Answer:
12 dimes and 18 nickels
Step-by-step explanation:
Equations given by word problem:
n + d = 30
0.05n + 0.1d= 2.10
How I solved them:
d= 30 - n
0.05n + 0.1(30 - n)= 2.10
0.05n + 3 - 0.1n= 2.10
-0.05n= -.09
Divide both sides by -0.05
n= 18
18 + d = 30
d= 12
Answer:
x = 1/3
Step-by-step explanation:
Perform the indicated multiplication:
Clear out the fractions. The LCD here is 12, so multiply both sides by 12, obtaining:
3(3x - 1) = 24x - 8, or
9x - 3 = 24x - 8
Combining like terms, we get 5 = 15x, so that x = 1/3.
If you follow is rule : P(x,y)>180° rotation>P'(-x,-y). the negative signs doesn't mean to make it negative but to change it to the opposite sign. If it's positive it goes to negative. And if it's negative is goes to positive. The rotated image would have the points: (1,2) (4,4) (3,7)
Step-by-step explanation:
since we know, she can run 360 ft per minute, and we want to know how many minutes she would need to run 500 yards we need to find out how often 360 ft fit into 500 yards.
so,
500 yards / 360 ft
how can we make this division ?
help is given to us by taking us that 1 yard = 3 ft.
aha !
so, 500 yards = 500×3 ft = 1500 ft
therefore, our task now looks like
1500 ft / 360 ft
and this we understand and can do, right ?
1500 / 360 = 150/36 = 75/18 = 4 3/18 = 4 1/6 minutes
the closest answer option is therefore 4.2, meaning she would take about 4.2 minutes to run 500 yards.
