MATHEMATICS MIDDLE SCHOOL

Which inequality is represented by the graph?Which point is a solution to the inequality?

Answers

Answer 1

Answer:

Answer:

$y > 2x + 0.75$

Step-by-step explanation:

We are given the following information:

The line in the graph passes through two points (0,0.75), (2,4.75)

We will find the equation of this straight line with the help of two point equation of straight line.

The equation of line is given by:

$(y-y_1) = \displaystyle(y_2-y_2)/(x_2-x_1)(x-x_1)$

where, $(x_1,y_1), (x_2.y_2)$ is the point through which the line passes.

The equation of line is:

$(y-0.75) = \displaystyle(4.75 - 0.75)/(2-0)(x-0)\n\n(y-0.75)= 2x\ny = 2x + 0.75$

This line is not a part of the shaded region. Also shaded region lies on the left side of the line.

Hence, the inequality represented by graph is:

$y > 2x + 0.75$

Out of the given points, (2,5) satisfies the above inequality.

$y > 2x + 0.75\n5 > 4 + 0.75 = 4.75$

Answer 2

Answer:

Answer:

The first answer is : y > 2x + (3/4)

The second answer is : (2, 5)

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The diameter of a cylinder is 3yd the height is 8yd

Answers

Answer:

volume= 56.55 yds

Step-by-step explanation:

If you're looking for the volume, the formula is $V=\pi r^(2) h$ .

Diameter is two times the radius (radius is half of the diameter) so the radius of the cylinder would be 1.5 yds.

After you've gotten that information, plug those values into the formula.

$V=\pi 1.5^(2) 8$

Solve 1.5^2 first. Then multiply that value by pi. Then multiply that value by the height which is 8yds.

Volume=56.55yds rounded to the nearest hunderedth.

Today is my exams guys. Pls helpA merchant borrowed Rs. 2000 from two money lenders. For one loan, he paid the interest at
8% per annum and for the other 6% per annum. The total
interest paid for one year was Rs. 135. How much did he
borrow at each rate?

Answers

Rs 750 was borrowed at 8 % interest rate and Rs 1250 was borrowed at 6 % interest rate

Solution:

A merchant borrowed Rs. 2000 from two money lenders

Let the sum at 8 % be x

Then, the sum at 6 % be 2000 - x

The total interest paid for one year was Rs. 135

8 % of x + 6 % of (2000 - x) = 135

$(8)/(100) * x + (6)/(100) * 2000 - x = 135\n\n0.08x + 0.06 (2000 - x) = 135\n\n0.08x + 120 - 0.06x = 135\n\n0.02x = 135 - 120\n\n0.02x = 15$

Divide both sides by 0.02

x = 750

Then,

2000 - x = 1250

Thus, Rs 750 was borrowed at 8 % interest rate and Rs 1250 was borrowed at 6 % interest rate

96 inches=_______feet?

Answers

12 inches = 1 foot
96 inches = x feet

12/96 = 1/x

Cross multiply

12x = 96 * 1

12x = 96

x = 96/12

x = 8

96 inches = 8 feet

X+ 1/x =5 what is the value x²+1/x²?

Answers

x+ 1/x= 5
⇒ (x+ 1/x)^2= 5^2
⇒ (x+ 1/x)^2= 25
⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25
⇒ (x^2+ 1/x^2)+ 2*1= 25
⇒ x^2+ 1/x^2= 25 -2
⇒ x^2+ 1/x^2= 23

The final answer is 23~

Write an explanation to a friend telling how to find a fraction that is equivalent to 3/5

Answers

to find a fraction equivalent to 3/5 multiply both top and bottom numbers by the same number .Example of answer 6/10.

Brad makes 4 keychains in an hour. Velma makes 3 keychains per hour, but she already has 6 keychains made how long will it take for brad and Velma to have the same amount.

Answers

Answer:

8 hours

Step-by-step explanation:

Did the Math, BROSKIE

Answer:

It will take Velma 4 hours and Brad 3 hours. In total 12 keychains.

Step-by-step explanation:

First I realized that I needed to find out wich number of keychains they would both land on and the first one was 12 so then I realized that 4 times 3 is 12 and 3 times 4 is 12.

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