The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Answer:
5 gifts
Step-by-step explanation:
Given information:
- Cost of one gift = $4
- Total money = $50
- Money left after purchasing gifts = at least $28
Let x = greatest number of gifts James can buy
Create an inequality with the given information:
⇒ 50 - 4x ≥ 28
<u>Solve the inequality</u>
Add 4x to both sides:
⇒ 50 - 4x + 4x ≥ 28 + 4x
⇒ 50 ≥ 28 + 4x
Subtract 28 from both sides:
⇒ 50 - 28 ≥ 28 + 4x - 28
⇒ 22 ≥ 4x
Divide both sides by 4
⇒ 22 ÷ 4 ≥ 4x ÷ 4
⇒ 5.5 ≥ x
⇒ x ≤ 5.5
We must <u>round down</u> to 5 as if James buys 6 gifts, he will only have $26 remaining. Therefore, the greatest number of gifts James can buy is <u>5 gifts</u>.
Answer:
D
Step-by-step explanation:
To determine the scale factor calculate the ratio of corresponding sides, image to original, that is
= 
= 8 → D
Answer:
<h2>She was driving at 40.42 mph on average</h2>
Step-by-step explanation:
In this exercise, for us to find the speed that Chloe drives with we need to first convert the time she spent driving to hours completely since the time given is in hours and minute
Data
distance= 64 mile
time= 1hr 35min
to covert 1 hr 35 min to hours we have
= 1 + 35/60 (we are converting 35 min to hrs)
= 1+0.583
= 1.583
hence speed= 64/ 1.583
speed= 40.42 mph
She was driving at 40.42 mph on average
