expanded form for 208,000,478​

The requried equation of the line in slope-intercept form is y = -2x + 16.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

To find the equation of the line in slope-intercept form, we need to determine the slope and the y-intercept of the line.

We can use the two given points on the line (0, 16) and (8, 0) to find the slope of the line:

slope = (y₂ - y₁) / (x₂ - x₁)

= (0 - 16) / (8 - 0)

= -2

Next, we can use the point-slope form of the equation of a line to find the equation of the line:

y - y₁ = m(x - x₁)

We can choose either of the two given points to plug in as (x1, y1). Let's choose the point (0, 16):

y - 16 = -2(x - 0)

Simplifying this equation, we get:

y - 16 = -2x

y = -2x + 16

Therefore, the equation of the line in slope-intercept form is y = -2x + 16.

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Answer:

I'm in my bed sleeping rn, but I an sure it's x*0.06 = 30. Solve for x: x = 30/0.06?

Step-by-step explanation:

If f.ex total amount is 100 dollar, 6% of 100 dollar is 100*0.06. If you solve for the x above, you should get the answer ^^

Answer:

For 4.5 hours of work Otis's and Shireen's costs are equal

The cost for this number of hours is $277.5

Step-by-step explanation:

Let

x ----> the number of hours

y ----> the total cost

we have

Otis

[tex]y=45x+75[/tex] ----> equation A

Shireen

[tex]y=55x+30[/tex] -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (4.5,277.5)

see the attached figure

therefore

For 4.5 hours of work Otis's and Shireen's costs are equal

The cost for this number of hours is $277.5

Answer:

the answer is 5 1/4

Step-by-step explanation:

because u flip it then multiply then u get ur answer

To divide 1/6 and 7/8, we first find the reciprocal of 7/8 which is 8/7, then multiply 1/6 by 8/7 to get 8/42. We simplify this fraction to lowest terms by dividing both the numerator and denominator by their GCD, which is 2, to get the final result, 4/21.

This mathematics question is asking you to divide two fractions, which is 1/6 and 7/8. To do this, you would multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is achieved by switching the numerator and the denominator.

In this case, the reciprocal of 7/8 is 8/7. So, the equation becomes 1/6 * 8/7, which simplifies to 8/42. But this is not in lowest terms. To find the fraction in lowest terms, you would find the Greatest Common Divisor (GCD) of the numerator and the denominator. In this case, the GCD of 8 and 42 is 2.

Dividing both the numerator and denominator by 2, we get 4/21, which is the fraction in lowest terms.

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Answer:

yes, it is a perfect square trinomial because the square of binomial are (x-0.375) (x-0.375)

Answer:

A gain of 0.45

Step-by-step explanation:

Hope this helps!

Final answer:

The probability of drawing a yellow or green marble from a bag with various colored marbles is calculated by adding the individual probabilities of drawing a yellow marble and a green marble. Since there are 8 yellow and 2 green marbles out of a total of 20, the combined probability is 0.5 or 50%.

Explanation:

The question relates to the probability of drawing a yellow or green marble from a bag containing marbles of various colors. To find this probability, we must consider the total number of marbles and the number of yellow and green marbles specifically. If a bag contains 3 blue, 2 green, 8 yellow, 4 red, and 3 orange marbles, the total count of marbles is 20.

The probability of drawing a yellow marble (P(Yellow)) is the number of yellow marbles divided by the total number of marbles, which is 8/20 or 0.4. The probability of drawing a green marble (P(Green)) is the number of green marbles divided by the total number of marbles, which is 2/20 or 0.1.

The combined probability of drawing either a yellow or a green marble is found by adding the individual probabilities because these two events are mutually exclusive (they cannot both happen at the same time). So, the probability of drawing a yellow or green marble (P(Yellow or Green)) is P(Yellow) + P(Green) = 0.4 + 0.1 = 0.5.

Therefore, the probability of drawing a yellow or green marble is 0.5 or 50%.

Today the age of sun is 6 years.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

Father's present age is five times of his son's age.

Let son's age is x years,

Then father's age will be 5x.

Also, three years  ago the sum of their ages was 30.

Three years ago the age of son and father will be x - 3 and 5x - 3.

Since, the sum = 30

x - 3 + 5x - 3 = 30

6x - 6 = 30

6x = 36

x = 6

The age of son is 6 years.

