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Artyom0805 [142]
3 years ago
12

Shannon's net worth is $872. 17 and her liabilities are $15,997.

Mathematics
2 answers:
saul85 [17]3 years ago
6 0

Answer:

I think it should be b

Step-by-step explanation:

B is the answer I think

ira [324]3 years ago
4 0

Answer:

  • <em>I  think  it's b too.</em>

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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.

6 0
3 years ago
Read 2 more answers
In which of the following equations is the distributive property correctly applied to
kykrilka [37]

Answer:

None, unless c was a typo

Step-by-step explanation:

Distributing gets us xy+2x=5

None of the options is that

If you meant option c as xy+2x = 5 though, then it would be correct

3 0
3 years ago
Ann travels from Town A to Town B in 3 hours. She then takes another hour to travel from Town B to Town C. The distance from Tow
fiasKO [112]

Answer:

  35 miles per hour

Step-by-step explanation:

Ann travels a total of (100 +40) = 140 miles in (3 +1) = 4 hours. Her average speed is the ratio of these:

  speed = distance/time

  speed = (140 miles)/(4 hours) = 35 miles/hour

7 0
3 years ago
Write the following equation in slope-intercept form: y-8= 4(x+10)
tamaranim1 [39]

Answer:

y = 4x + 48

Step-by-step explanation:

Slope intercept form: y = mx + b

y - 8 = 4x + 40

y = 4x + 48

7 0
3 years ago
Read 2 more answers
What is the measure, in degrees, of the missing exterior angle?
lozanna [386]
120

70+50=120
180-120=60
180-60=120
6 0
3 years ago
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