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Vladimir79 [104]
3 years ago
10

The Healey family drove 192 miles in 4.5 hours. How many miles could they drive at this rate in 3 hours? A-64 miles

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

192 miles D

------------- = ----------

4.5 hours 3 hours

I did 192 x 3=576

and then:

576/ 4.5=128

Hope this helps!

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Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books
Oksi-84 [34.3K]

Answer:  The correct option is (A) 120-3w=24;~32.

Step-by-step explanation:  Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.

We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.

Also, we are to find the number of weeks.

The number of weeks  it will take Raymond to have only 24 books left is represented by 'w'.

We have

number of books read by Raymond is 1 week = 3.

So, number of books read by Raymond is w weeks = 3w.

Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be

120-3w.

According to the given information, we get

120-3w=24\\\\\Rightarrow 3w=120-24\\\\\Rightarrow 3w=96\\\\\Rightarrow w=32.

thus, the required equation is 120-3w=24 and number of weeks is 32.

Option (A) is correct.

8 0
2 years ago
Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


5 0
3 years ago
Which of the following correctly shows the distributive property?
exis [7]
D
4(x+5) = (4)(x)+(4)(5)
6 0
3 years ago
The authors of both passages agree that King’s "I Have
Norma-Jean [14]

The authors of both passages agree that King’s "I Have a Dream" speech: had a profound impact on many Americans (Option C).

<h3>What is a comprehension passage?</h3>

In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.

Now,

  • Both the given passages use adjectives like 'magnificent' and 'famous' with respect to Martin Luther King's "I Have a Dream Speech".
  • The first passage claims, "Many people can still remember the first time they heard I Have a Dream, and they tend to speak of that memory with the reverence reserved for a religious experience."
  • While the second concurs with, "For most Americans, those words capture Kings unique genius. They express his immortal longing for freedom, a longing that is familiar to every person who dares imagine a future beyond unjust laws and unfair customs. The edifying universality of those four words who hasn't dreamed, and who cannot identify with people whose dreams of a better world are punished with violence helps to explain their durability."
  • In this context, we can deduce that King's I Had A Dream Speech had a profound impact on Americans, i.e., option C is correct.

To learn more about comprehension passages, refer to the link:

brainly.com/question/24716030

#SPJ4

3 0
1 year ago
Pls help guys ur my only hope pls i need a good grade pls help plssssssss
juin [17]

Answer: The answer is B, 6 1/2

Step-by-step explanation:

6+5= 11

1/2+1/2= 1

11+1= 12

12-3=9

7 0
2 years ago
Read 2 more answers
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