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2 years ago

16x+14y=8 -63x-14y=133

Mathematics

1 answer:

artcher [175]2 years ago

4 0

Answer:

(-3, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

16x + 14y = 8

-63x - 14y = 133

Step 2: Solve for x

Elimination

Combine 2 equations: -47x = 141
Divide -47 on both sides: x = -3

Step 3: Solve for y

Define original equation: 16x + 14y = 8
Substitute in x: 16(-3) + 14y = 8
Evaluate multiplication: -48 + 14y = 8
Add 48 on both sides: 14y = 56
Divide 14 on both sides: y = 4

Step 4: Graph Systems

Check the solution set.

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Xavier bought 3 quarts of milk for his family. They drank 1-quarts for

telo118 [61]

The answer is B. Once you combine the two amounts consumed (which you’d put them in like terms and reduce) you’d subtract the sum from 3

There for
1 1/4 = 1 2/8
1 2/8+7/8 = 1 9/8
1 9/8 = 2 1/8

2 1/8 is the sum of the amount consumed there for,
3- 2 1/8 = 7/8

If you solved with A you would essentially be adding a initial quart of 3 and 1 1 1/4 which assumes you added milk then drank 7/8 of a quart, C assumes you don’t consume any and you have 1 1/4 and 7/8 quarts of milk above the 3 quarts and D would leave you with 1.125 or 1 1/8 there for it is also incorrect.

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2 years ago

Fern knitted 20 scarves over 5 nights. After 8 nights of knitting, how many scarves would fern have made in total.

Studentka2010 [4]

Answer:

Fern will knit 32 scarves in 8 nights.

Step-by-step explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k = $\frac{s}{n}$

Here, k = proportionality constant

For s = 20 and n = 5,

k = $\frac{20}{5}$

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k = $\frac{s}{8}$

4 = $\frac{s}{8}$

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.

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2 years ago

What statements about the volume of the prism are correct? Check all that apply.

algol [13]

Answer: A,C,E

Step-by-step explanation:

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3 years ago

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Please help me with number 5 thank you so much

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The answer is 10 people. The way you know is because the surveyor asked the person for one answer, so if you results were 1, 0, ,10 ,7 ,13 ,2 ,9,15 ,0 and 3, then obviously only 10 people were asked because you have 10 answers.

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2 years ago

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HELP FIRST TO ANSWER ALL IS BRAINLEIST!!!!!!!!!

andreev551 [17]

Answer:

1. D) 1 9/20

2. B) 7/12

4. D) $50.00

Step-by-step explanation:

The working is as follows :

1. Mrs. Lang bought 3/4 pound of red grapes and 7/10 pound of green grapes. To find out how many are in total we have to add both values total.

3/4 + 7/10

The LCM of 4 and 10 is 20.

3/4 * 5 = 15/20

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The LCM of 3 and 4 is 12

1/3 * 4 = 4/12

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4/12 + 3/12 = 7/12

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2/3 * $75 = $50.00

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2 years ago