Abdul rented a truck for one day. There was a base fee of $16.95 , and there was an additional charge of 73 cents for each mile driven. Abdul had to pay $146.16 when he returned the truck. For how many miles did he drive the truck?

The quadrilateral has diagonals that are perpendicular but not congruent is called a rhombus. Then the correct option is B.

It is a type of polygon that has four sides.

Types of quadrilateral;

Thus, the correct option is B.

More about the quadrilateral link is given below.

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Answer:

108 full loads

Step-by-step explanation:

Each load uses up 1  1/3 scoops and total there is 145 scoops. So, how many loads of laundry can be washed??

We divide total scoops by number of scoops in each load of laundry. But before we do that, we need to convert the mixed fraction to improper fraction by using the rule shown below:

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}[/tex]

hence:

[tex]1\frac{1}{3}=\frac{4}{3}[/tex]

Now the division problem:

[tex]\frac{145}{\frac{4}{3}}=145*\frac{3}{4}=108.75[/tex]

So, a whole lot of 108 load of laundry can be washed.

Answer:

[tex]2x^4+4x^2-3[/tex]

Answer:

Step-by-step explanation:

Depends on how many problems his quiz contains and how many problems he answered correctly.

Answer:

4725

Step-by-step explanation:

25-10=15

15^2=225

10*45*10=4500

225+4500=4725

Step-by-step explanation:

The total number of parts is 4 + 1 + 2 = 7.

Nickel is 4/7 of the mass: 4/7 × 35 kg = 20 kg.

Zinc is 1/7 of the mass: 1/7 × 35 kg = 5 kg.

Copper is 2/7 of the mass: 2/7 × 35 = 10 kg.

Answer:

15g 5g 10g

Step-by-step explanation:

Answer: The rate of change is 11.6666...

Step-by-step explanation:

You subtract 95 by 60 and you get 35.

You divide it by 3 because it happened over 3 weeks.

After dividing your answer is 11.6666...

To calculate the rate of grade change, subtract the final grade from the initial grade, then divide the result by the number of weeks. In this case, the rate of grade change is 11.67, meaning the grades are dropping at a rate of 11.67 points per week.

To calculate the rate of grade change, we should subtract the final grade from the initial grade and divide the result by the number of weeks. In this case, the initial grade is 95 and the final grade is 60. Therefore, the grade change is 95 - 60 = 35. The number of weeks is 3 according to your question.

So, the rate of grade change can be calculated as follows:

Rate of Grade Change = Grade Change / Number of weeks

Substituting the given values:

Rate of Change = 35 / 3 = 11.67

This means, grades are dropping at a rate of 11.67 points per week.

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Answer:

x^2-9x+4

Step-by-step explanation:

(-5x^2-9x-6)+(6x^2+10)

-5x^2+6x^2-9x-6+10

x^2-9x+4

Answer:

x^2 - 9x + 4.

Step-by-step explanation:

(-5x²-9x-6)+(6x²+10)​

= -5x² - 9x - 6 + 6x² + 10 ​

=  -5x² + 6x² - 9x  - 6  + 10 ​

= x^2 - 9x + 4.

Final answer:

It will take Alex 4 minutes to type 176 words at his current typing speed of 44 words per minute.

Explanation:

The question asks how long it would take for Alex to type 176 words if he can type 44 words in one minute. To find the answer, we utilize a simple rate calculation by dividing the total number of words (176) by Alex's typing speed (44 words per minute).

176 words ÷ 44 words/minute = 4 minutes

Therefore, it will take Alex exactly 4 minutes to type 176 words at the rate of 44 words per minute.

Answer:

[tex]\large \boxed{7.2}[/tex]

Step-by-step explanation:

You could use the distance formula to calculate the length of PQ. I prefer a visual approach, because it requires less memorization.

Draw a vertical line from P and a horizontal line from Q until they intersect at R (9, 2).

Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

[tex]\begin{array}{rcl}PQ^{2} & = & PR^{2} + QR^{2}\\& = & 4^{2} + 6^{2}\\ & = & 16 + 36\\& = & 52\\PQ& = & \sqrt{52}\\& = & \mathbf{7.2}\\\end{array}\\\text{The distance between P and Q is } $\large \boxed{\mathbf{7.2}}$}[/tex]

Answer:

The vertices are:

A' = (-3, -3)

B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

The ratio of area of  larger square to smaller square is 9:1

Step-by-step explanation:

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1),  B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.

A(-1, -1) = 3(-1, -1) = A'(-3, -3)

B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

To find the area of the small square

the side  of the small square is 2 units

so the are of the small square is [tex]2^2[/tex] = 4 square units

To find the area of the larger square

lets find the side AB of the square using distance formula

=>[tex]\sqrt{(x_2 -x_1)^2 +(y_2-y_1)^2}[/tex]

=>[tex]\sqrt{(3 - (-3))^2 +(-3 - (-3))^2}[/tex]

=>[tex]\sqrt{(3 +3)^2 +(-3 +3)^2}[/tex]

=>[tex]\sqrt{(6)^2 +(0)^2}[/tex]

=>[tex]\sqrt{36}[/tex]

=>6

AB =6 units

In a square all the sides will be equal

Now the area of the larger square will be

[tex]6^2[/tex]

36 square units

The ratio of larger square to smaller square is

=>36 : 4

=>9 : 1

Answer:

The price of each movie is $2.25

The price of each video games is $5.41  

Step-by-step explanation:

Given as :

Miguel rented 5 movies and 3 video games for a total cost = $27

Next day Miguel rented 2 movies and 6 video games for a total cost = $36

Let The cost of each movie = $m

And The cost of each video game = $v

Now, According to question

5 m + 3 v = 27            .....1

2 m + 6 v = 36          ...........2

Now, solving the equation

2 × (5 m + 3 v)  - (2 m + 6 v) = 2 × 27 - 36

Or, 10 m + 6 v - 2 m - 6 v = 54 - 36

Or, (10 m - 2 m) + (6 v - 6 v) = 18

Or, 8 m + 0 = 18

∴ m = [tex]\dfrac{18}{8}[/tex] = [tex]\dfrac{9}{4}[/tex]

i.e m = $2.25

So, The price of each movie =  m = $2.25

Again, put the value of m into eq 2

So, 2 × 2.25 + 6 v = 36  

Or, 4.5 + 6 v = 36  

Or, 6 v = 36 - 4.5

Or, 6 v = $32.5

∴ v = [tex]\dfrac{32.5}{6}[/tex]

i.e v = $5.41

So, The price of each video games = v = $5.41

Hence, The price of each movie is $2.25 and

The price of each video games is $5.41  Answer

Answer:

y+1=5(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=5(x-(-2))

y+1=5(x+2)

Answer:

[tex]20.83[/tex]

Step-by-step explanation:

[tex]12 \times x = 250 \\ 12x = 250 \\ \frac{12x}{12} = \frac{250}{12} \\ x = 20.83[/tex]

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The equivalent value of the equation is A = 12 x 20.833 = 250

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p

Let the second number be q

Now , A = pq

when the value of p = 12

And , when the value of q

On simplifying the equation , we get

250 = 12 x q

So , the left hand side of the equation is equated to the right hand side by the value of 12 x q

250 = 12 x q

Divide by 12 on both sides , we get

q = 250/12

On simplifying , we get

q = 20.833

Therefore , the value of q = 20.833

Hence , the expression is A = 12 x 20.833 = 250

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Answer:

g(f(x)) = -x - 18

Step-by-step explanation:

2x - 6( (x + 6) / (2) )

2x - 3( x + 6)

2x - 3x - 18

-x - 18

Answer:

the answer would be 90

Step-by-step explanation:

first you multiply 8 until you get 48, which would be 6 times, then do the same thing for 7 (7x6), which would be 42 and just add it all together and you get 90

The chess player played a total of 56 games.

