A car rental company charges $28 per day for a rented car and $0.50 for every mile driven. A second car rental
company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both
companies charge the same amount for a one-day rental?

Answer:

[tex]\huge\boxed{\bf\:-6 = t}[/tex]

Step-by-step explanation:

[tex]-11 = t - 5[/tex]

Bring - 5 to the right hand side of the equation.

[tex]-11 = t - 5\\-11 + 5 = t\\\boxed{\bf\:-6 = t}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Hii student!

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[tex]\ddagger\leadsto\mid\boldsymbol{Answer.}\mid\gets\ddagger[/tex]

 The value of t = -6

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[tex]\ddagger\leadsto\mid\boldsymbol{explanation!}\mid\gets\ddagger[/tex]

We have the equation [tex]\sf -11=t-5}[/tex]. And what we need to do is solve for the variable, t.

                                            ↪

To solve for the variable, we should ensure that the variable we need to solve for is all by itself on one side of the equation.

T is not all by itself, [tex]\because[/tex] 5 is subtracted from it.

So what do we do to "remove" that 5 from there? Wouldn't it be great if there was a zero instead of the -5?

We can make that happen by adding 5 to both sides.

We add 5.

[tex]\sf -11=t-5+5}\\-11=t+0}\\-11=t[/tex]

[tex]\bullet[/tex] However, we also need to add 5 to the other side.

[tex]\sf -11+5=t}[/tex]

Simplify!

[tex]\sf -6=t}[/tex]

NOW the variable, t, is all by itself.

                                      ↪

Tip: Why not check your work and make sure there are no mistakes?

We can proof-read, but we can also do this:

[tex]\sf -11=-6-5}[/tex]. Upon simplification, we obtain

[tex]\sf -11=-11[/tex]

Since both sides (the left hand side, l.h.s. and  the right hand side, r.h.s. are the same, our solution, t=-6, is correct. Great job!

--

Hope that this helped! Best wishes,

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

[tex]\boldsymbol{-Greetings!-}[/tex]

--

Answer:

2 miles

Step-by-step explanation:

A rectangle has two widths

7 + 7 = 14

18-14=4

It also has two lengths

4/2=2

2 miles

Hope this Helps

Happy Earth day

Answer:

2 miles

Step-by-step explanation:

Perimeter is figured out by adding all 4 sides of a rectangle.

So if the width is 7 miles on 1 side, the other width side is also 7 miles.

If the perimeter was 18 miles and 14 miles of that was the width on both sides, that leaves only 4 miles left for the 2 length sides.  That means each length side is 2 miles.

Check the picture below.

we have three sides, let's look at the two smaller sides first.

check picture atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check picture below

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 11.

well, needless to say, the 16 cm side, is outside that range, so, hmmm no dice.

Answer:

Kim 52.5 miles, Darren 45 miles

Step-by-step explanation:

Kim drove 35 mph:

    35 mph x 1.5 hours = 52.5 miles

Darren drove 30 mph:

    30 mph x 1.5 hours = 45 miles

Answer:

See below ↓↓

Step-by-step explanation:

Formulas to keep in mind

Solving

⇒ 1/3πr₁²h = 4/3πr₂³

⇒ r₁² x 96 = 4 x r₂³

⇒ r₂³ / r₁² = 24

⇒ r₂ (Radius of sphere) = 2.88 units

⇒ r₁ (Radius of cone) = 1 unit

A correlation coefficient is a numerical index that reflects the relationship between two variables.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

The given blank in the sentence can be filled with two variables.

Hence, A correlation coefficient is a numerical index that reflects the relationship between two variables.

Learn more about Correlation Coefficients:

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Answer:

20 Bags

Step-by-step explanation

The total costs would be given by the formula:

Total $ = (Bags of Food)*(Cost/bag)

We know total cost and price per bag:

$655 = (Bags of Food)*($32.75/bag)

Bags of Food = ($655/$32.75)

Bags of Food = 20 Bags

Answer:

The answer of point 4 is:

[tex]distance = \sqrt{ {4}^{2} + {11}^{2} } \ = (11.70469991072)[/tex]

The number of times Leah is expected to select a pen that is red or green is 460 and the expression is 23/40 * 800

The distribution of the pen is given as:

Red = 5

Green = 18

Blue = 17

The number of red or green pen is:

Red or green = 5 + 18

Evaluate

Red or green = 23

In a selection of 800 pen, the expected number of red or green pen is:

E(x) = 23/(5 + 18 + 17) * 800

Evaluate the sum

E(x) = 23/40 * 800

Evaluate the expression

E(x) = 460

Hence, the number of times Leah is expected to select a pen that is red or green is 460

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Answer:

[tex]y = 36 \\ z = 54[/tex]

Step-by-step explanation:

[tex]3y + 2y = 180 \\ 5y = 180 \\ y = 36[/tex]

[tex]y + z + 90 = 180 \\ y + z = 90 \\ 36 + z = 90 \\ z = 90 - 36 \\ z = 54[/tex]

Answer:

x = 4

Step-by-step explanation:

Given: 190x + 700 = 1,460

1. Subtract 700 from both sides:

190x + 700 - 700 = 1,460 - 700

190x = 760

2. Divide both sides by 190 to isolate x:

190x ÷ 190 = 760 ÷ 190

x = 4

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Answer:

x = 1 / 2 ( or ) 0.5

Step-by-step explanation:

4x - y = 5

Substitute the value of y = - 3 in the given equation,

4x - ( - 3 ) = 5

4x + 3 = 5

4x = 5 - 3

4x = 2

x = 2 / 4

x = 1 / 2 ( in terms of fraction )

                  ( or )

x = 0.5 ( in terms of decimal )

Note : -

- ( - 3 ) can be written as - 1 x ( - 3 ).

