Nick's phone bill is $50 per month plus $0.25 for every text message. If his bill was $108 this month, how many
text messages did he send?

Answer:

Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.

Step-by-step explanation:

We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:

5(1) + 4 = 9

Order of operations, multiply first...

5(1) = 5

Then it becomes...

5 + 4 = 9

We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.

5(0) + 9 = 9

Then...

5(0) = 0

0 + 9 = 9

We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.

5(3) + -6 = 9

That is equal to:

5(3) - 6 = 9

Simplify...

5(3) = 15

15 - 6 = 9

15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!

Answer:

Mercury 1.3, Venus 3.3, Jupiter 39.2, Saturn 33.1, Uranus 14, Neptune 13.6

Step-by-step explanation:

The scaled diameter of each planet is:

Mercury - 1.3 cm

Venus - 3.3 cm

Jupiter - 39.2 cm

Saturn - 33.1 cm

Uranus - 14 cm

Neptune - 13.6 cm

Given,

The ratio between the earth's actual diameter and its scaled diameter can be used to find the scaled diameter of the other planets.

Earth's diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table.

Using the calculations shown, Mars's diameter of 6,792 would be scaled to 1.9 centimeters.

Use this same process to complete the table with the scaled diameters of the other planets.

Round each answer to the tenths place.

If two given ratios are equal we say that the ratios are in proportion.

Example:

1/2 and 4/8 are in proportion.

- 1/2

- 4/8 = 1/2

We have,

Earths diameter = 12,756 km

It is scaled to 3.5 cm

The ratio is:

= 12,756 km /3.5 cm

Since each planet is in proportion with each planet.

We have,

Let the scaled diameter be d.

- Mercury d

12,756 / 3.5 = 4879 / d

d =  (4879 x 3.5) / 12756

d = 1.3 cm

- Venus d

12,756 / 3.5 = 12104 / d

d = (12104 x 3.5) / 12756

d = 3.3 cm

- Jupiter d

12,756 / 3.5 = 142984 / d

d = (142984 x 3.5) / 12756

d = 39.2 cm

- Saturn d

12,756 / 3.5 = 120,536 / d

d = (120536. x3.5) / 12756

d = 33.1 cm

- Uranus d

12,756 / 3.5 = 51118 / d

d = (51118 x 3.5) / 12756

d = 14 cm

- Neptune d

12,756 / 3.5 = 49, 528 / d

d = (49528 x 3.5) / 12756

d = 13.6 cm

Thus the scaled diameter of each planet is:

Mercury - 1.3 cm

Venus - 3.3 cm

Jupiter - 39.2 cm

Saturn - 33.1 cm

Uranus - 14 cm

Neptune - 13.6 cm

Learn more about ratios in proportion here:

https://brainly.com/question/26974513

#SPJ2

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Slope (m): (-1/2)

down one, right two

y-intercept (b): 4

y = mx + b

The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]

To find the slope, you must put the 2 points into the slope equation.

[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]

And to find the y-intercept, you must find where the line crosses the y-axis.

(0,4)

Answer:

80 degrees

Step-by-step explanation:

both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80

Answer:

80

Step-by-step explanation:

Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200

360-200 = 160

160/2 = 80

I hope this helps enjoy your day!

1. meters/second

2. $/pound

3. $/ tire

4. people/class

5. miles/gallons

6. calories/serving

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Answer:

The Division Property is used to create Step 4

Answer:b

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its D i took test 2020 edge

The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let x be the original price of the item. Then, we can write the equation:

x - 0.55x = 31.50

from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price

Simplifying the given equation, we get:

0.45x = 31.50

Dividing both sides by 0.45, we get:

x = 70

Therefore, the original price of the item was $70.

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

Answer:

83 points.

Step-by-step explanation:

Answer:

The correction is  D

Step-by-step explanation:

From the question we are told that

    The maximum height is  [tex]h_m = 18 ft[/tex]

    The minimum height is [tex]h_i = 4 ft[/tex]

     The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds

 Now at maximum height

       [tex]18 = - 14 sin(x) + 18[/tex]

=>     [tex]-14 sin(x) =0[/tex]

=>     [tex]sin(x) =0[/tex]        

=>     [tex]x =sin^{-1}[0][/tex]

=>     [tex]x =0 \ s[/tex]    

 Now at minimum  height

        [tex]4 = -14 sin(x) + 18[/tex]

=>      [tex]-14 = -14 sin(x)[/tex]

=>     [tex]sin (x) = 1[/tex]

=>     [tex](x) = sin^{-1}[1][/tex]

=>     [tex]x = 1.6 \ s[/tex]

Now this values is the time taken to move from the higher position of the blade to the lower position of the blade

Now it will take this same amount of time to complete the circle

So the total time take is

    [tex]x_t = 2 * |x|[/tex]