To find the total number of games the chess player played, we need to determine the ratio of wins and losses. The ratio of wins to losses is given as 8:7. This means for every 8 wins, there are 7 losses. Since the player won a total of 48 games, we can set up the following proportion:

8/7 = 48/x

Cross-multiplying, we get 8x = 7 * 48. Solving for x, we find that the player played a total of 56 games.

Answer:

1.  [tex]1200 \ kg/m^3[/tex]

2.

a)

35 cm = 0.35 meters

11 dm = 1.1 meters

15 mm = 0.015 meters

b)

Volume = 0.005775 cubic meters

Mass = 15.5925 kilograms

Step-by-step explanation:

1.

We know

Density = Mass/Volume

Given

Mass = 90 kg

Volume = 0.075 cubic meters

The SI unit for density is kilograms per cubic meters. Our dimensions are just that, so we just need to plug in the numbers into the formula and get our answer. Shown below:

Density = [tex]\frac{90}{0.075}=1200 \ kg/m^3[/tex]

The Density of asphalt block = [tex]1200 \ kg/m^3[/tex]

2.

a)

We need to express 35cm, 11dm, and 15mm in meters

We know

100 cm = 1 meters, so

35 cm = 35/100 = 0.35 meters

We know 1 dm = 0.1 meters, so

11 dm * 0.1 = 1.1 meters

We know, 1mm = 0.001 meters, so

15 mm * 0.001 = 0.015 meters

b)

Volume of the Slab is length * width * height, in meters, that would be:

Volume = 0.35 * 1.1 * 0.015 = 0.005775 cubic meters

THe mass would be found by the formula:

Density = Mass/Volume

2700 = Mass/0.005775

Mass = 0.005775 * 2700 =  15.5925 kilograms

Answer:

8 Liters of 20% acid and 7 Liters of 50% acid

Step-by-step explanation:

Let we mix "x" liters of 20% acid, and

"y" liters of 50% acid

Total is 15 liters, so we can write:

x + y = 15

or x = 15 - y

Then,

We mix x liters of 20% (20/100=0.2) and y liters of 50% (50/100=0.5) acid solution to make 15 liters of 34% (34/100=0.34) solution, we can write:

0.2x + 0.5y = 0.34(15)

This becomes:

[tex]0.2x + 0.5y = 5.1[/tex]

We replace x with what we got in 1st equation and solve for y:

[tex]0.2x + 0.5y = 5.1\\0.2(15-y) + 0.5y = 5.1\\3-0.2y+0.5y=5.1\\0.3y=5.1-3\\0.3y=2.1\\y=\frac{2.1}{0.3}\\y=7[/tex]

We know x = 15 - y, so

x = 15 - 7

x = 8

So, we use 8 Liters of 20% acid and 7 Liters of 50% acid

Final answer:

To find out how many liters of each acid solution (20% and 50%) a chemist needs to mix to get 15 liters of a 34% acid solution, a system of equations using the volumes and concentrations is set up and solved to determine the exact volumes needed.

Explanation:

To solve the problem of mixing a 20% acid solution with a 50% acid solution to get 15 liters of a 34% acid solution, we can set up a system of equations based on the volumes and concentrations. Let's define x as the number of liters of the 20% solution and y as the number of liters of the 50% solution. The first equation is based on the total volume: x + y = 15. The second equation is based on the total amount of pure acid: 0.20x + 0.50y = 0.34 × 15. Solving this system gives us the volumes needed for each solution.

Steps to Solve the System of Equations:

Write the two equations:
x + y = 15 (the volume equation)
0.20x + 0.50y = 5.1 (the acid equation, since 0.34 × 15 = 5.1)

Solve one of the equations for x or y. For instance:
x = 15 - y

Substitute into the second equation and solve for y:
0.20(15 - y) + 0.50y = 5.1

Solve for y, which represents the volume of the 50% solution:

Substitute the value of y back into any of the original equations to solve for x, which represents the volume of the 20% solution:

By following these steps, the chemist can determine precisely how many liters of each acid solution must be used to obtain the final mixture.

3 - 0.3y = 5.1

y = 7 liters

x = 8 liters

Answer:

7 inches.

Step-by-step explanation:

15 inches - 8 inches = 7 inches.

Answer : The length of hair she get cut off her hair is, 7 inches

Step-by-step explanation :

As we are given that the length of Harper's hair is 15 inches. After cutting hair, the length of Harper's hair is 8 inches.

Now we have to determine the length of hair she get cut off her hair.

Length of hair she get cut off her hair = Total length of hair - Length of hair after cutting

Length of hair she get cut off her hair = 15 inches - 8 inches

Length of hair she get cut off her hair = 7 inches

Thus, the length of hair she get cut off her hair is, 7 inches

Answer:

m∠MKL = 10°

Step-by-step explanation:

Given:

Two angles are given:

m∠JIM = 120°

m∠ILK = 50°

The given angles are angle of triangle ΔIJK.

We know that the sum of the all angles of the triangle is 180°

So, m∠JIK + m∠ILK + m∠JKL = 180°

m∠JIM + m∠ILK + m∠JKL = 180°                    (m∠JIK = m∠JIM)  

Angle m∠JIM and angle m∠ILK is given, so we put the value of angles in above equation.

120° + 50° + m∠JKL = 180°

170° + m∠JKL = 180°

m∠JKL = 180° - 170°

m∠JKL = 10°

Since the longer diagonal bisects the interior angle of the kite therefore the m∠JKL = m∠MKL.

Therefore the m∠MKL = 10°.

Answer:

She gets a raise of 91 cents per hour. So that means each hour, she makes $13.91

Kelli's raise per hour is $13.91.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Kelli makes $13 an hour working at the bakery,

and her boss gave her a 7% raise.

That means,

Kelli's raise per hour = 13 + 13 x 7/100

= $13.91

Therefore, $13.91 raise per hour.

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Answer:

cosec A = [tex]\frac{17}{15}[/tex]

Step-by-step explanation:

We have,

15 cot A = 8

[tex]\implies cotA = \frac{8}{15}[/tex]

We know that,

  cosec²A - cot²A = 1

⇒cosec²A = 1 + cot²A

Taking square root both sides, we get

[tex]\sqrt{cosec^2A} = \sqrt{1+cot^2A[/tex]

[tex]\implies cosec A = \sqrt{1+cot^2A}[/tex]

[tex]\implies cosec A = \sqrt{1+(\frac{8}{15})^2}[/tex]

[tex]\implies cosec A=\sqrt{1+\frac{64}{225}}=\sqrt{\frac{289}{225}}=\frac{17}{15}[/tex]

So, the value of cosec A is [tex]\frac{17}{15}[/tex].

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the center of the given circle is (4,5).

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, (h,k) is center of the circle and r is radius.

We need to find the equation of a circle which represents the same center as the circle shown but with a radius of 2 units.

Substitute h=4, k=5 and r=2 in the above equation.

[tex](x-4)^2+(y-5)^2=(2)^2[/tex]

[tex](x-4)^2+(y-5)^2=4[/tex]

The required equation is [tex](x-4)^2+(y-5)^2=4[/tex].

Therefore, the correct option is B.

Answer:

B. (x – 4)2 + (y – 5)2 = 4

Step-by-step explanation:

Answer:

0 hours = $40

1 hours = $75

2 hours =$110

3 hours =$145

4 hours =$180

5 hours =$215

Step-by-step explanation:

C=Cost in dollars,

n=hours.

Calculating Cost for 0 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 0)+40[/tex]

[tex]C=0+40[/tex]

[tex]C=40[/tex]

Cost for 0 hours=$40

Calculating Cost for 1 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 1)+40[/tex]

[tex]C=35+40[/tex]

[tex]C=75[/tex]

Cost for 1 hours=$75

Calculating Cost for 2 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 2)+40[/tex]

[tex]C=70+40[/tex]

[tex]C=110[/tex]

Cost for 2 hours=$110

Calculating Cost for 3 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 3)+40[/tex]

[tex]C=105+40[/tex]

[tex]C=145[/tex]

Cost for 3 hours=$145

Calculating Cost for 4 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 4)+40[/tex]

[tex]C=140+40[/tex]

[tex]C=180[/tex]

Cost for 4 hours=$180

Calculating Cost for 5 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 5)+40[/tex]

[tex]C=175+40[/tex]

[tex]C=215[/tex]

Cost for 5 hours=$215

the ratio a:b is 3/5.

