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mezya [45]
3 years ago
8

can someone please explain to me how to answer this question and also the equation to find the answer

Mathematics
1 answer:
Leona [35]3 years ago
6 0
If #peaches = x and #plums = y we can write the following equations:

x+y=15
0.89x + 0.39y = 8.85

and x and y are whole numbers.

converting the first to x=15-y and plugging it into the second, you get

0.89(15-y) + 0.39y = 8.85 =>
13.35 - 0.89y + 0.39y = 8.85 =>
4.5 = 0.5y =>
y = 9

so x = 15-9 = 6

She bought 9 plums and 6 peaches.


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HELP!! Simplify the expression 3y^2 • 4x^2y • 5x Using the laws of exponents. Show each step of your work.
JulsSmile [24]
<span>3y^2 • 4x^2y • 5x = (3*4*5) * (</span><span>y^2 * y) * (</span><span>x^2*x) = 60 * y^3 * x^3 = 60 (xy)^3


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3 years ago
Evaluate. 5x{(9 +2) X (6 + 3)} + 15​
Tju [1.3M]

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Step-by-step explanation:

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3 years ago
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amm1812
Steps:
1. Substitute the y in 4x + 10 with -5x-10
-5x-10= 4x + 10
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7 0
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Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe
8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO tan 65 = \frac{h}{45-x} = 2.14

h=2.14(45-x)

From ΔBCO tan80 = \frac{h}{x} = 5.67

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Now h = 5.67x = 2.14(45-x)

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7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore cos80 = \frac{x}{OB}

0.174 = \frac{12.33}{OB}

OB = \frac{12.33}{.174}=70.86=71ft.

Therefore 71 ft is the distance between B and the top of the hill.

3 0
3 years ago
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