Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
1/16 cup..........................1 tablespoon
1 1/2= 3/2 cups................x tablespoons
1/16*x=3/2
x= 3/2 : 1/16=3/2*16= 24 tablespoons he needs
Answer:
The measure of
is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
<em>"On a unit circle, the terminal point of </em>
<em> is </em>
<em>. What is </em>
<em>?"</em>
The measure of the angle (
), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form
is determined by the following inverse trigonometric function:
(1)
If we know that
and
, then the measure of
is:


The measure of
is 30°.
The answer at least i think is a
Answer:
x=-4
Step-by-step explanation:
Divide both sides by 1/4
(x+12)=2 (2 divided by 1/4 =8)
(x+12)=8
Subtract 12 from both sides
x=-4 (parenthesis disappears after 12 is subtracted)