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3 years ago

How do I solve this system using substitution: y = x + 4; y = 3x

Mathematics

2 answers:

Kisachek [45]3 years ago

8 0

Y = x + 4
y = 3x

3x = x + 4
- x - x 
2x = 4
2 2
x = 2
y = x + 4
y = 2 + 4
y = 6
(x, y) = (2, 6)

Olin [163]3 years ago

4 0

You just do
3x=x+4
subtract x from both sides
2x=4
divide 2 from both sides
x=2
y=2+4
y=6
(x,y)= (2,6)

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What is the formula for the area A of a trapezoid with parallel sides of length B and D, nonparallel sides of length A and C and

loris [4]

Answer:

$(B) \dfrac12H (B+D)$

Step-by-step explanation:

$\text{Area of a trapezoid }= \dfrac12 ($Sum of the parallel sides) \times $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \dfrac12 (B+D) H$

The correct option is B.

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3 years ago

Solve the given equation

AlexFokin [52]

Eliminate the fractions by multiplying by least common multiple.
4,9,12 all go into 36 evenly. Multiply entire equation by 36.

36/4 = 9
36/9 = 4
36/12 = 3

New equation looks like:
$9(w-1) +4(w+1) = -3(w+1) \\ \\ 9w -9 +4w +4 = -3w -3 \\ \\ 9w +4w+3w = -3 +9 -4 \\ \\ 16w = 2 \\ \\ w = \frac{2}{16} = \frac{1}{8}$

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2 years ago

Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per

nika2105 [10]

126/7 = 18

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2 years ago

I need help with this question

Artyom0805 [142]

Answer:

Step-by-step explanation:

It's algebra really, basically make a system of equations.

1b+5j=t

3b+2j=2t

I'm gonna solve the first one for buckets so we have it in terms of jars.

b+5j=t

b=t-5j

Now I plug that into the other equation

3b+2j=2t

3(t-5j)+2j=2t

3t-15j+2j=2t

Now, since it wants how many jars are in one tub, I want to solve it so there's 1t on one side of the equation and all js on the other. or it other words solve for t.

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So it takes 13 jars to make one tub, or one jar is 1/13 of a tub. You could then plug that in to one of the equations and find how much a bucket is.

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2 years ago

ANSWERS THIS PLZ PLZ PLZ!!!!!

Alexandra [31]

Answer:

Should be D, the one you selected

Step-by-step explanation:

Hope it helps

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2 years ago