Answer: the jar contains 29 dimes and 25 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarters is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes contained in the jar.
Let y represent the number of quarters contained in the jar.
A jar containing only dimes and quarters contains a total of 54 coins.. This means that
x + y = 54
The value of all the coins in the jar is $9.15. This means that
0.1x + 0.25y = 9.15 - - - - - - - - - - - 1
Substituting x = 54 - y into equation 1, it becomes
0.1(54 - y) + 0.25y = 9.15
5.4 - 0.1y + 0.25y = 9.15
- 0.1y + 0.25y = 9.15 - 5.4
0.15y = 3.75
y = 3.75/0.15 = 25
x = 54 - y = 54 - 25
x = 29
Answer:
23
Step-by-step explanation:
Answer:
-7 is your answer
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.
4 + y = -3
Subtract 4 from both sides
4 (-4) + y = -3 (-4)
y = -3 - 4
y = -7
-7, or (D) is your answer
~
Answer:
Line TB is congruent to line BR.
B is the midpoint of line TR.
Line TB plus line BR is equal to or congruent to line TR.
*wink face lol*
Answer:
Step-by-step explanation:
Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,
Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>
and ,
Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>
Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,
And the slope of the second line is ,
Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>
Multiply ,
Multiply both sides by a ,
Divide both sides by -1 ,
<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>