For each inequality, decide whether the solution is represented by x<4.5
or x>4.5

Part A: Heather had a total of 12 liters of soda.

Part B: She filled 3 gallon containers before running out.

Part A: To find the total liters of soda Heather had, we need to convert the 2-liter bottles into liters and then sum them up.

Each 2-liter bottle is equal to 2 liters.

Since Heather had six 2-liter bottles, the total amount of soda in liters is:

6 bottles * 2 liters/bottle = 12 liters

So Heather had a total of 12 liters of soda.

Part B: To determine how many gallon containers she filled before running out of soda, we need to convert the liters of soda into gallons and then divide by the capacity of each container.

Since 1 gallon is equal to approximately 3.785 liters, we can divide the total liters by the conversion factor:

12 liters / 3.785 liters/gallon ≈ 3.17 gallons

Heather filled approximately 3.17 gallon containers before running out of soda. However, since we can't have a fraction of a container, we can assume she filled 3 gallon containers before running out.

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Answer:

D: y equals negative one-half x minus 2

Step-by-step explanation:

slope

Answer: A: 4.5 hours

B: No, she won't catch up.

C: 21 miles/hour

IMPORTANT: Please don't just copy the answers from the top and read all the sections down below! You can always learn something new.

Step-by-step explanation (SHOULD READ):

Hello! I hope this will help:

Hector = H

Wanda = W

------------------------------------------------------------------------------

Distance of race = 42miles

[tex]V_{H} = 12miles/hour\\D_{H} = 42miles-18miles=24miles\\V_{W} = 16miles/hour\\D_{W} = 42 miles[/tex]

Vh = Velocity of Hector

Dh = Hector's distance to travel

Vw = Velocity of Wanda

Dw = Wanda's distance to travel

----------------------------------------------------------------------------

Now, let's solve these exercises!

Write and solve an equation to find when Wanda will catch up to Hector.

The key words are the bolded words!

What do we have to find?

When Wanda..... Here we can see one thing: time

The word when indicates that we gotta find t (time).

catch up to Hector....

catch up indicates the fact that Wanda's position will be equal to Hector's position (Pos Hector = Pos Wanda)

And to Hector indicates position. Hector's position

So, at point A we gotta find the time that it would take for Wanda to catch up to Hector.

Wanda's speed (velocity) is greater (higher) than Hector's. Which means, after a definite amount of time, Wanda will catch up to him.

How to find the time it would take for Wanda to catch up to Hector?

Well, we gotta solve for time. We know their velocities, and their distance from eachother.

As we know, the formula for velocity is [tex]V=\frac{d}{t}[/tex]

That is Velocity = Distance divided by time.

We know: Distance, Velocity

So, we need to find the difference between our velocities. That way, we can know how faster you are than him, and in this case, Wanda than Hector.

Vwanda-Vhector = 16miles/hour-12miles/hour

The difference between their velocities is 4miles/hour.

That only means, that Wanda, every hour will walk 4 more miles, than Hector, because she's faster, obviously.

Velocity is 4miles/hour.

The distance will be the distance between the 2 children. That's 18 miles.

V = d/t

4miles/hour = 18miles/t

Let's calculate for t.

Multiply t on both sides.

4miles/hour * t = 18 miles * t / t

the time on the right side cancels out.

4 miles/hour * t = 18 miles.

divide 4 miles/hour on both sides.

4miles/hour * t / 4miles/hour = 18 miles / 4 miles/hour

the 4 miles/hour cancels out on the left side.

t = 18 miles / 4 miles/hour

the miles cancel out, remaining just the hour on the right side.

t = 18/4hours

t = 4.5 hours

If Wanda would travel for 4.5 hours, she will catch up to Hector!

And just like that, we solve A.

Let's move on B, shall we ?

The question is: Will Wanda catch up to Hector before the race is complete? Explain.

Pretty easy.

So, the question asks if Wanda has enough time to catch Hector, before he actually wins.

We know that Wanda's time to catch Hector = 4.5 hours.

What we need to do?

We need to calculate the time it will take Hector to finish the race, and then we'll go to the next step.

Hector's distance to finish the race = 42 miles - 18 miles = 24 miles.

Hector has to go 24 more miles to win.

His velocity is equal to 12 miles/hour.

V = d/t

12 miles/hour = 24 miles / t

multiply t on both sides, and the t on the right side will cancel out.

12 miles/hour * t = 24 miles * t / t

12 miles/hour * t = 24 miles

divide 12 miles/hour on both sides, and on the left side it will cancel out.

12 miles/hour * t / 12 miles/hour = 24 miles / 12 miles/hour

t = 24 miles / 12 miles/hour

The miles will cancel out, on the right side.

t = 24 / 12 hours

t = 2 hours

Now , to finish point B:

Her distance =  42 miles

Her velocity = 16 miles/hour

Time = Distance/Velocity

Her time = 42 miles / 16 miles/hour

the miles will cancel out on the right side

Her time = 42 / 16 hours

Her time = 2.625 hours to reach the finish.

Let's quickly display their times :

Hector : 2 hours

Wanda : 2.625 hours

Wanda did not have enough time to finish.

Hector finished the race in 2 hours, and Wanda in 2,6 hours (aproximately) .

Question: At what constant speed could Wanda travel to catch up with Hector at the finish line? Explain (boring)

At what velocity could Wanda travel at, to catch up Hector and win? That's the question.

