Answer:
4r + 4(r + 3) = 68
r = 7 miles per hour
r + 3 = 10 miles per hour
Step-by-step explanation:
distance = rate * time
a)
4r + 4(r + 3) = 68
Distribute
4r + 4r + 12 = 68
8r + 12 = 68
8r = 56
r = 7 miles per hour
r + 3 = 10 miles per hour
The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
<em>Given that :You need 3 sticks of butter for every 24 giant cookies you bake.</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
<em> x 16</em>
<em>5 y</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Let the unknown be x and y..</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 24/3 = 8</em>
<em>Since the number of cookies is 16 then 16/8 = 2</em>
<em>Thus x = 2</em>
<em>Next for y.</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 5 * 8 = 40</em>
<em>Thus, y = 40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Completed table below:</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
2 <em> 16</em>
<em>5 </em><em>40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<u><em>~lenvy~</em></u>
<em />
Answer:
-5,4
Step-by-step explanation: