The sum of three consecutive numbers is 117. find the largest of the numbers

Answers

Answer 1
Answer: consecutive means right after each other
difference of 1
numbers are
x,x+1,x+2
their sum is 117
x+x+1+x+2=117
add
3x+3=117
subtract 3 form both sides
3x=114
divide both sides by 114
x=38
largest number is x+2
38=x
x+2=38+2=40

largest number is 40
Answer 2
Answer: Divide 117 by three to get the middle name number, then you subtract one and add one to 1 of the three 39's to get your numbers as 38, 39, 40. And the largest number. Is 40. Hope this helped.

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WRITE 0,000003 56 IN SCIENTIFIC NOTATION ​

Answers

Answer:

3.56X10^-6

Step-by-step explanation:

In converting numbers to scientific notation, simply move the decimal point of the number until the numerical coefficient is greater than 1 but less than 10. Be sure to take note of the following:

1. The numerical coefficient.

2. Number of times we move the decimal point. It will be the exponent with the base of 10.

3. The direction we take in moving the decimal point. If the direction is to the right, take the negative sign for the exponent. If the direction is to the left, take the positive sign for the exponent.

Here, we move the decimal point of 0.00000356 to the right 6 times. So, we have now 3.56X10^-6.

Prove that 2x^2+x+8>0 for all real values of x.

Answers

y = 2x^2 + x + 8 is a polynomial of even degree, with a positive x^2 coefficient, meaning that
- it will have exactly one turning point
- that turning point will be a minimum

So, if the y-coordinate of the turning point is positive, then this polynomial will be positive for all real values of x.

At a turning point, the gradient of y will be equal to 0. The gradient of y is given by 
\frac{\mathrm{d}y}{\mathrm{d}x} = 4x + 1.

To find the turning point, set this equal to 0 and solve for x:
4x + 1 = 0 \implies x = -(1)/(4).

Substituting this value into the equation gives
y = 2(-(1)/(4))^2 + (-(1)/(4)) + 8 = (1)/(4) - (1)/(4) + 8 = 8 \ \textgreater \ 0.

Since the minimum point of the equation is greater than 0, the equation will be greater than 0 for all real values of x.

Quadrilateral ABCD quadrilateral WXYZ. If AD = 12, DC = 6, and ZY = 36, find WZ.

Answers

The value of WZ in the given similar polygons, is 72

What are similar polygons?

When polygons are similar their corresponding angles are congruent and their corresponding sides are proportional.

Given that, quadrilateral ABCD and quadrilateral WXYZ are similar,

The order of the proportionality statement tells us which angles and sides are corresponding.

To solve, set up a proportion.

AD/WZ = DC/ZY

12/WZ = 6/36

Cross multiply.

6(WZ) = 12x36

6(WZ) = 432

Divide both sides by 6

WZ = 72

Hence, the value of WZ is 72

Learn more about similar polygons click;

brainly.com/question/24464711

#SPJ2

Answer: C. 72

Step-by-step explanation:

A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the number chosen is divisible by 5 or 8. 1/25

2/5

11/25

Answers

There are 25 even integers between 2 and 50 (2,4,6,...,50).
Among them, there are 5 numbers divisible by 5 (10,20,30,40,50), 6 divisible by 8 (8,16,24,32,40,48), and 1 divisible by 5 and 8 simultaneously (40).

The last means these two events are not mutually exclusive. So, if

A - the event of choosing a number divisible by 5,
B - the event of choosing a number divisible by 8,

the probability of choosing a number divisible by 5 or 8 is equal to
P(A\cup B)=P(A)+P(B)-P(A\cap B)

So,
P(A\cup B)=(5)/(25)+(6)/(25)-(1)/(25)\nP(A\cup B)=(10)/(25)\n\boxed{P(A\cup B)=(2)/(5)}


7÷3×5x÷12. Can someone help me multiply rational expressions and divide rational expressions? Please and thank you.

Answers

In this case, because there are no exponents or brackets, (BEDMAS) you would just do it in the order given. 

7÷3×5x÷12= 7×1/3 × 5x × 1/12
To divide, make the numbers after the divide sign into fractions.(ex: 3= 1/3)
Then multiply it out:
                = 7/3 × 5x/12
                = 35x/34
Then because the numerator is bigger then the denominator, make the improper
fraction into a mixed fraction:
                = 1 1x/34

Hope this helps! 
7 ÷ 3 · 5x ÷ 12
7 ÷ 15x ÷ 12
7 ÷ 5x/4
28x/5

Plz quick! 100 ptsA shade of green palnt is to be mixed with 3 parts blue and 2 parts yellow. Ten gallons of green palnt are to be mixed. How many gallons of yellow palnt must be used?

a. 2
b. 4
c. 6 2/3
d. 5​

Answers

Answer:

Hmm I think D but don't take my word for it just a guess

Step-by-step explanation: