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arsen [322]
3 years ago
8

Michael is twice as old as Ann. If 14 is added to Ann’s age and 22 is subtracted from Michael’s age, their ages will be equal. W

hat are their present ages?
Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Answer: Michael is 72 while Ann is 36.

Step-by-step explanation: Let X represent Michael's age and Y represent Ann's. From the first sentence,

Y=2X. (eqn 1)

14+X=Y-22 (eqn 2)

X-Y=-22-14

X-Y=-36; But Y=2X.

Therefore, X-2X=-36; -X=-36; X=36. Hence, Y=2*36; Y=72.

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10% of the 150 students in sixth grade are on the student council. How many sixth graders are on the student council?
Vinil7 [7]

Answer:

The answer is 15.

Step-by-step explanation:

10% of 150 is 15. (you can take away the zero)

8 0
2 years ago
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Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
3 years ago
I will give BRAINIEST
Lilit [14]
I believe it’s c/100.
2=20
10 divided by 2 = 5.
Multiply 5 by 20. That equals 100.
4 0
2 years ago
What scale factor should be applied to a solid to produce a volume that is four times as large as the original volume? 64 1.12 4
Anton [14]
4

If i want the number 5 to be 4 times as large, i will multiply 5 x 4
8 0
3 years ago
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What is an equation of the line that passes through the point (5,1)(5,1) and is parallel to the line x+y=9x+y=9?
disa [49]

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =1

m the slope  m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9

an equation for this line is : y-1 = -(x-5)

4 0
2 years ago
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