5. Two buses leave Bangor at the same time and travel in opposite directions. One bus
averages 57 mi/h and the other bus averages 43 mi/h. After how many hours will the buses be
450 mi apart?

Answer:

32 x 2
---------- = 16
.....4


To start off we can do 32 x 2.
32 x 2 = 64


Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16


In conclusion the fraction 32 x 2 / 4 is equal to 16.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer: hii

Step-by-step explanation:

Using a system of equations, it is found that the numbers are 5 and -7.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we say that the numbers are x and y.

They multiply to -35, hence:

xy = -35.

They add to -2, hence:

x + y = -2 -> y = -2 - x

Replacing on the first equation:

x(-2 - x) = -35

-x² - 2x + 35 = 0

x² + 2x - 35 = 0

(x + 7)(x - 5) = 0

x = -7 -> y = 5

x = 5 -> y = -7

Hence the numbers are 5 and -7.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer: 16

Step by Step Explanation:

3 to the power of Zero=1

2 to the power of -2 is 0.25

1 times 0.25 is 0.25

0.25 to the power of negative 0 is 16

Step-by-step explanation:

yo that's actually really sick

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

This scenario can be modeled as a geometric series.

From the information given:

The formula for the sum of the first n terms of a geometric series is:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, the sum of the first 19 terms is:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

244 miles (to the nearest whole number)

So

It's a GP

we need Sum

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{−12.21560156300510578244137725830078125}{-0.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=244.312\approx 244mi[/tex]

Answer:

(0,4).

Step-by-step explanation:

The point (0, 4) is on the y axis ( as x = 0) so the answer is (0,4).

1. -33.963333

2. 28

but i'm not sure

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

Read more about right triangles at:

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Answer:

5.41 Feet

Step-by-step explanation:

$54.4

hope it really helps...!!!

Answer:

AD║BC

DE≅CE

AC≅DBΔ

ΔAED≅ΔBEC

Step-by-step explanation:

NOTHING ELSE

≅

║

Δ

have a good day!

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given term ! thus , we'll just have to remove the √3 from th denominator anyhow !

let's start ~

[tex] \frac{2 \sqrt{5} }{7 - \sqrt{3} } \\ \\ \implies \: \frac{2 \sqrt{5} }{7 - \sqrt{3} } \: \times \: \frac{7 + \sqrt{3} }{7 + \sqrt{3} } = \frac{14 \sqrt{5} + 2 \sqrt{15} }{(7) {}^{2} - ( \sqrt{3) {}^{2} } } \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{49 - 3} \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{46} \\ \\ \implies \: \frac{\cancel{2}(7 \sqrt{5{} } \: + \sqrt{15} )}{\cancel{46} } \\ \\\bold\red{ \implies \: \frac{7 \sqrt{5} + \sqrt{15} }{23}}[/tex]

hope helpful :D

Answer:

[tex]y=x+4[/tex]

Hope This Helps! :) Please give Brainliest!

Refer to attachment below;

The binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.

The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.

Factoring binomials means breaking down a binomial expression into its simplest form.

Binomials are algebraic expressions with two terms.

The given binomial is;

[tex]\rm 9x^2 -64[/tex]

The binomial is determined in the following steps given below.

[tex]\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)[/tex]

Hence, the binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.

To know more about the Binomial factor click the link given below.

https://brainly.com/question/1493247

Answer:

$1.030 ($1.03 rounded.)

Step-by-step explanation:

First, we need to start of making an equation.

$2.36 + x = 6.48.

We will use x as the variable for the amount of each bottle of juice, because it is unknown.

Then, we must put the variable on one side of the equation. To do this, we must subtract $2.36 from $6.48; and $2.36 - $2.36.

We get the result that x = $4.12. However, only 1 pack is $4.12, and we must find the cost of 4 juice bottles. Therefor, we divide 4.12 by 4.

If Lillian bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48 then each juice bottle costs $1.03.

Let's denote the cost of each juice bottle as "x".

Since Lillian bought a 4-pack of juice bottles, the total cost of the juice is 4x.

Given that the total cost before tax was $6.48, we can set up an equation:

Cost of apples + Cost of juice = Total cost

$2.36 + 4x = $6.48

Now, solve for "x":

4x = $6.48 - $2.36

4x = $4.12

x = $4.12 / 4

x = $1.03

Hence, Each bottle of juice costs $1.03.

To learn more on Equation click here:

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Answer:

3:5

Step-by-step explanation:

Divide both numbers by 2

Keep dividing by 2 until you can't anymore.

12/2=6

20/2=10

6/2=3

10/2=5

Answer:

Its 280 so c

Hope this helps<3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The slope of the equation is

1- (-2)/-1-0 = 3/-1 = -3

the slope of y= -3x-2 is -3

50- select C

{ find the slope of the equation }

Answer:

im sorry theirs not eghou imformation

Step-by-step explanation:

Answer:

$13

Step-by-step explanation:

89 = 11 +6x

78 = 6x

x = 13

Answer:

13 dollars

Step-by-step explanation:

89-11=78

78/6=13

Answer:

8

Step-by-step explanation:

[tex]=\frac{1}{2}(a+b)-(a-b)\times2\\\\= \frac{1}{2}(18+14)-(18-14)\times2\\\\= \frac{1}{2}(32)-(4)\times2\\\\=16-8=8[/tex]

The interpretation of the slope in the equation y = 1.25x + 9.5 is that 1.25 inches of candles are made per hour

The linear model is given as:

y = 1.25x + 9.5

A linear model is represented as:

y = mx + b

Where;

m = slope

So, we have:

m = 1.25

This means that the interpretation of the slope is that 1.25 inches of candles are made per hour

Read more about slope at:

https://brainly.com/question/4074386

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Answer:

Right Triangles

Step-by-step explanation:

This is because in a right angled triangle, there is one angle that is equal to 90 degrees, and 2 that are 45 degrees each.

These 45 degree corners make up the corners of the square (45+45 = 90 = right angle = corner of square)

Hope this makes sense.

Answer:

3:22

Step-by-step explanation:

Answer: 81 π.

Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi.  However, this problem is in terms of pi, so we're just going to find the radius squared.  We're given the diameter, but we can simply cut it in half since the radius is half the diameter.  The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius.  9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.

Have a great day! :)

Answer: the area is 81π

Step-by-step explanation:

The formula is A=πr

^{2}

The raidius would be 9 (18/2)

A=π9^{2} 

π x 9^{2} = 81π

Decimal form: 254.469004941

Answer:

-5x-48y

---------

10

Step-by-step explanation:

There you go

Answer:

432

Step-by-step explanation:

you convert the pounds to ounces by multiplying the mass value by 16

Answer:

Solution for 9y+4-6y= equation: Simplifying 9y + 4 + -6y = 0 Reorder the terms: 4 + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y 4 + 3y = 0 Solving 4 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right.

Step-by-step explanation: