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3 years ago

Millie, Josh and Libby receive a bonus at work. They are paid in the ratio of 2 : 3 : 4.

1 answer:

4 0

Based on the problem above, the given values are as follows:
2:3:4 = Ratio of Millie, Josh and Libby's bonus
£105=Josh's share of the bonus
?=total amount of the bonus they shared.
In order to get this, we need to solve for Millie's and Libby's bonuses.
So to get Millie's share:
we do this.
2/3 : x/105. Cross multiply and divide and we get x=70. Therefore, Millie's share is  £70.
Next is Libby's:
3/4 : 105/y. Cross multiply and divide and we get y=140. Therefore, Libby's share is  £140.
Now, add up everything and we get  £315. So the total amount of the bonus before they shared it is  £315.

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Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho

OLEGan [10]

Answer:

pair of jeans = 21

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

Equation 1: 5x + 2y = 166

3 pair of jeans and 4 shirts for $164. This means:

2x + 4y = 164

Dividing both sides by 2, we get:

Equation 2: x + 2y = 82

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0

3 years ago

Explain why points and lines may be coplaner even when the plane containing them is not drawn. Give Examples.

skad [1K]

Answer:

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner (2-dimensional) triangle shape

Step-by-step explanation:

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3 years ago

The floor of the entryway to an office building will be tranglar. Twi angles will measure 40 and the side between them will have

Hoochie [10]

Answer:

Step-by-step explanation:n

4 0

3 years ago

The world's population is expected to grow at a rate of 1.3% per year until at least the year 2020. In 1994 the total population

Marina CMI [18]

The solution to your problem is as follows:

Given:
P₀ = 5,642×10^6 people,
i = 1.3% = 0.013 per year,
n = 2020 - 1994 = 26 years,

We get:

Pn = P₀ e^(i.n) 
. . .= 5,642×10^6×e^(0.013×26)
. . .= 7,911×10^6 people

Therefore, the the world's predicted population in the year 2020 is 7,911×10^6 people.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0

3 years ago

Can yall please help me ¿Pueden ayudarme por favor?

juin [17]

Answer:

136/2 = 68

Step-by-step explanation:

8 x 8 = 64 and

12 x 6 = 72

72 + 64 = 136

7 0

3 years ago

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