How far did you drive if you drove 2 hours at 55 miles per hour and 3 hours at 60 miles per hour?

Answer:

y=8x-69

Step-by-step explanation:

you would use the equation y-y1 = m (x - x1)

plug in m = 8 , y1 = 3, x1 = 9

now you have y - 3 = 8 (x-9)

distribute 8 --> y-3 = 8x - 72

add three to both sides to get y = 8x - 69

Answer:

[tex]y-3=8(x-9)[/tex]

Step-by-step explanation:

We are given that a line has a slope (m) of 8 and passes through the point (9,3).

We want to write the equation of this line.

There are three ways to write the equation of the line:

As the problem doesn't specify that we have to write the equation in a specific format, any one of the three work.

However, let's write it in point-slope form, as it is the easiest one to write in this case.  

As we are already given the point and the slope, we can plug them into the equation.

Starting with the slope, substitute 8 as m in the equation.

[tex]y-y_1=8(x-x_1)[/tex]

Now, substitute 9 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].

We get:

[tex]y-3=8(x-9)[/tex]

Answer:

Step-by-step explanation:

common ratio= second term/first term

=[tex]\frac{16}{64}=\frac{1}{4}[/tex]

64, 16, 4, 1, ...

1*1/4 = 1/4

64, 16, 4, 1, 1/4

Answer: Divide the room into two figures (a rectangle and a trapezoid), then find the area of both figures and add them in order to calculate the area of the dining room.

Step-by-step explanation:

Divide the room into two figures: a rectangle and a trapezoid (as you can observe in the picture attached).

You need to find the area of the trapezoid and the area of the rectangle and then add them. This sum will be the area of the dining room.

First, you need to remember that:

1. The area of a rectangle can be calculated with this formula:

[tex]A_r=lw[/tex]

Where "l" is the lenght and "w" is the width of the rectangle.

2. The following formula is used to calculate the area of a trapezoid:

[tex]A_t=h(\frac{B+b}{2} )[/tex]

Where "B" and "b" are the bases of the trapezoid and "h" is the height of the trapezoid.

Therefore, the area of the dining room will be:

.[tex]A_{room}=A_r+A_t\\\\A_{room}=lw+h(\frac{B+b}{2} )[/tex]

Answer:

Break the figure into two rectangles and two triangles. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of the dining room.

Step-by-step explanation:

Break the figure into two rectangles and two triangles. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of the dining room.

Answer:

Step-by-step explanation:

Six less than the product of 4 and a number is equal to 2:

n - the number

[tex]4n-6=2[/tex]    add 6 to both sides

[tex]4n-6+6=2+6[/tex]

[tex]4n=8[/tex]            divide both sides by 4

[tex]\dfrac{4n}{4}=\dfrac{8}{4}[/tex]

[tex]n=2[/tex]

Answer:

See attachment

Step-by-step explanation:

The given system is

2x-y=4

x-y=-2

We write the system in slope-intercept form:

y=2x-4

y=x+2

The first equation has slope of 2 and y-intercept at (0,-4)

When y=0, x=2.

We plot (0,-4) and (2,0) to graph this first equation.

The second equation has a slope of 1 and a y-intercept at (0,2)

Also when y=0, x=-2.

We plot (0,2) and (-2,0) and draw a straight line through them.

The graph of the system is shown in the attachment.

Answer:

It's expected that Jason make 16 out of 20 free throws

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Jason's free-throw scoring average = 80%

2. In a recent game Jason attempted 20 free throws. How many free throws would you expect him to make?

Free throws expected to make by Jason = 20 * 80%

Free throws expected to make by Jason = 16

Answer:

$36

Step-by-step explanation:

Plz give me brainliest as i just need 3 more plz plz plz

To calculate the sale price of the sweatshirt, multiply the original price by the discount rate to get the discount amount and subtract from the original price. The sweatshirt is now priced at $24.

We can find the amount discounted by multiplying the original price of the sweatshirt by the discount rate. So, we calculate 60% of $60. First distinguish that 60% is the same as 0.60 in decimal form. Therefore, we multiply $60 by 0.60 (60%) to get $36. This is the amount that is discounted from the original price. To find the new price after discount, subtract this amount from the original price. So, $60 - $36 equals $24. Therefore, the sweatshirt on sale is now priced at $24.

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18/18 is a proper fraction.

Answer:

$7.50 and cookies sell for $ .40

Step-by-step explanation:

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Final answer:

Laura earns $18 per hour, and for 8 hours of work, she would make $144.

Explanation:

The question asks us to determine how much Laura would make for 8 hours of work, given that she made $324 for 18 hours of work. To find the hourly rate, we divide the total amount earned by the total hours worked. Then we multiply the hourly rate by the number of hours we want to find the earnings for.

To calculate Laura's hourly rate: $324 / 18 hours = $18 per hour.

Now, we can find out Laura's earnings for 8 hours: $18 per hour * 8 hours = $144.

