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navik [9.2K]
3 years ago
5

A machine that fills 12-quart size packages of ice cream runs 8 hours a day, 7 days a week. The machine fills 900 ice cream pack

ages per hour. How much ice cream is packaged each week?
Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

Number of ice cream packaged each week = 604,800 Ice cream

Step-by-step explanation:

Given:

One package = 12 ice cream

Per day packing = 8 hour

Number of days work in a week = 7 days

Per hour packing = 900 package

Find:

Number of ice cream packaged each week :

Computation:

⇒ Number of ice cream packaged each week = Number of days work in a week × Per day packing hour × Per hour packing × Per package ice cream

⇒ Number of ice cream packaged each week = 7 × 8 × 900 × 12

⇒ Number of ice cream packaged each week = 604,800 Ice cream

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3.5 m
marysya [2.9K]

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

4 0
3 years ago
The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order
Gekata [30.6K]

The ordered pair (-3 , \frac{4}{375} ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)  (change the sign of y)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)  (change the sign of x)

∵ f(x)=\frac{1}{6}(\frac{2}{5})^{x}

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ g(x)=\frac{1}{6}(\frac{2}{5})^{-x}

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , \frac{4}{375} )

∴ x = -3 and y = \frac{4}{375}

- Substitute x by -3 in g(x)

∵ g(x)=\frac{1}{6}(\frac{2}{5})^{-x}

∴ g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}

∴ g(x)=\frac{1}{6}(\frac{2}{5})^{3}

∵ (\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125}

∴ g(x)=\frac{1}{6}(\frac{8}{125})

∴ g(x)=\frac{8}{750}

- Divide up and down by 2

∴ g(x)=\frac{4}{375}

∵ The value of g(x) equal to the y-coordinate of the point

∴ The point (-3 , \frac{4}{375} ) lies on g(x)

The ordered pair (-3 , \frac{4}{375} ) is on g(x)

Learn more:

You can learn more about the reflection in brainly.com/question/5017530

#LearnwithBrainly

9 0
3 years ago
Read 2 more answers
A four foot tall girl cast a shadow of 6 feet. A shade tree cast a shadow of 24feet. What is the height of the tree?
aleksandr82 [10.1K]
The answer is 16.
the girls shadow is 6 feet, and the trees is 24. you get to 24 by multiplying by 4. so do the same thing for the height. if the girls height is 4, multiply by 4 to get to the trees height. 4x4 is 16.
5 0
3 years ago
the volume of a cube is 64in squared (2). what’s the length of each side of the cube please help asap
blsea [12.9K]

Answer:

4in squared

Step-by-step explanation:

We know that cubes have equal parts all around, and it is basic knowledge for the most part to know 4x4x4 = 64. Therefore, each length must be 4, length, width,and height are all 4.

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3 years ago
Where does the line y = 4x + 1 intersect the y-axis (the y-intercept)?
Nataliya [291]

Answer:

(0,1)

Step-by-step explanation:

The equation for slope is y=mx+b.

The b value stands as the y - intercept.

6 0
3 years ago
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