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Viefleur [7K]
3 years ago
8

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0
Test contains 10 three-point questions and 14 five-point questions.
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Which expression is equivalent to the given expression? 17x−32x A. x(32−17) B. 17(x−32) C. 17x(1−32) D. x(17−32)
Olegator [25]
D is correct
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if x is the first, or smallest, of three consecutive integers, express the sum of the integer and the third integer as an algebr
Scrat [10]

Consecutive numbers differ by one. So, if x is the first, the three numbers are

x,\ x+1,\ x+2

The sum of the first and third integer is

x+(x+2)=2x+2

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3 years ago
2. Solve x - 19 < 81​
vovikov84 [41]
The answer would be X =90
5 0
3 years ago
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The cost of, y, of a large pizza with x topping from pats pizzeria can be modeled by a linear function. A large pizza with no to
Firdavs [7]

Answer:

The cost would be 22.75

Step-by-step explanation:

To find the cost of each topping, we simply take the excess cost and divide it by the number of toppings. To find the excess cost, take the new cost and subtract the original cost.

17.50 - 14.00 = 3.50

Now divide that by the amount of toppings.

3.50/2 = 1.75

Now we can multiply the new number of toppings by that amount and add the cost of the pizza.

5(1.75) + 14.00

8.75 + 14.00

22.75

3 0
3 years ago
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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2
ivolga24 [154]

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?

5n = 3d and n - 2 = 2d - 4

5n = 3d and 2n - 4 = d - 2

3n = 5d and 2n - 4 = d - 2

Answer:

5n = 3d and 2n – 4 = d – 2

Solution:

Let n be the numerator of the fraction and d be the denominator of the fraction.

Given the numerator and denominator of a fraction are in the ratio of 3 to 5.

This can be written as n : d = 3 : 5.

⇒ \frac{n}{d}= \frac{3}{5} – – – – (1)

Do cross multiplication, we get

⇒ 5n = 3d

When the numerator and denominator are decreased by 2, the fraction is equal to \frac{1}{2}.

⇒ \frac{n-2}{d-2}= \frac{1}{2}

Do cross multiplication, we get

⇒ 2(n –2)=1(d – 2)

⇒ 2n – 4 = d – 2

Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.

6 0
3 years ago
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