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Darya [45]
3 years ago
5

Write an equation for the number of points, y Enrique scores on the test when he answers x questions correctly.

Mathematics
2 answers:
kramer3 years ago
5 0
<span><u><em>Answer:</em></u>
1. 3x = y
2. 7x= y.
<span>
<u><em>Explanation:</em></u>
If x is the amount of points each question that is answered correctly received then the coefficient that x is multiplied by will be the amount for each test.

For the first equation we have 3 as the amount answered correctly time x the points each one is worth = total points y.

For the second equation we have 7 as the amount answered correctly time x the points each one is worth = total points y .


</span></span>
Blizzard [7]3 years ago
5 0

Answer with explanation:

→For, x correct answer number of points scored = y

For ,1 correct answer number of points scored=\frac{y}{x}

→The statement about the problem is

On his first geography test, Enrique answered 3 questions correctly. On his second test, Enrique answered 7 questions correctly.

Writing the statement in terms of equation

In First test

For, three correct answer number of points scored ,=\frac{3 y}{x}

As, it is given that number of correct answers is 3, and number of question is x, so total number of incorrect answer will be = x-3,

For, incorrect answer points scored will be =0

In Second test

For, seven correct answer number of points scored ,=\frac{7 y}{x}

As, it is given that number of correct answers is 7, and number of question is x, so total number of incorrect answer will be = x-7,

For, incorrect answer points scored will be =0

So, transforming the statement in terms of equation

Total number of points

   \frac{3y}{x}+\frac{7y}{x}=\frac{10y}{x}

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For the number -5/8 name the opposite, reciprocal and absolute value
Natasha_Volkova [10]
Opposite-   5/8
reciprocal-   -8/5
absolute value-   5/8

8 0
3 years ago
Work out the lengh of RS <br> gue your answer to 3 significant figures
atroni [7]

Answer:

RS ≈ 5.83 units

Step-by-step explanation:

Calculate RS using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)

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

     = \sqrt{5^2+3^2}

     = \sqrt{25+9}

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8 0
3 years ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
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4vir4ik [10]

The price of of the hotdog to the price of popcorn is in the ratio 5:4

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7 0
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Answer:31.42

Step-by-step explanation:

8 0
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