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2 years ago

8

in a 3-digit number, the hunderds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s

un of the digits is 11, find the number

1 answer:

Stels [109]2 years ago

5 0

Answer:362

Step-by-step explanation:

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362

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A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0

1 year ago

Are these triangles congruent if so which method?

Vaselesa [24]

yes they are congruent with ASA

3 0

3 years ago

Read 2 more answers

Use the graph of the function y = 4* to answer the

Radda [10]

Answer:

Its the domain of real numbers Written diferently ( R ) or in interval notation ( ( ( −∞, +∞ )

Step-by-step explanation:

8 0

2 years ago

10n^{2} - 12 = -8<br> Please help

torisob [31]

The value for n is $\frac{\sqrt{10} }{5}$

<h3>solving for n</h3>

<u>given data</u>

10n^{2} - 12 = -8

making n the subject of the formula

10n^{2} = -8 + 12

10n^{2} = 4

divide through by 10

n^{2} = 4 / 10

finding the square root of both sides

n = square root ( 4 / 10 )

$n = \sqrt{\frac{4}{10}$

n = 0.632 or $\frac{\sqrt{10} }{5}$

Read more the subject of formula here: brainly.com/question/21140562

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7 0

1 year ago

4 9/10 divided by 2 3/5

lora16 [44]

<span>4 9/10 divided by 2 3/5

</span>4 9/10 = 49/10
2 3/5 = 13/5

so
(49/10) / (13/5)
=49/10 * 5/13
= 49/26
or
= 1 23/26

8 0

3 years ago