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frez [133]
3 years ago
11

Applications with Decimals

Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Fraction = \frac{36}{48}

Decimal = 0.75

Percent = 75 \%

<em><u>Solution:</u></em>

Given that,

36 rainy days out of 48 days

<h3><u>Find the fraction:</u></h3>

numerator = 36

denominator = 48

Therefore,

Fraction = \frac{36}{48}

<h3><u>Decimal:</u></h3>

Convert the fraction to decimal:

Decimal = \frac{36}{48} = 0.75

<h3><u>Percent:</u></h3>

We have to find the percent pf 36 rainy days out of 48 days

Percent = \frac{36}{48} \times 100\\\\Percent = 0.75 \times 100\\\\Percent = 75 \%

Thus percent is 75 %

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Harman [31]

By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.

6 0
3 years ago
How many like terms are in the expression:5a^2+6b+a^2-3b-2+4c.
Goryan [66]

Solution

Part 3

For this case we have 6 different terms

Part 4

We can do the following:

5a^2+a^2+6b-3b+4c-2

Part 5

And we can simplify on this way:

6a^2+3b+4c-2

7 0
1 year ago
The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to
satela [25.4K]
Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\  \\ \Rightarrow y-2=-7x \\  \\ \Rightarrow y=-7x+2

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\  \\ \Rightarrow y-1=2(x-4)=2x-8 \\  \\ \Rightarrow y=2x-7

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is  (1, -5)



Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).



Part C:

From part A, we have that p(x) = -7x + 2, given that g(x) = 1 + 1.5^x

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

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