Answer:
feet
Step-by-step explanation:
The total change is the sum of the length of two boards she cut.
First board length is 1 7/8th feet. Let's change to improper fraction:
1 7/8 = 15/8 feet
Second board lengrh is 3.5 feet, or 3 1/2 feet. Let's change to improper fraction:
3 1/2 = 7/2 feet
Let's add the two:
The change in original board is 43/8 feet
Answer:
c(t) = 25 +12 * t
where t is the number of shirts
Step-by-step explanation:
The total cost for the shirts is the flat fee plus the cost per shirt times 150 shirts
total = fee + cost per shirt* shirts
1825 = 25 +c*150
where c is the cost per shirt
We need to determine the cost per shirt by subtracting 25 from each side
1825-25 = 150c
1800 =150c
Divide by 150 on each side
1800/150 =150c/150
12 =c
Each shirt costs 12 dollars
We want to make the function in terms of cost per shirt
c(t) = 25 +12 * t
where t is the number of shirts
Answer: the height of the trapezoid is 6 cm
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6 cm
b = 8.5 cm
If the area of the cut out is 43.5 cm², then
53.5 = 1/2(6 + 8.5)h
Cross multiplying by 2, it becomes
43.5 × 2 = (6 + 8.5)h
87 = 14.5h
h = 87/14.5 = 6 cm
Answer:
10.45
Step-by-step explanation:
To solve it without the calculator:
First, you multiply 4.75 times 0.2 (0.95)
Then you multiply 4.75 times 2 (9.5)
Then you add the 2 numbers to get the answer.
0.95 + 9.5 = 10.45
With the calculator, just put in the 2 numbers and click enter!
Answer:
6^-13
Step-by-step explanation:
The rule for multiplying numbers with the same base but different exponents is a^b*a^c=a^(b+c), so in this case we have 6^(-4+(-9)) which is 6^-13
Hope this helped!
