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Lorico [155]
3 years ago
12

...Ratio is 1:6:8; amount to be shared is 52,500.00

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Answer:

let the amount be x,6x and 8x

x+6x+8x=52500.00

15x=52500.00

x=3500

now,

x=3500

6x=21000

8x=28000

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The figure is made up of a semicircle and a rectangle.
dezoksy [38]
Area = Area of rectangle + area of semicircle

Area of rectangle = 5 x 1 = 5 m^2
area of semicircle = πD²/8 = 3.14 x 5² / 8 = 9. 8125
Area = 5 + 9.8125 = 14.8125 m^2


4 0
3 years ago
One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the
Kipish [7]

Let's call the two numbers s and l.


Given these variables, we can say: s = l - 14, based on the first sentence in the problem.


Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}


To solve, we can simply substitute l -14 in for s in the second equation and solve.

\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}

  • Set up

\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}

  • Get terms on the left side to a common denominator for easier addition

\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}

  • Simplify

4(6l - 70) = l(l - 14)

  • Cross multiplication (\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc)

24l - 280 = l^2 - 14l

  • Simplify

l^2 - 38l + 280 = 0

  • Subtract 24l - 280 from both sides of the equation

(l - 10)(l - 28) = 0

  • Factor left side of the equation

l = 10, 28

  • Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

s = 10 - 14 = -4,

Since s is not positive in this case, l = 10 is not a solution.


Thus, l = 28 is our only solution. In this case,

s = 28 - 14 = 14,

which means that the smaller number is 14 and the larger number is 28.

5 0
3 years ago
The silver town people went to a fancy restaurant after the big event Grammy gave the sever a 15$ tip if she was 20% cost of din
pochemuha
The cost of the dinner was $75
5 0
3 years ago
Read 2 more answers
Find m∠IUV if m∠IUV=x+49, m∠TUI=x+63, and m∠TUV=106∘.?<br> I'll mark you brainliest!
8090 [49]

Answer:

46

Step-by-step explanation:

You have to do IVU+TUI=TUV

so... x+49+x+63=106

5 0
3 years ago
Count by fives from 135!to 175 describe the pattern
irina1246 [14]
5 10 15 20 25 30 35 40 45 50 55 60 64 70 75 80 85 90 95 100, 105 110 115 120 125 130 (135) 150 155 160 165 170 (175)
 Five multiplied each number.

Hope I helped!

-RainyClouds~
5 0
3 years ago
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