Answer:
4.75 inches.
Step-by-step explanation:
We must introduce the symbols for inches and feet.
Here we will use, x' = x feet and x" = x inches
A high school track teams long jump record is 21 feet and
inches i.e. 21'2.25" this year.
Now, Tim's best long jump is 20 feet and
inches i.e. 20'9.5".
So, the difference between the record jump and Tim's best jump is
(21'2.25" - 20'9.5")
= (21'2.25" - 21') + (21' - 20'9.5")
= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}
= 4.75"
Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)
2a + 2b = c
Subtract 2a from both sides
2b = -2a + c
Divide both sides by 2
b = -a + (c/2)
Answer:
on my screen it sayes its 50938
Step-by-step explanation:
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
A hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.
X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174
substitute x = 4200 - y into 0.035x + 0.045y = 174
0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700
x + y = 4200
x = 4200 - 2700
x = 1500
answer
$1500 in <span>3.5%
$2700 in 4.5%</span>