Therefore, Laura would make $144 for 8 hours of work at the same rate.

Answer:

To solve we must evaluate the expression. In order to evaluate, all you have to do to solve is replace the r with its value of 4 and multiply it by -3. Then, you must add that product to 8.

Step-by-step explanation:

-3r    + 8

-3(4) + 8

-12   + 8

-4

I hope this helps!

- sincerelynini

Answer:

-4

Step-by-step explanation:

-3r+8

-3(-4)+8

-12+8

-4

Answer: x = -1 and x = 1

Step-by-step explanation:

The solution to f(x) = g(x) is the point at which the two intersect , that is , the point at which they are equal. Checking through the table given ,it is only 9 and 12 that is common to both f(x) and g(x) .

Therefore : the solution to f(x) = g(x) is the point where x = -1 and x = 1

Answer:

Can some one help me with mine I’m failing

Step-by-step explanation:

Answer: x = square root of -x + 3 / 2

Step-by-step explanation:

2x^2 + x - 1 = 2

add 1 to both sides

2x^2 + x = 3

subtract x from both sides

2x^2 = -x + 3

square root both sides

2x = square root of -x + 3

divide by 2

x = square root of -x + 3 / 2

Answer:

Step-by-step explanation:

hello :

2x² + X - 1 = 2

2x² + X - 1 -2 = 2-2

2x² + X - 3 =0

(x-1)(2x+3) =0

x-1=0 or 2x+3 = 0

x =1 or x= -3/2

Answer:

the answer is 9/8

Step-by-step explanation:

No. of games=85

No. of wins= 40

no. of losses= 85 - 40

= 45

ratio= 40/45

= 9/8

Answer:

The Total earning of Paula riddle from 6 pm to 11 pm is $7.25  

Step-by-step explanation:

Given as :

Paula riddle charges per hour before 9 pm = $2.25 per hour

Paula riddle charges per hour after 9 pm = $2.75  per hour

Let The Total earning of Paula riddle from 6 pm to 11 pm = $A

Now, According to question

∵ before 9 pm , charges = $2.25 per hour

The time spend between 6 pm to 9 pm = 3 hours

So, The charge between 6 pm to 9 pm = $2.25 per hours × 3 hours

i.e  The charge between 6 pm to 9 pm = $6.75

Again

After 9 pm , charges = $2.75 per hour

The time spend between 9 pm to 11 pm = 2 hours

So, The charge between 9 pm to 11 pm = $2.75 per hours × 2 hours

i.e  The charge between 9 pm to 11 pm = $5.5

So, The Total earning of Paula riddle from 6 pm to 11 pm =  charge between 6 pm to 9 pm + charge between 9 pm to 11 pm

i.e A = $6.75 + $5.5

Or, A = $7.25

So, The Total earning of Paula riddle from 6 pm to 11 pm = A = $7.25

Hence, The Total earning of Paula riddle from 6 pm to 11 pm is $7.25  Answer

Answer:

$7.25

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

Let

y ---> the distance in miles    

x ---> the time in minutes

Remember that

[tex]1\ h=60\ min[/tex]

[tex]766\frac{2}{3}\ mi=\frac{766*3+2}{3}=\frac{2,300}{3}\ mi[/tex]

we have the ordered pairs

[tex](20,\frac{2,300}{3}),(60,2,300)[/tex]

Find the slope

[tex]m=(2,300-\frac{2,300}{3})/(60-20)[/tex]

[tex]m=(\frac{4,600}{3})/(40)[/tex]

[tex]m=\frac{4,600}{120}\\\\m=\frac{115}{3}\ mi/min[/tex]  

Find the linear equation in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=\frac{115}{3}[/tex]

[tex]point\ (60,2,300)[/tex]

substitute

[tex]y-2,300=\frac{115}{3}(x-60)[/tex]

[tex]y-2,300=\frac{115}{3}x-2,300\\\\y=\frac{115}{3}x[/tex]

Is a proportional relationship between the variables x and y (speed)

For y=1,150 miles

substitute the value of y in the linear equation and solve for x

[tex]1,150=\frac{115}{3}x\\\\x=1,150(3)/115\\\\x=30\ minutes[/tex]

Final answer:

It takes approximately 30 minutes for the shadow to travel 1,150 miles during a solar eclipse.

Explanation:

To determine the time it takes for the shadow to travel 1,150 miles, we can set up a proportion using the given information. Let's call the time it takes to travel 1,150 miles 't'. We can set up the proportion:

766.67 miles / 20 minutes = 1,150 miles / t

Now, let's solve for 't'. We can cross-multiply:

766.67 * t = 20 * 1,150

Divide both sides by 766.67:

t = (20 * 1,150) / 766.67

Simplifying the right side of the equation gives us:

t ≈ 30

Therefore, it takes approximately 30 minutes for the shadow to travel 1,150 miles.

Answer:

3 and 8

Step-by-step explanation:

6,240/3=2080

6,240/9=693.3333333.....

