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Lynna [10]
3 years ago
14

2x – бу = 12 -5x - 15 = -30

Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

x=7 and y= 1/3

Step-by-step explanation:

we have -5x - 15 = -30 <=> x + 3 = 10

                                            x= 7

if x=7

so 2×7 - 6y = 12 <=> 14 - 12 = 6×y

                                 2 = 6y

                                 y= 2/6 = 1/3

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The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that app
Katyanochek1 [597]

The unit measurement of the a volume in mm is mm³(millimetres cube.)

<h3>How to find volume ?</h3>

Volume is is defined as the space occupied within the boundaries. The objects are usually solid objects.

The volume of a 3 dimensional figure is the product of the base area and the height.

Therefore, the units of volume is measured in cubic units.

The volume of a prism with side lengths measured in millimetres is 20.

Therefore, the measurement can be represented as follows:

20 mm³

learn more on volume here: brainly.com/question/16310824

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4 0
2 years ago
Molly is converting 2 yards to millimeters. Will the number of millimeters be fewer than or greater than 2?
ololo11 [35]
Greater than.

yards are a larger unit of measurement, so to convert it there are more millimeters to count the same amount of space.
7 0
3 years ago
Mr. Kohl has a breaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives ea
77julia77 [94]

Answer:

There were 26 students in his class and the teacher had 83 ml of the solution.

Step-by-step explanation:

Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters  and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:

x = 3*n + 5

(x + 21)/n = 4

x + 21 = 4*n

x = 4*n - 21

Now that we have two equations and two variables we can solve the system of equations, as seen bellow:

3*n + 5 = 4*n - 21

3*n - 4*n = -21 - 5

-n = -26

n = 26

x = 4*26 - 21 = 83 ml

There were 26 students in his class and the teacher had 83 ml of the solution.

3 0
3 years ago
A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill
SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

35d+45t=300...(1)

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

6d+8t=42...(2)

6d=42-8t...(2)

Therefore, our desired system of equation will be:

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6d=42-8t...(2)  


8 0
3 years ago
Find the ratio of the volume of one sphere to the volume of the right cylinder
yarga [219]

Answer:

B


Step-by-step explanation:

<em>Let r be the radius of one sphere.</em>

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Since radius is r,  the height of the cylinder will be 4r

Also, the cylinder has the same radius as the sphere: r


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Plugging in the values we get: V=\pi (r)^{2}(4r)=4\pi r^3


<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:

\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}

The ratio is 1:3

Answer choice B is right.

5 0
3 years ago
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