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AlladinOne [14]
3 years ago
8

suppose there are three consecutive intergers.if two times the first is added to twice the middle, the results is 69 minus the l

argest number. what is the largest number?
Mathematics
1 answer:
belka [17]3 years ago
3 0
3 consecutive means
x, x+1, x+2
OR
x, x-1, x-2

the equation based on givens and first equation is:

2(x) + 2(x+1) = 69 - (x+2)
4x + 2 = 67 - x
5x = 65
x = 13

so the largest would be x+2 or 15
You might be interested in
Help pls!<br> simplify<br> -6 x^{2} ÷ 12 - 2(-7)<br><br> a. -17<br> b. 35<br> c. -35<br> d. 11
Mariana [72]

Answer:

11

Step-by-step explanation:

Given: \frac{-6^{2}}{12} -2(-7)

Using PEDMAS rule to solve it.

Now, simplifying:

We first open parenthesis which is (-7) = -7

= \frac{-6^2}{12}-2\times -7

Now, we evaluate the exponent which is -6^2=-36

Next, we divide -36 by 12 to get -3

= \frac{-36}{12}-2\times -7 \\= -3 -2\times -7

Next, we multiply -2 and -7 to get 14

= -3 + 14

Lastly, we add -3 and 14 to get 11

= 11

∴ Answer is 11

5 0
3 years ago
I will name you the brainliest ! Which point represents -(-10) on the number line?
Anna007 [38]

Answer:

e

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Volume of a cone = r²h,
inessss [21]

Answer:

7.5 m           457.5\pi m^{2}

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = \frac{1}{3} \pi r^{2}h.

Original Cone = \frac{1}{3} \pi r^{2}h = \frac{1}{3} \pi *7.5^{2}*50 = 937.5\pi

Smaller Cone = \frac{1}{3} \pi r^{2}h =  \frac{1}{3} \pi *6^{2}*40 = 480\pi

Frustum = 937.5\pi - 480\pi = 457.5\pi

6 0
2 years ago
What two numbers multiplies to 36 and add to negative 21
anastassius [24]
Factor 36 and add them, make sure both are negatie
1+36=37, nope
2+18=20 nope
3+12=15,nope
4+9=13, nope
6+6=12, nope

the closest one is 20

I hope you meant adds to -20, because if you did, then answer is -2 and -18

if you did mean 36 and adds to -21, then the numbers are \frac{-21-3 \sqrt{33} }{2} and \frac{-21+3 \sqrt{33} }{2}, aprox -19.1168 and  -1.8831
6 0
3 years ago
Over the three evenings,Karen received a total of 137 phone calls at the call center. The third evening, she received 4 times as
marin [14]

Answer:

1st: 22, 2nd: 27, 3rd: 88

Step-by-step explanation:

Make an equation

If she recieved x calls the 1st evening, then the 2nd evening she recieved x+5, and the 3rd evening she recieved 4x.

x+x+5+4x=137

Combine like terms

6x+5=137

Subtract 5 from both sides

6x=132

Divide by 6 on both sides

x=22

First:

22 calls

Second:

x+5

22+5

27 calls

Third:

4x

4*22

88 calls

Hope this helps!

3 0
2 years ago
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