Answer:
The cashier has 23 dimes and 16 quarters.
Step-by-step explanation:
Let the amount of dimes = d.
And the amount of quarters = q.
We can write 2 equations with the given information.
d = q + 7 --- the amount of dimes is 7 more than the amount of quarters
0.1d + 0.25q = 6.3 --- a dime is 0.1 dollars and a quarter is 0.25 dollars
0.1(q + 7) + 0.25q = 6.3 --- we can substitute q + 7 for d because they have the same value and we need to have only 1 variable to solve
0.1q + 0.7 + 0.25q = 6.3 --- distribute multipliers outside the parenthesis
0.35q + 0.7 = 6.3 --- combine like terms
0.35q = 5.6 --- subtract 0.7 from both sides
q = 16 --- divide both sides by 0.35
The cashier has 16 quarters. We can use this to solve for dimes.
d = q + 7
d = 16 + 7
d = 23
The cashier has 23 dimes and 16 quarters.
0.1d + 0.25q = 6.3
0.1(23) + 0.25(16) = 6.3
2.3 + 4 = 6.3
6.3 = 6.3
The answer is correct.
98. Because 53+45=98 and then the sum of all the angles are 180 so 180-98=82 and then 180-82 to get X is 98.
Would assume this to be: n² + 50
First term, n=1, n² + 50 = 1² + 50 = 1*1 + 50 = 1 + 50 = 51
Second term, n=2, n² + 50 = 2² + 50 = 2*2 + 50 = 4 + 50 = 54
Third term, n=3, n² + 50 = 3² + 50 = 3*3 + 50 = 9 + 50 = 59
First three terms are: 51, 54, & 59.
Answer:
It isn’t true that corresponding cross-sections have the same area.
Step-by-step explanation:
I got it off of khan academy.
Answer:
When we have a graph of a function y = f(x) = 10^x
A vertical dilation can be made by multiplying the function by a scale factor a.
Then the dilated graph is y = g(x) = a*10^x
This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).
You can look for easy points to see which is the correct graph.
For example, when x = 0, f(0) = 10^0 = 1
and the dilated graph: x = 0, g(0) = a*10^0 = a
So other characteristic of the new graph is that passes trhough the point (0, a)