MATHEMATICS HIGH SCHOOL

What is the result when x 3 + 7 x ^2 + 1 9 x + 2 1 x ^​3 ​​ +7x ​^2 ​​ +19x+21 is divided by x + 3 x+3?

Answers

Answer 1
Answer: Synthetic division shows the quotient to be x² +4x +7.

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What is the area of a regular hexagon with an apothem 8.7 yards and a side 10 yards long

Answers

Hello,
Forget the apothem (it is false)

The hexagon is composed of 6 isocele triangles having like base 10 and as height=√(10²-5²)=√75=5√3
The area of one triangle is 10*5√3/2=25√3
6 triangles:150*√3=212,13203... (yd²)

Kitchen chairs are purchased wholesale for $36 by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale?

Answers

As a result of the sale, two chairs can be purchased at the discounted price of $92.16.

After the store bought the chairs for $36, they gave it a markup of 60%. The new price is:

= Cost of chair + Markup

= 36 + (60% x 36)

= $57.60

They then reduced this price by 20%:

= Marked up price - Discount

= 57.60 - (20% x 57.60)

= $46.08

Two chairs are to be bought:

= 46.08 x 2

= $92.16

In conclusion, two chairs would cost $92.16

Find out more at brainly.com/question/18410539.
starts at 36....marks up by 60%
36 + 0.60(36) = 36 + 21.60 = 57.60
now they mark it down by 20%
57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08

46.08 * 2 = 92.16

a pack of toy cars contains 12 cars. if Sylvia buys only packs of 12, what are two possible numbers of cars that she could buy

Answers

Answer: 36 and 24

Step-by-step explanation:

Hi, since a pack of cars has 12 cars, if she buys only packs, the possible number of cars that she could buy will be multiples of 12.

Multiples of 12: 12,24,36,48,60,72,84,96,108,120, etc

We can pick any multiple of 12.

For example if she buys 3 packs of cars:

3 x 12 = 36 cars

If she buys 2 pack of cars:

2x12=24 cars

Feel free to ask for more if needed or if you did not understand something.

24, 36, 48 etc.. just keep adding 12

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?15h+9<110

15h+9>110

9h+15<110

9h+15>110

Answers

Let h = number of hours she worked on Monday
Given that she makes $9 per hour, it is 9 x h or 9h.
If her tips is a fixed $15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than $110, meaning she made more than $110 last monday.
The final inequality is: 9h + 15 > 110.

Answer:

Let h = number of hours she worked on Monday

Given that she makes $9 per hour, it is 9 x h or 9h.

If her tips is a fixed $15 amount, then we simply add 15.

9h + 15

This expression above is the amount she made last Monday.

Since she made no less than $110, meaning she made more than $110 last monday.

The final inequality is: 9h + 15 > 110.

Step-by-step explanation:

a new gym is being built at greenfield middle school. The length of the Gym is 12 inches on the builders blueprint. Find the actual length of the gym if the scale is 3/4 in = 5ft

Answers

Using scale conversion in mathematics, we set up a proportion based on the blueprint scale of 3/4 in equals 5 ft. Solving this proportion, we find the actual length of the gym is 80 feet.

In mathematics, this problem is about scale conversion.

The blueprint scale in this case is 3/4 in equals 5 ft.

To find out the actual length of the gym, we need to set up a proportion and solve for the missing value.

We know that 3/4 inches represents 5 feet on the actual gym.

According to the blueprint, the length of the gym is 12 inches.

First, let's set up the proportion: 3/4 in: 5 ft = 12 in: x ft.

Now we can cross multiply and solve for 'x'. (3/4) * x = 12 * 5, which simplifies to (3x/4) = 60.

Multiply both sides by 4 to isolate 'x': 3x = 240.

Finally, divide both sides by 3, we get x = 80.

Therefore, the actual length of the gym is 80 feet.

For more such questions on scale conversion, click on:

brainly.com/question/33515865

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a house plan is drawn to a scale of 1 cm=2 metres.What is the length of a window 1.5cm long on the plan?

Answers

1cm=2m therefore 1.5cm=3 meters because .5 is half of 1 and 1 is half of 2 enjoy!=)
Because 1 cm _ _ _ 2 metres ; 0.5 cm _ _ _ 1 metres ;
 1.5 cm _ _ _ 3 metres.
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