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3 years ago

Shannon and courtney share £42 into the ratio 3:4 . how much money do they each recieve?

Mathematics

2 answers:

vivado [14]3 years ago

5 0

Answer:

Total ratio = 3+4 = 7

Shannon's share = 3/7 × 42 = £18

Courtney's share = 4/7 × 42 = £ 24

Hope this helps.

Vlad [161]3 years ago

3 0

Answer:

Shannon gets £18 and Courtney gets £24

Step-by-step explanation:

Total Money = £42

Ratio = 3:4

Total Parts = 3+4 = 7

Shannon:

=> $\frac{3}{7} * 42$

=> 3*6

=> £ 18

Courtney:

=> $\frac{4}{7} *42$

=> 4*6

=> £24

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The spokes of a bicycle wheel form 10 congruent central angles. The diameter of the circle formed by the outer edge of the wheel

Yuki888 [10]

Answer:

$5.6$ inches.

Step-by-step explanation:

The length of the outer edge of the wheel between two consecutive spokes is given by;

$l=d\sin(\frac{\theta}{2} )$

where d=18 inches.

and

$\theta=\frac{360\degree}{10}=36\degree$ is the central angle.

We substitute the values to obtain;

$l=18\sin(\frac{36\degree}{2})$

$l=18\sin(18\degree)$

$l=5.562305899$

$l=5.6$ inches to the nearest tenth.

8 0

4 years ago

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andrey2020 [161]

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3 years ago

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Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Me. Molina

Dennis_Churaev [7]

The package weighs 30 ounces.

Step-by-step explanation:

Mailbox Plus charges;

Charges per ounce = $0.25

Let,

x be the number of ounces.

M(x)=5+0.25x

United packges charges;

Charges per ounce = $0.35

U(x) = 2+0.35x

Cost will be same when the functions are equal;

M(x) = U(x)

$5+0.25x=2+0.35x\\5-2=0.35x-0.25x\\3=0.10x\\0.10x=3\\$

Dividing both sides by 0.10

$\frac{0.10x}{0.10}=\frac{3}{0.10}\\x=30$

The package weighs 30 ounces.

Keywords: functions, division

Learn more about division at:

#LearnwithBrainly

6 0

3 years ago

A set of data has 50 observations. How many classes would you recommend?

nignag [31]

Answer:

6 classes

Step-by-step explanation:

If k is the number of classes and n is the number of observations, then for number of classes we should select the smallest k such that 2^k > n.

We have n = 50 and:

2^5 = 32 < 50
2^6 = 64 > 50

As per above described 2 to k rule, we are taking k = 6.

So 6 classes should be used.

6 0

3 years ago

Find the measure of the angle indicated in bold.

stepan [7]

Answer:

110 degrees

Step-by-step explanation:

The 23x + 1 angle is supplementary (adds to 180) to 36x + 2 so that means

23x + 1 + 36x + 2 = 180

Which in turn means : x = 3

Which then means : Bold angle = 36 * 3 + 2 = 110

7 0

3 years ago