the point {-2,1} is on the line given by which equation below

Answer: x=3

Step-by-step explanation:

Assuming you want to solve the system,

You are already given y = 4, so plug 4 in for the other y in the other equation.

[tex]y=\frac{8}{3} x-4\\\\4=\frac{8}{3} x-4\\4+4=\frac{8}{3} x-4+4\\\frac{3}{8}\times 8=\frac{3}{8} \times\frac{8}{3}x\\\\x=3[/tex]

The weight of the bicycle is 19.375 pounds.

In physics and engineering, the weight of an object refers to the gravitational force that pulls on it. Weight is frequently described as a scalar quantity that measures the gravitational force's strength.

The weight of the frame of the bicycle= 16 pounds

1 pound= 16 ounces

Therefore, 16 pounds= 16 x 16 = 256 ounces

The weight of one tire= 9 ounces

Therefore, the weight of two tires= 9 x 2 = 18 ounces

The weight of the seat= 12 ounces

The weight of handlebars= 24 ounces

Therefore, the total weight of the bicycle = 256 + 18 + 12 + 24                                                                              

                                                                     = 310 ounces

Therefore, the bicycle weighs 310 ounces

That is 310/ 16 = 19.375 pounds

To know more about weights, visit:

https://brainly.com/question/10069252

#SPJ1

Answer:1/8

Step-by-step explanation:

The reciprocal of a number is what you multiply by a number to give 1. Therefore

8x = 1

x = 1/8

The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.

Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:

㏒ (a / b) = ㏒ a - ㏒ b

㏒ aᵇ = b · ㏒ a

First, write the logarithmic equation:

㏒ 0.81

㏒ 81 / 100

Second, use the logarithmic property for a division:

㏒ 81 - ㏒ 100

Third, use the logarithmic property for a power:

㏒ 3⁴ - ㏒ 10²

4 · ㏒ 3 - 2 · ㏒ 10

4 · ㏒ 3 - 2

4 · 0.477 - 2

- 0.092

To learn more on logarithms: https://brainly.com/question/20785664

#SPJ1

Answer:  3.46

Step-by-step explanation:

5[tex]u^{2}[/tex] = 60

 [tex]u^{2}[/tex] = 12

 u = [tex]\sqrt{12}[/tex]

 u = 3.46

Answer: x=-2

Step-by-step explanation:

they’re corresponding angles meaning they’re congruent or equal to each other then solve like any other problem

Answer:

3cm,4cm,5cm

Step-by-step explanation:

5 is the longest side ( the hypotenuse)

and by Pythagoras theorem x=√(3²+4²)

= √(9+16)

=√(25)

= 5

so 3cm,4cm,5cm is a right angle triangle.

x=√(27²+36²)

=√(729+ 1296)

=√2025

=45

so 27cm,36cm,45cm is a right angle triangle

Answer:

A = 3

B = -1

C = 5

Step-by-step explanation:

y - 7 = 3(x - 4)    Distribute the 3

y - 7 = 3x -12  subtract y from both sides

-7 = 3x -y -12  Add 12 to both sides

5 =3x -y  Flip the equation around the equal sign

3x -y = 5

The 3 is the A, -1 is the B and 5 is the C.

The figure that should be the next, following the pattern is option (b)

The missing information that completes this question is added as an attachment

From the attached figure, we have the following pattern:

When the pattern is studied carefully, we can see that the next figure is the figure in option (b)

This is so because the figure in option (b) is gotten by rotating the last figure in the pattern by 45 degrees to the right

Hence, the conclusion about the figure that should be the next figure is that the next figure should be figure (b)

Read more about sequence and pattern at

https://brainly.com/question/17386984

#SPJ1

By trigonometric formulas and algebra properties, the equivalence between the trigonometric expression (sin x - cos x)² and the trigonometric expression 1 - 2 · sin x · cos x.

In this problem we need to prove if the trigonometric expression (sin x - cos x)² is equivalent to the trigonometric expression 1 - 2 · sin x · cos x, this can be proved by trigonometric formulas and algebra properties. First, write the initial expression:

(sin x - cos x)²

Second, expand the binomial:

sin² x - 2 · sin x · cos x + cos² x

Third, use the fundamental trigonometric expression:

1 - 2 · sin x · cos x

To learn more on trigonometric equations: https://brainly.com/question/22624805

#SPJ1

Min-Seo and Orlando have the same ratio of responses but Jian and Leona do have not the same ratio of responses.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given information in the question,

The ratios given in the question are,

2.

The ratio obtained by Min-SEO = 4/5 and,

The ratio obtained by Orlando = 8/10

The ratio in the simplest form will be: 4/5

This means that Nin-SEO and Orlando have the same ratio of responses.

3.

The ratio obtained by Jian = 3/4 and,

The ratio obtained by Leona = 10/12

The simplest form of ratio = 5/6

This means that Jian and Leona do have not the same ratio of responses.

To know more about Ratios:

https://brainly.com/question/13419413

#SPJ1

The cost of one square inch of the cookie cake is $5.

What is area of circle?

The area encircled by a circle with radius r is known as πr^2 in geometry. Here, the Greek letter π stands for the constant proportion of a circle's circumference to its diameter, which is roughly equal to 3.14159.

Given:

A circular cookie cake costs $15.70.

The diameter of the cookie cake is 10 inches.

We have to find the cost of one square inch of the cookie cake.

Let the diameter is 10 inches.

So, the radius is 10/2 = 5 inches.

Area of circle = πr^2

                      = 3.14 x (5)^2

                       = 3.14 x 25

Area of circle  = 78.5 square inches.

So, the cost of one square inch cookie cake is,

78.5 / 15.70 = 5

Hence, the cost of one square inch of the cookie cake is $5.

To know more about area of circle, click on the link

https://brainly.com/question/14068861

#SPJ1

Answer: The answer is $0.20.

Step-by-step explanation: Hope this helps! :)

Answer:

$33

Step-by-step explanation:

l=prt = 30 × 0.05 × 2=3

total save = 30+ 3= 33

Answer: x= (2)/5 & x= (-2)/5

Step-by-step explanation:

Factor Form:

1. Use the sum product patturn

25x^2-4=0 → 25x^2+10-10-4=0

2. Common factors from each pair

25x^2+10-10-4=0 → 5x(5x+2)-2(5x+2)=0

3. Rewrite the factored form

5x(5x+2)-2(5x+2)=0 → (5x+2)(5x-2)=0

4. Create separate equations

(5x+2)(5x-2)=0 → 5x+2=0  5x-2=0

5. Solve

5x+2=0  5x-2=0 → x=(2)/5   x=(-2)/5

The rate that best represents the relationship between the number of square feet and the number of gallons of paint is 156 square feet per gallon of paint.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that a contractor has 18 gallons of paint that will cover 2,808 square feet. Therefore, the relationship between the number of square feet and the number of gallons of paint can be written as,

Number of square feet per gallon of paint

= Total area painted by 18 gallons / Total area of the paint

= 2,808 square feet / 18 gallons

= 156 square feet per gallon of paint

Hence, the correct option is C.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ1

The complete question is:

A contractor has 18 gallons of paint which will cover 2,808 square feet. Which of the following rates best represents the relationship between the number of square feet and the number of gallons of paint?

1 point

A. 182 gallons of paint per square foot

B. 2,912 gallons of paint per square foot

C. 156 square feet per gallon of paint

D. 16 square feet per gallon of paint

The number is -136.

Two or more expressions with an equal sign are defined as an equation.

Let the number be x.

Given that, two more than the number, x, is 15 less than the product of 7/8 and the number, therefore:

x + 2 = (7/8)x - 15

x - (7/8)x = -15 -2

x/8 = -17

x = -136

Hence, the number is -136.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ1

The distance between Texas and Rhode Island will be;

⇒ 2.59 × 10⁵ square miles

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles.

Now,

Since, Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles.

Hence, The distance between Texas and Rhode Island will be find as;

⇒ 2.6 × 10⁵ - 1.21 × 10³

⇒ 260 × 10³ - 1.21 × 10³

⇒ (260 - 1.21) × 10³

⇒ 258.79 × 10³

⇒ 2.59 × 10⁵ square miles

Thus, The distance between Texas and Rhode Island will be;

⇒ 2.59 × 10⁵ square miles

Learn more about the subtraction visit:

https://brainly.com/question/188220

#SPJ1

Answer: 32

Step-by-step explanation:

4 ÷ 1/8
You can reduce the expression by cancelling out common factors;
4/1 ÷ 1/8
Cross cancel the ones, and then multiply 4 and 8
4 x 8 = 32

Let p be the amount of sales (in dollars) of phones.

Let c be the amount of sales (in dollars) of computers.

Equation 1: sales

    p + c = 2100

the amount of all sales is 2100

Equation 2: commission

   0.05p + 0.07c = 119

5% commission on phones plus 7% commission on computers totals to 119

The similarity is that Sunni and Shia Muslims agree on the fundamental tenets of Islam, such as worshiping Allah as God, acknowledging Muhammad (Peace Be Upon Him) as the Prophet, and adhering to the Quran's teachings.

The difference is that Shia place a greater emphasis on Muhammad's family ancestry through a succession of Imams than Sunnis do on imitating the Prophet and his example.

All Shia and Sunni Muslims recognize the importance of the Quran; contrary to popular belief, Shi'a does not use a corrupted version of the Quran.

Shi'a and Sunni Muslims both use the Hadith, though they often prefer different collections of sayings.

They have different perspectives on imams. Imams are considered saints in Sunni Islam and must have a strong commitment to the Quran and Sunnah in order to be nominated. In Shia Islam, however, only God has the authority to name an imam. Only imams in Shia Islam have the authority to translate the Quran.

Learn more about Islam on:

https://brainly.com/question/29529496

#SPJ1

The slope is 0.003

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

the coordinates are (12000, 20) and (18000, 2)

so, slope= 18 / 6000

              = 0.003

The 3 in the thousandths place rounds down to 3, or stays the same, because the digit to the right in the ten thousandths place is 0.003.

