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arsen [322]
3 years ago
13

Write 4.7 as a mixed number with a fraction in simplest form.

Mathematics
2 answers:
julia-pushkina [17]3 years ago
8 0
4.7 = 4 + 0.7
7/10
4 7/10

Answer: D)
lozanna [386]3 years ago
3 0

Answer:

D) 4 7/10

Step-by-step explanation:

Any fraction may be written as a mixed number. This type of number is formed by one or more whole parts plus a fractional part.

4.7 = 4 + 0.7

4 + 7/10

4 7/10

Following this same reasoning we can turn a mixed number into improper fraction and improper fraction into mixed number.

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10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the b
alexdok [17]

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

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}&#10;quantity(x)&price(y)\\&#10;-----&-----\\&#10;80&5000\\&#10;81&4970\\&#10;82&4940\\&#10;83&4910&#10;\end{array}\\\\&#10;-----------------------------\\\\

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ 80}}\quad ,&{{ 5000}})\quad &#10;%   (c,d)&#10;&({{ 83}}\quad ,&{{ 4910}})&#10;\end{array}&#10;\\\quad \\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30&#10;\\ \quad \\\\&#10;% point-slope intercept&#10;y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\&#10;\left.\qquad   \right. \uparrow\\&#10;\textit{point-slope form}&#10;\\\\\\&#10;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
What is m in the simultaneous equation <br> M -n=1<br><br> M+n=3
Lady bird [3.3K]
The simultaneous equations is missing +8
8 0
3 years ago
Read 2 more answers
Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b
poizon [28]

The roots of the given polynomials exist  $x=8+\sqrt{10}$, and $x=8-\sqrt{10}$.

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\

$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\

$&x=8+\sqrt{10}, x=8-\sqrt{10}

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$, and

$x=8-\sqrt{10}$.

To learn more about quadratic equations refer to:

brainly.com/question/1214333

#SPJ4

3 0
1 year ago
Read 2 more answers
Substititue 5 for x. Is the solution true?<br> 3x + 4 - x = 4x - 6
Aloiza [94]

Answer:

It's a true solution.

Step-by-step explanation:

3(5) + 4 - 5 = 4(5) - 6

15 + 4 - 5 = 20 - 6

19 - 5 = 14

14 = 14

3 0
2 years ago
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