Answer:
50 muffins
Step-by-step explanation:
20 : 40%
y : 100%

y · 40 = 20 · 100
40y = 2000
40y ÷ 40 = 2000 ÷ 40
y = 50
These are complementary angles.
If two angles are <em><u>complementary</u></em>, then
the sum of their measures is 90°.
Since we know that one of the angles measures 35°, we can find the measure of the other by taking 90 minus the measure of the original angle which in this case is 90 - 35.
So we have 90° - 35° which is 55°
So the measure of the other angle is 55°
Value of 3/4 + 1/5 is 19/20.
Do you need the steps?
First, calculate the LCM of the denominators (4 and 5) which is 20.
Now, divide 20 by 4 and 5 and multiply the quotient with the numerator.
=>
<u> </u><u>(</u><u>5</u><u>×</u><u>3</u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u>4</u><u>×</u><u>1</u><u>)</u><u> </u><u> </u>
20
=> <u>15+4</u>
20
=> 19/20
Hope it helps!
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Answer:
54.2 mph
Step-by-step explanation:
Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...
70² = c² +(c -10)²
4900 = 2c² -20c +100 . . . . eliminate parentheses
c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form
(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form
c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical
c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution
Cynthia's average speed was 54.2 miles per hour.
Answer:
10
Step-by-step explanation:
3c - 5 =2c +5
3c - 2c =5 +5
c=10