Which equation represents the line with a slope of 5/6 that passes through the point (-2, 1)?
5x - 6y = -17
5x - 6y = -16
5x - 6y = 16
5x - 6y = 17

Answer:

(4 × 3) + (1 × 1)

Step-by-step explanation:

Sum means adding, so you are adding the product of 4 and 3 to the product of 1 and 1.

Product means multiplying, so you are multiplying 4 and 3 together, and since you just want an expression, this is expressed as 4 × 3.

You are also multiplying 1 and 1 together, so that can be expressed by 1 × 1.

Since you are adding these together, you just put a plus sign in between the two terms. That gives you (4 × 3) + (1 × 1).

The given equation is non-linear.

Solution:

Given expression is [tex]\frac{3}{x} +\frac{4}{y} =2[/tex].

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ [tex]\frac{3}{x} +\frac{4}{y} =2[/tex]

Do cross multiply for the fractions to make the denominators same.

⇒ [tex]\frac{3y}{yx} +\frac{4x}{yx} =2[/tex]

⇒ [tex]\frac{3y+4x}{yx} =2[/tex]

Do cross multiplication.

⇒ [tex]3y+4x=2yx[/tex]

⇒ [tex]4x+3y-2yx=0[/tex]

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.

Answer:

6 numbers

Step-by-step explanation:

Note that [tex]4<8<9,[/tex] then

[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]

and [tex]64<72<82,[/tex] then

[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]

List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]

[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]

Hence, there are 6 such numbers

The statement is not reversible.

A reversible statement is one where the implication goes both ways. In simpler terms, if the statement is true, its converse (reversing the hypothesis and conclusion) must also be true, and vice versa.

The statement is: "If (x=3) then (x²=9)". The converse, "If (x² = 9) then (x = 3)" is not always true. For example, if  x = -3, then  x² is also 9.

A biconditional statement is true if and only if both the statement and its converse are true. Because the converse of the original statement is not always true, the biconditional statement " (x = 3) if and only if (x² = 9)" is also not true.

Answer:

1 whole

Step-by-step explanation:

Answer:1

Step-by-step explanation:You have 6 sixths. That means it is a whole number

Answer:

150

Step-by-step explanation:

5*30=150

Start by multiplying 5*3, which is 15 then add the 0 back on. =150

Answer:

5 * 30 = 150

Step-by-step explanation:

5 * 30 = 5 * 3 * 10 = 15 * 10 = 150

The area of a circle can be found using this formula: A = πr²

A = area

π = 3.14

r = radius (half of diameter)

A = (3.14)(12.5)^2

A = (3.14)(156.25)

A = 490.63

Answer:

(1, 5 )

Step-by-step explanation:

To obtain a solution, substitute any value for x into the equation and solve for y, that is

x = 1 → y = 7(1) - 2 = 7 - 2 = 5 → (1, 5 )

x = - 1 → y = 7(- 1) - 2 = - 7 - 2 = - 9 → (- 1, - 9 ) is also a solution

Answer: Yes

Step-by-step explanation: Here, we want to decide if 3 is a solution for the equation 2n - 6 = 5n - 15. We can do this by simply plugging in 3 for n. If the statement holds true when 3 is plugged in for n, then 3 is a solution.

Plugging in 3 for n, we have 2(3) - 6 = 5(3) - 15.

2(3) is equal to 6 and if we subtract 6 we get 0.

On the right side, 5(3)  is equal to 15 and if we subtract 15 we get 0.

0 = 0 is a true statement so yes,

3 is a solution for the equation 2n - 6 = 5n - 15

hi, i cant see the question :(

Answer:

-1/64

Step-by-step explanation:

Just do 4 to the 3rd and make that the denominator

4^3 = 64

-1 / 64

Answer:

A) is the correct answer (6,1)

Step-by-step explanation:

The distance around the wheel is 628 feet and distance traveled in one rotation is equal to 628 feet

Solution:

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel.

