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2 years ago

The sum of three consecutive natural numbers is 1020, find the numbers.

Mathematics

1 answer:

VLD [36.1K]2 years ago

7 0

Answer:

339, 340, 341

Step-by-step explanation:

To find the 3 consecutive numbers, divide the sum by 3 to get the average. 1020/3=340. So the middle number is 340. That means the numbers are 339, 340, and 341.

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Nat2105 [25]

Answer:

30 centimeters.

Step-by-step explanation:

The scale between the rectangles is 1 to 3, so the larger one is three times bigger than the smaller one, that is, all the sides of the rectangle are three times bigger.

So, We know that the formula to calculate the perimeter of a rectangle is:

P = 2L + 2W

Where P is the perimeter, L is the lenght and W is the width.

If the lenght and the width of the bigger rectangle are three times bigger, we have that its perimeter, related to the perimeter of the smaller rectangle, will be:

(bigger rectangle: P1, L1 and W1; smaller rectangle: P2, L2 and W2)

P1 = 2*L1 + 2*W1 = 2*3*L2 + 2*3*W2 = 3*(2*L2 + 2*W2) = 3*P2

If P1 = 90 centimeters, we have that:

90 = 3*P2 -> P2 = 30 centimeters.

The perimeter of the smaller rectangle is 30 centimeters.

7 0

3 years ago

Find the x-intercept(s) Round to nearest hundredth if needed y=-2x^2-8x-4

kherson [118]

y=-2x^2-8x-4

-2x^2-8x=4

divide by negative 2

x^2+4x=-2

complete the square

(x+2)^2=-2+4

(x+2)^2=2

x+2=± $\sqrt{2}$

x=-2± $\sqrt{2}$

nearest hundreths,

x=-0.59

x=-3.41

6 0

3 years ago

2. A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its rec

GaryK [48]

Answer:

Ther has been an increase in the selling time.

Step-by-step explanation:

Step 1. Specify the null hypotesis

In this case, we have to demonstrate that the selling time is now different than before the drought.

$H_{0}: \mu=90\\H_{1}: \mu\neq 90$

Step 2. Choose a significance level

In this problem, is 0.10

Step 3. Compute the mean

In this case, the mean of the sample is 94.

Step 4. Compute the probability value (p) of obtaining a difference between the mean of the sample and the hypothesided value of μ.

$t=\frac{M-\mu}{s/\sqrt{N}} =\frac{94-90}{22/\sqrt{100} }=\frac{4}{2.2} = 1.818$

The degrees of freedom are calculated as (N-1) = (100-1) = 99. Then we can look up in the t-table (http://davidmlane.com/hyperstat/t-table.html) to calculate the probability value of a t of 1.818 with 99 degrees of freedom. The value of this probability is 0.05.

Step 5. Compare the P-value (0.05) with the significance level (0.10). Since the P-value is less than the significance level, the effect is significant.

Since the effect is significant, the null hypotesis is rejected.

It is concluded that the mean of the selling time has changed (increase) from its previous value.

7 0

3 years ago

Factor each expression

Savatey [412]

43) (2n - 1) • (n + 2)<span>
44) (g - 17) • (2g - 1)
45) (2m + n) • (3m + 11n)
46) </span>(g - 17) • (2g - 1)

5 0

4 years ago

What good with it mayne! Please help yo boy out with the dis math question?

nadya68 [22]

Answer:

1.9

Step-by-step explanation:

Use triginometry to find the side length. So cosθ= $\frac{?}{2}$ . Rearrange the equation so it looks like 2cosθ=?. We are given θ (20 degrees) so 2cos(20degrees)=?.

3 0

3 years ago