1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KonstantinChe [14]
3 years ago
5

Please help me if you can. Please also write how you got the answer thank you.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0

Answer:

The three numbers are 341, 342, and 343

Step-by-step explanation:

We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 1026

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 1026

3X + 3 = 1026

3X + 3 - 3 = 1026 - 3

3X = 1023

3X/3 = 1023/3

X = 341

Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.

341 + 342 + 343 = 1026

We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.

You might be interested in
On a map, there are 3 centimeters between two cities. The actual distance between the cities is 45 kilometers.
elena-s [515]

Step-by-step explanation:

3cm on map = 45 km

1 cm on map = Xkm

Xkm = 45 / 3

Xkm = 15km

Therefore scale = 1:15000

7 0
3 years ago
Read 2 more answers
Three divided by four
muminat

Answer:

0.75

Step-by-step explanation:

3/4=0.75

Hope this helps! :)

8 0
3 years ago
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (G ▪ H) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2
Eddi Din [679]

Answer:

The correct answer is (5 - 7)^2

Step-by-step explanation:

To find this, start with the outermost equation g(x).

g(x) = x^2

Now put the next equation (h(x)) in for x in this equation.

(G ▪ H)(x) = (x - 7)^2

Now, put the number in for x in the equation given.

(G ▪ H)(x) = (5 - 7)^2

4 0
3 years ago
Read 2 more answers
12 + 4x > 24 or 10 - 12x > 22
Wewaii [24]

Answer:

10 - 12 × > 22 Yan Yong sagot

8 0
3 years ago
15. Suppose a box of 30 light bulbs contains 4 defective ones. If 5 bulbs are to be removed out of the box.
Naddika [18.5K]

Answer:

1) Probability that all five are good = 0.46

2) P(at most 2 defective) = 0.99

3) Pr(at least 1 defective) = 0.54

Step-by-step explanation:

The total number of bulbs = 30

Number of defective bulbs = 4

Number of good bulbs = 30 - 4 = 26

Number of ways of selecting 5 bulbs from 30 bulbs = 30C5 = \frac{30 !}{(30-5)!5!} \\

30C5 = 142506 ways

Number of ways of selecting 5 good bulbs  from 26 bulbs = 26C5 = \frac{26 !}{(26-5)!5!} \\

26C5 = 65780 ways

Probability that all five are good = 65780/142506

Probability that all five are good = 0.46

2) probability that at most two bulbs are defective = Pr(no defective) + Pr(1 defective) + Pr(2 defective)

Pr(no defective) has been calculated above = 0.46

Pr(1 defective) = \frac{26C4  * 4C1}{30C5}

Pr(1 defective) = (14950*4)/142506

Pr(1 defective) =0.42

Pr(2 defective) =  \frac{26C3  * 4C2}{30C5}

Pr(2 defective) = (2600 *6)/142506

Pr(2 defective) = 0.11

P(at most 2 defective) = 0.46 + 0.42 + 0.11

P(at most 2 defective) = 0.99

3) Probability that at least one bulb is defective = Pr(1 defective) +  Pr(2 defective) +  Pr(3 defective) +  Pr(4 defective)

Pr(1 defective) =0.42

Pr(2 defective) = 0.11

Pr(3 defective) =  \frac{26C2  * 4C3}{30C5}

Pr(3 defective) = 0.009

Pr(4 defective) =  \frac{26C1  * 4C4}{30C5}

Pr(4 defective) = 0.00018

Pr(at least 1 defective) = 0.42 + 0.11 + 0.009 + 0.00018

Pr(at least 1 defective) = 0.54

3 0
3 years ago
Other questions:
  • Instructions:Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
    13·2 answers
  • The water level in the aquarium's shark tank is always greater than 25 feet. If the water level decreased by 6 feet during clean
    7·1 answer
  • A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i
    7·1 answer
  • A research company performed a study of Machiavellian traits in accountants. Machiavellian describes negative character traits t
    11·2 answers
  • 64 - 9p for p=4,9,-3
    15·2 answers
  • Solve each inequality, justifying each step you use x-5<35
    14·1 answer
  • Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent. is chuck corre
    7·1 answer
  • C) Which of these numbers is a square number?
    10·1 answer
  • Real Co. Candy<br> 5 candy bars for $2.49<br> Or<br> Elegant Chocolate<br> 20 candy bars for $8.79
    7·1 answer
  • Find the value using x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!