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Nady [450]
3 years ago
14

Divide £72 into the ratio 4 : 5.

Mathematics
1 answer:
algol133 years ago
4 0

Answer:

£32 : £40

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£72 ÷ 9 = £8 ← value of 1 part of the ratio, then

4 parts = 4 × £8 = £32

5 parts = 5 × £8 = £40

Then

£72 in the ratio 4 : 5 is £32 : £40

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Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after sc
artcher [175]

Answer:

y = 15x+32

Step-by-step explanation:

Given

y to be the total minutes Andrew will play video games today

x is the total number of games played after school

If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes

We are told that he has initially spent 32minutes on video games. hence;

Total minutes Andrew used on games y = (15*x)+32

The required equation will be y = 15x+32

7 0
3 years ago
Find the area of the shape. assume all angles are right angles
Afina-wow [57]

Answer:

Option C. 72\ yd^{2}

Step-by-step explanation:

we know that

The area of the shape is equal to the area of the complete rectangle minus the area of the inside square

so

A=(12)(9)-6^{2} =72\ yd^{2}

3 0
3 years ago
A company recently downsized its number of employees by 30​%. If there are still 70 ​employees, how many employees were there pr
wolverine [178]
Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

7,000 divided by 70 gives us 100.

x = 100

Now, we can plug our answer in to see if it makes sense.

Does 70/100 represent 70%?

Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.

Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.
7 0
1 year ago
It costs $4.25 to buy 3/4 lb of sour belts.
Klio2033 [76]

Answer:

  • None of the above.

Step-by-step explanation:

<u>Given equation:</u>

  • 4.25 * 3.5

<u>The cost of 3.5 lb of sour belts:</u>

  • $14.875.

<u>Simplify:</u>

  • 14 7/8
6 0
2 years ago
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −10 to x = 10.
igor_vitrenko [27]
The average rate of change formula is 
           f(b) - f(a)
arc = ----------------
               b-a
                    
Here, a= -10 and b = 10

                   (10)^2 + 9(10) + 18 - [ (-10)^2 + 9(-10) + 18]
Here arc = --------------------------------------------------------------
                                     10 - (-10)

10^2 and -(-10)^2 cancel.     18 - 18 cancel.

                                               90 - (-90)            180
This leaves us with     arc = ----------------- = ------------- = 9 (answer)
                                                   20                     20
7 0
3 years ago
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