MATHEMATICS COLLEGE

Solve for n+4 + n/6=16​

Answers

Answer 1
Answer:

Answer:

n = 10.286      aprox.

Step-by-step explanation:

n+4 + n/6 = 16

n/6 = 16 - 4 - n

n = 6(12-n)

n = 6*12 + 6*-n

n = 72 - 6n

n + 6n = 72

7n = 72

n = 72/7

n = 10.286       aprox.

verify:

10.286 + 4 + (10.286/6) = 16

14.286 + 1.714 = 16

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The Point (0,0) is a solution to which of these inequalities?

Answers

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

a)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

b)

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

c)

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

d)

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Perform the following calculation: (+10) + (–45). A. 55 B. –55 C. –35 D. 35

Answers

Answer:

Option C - (+10) + (-45)=-35

Step-by-step explanation:

Given : Expression (+10) + (-45)

To find : Perform the calculation in the given expression ?

Solution :

Step 1 - Write the expression

=(+10) + (-45)

Step 2 - Applying multiplication symbol rule,(+)(-)=(-)

=10-45

Step 3 - Solve the subtraction,

=-35

Therefore, Option C is correct (+10) + (-45)=-35

Mr. Hoya brought 5 watermelons from his grocery store. The watermelons weighed 8.25 pounds, 9.25 pounds, 8.875 pounds, 9.625 pounds and 10.75 pounds. At the party, 153 people each ate a 0.25 pound serving of watermelon. Was the amount of leftover watermelon less than, greater than, or equal to 8.5 pounds? Explain how to solve the problem.

Answers

The first thing we must do for this case is to find the total weight of the watermelons.
 We have then:
 W = 8.25 + 9.25 + 8.875 + 9.625 + 10.75 W = 46.75 pounds
 We now look for the amount of watermelons that people ate.
 We have then:
 (0.25) * (153) = 38.25 pounds
 Therefore, the amount of watermelon remaining is:
 46.75 - 38.25 = 8.5 pounds
 We note that the amount of watermelon remaining is equal to 8.5 pounds.
 Answer:
 the amount of leftover watermelon is: equal to 8.5 pounds
Answer:
The amount of leftover watermelon is equal to 8.5 pounds

Explanation:
1- getting the total weight of the watermelon:
The total weight of the watermelon will be the summation of the weights of the 5 watermelons he bought.
This means that:
Total weight = 8.25 + 9.25 + 8.875 + 9.625 + 10.75
Total weight = 46.75 pounds

2- getting the weight of the eaten watermelon:
We know that at the party, there were 153 people and each ate 0.25 of a pound of watermelon.
This means that:
amount eaten = 153 * 0.25
amount eaten = 38.25 pounds

3- getting the weight of the leftover:
weight of leftover = total weight - amount eaten
We have:
Total weight = 46.75 pounds
amount eaten = 38.25 pounds
Therefore:
weight of leftover = 46.75 - 38.25
weight of leftover = 8.5 pounds

Hope this helps :)

What is the y intercept of the line -9x+3y=18

Answers

y = 6

hope this helps

Answer: (0, 6)

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Question is −9x + 3y = 18

Our first step would be is to find y which will be done by 3y = 18.

Part 1

Step 1: Enter y equation.

3y = 18

Step 2:Simplify.

y = 6

Now that we have our y, we need to find our X. We can do this by plugging in y, which is 6 into the equation to find X.

Part 2

Step 1: Enter the X equation by plugging in y.

−9x + 3(6) + 18

Step 2:Simplify.

−9x + 18 = 18

Step 3:Simplify.

−9x = 18 − 18

Step 4:Simplify.

(-9x)/(-9) = (0)/(-9)

Step 5: Simplify.

x = 0

Because 0 is our X coordinate and 6 is our Y coordinate, we will need to have the X and Y coordinates in parentheses, So (x, y) would be (0, 6). And there you go we have the answer. Good luck!

~I hope I helped you! :)~

The diagonals AC and BD of the convex quadrilateral ABCD with area 28 intersect each other at point O. The lines which are parallel to the diagonal AC come through the midpoints of segments BO and DO . Find the area of the portion of the quadrilateral that is between those lines.

Answers

Answer:

21

Step-by-step explanation (note, the suggested way is not the shortest one):

all the details are in the attached picture.

A trust is an agreement whereby a person or bank manages the estate according to the specific directions of the owner of the estate. True False

Answers

Answer:

false

Step-by-step explanation:

No its held ny you or someone else

Answer:

False

Step-by-step explanation:
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