Velocity of Hector = 12 miles/hour

Distance of Hector = 24 miles

Time of Hector = 2 hours

------------------------------------------------

Velocity of Wanda = ? (The enough velocity to pass Hector)

Distance of Wanda = 42 miles

Time of Wanda  = ? (It isn't 2.6hours because if Wanda walks faster she would have a smaller time)

Wanda's time = Hector's time, because we want to get at the finish exactly when Hector is at it.

Wanda's time = 2 hours

V = d/t

V = 42/2

V = 21 miles/hour

Just like that.

If Wanda would travel on her bike with 21 miles/hour she would've cought up to her friend.

Hi again! I really hope I helped you and I hope I didn't make any mistake, altough I don't I did. Succes!

Answer:

93 bags

Step-by-step explanation:

The area of the playground is: 52(16) or 832ft

There are 3 feet in one yard, meaning one bag covers 9 feet

832/9 = 92.4444

Answer:

We need to know how much money she handed the cashier, to be able to calculate the change she should get back.

Step-by-step explanation:

3 x 2.98 = 8.94

1 x 4.99 = 4.99

2 x 3.99 = 7.98

5.99 + (5.99 x 0.06) = 6.35

8.94 + 4.99 + 7.98 + 6.35 = 28.26

(Did this in case you get hit with a part 2 and need to calculate it out) :)

Answer:

pretty sure the answer is A.

Step-by-step explanation:

have a great day or night

Answer:

51 [tex]\frac{1}{35}[/tex]ft²

Step-by-step explanation:

6 5/7 = 47/7

7 3/5 = 38/5

----------------------

a = 47/7 * 38/5

a = 1786/35

Reduce

a = 51 [tex]\frac{1}{35}[/tex] ft²

maaaath. isssss. heeeeellllll.

Answer:

3.13

Step-by-step explanation:

47/15

47 ÷ 15 = 3.1333333...

The answer is a terminating decimal, so we need to round it. In this case, we need to round to the nearest hundredth.

3.133333... = 3.13

The value of 47/15 rounded to the nearest hundredth will be equal to 3.13

The fraction is defined as the division of the whole part into an equal number of parts.

The solution of the given fraction is as follows:-

= 47  /  15

We need to divide 47 by 15

47 ÷ 15 = 3.1333333...

Therefore the value of 47/15 rounded to the nearest hundredth will be equal to 3.13

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Answer: 60%

Step-by-step explanation: just do 45/75 and you get 0.6

Answer: 60

Step-by-step explanation:

multiply

Answer:

bit.^{}

ly/3gVQKw3 this is the link of the other guy

Answer: it was just the number of the 2 positive for the following number

Answer:

the answer is x=2

Step-by-step explanation:

he did not distribute the equation properly

Answer:

i believe the answer is C

Step-by-step explanation:

Answer:

25.1325

Step-by-step explanation:

A=[tex]\pi[/tex]r^2

radius is half of 8

A=[tex]\pi[/tex]4^2

solve gets 50.265

then divide by 2

25.1325

Answer:

25.12 cm2

Step-by-step explanation:

The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius. The value of π is 3.14 or 22/7.

A = πr²/2 = 8 * π [in²] ≈ 25.1327 [in²]

Answer:

9 is the correct answer

(2×2+1)=5÷5×9=9

Answer:

Step-by-step explanation:

The area is 9 because since is a square 3*3=9

Hope this helps

Have a good day :)

let me see how many we working with

Answer:

D 11/12

Step-by-step explanation:

the fractions round up by 2

example, 2/12, 4/12, 6/12, 8/12.... etc

Answer:

15

Step-by-step explanation:

Answer:

The surface area that will be painted is 376 ft2.

Answer:

Part A: 0

Part B: (-1,-1) since point (-1,1) is located in quadrent four when it is reflected over the y axis the second point would be located in quadrent three and the x and y would both be negative.

Step-by-step explanation:

The value of m is 1/3 of equation  |6m-2|=0,  |3(x-2)|=12 of p are 1, -5/3 for equation 1-|3p+1|= -3,  value of x are 7, -17/3 for equation |3x-2|=19 and

value of x are 6, -2 for |3(x-2)|=12

The first equation is |6m-2|=0

| 6m - 2 | = 0

6m = 2

Divide both sides by 6

m = 1/3

The value of m is 1/3.

The second equation is 1 - | 3p + 1 | = -3

- | 3p + 1 | = -4

-3p - 1 = -4

Add 1 on both sides

-3p = -3 or 3p = -5

The value of p are 1, -5/3

3) Third equation is | 3x - 2 | = 19

3x = 21 or -3x + 2 = 19

-3x = 17

Divide both sides by 3

The value of x are 7, -17/3

4) | 3(x - 2) | = 12

3x - 6 = 12 or -3x + 6 = 12

3x = 18 or -3x = 6

The value of x are 6, -2

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Answer:

The answer is $990. Because 0.36 times 2750=990

Step-by-step explanation:

can i have brainliest?

Answer:

4.6/1

Step-by-step explanation:

23 = 5

1 = 4.6

Answer:

0.19 hours per Dollar

Step-by-step explanation:

Given data

Cost of rental= $27

Time = 5 hours

Hence

for $27 a customer gets 5 hours

for $1 a customer gets x hours

cross multiply

27x = 5*1

x= 5/27

x=0.185

x=0.19

Answer:

Its was the gunshots. the citizens heard the gunshots.

Step-by-step explanation: