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galben [10]
2 years ago
8

Mike and John are the partners in a local bar who invest in a ratio of 7:13, respectively. They started the business with $1.5M.

A) How much money did Mike invest? Answer:$ B) How much money did John invest? Answer:$ C) What percent of the business does Mike own? Answer: % (round to the nearest tenths of a percent)
Mathematics
1 answer:
Mamont248 [21]2 years ago
7 0

Answer:

A) $525,000

B) $975,000

C) 35%

Step-by-step explanation:

To solve A) and B), divide the total amount of money by the sum of the parts of the ratio (7 + 13 = 20, in this case), and then multiply this by the person's portion of the ratio. This is because you are finding the worth of '1 part', and are then multiplying it to find how much money all their parts are worth together.

To solve C), take a person's portion of the ratio, divide it by the sum of the portions of the ratio and then multiply by 100% to get a percentage. In this case, 7/(7 + 13) * 100% = 7/20 * 100% = 0.35 * 100% = 35%.

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4x2 + 9y2 = 72<br> 2x - y = 4<br><br> Which of the following is a solution to the system shown?
Ede4ka [16]
If you would like to solve the system of equations, you can do this using the following steps:

4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3

<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2

1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)

The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
5 0
3 years ago
-4x-3(-44-23)=13<br><br><br> please show the work, i’ll mark brainliest
pychu [463]

Answer:

47

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x−3(−44−23)=13

Step 1: Simplify both sides of the equation.

−4x+201=13

Step 2: Subtract 201 from both sides.

−4x+201−201=13−201

−4x=−188

Step 3: Divide both sides by -4.

−4x

−4

=

−188

−4

x=47

3 0
2 years ago
Martha and Howard are running at a constant speed in a marathon. Martha runs at 4.5 mph. Howard’s progress is 5 miles an hour. W
Leno4ka [110]

Answer:

the answer is that Howard runs faster.

Step-by-step explanation:

Because 4.5 is the least  and then 5.0 is greater than Martha

6 0
2 years ago
Divide 80 in a ratio of 3:2
Alecsey [184]
The 3:2 ratio can be calculated by dividing the total by the sum of the factors (3 + 2) i.e. 80/5 = 16 
<span>Then multiply the factors by the answer above (i.e. 3 x 16 and 2 x 16) </span>

<span>48:32
hope this helps you ! =')</span>
3 0
3 years ago
Read 2 more answers
If m∠4 = 35, find m∠2. Explain.
Bad White [126]

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Triangle CAB is a right triangle.

Therefore, m∠1 = 90°

Similarly, m∠ACD = 90°

m∠ACD = m∠ACB + m∠BCD = 90°

             = m∠3 + m∠4 = 90°

Since m∠4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35°

        = 55°

In the triangle ABC,

m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]

m∠3 + m∠2 + m∠1 = 180°

55° + m∠2 + 90° = 180°

m∠2 + 145° = 180°

m∠2 = 180° - 145°

        = 35°

Since, AB║CD and BC is a transverse,

Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]

Option (1) is the correct option.

4 0
3 years ago
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