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Llana [10]
3 years ago
13

To find how high school students feel about hot lunches, Adam walks to the nearest high When a=6 and b=22, c=33. If c varies dir

ectly with b and inversely with a, which equation models the solution? to participate in the study
Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:The equation that models the solution will be

33 = 22k / 6

Step-by-step explanation:

The two types of variation involved in this problem are direct variation and inverse variation.

In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.

In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.

From the information given,

c varies directly with b

If we introduce a direct proportionality constant, k, then,

c = kb

c also varies inversely with a

If we introduce an inverse proportionality constant, k, then,

c = k/b

Therefore, c = kb / a

When a=6 , b=22 and c=33.

The equation that models the solution will be

33 = 22k / 6

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3/4(8x-4)=7x+2 This is a linear equation please help!
aleksandrvk [35]

Simplify the left hand side by multiplying the terms in the parenthesis by 3/4, i.e. divide them by 4 and multiply them by 3:

\dfrac{3}{4}(8x-4)=7x+2 \iff 3(2x-1)=7x+2 \iff 6x-3 = 7x+2

Subtract 6x from both sides:

-3=x+2

Subtract 2 to both sides:

x=-5

4 0
3 years ago
Read 2 more answers
Zachary and his children went into a grocery store and will buy bananas and peaches.
stealth61 [152]

Answer:

0.5b + 1.5p ≤ 8

Step-by-step explanation:

The inequality function is as follows:

Let us assume the number of bananas acquired be b

And, the number of peaches acquired be p

Cost of each banana be $0.50

ANd, the cost of each peach be $1.50

Also the total would be $8

The possible values of banana is 0.5b

And, for peaches it would be 1.5p

So, the inequality function is

0.5b + 1.5p ≤ 8

7 0
3 years ago
A class votes for their class President Kennedy receives 21 votes which is 6% of the vote what is the total number of students w
Katarina [22]

Answer:

21

Step-by-step explanation:

literally says it in the text ight

6 0
2 years ago
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I need the answer fast pls
Nataliya [291]

Answer:

C. 15

Step-by-step explanation:

You just need to add the number of dots, hoped this helped and was fast enough

8 0
3 years ago
Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this iso
abruzzese [7]

Complete Question

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a² + b² = c², which in this isosceles triangle becomes a² + a² = c². By combining like terms, 2a² = c². Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg?

a) substitute values for a and c into the original pythagorean theorem equation.

b) divide both sides of the equation by two, then determine the principal square root of both sides of the equation.

c) determine the principal square root of both sides of the equation.

d) divide both sides of the equation by 2.

Answer:

c) determine the principal square root of both sides of the equation.

Step-by-step explanation:

Pythagoras Theorem for a right angled triangles states that:

a²+ b²= c²

But for an Isosceles Triangle, where two sides of the triangle are equal, we have:

a²+ a² = c²

By combining like terms

2a² = c²

We square root both sides of the equation.

√2a² = √c

√2a² = c

The final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg = √2a² = c is Option c.

4 0
3 years ago
Read 2 more answers
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