I need help solving these problems--Images down below.On the long word problem, I was given hints:
X=Less than 5 weeks
Y=Less than 200
- Use substitution instead of graphing.
I need help solving these problems--Images down below. On the - 3

Answers

Answer 1
Answer:

Answer:

all work is pictured and shown


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12 gallons of water fill a tank to 3/4 capicity. What is the capicity of the tank? If the tank is then filled to capicity, how many half-gallons bottles can be filled with the water in the tank?

Answers

Answer:

The total capacity of the tank  = 16 gallons

32 bottles can be filled with the water in the tank.

Step-by-step explanation:

Let the total capacity of the tank = K gallons

Now here, according to the question

3/4 capacity  of the tank = 12 gallons

(3)/(4)  * K = 12\norK = 12 * (4)/(3)

or, K = 16 Gallons

So, the total capacity of the tank is 16 gallons.

Now, capacity of 1 bottle =  0.5 gallon= (1/2) gallon

So, number of bottles filled = Capacity of each bottle x Total capacity of tank

n = 0.5 gallon x 16 gallons = 32 bottles

Hence, 32 bottles can be filled with the water in the tank.

A movie theater owner determined that about 2 out of every 5 customers purchases popcorn. Which simulation could be used to answer questions about customers purchasing popcorn?

Answers

Answer:

The spinner

Step-by-step explanation:

The spinner will work because there is a 2/5 chance of landing on green everytime it is spun

Answer:

The spinner

Step-by-step explanation:

The spinner has 5 colors on it. So there's a 2/5 chance of landing on green every time it's spun

The dice can have 6 different outcomes. The coin flipping has 2 outcomes, but only 2 events as well.

Hope this helps!

What is the scale factor for the set of similar figures? Type in your answer as a decimal.

Answers

to find the scale factor, the main formula which is used for solving such a problem is as follow: If the initial shape is greater than the final's, so we use SF=SL / LL. SF= scale factor, SL=Smaller length, LL= Larger legth. According to our case, the smaller length is SL=6mm, and the Larger length is LL=15mm, so SF=6mm/15mm=2/0.4mm.The answer is SF=0.4mm

Your parents took your family out to dinner. the parents wanted to give the waiter a 15% tip. if the total amount of the dinner was $42,00 what should be paid to the waiter as a tip?

Answers

Answer:

it is a 630 tip or if 42.00 it is 6.30

Step-by-step explanation:

if you take 4200 and multiply by 0.15 you get the awnser

Answer:

$6.30

Step-by-step explanation:

Your parents took your family out to dinner. the parents wanted to give the waiter a 15% tip. if the total amount of the dinner was $42,00 what should be paid to the waiter as a tip?

at a neighboring school, the ratio from boys to girls is 6:5. There are 209 students in the school. How many are girls?

Answers

There are several important information's already given in the question. Based on those given information's the answer to the question can be easily deduced.
Total number of students in the school = 209
Ration of the boys to girls in the school = 6:5
Let us assume the common ratio to be = x
Then
6x + 5x = 209
11x = 209
x = 209/11
   = 19
Then
The number of girls in the school = 19 * 5
                                                      = 95
So there are a total of 95 girls in the school that has a total of 209 students.

Which expression is equivalent to 4(6x + 11)

Answers

4(6x + 11)

Distributive property 

4*6x = 24x
4*11 = 44

Answer:   24x + 44 
24x+44 is your answer. 

First you do 4×6x=24x. Then you do 4×11=44.
Put them together it will be 24x+44
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