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GrogVix [38]
3 years ago
7

Megan's dog Sparky eats 4 1/4 cups of food each day explain how Megan can determine how much food to give Sparky if she needs to

feed him only two-thirds as much
Mathematics
1 answer:
olga_2 [115]3 years ago
6 0
To determine the new amount you need to find out what 2/3 of 4 1/2 is equal to. What you see "of" in an algebraic expression or equation, replace it with (×).

2/3 of 4 1/2 =
2/3 × 4 1/2 =

Convert 4 1/2 to an improper fraction.

2/3 × 9/2 =

Now multiply and reduce

18/6 = 3

The new amount of dog food is 3 cups.
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Five tenths is forty-five hundredths greater than 5 hundredths
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3 years ago
the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
wel

Answer:

\sqrt{14}

Step-by-step explanation:

In any square with side length s, the diagonal of the square is equal to s\sqrt{2}. Since the side length of this square is \sqrt{7}, the diagonal is equal to \sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}.

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

In this question, both legs are equal to \sqrt{7}, and we're solving for the diagonal, which is the hypotenuse in this case:

\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}

4 0
3 years ago
7 pairs of stockings cost as much as 3 T-shirts, and a trousers as much as 1 T-shirt and 2 pairs of stockings. How many trousers
netineya [11]

Answer:

number of trousers=14

numbers of pairs of stockings=71

Step-by-step explanation:

Pairs of stockings: x

T shirt: y

Trouseres: z

7x=3y

1z=1y+2×

__________________________________________

m: number of trousers

m*z=26y

m*(y+2x)=26y

m*(y+2(3y/7))=26y

m=26y/(y+2(3y/7))

m=14

You need to buy 14 trousers that represents the equivalent of 26 T-shirts.

__________________________________________

k:pairs of stockings

k*x=10y+11z

k*x=10(7x/3)+11(y+2x)

k*x=10(7x/3)+11((7x/3)+2x)

k=71

You need to buy 71 pairs of stockings with an amount equal to the price of 10 T-shirts and 11 trousers

3 0
2 years ago
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4 I THINK is the answer not 100% sure though
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3 years ago
Plz help me with this?!?! I will mark you brainliest!!!
stellarik [79]

Answer: 36

Step-by-step explanation:

3 0
3 years ago
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