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Answer:

31,

8.5

Step-by-step explanation:

1) 7.75/0.25 = (7.75×100)/(0.25×100)

= 775 ÷ 25

= 31

2) 25.5/3 = (25.5×10)/ (3×10) = 255÷30

= 8.5

I hope this was helpful, please mark as brainliest

Answer:

-1/6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-6))/(-2-4)

m=(-5+6)/-6

m=1/-6

Answer:

Commutative Property of Addition

Step-by-step explanation:

Commutative Property of Addition

a + b = b + a

2x + 4y = 4y + 2x holds Commutative Property of Addition

Answer:

A = 384 cm²

Step-by-step explanation:

Answer:

h = 8 cm

s = 10 cm

a = 12 cm

e = 11.6619 cm

r = 6 cm

V = 384 cm3³

L = 240 cm²

B = 144 cm²

A = 384 cm²

h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Formula: A = a(a + √(a² + 4h²))

Answer:

Surface area of the pyramid = [tex]384cm^2[/tex]

Step-by-step explanation:

Area of a Right Square Pyramid:

     [tex]=a^2+2a\sqrt{\frac{a^2}{4}+h^2 }[/tex]

The pyramid have base length: [tex]a=12cm[/tex]

Height:  [tex]h=8cm[/tex]

Putting the values in the formula:

Area of the Right Square pyramid;

                         [tex]=12^2+2(12)*\sqrt{\frac{12^2}{4}+8^2 }\\\\ =144+24*\sqrt{\frac{144}{4}+64 } \\\\=144+24*\sqrt{36+64}\\\\ =144+24*\sqrt{100} \\\\=144+24*10\\\\=144+240\\\\=384cm^2\\\\[/tex]

The Surface area of the pyramid is [tex]384cm^2[/tex]

Answer:

The equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex]  and y - intercept = -2  will be:

                                                [tex]y=-\:\frac{4}{3}x-2[/tex]

Step-by-step explanation:

As the slope intercept form is given by

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

here

As the given slope is

[tex]m\:=-\:\frac{4}{3}[/tex]

y - intercept = b = -2

so substituting the values in the slope intercept form

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

[tex]y=\left(-\:\frac{4}{3}\right)x+\left(-2\right)[/tex]

[tex]y=-\:\frac{4}{3}x-2[/tex]

Therefore, the equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex]  and y - intercept = -2  will be:

                                                [tex]y=-\:\frac{4}{3}x-2[/tex]

Solution:

Given that,

[tex]\text{ product of } 42.12 \text{ and } 10^3[/tex]

Which means,

[tex]42.12 \times 10^3[/tex]

Here, the exponent of 10 is positive ( which is 3)

When the exponent is positive, we have to move the decimal point to right

When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10

Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12

Therefore,

[tex]42.12 \times 10^3 = 42120[/tex]

Answer:

8x - 1 = 159 - 16y

Step-by-step explanation:

1/4x=5-1/2 y what is the value of 8x-1

Beginning from the given equation, we will find the required

Which mean, we will transform the left hand side (1/4 x) to (8x-1)

[tex]\frac{1}{4} x=5-\frac{1}{2} y[/tex]   multiply both sides by 4

∴ x = 20 - 2y

multiply both sides by 8

∴ 8x = 8 * ( 20 - 2y)

∴ 8x = 160 - 16y

Subtract 1 from both sides

8x - 1 = 160 - 16y - 1

∴ 8x - 1 = 159 - 16y

So, the value of 8x - 1 = 159 - 16y

Answer:

1. 1

2. 10

3. 12

Step-by-step explanation:

Answer: [tex]2,160\ ft^3[/tex]

Step-by-step explanation:

The first step is to find the ratio of the lengths.

According to the information given in the exercise, one the solids has edges of  12 feet and the other solid has edges of 24 feet.

Therefore, the ratio of the length of the smaller solid to the length of the is the following:

[tex]k=\frac{24\ ft}{12\ ft}\\\\k=2[/tex]

Now, the ratio to the volumes of the smaller solid to the other one is the following:

[tex]k^3=2^3=8[/tex]

Then, knowing that the volume of the smaller solid is:

[tex]V_s=270\ ft^3[/tex]

You get that the volime of the larger solid is:

[tex]V_l=270\ ft^3*8\\\\V_l=2,160\ ft^3[/tex]

To find the volume of the larger solid, we cube the ratio of the edge lengths, which in this case is 2. Then, we multiply the volume of the smaller solid by this cubed ratio to get the volume of the larger solid, which is 2160 cubic feet.

The student's question involves finding the volume of a solid similar to another solid, given the edge lengths and the volume of the smaller solid. Since the solids are similar, the ratio of their edges will be the same as the ratio of the sides, the squares of the ratio of the surfaces, and the cubes of the ratio of their volumes. For the solids in the question, the ratio of their edges is 24/12=2. Therefore, the ratio of their volumes will be 23=8.

