A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $70 a day plus $0.40 per mile to rent the same truck. Find the
number of miles in a day at which the rental costs for Company A and Company B are the same.

The algebraic expression in simplest terms is 200 · x² - 79 · x + 14 = 0.

In this problem we have a sum of products of binomials as algebraic expression and we must reduce to its simplest terms by using algebra properties, that is, using these properties until a polynomial is found:

(- 10 · x + 2) + (- 9 · x + 8) · (- 10 · x + 2) + (- 9 · x + 8) · (- 10 · x + 2) + (- 9 · x + 8)

(- 10 · x + 2) + 2 · (- 9 · x + 8) · (- 10 · x + 2) + (- 9 · x + 8)

(- 10 · x + 2) · [1 + 2 · (- 10 · x + 2)] + (- 9 · x + 8)

(- 10 · x + 2) · (1 - 20 · x + 4) + (- 9 · x + 8)

(- 10 · x + 2) · (3 - 20 · x) + (- 9 · x + 8)

3 · (- 10 · x + 2)  + (- 20 · x) · (- 10 · x + 2) + (- 9 · x + 8)

- 30 · x + 6 + 200 · x² - 40 · x - 9 · x + 8

200 · x² - 79 · x + 14

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Answer:

3760/4000(2 tons=4000pounds)

$0.94 is the answer

Answer:

Step-by-step explanation:

brackets first

5 - (3-2) + 2

5 - (1) + 2

5 - 1 + 2

4 + 2

6

Answer:

5-(3-2)+2

5-1+2

4+2

6

Step-by-step explanation:

Follow PEMDAS

P ()

E: Exponent

M: Multiplication

D: Division

A: Addition

S: Subtraction

And you answer each equation going from Left to Right

According to the Centers for Disease Control and Prevention (CDC), the average shower lasts 8 minutes. If you like to linger in the shower for longer than 15 minutes, you might want to rethink your hygiene routine.

According to board-certified dermatologist Dr. Edidiong Kaminska, MD, the recommended maximum shower time is about 5 to 10 minutes. This is enough time to cleanse and hydrate the skin without overdoing it. “Our skin needs water, just like our bodies, but if we over- or under-do it, then it may have consequences,” she adds.

And if you have dry skin or eczema, Dr. Anna Guanche, MD, FAAD, says shorter, lukewarm showers are recommended. Moreover, the Baylor College of Medicine says it’s especially important to avoid hot showers in the wintery months since the heat can damage the surface of the skin, which can lead to inflammation and increase symptoms of eczema.

Side effects of long showers

While a long, hot shower might seem like the best way to pamper your body, over-showering may dehydrate the skin. “The purpose of showering is to hydrate and cleanse the skin, but warm or hot showering for prolonged periods strips away natural oils of the skin and opens up our pores and allows moisture to escape,” Kaminska says.

To keep moisture in, she usually recommends applying a body moisturizer after showering to the skin since it allows the water (hydration) to stay in the skin and not escape.

Answer:

10 to the 5th power times 9 to the 2nd power over 6 to the 4th power

Answer:

what

Step-by-step explanation:

Answer:

11 people

Step-by-step explanation:

14-8+5

6+5

11

According to the question, the Fibonacci series is a series of sequence of numbers. It follows one standard property which states that every third term in the series is the addition of first term and second term.

Now, the first ten terms of the Fibonacci sequence is as follows:

Fibonacci Series = [tex]{1,1,2,3,5,8,13,21,34,55}[/tex]

The sum of the first ten number of the Fibonacci series is as follows:

Sum = [tex]1+1+2+3+5+8+13+21+34+55 = 143[/tex]

As per question, divide the calculated sum by eleven. Therefore, it can be written as:

Required Division = [tex]\frac{143}{11} = 13[/tex]

Hence, the solution for the given series is [tex]13[/tex].

What is a Fibonacci series?

Fibonacci series is an infinite series of sequences of numbers. The important property of this series is, every third term is the addition of the first and second term. In this, the first term either starts with zero or one.

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Answer:

About 1 and 1/4 chapters per day.

Step-by-step explanation:

There are 11 chapters, and eight days to read them. So we divide 11 by 8. 11/8 = 1.375, which is approximately 1 and 1/4.

Length of AC is 54 units.

The midpoint of a line is a point that bisects the line into equal parts. It is equidistant from both end points of the line.

As B is the midpoint of AC,

AB = BC

∴ 4x - 5 = 11 + 2x

∴ 4x - 2x = 11 + 5

∴ 2x = 16

∴ x = 8.

