An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? a. 1/12 x 3 hours
b. 1/3 x 12 hours
c. 1/3 x 1/12 hour
d. 3 x 12 hours

Answers

Answer 1

Answer: Selection B is appropriate.

_____
It takes 12 times as long to fill the whole tank as it does to fill 1/12 of the tank.
.. 12 * (1/3 hour) = (1/3)*12 hour

Answer 2

Answer:

Answer: b . $(1)/(3)*12$ hours

Step-by-step explanation:

Given : A oil company fills $(1)/(12)$ of a tank in $(1)/(3)$ hour.

i.e. Time taken to fill $(1)/(12)$ of a tank= $(1)/(3)$ hour.

By using the Unitary method, we multiply 12 on bith the sides of the above expression we get

Time taken to fill $(1)/(12)*12$ tank= $(1)/(3)*12$ hour.

⇒ Time taken to fill 1 tank= $(1)/(3)*12=4$ hour.

Hence, it will take $(1)/(3)*12$ hours or 4 hours for the tank to fill completely.

Thus , the correct answer is b . $(1)/(3)*12$ hours

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Rita's graduation picnic will cost $3 for every attendee. At most how many attendees can there be if Rita only budgets a total of $87 dollars for her graduation picnic?

Answers

To figure out how many attendees Rita can have at her picnic, we must divide the total amount that she has in her budget for her graduation picnic ($87) by the cost for every attendee ($3).

$87/$3 = 29

Therefore, Rita can have at most 29 attendees if Rita has the above cost parameters.

Hope this helps!

A carnival ride holds 30 people at a time. In one hour,220 people went on the ride. It was full each time
except the last. How many times was the ride
completely filled?

Answers

Answer:

Step-by-step explanation:

Final answer:

Given that a ride can hold 30 people at once, and that 220 people in total went on the ride, one minus the total number of people (to account for the last ride not being completely filled) divided by the total ride capacity gives us 7.3. This means the ride was completely filled 7 times.

Explanation:

To find out how many times the carnival ride was completely filled, we will divide the total number of people who went on the ride, by the maximum number of people the ride can hold at a time. However, we know that the last ride was not completely full, meaning there was at least one less person on the ride than it can hold, so we need to subtract 1 from the total number of people before proceeding.

So, we have: (220 people - 1) ÷ 30 people = 7.3. Since a ride can't be partially filled (i.e. 0.3 of a ride), we know that the ride was filled completely 7 times, and the remaining 0.3 represent the last, not completely filled ride.

Learn more about Division in Word Problems here:

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Geometry Question Number 16

Answers

Answer:

No, the friend is not correct.

Step-by-step explanation:

The friend is not correct because let's call the three lines line A, line B, and line C. The line intersection says that if two lines intersect, then there will be one point of intersection. Therefore, we have to count all pairs of lines between line A, B, and C. Lines A and B can intersect, lines B and C can intersect, and lines A and C can intersect. Therefore there will be 3 lines of intersection, not 2.

The linear equation of the initial (red ) incline would be y = __x +__

Answers

Answer:

$y=\underline {1.5}x+\underline 0$

Step-by-step explanation:

From the graph,

The initial red incline is a straight line passing through the origin.

So, a straight line passing through the origin is of the form:

$y=mx+0$

Where, 'm' is the slope.

Now, the slope of a given as the change in y value to change in x value.

Consider the two end points of the red line (0, 0) and (4, 6).

The slope with two points $(x_1,y_1)\ and\ (x_2,y_2)$ on the line is given as:

$m=((y_2-y_1))/((x_2-x_1))$

Plug in $x_1=0,y_1=0,x_2=4,y_2=6$ . Therefore, slope is:

$m=(6-0)/(4-0)\nm=(6)/(4)=1.5$

Hence, the equation of the initial red incline is:

$y=\underline {1.5}x+\underline 0$

Need help will mark Brainliest no explanation needed

Answers

I can’t see the whole problem but The triangle is SAS and it it is translated

if equal amounts of a 50% alcohol solution and a 20% alcohom somution are mixed, what percentage of the mixture is alcohol

Answers

Answer: 60%

Is NOT RIGHT

Step-by-step explanation:

I don’t know

Final answer:

To calculate the percentage of alcohol in the mixture, multiply the percentage alcohol by the volume of each solution, add the alcohol content of both solutions, and divide by the total volume of the mixture.

Explanation:

When equal amounts of a 50% alcohol solution and a 20% alcohol solution are mixed, the resulting percentage of alcohol in the mixture can be calculated using the following steps:

Calculate the alcohol content of each solution by multiplying the percentage alcohol by the volume in liters. The 50% alcohol solution has a content of 0.5 x volume, and the 20% alcohol solution has a content of 0.2 x volume.
Add the alcohol content of both solutions together to get the total amount of alcohol in the mixture.
Divide the total amount of alcohol by the total volume of the mixture to get the percentage of alcohol in the mixture.

For example, if we mix 1 liter of the 50% solution with 1 liter of the 20% solution, we would have a total volume of 2 liters. The alcohol content of the 50% solution would be 0.5 x 1 liter = 0.5 liters, and the alcohol content of the 20% solution would be 0.2 x 1 liter = 0.2 liters. Adding these together, we have a total alcohol content of 0.5 + 0.2 = 0.7 liters. Dividing this by the total volume of 2 liters gives us a percentage of 0.7/2 = 0.35, or 35% alcohol in the mixture.