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fiasKO [112]
3 years ago
7

The sum of four consecutive integers is 418. Find them.

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer: 103, 104, 105, and 106

Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.

First represent your 4 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

X + 3 ⇒ fourth integer

Since their sum is 418, our equation reads

x + (x + 1) + (x + 2) + (x + 3) = 418.

Simplifying on the left side we get 4x + 6 = 418.

Now we can subtract 6 from both sides of the equation and we have

4x = 412.

Now just divide both sides by 4 and we find that <em>x = 103</em>.

Finally, make sure you list all your answers.

If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106

Therefore, our 3 consecutive integers are 103, 104, 105, and 106.

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Hotdogs are $12.00 for the dozen or $1.00 each

Bratwursts are $18.00 for the dozen or $1.50 each

Step-by-step explanation:

4 0
3 years ago
The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.
Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: A=\pi r^2 where r is the radius

Plug in the area 43.25 cm²

43.25=\pi r^2

Divide both sides by π to isolate r²

\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2

Take the square root of both sides to isolate r

\sqrt{\frac{43.25}{\pi}} =r\\3.71=r

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

8 0
3 years ago
I'm solving for UW. And we're using pythagorean theorem.​
Alik [6]
UW = 45
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- 6^2 + x^2 = 9^2
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7 0
3 years ago
Read 2 more answers
() + -8= -6 what is the awnser
Mariana [72]

Answer:x=2

Step-by-step explanation:

change () to x

x + -8= -6

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5 0
3 years ago
The data were collected from a statistics class. The column head gives the​ variable, and each of the other rows represents a st
Basile [38]

Answer:

Gender is a categorical variable. The sum gives the total number of students in class.

Step-by-step explanation:

We are given the following in the question:

The variable​ Male, is​ categorical, even though its values are numbers.​

Categorical variable:

  • These variable are the non parametric variable.
  • They do not need values to express the data.
  • They only use number and numerical to express the data or represent the data.
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Thus, gender is a categorical variable. Numbers are only used to represent the data.

Numbers are just a representation.

The sum of these represent the total male and female students in class. Thus, the sum gives the total number of students in class.

8 0
3 years ago
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