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jarptica [38.1K]
2 years ago
11

Sara, Mark and Caroline share £102 in a ratio 1:3:2. How much money does each person get?

Mathematics
1 answer:
V125BC [204]2 years ago
5 0

Answer:

Sara- 17

Mark- 51

Caroline- 34

Step-by-step explanation:

1) start by adding the ratios together, so 1+3+2= 6. Due to the order of the ratio, Sara, gets 1 art of the money, Mark gets 3 parts and Caroline get 2 parts.

2) take the total amount of money (102) and divide it by (1+3+2). 102/6 is 17.

3) divide the money by the amount each person gets. Sara only has one part, so she has £17, Mark gets 3 parts so he gets £51, and Caroline gets 2 parts, so she ends up with £34.

4) do 17+34+51 to check it equals 102. ( it does ;D)

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On Saturday, Carrie went to the store and bought 4 loaves of bread and 1 gallon of milk for a total of $12.50. The next weekend,
just olya [345]

Answer:

The price of one gallon of milk is $3.5

Step-by-step explanation:

Let

x----> the price of one loaves of bread

y----> the price of one gallon of milk

we know that

4x+y=12.50 ----> equation A

2x+2y=11.50 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (2.25,3.5)

see the attached figure

therefore

The price of one loaves of bread is $2.25

The price of one gallon of milk is $3.5

7 0
2 years ago
Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given
ira [324]

Answer:

T(3u+2v)=(-10,29)

Step-by-step explanation:

T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

T(3u+2v)=T(3u)+T(2v)=3T(u)+2T(v)=3(-2,5)+2(-2,7)=(-6,15)+(-4,14)=(-10,29)

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.

8 0
2 years ago
Giovanna recibe actualmente un ingreso anual de $42 000. Normalmente, recibe
Ymorist [56]

Answer:

S=42000*\sum_{i=0}^{n}0.02^n

Step-by-step explanation:

The salary per year is the combination of the $42000 per year (constant) plus the 2% rise per year. So the ecuation is:

Firt year S=(42000 + 0.02*42000)

Second year S=(42000 + 0.02*42000)+0.02*(42000 + 0.2*42000)

Generalizing:

S=42000*\sum_{i=0}^{n}0.02^n

3 0
2 years ago
An empty can weighs 30 grams. The weight of the same can filled with liquid is 47.3 grams. Which equation could be used to find
Alika [10]

Answer:

w = y - x is the equation to find w

Where,

w = Weight of the liquid

x = Weight of the empty can

y = Weight of the can with liquid

Step-by-step explanation:

Let

Weight of the empty can = x

Weight of the liquid = w

Weight of the can with liquid = x + w = y

x= 30 grams

w = ?

y= 47.3 grams

y = x + w

w = y - x

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w= 17.3 grams

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3 0
2 years ago
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stepan [7]

For this case we have the following inequality: y < 3x + 1 < br/ >

What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.

The shaded region represents the solution of the system of equations.

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0 < 3(0) + 1 < br / >

0 < 0 + 1 < br / >

0 < 1 < br / >

Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.

Then, the points that are on the line, are not part of the solution because the sign is of less strict.

Hope I helped ~~Laurel

6 0
1 year ago
Read 2 more answers
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