Answer:
7 pounds and 8 ounces
Step-by-step explanation:
Given:
A sack of potatoes weighs 14 pounds 6 ounces.
After Wendy makes potato salad for a picnic the sack weighs 6 pounds 14 ounces.
Question asked:
What is the weight of the potato Wendy used for the potato salad?
Solution:
First of all we will convert pound into ounces:-
As we know:
1 pound = 16 ounces
14 pounds 6 ounces = 16 14 + 6 = 224 + 6 = 230 ounces
A sack of potatoes weighs = 230 ounces
After Wendy makes potato salad for a picnic the sack weighs 6 pounds 14 ounces.
Similarly, 6 pounds 14 ounces = 6 16 + 14
= 96 + 14 = 110 ounces
Wendy used for the potato salad = 230 ounces - 110 ounces
= 120 ounces.
16 ounces = 1 pound
1 ounces =
120 ounces =
Thus, Wendy used 7 pounds and 8 ounces for the potato salad.
179-8=171
171/3=57
the answer is 57 students per bus.
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Answer:
195
Step-by-step explanation:
1) formula of the required area is:
A=0.5*d₁*d₂;
2) according to the formula above the required area is:
A=0.5*(7.5*2)*(13*2)=0.5*15*26=195 (yd²).
Answer: 8
<u>Step-by-step explanation:</u>
log₃ (x² - 32) = log₃ (4x) restrictions: x² - 32 > 0 and 4x > 0 ⇒ x > 4√2
x² - 32 = 4x
x² - 4x - 32 = 0
(x - 8)(x + 4) = 0
x - 8 = 0 or x + 4 = 0
x = 8 or x = -4
<em> -4 does not meet the restriction so not valid</em>
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Answer: y = 7x - 6
<u>Step-by-step explanation:</u>
<u> 7x -6 </u>
x² + 0x + 4 ) 7x³ - 6x² + 0x + 7
<u>-7x³ + 0x² - 28x</u>
-6x² - 28x + 7
<u> 6x² + 0x + 24</u>
-28x + 31
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Answer: x =
<u>Step-by-step explanation:</u>
ln 3 + ln x = ln 6 + ln (3x - 3) restrictions: x > 0 and 3x - 3 > 0 ⇒ x > 1
ln (3 * x) = ln (6*(3x - 3))
ln (3x) = ln (18x - 18)
3x = 18x - 18
<u>-18x </u> <u>-18x </u>
-15x = -18
x =
> 1 so answer is valid
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Answer: -5.9761
<u>Step-by-step explanation:</u>
log ₁₎₂ 63
=
=
= -5.9761