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3 years ago

There are 45 questions on your math exam. You answered 8/10 of them correctly. How many questions did you answer correctly?

Mathematics

2 answers:

shepuryov [24]3 years ago

7 0

Answer:

Step by Step Explanation:

First, change the fraction to a percentage. Now you need to find 80% of 45. I use this setup here:

80/100 = x/45

To find x, or the number of questions you got correct, you will multiply 45 and 80.

45 x 80 = 3,600

You will then divide the product by the remaining number, which is 100.

3,600/100 = 36

x (questions you correctly answered) = 36

Other Way to Solve:

If that way of solving is too complicated, you can always do this:

8/10 x 45/1

8 x 45 = 360

10 x 1 = 10

360/10 = 36

liraira [26]3 years ago

4 0

Answer:

36 questions were correct.

Step-by-step explanation:

In order to find how many questions correct, you have to multiply it :

$\frac{8}{10} \times 45 = 36$

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Factor the polynomial. x3 - 4x2 - 6x + 24

ladessa [460]

If the 4x2 is actually 4x^2 then the answer is

-(4x+3x-24)

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3 years ago

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confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

The complete question is

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

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3 years ago

How do you write 75/11 as a continued fraction?

alex41 [277]

Answer:

6.818181...

Step-by-step explanation:

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3 years ago

(-4, 7), (-6,-4) find the slope of the line through each pair of points

HACTEHA [7]

Answer:

slope = 11/2

Step-by-step explanation:

If you are given two points, you can find the slope using the point-slope equation. The equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this form, "m" represents the slope, "x₁" and "y₁" represent the values from one point, and "x₂" and "y₂" represent the values from the other point. You can plug the values from the points into the equation and simplify to find the slope.

Point 1: (-4, 7) Point 2: (-6, -4)

x₁ = -4 x₂ = -6

y₁ = 7 y₂ = -4

y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form

7 - (-4) = m(-4 - (-6)) <----- Insert values

11 = m(2) <----- Simplify

11/2 = m <----- Divide both sides by 2

5 0

2 years ago

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A question on my test:

Andre45 [30]

Answer:

180degrees

Step-by-step explanation:

Given the expression cos^2x - cos x - 2 = 0

Let P = cos x

P^2 - P - 2 = 0

Factorize

P^2 - 2P + P - 2 =0

P(P-2)+1(P-2) = 0

P-2 = 0 and P + 1 = 0

P = 2 and P = -1

Since P = cos x

cos x = -1

x = arccos(-1)

x = 180degrees

Hence the require angle is 180degrees

8 0

3 years ago

There are 45 questions on your math exam. You answered 8/10 of them correctly. How many questions did you answer correctly?​

There are 45 questions on your math exam. You answered 8/10 of them correctly. How many questions did you answer correctly?