Which is greater,20 gallons or 80 liters?

Chen writes down a two digit number. He finds out that if he swapped the numbers, it would be three more than the 1/3 of the ori

inna [77]

Answer:

Step-by-step explanation:

From the information given,

Let the two digits that Chen writes down to be p and q

where,

q will be in the unit place and p will be in the tens place.

So, the value of the digit = 10p + q

So, if he swapped the number, he will have 10q + p

However,

the new number determined is thrice more than the 1/3 pf the original number.

i.e

the 1/3rd of the original number = $\dfrac{1}{3}(10p+q)$

= $\dfrac{10p+q}{3}$

thrice more than that will be = $\dfrac{10p+q}{3} + 3$

∴

$\dfrac{10p+q}{3} + 3 = 10q+p$

multiply through by 3, we have :

10p+q + 9 = 30q + 3p

collecting the like terms, we have:

10p - 3p +q -30q +9 = 0

7p - 29q +9 = 0

7p - 29q = -9

Therefore, p,q lie between 0 and 9

Therefore, the possibility of the original number is p = 7 and q = 2

8 0

4 years ago

Match the real-world problem to its constant of proportionality.

irakobra [83]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{x}{y} = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{x}{y} = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{x}{y} = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{x}{y} = \frac{24}{2} = 12$

So, the proportionality constant is 12.

7 0

3 years ago

-2/7x=4/7 how to check your answer

Ymorist [56]

Answer:

1)Evaluate the left-hand side expression at the given value to get a number.

2)Evaluate the right-hand side expression at the given value to get a number.

3)See if the numbers match.

Sorry if wrong

7 0

3 years ago

Juan has 20 books to sell. He sells the books for $15 each.

Anastaziya [24]

Answer:

Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .

The range is all the y values.....or the f(x) values .

So the practical range would be the multiples of 15 between 0 and 300,Inclusive .

<h2>Hope this helps you!! </h2>

5 0

3 years ago

What value has a z-score of -0.67, if the mean is 18 and the standard deviation is 1.68?

uranmaximum [27]

The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you

7 0

3 years ago