Mr. Wong traveled 45 miles on a business trip. The cost to rent a car is 30.00 plus .75 per mile. How much did Mr. Wong pay for the car rental?

The length of the rectangle is 7.875 meters and the width of the rectangle is 5.625 meters.

Perimeter of a rectangle = 2(length + width)

27 = 2(1.4x + x)

27 = 2(2.4x)

27 = 4.8x

x = 27/4.8

x = 5.625

Therefore,

Length of the rectangle = 1.4x

= 1.4(5.625)

= 7.875 meters

Width of the rectangle = x

= 5.625 meters

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The value of the given expression is -6.93

The expression in the question is given as:

negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths

Rewrite the expression properly

So, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Evaluate the quotient and the exponent

So, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Evaluate the product

-15 - 3.7 + 16.47 - 4.7

Evaluate the sum and the difference

-6.93

Hence, the value of the given expression is -6.93 (none of the options is correct)

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Answer:

Step-by-step explanation: option b

The output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33

Given the data in the question;

To determine the output value of f(11), replace all the occurrence of x with 11 in the function.

f(x) = ( x − 2 )2 + 15

f(11) = (11−2)2 + 15

f(11) = (9)2 + 15

Remove the parenthesis

f(11) = 9×2 + 15

f(11) = 18 + 15

f(11) = 33

Therefore, the output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33.

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The pressure inside the container is 81.625 pascals

From the question, we are to determine the pressure applied inside the container

From the Pressure equation, we have that

P = F/A

Where P is the pressure

F is the force

and A is the area

From the given information,

F = 1306 N

A = 16 m²

P = 1306/16

P = 81.625 pascals

Hence, the pressure inside the container is 81.625 pascals

Here is the complete question:

In the pressure equation, P represents the pressure on the object in pascals (Pa), F represents the force applied on the object in newtons (N), and A represents the area, in square meters, of the object over which the pressure is applied. What is the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied?

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The triangles are congruent by the SAS theorem not the HL Theorem

The statement is given as

Yama stated that △KLM≅△PLN by the HL Theorem

From the figure, we can conclude that the triangles are truly congruent

This is evident by the marks on the corresponding angle and the corresponding sides of the triangles

From the figure, we have

1 corresponding angle

2 corresponding sides

This means that the triangles are congruent by the SAS theorem not the HL Theorem

Hence, the triangles are congruent by the SAS theorem not the HL Theorem

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Answer:

2x6x6+7+j

34+67897790+b,xyy

Answer:

120 tissues

Step-by-step explanation:

3/5 x 200 tissues

X（´∀｀　）

Answer:

We take 120 tissues

Step-by-step explanation:

[tex]\frac{200}{1} *\frac{3}{5} = \\\\\frac{600}{5} = 120[/tex]

The ladder reaches 24 feet high on the building.

The given parameters are:

Length of ladder (l) = 30 feet

Base of the ladder (b) = 18 feet

The height (h) of the ladder on the wall of the building is calculated as

h^2 =l^2 - b^2

This gives

h^2 = 30^2- 18^2

Evaluate

h^2 = 576

Take the square rots

h = 24

Hence, the ladder reaches 24 feet high on the building.

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The missing term of the GP is: 1530.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 9180, ___, 255.

To find: the missing term of the geometric sequence.

Finding:

The geometric mean of a geometric sequence is used to find the term between two term of a geometric sequence.

Thus, Let the missing term by x.

Then, x = [tex]\sqrt{9180\times255} = \sqrt{2340900}=1530.[/tex]

Hence, the missing term of the geometric sequence is 1530,

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Using the Fundamental Counting Theorem, the number of pairs are given as follows:

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For matching pairs, we have that:

Hence the number of pairs is:

N = 2 x 20 x 19 = 760.

For the non-matching pair, we have that there are 20 red and 20 blue to choose, hence the number of pairs is:

N = 20 x 20 = 400.

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Answer:

Step-by-step explanation:

ur dad

Answer:

x = 3

Step-by-step explanation:

2(4 + 3x) + 6 = 32 ( subtract 6 from both sides )

2(4 + 3x) = 26 ( divide both sides by 2 )

4 + 3x = 13 ( subtract 4 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

As a check

substitute x = 3 into the left side of the equation and if value obtained is equal to the right side (32) then it is a solution to the equation.

