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3 years ago

Solve the inequality. 6x + 14 > 20 ???????

Mathematics

1 answer:

Mumz [18]3 years ago

4 0

Answer:

x > 1

Step-by-step explanation:

6x + 14 > 20

-14 -14

6x > 6

/6 /6

x>1

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In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.

creativ13 [48]

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

$BP=\frac{1}{2}AC$

$DP=BP$

step 1

Find the value of x

$BP=\frac{1}{2}AC$

substitute the given values

$(-9x+19)=\frac{1}{2} (-x+21)$

solve for x

Multiply by 2 both sides

$-18x+38=-x+21$

$18x-x=38-21\\17x=17\\x=1$

step 2

Find the value of y

$DP=BP$

we have

$BP=-9x+19$

$DP=-y+5$

substitute

$-y+5=-9x+19$

substitute the value of x

$-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5$

5 0

3 years ago

Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,

Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

$0.08*0.6 + 0.4x = 0.2$

$0.4x = 0.2 - 0.08*0.6$

$x = \frac{0.2 - 0.08*0.6}{0.4}$

$x = 0.38$

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0

3 years ago

Mitch is replacing all the light bulbs in his home with energy efficient LED light bulbs. How many packages of 4 will he need to

lapo4ka [179]

C) 22

86/4 = 21.5
*5 Or more, raise the score*
(rounds to 22)
you should have 2 lightbulbs left over but you would be 2 lightbulbs short if you were to get 21 packages as opposed to 22

6 0

3 years ago

How do i reflect something on a grid?

Xelga [282]

Answer:

Think of reflect as looking in a mirror. The question should tell you how your reflecting. It might say "reflect the rectangle over the y axis" (Look at the attachment below to see example).

Step-by-step explanation:

I can help more if I see the question. But usually questions ask you to reflect over the y or x axis.

4 0

2 years ago

Tell whether the angles are adjacent or vertical. Then find the value of x.

krok68 [10]

Answer : The angles are vertical angles and the value of x is $25^o$

Step-by-step explanation :

Adjacent angles : It is defined as the two angles that have the common arm and common vertex.

Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.

And we know that the vertically opposite angles are equal.

In the given image, the angles are vertical angles and vertically opposite angles are equal.

So,

$(4x-25)^o=75^o$