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2 years ago

When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Answer:

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To make a specific orange color, a painter uses 14 of a can of red paint and 12 of a can of yellow paint. Fill in each statement

Otrada [13]

Answer: For every 1 can of red paint, the number of yellow paints used by the painter is $\frac{6}{7}$ and

There are approximately 29 cans of yellow paints for 34 cans of red paints.

Step-by-step explanation:

Since we have given that

Number of cans of red paint = 14

Number of cans of yellow paint = 12

According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;

Since the ratio of red paint to yellow paint is given by

$14:12\\\\7:6\\\\1:\frac{6}{7}$

So, for every 1 can of red paint, the number of yellow paints used by the painter is $\frac{6}{7}$

Similarly,

If Number of can of red paint is used = 34

So, Number of cans of yellow paint will be

$\frac{6}{7}\times 34\\\\=\frac{6\times 34}{7}\\\\=29\ approx.$

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.

3 0

2 years ago

There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average

lorasvet [3.4K]

Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

Solution:

Volume = 36000in³

Conversion of in³ to ft³

1 inch = 0.0833 feet

12 inch = 1 ft

1 ft³ = 1ft × 1ft × 1ft

= 12 in x 12 in x 12 in = 1728 in³

36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³

= 20.833ft³

Volume = 20.833ft³

There are 7.48 gallons in a cubic foot

In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)

= 20.833× 7.48gallons

Volume = 155.83 gallons

The rate of usage = 56 gallons per minute

The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

= (155.83/56)minute

= 2.8minutes

Time it will take to drain the entire tower = 2.8minutes

5 0

2 years ago

You and a friend buy two fruit smoothies and leave a tip. You split the total and your half comes to $3.60. What percent (in dec

KATRIN_1 [288]

You left 20% tip. all you do is divide the tip,0.60, by the total , 3.

5 0

3 years ago

The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of

Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

$AV = \frac{y(t2) - y(t1)}{t2 - t1}$

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

$AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6$

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

$AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8$

So the average speed is -128.9 ft/s

iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

$AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16$

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0

2 years ago

Paula can make 14 beaded bracelets in an hour.Tina can make 13 bracelets in an hour.In one week,Paula made bracelets for 6 hours

Leno4ka [110]

Paula would be 14 times 6 or 84
Tina would be 13 times 8 or 104
So tina made more

4 0

2 years ago