2(4 + 3(3)) + 6

= 2(4 + 9) + 6

= 2(13) + 6

= 26 + 6

= 32

left side = right side

then x = 3 is the solution to the equation

Answer:

[tex] \sf \: x = 3[/tex]

Step-by-step explanation:

[tex] \sf \rightarrow \: 2(4 + 3x) + 6 = 32[/tex]

Apply the distributive property

[tex] \sf \rightarrow8 + 6x + 6 = 32[/tex]

Combine like terms

[tex] \sf \rightarrow 14 + 6x = 32[/tex]

Rearrange variables to the left side of the equation

[tex] \sf \rightarrow 6x = 32 - 14[/tex]

Calculate

[tex] \sf \rightarrow 6x = 18[/tex]

Divide both sides by the coefficient of 6

[tex] \sf \rightarrow \frac{6x}{6} = \frac{18}{6} [/tex]

Calculate

[tex] \sf \rightarrow x = \frac{18}{6} [/tex]

[tex] \sf \rightarrow \: x = 3[/tex]

The digits in millions period of the number is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

Given the number is 21,468,127,471.

The digits in which are given in the large numbers are in groups of three places. The groups are called periods. Commas are usually used to separate the periods.

The groups of numbers are 3 digit group and which is starting from the right to left.

As we all know that we read the group of periods as ones, tens, hundreds, thousand, ten thousand, hundred thousand, million, ten million, hundred million, billion etc.

From  the above, we find that the given number 21,468,127,471 contains digit 1 is in the ones place, 7 is in the tens place, 4 is in the hundredth place, 7 is in the thousand place, 2 is in the ten thousand place, 1 is in the hundred thousand place, 8 is in the million place, 6 is in the ten million place, 4 is in the hundred million place , 1 is the billion place and 2 is in the ten bilion.

Hence, the digits in millions period of the given number 21,468,127,471 is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

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Answer:   68.5

Step-by-step explanation:

6 cm + 6 cm + 18 cm+ 9.5cm + 3cm + 11cm+ 9cm+ 6cm= 68.5

~Hope this helps ;0~

1. The sequence will be 13 + 2( n - 1).

2. The sequence will be 22 + 6(n - 1).

1. It should be noted that the common difference is 15 - 13 = 2

First term = 13

Therefore, the sequence will be:

= a + (n - 1)d.

a = first term

d = difference

n = numbers

= 13 + 2( n - 1).

2. Common difference = 28 - 22 = 6

First term = 22

The sequence will be:

a + (n - 1)d

= 22 + 6(n - 1)

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Answer:

Step-by-step explanation: 2x+12x = 14x

14x=70

70/14 = 5

x = 5

Answer: x=29

Step-by-step explanation:

12=70-2x

12=-2x+70

Subtract 70 from both sides: 12-70=-2+70-70

-58=-2x

Divide both sides by the same factor: -58/-2=-2x/-2

x=29

Answer:

О C  1.494*10⁻⁶

Step-by-step explanation:

1.8*10⁸ = 180000000

8.3*10⁻³ = 0.0083

180000000 * 0.0083 = 1494000

= 1.494*10⁶

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain and the outputs are called the range.

The range for the function f(x) = |x| + 3 is {y | 3 ≤ y < ∞}.

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain and the outputs are called the range.

We have,

f(x) = |x| + 3

We need to find the range of f(x).

We can have x values of any real numbers.

For x = 0,

f(0) = 0 + 3 = 3

For x = 1,

f(1) = 1 + 3 = 4

For x = 2,

f(2) = 2 + 3 = 5

For x = 3

f(-3) = |-3| + 3 = 6

For x = -1,

f(-1) = |-1| + 3 = 1 + 3 = 4

For x = -2,

f(-2) = |-2| + 3 = 2 + 3 = 5

For x = -3,

f(-3) = |-3| + 3 = 3 + 3 = 6

We see that,

If we take x = 0, 1, 2, 3, 4, .... the f(x) values increases from 3, 4, 5, 6 and so on.

If we take x = 0 , -1, -2, -3, ..... the f(x) values increases from 3, 4, 5, 6 and so on.

