Let Q= the number of quarters and D= the number of dimes.
Q+D= 40 coins
0.25Q+0.1D= $7.75
Rewrite equation 1 as: D = 40-Q and substitute into equation 2
0.25Q+0.1(40-Q)= 7.75 Simplify the left side
0.25Q+4-0.1Q= 7.75 Subtract 4 from both sides
0.25Q-0.1Q= 3.75 Convime like terms on left side
0.15Q= 7.75 Divide both sides by 0.15
Q=25 and D= 40-Q
D= 40-25 which is 15
So Jenna had 25 quarters and 15 dimes.
<span>To check multiply 25 x 25 and 15x10 which equals 625 and 150 this equals 775 so this is 7.75</span>
Interest rates on mortgages are lower because the home is <span>collateral</span>
Um I'm good that looks so confusing sorry. TwT
Answer:
50.80 cm^3
Step-by-step explanation:
the polyhedron is a rectangular pyramid
Volume of a rectangular pyramid = 1/3 x ( width x height x length)
1/3 ( 4 x 5 x 3) = 20 inches
we need to convert inches to cm
1 in = 2.54 cm
20 x 2.54 = 50.80 cm^3
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