Hence, the slope is 0.003.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

Answer:

z = 3.125 * x

Step-by-step explanation:

since y is 80 percent of z, we can represent it in the form of a ratio as 80:100.

Simplify it down: 80:100 = 8:10 = 4:5

therefore x:y = 2:5
and y:z = 4:5

"y" is common in both of these ratios. Therefore we now have to make the value of Y same in both of the ratios. Therefore we find the least common multiple of both the y values which is 5 and 4. It is 20.

Now we make the value of y in both the ratios 20. So we need to multiply 5 in 2:5 by 4. Since we multiplied one of the values by 4 we have to multiply the other one as well (2*4). Now our new ratio for x:y is 8:20. Do the same for the other ratio. the other ratio is 4:5. the y value here is 4. 4 needs to be multiplied by 5 to become 20. Therefore multiply 4 by 5 and multiply 5 by 4. our new ratio for y:z is 20:25

As  you can see both the y values are similar now.

x:y = 8:20

y:x = 20:25

therefore we can now write x:y:z as 8:20:25

that also means that x:z is now 8:25.

Now we know that when x is 8 z is 25. in this case. 8 and 25 are directly proportional.

therefore we can write an equation as
25 = k*8
k = 25/8

k = 3.125

therefore z = 3.125 * x

The correlation of the data shown on the graph is 0

In this question, the graph represents the given parameter

From the graph, we have the following observations

When the change (increase) in the x values causes a random change (increment) in the y values, then the correlation is 0

From the list of options, we have

-1, -0.5 and 1 are not zero i.e. 0

This means that the correlation is (a) 0

Hence, the correlation of the data is 1

Read more about correlation at

brainly.com/question/16355498

#SPJ1

[tex]\fbox{x=$\dfrac{3}{2}$}[/tex] or [tex]\fbox{x=1.5}[/tex]

Simplify Equation:

[tex]24-10x=9[/tex]

[tex]-10x+24=9[/tex]

Subtract 24 from both sides:

[tex]-10x+24-24=9-24[/tex]

[tex]-10x=-15[/tex]

Divide both sides by -10:

[tex]\dfrac{-10x}{-10} =\dfrac{-15}{-10}[/tex]

[tex]x=\dfrac{3}{2}[/tex] or [tex]x=1.5[/tex]

Answer:

range is { - 21, 4 , 14 }

Step-by-step explanation:

the domain gives the value of x , the input

the range is the corresponding values of y, the output

substitute values of x from the domain into the function

x = - 2 : y = - 5(- 2) + 4 = 10 + 4 = 14

x = 0 : y = - 5(0) + 4 = 0 + 4 = 4

x = 5 : y = - 5(5) + 4 = - 25 + 4 = - 21

then range is { - 21, 4 , 14 }

Answer: 48 3/4 miles/hour.

Step-by-step explanation: To find Daniel's speed in miles per hour, we need to first convert the time he rollerbladed to hours. We can do this by dividing the number of minutes he rollerbladed by 60 minutes per hour, as follows:

time in hours = 4 minutes / 60 minutes/hour = 1/15 hours

We can then use the formula for speed, which is distance divided by time, to find Daniel's speed in miles per hour as follows:

speed in miles per hour = distance in miles / time in hours

speed in miles per hour = 3 1/4 miles / 1/15 hours

speed in miles per hour = 3 1/4 miles * 15 hours/1

speed in miles per hour = 48 3/4 miles/hour

Therefore, Daniel's speed in miles per hour was 48 3/4 miles/hour.

Answer:

Check explanation!

Step-by-step explanation:

Daniel  rollerbladed at 15 mph, we know this because 60 divided by 4 = 15 (number of minutes in an hour divided by his time = answer)

so daniel rollerbladed at 15 mph

The length of the hypotenuse side of the right triangle ΔXYZ, found using Pythagorean Theorem is b·√(10)

Pythagorean Theorem  indicates that the square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the square of the legs of the right triangle.

The specified parameters of triangle are;

The hypotenuse of the triangle, ΔXYZ = [tex]\overline{YZ}[/tex]

The length of the legs of the right triangle are;

[tex]\overline{XY}[/tex] = b, and [tex]\overline{XZ}[/tex] = 3 × [tex]\overline{XY}[/tex]

Therefore;

[tex]\overline{XZ}[/tex] = 3 × b (substitution property of equality)

The length of the hypotenuse side can be calculated as follows;

Therefore;, according to Pythagorean theorem, we get;

[tex]\overline{YZ}[/tex]² = [tex]\overline{XY}[/tex]²  +  [tex]\overline{XY}[/tex]²

[tex]\overline{YZ}[/tex]² = b²  +  (3·b)² = b² + 9·b² = 10·b²

[tex]\overline{YZ}[/tex] = [tex]\sqrt{10\cdot b^2} = b \cdot \sqrt{10}[/tex]

The  length of the  hypotenuse side , [tex]\overline{YZ}[/tex] = b·√(10)

Learn more about Pythagorean theorem in mathematics here:

https://brainly.com/question/343682

#SPJ1