It measures 200 feet in diameter

Diameter = 200 feet

We know that diameter is twice of radius

[tex]diameter = 2 \times radius\\\\200 = 2 \times radius\\\\radius = \frac{200}{2}\\\\radius = 100[/tex]

Thus radius of wheel is 100 feet

The distance around the ferris wheel is the circumference of wheel

Since, wheel is of circular shape, we can use circumference of circle formula

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

Substitute r = 100 we get,

[tex]C = 2 \times 3.14 \times 100 = 628[/tex]

Thus distance around the wheel is 628 feet

Distance traveled in one rotation = circumference of wheel

The distance traveled in one rotation is equal to 628 feet

Answer:

infinite

Step-by-step explanation:

Answer: [tex]2x^2+\frac{\pi x^2}{4}[/tex]

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

[tex]A_r=lw[/tex]

Where "l" is the lenght and "w" is the width.

The area of a semi-circle can be found with this formula:

[tex]A_{sc}=\frac{\pi r^2}{2}[/tex]

Where "r" is the radius.

 Let be "x" the shorter side of the rectangle (which is also the diameter of the semi-circle).

Based on the information given in the exercise, you know that:

[tex]w=x\\\\l=2x[/tex]

Since the radius is half the diameter:

[tex]r=\frac{x}{2}[/tex]

Observe the figure attached, which shows the stadium.

The area of the stadium is the sum of the areas of the semi-cirlcles and the rectangle.

Therefore, you can construct the following expression for the area of the stadium is terms of "x":

[tex](2x)(x)+\frac{\pi (\frac{x}{2})^2}{2}+\frac{\pi (\frac{x}{2})^2}{2}[/tex]

Simplifying it, you get:

[tex](2x)(x)+\frac{\frac{\pi x^2}{4}}{2}+\frac{\frac{\pi x^2}{4}}{2}=2x^2+\frac{\pi x^2}{4}[/tex]

The expression for the area of the stadium in terms of x is 2x^2 + πx^2/4.

The area of the stadium can be calculated by first finding the area of the rectangle and then adding the areas of the two semicircles. The long side of the rectangle is 2 times longer than the short side, so the dimensions of the rectangle are x for the short side and 2x for the long side. Therefore, the area of the rectangle is A = x * 2x = 2x^2. The formula for the area of a semicircle is A = πr^2/2, where r is the radius of the semicircle. In this case, the radius is x/2 since it is half of the short side of the rectangle. So, the area of one semicircle is π(x/2)^2/2 = πx^2/8. Since there are two semicircles, the total area of the semicircles is 2 * (πx^2/8) = πx^2/4.

Adding the area of the rectangle and the area of the semicircles, we get the expression for the total area of the stadium: A = 2x^2 + πx^2/4.

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Answer:

5x+7

Step-by-step explanation:

Answer:

Option fraction 1 and 2 over 3 units is correct

Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]units

Step-by-step explanation:

Given rectangle of length is fraction 1 over 3 units and width is fraction 1 over 2 units

It can be written as [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units

To find the perimeter of a rectangle :

Perimeter of a rectangle=2(l+w)

Substitute the values of [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units in the above formula we get

[tex]Perimeter of a rectangle=2(\frac{1}{3}+\frac{1}{2})[/tex]

[tex]=2(\frac{1(2)+1(3)}{6})[/tex]

[tex]=2(\frac{2+3}{6})[/tex]

[tex]=\frac{5}{3}[/tex]

[tex]=1\frac{2}{3}[/tex]

Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]

Therefore option fraction 1 and 2 over 3 units is correct

Answer:

Option fraction 1 and 2 over 3 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

you move the -10 to the other side of the equation

3x=84+10

3x=94

x=31 1/3

Answer:

Your goal is to get x by itself

3x-10=84

First you want to add 10 to each side

3x=94 (-10+10=0, 84+10=94)

Last step is divide each side by 3

x= 31 and 1/3 or 94/3

Hope this helps ;)

Answer:

61 bikes are regular the other 37 are moutain bikes.

Step-by-step explanation:

can i have brainliest

Answer:

61 bikes are not mountain bikes.

Step-by-step explanation:

To figure this out you have to simply subtract the amount of mountain bikes from the total amount of bikes.

