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Gemiola [76]
3 years ago
13

Help 10 minutes left!

Mathematics
1 answer:
Annette [7]3 years ago
5 0
The answer is the first one
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Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.
wlad13 [49]

Answer:

(a) Total = 45000

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

Kofi =5/9

Yaw = 2/15

Musa = 14000

Solving (a): The cost of the business

First, we solve for the fraction of Musa

Musa + Kofi + Yaw = 1

Musa = 1 - (Kofi + Yaw )

Musa = 1 - (5/9 + 2/15)

Musa = 1 - (\frac{25+6}{45})

Musa = 1 - \frac{31}{45}

Musa = \frac{45 - 31}{45}

Musa = \frac{14}{45}

So, we have:

\frac{14}{45} * Total = 14000

Make Total the subject

Total = 14000 * \frac{45}{14}

Total = 1000 * 45

Total = 45000

Solving (b): Partners in ascending order

First, represent the fractions as decimals

Kofi =5/9 = 0.5556

Yaw = 2/15 = 0.1333

Musa = \frac{14}{45} = 0.3111

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

6 0
3 years ago
Which of the following is a factor if 4x^2 - 4x - 3?
Svetradugi [14.3K]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e =  -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


7 0
3 years ago
Which shows Angle P O Q?
SpyIntel [72]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP! ASAP PLEASE
djverab [1.8K]

Answer:

x = 45

Step-by-step explanation:

x = (360 - 135 * 2) / 2

x = (360 - 270) / 2

x = 90 / 2

x = 45

5 0
3 years ago
Read 2 more answers
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