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3 years ago

Solve for x 4(x+7)+98x+45+7y=567

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

5 0

Answer:

x = 247/51 − 7y/102

Step-by-step explanation:

much love

<33

lmk if thats right ;)

Brrunno [24]3 years ago

4 0

Subtract 73 from both sides of the equation.

102x+7y=567-73

Subtract 7y from both sides of the equation.

102x=567-73-7y

Subtract 73 from 567

102x=494-7y

Divide each term by 102 and simplify

Divide each term 102x=494-7y by 102

$\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}$

Cancel the greatest common factor which is 102x/102

$\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}$

Divide x by 1 $x\frac{492}{102} +\frac{-7y}{102}$

Cancel the common factor is 494 and 102

Factor 2 out of 494

$x\frac{2(247)}{102} +\frac{-7y}{102}$

Factor 2 out of 102

$\frac{2*247}{2*51} +\frac{-7y}{102}$

Cancel the common factor which is 2

Rewrite the expression. $x=\frac{247}{51} +\frac{-7y}{102}$

Move the negative in front of the fraction

$\frac{247}{51} -\frac{7y}{102}$

Read more about slope at:

brainly.com/question/3493733

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8 0

2 years ago

Solve the following system of equations using substitution.

ollegr [7]

To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.

$5x - 4y = -3$

$5x - 4(3x-5) = -3$

$5x -12x+20=-3$

$-20$ $-20$

_______________

$5x-12x=-23$

$-7x=-23$

___ ____

$-7$ $-7$

$x=3.29$ (rounded)

Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.

$y = 3x-5$

$y = 3(3.29)-5$

$y = 9.87-5$

$y = 4.87$

So, your final answer would be (3.29, 4.87).

7 0

2 years ago

You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want

Arlecino [84]

Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

Perimeter = $2L + 2W + 2W$

The fencing material costs $30 per meter.

The material for the partitions costs $25 per meter

$cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W$

$7000=60L+110W$

Solve for L

$7000=60L+110W\\7000-110W= 60L\\L=\frac{700}{6} -\frac{11}{6} W$

Area = length times width

$( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2$

Now take derivative and set it =0

$A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W$

set the derivative =0 and solve for W

$0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8$

So width = 31.8 that gives maximum area

$L=\frac{700}{6} -\frac{11}{6} (31.8)=58.4$

$Area = length \cdot width = 31.8 \cdot 58.4= 1857.12$ square meter

4 0

3 years ago

The area of a square of side 2.4 cm is

lilavasa [31]

Answer:

area of cube = a^2 ( a is side)

2.4^2 = 5.76 cm^2

6 0

3 years ago

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Which of te following statemnet are true

valkas [14]

Answer:

Step-by-step explanation:

Clearly BD is shorter than AE so that is false.

BD is clearly on the opposite end of EC so it is not bisecting, as bisecting would be DE bisecting AC

AC has to be perpendicular to something to be a perpendicular bisector however it is a straight line.

6 0

3 years ago

Read 2 more answers