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Vadim26 [7]
3 years ago
15

The sum of 5 times one number and 2 times a second number is 57. The sum of the two numbers is 18

Mathematics
1 answer:
slava [35]3 years ago
7 0

1st number=7 and 2nd number =11

Step-by-step explanation:

5x+2y=57

x+y=18

7+11=18

(5*7)+(2*11)=57

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The table shows a linear relationship between x and y.
Mama L [17]

Answer:

В:

X 3 9 15      

Y 4 16 20

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3 years ago
ansley is going to help his father shingle the roof of their house. What is the area of the triangular portion of one end of the
Assoli18 [71]
Ashley can help his father and it is a very easy that she can solve for the triangular portion of the roof by using the formula of the area of a triangle which is equivalent to A=1/2*H*B. Ashley needs to measure the length of both base and height of the triangular portion of the roof. Then, she can proceed with the equation. 
4 0
4 years ago
I need help with these two trigonometry problems.
Sloan [31]

Answer:

B \approx 32.1\°; A \approx 39.0\°

Step-by-step explanation:

Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant

\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c

In our case, for the left triangle,

\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°

Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get

sin\ B \approx 0.53 \rightarrow B \approx 32.1\°

Same difference with the right triangle. With the same calculations

sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°

5 0
2 years ago
The Management of a private investment club has a fund of $200,000 earmarked for investment in stocks. To arrive at an acceptabl
miv72 [106K]

Answer:

In order to obtain a return of 9% per year, we need to invest $133,333.333 in low risk investments, $0 in mid risk investment and $66,666.666 in high risk investment.

Step-by-step explanation:

2/3 of the $200,000 for investment should go to low risk, and the other third to mid risk and high risk. Lets call X the amount that goes into high risk, then the amount that goes to mid risk is 200,000/3 - X.

If we want a 9% of return for the total investment, then we should end with $200,000 * 1.09 = $218,000. We can compute what money we expect to end the year with in terms of X and then obtain the value of X.

We end the year with

200,000 * 1.06 * 2/3 + (200,000/3 - X) * 1.09 + X * 1.15 = 214000 + X * (1.15 - 1.09) = 214000 + X * 0.06

Since we want this amount to be equal to 218000, then

214000+X * 0.06 = 218000

X*0.06 = 218000-214000 = 4000

X = 4000/0.06 = 66,666.666 = 200,000/3

Thus, we are not investing in the mid risk category.

In order to obtain a return of 9% per year, we need to invest $200,000/3 = $133,333.333 in low risk investments, $0 in mid risk investment and $66,666.666 in high risk investment.

3 0
4 years ago
A string of holiday lights at a store have three colors that flash at different
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Answer:

30 times i think i don't know i am doing lcm and  gcf

Step-by-step explanation:

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