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4 years ago

6

The formula p=8n-30 gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 dollars are subtra

cted. If the profit p is $170, how many items were sold?

1 answer:

andrew11 [14]4 years ago

7 0

Answer:

the answers is n=25. hope this helps

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286,489 is an odd number.how many times greater is the ten thousand place than the 8 in the tens place ?

jonny [76]

We're comparing 80,000 with 80.

One way to do this is divide the two numbers: 80,000/80 = 1000.

80,000 is one thousand times greater than 80.

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4 years ago

Read 2 more answers

You are interested in purchasing a new car. One of the many points you wish to consider is the resale value of the car after 5 y

gulaghasi [49]

Answer:

The 95% confidence interval for the true mean resale value of a 5-year-old car of this model

(11,688.68 , 12,511.32)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 17

mean of the sample x⁻ = 12,100

Standard deviation of the sample (S) = 800

The 95% confidence interval for the true mean resale value of a 5-year-old car of this model

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )$

<u><em>Step(ii):-</em></u>

<u><em>Degrees of freedom ν =n-1 = 17-1 =16</em></u>

<u><em></em></u> $t_{(16 , 0.05)} = 2.1199$ <u><em></em></u>

The 95% confidence interval for the true mean resale value of a 5-year-old car of this model

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )$

$(12,100 - 2.1199\frac{800}{\sqrt{17} } , 12,100 + 2.1199 \frac{800}{\sqrt{17} } )$

(12,100 - 411.32 , 12,100 + 411.32)

(11,688.68 , 12,511.32)

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3 years ago

On dividing (a^2 - b^2) by (a+b), we get

sergey [27]

$\frac{ {a}^{2} - {b}^{2} }{a + b} \\ \frac{(a - b)(a + b)}{a + b}$

Therefore, the answer is

$a - b$

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3 years ago

Work out the volume of this prism.

aniked [119]

Answer:

Volume = 175 cm³

Step-by-step explanation:

We can picture this image as a whole rectangular prism, with a part that has been cut out of it.

Step 1: Volume of original prism

We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5

V = 9 * 7 * 5
V = 315

Step 2: Volume of part cut out

We are solving the volume of that part that has been cut out ( missing space)

V = 5 * (9-2) * (7-3)
V = 5 * 7 * 4
V = 140

Step 3: Total Volume

Now we just subtract the cutout part from the original volume

315 - 140
V = 175

Volume = 175 cm³

Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:

V = (9 * 3 * 5) + (4 * 5 * 2)
V = 135 + 40
V = 175

-Chetan K

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2 years ago

Work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

leva [86]

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

$y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}$

Hope this helps.

4 0

3 years ago