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Nataly_w [17]
3 years ago
5

An adult's dinner costs $7. A family of 2 adult's and 2 children pays $22 for their dinners. How many does a child's dinner cost

?
Mathematics
1 answer:
bonufazy [111]3 years ago
8 0

Answer:

A child's dinner costs $4

Step-by-step explanation:

7 + 7 = 14

22 - 14 = 8

8 / 2 = 4

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Segment BD is an altitude of triangle ABC. Find the area of the triangle.
Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

First, we find BD, where B(-1,4) and D(2,4).

BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

A=\frac{1}{2}\times {\text{base}}\times {\text{height}}

A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

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Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.
Alja [10]

Answer:

y=\frac{96}{x}

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: xy=c. This means that the function can be defined as y=\frac{c}{x} by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:  xy = 96, which can be defined as y=\frac{96}{x}

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algol13

Answer:

50%

Step-by-step explanation:

50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50%. Hope this helps <3

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