Answer:
Gabby received
7 nickels
10 dimes
3 quarters
Step-by-step explanation:
Let
x----> the number of dimes
y----> the number of nickels
z---> the number of quarters
Remember that
1 dime=$0.10
1 nickel=$0.05
1 quarter=$0.25
we know that
0.10x+0.05y+0.25z=2.10 ------> equation A
x=y+3-----> equation B
z=y-4 -----> equation C
substitute equation B and equation C in equation A and solve for y
0.10(y+3)+0.05y+0.25(y-4)=2.10
0.10y+0.30+0.05y+0.25y-1=2.10
0.40y=2.10-0.30+1
0.40y=2.80
y=7 nickels
<em>Find the value of x</em>
x=y+3 -----> x=7+3=10 dimes
<em>Find the value of z</em>
z=y-4 -----> z=7-4=3 quarters
therefore
Gabby received
7 nickels
10 dimes
3 quarters
Answer:32
Step-by-step explanation:
Answer:
(h o k)(3)= 3
(K o h)(-4b)= - 4b
Step-by-step explanation:
Composition of a function and its inverse function returns the input
(h o k)(3)= 3
(K o h)(-4b)= - 4b
Answers:
Angle T = 79 degrees
Angle V = 14 degrees
=========================================================
Work Shown:
T + V = 93
(2x+85) + (5x+29) = 93
7x+114 = 93
7x = 93-114
7x = -21
x = -21/7
x = -3
This x value is used to find each angle mentioned.
- Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
- Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees
As a check, T+V = 79+14 = 93 which confirms our answers.
Answer:
B
Step-by-step explanation:
its because the intersection of two lines is (4,2)
