4³ ⋅ (100 ÷25) − 5^0
[parenthesis goes first, then exponents]
[any coefficient with zero exponent is equal to 1]
64 · 4 - 1
[multiplication, then subtraction]
256 - 1
<u>255</u>
9514 1404 393
Answer:
Step-by-step explanation:
When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.
There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.
__
Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.
Lin will use 4 cups of flour for 6 cups of sugar.
__
<em>Alternate solution</em>
The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.
Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar
Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar
Answer:55555
Step-by-step explanation:3 Points
Dawn's credit card has an APR of 15%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
End of
month
Previous
balance
50.00
51700.00
$1687 25
$1674 60
$1662 04
$1649.57
51637 20
New
charges
$1700 00
50.00
50 00
50.00
50.00
Payment
received
$0.00
$34 00
533 75
533 49
$3324
$32.99
$32.74
Finance
charges
50.00
521 25
$21 09
$20.93
$20.78
520 62
$20.46
Principal
paid
$0.00
$12.75
$1265
$12.56
$1247
$12.37
$1228
New
balance
$1700.00
$1687 25
51674 60
S1662 04
$1649 57
S1637 20
S1624 92
50.00
50.00
How much of the initial purchase has Dawn paid off over the 7 months?
Answer:
Step-by-step explanation:
Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
Answer:
4
Step-by-step explanation:
We see that a point is (1, 4) so the answer is 4/1 = 4.
