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skad [1K]
3 years ago
5

Only 18 people are allowed on a ride at the same time. There are 157 people waiting in line. How many groups of riders will ther

e be?
Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

Answer:

Step-by-step explanation:

Divide 157 by 8 to see how many groups there are.

157/18=8r13. So you can round up to 9 groups of riders as there is a max of 18 at a time.

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Please help and thank you
Katyanochek1 [597]

Answer:

B

Step-by-step explanation:

Because in this equation in bracket -2 always go on right if there is positive 2 than it goes left.

And 3 goes up because it is positive. in negative it goes down

4 0
3 years ago
50 apples cost $25. How much would 75 apples cost?​
iren [92.7K]

Answer:

$37.50

Step-by-step explanation:

If 50 apples cost $25 to find the cost of 1 apple, we divide the total cost by the total number of items. In this case, we do 25/50.

One apple costs 0.50. If we need 75 apples then we simply multiply 0.50 by 75 which gets us 37.50.

8 0
2 years ago
A lab technician needs 60mL of 25% acid solution for a certain experiment , but he has only 10% solution and 40% solution. How m
V125BC [204]

Answer:

  • 10%: 30 mL
  • 40%: 30 mL

Step-by-step explanation:

The needed concentration is exactly halfway between the available concentrations, hence they must be mixed equally.

He should mix 30 mL each of the 10% and 40% solutions.

_____

The first step in solving any problem is to look at the given information, and at what is being asked for. Here, the mix that is being asked for is exactly halfway between the given concentrations, so you know without any further contemplation that the mix will be 50%/50% of each.

__

If the mix were something else, there are several ways the problem can be solved. I like to use a diagram that puts the available concentrations on the left in a column with the highest on top, the needed concentration in the next column in the middle, and the differences of these numbers on the diagonals in the right column.

<u>Example</u>: if the needed mix is 15%, the diagram would look like ...

   40            5

          15

   10           25

The numbers on the right tell you the proportions required (5:25 = 1:5). For this example, you need 1 part 40% solution and 5 parts 10% solution to make a mix that is 15%. That's a total of 6 parts, so each "part" is 10 mL for 60 mL of solution.

We chose this example so every number in the diagram is different, so you could see how the instructions for use apply.

__

Another way to solve this is to let a variable represent the amount needed of <em>the highest concentration</em>. If we let that variable be x, for the given problem, we can write the equation for the amount of acid in the mix as ...

  40%(x) + 10%(60 -x) = 25%(60)

  0.30x = 9 . . . . . . . . subtract 6, simplify

  x = 9/0.30 = 30 . . . . . mL of 40% solution

6 0
3 years ago
Please help me out <br> I don’t know this
AlladinOne [14]
He spent 3/4 less time biking than at the mall
7 0
2 years ago
Read 2 more answers
8. which of the following ordered pairs is a solution of the given system of linear equations
V125BC [204]

Answer:

Option D The solution of the system is the point (-3,5)

Step-by-step explanation:

we have

x+y=2 -----> equation A

y=-2x-1 ------> equation B

Solve the system by substitution

Substitute the equation B in equation A and solve for x

x+(-2x-1)=2

-x-1=2

x=-2-1

x=-3

Find the value of y

y=-2x-1

y=-2(-3)-1

y=5

therefore

The solution of the system is the point (-3,5)

3 0
3 years ago
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