When a negative number is multiplied with another negative number, the result will be positive number.

Hence,

- ( - 3 ) = + 3

Answer:

F. 12

Step-by-step explanation:

There are two right triangles.

Hence, we can solve for the missing side using the Pythagorean Theorem using one of these triangles.

Let's take the left one.

The length of the altitude is 12.

The correct option is : F. 12

The length of an altitude is 12 units.

The correct option is 12.

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

As per the information provided, it is given that the triangle is an equilateral triangle.

The side of the triangle is 8√3 units.

To find the length of the altitude of the equilateral triangle:

Let the length of altitude is h units.

Then, as per Pythagoras' theorem,

h² =  (8√3)²- (4√3)²

h² = -16(3) + 64(3)

h = -48 + 192

h² = 144

h = 12

Therefore, h = 12 units.

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Answer:

This is not a function

Step-by-step explanation:

take your pencil, place it vertically. If it lines up with two coordinates on top of eachother, it is not a function.

Answer:

546

Step-by-step explanation:

4x3^7=2187

so now its

2187=4x+3

subtract 3 from both sides

now its

2184=4x

divide both sides by 4

546=x

Answer:

60%

Step-by-step explanation:

lets assume that the weight of K's bag is 100 just to make it easier.

K's bag=100

M's bag=120

D's bag=75

to find the percentage of M's bag over D's we divide D's over M's

75/120= 62.5%

Then round down to the nearest tens

62.5=60

Answer:

12

Step-by-step explanation:

When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1

So:

4÷1/3 would become 4×3/1

4×3/1 is the same as 4×3

So:

4×3=12

That's why the answer is 12.

Answer:

Step-by-step explanation:

8) angle 2 (or angle 3)

9) angle 4

10) angle 5

Answer:

(1) Angle 1 and angle __2__ are supplementary angles.

(2) Angle 8 and angle __4__ are corresponding angles.

(3) Angle 6 and angle __7__ are vertical angles.

Mark me brainliest please

Answer:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 6% per year compounded 1 times per year over 10 years is $4,477.12.

Answer:

option 2 12.6 inches

Step-by-step explanation:

the answer is 12.6 inches

Answer:

2 12.6 inches

Step-by-step explanation:

have a great day!

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

1). Slopes of ║ lines are equal.

2). Equation of the line passing through the point ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) is

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~~

y = [tex]\frac{1}{2}[/tex] x - 10 , slope m = [tex]\frac{1}{2}[/tex]

( 2 , 5 )

y - 5 = [tex]\frac{1}{2}[/tex] ( x - 2 )

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

y = [tex]\frac{1}{2}[/tex] x + 4

#1

Comapre to slope intercept form

Parallel lines have equal slope

Equation of parallel line in point slope form

Answer:

answer is 75

Step-by-step explanation:

you need to add all of them then take away 12 then you get your answer.

Usando proporciones, hay que Luis enviará 160 dólares a su familia.

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, la regla de tres es dada por:

15 dólares - 8 envíados

300 dólares - n envíados

Aplicando multiplicación cruzada:

15n = 300 x 8

n = (300 x 8)/15

n = 160

Luis enviará 160 dólares a su familia.

Puede-se aprender mas a cerca de proporciones es brainly.com/question/26425852

Answer:

This is an obtuse scaline triangle.

Step-by-step explanation:

Hope I Helped!!

Answer:

The answer to the first equation is x=y+1

The answer to the second equation is x= -2/3 y+8/3

Step-by-step explanation:

Equation Solver

What do you want to calculate?

Solve for Variable

Graph

Solve for:

x

Let's solve for x.

−2x+2y=−2

Step 1: Add -2y to both sides.

−2x+2y+−2y=−2+−2y

−2x=−2y−2

Step 2: Divide both sides by -2.

−2x

−2

=

−2y−2

−2

x=y+1

Answer:

x=y+1

2. Let's solve for x.

3x+2y=8

Step 1: Add -2y to both sides.

3x+2y+−2y=8+−2y

3x=−2y+8

Step 2: Divide both sides by 3.

3x/3=-2y+8/3

x=-2/3 y+8/3

Answer:

x= -2/3 y+8/3

[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

↪ By Substitution method

⇒Eq.1

Soo value of y => y = 2x-2

↪ Substituting y= 2x-2 in ( 3x+2y = 8)

↪ Substituting x = 2 in eq 1 to get y

↪ hence, (2,1) is the solution ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Given ques:-

Answer:-

which gives,

Hope it help ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

B. 0.32

I guessed and it was right

The probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

The correct answer is B. 0.32.

To find the probability that a randomly selected student plays a sport, given that the student is a senior, we can use the formula for conditional probability:

P(plays a sport | senior) = P(plays a sport and senior) / P(senior)

Given that P(plays a sport and senior) = 0.08

and P(senior) = 0.25,

we can substitute these values into the formula:

P(plays a sport | senior) = 0.08 / 0.25

P(plays a sport | senior) = 0.32

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

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[tex] \tan(theta ) = \frac{5.3}{b} \\ [/tex]

[tex]0.6 = \frac{5.3}{b} \\ [/tex]

[tex]b = \frac{5.3}{0.6} \\ [/tex]

[tex]b = 8.83 \: \: cm[/tex]

Answer:

Top of one step: 2.5 ft

Front of one step: 1.25 ft

One side of stairs: 5 ft

Total surface area: 25 ft