MATHEMATICS COLLEGE

Zoe walks 4 kilometers and 600 meters, Elijah runs 3 times as far as Zoe walks. Anthony rides his bike 700 meters farthwr than Elijah runs, how far does Anthony ride in meters?

Answers

Answer 1

Answer:

Answer:

14,500 m

Step-by-step explanation:

1 km is 1000 m, so 4 km = 4000 m.

Zoe walks 4000 +600 = 4600 m.

Elijah runs 3(4600 m) = 13,800 m.

Anthony rides 700 m farther, so rides ...

13,800 m +700 m = 14,500 m

Anthony rides 14,500 meters.

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What is the quotient of 10?

Answers

A quotient is the result of dividing one number by another. For example, the quotient of 6 and 3 equals 6/3 or 2. In your problem above it is asking you to provide the quotient of 10 and 2 meaning you divide the 2 into the ten and end up with 10/2 or 5.

So I think the answer is 10/2 or 5

Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Select an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated. According to the Current Population Survey, P(A)=0.138, P(B)=0.261, and the probability that a household is both prosperous and educated is P(A and B)=0.082. What is the probability P(A or B) that the household selected is either prosperous or educated?

Answers

Answer: 0.317

Step-by-step explanation:

Let A be the event that the selected household is prosperous and B the event that it is educated.

Given : P(A)=0.138, P(B)=0.261

P(A and B)=0.082

We know that for any events M and N ,

$\text{P(M or N)=P(M)+P(N)-P(M or N)}$

Thus , $\text{P(A or B)=P(A)+P(B)-P(A or B)}$

$\text{P(A or B)}=0.138+0.261-0.082\n\n\Rightarrow\text{ P(A or B)}=0.317$

Hence, the probability P(A or B) that the household selected is either prosperous or educated = 0.317

What value of x makes the equation 3(x−6)−8x=−2+5(2x+1) true?

Answers

Answer:

$3(x - 6) - 8x = - 2 + 5(2x + 1) \n 3x - 18 - 8x + 2 - 10x - 5 = 0 \n = > - 15x - 21 = 0 = > - 15x = 21 = > x = - (7)/(5)$

What is the equation for this graph? Use y=mx+b

Answers

Answer:

The equation is y=2x+1.

Step-by-step explanation:

The y intercept is 1 and the slope is 2.

D(n)=8−6(n−1) What’s the 6th term

Answers

D(n)=8−6(n−1). The 6th term is found by subbing 6 for n in this formula:

D(6)=8−6(6−1) = 8 - 6(5) = 8 - 30 = -22 (answer)

What is (7p + 6) - (9p - 7)?

Answers

Answer:

-2p +13

Step-by-step explanation:

(7p + 6) - (9p - 7)

Distribute the minus sign

(7p + 6) - 9p + 7

Combine like terms

7p -9p +6 +7

-2p +13

Answer:

-2p + 13

Step-by-step explanation:

Distribute the -1 to (9p - 7):

7p + 6 - 9p + 7

Add like terms (7p and -9p, 6 and 7):

-2p + 13

Other Questions

Sara needs 40 inches of yarn to glue onto each of 25 picture frames. She has a ball of yarn with a total of 950 inches. Which of the following explains whether Sara has enough yarn to glue onto all 25 picture frames?A. Because 950 ÷ 40 = 24 R10, she has enough yarn for all 25 picture frames.B. Because 950 ÷ 40 = 24 R10, she has enough yarn for only 24 picture frames.C. Because 950 ÷ 40 = 23 R30, she has enough yarn for only 23 picture frames.D. Because 950 ÷ 40 = 23 R30, she has enough yarn for only 24 picture frames.

Students are asked to memorize a list of 100 words. The students are given periodic quizzes to see how many words they have memorized. The function L gives the number of words memorized at time t. The rate of change of the number of words memorized is proportional to the number of words left to be memorized. 1. Which of the following differential equations could be used to model this situation, where k is a positive constant?A. dL/dt = kLB. dL/dt = 100 - kLC. dL/dt = k(100 - L)D. dL/dt = kL - 100

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