The solution of g+h≤11 is g≤4. What is the value of h?

Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of

IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for <em><u>3 hours and 36 minutes.</u></em>

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For $t$ hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = $t$ hours

Distance covered in $t$ hours = $Speed\times time=17\times t =17t\ miles$

So, time for which Brady rides at 22 miles/ hour = $(4-t)$ hours

Distance covered in $(4-t)$ hours = $Speed\times time=22\times(4-t) =(88-22t)\ miles$

Total distance can be given as:

⇒ $17t+88-22t$

Simplifying.

⇒ $-5t+88$

Total distance given =70 miles.

Thus, the equation to find $t$ can be given as:

$-5t+88=70$

Subtracting both sides by 88.

$-5t+88-88=70-88$

$-5t=-18$

Dividing both sides by -5.

$\frac{-5t}{-5}=\frac{-18}{-5}$

∴ $t=3.6$ hours

$3.6\ hours = 3\ hour+ (0.6\times 60)\ minutes = 3\ hour\ 36\ minutes$

Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

6 0

3 years ago

HELP ILL GIVE BRAINLIEST PLS QUICK

saveliy_v [14]

Answer:

Y =2X +2

y = 2(13) + 3

y = 29 after 13 months

Step-by-step explanation:

x1 y1 x2 y2

0 2 2 6

(Y2-Y1) (6)-(2)= 4 ΔY 4

(X2-X1) (2)-(0)= 2 ΔX 2

slope= 2

B= 2

Y =2X +2

3 0

2 years ago

A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other

Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

4 0

3 years ago

Read 2 more answers

Functions math, please help.

kozerog [31]

Y intercept is (0,-7). slope is 2.

Change the function to y=mx+b format first. m=slope and plug in 0 as x to get y intercept.

8 0

2 years ago

How many pairs of whole numbers equal a sum of 40

spayn [35]

There are infitine pairs

4 0

3 years ago