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Goryan [66]
3 years ago
14

When a number is doubled and then three is added, the result is 51. Write an equation, then solve to find the number. Show your

work
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer :

Equation :

2y + 3 = 51

Solving :

• 2y + 3 = 51

• 2y = 51 - 3

• 51 - 3 = 48

• 2y = 48

• y = 48 ÷ 2

• 48 ÷ 2 = 24

• so , y = 24

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What is the force required to move a 2,000 kg car with an acceleration of 2 m/s/s?
Airida [17]

We know that According to Newton's Second Law that :

Force acting on an object is equal to the Mass of that Object multiplied by the Acceleration of that Object.

Given Mass of the Car as : 2000 kg

Acceleration of the Car as : 2 m/s²

Force required to move the Car = 2000 × 2 = 4000 Newton

6 0
3 years ago
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The course grade in a statistics class is the average of the scores on five examinations. Suppose that a student's scores on the
nadya68 [22]

Answer:

84 is the highest possible course average

Step-by-step explanation:

Total number of examinations = 5

Average = sum of scores in each examination/total number of examinations

Let the score for the last examination be x.

Average = (66+78+94+83+x)/5 = y

5y = 321+x

x = 5y -321

If y = 6, x = 5×6 -321 =-291.the student cannot score -291

If y = 80, x = 5×80 -321 =79.he can still score higher

If If y = 84, x = 5×84 -321 =99.This would be the highest possible course average after the last examination.

If y= 100

The average cannot be 100 as student cannot score 179(maximum score is 100)

8 0
3 years ago
A quiz-show contestant is presented with two questions, question 1 and question 2, and she can choose which question to answer f
Mrrafil [7]

Answer:

The contestant should try and answer question 2 first to maximize the expected reward.

Step-by-step explanation:

Let the probability of getting question 1 right = P(A) = 0.60

Probability of not getting question 1 = P(A') = 1 - P(A) = 1 - 0.60 = 0.40

Let the probability of getting question 2 right be = P(B) = 0.80

Probability of not getting question 2 = P(B') = 1 - P(B) = 1 - 0.80 = 0.20

To obtain the better option using the expected value method.

E(X) = Σ xᵢpᵢ

where pᵢ = each probability.

xᵢ = cash reward for each probability.

There are two ways to go about this.

Approach 1

If the contestant attempts question 1 first.

The possible probabilities include

1) The contestant misses the question 1 and cannot answer question 2 = P(A') = 0.40; cash reward associated = $0

2) The contestant gets the question 1 and misses question 2 = P(A n B') = P(A) × P(B') = 0.6 × 0.2 = 0.12; cash reward associated with this probability = $200

3) The contestant gets the question 1 and gets the question 2 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.4×0) + (0.12×200) + (0.48×300) = $168

Approach 2

If the contestant attempts question 2 first.

The possible probabilities include

1) The contestant misses the question 2 and cannot answer question 1 = P(B') = 0.20; cash reward associated = $0

2) The contestant gets the question 2 and misses question 1 = P(A' n B) = P(A') × P(B) = 0.4 × 0.8 = 0.32; cash reward associated with this probability = $100

3) The contestant gets the question 2 and gets the question 1 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.2×0) + (0.32×100) + (0.48×300) = $176

Approach 2 is the better approach to follow as it has a higher expected reward.

The contestant should try and answer question 2 first to maximize the expected reward.

Hope this helps!!!

3 0
3 years ago
Need help graphing!!!!!!!!!!!!!!!!!!!!!!!!
Fiesta28 [93]

Step-by-step explanation:

plot the points

0,0

1,3

2,6

3,9

if anything else is needed inform me.

4 0
2 years ago
What is the measure of ZRVE?<br> 60°<br> 7<br> 8<br> mer<br> R
luda_lava [24]

Answer:

45 degrees

Step-by-step explanation:

180 - 60 - 75 = 45

Angle RVE is the same as angle LVA

3 0
3 years ago
Read 2 more answers
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