A car traveled 180 miles at a constant rate. Write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if it traveled for t hours

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]

______________________________

 - You combine since these are like terms.

Equation at the end of Step 1:

 - We divide because we want to get x alone.

Equation at the end of Step 2:

 - We turned this into a fraction because we couldn't divide properly.

 - This step just means divide the lowest amount possible, which in this case is 5.

______________________________

Answer:

independent

Step-by-step explanation:

Answer:

We’ll, I need the table to answer that.

Step-by-step explanation:

Answer:

8 fruits

Step-by-step explanation:

Todd and agnes are making desserts. todd buys

peaches and a carton of vanilla yogurt. agnes

buys apples and a jar of honey. they bought

the same number of pieces of fruit. is there a

situation in which they pay the same amount for

their purchases? explain.

apples

peaches=

$1.25 for peaches

$1.00 for apples

yogurt

honey=

$4 for yogurt

$6 for honey

Todd:

Peaches + yogurt

1.25x + 4

Agnes:

1.00x + 6

Where,

x = number of pieces of fruit

Equate the cost of Todd and Agnes

1.25x + 4 = 1.00x + 6

1.25x - 1.00x = 6 - 4

0.25x = 2

x = 2/0.25

= 8

x = 8 fruits

The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each

-6 is the slope of the given table which represents a linear function.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let the equation of line be represented as A

The values of x = { -2 , -1 , 0 , 1 , 2 }

The value of y = { 8 , 2 , -4 , -10 , -16 }

Let us take any two points to find the slope.

(-2, 8) and (-1, 2) are the two points

Slope = 2-8/-1+2

=-6/1

=-6

Hence, -6 is the slope of the given table which represents a linear function.

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The table represents a linear function

X

-2

-1

0

1

2

Y

8

2

-4

-10

-16

What is the slope of the function

-6

-4

4

6

Answer:

[tex]\huge\boxed{y=4x-7}[/tex]

Step-by-step explanation:

Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.

The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.

Now that we know both changes, we can divide the change in y by the change in x.

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

Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).

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

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

[tex]y=4x-7[/tex]

Hope this helped!

Answer:

The number of heating degree days is 16.5.

Step-by-step explanation:

First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:

[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)

[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]

[tex]T = 48.5\,^{\circ}F[/tex]

And the number of heating days is:

[tex]H = 65-48.5[/tex]

[tex]H = 16.5[/tex]

The number of heating degree days is 16.5.

Answer:

All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.

Step-by-step explanation:

Answer:

(1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

4x + y = 2

y = x - 3

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

The answer is D

Step-by-step explanation:

If you plug them into Desmos, they'll line up

Answer:

boottom left middle left and top right

Step-by-step explanation:

Answer:

Nebula

Step-by-step explanation:

Answer:

I don't think it's possible for this to be a decimal because the slope is positive 11.

Step-by-step explanation:

Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.

Answer:

Red, Yellow, Blue

Step-by-step explanation:

They are the primary colors,

or you can use Violet, Green, And Orange

These are secondary colors

Answer:

132 m

Step-by-step explanation:

distance= speed*time

d=0.4*330

=132

The distance between the director and the drum will be; 132 m.

Speed can be calculated as the ratio of distance traveled to the time taken.

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.

Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.

The formula of the sound in correlation with time of hear and distance is ;

time of hear = speed of sound : distance.

As per data given, time of hear = 0.40s;

speed of sound = 330 m/s.

The distance will be:

Distance= speed  x time

d = 0.4 x 330

d = 132

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Answer:

1/15

Step-by-step explanation:

1.) Make the denominator equal by turning the 5 into a 15 (In order to subtract it properly)

2.) Make the 2 correspond with the denominators. In this case multiply by 3 because 5 goes in to 15 3 times. Equation Now: 7/15 - 6/15

3.) Subtract the numerators to get your answers

4.) Final Answer: 1/15

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

Answer:

The answer would be 127. 03

Step-by-step explanation:

Answer:

sometimes is called the cost or wholesale price

Answer:

Step-by-step explanation:

This is a simplified solution.

Answer:

Please check solution for answer

Step-by-step explanation:

The general equation of for the slope of a line is

y = mx + c

where m is slope and c is the y-intercept

a). Yes it is in the slope-intercept form

b) The slope would represent the amount of money in dollars per week that is in the wallet

c) The y-intercept would be 125 and it is the amount of money present in the wallet before today

d) The slope would have a unit of dollars per week

Answer:

the answer is -43 it is right

Answer:

-43

Step-by-step explanation:

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

Answer:

what are you supposed to solve for?

Step-by-step explanation:

Answer:

Can anyone say what are we supposed to ans or solve

Answer:

Line 1 is y=-x-2

Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]

Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]

Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2

Following statements true: 1, 2, 4

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

Answer:

You need 6, 1/8 parts to make 3/4

Step-by-step explanation:

The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4

6/8ths is the correct answer

bruh

Answer:

I = $31,250

Step-by-step explanation:

Para resolver este problema debemos de hacer uso de la ecuación de interés compuesto (en este caso en particular, también se podría utilizar la ecuación de interés simple, ya que solo se está capitalizando el interés durante un período)

[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]

En donde:

FV = Valor futuro

PV = Valor presente

r = tasa de interés

n = número de períodos de capitalización de intereses por año

t = número de años.

En este caso queremos conocer el valor futuro y conocermos el resto de variables:

PV=$500,000

r=0.0625

n=1

t=1

por lo que la fórmula se verá de la siguiente manera al sustituir los valores:

[tex]FV=500,000(1+\frac{0.0625}{1})^{(1)(1)}[/tex]

Al resolver la función obtenemos un valor de:

FV=$531,250

Como lo que nos interesa es conocer el interés, entonces le restamos el valor presente al valor futuro y obtenemos:

I=FV-PV=$531,250-$500,000

I=$31,250

La cual es nuestra respuesta.

Answer:

Acute triangles or also called as acute-angled triangles

Answer:

equilateral triangle is always all acute nothing else