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IRISSAK [1]
3 years ago
6

What is the fraction of students that are girls at the bar-b-que, there are 40 boys and 60 girls

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

The answer is 3/4

Step-by-step explanation:

First you have to add all the boys and girls to see how many people are at the bbq. Then take 60 put it over 100 and simplify it down til it cant anymore

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Which point do the graphs of f and g have in common?
pickupchik [31]

The point that the graphs of f and g have in common are (1,0)

<h3>How to get the points?</h3>

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0).

Learn more about graph on:

brainly.com/question/19040584

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6 0
2 years ago
12 = -4(-6x - 3)<br><br> x= <br><br> i made this 19 points please help
7nadin3 [17]

Answer:

0

Step-by-step explanation:

-4 times -6x is 24x and-4 x -3 = 12

isolating 24x on the right side we subtract twelve on the right and on the left to get 24x=0 and 24 divided by zero is 0

7 0
2 years ago
Read 2 more answers
Michael pays his cell phone service provider $49.95 per month for 500 minutes. Any additional minutes used cost $0.15 each. In J
arsen [322]

y = total cost used.

x = additional minutes

y = $49.95 + $0.15x

$61.20 = $49.95 + $0.15x. Subtract the $49.95 from each side.

$11.25 = $0.15x. Divide each side by $0.15

75 = x.

Michael used 75 additional minutes.

8 0
3 years ago
How many sets of three consecutive integers are there in which the sum of the three integers equals their product?
skad [1K]

Answer:

3

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

----------------

0 4x² - x

- 4x² - 4x

-----------------------

0 + 3x - 3

- 3x - 3

---------------------------

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0
2 years ago
In the box there are 20 toys, but 5 of them are broken. Randomly one after another 2 toys are taken out. What are the chances th
vitfil [10]

Answer:

A

Step-by-step explanation:

Refer to the picture above.

Explainations are written in the pic above.

4 0
3 years ago
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