Answer:
3+d=q and 0.10d+0.25q=1.80
There are 3 dimes and 6 quarters.
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
We know there are three more quarters than dimes. We write that as 3+d=q.
We also know the total cost and the value of each coin. We write 0.10d+0.25q=1.80.
We substitute 3+d for q in the second equation.
0.10d+0.25(3+d)=1.80
0.10d+0.75+0.25d=1.80
0.35d+0.75=1.80
We isolate the variable by subtracting 0.75 across the equal sign and then dividing by the coefficient of d.
0.35d=1.05
d=3
There are 3 dimes.
Answer:
answer is x = ay + 12/4
Step-by-step explanation:
first we cross multiply on both sides which will give us this
4( x -3)=ay
we then open the brackets by multiplying 4 with x and -3 which gives
4x - 12= ay
then take 12 to the other side
4x - 12+12= ay + 12
4x = ay + 12
divide 4 on both sides
4x /4= ay + 12/ 4
therefore x = ay + 12/ 4
clear steps in picture
hope that can help
To get the mean distance that Jim jogged, you have to solve
for the total miles he was able to jogged divided by the number of days he
jogged.
6.5 miles + 5 miles + 3 miles + 2 miles + 3.5 miles + 4
miles = 24 miles / 6 days = 4
Therefore, the mean distance that Jim jogged is 4 miles.
I have no clue what this answer is but I hope you find it out
Answer:
Option (2).
Step-by-step explanation:
This question is incomplete; here is the complete question and find the figure attached.
In the diagram of a circle O, what is the measure of ∠ABC?
27°
54°
108°
120°
m(minor arc
) = 126°
m(major arc
) = 234°
By the intersecting tangents theorem,
If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.
m∠ABC = ![\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%20%7Bmajor%20arc%7BAC%7D%29%7D-m%28%5Ctext%7Bminor%20arc%7D%20%7BAC%7D%29%5D)
= 
= 54°
Therefore, Option (2) will be the answer.