Mathematics Middle School

HELPPPPPP: Roberto wants to buy a $40 gift for his father. He finished one odd job in 4 hrs at $3.75 an hour. He us now working at a job which pays $4.00 an hour. How many hours does he need to work in order to earn the money that he needs?

Answers

Answer 1

Answer:

7 hours

Step-by-step explanation:

He already worked 4 hrs at $3.75 an hour.

Meaning he has already accumulated 15 dollars. (4 * 3.75)

$40 - $15 = $25

So if he needs $25 and he makes $4 dollars an hour:

25/4 = 6.25

He needs to work at least 7 full hours to receive 25 dollars to add with the already earned 15 dollars to total 40 dollars.

Answer 2

Answer: 6.25 hours

Step-by-step explanation:

Step 1: find how much he earned from the odd job

3.75 per hour for 4 hours= 3.75x4= $15

Step 2: Write an inequality

4x+15≥40

Breaking it down:

'4x' means $4 per hour for an unknown number of hours, or just "a number of hours". The reason why you put the x next to the number is because to find the total amount of money he made from that job, you'll have to multiply 4 by however many hours he worked.

15 stands for the amount of money he has right now. He finished the job that paid 3.75 an hour, so don't put an x next to the 15.

40 is the amount of money he needs.

the ≥ sign means "greater than or equal to". In other words, to be able to buy the gift, he needs 40 or more dollars. The line underneath means "greater/less than or equal to". Also, the reason why I didn't put the normal greater sign that looks like >, is beacause that would be saying he needs MORE than 40 dollars to buy the gift, which is not a true statment.

Step 2: Solve the inequality

Solving an inequality is no different from solving an algebra equation. You just ignore the ≥ sign.

4x+15≥40

#1: Always do the inverse operation on the left side number first, never the x term. In other words, always start with addition or subtraction:

See how there is a +15. do the operate equation by subtracting 15 from both sides.

4x+15-15 ≥ 40-15

4x≥25

Now divide both sides by 4. This is because 4x stands for "4 multiplied by x" and the opposite of multiplication is division.

4x/4 ≥ 25/4

x≥6.25

Step 4: Checks

Substitute x for 6.25, but write it as en equation.

4x+15=40

4x6.25 +15 = 40

25+15= 40

40=40

Correct ✅

Answer= He needs to work 6.25, or 6 1/4, or 6 hours and 25 minutes, in order to have enough money for the gift.

Related Questions

Can someone help me answer this?
50 points if answered

Will give Brainliest if you explain how you got the answer

Answers

Answer:

D. 1/3

Explanation:

[tex]\sf A : \dfrac{2}{9}[/tex]

[tex]\sf C : \dfrac{7}{18}[/tex]

Calculate distance between A and C

[tex]\Longrightarrow \sf \dfrac{7}{18} - \dfrac{2}{9} = \dfrac{1}{6}[/tex]

There are 6 intervals between A to C

[tex]\sf \Longrightarrow each \ interval : \dfrac{1}{6} \div 6 = \dfrac{1}{36}[/tex]

Point B mark from A, there are 4 intervals:

[tex]\sf \Longrightarrow \dfrac{2}{9} + 4 \times \dfrac{1}{36} = \dfrac{1}{3}[/tex]

Or, Point B mark from C, there are 2 intervals:

[tex]\sf \Longrightarrow \dfrac{7}{18} - 2 \times \dfrac{1}{36} =\dfrac{1}{3}[/tex]

It’s D because it’s closest to 1/3 interval points

7.30. Julie wants to give a 45 -minute speech, and she speaks 120 words per minute. Her written notes contain 500 words per page. How many pages should she prepare?

Answers

Answer:

10.8 pages must be prepared

Step-by-step explanation:

We first have to figure out how many words Julie would be able to say in 45 minutes. Since she can say 120 words per minute, she can speak 120*45 or 5400 words total.

We also know that Julie can write 500 words per page. Since she has 5400 words total, she needs to prepare 10.8 pages total (5400 divided by 500). If you are looking for a whole number answer, Julie needs at least 11 pages to write her complete speech.

Answer:

The number of pages she should prepare is 10.8 pages.

Step-by-step explanation:

Given:

Julie wants to give a 45 -minute speech, and she speaks 120 words per minute.

Her written notes contain 500 words per page.

Find:

The number of pages she should prepare

Step 1 of 1

We will set up a conversion factor:

number of pages [tex]=(45$ minutes $) \cdot \frac{120 \text { words }}{1 \text { minutes }} \cdot \frac{1 \text { pages }}{500 \text { words }}$[/tex]

[tex]$$\begin{aligned}&=\frac{45 \cdot 120}{500} \text { pages } \\&=10.8 \text { pages. }\end{aligned}$$[/tex]

1.Is 4/5 equivalent to 32/45?

2.Is 7/8 equivalent to 28/32?

3.Is 1/10 equivalent to 30/100?

4.Is 6/8 equivalent to 24/32?

5.Is 5/8 equivalent to 30/70?

6.Is 2/3 equivalent to 24/100?

7.Is 2/10 equivalent to 30/60?

8.Is 1/5 equivalent to 20/100?

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Answers

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.