Occurs when interest is calculated on the original principal only.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance or loan

r = interest rate

t = time

Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:

$I=\$17,452*0.06 *1$

I = $1,047.12

She will pay $1,047.12 interest for one year

6 0

3 years ago

Your friend works as a salesman in a shop were she earns $200 a week. She is paid a commission of 5% of her sales. How much did

Jet001 [13]

4500/100 = 45 x 5 = $225

6 0

3 years ago

rectangle q has an area of 2 square units thea drew scaled version and labled it rectangle r what scale factor did thea use to g

alexgriva [62]

Answer:

It has been given that Rectangle Q has an area of 2 square units.

Thea Drew a scaled version of Rectangle Q and marked it as R.

As you must keep in mind If we draw scaled copy of pre-image, then the two images i.e Pre-image and Image are similar.

As you have not written what is the scale factor of transformation

Suppose , Let the Scale factor of transformation= k

Rectangle Q = Pre -image, Rectangle R= Image

If, Pre-Image < Image , then scale factor is k >1.

But If, Pre-Image > Image , then Scale factor will be i.e lies between, 0<k<1.

5 0

4 years ago