98 - 37 = 61

Now you know that 61 of the bikes are not mountain bikes.

I hope this helped! :)

~CaityConcerto

Answer:

Sharmaine had an income of US$ 1,355 that week.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Hours per week Sharmaine works at an exclusive restaurant = 30

Salary of Sharmaine = US$ 3.50 per hour + tips

Tips of the week = US$ 1,250

2. What was Sharmaine’s total income?

Total income = Tips + Rate per hour

Total income = 1,250 + (3.5 * 30)

Total income = 1,250 + 105

Total income = 1,355

Sharmaine earned $105.00 from her hourly job and $1,250.00 in tips, making her total income $1,355.00 for the week.

The student asked about Sharmaine's total income for a week. Sharmaine earns an hourly wage plus tips at a restaurant. To calculate her total income, we need to add her earnings from her hourly rate to her earnings from tips.

First, we determine her earnings from her hourly wage. She works 30 hours at $3.50 per hour. So, her income from her hourly wage is 30 hours × $3.50/hour = $105.00.

Next, we add her earnings from tips. Sharmaine earned $1,250.00 in tips for the week.

Her total income for the week is her hourly earnings plus her tips: $105.00 (hourly earnings) + $1,250.00 (tips) = $1,355.00.

Therefore, Sharmaine's total income for that week is $1,355.00.

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Answer:

1. (4, 3) and (-3, 4) has  Slope  = -1/7  

2.(-2, 0) and (8, -4) has Slope  = -2/5

Step-by-step explanation:

If two such points (a,b) and (c,d) are given, then the slope S is given as:

[tex]S = (\frac{d-b}{c-a} )[/tex]

Now here, the given set of points are:

1. (4, 3) and (-3, 4)

Here, the slope S  = [tex](\frac{4-3}{-3-4}) = (\frac{1}{-7}) = -(\frac{1}{7})[/tex]

⇒ S  = -1/7

1. (-2, 0) and (8, -4)

Here, the slope S  = [tex](\frac{-4-0}{8-(-2)}) = (\frac{-4}{10}) = -(\frac{2}{5})[/tex]

⇒ S  = -2/5

Answer:

3.14 x 4.46^2= 62.39 square centimeters

Step-by-step explanation:

Answer: D. 100

Step-by-step explanation:

Answer:

c ≈ -29°

Step-by-step explanation:

To convert Fahrenheit to Celsius using the formula, substitute the degrees for Fahrenheit "f", then isolate Celsius "c".

f = [tex]\frac{9}{5}c[/tex] + 32

-20 = [tex]\frac{9}{5}c[/tex] + 32     Substitute "f" for -20

-20 - 32 = [tex]\frac{9}{5}c[/tex] + 32 - 32     Subtract 32 from both sides

-20 - 32 = [tex]\frac{9}{5}c[/tex]     +32-32 cancels out to 0. Simplify left side

-52 = [tex]\frac{9}{5}c[/tex]

-52/[tex]\frac{9}{5}[/tex] = [tex]\frac{9}{5}c/\frac{9}{5}[/tex]     Divide by 9/5 on both sides

-52/[tex]\frac{9}{5}[/tex] = c

-52[tex]*\frac{5}{9}[/tex] = c     When dividing a fraction, flip the fraction and change to multiplication

[tex]\frac{-52*5}{9}[/tex] = c     Multiply by combining into the numerator

[tex]\frac{-260}{9}[/tex] = c     Use a calculator

c = -28.8888888889°

c ≈ -29°      Round to the nearest degrees

Therefore -20°F is about -29°C.

Answer:

A15+B10=cents

Step-by-step explanation:

Answer:20000

Step-by-step explanation:

He must have worked for 50 weeks in that year.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here:  hourly rate=10/hr and annual rate is $20000 and he worked 40 hours per week

Thus in a week he earns 40×10=$400

let the person work for x weeks then we have the equation

400×x=20000

        x=50 weeks

Hence, He must have worked for 50 weeks in that year.

Learn more about the unitary method here:

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Answer:

Step-by-step explanation:

1200÷2=600