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vazorg [7]
2 years ago
15

The sum of three consecutive numbers is 45. What is the largest of these numbers?

Mathematics
1 answer:
Arturiano [62]2 years ago
8 0

Answer:

14,15,16

Step-by-step explanation:

a+a+1 +a+2=45

3a+3 =45

3a=45-3

3a=42

a=42:3 =14(the first number

14+1=15 (the second number

14+2=16 (the third number, the largest number

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Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the
nordsb [41]

Answer:

Greater than (>)

Step-by-step explanation:

Last week, Jason ran 26.1 miles.

He wants to run further this week.

<u>Distance Run this week</u>

  • 2.4 miles to the park,
  • Four times around the park= 4p (if distance around the park is p miles)
  • 2.4 miles back from the park.

Total Distance this week =2.4+4p+2.4

Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:

Total Distance covered this week > Total Distance Last week

2.4+4p+2.4>26.1

Jason should use the greater than inequality sign.

4 0
3 years ago
Read 2 more answers
What is the square root
shusha [124]

Answer:

Step-by-step explanation:

Trying to factor as a Difference of Squares :

1.1      Factoring:  r2-96

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 96 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 r2 - 96  = 0

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    r2-96 = 0

Add  96  to both sides of the equation :

                     r2 = 96

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     r  =  ± √ 96  

Can  √ 96 be simplified ?

Yes!   The prime factorization of  96   is

  2•2•2•2•2•3

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 96   =  √ 2•2•2•2•2•3   =2•2•√ 6   =

               ±  4 • √ 6

The equation has two real solutions  

These solutions are  r = 4 • ± √6 = ± 9.7980  

Two solutions were found :

                  r = 4 • ± √6 = ± 9.7980

Processing ends successfully

4 0
3 years ago
The Statue of Liberty is approximately 300 ft. tall, and the right arm is approximately 42 ft. long. On a scale model that is 2
Archy [21]

Answer:

Weight of copper: 62,000 lbs. (31 tons). Weight of framework: 250,000 lbs. (125 tons). Weight of concrete foundation: 54,000,000 lbs. Thickness of copper sheeting: 3/32 of an inch, the thickness of two pennies placed together.  the answer in 125

Step-by-step explanation:

4 0
2 years ago
Please help! :))
denis23 [38]

Answer:

Check below

Step-by-step explanation:

Hi,

We're dealing with linear functions. f(x)=mx+b

We have here the first function.

g(x)=3x

That's a linear function, with slope, and no linear coefficient since

But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.

Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one

h(x)=3(9x-2) \rightarrow h(x)= 27x-6\\i(x)=9(3x-2)\rightarrow i(x)=27x-18\\j(x)=3(9x+2)\rightarrow j(x)=27x+6 \\k(x)=9(3x+2)\rightarrow k(x)=27x+18\\

A possible solution would be adjusting any of these, whose operation would result in g(x)=3x, but

Like

y=9(\frac{3x}{9}-2)+18 =3x

4 0
3 years ago
Make x the subject of the formula y= 2x +5
Kryger [21]

Answer:

x= (y-5)/2

Step-by-step explanation:

Isolate the x variable.

y= 2x +5

Subtract 5 from both sides.

y-5=2x

Divide both sides by 2.

(y-5)/2= x

5 0
2 years ago
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