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Murljashka [212]
2 years ago
3

Choose values for A and B to create infinitely many solutions to this system of equations. 10x – Ay = 60 –10x + 20y = B A = B =

Mathematics
2 answers:
ollegr [7]2 years ago
6 0

Answer:

A: 20

B: -60

Step-by-step explanation:

just did test

Oduvanchick [21]2 years ago
4 0

Answer:

A = 20 and B = -60

Step-by-step explanation:

A system with infinite number of solutions is formed by equations which are a multiple of the other one. Then, the following proportion must be observed:

\alpha = \frac{10}{-10} = \frac{-A}{20} = \frac{60}{B}

\alpha = -1

-\frac{A}{20} = -1

A = 20

\frac{60}{B} = - 1

B = -60

The values are A = 20 and B = -60.

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a teacher needs 70 lengths of string cut to 40 cm each. If balls of string are 10 m long how many balls will be needed
LenKa [72]
A meter is 100 cm. A ball of string has 10m of string, and you multiply 10m by 100cm, you get 1,000cm. Then you multiply 40cm by 2, and you get 80cm, or two lengths of string. Then you multiply 35, which is half of 70, by 80, and that is 2,800 cm.
2,800
÷40cm=70
And 100cm=1m.
The teacher will therefore need 28 balls of string.
7 0
2 years ago
22. What is the percent of increase for a population<br> that changed from 438,000 to 561,000?
ra1l [238]

Answer: 28.08%

Step-by-step explanation: To find the percent increase, we divide the amount of change by the original number.

The amount of change is the difference between the two numbers which in this case is 561,000 - 438,000 and the original number is 438,000.

561,000 - 438,000 is 123,000 so we are left with 123,000 divided by 438,000 which is 0<em>.</em>2808. Finally, since our problem is asking us for a percent, we write 0<em>.</em>2808 as a percent by moving the decimal point two places to the right to get 28.08%.

So when the population changes from 438,000 to 561,000, it has increased by 28.08%.

5 0
2 years ago
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation t
igomit [66]
8x +7y = 39 multiply everything by 2
2(8x +7y = 39)
16x +14y = 78
+4x - 14y= -68
-------------------------
20x = 10
20x /20 = 10/20
x = 1/2

Plug x into first formula
8 x + 7y =39
8(1/2) 7y=39
4+ 7y =39
4-4+7y =39-4
7y =35
7y/7 = 35/7
y = 5
(1/2, 5)
6 0
2 years ago
Read 2 more answers
Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that
Valentin [98]

Answer:

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Step-by-step explanation:

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7 0
1 year ago
In a survey conducted with 600 participants across the United States, 450 were found to have studied science in college. If we w
Dahasolnce [82]
Confidence interval of a population proportion is given by p^ + or - sqrt(p^(1 - p^)/n); where p^ = 450/600 = 0.75 and n = 600
99.7% convidence interval = 0.75 + or - 2.96 x sqrt(0.75(1 - 0.75)/600) = 0.75 + or - 2.96 x sqrt(0.75(0.25)/600) = 0.75 + or - 2.96 x 0.0177 = 0.75 + or - 0.0524 = 0.697 to 0.803 = 69.7% to 80.3%
7 0
2 years ago
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