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masya89 [10]
3 years ago
7

A paper company produces 1,740 notebooks in 2 days. How many notebooks can it produce in 10 days?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer: in 10 days the company can make 87000 notebooks considering the company produces at the same rate.


Step-by-step explanation:

Think 1740=2d

X=10d

Cross multiply

2x= 17400

X= 8700

8700 x 10d = 87000

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Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add
Delicious77 [7]

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

Initial\ Fee = \$57

Additional = \$0.08 per mile

Plan 2:

Initial\ Fee = \$50

Additional = \$0.10 per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

y = 57 + 0.08 * x

Plan 2:

y = 50 + 0.10 * x

To solve (a), we equate both plans together; i.e.

y = y

57 + 0.08x = 50 + 0.10x

Collect Like Terms

0.08x - 0.10x= 50 - 57

-0.02x= -2

Solve for x

x = -2/-0.02

x = 100

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

y = 57 + 0.08 * x

y = 57 + 0.08 * 100

y = 57 + 8

y = 65

<em>Hence, the amount is $65</em>

7 0
2 years ago
Let sin(−θ)=−3/5 and tanθ&gt;0. What is the value of cos(−θ)?
Jobisdone [24]

Answer:

The value of  Cos (-Ф) \dfrac{\textrm 4}{\textrm 5} .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = \frac{- 3}{5}

- sin Ф = \frac{- 3}{5}

So, sin Ф = \frac{ 3}{5}

Now, as sin Ф = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

So ,  \dfrac{\textrm perpendicular}{\textrm hypotenuse} =  \frac{ 3}{5}

So, perpendicular = 3

And hypotenuse = 5

Now,<u> From Pythagoras Theorem</u>

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴  Base = \sqrt{16}

I.e Base = 4

Now, Cos Ф =  \dfrac{\textrm base}{\textrm hypotenuse}

So, Cos Ф =  \dfrac{\textrm 4}{\textrm 5}

Now , Since

Cos ( - Ф ) = Cos Ф

So,  Cos ( - Ф ) = Cos Ф =  \dfrac{\textrm 4}{\textrm 5}

Hence The value of  Cos (-Ф) \dfrac{\textrm 4}{\textrm 5} . Answer

6 0
2 years ago
I need so much help please
jok3333 [9.3K]

Answer:

the Answer will be letter B

6 0
3 years ago
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mojhsa [17]

First choice: m^32n^16

Hope this helps!

6 0
3 years ago
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What is the greatest common factor of 24, 40 and 32? <br> A. 1 <br> B. 2 <br> C. 4 <br> D. 8
trasher [3.6K]
It’s 8 because 24/8 is 3 and 40/8 is 5 and 32/8 is 4 so the answer is 8 YOUR WELCOME
6 0
3 years ago
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