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2 years ago

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Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebr

aic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.

1 answer:

ryzh [129]2 years ago

8 0

<h3>Answer: 3x + x = 67</h3><h3>To solve: 4x = 67</h3><h3> /4. /4</h3><h3>x = 16.75</h3><h3></h3>

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If the distance covered by an object in time t is given by s(t)=t^2+5t , where s(t) is in meters and t is in seconds, what is th

alisha [4.7K]

Answer:

E. 44 meters

Step-by-step explanation:

The function that models the distance covered by the object is

$s(t)=t^2+5t$

where s(t) is in meters and t is in seconds.

The distance covered by the object after 1 second is

$s(1)=1^2+5(1)=6m$

The distance covered by the object after 1 second is

$s(1)=5^2+5(5)=50m$

The distance covered between 1 second and 5 seconds is

50-6=44m

6 0

3 years ago

The cost of Nate's dinner including a 15% tip was $43.70. What was the cost of dinner alone?

Nookie1986 [14]

Answer:

The cost of dinner alone was $37.145

Step-by-step explanation:

15%=0.15----Convert your percentage into a decimal

43.70*0.15=6.555----Multiply the cost of dinner with the decimal

$43.70-$6.555=$37.145----Subtract the last number(6.555) from the total(43.70) to get the cost of dinner alone of $37.145 -This is making you subtract the percentage from the total!

I hope this helped!

7 0

2 years ago

A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

$\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5$

The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$

Then, we can calculate the standard error of the mean as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5$

6 0

3 years ago

Pls solve: 6 - 2/9x = 8

Inga [223]

Answer:

x = -9

Step-by-step explanation:

6 - 2/9x = 8

Subtract 6 from each side

6-6 - 2/9x = 8-6

-2/9 x = 2

Multiply each side by -9/2 to isolate x

-9/2 * -2/9x = 2*-9/2

x = -9

5 0

3 years ago

Read 2 more answers

How is the number 0.000005 written in scientific notation?

nirvana33 [79]

Answer: The answer is A. 5.0 x 10-5

i hope it helps. Have a nice day

Step-by-step explanation:

the decimal number 0.00005 written in scientific notation is 5 × 10-5

4 0

2 years ago

Read 2 more answers