The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

Answers

Answer 1

Answer: lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

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Answer with explanation:

The linear function is given by:

$y=1.2x$

where y represents Alberto's speed in meters per minutes.

when his stride rate is x steps per minute.

We know that for any linear function of the type:

$y=mx+c$

m represents the slope and c represents the y-intercept of the function.

Here m=1.2 and c=0

i.e. the slope represents the stride rate of Alberto i.e. the rate at which he is walking.

and the y-intercept represents the speed of Alberto when he took 0 steps i.e when x=0.

It represents that his speed is 0 meter per minutes when he did not took any step.

The slope is the rate in which he is moving and the y-intercept is where he started (at 0 seconds and 0 meters).

What is the solution?. 1/2x2 – x + 5 = 0

Answers

1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0
$x= (-b\pm√(b^2-4ac))/(2a)$ ; where a = 1, b = -2 and c = 10
$x=(-(-2)\pm√((-2)^2-(4*1*10)))/(2*1)\n=(2\pm√(4-40))/(2)\n=(2\pm√(-36))/(2)\n=(2\pm6i)/(2)\n=1\pm3i$
Therefore, x = 1 + 3i or x = 1 - 3i

The curtis car traveled an average of 21 miles per gallon of gas. At that rate, how far could the car travel on a full tank of 21 gallons

Answers

(21 miles/gallon) x (21 gallons) = 21 x 21 = 441 miles

Rate = 21 miles per gallon.
No. of gallons = 21

Distance = Rate x No. of Gallons

= 21 x 21

= 441

Thus, the curtis car can travel 441 miles at the rate of 21 miles per gallon

Find the product: (5x + 5y) (x + 4y)A. 4x2 +22ry - 12y2
B.5x2+ 20y2
c.5x2 + 25xy + 20y2
D. 35x2 - 54ry + 16y2

Answers

Answer:

Step-by-step explanation:

Henry can write 5 1/4 pages of his novel in 3 hours how many page can he write in 8 hours

Answers

If you would like to know how many pages can Henry write in 8 hours, you can calculate this using the following steps:

5 1/4 = 21/4 pages ... 3 hours
x pages = ? ... 8 hours

21/4 * 8 = 3 * x
21 * 2 = 3 * x
3 * x = 42
x = 42 / 3
x = 14 pages

Henry can write 14 pages of his novel in 8 hours.

school x and school y play eachother in a competition school x has eight more points than school y school x has three times as many points as school y. how many points does each school have?