Translate the sentence into an equation.
Six more than the quotient of a number and 4 is equal to 8.
Use the variable x for the unknown number.

The perimeter of the rectangular bedroom is 126 feet.

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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Answer:

1000

Step-by-step explanation: 7+3{-1+5[2-(-9-7)4]+2} can be simplified as follows:

First, we need to solve the innermost parentheses first: -9-7 = -16

So, 7+3{-1+5[2-(-16)4]+2} becomes 7+3{-1+5[2+64]+2}

Next, we need to solve the brackets: 2+64 = 66

So, 7+3{-1+5[66]+2} becomes 7+3{-1+330+2}

Now, we need to solve the innermost parentheses again: -1+330 = 329

So, 7+3{329+2} becomes 7+3*331

Finally, we need to multiply: 3*331 = 993

So, the final answer is 7+993 = 1000.

Therefore, the value of the given expression is 1000.

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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The statement that could be true for g is D. g(-13) = 20.

We are given that the function g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, and we also know that g(0) = -2 and g(-9) = 6.

We can use this information to eliminate the statements that are not true and find the one that could be true for g.

Therefore, g(-13) is greater than g(-9) and could be 20, so this statement could be true.

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The length of the base of the triangle is 8 yards whose height is half of 28 yards.

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

The following formula provides the area of a triangle:

Area = (1/2) x base x height

We are given that the height of the triangle is half of 28 yards, which is:

height = 1/2 x 28 = 14 yards

We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:

56 = (1/2) x base x 14

Simplifying this equation, we get:

56 = 7 x base

Dividing both sides by 7, we get:

base = 8

Therefore, the length of the base of the triangle is 8 yards.

The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

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Answer:

If they can be the same fraction, like 2/3 + 2/3, then yes. If they can have different denominators, like 4/5 + 1/2, then yes. Any other way is no.

Step-by-step explanation:

The same fraction (2/3 + 2/3) will equal 4/3, which is more than 1.

Different denominators (4/5 + 1/2) will equal 13/10, which is more than 1.

Nd if I'm wrong, my bad. I really tried.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer: The answer is C. for the first question and D. for the second

Step-by-step explanation:

Answer:

im prett sure its y= -3x - 5. correct me if I'm wrong

! I WAS WRONG, its y=-3x+5

Answer:

822 × 5 + 2

Step-by-step explanation:

Given that:

4112 ÷ 5 = \(\frac{4112}{5}\)

             = 822 remainder 2

To check if the answer is correct, we can write that;

\(\frac{4112}{5}\) = 822 remainder 2

4112 = 5 x  822 remainder 2

       = 5 x  822 + 2

       = 822 x 5 + 2

4112 = 4112

Thus,the correct process of checking the answer is 822 x 5 + 2.

Answer:

p=4

Step-by-step explanation:

m=5

r=1

5=p/2+3

5-3=p/2

2=p/2 crescroos

2×2=p

p=4

m=4/2+3

m=2+3

m=5 so it is right

Answer:

517.5 mi^2

Step-by-step explanation:

Divide shapes into 3 shapes ( 1 triangle and 2 rectangles

b = 17

h = 25

Area of triangle = \(\frac{1}{2}\) Bh

A = \(\frac{1}{2}\) (17)(25)

A = 212.5 mi^2

Area of 1st rectangle = lw = 17(9) = 153 mi^2

Area of 2nd rectangle = lw = 19(8) = 152 mi^2

Area of figure = 212.5 +153 + 152 = 517.5 mi^2

The amount freedome ride charge more than Envo car in d miles is $20.05

word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.

The total charge for Enzo car =$50.50 +8¢ = $50.50 + $0.08 = $50.58

The total charge for Freedom = $70.50 + 12¢

= $70.50 + $0.12

= $70.62

therefore in d miles ;

Enzo will charge $50.58d

freedome will charge

$70.62d

therefore the amount freedome will charge more than Enzo car is $70.62 - $50.58

= $20.05

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Answer:

The field will not fit

Step-by-step explanation:

To find the angle, we will use cosine rule;

c² = (a² + b² - 2abcosC)

C in this case is θ

Thus;

15² = (8² + 20² - 2(8 × 20)cos θ)

225 = (64 + 400 - 320cos θ)

464 - 225 = 320cos θ

cos θ = 239/320

θ = cos^(-1) 0.7469

θ = 41.68°

Thus angle is not less than 40° as recommended. Thus, the field will not fit.

We have the following general rule for the substraction of fractions:

then, in this case we have the following:

simplifying, we get:

therefore, the result of the substraction is 7/15

Answer:

x - y = 3(x + 2)

Step-by-step explanation:

The difference of x and y is the same as 3 times the sum of x and 2

x - y = 3(x + 2)

x - y = 3x + 6

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer:

Answer is the last option

Answer:

a+s=1650, 3.5a+2s=4650

Step-by-step explanation:

a=adult, s=student

a+s=1650 equation 1

3.5a+2s=4650 equation 2

In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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A linear equation is an algebraic equation of the form y = mx + b. The cost of renting the truck if the truck is driven 107 miles exists $32.63.

A linear equation is an algebraic equation of the form y = mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.

Number of miles travel exists represented by "x"

cost per mile is represented by "c"

therefore we have equation,

c = 23 + 0.09 x

For 1 mile that is x = 1, cost c = $25.07

For 220 miles that is x = 220

c= 23 + 0.09 × 107

c= $32.63

For 107 miles the cost will be $32.63.

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The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

460

Step-by-step explanation:

4 tens is equivalent to 40, so 500-40 is = to 460.

Hope this helps! :D

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\(\large \bold {ANSWER}\)

\(\large \bold {SOLUTION}\)

5 hundreds is 5 multiplied by 100, so it equals 500. 4 tens is 4 times 10, so 40.

So 5 hundreds minus 4 tens is 460.

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Step-by-step explanation:

the area of a circle is

pi × r²

r is the radius (= half of the diameter) of the circle.

radius in our car is 12/2 = 6 yd

and we are to use 3.14 as pi.

so we get as area

3.14 × 6² = 3.14 × 36 = 113.04 yd²

Answer:

C because six, one and two all have 3 letters in the spelling

Answer:

x - 5

Step-by-step explanation:

\(((x - 5) {}^{ \frac{3}{2} } ) {}^{ \frac{2}{3} } \)

\((x - 5) {}^{ \frac{3}{2} } { \times }^{ \frac{2}{3} } \)

\((x - 5) {}^{ \frac{6}{6} } \)

\((x - 5) {}^{1} \)

Therefore x - 5

Answer:

option 1

Step-by-step explanation:

edge 2023

Volume of a rectangular pyramid:

Volume of a rectangular prism:

As you can see the volume of a rectangular pyramid (y) is a thrid part of the volume of a rectangular prism (x). Then, if the length, width and height of both molds is the same the volume of the rectangular prism (x) is three times the volume of the volume of the rectangular pyramid (y).

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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