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zhenek [66]
3 years ago
12

Janna has $34 and will save $6 per day. write an equation to represent the relationship between the number of days and amount sa

ved. indicate what each variable represents in the equation
Mathematics
1 answer:
Margarita [4]3 years ago
8 0
S = 6d + 34

......................
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Solving and graphing absolute value equations
Monica [59]
\begin{gathered} -4\text{ + 7}x\text{ }\leq6x\text{ + 2} \\ 7x-6x\leq2+4 \\ x\text{ }\leq6 \end{gathered}

6 0
1 year ago
Consider the expression 40 + 24. Find the greatest common factor of the two numbers, and rewrite the expression using distributi
serg [7]

Answer:

40 + 24 = 8(5 + 3)

Step-by-step explanation:

Consider the expression 40 + 24. Find the greatest common factor of the two numbers, and rewrite the expression using distributive property

Step 1

We find the GCF

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 8.

Step 2

Rewriting the expression using distributive property.

The factors of 40 and 24 that would give us the sum of 8 is given as 5 and 3

Therefore, using Distributive property

40 + 24 = 8(5 + 3)

5 0
3 years ago
A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered
Nikolay [14]
So hmm let's take a peek at the cost first

so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x

so, more than likely an insurance agency is charging them 300x for coverage

anyway, thus the cost C(x) = 250,000 + 300x

now, the Revenue R(x), is simple is jut price * quantity

well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits

so... let's see what the price say y(x) is  \bf \begin{array}{ccllll}
quantity(x)&price(y)\\
-----&-----\\
80&5000\\
81&4970\\
82&4940\\
83&4910
\end{array}\\\\
-----------------------------\\\\

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 80}}\quad ,&{{ 5000}})\quad 
%   (c,d)
&({{ 83}}\quad ,&{{ 4910}})
\end{array}
\\\quad \\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30
\\ \quad \\\\
% point-slope intercept
y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\
\left.\qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y=-30x+7400

so.. now we know y(x) = -30x+7400

now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"

that simply means R(x) = -30x²+7400x


now, for the profit P(x)

the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)

P(x) = (7400x - 30x²) - (250,000+300x)

P(x) = -30x² + 7100x - 250,000

now, where does it get maximized? namely, where's the maximum for P(x)?

well \bf \cfrac{dp}{dx}=-60x+7100

and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum
7 0
3 years ago
in sound and harmonics, the frequency of a vibrating string varies inversely to its length. A guitar string 20 inches long vibra
zmey [24]
20 inches is 400
10 inches is 200
5 iches is 100

So 20+10+5=35
Which means 400+200+100= 700

So the frequency of a 35 inch string is 700 cycles per second
5 0
3 years ago
Two people play a game. The first person starts with the number 1 and can multiply 1 by any number from 2-9. Then, the second pe
Maru [420]

Answer: player number one

Step-by-step explanation:

Player number one starts with one and then he waits for player number two.

It doesnt matter what player number two makes, he needs to keep his multipliyer in two until player two pasess one millon/9 =111111.11 for the first time, then, he plays 9.

8 0
3 years ago
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