Archy: 15 gallons ... $23.85
1 gallon ...$ x = ?
x * 15 = 1 * 23.85 /15
x = 23.85 / 15
x = $1.59 per gallon
Joe: 16 gallons ... $24.48
1 gallon ... $ y = ?
y * 16 = 1 * 24.48 /16
y = 24.48 / 16
y = $1.53 per gallon
Result: Joe paid less per gallon.
Answer:

Step-by-step explanation:
we know that
The area of the trapezoid is equal to

step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD

step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD

step 4
Find the area of ABCD

we have

substitute


C) Y^2=16
Because the two numbers combined to get 16 are:
4 x 4 = 16
Or
-4 x -4 = 16
Answer:
Length: 23.38
Width: 3.34
Step-by-step explanation:
First I drew out a diagram so that I could visibly see the problem. [ a rectangle with 7x on one side and x on the other.
So to find the area you multiply length time width and 7x times x is 7x^2. The actual area is given: 78, so you set that equal to 7x^2.
Then you want to divide by 7 to get 11.14. Then you want to take the square root of 11.14 to get 3.338 which rounds to 3.34 {try not to round until the very end]. This gives you the width of the rectangle, so to find the length you would have to multiply x by 7 to get 23.38. When you multiply the length and width (3.34 x 23.38) you get 78.08 which can round to 78.
7x^2 = 78
x^2 = 78/7
x^2= 11.142...
x = sqrt(1.142...)
x = 3.338 --> 3.34 --> width
3.34 x 7 --> 23.38 --> length
3.34 x 23.38 --> 70.8
Answer:
No
Step-by-step explanation:
The volume of a cube is the cube of the edge length, so the edge length of the cube-shaped block is ...
edge length = ∛(64 cm³) = 4 cm
Then the smallest cross-section will be a square of edge length 4 cm, so will have an area of (4 cm)² = 16 cm².
The 16 cm² shape will not fit through an 8 cm² hole.