=>   [tex]x_t = 2 * 1.6[/tex]

=>   [tex]x_t = 3.2 \ s[/tex]

Answer:

2/3

24/36

32/48

are all equivalent to 8/12

Answer:

32/48

Step-by-step explanation:

32 divided by 4 is 8

48 divided by 4 is 12

Answer:

0

Step-by-step explanation:

5(x+3) replace x with -3

5(-3+3)

5(0)

0

If a=2 then you would have u=3b-2(2) or u=3b-4 :)

Answer:

Step-by-step explanation:

B= 2/3a-2//3+1/3u, u equals R, A equals r

A=3/2b+1-1/2u, u equals R b equals R

Answer:

The answer is B.8 games,9 rides

Answer: 2 inches

Step-by-step explanation:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

Answer:

ll

Step-by-step explanation:

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

Answer is -4

REAL NAME - SHRESTH DUBEY

-4 is the Answer.

-32/8 would be -4

Answer:

$5.58

Step-by-step explanation:

Because divide 12 by 67:

67 ÷ 12 = 5.58

5.58 is the answer

Hope this helped! Pls Brainliest!

Answer:

$5.58

Step-by-step explanation:

$67.00÷12=$5.58

Hope this helps!

Answer:

162

Step-by-step explanation:

I think this is right because angle one is the same as angel two

18*2=36

360-36=324

324/2=162

Answer:

2= 162*

Step-by-step explanation:

magic

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges [tex]= 10+12t[/tex]

For Tami's Toning,

Total charges [tex]=14t[/tex]

Now solve [tex]10+12t=14t[/tex]

[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]

So, total cost of membership will be the same for both gyms after 5 months.

Answer:

A & B

Step-by-step explanation:

See attachment for complete question

Given

[tex]y = \frac{1}{2}x[/tex]

Analyzing the given options

Option A:

[tex]6y = 3x[/tex]

Divide both sides by 6

[tex]\frac{6y}{6} = \frac{3x}{6}[/tex]

[tex]y = \frac{3x}{6}[/tex]

[tex]y = \frac{1}{2}x[/tex]

This is true for the given expression:

Option B:

From the graph:

x = 2, when y = 1

x = 4, when y = 2

Solving for the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

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

The equation is then calculated as:

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

[tex]y - 1 = \frac{1}{2}(x - 2)[/tex]

[tex]y - 1 = \frac{1}{2}x - 1[/tex]

Add 1 to both sides

[tex]y - 1 +1 = \frac{1}{2}x - 1 + 1[/tex]

[tex]y = \frac{1}{2}x[/tex]

This is also true for the given expression.

Option C:

From the graph:

x = 2, when y = 4

x = 4, when y = 8

Solving for the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8 - 4}{4 - 2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex]

The equation is then calculated as:

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

[tex]y - 4 = 2(x - 2)[/tex]

[tex]y - 4 = 2x - 4[/tex]

Add 4 to both sides

[tex]y - 4 + 4= 2x - 4 + 4[/tex]

[tex]y = 2x[/tex]

This isn't true for the given expression.

Option (D):

From the table:

x = 2, when y = 1

x = 4 when y = 3

Solving for the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3 - 1}{4 - 2}[/tex]

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation is then calculated as:

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

[tex]y - 1 = 1 * (x - 2)[/tex]

[tex]y - 1 = x - 2[/tex]

[tex]y = x - 2 +1[/tex]

[tex]y = x - 1[/tex]

This isn't true for the given expression.

Answer:

A,B, and E

Step-by-step explanation:

trust me.

Answer:

it is an acute angle

Step-by-step explanation:

less then 90° is a acute and above 90° angle is an obtuse

Answer: A rotation of 180° around the origin.

Step-by-step explanation:

When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.

This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.

Now, let's analyze our case:

First a reflection over x-axis, and then a reflection over the y-axis.

This means that if our point starts in quadrant 1 then:

-The reflection over the x-axis will leave our point in quadrant 4.

-The reflection over the y-axis will leave our point in quadrant 3.

Now, if our point stated on quadrant 2.

-The reflection over the x-axis will leave our point in quadrant 3.

-The reflection over the y-axis will leave our point in quadrant 4.

So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.

This means that:

The distance between our point and the x-axis does not change.

The distance between our point and the y-axis does not change.

But if the distances to both axes do not change, then the distance between our point and the origin also does not change.

This means that we can find a rotation that is equivalent to this transformation.

So we must look at a rotation that moves our point 2 quadrants.

a rotation that moves our point 2 quadrants will be:

A rotation of 180° around the origin.

Answer:

x=8

Step-by-step explanation:

set the equations equal to themselves and solve

3x-9=2x-1

+9 and -2x

x=8

Check:

3(8)-9=2(8)-1

24-9=16-1

15=15