Answer:
Step-by-step explanation:
Given
The table
Required
Determine the constant of proportionality (k)
Represent the time with T and the amount of water with W
k is calculated as follows;
Pick any corresponding values of W and T
So
<em>Hence, the constant of proportionality is 5</em>
Answer:
Step-by-step explanation:
Given
Required
Round up to highest place value
Highest place value here is thousand.
So:
, when approximated
Highest place value here is ten thousand.
So:
, when approximated
Highest place value here is ten thousand.
So:
when approximated
Highest place value here is ten thousand.
So:
when approximated
Highest place value here is ten thousand.
So:
when approximated
Answer:
10 In.²
Step-by-step explanation:
Formula for height of trapezoid: 2a ÷ (b1 + b2)
B1: 3, B2: 7
Area: 50
7 + 3 = 10
50 · 2 = 100
100 ÷ 10 = 10
Height of trapezoid: 10 In.²
Check:
Formula for area of trapezoid (using height): A = (B1 + B2 / 2) · h
Base1: 3, Base2: 7
7 + 3 = 10
10 ÷ 2 = 5
5 · 10 = 50
Area = 50, therefore we know that our height is correct.
Answer:
Lee has 19 nickels and 8 dimes
Step-by-step explanation:
hello, I think I can help you with this
Step 1
Let
value of a nickel=$0.05
value of a dime=$0.10
number of nickels=N
number of nickels=D
According to the question data Lee has $1.75 in dimes and nickels.
0.05N+0.1D=1.75,equation(1)
also, the number of nickels is 11 more than the number of dimes.mathematical speaking
N=11+D,equation(2)
Step 2
replace N from equation (2) into equation (1)
0.05N+0.1D=1.75
0.05(11+D)+0.1D=1.75
Now, solve for D
0.55+0.05D+0.1D=1.75
0.15D=1.75-0.55
D=1.2/0.15
D=8
Step 3
replace the value of D into equation(2) to obtain N
N=11+8
N=11+8
N=19
Hence, Lee has 19 nickels and 8 dimes
Have a great day.
