Determine the solution to the system of equations by using substitution. Y=4x+10
Y=-5x-10

Answers

Answer 1

Answer: Steps:
1. Substitute the y in 4x + 10 with -5x-10
-5x-10= 4x + 10
2. Add 5x on both sides
-10= 9x + 10
3. Subtract 10 on both sides
-20= 9x
4. Divide by 9 on both sides
5. Your answer is
X= -20/9

Answer 2

Answer: $y=4x+10\ny=-5x-10\n\n4x+10=-5x-10\n9x=-20\nx=-(20)/(9)\n\ny=4\cdot(-(20)/(9))+10\ny=-(80)/(9)+(90)/(9)\ny=(10)/(9)\n$

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1/2 + r/-4 greater or equal to 5/6

Sean has 1/5 of a cupcake and 1/5 of a large cake . Are the wholes the same? Explain.

Answers

I don't think the wholes are the same because if you imagine a cup cake and a cake of different sizes cut into equally 5 pieces, one piece of the cup cake won't be the same size as the piece of cake.
or fractions are to show the fractions of something, so just because two fractions are the same it doesn't mean the whole numbers are the same too.

No, the only way I can explain it is with actual numbers. 50% of 100 is not the same as 50% of 200. Though the ratio may be the same, the wholes are not the same.

Sam used 17 cans of paint to paint 6 walls. He used the same amount of paint on each wall. Which is the correct way to show how to find how many cans of paint he used for each wall.

Answers

Answer:

The number of cans of paint he used for each wall is $2(5)/(6)$ cans

Step-by-step explanation:

Here we are told that Sam used 17 cans of paint to paint 6 walls

The correct way to find out how many cans of paint he used to paint each wall is as follows

Number of walls 17 cans of paint can paint = 6 Walls, we therefore divide both side of the equation by 6 so that the number of walls painted will be 1 as follows

6 Walls = Number of walls 17 cans of paint can paint

6/6 Walls = Number of walls 17/6 cans of paint can paint

∴ 1 Walls = Number of walls 17/6 cans of paint can paint or

∴ 1 Wall = Number of walls $2(5)/(6)$ cans of paint can paint

Which gives;

Number of walls $2(5)/(6)$ cans of paint can paint = 1 Wall or

The number of cans of paint he used for each wall = $2(5)/(6)$ cans.

give 2 examples that shows how using parentyeses can change the crder in which operations are preformed in an expression

Answers

(7+3)x4=40

7+(3x4)=19

and

6-(5x2)=-4

(6-5)x2=2

Find the number of terms in the expression 2x+5-x

Answers

Answer:

3 terms.

Step-by-step explanation:

A term can include but not limited too:

- A single number: (examples: 5)

- A single variable: (examples: x, -x)

- The two combined: (examples: 2x)

-Terms with powers or roots: (examples: 2x² , x√3)

This deals with simplification or other simple results. • canceling out : x+5

Find the distance and midpoint for the following coordinates.
P(7.6 , 10.1) and Q(4.6 , 3.1)

Answers

Solving for the midpoint:

x - coordinate: (7.6 + 4.6)/2 = 6.1
y - coordinate: (10.1 + 3.1)/2 = 6.6

Midpoint: (6.1 , 6.6)

Solving for the distance:

Distance formula: sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

D = sqrt( (7.6 - 4.6)^2 + (10.1 - 3.1)^2 )
D = sqrt( 3^2 + 7^2)
D = sqrt(58)
D = 7.62 units

Distance = 7.62 units

How many times does 6 go into 312