Solve proportion 7x/5=42/3

Name a pair of complementary angles and a pair of supplementary angles

makkiz [27]

Answer:

Step-by-step explanation:

m<POQ + m<SOR = 90º. This makes these two angles complementary.

m<POQ + m<QOR + m<SOR = 180º. This is because the measure of a straight line is 180º.

hope this helps, reach out if you have more questions!

5 0

3 years ago

Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f

Papessa [141]

Answer:

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

3 0

2 years ago

Adam has created a register for the bank account he opened on April 16th. Unfortunately, Adam has made a mistake and cannot figu

sesenic [268]

Answer:

D. He recorded his paycheck amount for April 23rd incorrectly. Yes, this was Adam's mistake. The correct amount should be 341.60 and not 338.45.

Step-by-step explanation:

1. Let's review the information given to us to help Adam to determine where his error is.

A. He completely forgot to include the clothes he bought from Bargains RUS. No, he didn't. It was recorded properly, including the sales tax amount.

B. He made an arithmetic error in the balance column. No he didn't, the balance was calculated correctly after each transaction.

C. He recorded one of his withdrawals in the deposit column. No, he didn't. All of the withdrawals are in the right column.

D. He recorded his paycheck amount for April 23rd incorrectly. Yes, this was Adam's mistake. The correct amount should be 341.60 and not 338.45.

8 0

2 years ago

(WILL GIVE BRAINLIEST) What is the y-intercept of the line shown? 4 1 -4 -1

mel-nik [20]

I think -4 not fully sure‍♀️

3 0

3 years ago

Isabella save 2 nickels today, if she doubles the number of Nicole, she saves every day, how many days, including today, will it

Elden [556K]

Answer:

8 days

Step-by-step explanation:

On day 8, Isabella will save 256 nickels, bringing her total to 510.

_____

The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.

_____

The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.

__

The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...

an = a1·r^(n-1) = 2·2^(n-1) = 2^n

The sum of n terms of the sequence is ...

S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)

S = 2^(n+1) -2

__

We want S > 500, so ...

500 < 2^(n+1) -2

502 < 2^(n+1)

251 < 2^n

log(251) < n·log(2)

n > log(251)/log(2)

n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels

3 0

3 years ago