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4 years ago

Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?

Mathematics

1 answer:

Alinara [238K]4 years ago

5 0

Answer:

Gordon gets 16£, Henry gets 24£ and Sarah gets 8£

Step-by-step explanation:

Let the ratio be 2x + 3x + 1x

Total amount = £48

So;

2x + 3x + x = 48

6x = 48

x = 48 / 6

x = 8

Now

2x = 16

3x = 24

x = 8

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If it takes a planet 5 years to orbit the Sun, how long (in years) will it take the planet to go all the

Mazyrski [523]

Answer:

230 million years

Step-by-step explanation:

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4 years ago

Read 2 more answers

can someone please help and explain to me on how to do this geometry question please?! Thank youuuuu!!! ❤

qaws [65]

There are 13 angles.
We know that $m\angle4=112$ and $m\angle12=105$ (11 angles)

1.

$m\angle2+m\angle3+m\angle4=180\qquad\qquad\text{linear angles}\\\\m\angle3+m\angle3+m\angle4=180\qquad\qquad m\angle2=m\angle3\\\\2m\angle3+m\angle4=180\\\\2m\angle3+112=180\\\\2m\angle3=180-112\\\\2m\angle3=68\quad|:2\\\\\boxed{m\angle3=34=m\angle2}$

(9 angles)

2.

$m\angle3+m\angle12+m\angle11=180\qquad\qquad\text{triangle}\\\\34+105+m\angle11=180\\\\139+m\angle11=180\\\\m\angle11=180-139\\\\\boxed{m\angle11=41}$

(8 angles)

3.

$m\angle12+m\angle13=180\qquad\qquad\text{linear angles}\\\\105+m\angle13=180\\\\m\angle13=180-105\\\\\boxed{m\angle 13=75}$

(7 angles)

4.

$m\angle1+m\angle2+m\angle13=180\qquad\qquad\text{triangle}\\\\m\angle1+34+75=180\\\\m\angle1+109=180\\\\m\angle1=180-109\\\\\boxed{m\angle1=71}$

(6 angles)

5.

$m\angle9=m\angle11\qquad\qquad\text{vertical angles}\\\\\boxed{m\angle9=41}$

(5 angles)

6.

$m\angle10+m\angle11=180\qquad\qquad\text{linear angles}\\\\m\angle10+41=180\\\\m\angle10=180-41\\\\\boxed{m\angle10=139}$

(4 angles)

7. $a||b\text{ and } c||d$ so we have a parallelogram.

$m\angle4+m\angle5=180\qquad\text{consecutive angles are supplementary}\\\\112+m\angle5=180\\\\m\angle5=180-112\\\\\boxed{m\angle5=68}$

(3 angles)

$m\angle8=m\angle5\qquad\qquad\text{opposite angels are congruent}\\\\\boxed{m\angle8=68}$

(2 angles)

8.

$m\angle7+m\angle8+m\angle9=180\qquad\qquad\text{triangle}\\\\m\angle7+68+41=180\\\\m\angle7+109=180\\\\m\angle7=180-109\\\\\boxed{m\angle7=71}$

(1 angle)

9.

$m\angle1+m\angle5+m\angle6=180\qquad\qquad\text{triangle}\\\\71+68+m\angle6=180\\\\139+m\angle6=180\\\\m\angle6=180-139\\\\\boxed{m\angle6=41}$

6 0

3 years ago

Felix earns $450 per week plus 3% of sales over $4800. Felix’s sales are $53000. How much does Felix earn?

Leni [432]

1. Felix’s sales are $53000. He has 3% of sales over $4800, then he has 3% of sales $(53000-4800)=$48200.

Now

$48200 -- 100%

$x -- 3%.

Write a proportion:

$\dfrac{48200}{x}=\dfrac{100}{3},\\ \\x=\dfrac{48200\cdot 3}{100}=482\cdot 3=1446.$

Thus, he additionally gets $1446.

2. If he earns $450 per week and earns $1446 of sales, then Felix earns

$450+$1446=$1896.

Answer: correct choice is A

5 0

3 years ago

Find the L.C.M of 6,12,18<br><br>

Rashid [163]

The least common multiple is 36.

6x6= 36
12x3=36
18x2=36

3 0

3 years ago

CAN YOU HELP WITH THIS ONE QUESTION , JUST TRYING TO GET BACK ON HONOR ROLL !

Ivanshal [37]

Answer:

B. TRUE.

(3, 2) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

Step-by-step explanation:

Option B is TRUE because intersection point should satisfy both the equation

and in option be it comes true.

i.e x = 3 and y = 2 we have

3 + 2 = 5 and 3 - 2 = 1

5 = 5 and 1 = 1

Hence TRUE

(3, 2) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 3 and y = 2 we have

3×3 + 2×2 = 5 and 3×3 - 2×2 = 1

13 ≠ 5 and 5 ≠ 1

Hence FALSE

(5, 1) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 5 and y = 1 we have

3×5 + 2×3 = 5 and 3×5 - 2×3 = 1

21 ≠ 5 and 9 ≠ 1

Hence FALSE

(5, 1) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

i.e x = 5 and y = 1 we have

5 + 1 = 5 and 5 - 1 = 1

6 ≠ 5 and 4 ≠ 1

Hence FALSE

6 0

3 years ago