Find the number between 30 and 70 that is divisible by 8, and when divided by 5 has a remainder of 1

Find three consecutive even integers if three times the first integer is two times the third.

drek231 [11]

Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the three consecutive even integers are represented by:

n, n + 2, n + 4

The first integer is two times the third, hence:

n = 2(n + 4)

2n + 8 = n

n = -8

Thus:

n = -8

n + 2 = -8 + 2 = -6

n + 4 = -8 + 4 = -4

The integers are -8, -6 and -4.

To learn more about system of equations, you can take a look at brainly.com/question/26650649

6 0

2 years ago

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A serving of a certain cereal has 8 grams of sugar in 1 portion. Which equation shows how the amount of sugar and the number of

STatiana [176]

8s = 1p.

Hope this helps!

5 0

3 years ago

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A car travels 30 1/5 miles in 2/3 of an hour. Whwt is the average speed, in miles per hour, of the car

LiRa [457]

Answer:

45 3/10 mph

Step-by-step explanation:

30 1/5 /2 = 15 1/10

15 1/10 x 3 = 45 3/10 mph

8 0

2 years ago

application. Line segment AB is a translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line

Svetllana [295]

Solid transformation is a method that requires a change in the length of sides of a given shape or a change in its orientation. Thus the required answers are:

i. Yes, line segment AB is the same as line segment CD.

ii. This implies that translation does not affect the length of a given line, but there is a change in its location.

Solid transformation is a method that requires a change in the length of sides of a given shape or a change in its orientation. Some types of transformation are reflection, translation, dilation, and rotation.

Dilation is a method that requires either increasing or decreasing the size of a given shape.
Translation is a process that involves moving every point on the shape in the same direction, and the same unit.
Reflection is a method that requires flipping a given shape over a given reference point or line.
Rotation requires turning a given shape at an angle about a given reference point.

Thus in the given question, translation would not affect the length of line segment AB, thus line segment AB and CD are the same. Also, A translated line segment would have the same length as its object, but at another location.

For more clarifications on translation of a plane shape, visit: brainly.com/question/21185707

#SPJ1

5 0

1 year ago

in a city of 88,000 people, there are 33,000 people under 25 years of age. What percent of the population is under 25 years of a

dalvyx [7]

37.5% is what I think the correct answer is sorry if its wrong

4 0

3 years ago