MATHEMATICS MIDDLE SCHOOL

A restaurant has 10 stools at the counter and several tables with 4 chairs each. If n represents the number of tables, which equation can you use to find how many tables are needed to seat 90 customers in the restaurant

Answers

Answer 1
Answer:

Answer:4n+10=90

Step-by-step explanation:
Answer 2
Answer:

n * 4 + 10 and n equals 20

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How can you use negative numbers to repel resent real-world problems?

Answers

-4000 minus  -999999 other numbers
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

Phyllis solved the compound inequality 16 ≤ 2(3x – 1) < 28. She began by first breaking the inequality into two separate inequalities, then she correctly solved each for x. Which graph represents her solution? A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5. A number line with an open circle at 3 with a bold line pointing to the right stopping at the point 5. A number line with a point at 3 with a bold line pointing to the left and an open circle at 5 with a bold line pointing to the right. A number line with an open circle at 3 with a bold line pointing to the left and a point at 5 with a bold line pointing to the right.

Answers

Answer:

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5.

Step-by-step explanation:

Phyllis solved the compound inequality 16\le2(3x-1) < 28. She began by first breaking the inequality into two separate inequalities 16\le 2(3x-1) and 2(3x-1)<28, then she correctly solved each for x:

1) 16\le 2(3x-1):

Rewrite this inequality:

2(3x-1)\ge 16

Divide by 2:

3x-1\ge 8

Add 1:

3x-1+1\ge 8+1\n \n3x\ge 9

Divide by 3:

x\ge 3

2) 2(3x-1)<28:

Divide by 2:

3x-1<14

Add 1:

3x-1+1<14+1\n \n3x<15

Divide by 3:

x<5

The solution to the compound inequality are all values of x which are greater than 3 or equal to 3 and less than 5. So, you have to plot point at 3, draw a bold line to 5 and plot open circle at 5. Hence, option

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5

is true.

The answer to your question would be A.  

Hope you have a nice day!

120 meals to 52 meals. Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

If you would like to find the percent of change, you can calculate this using the following steps:

x% of 120 meals is 52 meals
x% * 120 = 52
x/100 * 120 = 52
x = 52 * 100 / 120
x = 43.3%

100% - 43.3% = 56.7%

The percent of change is 56.7%.

If $535 is invested at an interest rate of 6% per year and is compounded continuously, how much will the investment be worth in 10 years?$1307.12
$974.83
$973.38
$403.43

Answers

A = Pe^rt , e = 2.718

A = 535 * (2.718)^(10 * 0.06)
A = 974.83

answer is $974.83

Compound Interest can be defined as the interest that is accumulated on a particular sum of money or investment after a given period of time.

The investment will be worth $974.83 in 10 years.

The formula to solve for the amount an investment will be worth if it is compounded continuously is given as:

A = Pe^rt

P = Principal = $535

R = Interest rate = 10%

T = Time in years = 10 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = Pe^rt

A = 535(2.71828)^(0.06 x10)

A = $974.83

Therefore, the investment will be worth $974.83 in 10 years.

To learn more, visit the link below:

brainly.com/question/24793452

In playing from the tee, a golfer hooks his drive (hits the ball to the left of the correct direction) at an angle of 24 from the intended direction. He estimates that he has driven the ball 215 yards and that it lies 100 yards from the hole. Assuming his estimates are correct, what is the distance from the tee to the hole, to the nearest yard?

Answers

Answer:

245 yards

Step-by-step explanation:

You could say the tee is at (0, 0) and the hole lies on the x-axis.

The path of the ball is the straight-line so, y = tan(24°)x

215cos(24°) = 196.4

215sin(24°) = 87.4

The ball lands at coordinates (196.4, 87.4).

They say the ball lands 100 yards from the hole, the hole is on a circle of radius 100 that is centered at (196.4, 87.4).

Equation of the circle:

(x-196.4)² + (y-87.4)² = 100²

Since the hole is on the x-axis, it lies at the intersection of the circle and the line y = 0 so:

(x - 196.4)² + (0 - 87.4)² = 100²

x = 244.92

The distance between tee and hole is 245 yards.

Answer:

245 yards

Step-by-step explanation:

Which is the better buy? A 12 pack of Pepsi for $3.50 or a 6 pack for $1.80?

Answers

Answer:

The 12 pack.

1.80×2=3.60

6 pack of pepsi is $1.80

12 divided by 6 is 2.

1.80 x 2 is 3.60

If you buy two of the 6 pack pepsis, it would have 12 pack of pepsi but would cost $3.60. If you buy the 12 pack, it would be $3.50 so it would be the 12 packs being the better deal.

*note* I'm stupid so I would probably buy the 6 packs twice ;(
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