5. Find the percent change: Original 91, New 77*

Answers

Answer 1

Answer: The percent change is 14

Answer 2

Answer: The percent change is 14.

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What point in the feasibility region maximizes the objective function?Objective Function: C = 5x - 4y

Solve 2(x + 1) = 2x + 2.

Answers

2(x+1)=2x+2
^^^^^^2 gets distributed to both sides in the brackets.
the answer comes out to 2x+2.
therefore, 2x+2=2x+2.

Evaluate the expression 7×18+45÷3×2

Answers

Answer:

156

Step-by-step explanation:

7 * 18 = 126

126 +45 / 3 * 2

45 / 3 = 15 * 2 = 30

126 + 30 = 156

Answer:

156

Step-by-step explanation:

Who is good with algebra 1 /2 ?. i need help with it for my homework.

Answers

i do what do you need help with

How many milliliters of a 15% saline solution and how many milliliters of a 40% saline solution must be mixed to produce 10 milliliters of a 30% saline solution?Volume of 15% solution= ____
Volume of 40% solution = ____

Answers

x - volume of 15% saline solution. Theres is 15% x = 0,15 x saline solution
y - volume of 40% saline solution. There is 40% y = 0,4y saline solution

You want to produce 10 mililiers so x+y= 10

And this saline has to be 30%, so you've got 30 % * 10 = 0,3 * 10 = 3 ml saline. So:
0,15x + 0,4y = 3
And you've got system of equations:
$\begin{cases} x+y=10 \n 0,15x+0,4y=3\end{cases} \n \begin{cases} x=10-y \n 0,15x+0,4y=3\end{cases} \n \hbox{Substitute value from first equation to second:} \n 0,15(10-y)+0,4y=3 \n 1,5-0,15y+0,4y=3 \n 0,25y=1,5 \qquad /:0,25 \n y=(1,5)/(0,25)=(150)/(25)=6 \n \hbox{Then:} \n x=10-y=10-6=4$

So answer:
Volume of 15% saline solution : 4 mililiters
Volume of 40% saline solution: 6 mililiters.

String A is 30cm longer than string B. String B is 60cm longer than than string C. The total length of all 3 strings is 3m. Find the length of string C?

Answers

String A is 140, String B is 110, String C is 50

1. What is the equation of the line that goes through the point and is parallel to the line represented by the equation below?y=-5/6x+3

A. y=-5/6x+4
B. y=-5/6x-6
C. y=-5/6x-4
D. y=-5/6x+6

Which equation produces a line that is perpendicular to the line represented by the function below?
y=2/5x+9

A. 5x+2y=4
B. 2x-5y=8
C. 5x+2y=-3
D.2x+5y=-7

What is the slope of the line that is parallel to the line represented by the equation below?
4x-5y+-1

A 4/5
B -4/5
C 5/4
D -5/4

Answers

Answer:

1. Missing the point - unanswerable

2. A and C

3. A

Step-by-step explanation:

Recall the slope of a line is parallel if the same slope and perpendicular if it is the negative reciprocal.

For number 1, each equation has the same slope as the function and will be parallel. Without the point, you cannot determine which one.

For number 2, find an equation that has slope -5/2. Both A and C have this property when converted to slope intercept form.

5x+2y=4 5x+2y = -3

2y=4-5x 2y= -3-5x

y=2-5/2 x y=-3/2 -5/2 x

For number 3, the slope will be the same as the equation for parallel. Convert the equation 4x-5y=-1 to find the slope.

4x-5y=-1

-5y = -1-4x

y=1/5 + 4/5 x

A is the solution.

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5. Find the percent change: Original 91, New 77*​

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5. Find the percent change: Original 91, New 77*