Given the volume of the smaller solid is 270 cubic feet, the volume of the larger solid will be 270 multiplied by the volume ratio, which is 8. So the volume of the larger solid V is calculated by V = 270 x 8 = 2160 cubic feet.

Answer:

they are always positive

Step-by-step explanation:

they are always positive because two negatives equal a positive.

If both the integers are negative, then their sum is always negative.

We need to find if both the integers are negative, then what is their sum.

Adding integers is the process of finding the sum of two or more integers. It may result in an increase or a decrease in value, depending on whether the integers are positive or negative or a mixture. The addition of integers is an arithmetic operation performed on integers with the same sign or with different signs to find the sum.

Therefore, if both the integers are negative, then their sum is always negative.

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Answer:

2

Step-by-step explanation:

Answer: [tex]x=2.4[/tex]  or [tex]x=\frac{12}{5}[/tex] mark as brainliest please!

Step-by-step explanation:

[tex]12+5x=24\\-12 -12\\5x=12\\x=\frac{12}{5} \\x=2.4[/tex]

Answer:

That is a cylinder and cylinder volume = PI * radius^2 * height

radius = x + 5

height = x

volume = PI * (x + 5)^2 * x

volume = PI * (x^2 + 10x + 25) * x

volume = PI * x^3 + 10x^2 + 25x

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

4.5(32÷8)+12

32/4 = 4

4.5 x 4 = 18

18 + 12 = 30

Answer:

30

Step-by-step explanation:

PEMDAS

32/8 =4

4.5*4=18

18+12=30

Answer:

Equation 1: x + y = 10

Equation 2: y = 4x

Step-by-step explanation:

its right kekkek

Therefore, the equation is of the form

[tex]x+y=10[/tex]

[tex]y=4x[/tex]

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

The sum of two numbers is [tex]10[/tex]. The larger number is [tex]4[/tex] times the smaller number.

Let the smaller number is [tex]x[/tex]

Let the larger number is [tex]y[/tex]

The first equation is [tex]x+y=10[/tex] nad the second equation is [tex]y=4x[/tex].

Hence, the equation is of the form

[tex]x+y=10[/tex]

[tex]y=4x[/tex]

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Answer:

8x - 5y - 13

Step-by-step explanation:

(6x - 3y - 12) - (2x +2y - 10)

(6x - 3y - 12) - 2x - 2y + 10

6x - 3y - 23 - 2x - 2y + 10

8x - 5y - 13

Answer:

4x+y=22

Step-by-step explanation:

6x+3y-12-(2x+2y)=10

Based on BODMAS we will have to deal with the bracket first

6x+3y-12-2x-2y=10

To continue with the solution we will have to collect like terms

That is,

6x-2x+3y-2y=10+12

4x+y=22

This can't be solved further because we don't really know the value of x and y...it can only be solved further by knowing the value of either x or y but we are not given...so we will have to leave our final answer to be

4x+y=22

When rolling two number cubes, there are 36 possible combinations. There are 6 combinations that yield a sum of 7, so the probability is 1/6. Tamara should expect a sum of 7 about 24 times when she rolls the cubes 144 times.

When rolling two number cubes, there are 36 possible combinations. To find out how many times Tamara should expect the sum of the two cubes to be equal to 7, we need to determine the number of combinations that result in a sum of 7.

From the chart provided, we can see that there are 6 combinations that yield a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).

Since there are 6 favorable outcomes out of 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 or 1/6.

To calculate the number of times Tamara should expect a sum of 7 when she rolls the cubes 144 times, we can multiply the probability by the number of trials: (1/6) * 144 = 24.

Answer:

x + 3

Step-by-step explanation:

1. The area of a rectangle is length times width.

A = LW

2. Solve for the width by dividing both sides of the equation by the length:

W = A / L

3, Plug in the expressions for A and L:

W = (3x² + 9x) / 3x

W = (3x² / 3x) + (9x / 3x)

W = x + 3

Answer:

Option H, π/3 and 2π/3

Step-by-step explanation:

sin x = sqrt(3) / 2

It happens at 60 degrees and 120 degrees.  In radians, it is π/3 and 2π/3

Answer:  Option H, π/3 and 2π/3

Answer:

Markup: $54.60 Retail Price: $236.60

Step-by-step explanation:

Multiply 182 by 30% or 0.30. Then, add your product to the original price.

The mark up price is $ 54.60  and retail price is $236.60.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Cost of suit= $182

Mark up = 30%

Now, the mark up price

= 182 x 30/100

= 182 x 0.3

= $54.60

and, the retail price= 182+ 54.60

                                = $236.60

Hence, the mark up price is $ 54.60  and retail price is $236.60

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Answer:

yes

Step-by-step explanation: