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2 years ago

Could someone please help me with this question??

Mathematics

1 answer:

weqwewe [10]2 years ago

8 0

Answer: 26 cups will fit in a dispenser that is 30 cm high.

Step-by-step explanation:

First of all, we know that the first cup in the stack (the bottom cup) will be ten centimeters high, and we know that for every cup that is added on top of that, .8 centimeter will be added to the height. So, if we want to find how many cups will be in the dispenser we do this simple math:

30 - 10 = 20 Because the first cup is ten centimeters, we have to subtract that from the dispenser height.

20/.8=25 To find how many cups will be stacked on top of the first cup, we divide the remaining height by .8, the height of every other cup.

Now that we know that there will be 25 cups stacked on top of the first, we add the bottom cup to the rest of them.

25 + 1 = 26 Cups.

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Ath

jarptica [38.1K]

Answer:

1000

Step-by-step explanation:

Primo car rental agency charges $44 per day plus $0.10 per mile.

44+0.10m= 44.1

ultimo car rental: 26+0.55m=26.55

26 + 0.55m = 4 * (44 + 0.10m )

26 + 0.55m = 176 + 0.40m

26 + 0.55m - 0.40m = 176 + 0.40m - 0.40m

26 + 0.15m = 176

0.15m = 150

150/0.15m

m= 1000

5 0

3 years ago

What an equivalent expression for 48 + 18x

FromTheMoon [43]

Answer:

6(8+3x)

Step-by-step explanation:

48+18x

We can factor out an 6 from each term in the expression

6(8+3x)

7 0

3 years ago

Read 2 more answers

A vendor prepares 100.00 hotdogs every day and sells at $20.00/piece. For each hot dog, he spends $12.00 in the raw material. Ad

astra-53 [7]

Answer:

$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.

Step-by-step explanation:

We are going to assume that a month has 30 days.

First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.

We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars

He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66

The problem doesn't tell us that there were unhappy customers that day so that amount is zero.

We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.

Thus, the profit for that day is:

1600 - 1300 - 2.66 + 100 = 397.34

(Note: If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)

6 0

2 years ago

Find the slope of the given points (6, -10) and (-15, 15). Show your work.

charle [14.2K]

Answer:

Step-by-step explanation:

The slope of a line between two points can be calculated by dividing the difference of y values by the difference of x values

in this case

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{15-(-10)}{-15-6} = \frac{25}{-21} = \frac{-25}{21}$

6 0

2 years ago

Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2

Sergeu [11.5K]

Rearrange the given equation in slope intercept form
$y = \frac{3x - 1}{ - 2} \\ y = - \frac{3}{2} x + \frac{1}{2}$
slope of the required line is
$- \frac{1}{ - \frac{3}{2} } = \frac{2}{3}$
equation is given by
$y - y1 = m(x - x1) \\ y - - 4 = \frac{2}{3} (x - 5) \\ y + 4 = \frac{2x}{3} - \frac{10}{3} \\ y = \frac{2x}{3} - \frac{10}{3} - 4 \\ y = \frac{2}{3} x - \frac{22}{3}$

5 0

2 years ago