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3 years ago

The sum of three consecutive integers is 84. Find the integers If the smallest integer is x, the equation will be

Mathematics

1 answer:

lions [1.4K]3 years ago

7 0

The three consecutive integers are 26, 28, and 30. Hope this helps!

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Another way to write 300 + 70 + 5/10 + 8/100

Taya2010 [7]

Answer:

Step-by-step explanation:

Sorry i haven't been on much, btw.

5 0

3 years ago

The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b

mel-nik [20]

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic model that represents the approximate height in meters of the ball $f(x)=-5x^2 +200$ . the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting $f(x)=50$ and solving for x.

Then:

$50=-5x^2 +200$

Subtract 200 from both sides:

$-200+50=-5x^2 +200-200\\-150=-5x^2$

Divide both sides by -5:

$\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2$

Apply square root to both sides:

$\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x$

The ball is 50 meters from the ground after about 5.48 seconds.

3 0

4 years ago

In the equation below, what is the first step? <br> 18- 3x =12

murzikaleks [220]

Answer:

Subtract 18 from both sides

Step-by-step explanation:

4 0

3 years ago

Share 56 sweets in the ratio 2 : 5.

kherson [118]

Answer is 16:40

Add up the parts of the sweets so 2+5=7.
Then with the total amount (56)/7=8.
8x2= 16
8x5=40

5 0

3 years ago

(2³)² solve this problem

max2010maxim [7]

Answer:

$(2^3)^2 = 64$

Step-by-step explanation:

Option 1:

Using the following rule:

$(a^n)^m = a^{nm}$

Put in our expression,

a = 2

n = 3

m = 2

$(a^n)^m = a^{nm}$

$(2^3)^2 = 2^{3*2}=2^6=64$

Option 2:

Using the following rule:

$a^n * a^m = a^{n+m}$

Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.

$(2^3)^2 = 2^3 * 2^3$

If we compare this with $a^n * a^m$ , we can see that

a = 2

n = 3

m = 3 (in this case, n and m are equal)

$a^n*a^m = a^{n+m}$

$2^3*2^3 = 2^{3+3} = 2^6 = 64$

Answer: $(2^3)^2 = 64$

7 0

3 years ago