This means that f(x) values are from 3 to infinity for x ∈ R

[ R = real numbers ]

Thus the range for the function f(x) = |x| + 3 is {y | 3 ≤ y < ∞}.

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Answer:

Step-by-step explanation: i think C is the answer

Answer:

s = 3 cm

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

here V = 27 cm³ , then

s³ = 27 ( take cube root of both sides )

[tex]\sqrt[3]{s^3}[/tex] = [tex]\sqrt[3]{27}[/tex]

s = 3

the length of each edge of the cube is 3 cm

∠AHF is the exterior angle to the triangle GHI, so m∠AHF = 116°.

What is exterior angle?

When one side of a triangle is stretched, an external angle is generated. An external angle of a triangle is a non-straight angle (one that is not merely an extension of a side) that is outside the triangle but next to an interior angle.

From figure, m∠CIH = 105° (given)

so, m∠GIH = (180° - m∠CIH) = (180° - 105°) = 75° (complementary angles)

And m∠BGD = 41°

So, m∠IGH = M∠BGD = 41° (vertically opposite angles)

Now, m∠AHF = m∠GIH + m∠IGH (exterior angle)

                       = 75° + 41°

                       = 116°

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Answer: (-235, -5.8)

Step-by-step explanation:

elimination

NO, for such a triangle to exist is impossible.

We are given two angles of 110° and 140°.

We have to find whether Triangle with given angles (110° and 140°) is possible or not.

We will utilize the basic knowledge of triangles and their angles to solve this problem. As we know, the sum of all triangle angles is 180°.

If

let the third angle be x

110° + 140° + x = 180

according to the angle sum property of triangles

then,

x = 180° - 250°

which is not possible.

And if we add 110 and 140, we will get 250° as a resultant, which is much greater than the sum of the three angles.

Therefore, a triangle with 110° and 140° as two of its angles is not possible.

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The area of the base of the rectangular prism will be D. 4f² - 6fg + 9g⁴.

it should be noted that from the information given, the cubes have a combined volume that is the same as a rectangular prism of the same height.

The total height of the cubes stacked on top of each other is 2f + 3g²

Therefore, the area will be:

= (2f)² - 2(3fg) + (3g²)²

= 4f² - 6fg + 9g⁴

Therefore, the area of the base of the rectangular prism will be 4f² - 6fg + 9g⁴.

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Using a system of equations, the amounts invested in each fund are given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The teacher invested 5000, hence:

x + y + z = 5000.

After a year, the amount was of $5,450, hence, considering the return rates:

1.12x + 1.08y + 1.05z = 5450.

The teacher invested twice as much in the income fund as in the money market fund, hence:

y = 2z.

Then, replacing y = 2z in the first two equations:

Replacing the first equation into the second.

1.12(5000 - 3z) + 3.21z = 5450.

0.15z = 150

z = 150/0.15

z = 1000.

Hence:

The amounts invested in each fund are given as follows:

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The value of x when y=3 is x=-3.

y ∝ x

y=kx

where k is the constant of proportionality.

put x=-2, y=2

2=k*-2

k=-1

now it's given that y=3 putting in the equation

y=kx

3=-1*x

x=-3

The value of x when y=3 is x=-3.

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Answer:

36 degrees

Step-by-step explanation:

this a complementary angle. This means that both sides add up to 90 degrees. 90-54=36

Answer:

36°

Step-by-step explanation:

These angles are complimentary, meaning they add to 90°. You know this by the little square marking.

a + 54° = 90°

a = 36°

If Miranda purchased a coat for $101.50 that was regularly priced at $145, not including tax then the percentage Miranda saved by purchasing the coat on sale is equal to 30%.

Percentage in mathematics can be described as a number expressed as a fraction of 100. The symbol % is used to indicate a percent.

The percentage Miranda saved by purchasing the coat on sale can be calculated as follows,

First, subtract the regular price from the price at which she purchased

145 - 101.50 = 43.5

Now, divide this number by the regular price of the coat,

43.5 ÷ 145 = 0.3

Now, the percentage Miranda saved can be calculated by multiplying the result by 100,

0.3 × 100 = 30%

Hence, the percentage Miranda saved by purchasing the coat on sale is calculated to be 30%.

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