How do you evaluate 1.5x + 120 ≥ 270

A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used

barxatty [35]

I hope this helps you

5 0

2 years ago

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Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation

Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

$(2x + 7) = 4$

To Find : how many bags he needs?

Solution :

$(2x + 7) = 4$

$2x=-3$

$x=-\frac{3}{2}$

Now we are given that Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

Substitute the value of x

$B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)$

$B=8.5$

Hence 8.5 bags are needed.

3 0

2 years ago

Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number

Dmitry [639]

Answer:

Part a) $2,50,18$

Part b) When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For $x=2$

$\sqrt{2}*\sqrt{2}=\sqrt{4}=2$ -----> the product is an integer

so

The number $x=2$ could be Jenny favorite positive integer

2) For $x=50$

$\sqrt{50}*\sqrt{2}=\sqrt{100}=10$ -----> the product is an integer

so

The number $x=50$ could be Jenny favorite positive integer

3) For $x=18$

$\sqrt{18}*\sqrt{2}=\sqrt{36}=6$ -----> the product is an integer

so

The number $x=18$ could be Jenny favorite positive integer

Part B)

1) For $x=2$

$\sqrt{2}/\sqrt{2}=\sqrt{1}=1$ -----> the result is an integer

2) For $x=50$

$\sqrt{50}/\sqrt{2}=\sqrt{25}=5$ -----> the result is an integer

3) For $x=18$

$\sqrt{18}/\sqrt{2}=\sqrt{9}=3$ -----> the result is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

4 0

2 years ago

A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2

Romashka [77]

Answer:

The answer is approximately 5.09 seconds.

Step-by-step explanation:

The given equation is:

f(x) = -5x^2 + 250

To find the elapsed time, x, set the equation equal to 120 and solve for x:

-5x^2 + 250 = 120

-5x^2 = -130

x^2 = -130/-5 = 26

x = Sqrt(26) = 5.09 seconds.

8 0

2 years ago

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In a second grade class containing 13 girls and 9 boys, 2 students are selected at random to give out the math papers. What is t

Finger [1]

13/22 x 9/21 = 0.25

8 0

2 years ago

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