Now, AC = AB + BC

∴ AC = 4x - 5 + 11 + 2x

Substituting the value of x,

∴ AC = 4(8) - 5 + 11 + 2(8)

∴ AC = 54 units

Thus, the length of AC is 54 units.

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Margo works 23 hour per week to earn approximately $300 per week .

It is given that Margo earns $13.50 per hour .

Using unitary method , we get

To get his weekly financial gain, we have a tendency to multiply his hourly wage by the quantity of hours he worked.

Pay = hourly rate × variety of hours worked

300 = 13.50 × number of hours worked

number of hours worked = 300 /13.50

                                           = 22.22

On rounding off , we get the hour = 23 hours

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Answer:

x=2.5

Step-by-step explanation:

R = 4x − 9y

We know that R=1 and y=1 so we can substitute that in

1=4x-9

Then solve as a normal algebraic equation

add 9 to both sides

10=4x

divide both sides by 4

2.5=x

Two vertex angles of an isosceles triangle are equal but not necessarily all three so the given statement is not always true.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

An isosceles triangle is a triangle whose two sides will be the same, but the third side may or may not be equal.

So, the angle associated with the same side will same but the remaining angle will or will not be the same.

Hence "Two vertex angles of an isosceles triangle are equal but not necessarily all three so the given statement is not always true".

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Answer:

3rd option

Step-by-step explanation:

using the sine and cosine ratios for the 60° angle in the right triangle and the exact values.

cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

and

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 6[tex]\sqrt{3}[/tex]

The equation of line is y = -4

Given the points:

(x₁, y₁) = (-1, -4)

(x₂, y₂) = ( 3, -4)

The slope-intercept form:

y = mx + b

Where, m is the slope and b is the y-intercept, that is (0, b)

The formula for slope:

m = (y₂ – y₁) / (x₂ – x₁)

We have given

x₁ = -1

x₂ = 3

y₁ = -4

y₂ = -4

So,

m = (-4 – (-4)) / (3 – (-1)) = (-4 + 4) / (3 + 1) = 0/4 = 0

Therefore we have the equation of the line as:

y = mx + b

-4 = 0(x) + b

-4 = 0 + b

b = -4

Therefore, the equation of line y = -4

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Answer:

Step-by-step explanation:

Solution for Point C is located on AB such that the ratio of AC : CB is 3:2. ... A: Here point B lies on the line AC with coordinates A(-3,4) and C(2,-6), ...

-9, -10/32, 13/16, 79/8]

Step-by-step explanation:

use ur brain

The absolute inequality will be x ≥ | 8.9 ± 0.15 |mm and the compound inequality will be x > 8.75, x< 9.05.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that the length is 8.9 mm with a tolerance of 0.15mm.

The absolute inequality will be written as below:-

x ≥ | 8.9 ± 0.15 |mm

The compound inequality will be written as:-

x  > 8.75,

x < 9.05.

Therefore, the absolute inequality will be x ≥ | 8.9 ± 0.15 |mm and the compound inequality will be x > 8.75, x< 9.05.

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Answer: try 1 or 0

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

(-8)= 8

Answer:

If it is [tex]6(5)^2[/tex] then the answer is 150

Step-by-step explanation:

So, follow PEMDAS
Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

First square 5 because there is an exponent [tex]6(5)^2 = 6(25)[/tex]

Next multiply 6 times 25 and you get 150!

Answer:

d) 155

Step-by-step explanation:

The value of x is,

→ x = 5

Now the expression is,

→ 6x² + x

Let's solve the expression,

→ 6x² + x

→ 6(5)² + 5

→ 6(25) + 5

→ 150 + 5

→ 155

Hence, the answer is 155.

Answer:y/5=5/6

Step-by-step explanation:based on given conditons

Answer:

47002 :)

is how you write 47 thousand +2

The number of apples in the 12th bag is 9.

There are 12 bags of apples on the market stalls.

The mean number of apples in each bag is 8.

Therefore, the number of apples in the 12th bag can be calculated as follows:

mean = ∑fx / ∑f

Hence,

let the number of apples in the 12th bag = a

mean = 6 × 1 + 7 × 4 + 8 × 2 + 9 × 3 + 10 × 1 + x × 1/ 1 + 4 + 2 + 3 + 1 + 1

mean = 6 + 28 + 16 + 27 + 10 + x / 12

mean = 87 + x / 12

8 = 87 + x / 12

cross multiply

96 = 87 + x

x = 96 - 87

x = 9

Hence, the number of apples in the 12th bag is 9.

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what scale factor did you find and is there a photo of the rectangle?

Answer:

well done...I hope it's helpful