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djyliett [7]
2 years ago
13

Solve the system using substitution.

Mathematics
2 answers:
BartSMP [9]2 years ago
8 0

Answer:

(1/4, 3)

Step-by-step explanation:

Substitution is essentially where we write one variable in terms of another, substitute that into the other equation so that we are left with 1 variable, and then solve for that variable.

Here, the second equation already shows y written in terms of x: y = 12x. Substitute this into the first equation:

6 + 8y = 30

6 + 8 * (12x) = 30

6 + 96x = 30

96x = 24

x = 24/96 = 1/4

Plug this into any of the equations to solve for y:

y = 12x

y = 12 * (1/4) = 3

The answer is (1/4, 3). *Note that none of the answer choices matches this, which means that you may have copied the answer incorrectly.*

VikaD [51]2 years ago
3 0

Answer:

B

Step-by-step explanation:

6x + 8y = 30

y = ½x

6x + 8(½x) = 30

6x + 4x = 30

10x = 30

x = 3

y = 3/2

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Answer:

N = D * 1.20

Step-by-step explanation:

In order to calculate the number of dishes that the previous menu had we first need to turn this percentage into a decimal by dividing it by 100

20% / 100 = 0.20

Now we add a 1 to it since we are increasing the old menu by this amount

0.20 + 1 = 1.20

Now we can multiply this by the previous menu dishes (D) to get the new amount of menu dishes (N)

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2 years ago
Help please is this right if not help with answers
wlad13 [49]

Answer:

3/8 + 1/4 < 1

Check: Find common denominators, what you do to the denominator, you do to the numerator. Multiply 2 to both the top and bottom of the fraction:

(1/4)(2/2) = 2/8

3/8 + 2/8 < 1

5/8 < 1

5/8 < 8/8 (True).

Any fraction works in the second one, for regardless, you will get less than a whole number, so solve the third one first.

The 2 fractions needed will have to be greater than 1. 1/4 has already been used, so find two pairs of fractions that will, when added, be greater than 1.

(7/8 + 3/4)

Find common denominators, what you do to the denominator, you must do to the numerator:

(7/8)(2/2) + (3/4)(4/4) = (14/16) + (12/16) = 26/16

26/16 > 1 (True).

Finally, the last one will be 2/3.

2/3 - 1/8 < 1

Find common denominators, what you do to the denominator, you must do to the numerator:

(2/3)(8/8) - (1/8)(3/3) < 1

16/24 - 3/24 < 1

13/24 < 1 (True).

~

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3 years ago
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solmaris [256]

There are 7 days in a week, using this you can fill out the table.

If you have questions, feel free to add a comment to this answer.

Hope this helps.

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3 years ago
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r-ruslan [8.4K]

Answer:

x =√25-16

x =√9

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Step-by-step explanation:

I've used the Pythagoras theorem

3 0
3 years ago
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If you increase your current quality score of 85% by 7%, you will have a score of __________.
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This is the concept of arithmetic, if you increase your score of 85% by 7%, you will have a score of:
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