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sladkih [1.3K]
2 years ago
5

Antonio graphs these equations and finds that the lines intersect at a single point, (–5, 0.25). Equation A: Equation B: 4y – 3x

= 16 –x – 8y = 3 Which statement is true about the values x = –5 and y = 0.25?
Mathematics
2 answers:
Elza [17]2 years ago
6 0

Given equations : Equation A:  4y -3x =16 and

Equation B: -x-8y =3.

We are given a<em> point (-5,0.25) plugging it in first equation</em>

4(0.25) -3(-5) =16

1+15 =16.

16 =16 <em>: Satisfies first equation.</em>

Plugging (-5,0.25) it in second equation.

-(-5)-8(0.25) =3.

5 - 2 = 3.

3=3 <em>: Satisfies first equation.</em>

<h3>Therefore, they are the only values that make both equations true.</h3>
Firlakuza [10]2 years ago
5 0

Answer:

"they are the only values that make both equations true."

Step-by-step explanation:

still the correct answer on APEX as of 4/29/2019

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Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He want
aleksandrvk [35]

Answer:

<em>Scott will take 221 minutes to run 52 km</em>

Step-by-step explanation:

<u>Speed</u>

The speed of an object can be calculated with the formula:

\displaystyle v=\frac{d}{t}

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

\displaystyle v=\frac{20}{85}\ km/min

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

\displaystyle t=\frac{d}{v}

Since the speed has been already determined:

\displaystyle t=\frac{52}{\frac{20}{85}}

Multiplying by the reciprocal of the denominator:

\displaystyle t=52*\frac{85}{20}

t = 221 min

Scott will take 221 minutes to run 52 km

4 0
2 years ago
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Why did Helga the witch sign up for anger management classes?
goblinko [34]
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I think this is the answer.

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3 0
2 years ago
class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of
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In a survey, 376 out of 1,078 US adults said they drink at least 4 cups of coffee a day. Find a point estimate (P) for the popul
lesya692 [45]

Answer:

The point estimate is 0.3488.

The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).

Step-by-step explanation:

In a sample with a number n of people surveyed with a point estimate of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1078, \pi = \frac{376}{1078} = 0.3488

The point estimate is 0.3488.

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3488 - 2.575\sqrt{\frac{0.3488*0.6512}{1078}} = 0.3114

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3488 + 2.575\sqrt{\frac{0.3488*0.6512}{1078}} = 0.3862

The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).

6 0
2 years ago
What is 1.584x10 to the seventh power is in standard notation.
Eva8 [605]

Answer:

None

Step-by-step explanation:

Thats not how math works

The proper answer would be 15,840,000,000

3 0
2 years ago
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