To find the ratio a:b in the equation 5a + 3b = 6b, we need to isolate a and b. We start by subtracting 3b from both sides of the equation:

5a + 3b - 3b = 6b - 3b

This simplifies to:

5a = 3b

Next, we can divide both sides of the equation by 3 to solve for a in terms of b:

5a/3 = 3b/3

This simplifies to:

a = (3/5)b

Therefore, the ratio a:b is 3/5.

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The ratio of a to b is 3:5.

To find the ratio a:b from the equation 5a+3b=6b, we can simplify the equation and then express one variable in terms of the other.

Starting with the given equation:

5a+3b=6b

Subtract 3b from both sides of the equation:

5a=3b

Now, divide both sides by 5 to isolate a:

So, the ratio of a to b is 3:5.

Answer:

  x = 1

Step-by-step explanation:

To find a solution to this by graphing, you would typically make a graph of the expression on the left, and another graph of the expression on the right. Where they intersect is the solution.

You would graph ...

You're only interested in the x-value where these lines cross, x=1.

_____

Alternate method

Graph the difference of the left side and the right side:

  y = (2x) -(-x +3)

and look for the value of x that makes y = 0. This, too, gives the solution x=1.

__

Of course, once you have the equation ...

  0 = 3x -3

the solution is pretty obvious. (Divide by 3 to make it more obvious.)

Answer:

x = -6

Step-by-step explanation:

The solution means to solve for x. To solve for "x", isolate the variable. This means to separate it from everything else. Do this using reverse operations in reverse BEDMAS order.

2/3 x + 5 = 1​

2/3 x + 5 - 5 = 1​ - 5    Subtract 5 from both sides

2/3 x = -4

(2/3 x) / (2/3) = (-4) / (2/3)     Divide both sides by 2/3

x = (-4) / (2/3)

x = -6    Solution

Answer:

-6

Step-by-step explanation:

For this case we have the following inequality:

[tex]3x-4y> 12[/tex]

We must find an ordered pair of the form [tex](x, y)[/tex] that meets the inequality.

Example:

Pair 1: [tex](x, y) :( 0,0)[/tex]

[tex]3 (0) -4 (0)> 12\\0> 12[/tex]

This pair does not satisfy the inequality.

Pair 2: [tex](x, y) :( 6,1)[/tex]

[tex]3 (6) -4 (1)> 12\\18-4> 12\\14> 12[/tex]

This pair satisfies the inequality!

Thus, the pair[tex](x, y) :( 6,1)[/tex] meets the inequality.

Answer:

[tex](x, y) :( 6,1)[/tex]

The farmer's hog pen, with length of 12 meters and a width of 11 meters, is 32 square meters larger than the goat pen which has a length and width of 10 meters.

First, let's establish the dimensions of both pens. For the goat pen, given that the farmer used 20 meters of fencing and one side was provided by the barn, the fence was distributed between two sides. If we assume these two sides to be equal (maximizing the area), each side would be 10 meters long.

On the other hand, the hog pen had 24 meters of fence distributed between two sides, with the length being 2 meters more than the goat pen and the width being 1 meter more than the goat pen. So, the length of the hog pen is 12 meters and width is 11 meters.

To find the difference in areas, we subtract the area of the goat pen from the hog pen. The area of a rectangle is calculated by multiplying the length by the width. For the goat pen, the area is 10m * 10m = 100m² and for the hog pen, the area is 12m * 11m = 132m². Thus, the area of the hog pen is 32m² larger than the goat pen.

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