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Delicious77 [7]
3 years ago
6

7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0
So we have the system of equations:
7+2y=8x equation (1)
3x-2y=0 equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for x in equation (2):
3x-2y=0
3x=2y
x= \frac{2}{3}y equation (3)

Replacing equation (3) in equation (1):
7+2y=8x
7+2y=8( \frac{2}{3} y)
7+2y= \frac{16}{3} y
7= \frac{10}{3} y
y= \frac{7}{ \frac{10}{3} }
y= \frac{21}{10} equation (4)

Replacing equation (4) in equation (3):
x= \frac{2}{3}y
x=( \frac{2}{3} )( \frac{21}{10} )
x= \frac{7}{5}

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
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i will give you brainliest and thanks and 5 star on all of my accounts on brainliest if its correct rip my points i have 9 now :
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Answer:

A) answer c ; B) X+3.7=15.3 ; C) 15.3 - 3.7 = 11.6 ---> 11.6+3.7=15.3

Step-by-step explanation:

Solution for A: First you have to look for the line underneath the bar says 15.3 as this will represent the total amount of liters in the bucket altogether. This would be bar c since we also know that we have 3.7 liters added but are missing the amount that was previously inside the bucket.

Solution for B: Let X resemble the unknown amount of water. To solve B, we need to write an equation. We know that there was already an amount of water in the bucket prior to us pouring more in so X is our first addend. We then added 3.7 liters of water to the unknown amount so that is our next addend giving you X+3.7=15.3

Solution for C: Now that we know our equation, we do the inverse operation (subtraction) in order to figure out the missing amount of water. This means we do

15.3 - 3.7 = 11.6

4 0
2 years ago
Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi
torisob [31]

Andrew can reach a maximum of 24.6ft high up the wall.

The right-angled triangle formed can be solved using the sine ratio. that is

sin(72^\circ})=\dfrac{h}{20}

where h is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for h, we get

0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft

Since Andrew can reach an extra 5ft above the point where the ladder rests against the wall, the maximum height Andrew can paint is

(19.632+5)ft=24.632ft\\\\\approx24.6ft

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0
3 years ago
Which of the following is true about the expression <img src="https://tex.z-dn.net/?f=%5Csqrt%7B3%7D" id="TexFormula1" title="\s
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Answer:

6

Step-by-step explanation:

\sqrt{3} \times  \sqrt{12} \\  =  \sqrt{36}  \\  =  \sqrt{6}  \times  \sqrt{6}  \\  = 6

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3 years ago
The swim club rents the municipal pool for a flat fee of $500 plus a charge of $75 per swimmer during
xxTIMURxx [149]

Answer:

Y=500x+75

Step-by-step explanation:

4 0
3 years ago
Evaluate the following expression 3(7 -5) + 8(9 +2)
katen-ka-za [31]

Answer:

The answer to your expression is 94.

Step-by-step explanation:

Given Expression -> 3 ( 7 - 5 ) + 8 ( 9 + 2 )

Order of Operations Parenthesis -> 3 ( 2 ) + 8 ( 11 )

Multiplcation Left to Right -> 6 + 8 ( 11 )

Multiplcation Left to Right -> 6 + 88

Addition -> 94


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3 years ago
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