Answer:16 quarters and 3 dimes
Step-by-step explanation:
430/25 (Quarters) = 17
25x16
(Because you can’t have 17 since 25x17=425 leaving no room for dimes.)
=400
Now 430-400=30
30 more cent is needed,
30/10(Dime value)
Is 3, so the answer is the man has 16 quarters and 3 dimes
Step-by-step explanation:
Solve for xsin3⁡x+cos3⁡x=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xsin3x+cos3x=1xsin3x+cos3x=1
sin3⁡x+cos3⁡x=1(sin⁡x+cos⁡x)(sin2⁡x−sin⁡x⋅cos⁡x+cos2⁡x)=1(sin⁡x+cos⁡x)(1−sin⁡x⋅cos⁡x)=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">sin3x+cos3x=1(sinx+cosx)(sin2x−sinx⋅cosx+cos2x)=1(sinx+cosx)(1−sinx⋅cosx)=1
We are technically FOILing this out... with a power of 3.
(x+y)(x+y)(x+y)
So we can first factor out the first two "x+y"s.
, multiplied by the last "x+y".
Coefficients are the number that comes
in front of a variable. In this case, 1 comes in front of
, 3 comes in front of
, 3 comes in front of
, and 1 comes in front of
.
Thus: 1, 3, 3, 1.
Answer Choice A
24 + x = 68 so 68-24=x.
68-24=44
Sarah's mother is 44