A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200 L of a solutions containing 42% insecticide. How much of each solution should be used?

Answers

Answer 1

Answer: Let x L of solution 1 is used
and 2nd solution is (200-x)L

According to question,
30% of x + 50% of (200-x) = 42% of 200L
0.3x + 0.5(200-x) = 84
0.3x - 0.5x + 100= 84
0.2x = 16
x=80

Therfore 80L of solution 1 and 120L of solution 2 is mixed.

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Which of the following statements have the same result? Explain each step in solving each one.f(1) when f(x) = 5x + 1
f−1(3) when f(x) = 2x plus 3, all over 5
3y − 7 = y + 5

Answers

$f(x) = 5x + 1\n\nsubtitute\ x = 1\ to\ the\ equation\n\nf(1) = 5\cdot1 + 1 = 5 + 1 = 6\n----------------------\nf(x)=(2x+3)/(5)\to y=(2x+3)/(5)\ \ \ \ |multiply\ both\ sides\ by\ 5\n\n5y=2x+3\ \ \ \ |subtract\ 3\ from\ both\ sides\n\n2x=5y-3\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\nx=(5y-3)/(2)\n\nf^(-1)(x)=(5\cdot(-1)-3)/(2)=(-5-3)/(2)=(-8)/(2)=-4\n---------------------\n3y-7=y+5\ \ \ |add\ 7\ to\ both\ sides\n3y=y+12\ \ \ \ |subtract\ y\ from\ both\ sides\n2y=12\ \ \ \ |divide\ both\ sides\ by\ 2\ny=6$

Answer: f(1) when f(x) = 5x + 1 and 3y - 7 = y + 5

Calculate each mean, median, and mode, correct to one decimal place. data set: 2,2,1,5,3

Answers

Answer:

Step-by-step explanation:

arranging in ascending order

1,2,2,3,5

mean= (1+2+2+3+5)/5=13/5=2.6

median=2

mode=2

What would be the cost for 5 of the cost for 5 of the gift cards a $80
b $90
c$100
d$110

Answers

Answer:

Cost for the 5 gift cards = $20

Step-by-step explanation:

In the given graph,

y axis shows the "total cost" in dollars

x axis shows the "number of gift cards"

According to the graph:

Cost of 1 card = $20

Cost of 2 cards = $40

Cost of 3 cards = $60

Cost of 4 cards = $80

We see that that relation represents the linear relation.

So, cost of 5 cards = 5*$20 = $100

That's the final answer.

I hope it will helps you.

the table shows that 1 gift card equals 20 dollars... so 20 * 5 = 100
so your answer is C.) $100

This is hard can I get help

Answers

Same as the last one you asked.

AB + BC = AC. Just think of it like Part + Part = Whole Thing

(2x + 6) + (6x + 5) = 51

Combine like terms:
8x + 11 = 51

Subtract 11 from both sides to get the variable and its coefficient on its own:
8x = 51 - 11
8x = 40

Divide both sides by 8 to isolate the variable:
x = 5

It's asking for us to find BC so now we plug in x = 5 to the equation it gave for BC.

6x + 5
6(5) + 5
30 + 5
35

BC is 35 units long.

a plane intersect a prism to form a cross section that is a polygon with five sides. what is the minimum number of sides thst the polygon at the base of the prism must have? a3 b4 c5 d6 e7

Answers

Answer:

C5 because there's going to be 5 triangles when you do it hope I helped

Step-by-step explanation:

Simplify 8(R + 6) - 2R

Answers

8(R + 6) - 2R,8R + 48 - 2R,The result is 6R + 48

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