Answer:
- Total value in cents = 51p+5n
- Total value in dollars = (51p+5n)/100
The answer varies depending if your teacher wants the answer in cents only, or in dollars only.
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Explanation:
- p = number of pennies
- n = number of nickels
- 2p = number of quarters, since we have twice as many quarters compared to pennies.
Based on that, we know,
- p = number of cents from the pennies (1 penny = 1 cent)
- 5n = number of cents from the nickels (5 nickels = 5 cents, multiply both sides by n)
- 25(2p) = 50p = number of cents from the quarters
and ultimately
p+5n+50p = 51p+5n
represents the total value of all the coins, and this value is in cents. We would divide by 100 to convert from cents to dollars. So we can say that 51p+5n cents = (51p+5n)/100 dollars
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As an example, let's say
So we have
- p = 4 pennies
- n = 5 nickels
- q = 2p = 2*4 = 8 quarters
This would mean we have
- p = 4 cents from the pennies only
- 5n = 5*5 = 25 cents from the nickels only
- 25q = 25*8 = 200 cents from the quarters only
Overall we have p+5n+25q = 4+25+200 = 229 cents which converts to 229/100 = $2.29
We can also say 51p+5n = 51*4+5*5 = 204+25 = 229 which is a slight shortcut to get the same result (that result being in cents).
Answer:
Step-by-step explanation:
1.cos
2.sin
3.cos
4.tan
5.sin
6.tan
Answer:
Step-by-step explanation:
We will use the co-function identity for sine, where:
Since sin(21)=0.358=cos(x). This means that:
Solve for x. Add x to both sides:
Subtract 21 from both sides:
Hence:
Answer:
should be 15.
Step-by-step explanation:
Answer:
x = 28 cm
Step-by-step explanation:
By "similar", they mean the ratio of the two sides are equal; essentially, the large one is a scaled up version of the small one.
1. Write the equation that sets the two sides equal to each other with the ratios shown as fractions. You need to make sure the short side on each of the two shapes are both on the top or both on the bottom of the fraction -- if it's switched, your answer will be wrong
=
2. Then, cross multiply (multiply the bottom number from one fraction with the top number from the other fraction) and solve for x.
3x = 7 x 12
3x = 84
x = 84/3
x = 28 cm
Be sure to include the unit of measurement (in this case, cm) in your answers! Some teachers are picky about that so it's best to be safe