Answer:
F=48
Step-by-step explanation:
see the explanation and workings in the picture above.
Answer:
Step-by-step explanation:
x-2=24 x=26
Answer:
The answer is below
Step-by-step explanation:
Mrs. Fielder decides to build a small snow shelter for her children to wait in before the school bus arrives in the morning. She has only enough wood for a total perimeter of 20 feet.
a. Make a table of all the whole number possibilities for the length and width of the shelter. Find the area of each shelter.
b. What dimensions should Mrs. Fielder choose to have the greatest area in her shelter?
c. What dimensions should Mrs. Fielder choose to have the least area in her shelter?
d. Township building codes require 3 square feet for each child in a snow shelter. Which shelter from part (a) will fit the most children? How many children is this? Explain your reasoning.
Solution:
a) Let W represent the width of the school shelter and let L represent the length of the school shelter. Therefore:
Perimeter of the school shelter = 2(length + breadth)
20 = 2(L + W)
L + W = 10
Also, the area of the school shelter = L * W
Length (ft) Width (ft) Area(ft²) = length * width
1 9 9
2 8 16
3 7 21
4 6 24
5 5 25
b) The shelter with a length of 5 ft and width of 5 ft has the largest area.
c) The shelter with a length of 1 ft and width of 9 ft has the least area.
d) The 4 by 6 ft shelter can hold 8 children (24 ft² / 3 ft² = 8) and the 5 by 5 ft shelter can hold 8 children with an extra space (25 ft² / 3 ft² = 8.33).
Answer:
see the explanation
Step-by-step explanation:
we know that
A linear function in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept
x is the independent variable or input value
f(x) is the dependent variable or output value
In this problem we have
where
m is the number of miles
f(m) is the cab company's fare in dollars
we have that
In this context
<em>Slope</em>
The slope or unit rate is equal to the cost per mile for the riders trip
The slope is $3 per mile
<em>Y-intercept</em>
The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.
The y-intercept is $5
X=12.5
If the perimeter is 90
90=3x+3x+15
Combine like terms
90=6x+15
Subtracts 15 from both sides
75=6x
Divide by six to get x by itself
12.5=x
Does this help?
