Alan rented a truck for one days.There base fee of $20.99,and there was an additional charge of 84 cents for each mile driven. Alan had to pay $267.11 when he returned the truck. How many miles did he drive the truck?

Answer:

8 inches

Step-by-step explanation:

All the sides of a square are equal so to find the side you can divide the perimeter by 4.

32 / 4 = 8

Answer:

here you go

Step-by-step explanation:

An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

A. -2x^3+32x^2

B.-4x^3+64x^2

C.4x^3-64x^2+32x

D.-4X^3+64x^2-32x

E.4x^3-128x^2-1024x =volume = x(32-2x)^2

Answer:

y = 31,x= 148

Step-by-step explanation:

the explanation is in the image

that's all....have fun

unlikely

Step-by-step explanation:

there is a 1/6 chance

Answer:

y = -5x + 2

Step-by-step explanation:

Slope intercept form is:

[tex]y=mx+b[/tex]

m - slope

b - y-intercpt

We are given the slope of '-5' and the y-intercept of '2'.

This means that -5 will replace m and 2 would replace b.

[tex]y=mx+b\rightarrow\boxed{y=-5x+2}[/tex]

Hope this helps.

Answer:

F(x)=(x-3)(x+2)

Step-by-step explanation:

F(x)=(x-3)(x+2)=x²-x-6

Answer:

Explanation:

21²×5 = 2205

The total number of combinations of tag codes is 2,205 tag codes

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of combinations of tag codes be A

Now , the equation will be

The number of letters in the tag codes = 3 letters

The first letter is a consonant

The total number of ways of selecting a consonant = ²¹C₁

The second letter is a vowel

The total number of ways of selecting a vowel = ⁵C₁

The third letter is a consonant

The total number of ways of selecting a consonant = ²¹C₁

The total number of combinations of tag codes A = ²¹C₁ x ⁵C₁ x ²¹C₁

On simplifying the equation , we get

The total number of combinations of tag codes A = 21 x 5 x 21

The total number of combinations of tag codes A = 2,205 tag codes

Hence , the number of combinations is 2,205

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Answer:

A=3 because 7+3=10

Step-by-step explanation:

Answer:

a=3

Step-by-step explanation:

Hope that helps, if you want the steps, just ask and ill put them in the comments :)

Step-by-step explanation:

The shape of quadrilateral ABCD changes as the moving platform swings around, but its side lengths do not change. Both pairs of opposite sides are congruent, so ABCD is a parallelogram by the Parallelogram Opposite Sides Converse. By the definition of a parallelogram, — AB — DC .

Answer:

she earned a total of 1190 in 5 years. I don't know if this helps.

Step-by-step explanation:

The rate of interest with the given parameters is 6.8%.

Given that, Principal =$3,500, time period =5 years and the amount =$4,690.

We need to find the rate of interest.

The interest rate formula helps in calculating the amount of money to be repaid towards a loan taken and the interest over the investment on fixed deposits, mutual funds, etc. The interest rate formula also helps in calculating the interest on credit cards. The interest rate for a given amount on simple interest can be calculated by the following formula,

Interest Rate = (Simple Interest × 100)/(Principal × Time)

Now, SI=Amount-Principal=4690-3500=1,190

rate of interest=(1,190×100)/(3,500×5)=6.8%

Therefore, the rate of interest with the given parameters is 6.8%.

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Answer:

10

Step-by-step explanation:

Area of traingle:1/2

50=1/2.10.x

50=5x

50/5=5x/5

50/5=5x/5  

x=50/5

x=10

Answer:

$435

Step-by-step explanation:

I = Prt = ($4,350)(0.02)(5) = $435

Answer:

1658

Step-by-step explanation:

add them all up then subtract his salary per month

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

-TheUnknownScientist

Answer:

-2/1

Step-by-step explanation:

Hope this helped!

Answer:

easy, the slope is -2/1.

Step-by-step explanation:

i found this out because you can see your y intercept is 2. you start at two then follow the line, and you go down two units (-2) and go right one unit. this equates to -2/1, which, is your slope. hope this helped!!

Answer: No triangles  

Step-by-step explanation: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Which is why 3,4, and 8 do not make a triangle, hope this helped!!

Answer: Debit Cash account $43,000

Credit Accounts receivable $43,000

Step-by-step explanation:

Receivables are the debts that are owed to a particular firm by the customers for the goods or the services that have not been paid for by the customers.

The journal entry for the collection of the receivables in this case will be:

Debit Cash account $43,000

Credit Accounts receivable $43,000

(Being entries for receivables)

Answer:

3/5

Step-by-step explanation:

because in one jar there are total 5 marbles. 2 orange and 3 red. so if he pick randomly then he will 3/5.

Answer:

Step-by-step explanation:

Hello : let A(-7,3) B(-6,-1)

the slope is : (YB - YA)/(XB -XA)

(-1-3)/(-6+7) = -4/1 =-4

an equation is : y=ax+b a is a slope

y = -4x +b

the line through point B (-6,-1) : -1 = (-4)(-6)+b

b = -25

the equation is : y =-4x-25

The equation of line passes through the points (-7, 3) and (-6, -1) will be;

⇒ y = - 4x - 25

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-7, 3) and (-6, -1).

Now,

Since, The equation of line passes through the points (-7, 3) and (-6, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 3) / (-6 - (-7))

m = - 4 / (-6 + 7)

m = - 4/1

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 3 = - 4 (x - (-7))

⇒ y - 3 = - 4 (x + 7)

⇒ y - 3 = - 4x - 28

⇒ y = - 4x - 28 + 3

⇒ y = - 4x - 25

Therefore, The equation of line passes through the points (-7, 3) and

(-6, -1) will be;

⇒ y = - 4x - 25

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Answer:

a. -x, y b. x, y c. x, -y

Step-by-step explanation:

hope this helps:)

Answer:

I can do 2-10 if that's alr

Step-by-step explanation:

6:1

divide both sides by 4

Answer:

6:1

Step-by-step explanation:

1. 24.4, i split(divide) into 2 and got=

12.2

2.split(divide) into 2 again

6.1

Answer:

n = 78

Step-by-step explanation:

IQR is the interquartile range of the data set.

So Saul had already arranged the data in order, that is the first step when calculating the interquartile range.

25, 30, 50, 50, 50, 50, 56, n., 250

Next, is to find the median so we could easily separate the data into quartiles.

The median of the data 25, 30, 50, 50, 50, 50, 56, n., 250 = 50

Then, arrange the data into the first quartile and the third quartile

first quartile = 25, 30, 50, 50

third quartile = 50, 56, n., 250

first quartile median = 30 + 50 = 80/2 = 40

third quartile = 56 + n /2

The interquartile range formula is the first quartile subtracted from the third quartile:

IQR = Q3 – Q1.

Since 27 is the interquartile range, n=

27 = (56 + n /2) - 40

Use 2 to multiply through to eliminate the denominator

54 = (56 + n) - 80

n = 78

Answer: 166 cm

Step-by-step explanation:

x / 19 = 126

* 19 * 19

x = 2394

(2394 + y) / 20 = 128

* 20 * 20

2394 + y = 2560

- 2394 - 2394

y = 166

Answer:

Try Yes.....

.................

Answer:

no, because the short sides add up to be more than the 8