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devlian [24]
3 years ago
7

Three consecutive numbers have a sum of 36. What are the numbers?

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

11,12,13

Step-by-step explanation:

x is the first number

x+1 is the second number

x+2 is  the third number

x+ x+1+x+2 = 36

Combine like terms

3x+3 = 36

Subtract 3 from each side

3x+3-3= 36-3

3x = 33

Divide by 3

3x/3 = 33/3

x = 11

The numbers are 11, 11+1, 11+2

11,12,13

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Find the slope for a line perpendicular to y= -5/3x+7
aleksley [76]

Answer:

3/5

Step-by-step explanation:

To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line y=-5/3x+7  is m = 3/5. Step 2: Use the slope to find the y-intercept.

3 0
3 years ago
Which of the following pairs of expressions could represent consecutive odd numbers?
iVinArrow [24]
N and n+2 because if n=1 then you do 1+2 and that equals 3. So then you have 1,3
3 0
4 years ago
What is the measure of x?
Sveta_85 [38]

Answer:

Hello!

After reviewing the problem you have provided I have come up with the correct solution:

x= 9

Step-by-step explanation:

To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)

So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).

To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.

I then use this ratio to figure out the missing length of the larger triangle by doing:

6inches x 2.5 = 15inches.

I then inputed the 15inches into the formula of the missing side:

x+6=15

Subtracted 6 from both sides to simplify, and came up with the solution!

x=9

Let me know if this helps!

4 0
2 years ago
A sheet metal manufacturer is making 10-gauge sheet metal, which is supposed to be 3.416 mm thick. One of the pieces of manufact
satela [25.4K]

Answer:

Step-by-step explanation:

We need to evaluate if thickness of a 10 gauge metal sheet is a requiered in the process that means   3.416 mm thick. So that should be our null hypothesis;  μ₀ = 3.416    and based on sample data, we will formulate an alternative hypothesis taking into account the mean, and standard deviation obtained. We surely will have better  information to take a decision

4 0
3 years ago
Which of the following transformations maps A to A’ in the figure below
LenKa [72]

Answer:

The answer is rotation 270° about the origin

Step-by-step explanation:

If (x , y) is a point in xy-coordinates

If the point rotate about the origin ⇒ (The positive direction is anti-clockwise)

1- 90°

  Its image is (-y , x)

2- 180°

   Its image is (-x , -y)

3- 270°

   Its image is (y , -x)

If we assume A is (1 , 7)

1- ⇒ (-7 , 1) ⇒ rotation 90° about the origin

2- ⇒ (-1 , -7) ⇒ rotation 180° about the origin

3- ⇒ (7 , -1) ⇒ rotation 270° about the origin

∵ x-coordinate of point A small and +ve and y-coordinate large and +ve

∵ x-coordinate of point A' large and +ve and y-coordinate small and -ve

∴ The answer is rotation 270° about the origin

∴ The answer is rotation 270° about the origin

8 0
3 years ago
Read 2 more answers
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