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Vinvika [58]
3 years ago
8

Ari stocks shelves at a grocery store.He puts 35 cans of juice in each display case.The case has 4 shelves with an equal number

of cans,and one shelf with only 3 cans.How many cans are on each of the equal shelves?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

There are 8 cans on each of the equal shelves

Step-by-step explanation:

Total number of cans put in display = 35

Shelves with equal no of cans =  4 Shelves

And one shelf displays only 3 cans

Therefore, 4 shelves with equal no of cans + 1 shelf with 3 cans = 35 cans

Let us assume equal no. of cans be x

We get, 4x + 3 = 35

             4x = 35 - 3

             4x = 32

              x  = 32 ÷ 4

              x = 8

<u><em>Thus, 4 shelves with equal no of cans contains 8 cans each.</em></u>

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What is the diameter of the circle with 49 pi
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Area = \pi r^2\\ 49\pi = \pi r^2\\49=r^2\\ r=7\\\\ Diameter = 14 Remember, diameter = 2 x radius
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4 years ago
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to fi
yulyashka [42]

Answer:

h = 196/65

Step-by-step explanation:

65 miles /1 hour is the moving rate

200 miles is the distance to the railroad maker

h = ?

200- 4 miles = 196 miles were left behind the train

65miles /1 hour , 130miles/2hours , ..196miles/ ?hours

h = 196/65 = 3 hours and 1/65 minutes from an hour = 3 hours and 12/13 min.

60/ 65 = 12/13

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2 years ago
(1 point) The random variables X and Y have the joint density: fX,Y(x,y)={2−x−y00
Fynjy0 [20]

Answer:

. Let fX,Y(x,y) = 10xy^2 for 0 < x < y < 1 be the joint density function of the random pair (X, Y). (a) Obtain the marginal density f(y) of Y. (b) Obtain the conditional density fx|y(x|y) of X given Y = y. (c) Evaluate the conditional expectation of X, given Y=y

Y = y.

Step-by-step explanation:

7 0
3 years ago
Which of the following points lies on the circle whose center is at the origin and whose radius is 5?
ad-work [718]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2751733

_______________


Equation of the circumference whose center is at \mathsf{C(0,\,0)} and whose radius is \mathsf{r=5:}

\mathsf{(x-x_C)^2+(y-y_C)^2=r^2}\\\\&#10;\mathsf{(x-0)^2+(y-0)^2=5^2}\\\\&#10;\mathsf{x^2+y^2=25}


We are looking for the point that satisfies the equation above.


<span> •  </span>Testing \mathsf{(-3,\,4):}

\mathsf{(-3)^2+4^2}\\\\&#10;\mathsf{9+16}\\\\&#10;\mathsf{25\qquad\quad\checkmark}


The point \mathsf{(-3,\,4)} lies in the circumference.


<span> •  </span>Testing \mathsf{(1,\,-2):}

\mathsf{1^2+(-2)^2}\\\\ \mathsf{1+4}\\\\ \mathsf{5\ne 25\qquad\quad\diagup\hspace{-9}\diagdown}


The point \mathsf{(1,\,-2)} doesn't lie in the circumference.


<span> •  </span>Testing \mathsf{(\sqrt{5},\,\sqrt{5}):}

\mathsf{(\sqrt{5})^2+(\sqrt{5})^2}\\\\ \mathsf{5+5}\\\\ \mathsf{10\ne 25\qquad\quad\diagup\hspace{-9}\diagdown}


So, the point \mathsf{(\sqrt{5},\,\sqrt{5})} doesn't lie in the circumference either.



Answer:  (<span>–3,  4</span>).


I hope this helps. =)

8 0
4 years ago
Read 2 more answers
The figure is made up of a hemisphere and a cone.
Dmitry [639]

Answer:

Volume of the figure = 2413.71 cubic inches.

Step-by-step explanation:

Volume of the figure = Volume of the hemisphere + Volume of the cone

= \frac{2}{3} \pi r^{3} +\frac{1}{3} \pi r^{2} h

=\frac{1}{3} \pi r^{2} (2r + h)

=\frac{1}{3} (\frac{22}{7} )(8)(8)(16+20)

=\frac{22(8)(8)(12)}{7}

= 2413.71 cubic inches.

4 0
3 years ago
Read 2 more answers
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