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3 years ago

1. Geoff rode his bike along an 8-mile path and lost his cell phone at some random location

Mathematics

1 answer:

Elina [12.6K]3 years ago

5 0

Answer:

0.3125

Step-by-step explanation:

Use definition of geometric probability:

$P=\dfrac{\text{Desired Length}}{\text{Total Length}}$

In your case,

Total Length = 8 miles

Desired Length = 7 - 4.5 = 2.5 miles,

so the probability is

$P=\dfrac{2.5}{8}=\dfrac{25}{80}=\dfrac{5}{16}=0.3125$

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How high is a 30-story building

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Not all 30-story buildings are the same height. Depends on how tall the ceiling is on each floor. But usually it is around 300 feet

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3 years ago

A photo is 15 centimeters high and 9 centimeters wide. Mikael wants to proportionately shrink it so its height is 6 centimeters

gtnhenbr [62]

Answer:

6:3.6

Step-by-step explanation:

The hight of the photo=15

so,15=6

15 :- 2.5=6

9 divided by 2.6= 3.6

therefour, the answer will be 6:3.6

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2 years ago

Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.

Aleksandr-060686 [28]

Answer:

$\huge \colorbox{red}{(x,y)=(-1,-3)}$

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

$\begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}$

combine the equations:

$\underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48$

divide both sides by -48:

$\displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3$

substitute the value of y to the second equation

$\displaystyle \: 4x - 4. - 3 = 8$

simplify multiplication:

$\displaystyle \: 4x + 12 = 8$

cancel 12 from both sides:

$\displaystyle \: 4x = - 4$

divide both sides by 4

$\displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1$

therefore our solution is

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4 0

2 years ago

Read 2 more answers

Joe hosted a praty 582 people came he charged 15 dollars for balcony seats and 10 dollars for ground seats how many people bout

hoa [83]

Answer:

Ground seats = 450 people

Balcony seats= 132 people

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)

15 b +10 g =6480

The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).

b+g = 582

Multiplying the second equation by 10, and subtracting it to the first equation:

15 b +10 g =6480

10b+10g = 5820

__________

5b =660

Solving for b

b = 660/5 = 132

Substituting b=132 in the second equation:

132+g = 582

g= 582-132

g= 450

5 0

2 years ago

Which functions are continuous at x= -5? Select all that apply.

Assoli18 [71]

Answer:

option B and C

Step-by-step explanation:

Lets check each function

Lets simplify $\frac{x^2-25}{x+5}$

factor the numerator

$x^2-25 = (x+5)(x-5)$

$\frac{(x+5)(x-5}{x+5}$

Cancel out x+5 so we are left with x-5

When x=-5 then f(x) = x-5= -5-5 = -10

To make the function continuous at x=-5 the value of f(x) should be -10

So option B is correct

Now we check with option C and D

Lets simplify $\frac{x^2+10x+25}{x+5}$

factor the numerator

$x^2+10x+25 = (x+5)(x+5)$

$\frac{(x+5)(x-5}{x+5}$

Cancel out x+5 , so we are left with x+5

When x=-5 then f(x) = x+5= -5+5 = 0

To make the function continuous at x=-5 the value of f(x) should be 0

So option C is correct

3 0

2 years ago

Read 2 more answers