Michael rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 97 cents for each mile driven. Michael had to pay $277.88 when he returned the truck.


For how many miles did he drive the truck?​

Step-by-step explanation:

[tex]y = 3x + 10......eq3 \\ 2(3x + 10) = 6x + 20 \\ 6x + 20 = 6x + 20[/tex]

you can see that coming across that complication where the eqaution is balanced there is no solution for x and y fir those systems of equations.

Answer:1=a

             2=b

             3=c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1 revolution is 360 degrees

1 hour = 60 minutes

360/60 = 6

so it rotates 6 degrees every minute

135/6 = 22.5 minutes

175 yards long is the 15th hole if the map shows 17.5 inches.

hole = c yards

1.5 / 15 = 17.5 / c

1.5 c = 15 * 17.5

1.5 c = 262.5

c = 175 yards

A length unit equal to 36 inches, or 3 feet (see foot), in the United States Customary System, or 0.9144 metre in the International System of Units. A cloth yard is 37 inches long, and it was also the standard length for arrows.

The yard is an English unit of length that equals 3 feet or 36 inches in both the British imperial and US customary measurement systems. Since 1959, it has been standardized as 0.9144 meter by international agreement. One mile is equivalent to 1,760 yards. The survey yard in the United States is slightly longer.

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Answer:

1/9

Step-by-step explanation:

When the quantities are proportional, you are able to find the constant of proportionality by y/x.  If you take each one of the y's listed and divide it by x, you will get 1/9.

For example 1 2/9 ÷11

1 2/9 is the same at 9/9 + 2/9 or 11/9

[tex]\frac{11}{9}[/tex] ÷ 11 is the same as [tex]\frac{11}{9}[/tex] ÷ [tex]\frac{11}{1}[/tex] To divide with fractions, you multiply by the reciprocal.

[tex]\frac{11}{9}[/tex] x [tex]\frac{1}{11}[/tex] The 11 can cancel out and we are left with [tex]\frac{1}{9}[/tex]

Answer: r = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

y = rx

finding r (substitute y and x):

5 = r x 45

5/45 = r

r = [tex]\frac{5}{45} = simplify = \frac{1}{9}[/tex]

checking:

rx = y

   [tex]\frac{1}{9}[/tex] x 11 = 1 [tex]\frac{2}{9}[/tex]

[tex]\frac{11}{9}[/tex] = 1 [tex]\frac{2}{9}[/tex]

convert mixed fraction into improper fraction

[tex]\frac{11}{9}[/tex] = [tex]\frac{11}{9}[/tex]

correct

Answer:

Step-by-step explanation:

You want to know the length of the sides of a 250 ft² square, and one with an area 50% larger. You also want to know the percentage change in side length.

The area of a square is given by the formula ...

  A = s²

Solving for the side length (s), we find ...

  s = √A

The side length of a square with 250 ft² area is ...

  s = √250 ft = 5√10 ft ≈ 15.81 ft . . . side length

The area of a square that has 50% more area is ...

  (250 ft²) × (1 +50%) = 375 ft²

The side length of that square is ...

  √375 ft = 5√15 ft ≈ 19.36 ft . . . side length

The percentage change can be found from ...

  percentage change = ((new value)/(old value) -1) × 100%

  = ((5√15)/(5√10) -1) × 100% = (√1.5 -1) × 100% ≈ 22.47%

The percentage increase in the length of one side is about 22.47%.

Thee number in which case has the value of the 8 ten times greater than than the value of the 8 in 8304 as required in the task content is; 83450.

It follows from the task content that the number which satisfies the condition that, the value of its 8 is ten times greater than the value of the 8 in 8304 is to be determined.

It follows from place value that the 8 in 8304 has a value of; 8 × 1000 = 8000.

Hence, an example of a number that is ten times greater is; 10 × 80,000.

Ultimately, an example of the required number as in the task content is; 83450 where it's 8 digit is ten times greater than that in 8304.

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Answer:

Step-by-step explanation:

The value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.

It should be noted that an equation is simply used to show the relationship between the expression or variables.

From the information, 3x - 1 + 5 < 1.

Collect like terms

3x - 1 + 5 < 1.

3x < 1 + 1 - 5

3x < -3

Divide

3x / 3 < -3 / 3

x < 1

Therefore, the value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.

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Answer:

14x+11

Step-by-step explanation:

The number of hours Alma volunteered is 46 hours.

The process of time conversion changing or converting the unit of time from one unit to another.

For example, it can be converting seconds to minutes, converting minutes to hour or converting hours to minutes or hours to seconds.

Basically, time can be converted from one unit to another.

The number of hours Alma volunteered is calculated as follows;

60 minutes = 1 hour

2,760 minutes = ?

= (2760 x 1) / 60

= 46 hours

Thus, the number of hours Alma volunteered is 46 hours.

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Answer:

Step-by-step explanation:

46

Answer:

18.33

Step-by-step explanation:

multiply 55×2 you get 110

then since it is +13-7 + is bigger than - ( positive is greater than negative)

it will be 6

so 110 ÷6 = 18.3333333 you put it into 4digits

The answer is 18.33

Hope it will help

The number of points the borrower needs to buy down interest rate to 3.8% is 0.350 points

What is the desired annual percentage rate for the borrower?

The desired annual percentage rate(APR) for the borrower is 3.8% whereas the the loan officer offer is 4.15%, which means that the borrower needs to buy the interest rate from 4.15% to 3.8%

difference in interest rate=4.15%-3.8%

difference in interest rate=0.35%

We need to translate the reduction in interest rate of 0.35% to points , bearing in mind that the 1% is the same as 1 point

number of points required to buy down interest=1 point*0.35%

number of points required to buy down interest=0.350

In essence, the home loan borrower needs to buy down interest by 0.350 points in order to achieve the desired loan APR of 3.8%

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Answer:14 000

Step-by-step explanation:

Simple interest formula: A=P(1+in)

A= amount after interest is added

P= initial amount (10000)

i= interest rate (8%)

n= number of periods (5 years)

Now substitute what you have into the simple interest formula:

A=P(1+in)

A=10000(1+(8/100)(5))

A= 14 000

The reason why 8 is divided by 100 is that 8 is a percentage. Unless you have a percentage function on your calculator, I'd strongly encourage you to ALWAYS divide your percentages by 100.

The Four-fifths is equal to ten-sixteenths of a number is x=32/25.

Given the statement is four-fifths is equal to ten-sixteenths of a number.

A mathematical statement is a meaningful component of words that can be  true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Four fifths means 4/5.          ......(1)

And ten sixteenths means 10/16.

It is also given that ten sixteenths of a number means is (10/16)x.      .......(2)

Now, we will equate equation (1) and equation (2) according to the given statement is

4/5=(10/16)x

Further, we will cross multiply both sides, we get

4×16=10x×5

64=50x

Now, we will divide both sides by 50, we get

64/50=50x/50

64/50=x

32/25=x

Hence, the number for the given statement "Four fifths is equal to ten sixteenths of a number" is 32/25.

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Answer:

-13 13/35

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation: Just took it

Answer:

0.66

Step-by-step explanation:

The equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)

Lines are represented by first grade polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept of the line, and x and y are the independent and dependent variables, respectively.

We can find the values of the slope and the y-intercept by knowing the location of two distinct points on Cartesian plane. If we know that (x₁, y₁) = (- 5, 0) and (x₂, y₂) = (0, - 2), then the equation of the line is:

- 5 · m + b = 0               (1)

b = - 2                           (2)

The solution to the system of linear equations is (m, b) = (- 2 / 5, - 2). Lastly, the equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)

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Answer:

==========================

Identities we will use:

===========================

Given expression:

Factorize it by completing the square and setting the difference of squares:

Answer:

101

Step-by-step explanation:

Because if f(x) = [tex]x^{2}[/tex] + 1 and f(x) is f(10), this means that x = 10. If x = 10, then you can plug that into the equation, getting you [tex]10^{2}[/tex] + 1. [tex]10^{2}[/tex] is 100, plus 1 is 101.

Hope this helps!

Step-by-step explanation:

perimeter=s+s+s

p=x/2+x-5+x-2

13=x/2+x-5+x-2

26=x+x+x-10-4

26=3x-14

26+14=3x

3x/3=40/3

x=13.3cm

b.

x/2=6.65

x-5=8.3

x-2=11.3

longest side=11.3cm

Factors of the polynomial 2x² + 8x - 90 is Option (c) 2(x + 9)(x - 5).

Factorization is the method used to discover the factors of a given value or mathematical statement. A factor is an integer that is multiplied by another to create the original number. For instance, 2, 3, 6, 9, and 18 are the factors of 18. Likewise, in the case of polynomials, the factors are the polynomials that are multiplied to create the initial polynomial.

Given Equation: 2x² + 8x - 90

Step 1: Pull out like factors from the equation

 ⇒ 2x² + 8x - 90  =   2 • (x² + 4x - 45)

Step 2: Factorize by splitting the middle term of the equation (x² - 4x - 45)

   ⇒ x²+ 9x - 5x - 45

Step 3: Take Common factors from the two pairs of the equation

⇒ x(x + 9) - 5(x + 9)

Step 4: Rewrite the polynomial in factored form

  ⇒ 2(x + 9)(x - 5)

Therefore the factorization result is 2(x + 9)(x - 5).

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Answer:

3/5, 9/15 - some equivalent fractions for 6/10

Answers:

E ' = (0, 1)

F ' = (0.5, 0.5)

G ' = (0, 0)

D ' = (-1, 0.75)

Notes: 0.5 = 1/2 and 0.75 = 3/4

================================================

Explanation:

Assuming the origin is the center of dilation, then we multiply each coordinate by the scale factor of 1/4 = 0.25

For instance, the point E(0,4) moves to E ' (0, 1) since

Do the same for the other points.