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emmasim [6.3K]
4 years ago
14

2d=a-b/b-c - solve for a

Mathematics
1 answer:
Readme [11.4K]4 years ago
7 0
2d=\frac{a-b}{b-c}\\\\\frac{a-b}{b-c}=2d\ \ \ \ \ |multiply\ both\ sides\ by\ (b-c)\\\\a-b=2d(b-c)\ \ \ \ |add\ "b"\ to\ both\ sides\\\\\boxed{a=2bd-2cd+b}
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18.Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a
Readme [11.4K]

Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

7 0
3 years ago
Jaxon invested $960 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are ma
Natalka [10]

Answer: 10 years

Step-by-step explanation:

1720=960(1+0.061/12)

3 0
3 years ago
15 times as much as 1 fifth of 12
Ann [662]
1) Work out what 1/5 of 12 is
To do this, we divide 12 by 5
12/5 = 2.4

2) Multiply 2.4 by 15
2.4 x 15 = 36

<em>If you don't like decimals, you can also do it this way...
</em>
This can be rewritten as 15  x  1/5  x  12
Multiplications alone can be performed in any order

1) Work out what 1/5 of 15 is
1/5 of 15
15/5 = 3

2) 3 multiplied by 12
3 x 12 = 36
8 0
4 years ago
Read 2 more answers
A survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it
alina1380 [7]
The margin of error of a given statistic is an amount that is allowed for in case of miscalculation or change of circumstances.

It is usually the radius or half of the width of the confidence interval of that statistic.

Given that a<span> survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. The margin of error of the survey is ±10%.

This means that 58% </span><span>± 10% of the </span>respondents want the school year lengthened, while 42% <span><span>± 10% think it should remain the same.</span>

Thus, from 48% to 68% </span><span><span>of the respondents want the school year lengthened, while from 32% to 52% <span>think it should remain the same.</span> </span>

Therefore, according to the survey data, at least 32% of students want the duration of the school year to remain unchanged, and at least 48% want the school year to be lengthened.</span>
7 0
3 years ago
Cube roots please help me I’m stuck
BabaBlast [244]

Answer:

2

Step-by-step explanation:

{2}^{3}  = 8

\sqrt[3]{8}  = 2

4 0
3 years ago
Read 2 more answers
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