D=dimes
q=quarters
d + q = 20
.10d + .25q = 3.05
d=-q + 20
.10(-q + 20) +.25q = 3.05
-.10q + 2 + .25 = 3.05
.15q + 2 = 3.05
.15q + 2 - 2 = 3.05 - 2
.15q = 1.05
.15q/.15 = 1.05/.15
q = 7
d + 7 = 20
d + 7 - 7 = 20 - 7
d = 13
Sally has 7 quarters and 13 dimes.
Hope this helps!
We have a system of equations 2x - 4y = 5 and 6x - 3y = 10.
We want to eliminate one variable when we add up the equations.
If we want to eliminate the x variable, we need to multiply the top, bottom or both of the equations with a number that when the equations are added together will eliminate the x variable.
Multiply the top equation by -3.
-3(2x - 4y) = 5 * -3
-6x + 12y = -15
Now when we add the two equations together, the x's will be eliminated.
-6x + 12y = -15
6x + 6y = 10
18y = -5
The x's were eliminated.
Answer:
0.756
Step-by-step explanation:
It is given that a machine has four components, A, B, C, and D.

If these components set up in such a manner that all four parts must work for the machine to work properly.
We need to find the probability that the machine works properly. It means we have to find the value of
.
If two events X and Y are independent, then

Assume the probability of one part working does not depend on the functionality of any of the other parts.

Substitute the given values.



Therefore, the probability that the machine works properly is 0.756.
Answer: Third option.
Step-by-step explanation:
These are some transformations for a function f(x):
If
, then the function is shifted down "k" units.
If
, then the function is shifted right "k" units.
Knowing this we can describe the transformation from the graph of the function
to the graph of the function
. This is:
The function
is the function
but shifted right 3 units and shifted down 1 units.
Therefore, the correct option is the third one.
Answer:
angles r 50°&40°
Step-by-step explanation:
- 2p+p+15=90°
- 3p=90°-15°
- 3p=75°
- p=75°/3
- p=25°
2p=2×25=50°
p+15=25+15=40°
<h3>stay safe healthy and happy.</h3>