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3 years ago

Solve the following system of equations and show all work. y = x^2 + 3 y = x + 5

1 answer:

7 0

Since both of the equations are equal to y...set them equal to each other.. So it will then be

x^2+3=x+5
-3 -3
x^2=x+2 ---> x^2-x-2
(x-2) (x+1)
x=2,-1

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The distance between two cities on a map is 4.5cm. The map scale is 1cm : 40 miles. What is the actual distance between the two

eimsori [14]

Answer: 180 miles

Step-by-step explanation: 1cm=40 miles. There is 4.5 so 4*40=160 and there is also half a centimeter, which is 20 miles. 160+20

Hope this helps and brainliest would be appreciated

5 0

3 years ago

A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster

Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = $D_1$ = 20 miles

The distance cover by biker = $D_2$ = 6 miles

The speed of biker = $S_2$ = s mph

The speed of cyclist = $S_1$ = 7 + s mph

The time taken by both cyclist and biker = t hour

Now. Distance = Speed × Time

So, $D_1$ = $S_1$ × t

Or, 20 = s × t

Or, t = $\frac{20}{7+s}$ .....1

And ,

$D_2$ = $S_2$ × t

or, 6 = s t

Or, t = $\frac{6}{s}$ ....2

From Eq 1 and 2

I.e $\frac{20}{7+s}$ = $\frac{6}{s}$

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

∴ s = $\frac{42}{14}$

I,e s = 3 miles per hour

So, The speed of biker = $S_2$ = s = 3 miles per hour

And The speed of cyclist = $S_1$ = 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

4 0

3 years ago

A multiple choice exam has 20 questions. Each question has 3 possible answers; there is no partial credit. Only 1 answer out of

amid [387]

Answer:To find out the theoretical probability of the case given, we need to make certain assumptions.

First, we'll assume that he'll attempt all of the questions, i.e he'll attempt all 10 questions.

Next assumption is that each option in each question is equally likely to be marked by the student.

This pretty much leads us to a binomial probability distribution.

Conditions are:

Answers 10 questions.

Each question has 4 options with only one correct answer and all other incorrect answers.

Student is equally likely to pick any outcome in any given question.

Hence, probability of choosing correct answer is 1/4 = 0.25. Probability of choosing incorrect answer is 1–1/4 = 3/4 = 0.75.

The number of trials is 10.

Total number of success is exactly 8 and failure is 2 amongst the 10 questions in any particular order.

Now, calculation is fairly simple.

Binomial probability distribution is such that…

P(8 correct ; 2 wrong)

= 10C8 × (0.25)^8 × (0.75)²

= 405/1048576 ≈ 3.862380981 × 10^-4 ≈ 0.000386

Step-by-step explanation:

6 0

3 years ago

The perimeter of a square is 23.28 inches. What is the length of each side of the square?

Ilia_Sergeevich [38]

Answer: 5.82in.

Step-by-step explanation: divide 23.28 inches by 4. a square has 4 sides so thats why i divided by 4 to get the answer of 5.82in.

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3 years ago

PLEASE HELP ME ASAP ❤️

jek_recluse [69]

a^2-a-20

Answer :(x-5)(x+4)

3 0

3 years ago