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fgiga [73]
2 years ago
6

Share £900 in the ratio of 3:7

Mathematics
1 answer:
velikii [3]2 years ago
6 0

Sharing £900 in the ratio of 3:7 is equal to £270 and £630.

<u>Given the following data:</u>

  • Total amount = £900.
  • Ratio = 3:7
  • Sum of ratio = 3+7 = 10.

To share £900 in the ratio of 3:7​:

<h3>How to calculate a ratio.</h3>

In this exercise, you're required to share the total amount of money in the ratio of 3:7. Thus, we would solve as follows:

<u>For a </u><u>ratio</u><u> of </u><u>3</u><u>:</u>

Amount=\frac{3}{10} \times 900\\\\Amount=\frac{2700}{10}

Amount = £270.

<u>For a </u><u>ratio</u><u> of </u><u>7</u><u>:</u>

Amount=\frac{7}{10} \times 900\\\\Amount=\frac{6300}{10}

Amount = £630.

Read more on ratio here: brainly.com/question/13513438

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Use distribute property and simplify<br> Help me please​
stellarik [79]

Answer:

104

155

180

Step-by-step explanation:

an easy way is to solve what is in the parenthesis then multiply by the outside number

but if you need to use the distributive property:

1. 4 x (20 - -6)

(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104

2. -5 x (24 - -7)

(-5 x 24) - (-5 x -7) = -120 - 35 = 155

3. 12 x (-30 + 45)

(12 x -30) + (12 x 45) = -360 + 540 = 180

5 0
3 years ago
Read 2 more answers
Can someone help me?
Oxana [17]

Answer:

Step-by-step explanation:

To start calculating, we first need to make some proof.

Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.

Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:

∠BED=∠CFD

∠DBE=∠DCF

To make it easier to visualize which are the corresponding vertexes, we can draw them like this:

And we need to remember that BC is 24, so:

BD+CD=24

Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:

r=\frac{CF}{DE} =\frac{7.5}{4.5} =\frac{5}{3}

This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:

r=\frac{CD}{BD} =\frac{5}{3}\\&#10; \frac{BD}{CD}=\frac{3}{5}  \\\\&#10;BD=\frac{3}{5} Cd

Thus, the measure of CF is approximately 13, alternative D.

3 0
3 years ago
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
olasank [31]

Answer:

See below.

Step-by-step explanation:

"Part A:

(1,5.5)

(2,5)

(3,4.5)

(4,4)

(5,3.5)

(6,3)

Every hour (x value) I subtracted 0.5 from the candle height (y value) since it burns at 0.5 inches per hour.

Part B:

Yes, this is a function because there is a constant relationship between the input and the output.

Part C:

Yes, this will continue to be a function because there is still a constant relationship, even though its different than the first one.

(1,5.7)

(2,5.4)

(3,5.1) ect."

Answer is also here:

brainly.com/question/2872549?referrer=searchResults

-hope it helps

6 0
2 years ago
Please show your work and I will make you brainliest ​
klio [65]

Answer:

17. y=1/2x+5

18. y=-2x+15

19. y=2x-7

Step-by-step explanation:

Number 17.

(4,7); parallel to y=1/2x-1

You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.

1. Use the point-slope formula to solve for the slope-intercept equation.

y-y1=m(x-x1)

m= 1/2

x= 4

y= 7

y-7= 1/2(x-4)

y-7= 1/2x-2

y=1/2x+5

Number 18.

(4,7); perpendicular to y=1/2x-1

You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.

1. Use the point-slope formula to solve for the slope-intercept equation.

y-y1=m(x-x1)

m= -2

x= 4

y= 7

y-7=-2(x-4)

y-7=-2x+8

y=-2x+15

Number 19.

f(3)=-1

f(4)=1

To write a linear equation, first find the slope with the slope formula.

x1= 3

y1= -1

x2= 4

y2=1

(y2-y1)/(x2-x1)

(1-(-1))/(4-3)

2/1

m=2

Use the point-slope formula and solve for the slope-intercept equation.

y-y1=m(x-x1)

y-1=2(x-4)

y-1=2x-8

y=2x-7

6 0
3 years ago
Paul is required to take 2 teaspoons of cough medicine 3 times a day. How many milliliters of cough medicine should Paul take in
Readme [11.4K]

Answer:

he should take 29.4 mL a day

Step-by-step explanation:

6 0
3 years ago
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