MATHEMATICS HIGH SCHOOL

The quantity q varies inversely with the square of m and directly with the product of r and x. When q is 2.5, m is 4 and the product of r and x is 8. What is the constant of variation?5/8
5/4
5
10

Answers

Answer 1

Answer:

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

The quantity q varies inversely with the square of m and directly with the product fo r and x.

According to question,

$q=k(rx)/(m^2)\n\n\text{ where k denotes constant of variation}$

Since q=2.5, m=4, rx=8,

So, we put the value of all of theses in our above relation:

$q=k(rx)/(m^2)\n\n2.5=k(8)/(4^2)\n\n2.5=k(8)/(16)\n\n2.5=k(1)/(2)\n\n2.5* 2=k\n\n5=k$

Hence, Third option is correct.

Answer 2

Answer: q = k * (r*x)/m^2 ⇒ k = q*m^2 /(r*x)

k = 2.5 (4)^2 / 8 = 5

Answer: 5

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Write the translation rule that maps the pre-image to the image in the diagram.
(x, y) + (x – 7,y+8) (x,y) → (2 – 8,8 + 7) (x, y) + (+3, y – 7) (x, y) + (x + 7,9-8)

Answers

Answer:

the first one

Step-by-step explanation:

give me a brainley

Jerome bikes 5 miles in 20 minutes. ..
Find the number of miles he'll bike in 2 hours

Answers

Answer:

30 miles

Step-by-step explanation:

there are 60 minutes in an hour. if he rides 5 miles in 20 minutes, 20 time 3 is 60 so hes up to 15 miles then you add 4 more 20's to get to another 60 and that would be 30miles hope this heped!

5 miles by 20min

10miles by 40min

15 miles by 60 min

20 miles by 1hr 20min

25miles by 1hr 40 min

30 miles by 2hr

Answer:

200 miles

Step-by-step explanation:

distance = speed * time

speed = distance/time

time= distance/speed

We are finding the miles. That equals to distance. Which is speed * time. 5 * 20= 100.

It says after 2 hours. So, double that 100 to get 200.

Solve 19.9 = 9y - 8.

Answers

19.9=9y-8
+8
so it is
27.9=9y
÷9y
so your answer is
y=3.1

if solving for y, the answer would be y=3.1

What is the solution to the inequality??: 1 2 x + 8 ≤ 3

Answers

1/2x+8<3
isolate the x and divide so
subtract 8
1/2x<-5
multiply both sides by 2/1 to clear fraction
x<-10

The solution to the given inequality is determined as x ≤ -5/12

What is the solution to the inequality?

The solution of the inequality is calculated as follows;

The given inequality equation:

12x + 8 ≤ 3

Start by subtracting 8 from both sides of the inequality:

12x + 8 - 8 ≤ 3 - 8

12x ≤ -5

Divide both sides of the inequality by 12:

(12x)/12 ≤ (-5)/12

x ≤ -5/12

Thus, the solution to the given inequality is x ≤ -5/12

Learn more about inequality here: brainly.com/question/24372553

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The surface area of a cube is 1849 mm2. Which statements are true about the same cube measured in square centimeters?

Choose all answers that are correct.

A.The number representing the surface area would decrease.

B.The number representing the surface area would increase.

C.The actual surface area would decrease.

D.The actual surface area would increase.

E.The actual surface area would stay the same.

Answers

The correct statements are from letters A and E. The same cube when measured in square centimeters will still be the same cube. Only the number which represents the surface area will change and will decrease because the units are now in centimeters. The surface area would be 184.9 cm^2. The actual surface area of the cube will still be the same.

When f(x)=4, what is the value of x?

0
2
3
4