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2 years ago

Which property justifies the statement below

Mathematics

1 answer:

yawa3891 [41]2 years ago

4 0

Answer:

identify a property is the answer

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A box contains 5 blue balls, 2 white balls and 3 black balls. A ball is chosen randomly. Find the probability that the chosen ba

Nimfa-mama [501]

Answer:

7/10 or 70%

Step-by-step explanation:

Add the number of each color of balls together to get the total

5 + 2 + 3 = 10

Add the number of all the balls that aren't black

5 + 2 = 7

Then divide how many balls that aren't black by the total. This gives us the probability the ball you choose is not black

7/10 = 0.7 or 70%

5 0

3 years ago

Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

Maksim231197 [3]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that ,

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

$\$5+\$15=\$20$

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

$20+1.50x$

Now, remaining money left to him after spending on x rides too is

$90-(1.50x+20)\\\\=90-1.50x-20\\\\=70-1.5x$

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

$f(x)=70-1.50x\\\\f(x)=-1.50x+70$

3 0

3 years ago

Read 2 more answers

Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.

Anna007 [38]

Answer:

Step-by-step explanation:

to find the perimeter of a trapezoid you add all the sides together

therefore we do it backwards

24-3-6-9=6

6 0

2 years ago

Read 2 more answers

Let f(x) = x2 − 16. find f−1(x). open study

Bogdan [553]

Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y

5 0

3 years ago

Read 2 more answers

Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Nezavi [6.7K]

$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

7 0

3 years ago