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KATRIN_1 [288]
4 years ago
6

A sack of potatoes weighs 14 pounds 9 ounces after wendy makes potato salad for a picnic the sack weights 9 pounds 14 ounces wha

t is the weight of the potatoes wendy use for the potato salad?
Mathematics
1 answer:
dlinn [17]4 years ago
5 0
For this case we have the following conversion:
 1 pound = 16 ounces
 Then we rewrite the sack weights:
 14 pounds 9 ounces = 14 9/16
 9 pounds 14 ounces = 9 14/16 = 9 7/8
 Then, we subtract both values:
 (14 9/16) - (9 7/8) = 4.6875 = 4 + 0.6875
 Rewriting:
 4 + 0.6875 = 4 + 6875/1000
 4 + 1375/200 = 4 + 275/40
 4 + 275/40 = 4 + 55/8
 Answer:
 
the weight of the potatoes wendy use for the potato salad is:
 
4 + 55/8 pounds
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Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

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Artyom0805 [142]

Answer:

Step-by-step explanation:

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4 years ago
2<br>If A=<br>4 3<br>find A1 using<br>elementary row operations.​
MA_775_DIABLO [31]

Answer:   A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]

<u>Step-by-step explanation:</u>

                  \left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right]

Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right]

Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]

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3 years ago
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Alisiya [41]
Y^2+4y=-8
add 8 both sides
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-2+-2i where√-1=i


4 0
3 years ago
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