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dlinn [17]
2 years ago
11

The sum of the first 1 million primes is N. Without knowing N's value, one can determine that the ones'digit of N cannot be

Mathematics
1 answer:
insens350 [35]2 years ago
3 0
All primes are odd, except two. Therefore the sum of the first million primes is one even number plus 999999 odd numbers. Since odd*odd = odd, the first million primes must be even + odd = odd.

An odd number obviously has an odd final digit, so the only option that can be firmly rules out is b (which is even).
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A graph represents the perimeter ,y, in units for an equilateral triangle with the side lengths x units. The slope of the line i
kicyunya [14]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

<u><em>The correct question is</em></u>

Explain what the slope and intercept mean in each situation.

A graph represents the perimeter,y, in units, for an equilateral triangle with side length x units. The slope of the line is 3 and the y-intercept is 0

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem

y is the perimeter in units

x is the side length of a equilateral triangle

we have

m=3\\b=0

substitute

The linear equation is

y=3x ---> Is a proportional relationship because the line passes through the origin

see the attached figure to better understand the problem

<u><em>Explanation</em></u>

The slope is ---> m=\frac{3}{1}\frac{units}{unit}

That means

The ratio of perimeter of triangle to side length of triangle is 3:1

The y-intercept is 0

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this context

The y-intercept is the value of the perimeter when the value of the side length is equal to zero

so

The value of the perimeter is 0 when the value of side length is 0

3 0
2 years ago
Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3
kvv77 [185]
The correct answer is d. Please give me brainlest I hope this helps let me know if it’s correct or not okay
5 0
2 years ago
A builder was building a fence. In the morning, he worked for 2/5 of an hour. In the afternoon, he worked for 9/10 of an hour. H
Bas_tet [7]

Hey there! I'm happy to help!

We want to see how many times bigger 2/5 is than 9/10. Let's call how much bigger 2/5 is b and solve below.

9/10b=2/5   (2/5 is b times larger than 9/10)

We divide both sides by 9/10, so your division would be 2/5÷9/10.

b=4/9

Therefore, the builder worked 4/9 times as long in the morning as he did in the afternoon.

Have a wonderful day! :D

4 0
2 years ago
Read 2 more answers
Find the distance between the points L(7, -1) and M(-2, 4).
VLD [36.1K]

Answer:

(5-5)

Step-by-step explanation:

hope this helped

5 0
2 years ago
You want to paint a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. There
Nataly_w [17]
Answer:
3 hours

Explanation:
1) Set an expression for each of the studios we can set out variable as h for hours because that is the unknown value.

Studio A: 10+8h
Studio B: 16+6h

To find out how many hours would pass for their costs to equal each other, we have to make them literally equal each other.

10+8h=16+6h

Now that we have an equation, we can start solving.

10+8h=16+6h
Combine like terms
10-16=6h-8h
-6=-2h
2h=6
Divide both sides by 2 to isolate h
2h/2=6/2
h=3

I hope this helped! If it did, a brainliest would be much appreciated :)
5 0
2 years ago
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