1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
igor_vitrenko [27]
3 years ago
11

The drawing shows a stack of alternating cups. The cups are 9.2 cm high. How many cups will fit in a door that is 211.77 cm high

?
Mathematics
1 answer:
KIM [24]3 years ago
7 0

Answer:

The total number of whole cups that we can fit in the dispenser is 25

Step-by-step explanation:

It is given that the height of each cup is 20 cm.

But when we stack them one on top of the other, they only add a height of 0.8 to the stack.  

The stack of cups has to be put in a dispenser of height 30 cm.

So we need o find out how many cups can fit in the dispenser.

Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser

So,

30 - 20 = 10 cm

To stack the other cups we have 10 cm of height remaining

As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.

10 + 0.8x = 30

0.8x = 20

x = 25

The total number of cups that we can fit in dispenser is 25

You might be interested in
What is the equation for the translation of X^2+y^2=9 four units to the right and three units down
icang [17]
We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)

the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure

4 0
3 years ago
Matt was standing 3 feet from the edge of the pool he walked away from the pool for four seconds then he was 12 feet away from t
Diano4ka-milaya [45]

Answer:he ran

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If you are driving 20 meters per second, what would be the equivalent of that in miles per hour?
melomori [17]

\frac{20 meters}{1 second}  \frac{60 seconds}{1 minute}  \frac{60 minutes}{1 hour}

the fractions are set up so that each unit cancels out until its only meters/hour

you can multiply all the numerators together to get 72000 and all the denominators to get 1

72000 meters/1 hour

72000 meters in 1 hour

hope this helped

8 0
2 years ago
Prove the following statement.
jolli1 [7]
<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

where 0 ≤ r < b.

Thus,

r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

   = 16q² + 8q + 1

   = 8(2q² + q) + 1

   = 8m + 1 , where m = 2q² + q

<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

   = 16q² + 24q + 9

   = 8 (2q² + 3q + 1) + 1

   = 8m +1, where m = 2q² + 3q +1

Now,

<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>

Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

3 0
3 years ago
4x + 3y =4 2x - y =7 in substitution
IRINA_888 [86]
The answer is (4x+3y=4 2x-7=7: 5/2 and y=-2) hope it helps and have a good day!
4 0
3 years ago
Other questions:
  • Which graph shows the inequality n&gt;2
    15·1 answer
  • The names of the polygons 1-100
    6·1 answer
  • Hi,please help me.with this question im.confuse. please help me with question 1c
    8·2 answers
  • I had 3 apples I eat two how many I had left
    12·2 answers
  • Complete each number pattern
    12·1 answer
  • Graph the function h(x) = |x| + 4
    6·1 answer
  • Show your work. What is 93 divided by 3 using repeated subtraction.
    8·1 answer
  • a football was selling for 35% off the original price. the original price was $50. what is the sale price of the football?
    15·1 answer
  • 8 cm<br> 5 cm<br> 10 cm<br> 12 cm
    5·1 answer
  • If BC = 15, BE = 6, DC = 12, and AD = 8,<br> then segment DE is parallel to segment<br> AB.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!