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tino4ka555 [31]
3 years ago
7

The sum of four consecutive integers is 74. What is the first integer?

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

17

Step-by-step explanation:

Let x, x +1, x + 2, x + 3 be four consecutive integers.

\therefore \: x + x +1 +  x + 2 +  x + 3 = 74 \\  \therefore \: 4x + 6 = 74 \\  \therefore \: 4x = 74 - 6 \\  \therefore \: 4x = 68 \\  \therefore \: x =  \frac{68}{4}  \\  \huge \red{ \boxed{x = 17}}

Hence, first integer is 17.

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Divide 3584 by 28 and please explain
kakasveta [241]

Answer:

3584 \div 28 \\  \\  = 128

our post which explains the division of three thousand, five hundred and eighty-four by twenty-eight to you.

The number 3584 is called the numerator or dividend, and the number 28 is called the denominator or divisor.

The quotient of 3584 and 28, the ratio of 3584 and 28, as well as the fraction of 3584 and 28 all mean (almost) the same:

3584 divided by 28, often written as 3584/28.

Read on to find the result of 3584 divided by 28 in decimal notation, along with its properties

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 3584 divided by 28 = 128 R 0

The quotient (integer division) of 3584/28 equals 128; the remainder (“left over”) is 0.

3584 is the dividend, and 28 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of three thousand, five hundred and eighty-four over twenty-eight, followed by the summary of our information.

6 0
2 years ago
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0
3 years ago
Determine the image of the point (5, -2) under a rotation of 90 degrees about the origin.
Galina-37 [17]

90 degrees means 90 degrees counterclockwise.   So from the fourth quadrant we'll end up in the first quadrant.  X and Y get swapped and one negated, it must be the -2 becoming 2, so our image is

(2,5)

Answer: A


8 0
3 years ago
Name plane K using three noncollinear points.
tresset_1 [31]

Answer:

plane HNA, HMB, ANG ...

Step-by-step explanation:

Any combination of three points on plane K will work unless all three are on the same line.

7 0
2 years ago
Describe the transformation of y = f(x) for the new function
bixtya [17]
I think is letter A l hope it works.
3 0
3 years ago
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