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3 years ago

Find the slope of the line.

Mathematics

1 answer:

Citrus2011 [14]3 years ago

8 0

Negative 1 over 3 (-1/3)

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Write the umber 10.5 in the form a/b

Dafna11 [192]

The umber 10.5 can be written as

==> 21 / 2

==> 42 / 4

==> 63 / 6

==> 84 / 8

==> 105 / 10

and many, many other ways.

They ALL have the same value.

3 0

3 years ago

Read 2 more answers

Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smal

a_sh-v [17]

Answer:

The time taken by smaller pipe to fill the tank alone is 74.2 min

Step-by-step explanation:

Given as :

The time taken by two pipes to fill tank = 19 min

Let the time taken by larger pipe to fill tank = y

And the time taken by smaller pipe to fill tank = x

According to question

The smaller pipe takes 49 minutes longer than larger pipe

I.e x = y + 49

Now,

$\dfrac{1}{x}$ + $\dfrac{1}{y}$ = $\dfrac{1}{49}$

Or, $\dfrac{1}{y + 49}$ + $\dfrac{1}{y}$ = $\dfrac{1}{49}$

Or, $\dfrac{y + 49 + y}{y^{2} + 49 y }$ = $\dfrac{1}{49}$

Or, 2 y + 49 = $\dfrac{y^{2}+49y }{19}$

Or, 19 × ( 2 y + 49 ) = y² + 49 y

Or, 38 y + 931 = y² + 49 y

Or, y² + 49 y - 38 y - 931 = 0

or, y² + 11 y - 931 = 0

Or, Applying quadratic equation method to calculate the value of y

so, y = $\frac{- b \pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, y = $\frac{- 11 \pm \sqrt{11^{2}-4\times 1\times (-931)}}{2\times 1}$

Or, y = $\frac{- 1 \pm \sqrt{121+3724}}{2}$

or, y = $\frac{- 1 \pm \sqrt{3845}}{2}$

or, y = $\frac{- 1 \pm 62.008}{2}$

∴ y = 25.2 , - 36.5

So, The time taken by larger pipe = y = 25.2 min

and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min

Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer

6 0

3 years ago

Which expression is equivalent to 4(23)?

Radda [10]

Answer:

4(20+3)

Step-by-step explanation:

you can just add 20+3 to make the (23) part of the equation it's very simple dont make it complicated luv

4 0

3 years ago

Jermaine’s mom is paying for a $30 meal. She has a 10%-off coupon for the meal. After the discount, a 8% tax is applied. What do

Andrew [12]

Answer:

It would come out as 24.84$ because 30.00*10%=3.00 so 30-3= 27 then 27.00*8%= 2.16 so 27.00-2.16=$24.84 so she would pay $24.84 for the meal.

Step-by-step explanation:

8 0

2 years ago

18% is what number of 63?

zvonat [6]

Answer:

$18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350$

<h2><u>350</u> is the right answer.</h2>

5 0

3 years ago

Read 2 more answers