Graham drove 42 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour? Use pencil and paper. Describe a situation in which the unit rate would be easier to work with than the given rate.​

Answer:

6

Step-by-step explanation:

3! = 3 x 2 x 1 = 6

Answer:

b(x) = 10x - 30

Step-by-step explanation:

You are given that f(x) = 10x, so in-order to graph the equation, you must plugin the value of f(x).

This gives the equation b(x) = 10x - 30

or y= 10x - 30

The slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the function -

f(x) = 10x

We have the function -

f(x) = 10x

Now -

b(x) = f(x) - 30

b(x) = 10x - 30

This is the equation of a straight line.

Refer to the graph attached.

The slope of the line is [m] = 10

The [y] intercept is at [c] = - 30

Therefore, the slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

To solve more questions on straight lines, visit the link below-

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Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line u is - [tex]\frac{9}{4}[/tex]

Answer:

I don't know haha

Step-by-step explanation:

Salamat nalang sa points

Answer:

the whole pizza would cost $5.20

Step-by-step explanation:

1/8 = $0.65

8/8 = 1 = $5.20

0.65 × 8 = 5.2

is this what you mean??

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!

Answer:

yessssssss have a nice day

Answer:

yes in this problem u would multiply the exponents due to the parenthesis, equaling 5^18

Answer:

80%

Step-by-step explanation:

800-160=640

640/800=.8

.8=80%

Answer:

Parallel line slope = - 1/2

Perpendicular line slope = 2

Step-by-step explanation:

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Step-by-step explanation:

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

Answer:

7

Step-by-step explanation:

Answer:

I would answer it correctly but only 5 points -_-

Step-by-step explanation:

Answer:

X=12°

y=60°

Step-by-step explanation:

75=6x+3

x=12°

y=180-(45+75)

y=60°

Answer:

20 pounds and 62p

Step-by-step explanation:

33 divided by 8 then you times it by 5

Answer:

y= x • 2

Step-by-step explanation:

The amount of money they make is dependent of how many 2 dollar cups they sell.

(please crown me brainleist I need to level up)

Answer:

k but where is the graph

Step-by-step explanation:

Answer:

-4/5 will be bigger.

Step-by-step explanation:

This is true as -4/5 is equal to -.8 compared to -.888888888.

Answer:

2.5 km long after 59 miles

Answer:

50 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

Prime numbers has only two factor 1 and the number itself

Here, 2 , 3  prime factors

36 = 2 * 2 * 3 * 3

Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer:

Step-by-step explanation:

Step-by-step explanation:

Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y-intercept, we can write the equation in point-slope form.

I hope this will help you out!

The equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

We need to check why might we write the equation in point-slope form instead of slope-intercept form.

Point slope form is used to represent a straight line using its slope and a point on the line. That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form. Different forms can be used to express the equation of a straight line. One of them is point slope form. The equation of the point slope form is: y - y1 = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.

We use point-slope form with one coordinate and slope.

Therefore, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

To learn more about the point slope form visit:

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⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to given information,

a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0

that is :

b.) rate of change = slope

c.) Let's

and according to above data :

so, the required equation is :

put this equation in blank - 3 ~

[tex]{ \qquad{ \sf \green{Answer \downarrow}}}[/tex]

Subtract 16  from both sides of the equation.

[tex]{ \qquad{\longmapsto \sf \red{2x + 16 - 16 = 8 - 16}}}[/tex]

Subtract the numbers

[tex]{ \qquad{\longmapsto \sf \red{2x = 8}}}[/tex]

Divide both sides of the equation by the same term.

[tex]{ \qquad{\longmapsto \sf \green{ \frac{2x}{2} = \frac{ 8}{2} }}}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]{ \qquad{\longmapsto \sf{ \qquad\longrightarrow\quad\sf \dfrac{\cancel{2x}}{\cancel{2} } = }}}\qquad\quad\sf\dfrac{\cancel{ 8}}{\cancel{2}}[/tex]

[tex]{ \qquad{\longmapsto \sf{x = {\qquad{ \sf \pink{ 4}}}}}}[/tex]

[tex]{ \red{ \rule{9cm}{0.1cm}}}[/tex]

Answer:

4019800

Step-by-step explanation:

number name

4 million 19 thousand 800

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29