6,240/780

Answer:

the answer is b

Step-by-step explanation:

Answer: 400 sq root is=20

Step-by-step explanation:

400sq root=20

Answer:

The the square root of 400 is 20.

Step-by-step explanation:

Answer:8.300

Step-by-step explanation:

Answer:

8.36

the hundredth place is the second decimal place

Answer:

x = 12

Step-by-step explanation:

Pythagoras' Theorem

[tex]a^{2} = b^{2} + c^{2}[/tex]

a = 13

b = 5

c = x

[tex]13^{2} = 5^{2} + x^{2}\\169 = 25 + x^{2}\\169 - 25 = x^{2}\\144 = x^{2}\\12 = x[/tex]

After applying the Pythagorean theorem on the given right-angled triangle the value of x we get 12.

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

The Pythagoras theorem for a right-angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

For the given triangle:

The hypotenuse 'MC' = 13

The perpendicular 'MN' = 5

Base 'NC' = x

Substituting these values into the Pythagorean theorem:

(13)²= (5)² + (x)²

Simplifying the square,

169 = 25 + x²

Subtracting 25 we get,

x² = 144

Take square root on both sides,

x = 12

Hence,

The value of x is 12.

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Answer:

-6x+10

Step-by-step explanation:

-2(3x-5)=-6x+10

Answer: -6x+10

Step-by-step explanation:

-2 times 3x is -6x and -2 times -5 is positive 10

Step-by-step explanation:

to work out surface area you need to figure out the area of each face on the shape.

the first side is 7.5 x 9 = 67.5

there are two of these sides

this makes 135mm

the top side is (4.5 x 6) / 2

this makes 13.5

there are also two of these sides making 27mm

finally the back side is 4.5 x 9 = 40.5

there are only one of these sides

this makes 40.5mm

finally you need to add all these sides

135 + 27 + 40.5 = 202.5

the surface area is 202.5mm

Answer:

Step-by-step explanation:

28.80 = 360x%

28.80 / 360 = x%

0.08 = x%

8% = x <====

To find the sales tax rate, divide the sales tax amount ($28.80) by the cost of the item before tax ($360) to get 0.08. Multiplying this by 100 converts it to a percentage, thus, the sales tax rate is 8%.

The subject of your question is related to sales tax calculations, a topic under mathematics. To find the sales tax rate, we should divide the amount of sales tax by the original cost of the item, then multiply the result by 100 to get the percentage.

Here are step by step calculations:

Therefore, the sales tax rate is 8%.

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Answer:

His mom will be 33 years old.

Step-by-step explanation:

Since Adrian is 8, 3 years from now he will be 11. 11 is 1/3 of 33. So, his mom is currently 30 years old.

Answer:

Answer C

Step-by-step explanation:

The probability that a randomly selected dog is female, given it is a Chihuahua, is 3/11. This is calculated by dividing the number of female Chihuahuas (3) by the total number of Chihuahuas (11) in the store.

Probability of Selecting a Female Chihuahua

First, let's determine the total number of Chihuahuas in the store. Since the store has 25 dogs and 14 of them are not Chihuahuas, we subtract 14 from 25 to get the number of Chihuahuas:

25 - 14 = 11

There are 11 Chihuahuas in the store. We are given that there are 3 female Chihuahuas. Therefore, the probability that a randomly selected dog is a female Chihuahua is the number of female Chihuahuas divided by the total number of Chihuahuas:

Probability = Number of Female Chihuahuas / Total Number of Chihuahuas = 3 / 11

This calculation gives us the probability of 3/11 that a dog selected at random is female, given it is a Chihuahua.

Each of the 4 payments made by Mr. Wilson will be $72.10.

How much will each payment be?

From the question, we have the following parameters that can be used in our computation:

Amount owed = $288.40

Number of payments = 4

To calculate the amount of each payment, we can divide the total amount owed by the number of payments:

Amount per payment = Total amount owed / Number of payments

Substitute the known values into the equation

Amount per payment = $288.40 / 4 =

Amount per payment = $72.10

Hence, each payment will be $72.10.

Answer:Just add the top numbers on all of them :)

Step-by-step explanation:

Answer:

When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5

That is  4x+7z-x+5-(4z)=3(x+z)+5

Step-by-step explanation:

Given expression is 4x+7z-x+5-(4z)

To combining the given expression to solve it as below :

4x+7z-x+5-(4z)

=4x+7z-x+5-4z

=4x-x+7z-4z+5  ( combining the like terms of x and z )

=3x+3z+5 ( here adding the like terms )

=3(x+z)+5 ( taking the common factor )

Therefore 4x+7z-x+5-(4z)=3(x+z)+5

When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5

That is  4x+7z-x+5-(4z)=3(x+z)+5

Answer:

a-4b

Step-by-step explanation:

4a+(-6b)-3a+2b

4a-6b-3a+2b

4a-3a-6b+2b

a-6b+2b

a-4b