what is the solution to the equation 13.7y= 6.2y+ 30?

Answer:

16-7x

Step-by-step explanation:

10x-3x+7-6-4x+5

16-7x

Answer:

1,792 c = 112 gal.

Step-by-step explanation:

Because their 16 cups in 1 gallon, we will divide 1,793 by 16 and we get 112.  Therefore, 112 is our answer.

Answer:

112 gallons

Step-by-step explanation:

there are 16 cups in 1 gallon

1=16

?=1792

to solve this, divide 1792 by 16 to get 112 gallons

112*16 is 1792

Answer: The value of p and q for which the system of equations represent coincident lines is p = 2 and q = 1.

Step-by-step explanation: To represent coincident lines, the two lines must be proportional. Therefore, the slope of the second line must be equal to the slope of the first line.

The slope of the first line is 3/2. The slope of the second line is p + 2q + 2/p + q + 1. Therefore, we set these two equal:

3/2 = p + 2q + 2/p + q + 1.

Cross multiplying, we get:

3(p + q + 1) = 2(p + 2q + 2).

Simplifying, we get:

3p + 3q + 3 = 2p + 4q + 4.

Combining like terms, we get:

p - q = 1.

Therefore, the value of p and q for which the system of equations represents coincident lines is p = 2 and q = 1.

Answer:

i'm not to sure but i think its all no

Step-by-step explanation:

Using PEDMAS to solve the mathematical expression given, the value is 2

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. It is an acronym used to remember the order of operations in math problems. It is also sometimes referred to as Order of Operations.

In this problem, we will need to use and apply the rules of PEMDAS.

We will need to break this into different components and then bring them together afterwards.

[(3/5 + 0.425 - 0.005) ÷ 0.1] / [30.5 + 1/6 + 3(1/3)] + [6(3/4) + 5(1/2)] / [(26 ÷ 3(5/7)] - 0.05

This becomes ;

[10.2 / 34] + [12.25 / 7] - 0.005

We can further resolve this into

2.05 - 0.005

And then we just subtract the values from one another

2.05 - 0.005 = 2

Learn more on PEDMAS here;

https://brainly.com/question/550188

#SPJ1

The area of the triangular plot of land from the vertices is 20 square units

From the question, we have the following parameters that can be used in our computation:

A(1,5), B(7,5), and C(8,0)

Represent the vertices properly

So, we have the following representation

A = (1,5)

B = (7,5)

C = (8,0)

The area of the triangle is calculated from the vertices using the following equation

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

Substitute the known values in the above equation, so, we have the following representation

Area = 0.5 * |1 * (5 - 0) + 7 * (5 + 0) + 8 * (5 - 5)|

Evaluate the sum of products

Area = 0.5 * |40|

Remove the absolute bracket

Area = 0.5 * 40

Evaluate

Area = 20

Hence, the area of ABC with vertices is 20 square units

Read more about areas at:

brainly.com/question/22972014

#SPJ1

Complete question

The vertices of a trangular plot of land are A(1,5), B(7,5), and C(8,0)

Calculate the area.

The value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations.

A number is 6 more than half of the other number, which is x.

This statement is represented by the mathematical equation x/2 + 6.

So, we have the expression:

4x(3-x)+5x(x-2)

Now, the value of the expression when x = -3.

Insert values and calculate as follows:

4x(3-x)+5x(x-2)

4(-3)(3-(-3))+5(-3)((-3)-2)

-12(6)-15(-5)

-72 + 75

3

Therefore, the value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.

Know more about expressions here:

https://brainly.com/question/28934492

#SPJ4

Correct question:

What is the value of the expression 4x(3-x)+5x(x-2) for x=(-3)​?

Answer:

Sabemos que una función lineal es de la forma:

f(x) = m*x

Mientras que una funcion afin es de la forma:

g(x) = m*x + n

Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).

a) y = -5*x

No tenemos término constante, entonces es una función lineal.

b) y = -3*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

c) y = 2*x + 4

Acá tenemos un término constante igual a 4, entonces esto es una función afín.

d) y = (1/4)*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

Given:

The given expressions are [tex]2x^2(x+2)(x-2)[/tex] and [tex]4x(x+2)(x-4)[/tex].

To find:

The H.C.F. of the given expressions.

Solution:

The two expressions are:

[tex]2x^2(x+2)(x-2)[/tex]

[tex]4x(x+2)(x-4)[/tex]

It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.

[tex]H.C.F.=2x(x+2)[/tex]

Therefore, the H.C.F of the given expressions is [tex]2x(x+2)[/tex].

Answer:

36

Step-by-step explanation:

The formulas are 3+. 75x and 14+. 5x. Plug them into a graphing calculator and find where the lines intersect. Or plug in each answer choice for x and see which one give you the same answer

Answer:

44

Step-by-step explanation:

i cant show work, but i got this same question right.

Answer:

4/7

Step-by-step explanation:

5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7

Answer:

a=15

Step-by-step explanation:

Yes, the lengths of the two sides of an isosceles triangle are equal.

An isosceles triangle is a type of triangle that has two sides that are equal in length. The other side of the triangle can be either longer or shorter than the two equal sides. The two equal sides are called the legs, and the other side is called the base. The angles opposite the two equal sides are also equal in measure. Because of this, the two equal sides create an angle bisector that divides the base into two equal parts. This angle bisector forms two angles of equal measure as well. Thus, the two equal sides of an isosceles triangle are a defining feature of the shape.

Learn more about isosceles triangle here

https://brainly.com/question/2456591

#SPJ4

Answer:

A

Step-by-step explanation:

36 divided by 4 is 9 than you multiple that by 3 which is 27.

Domain: all the real numbers  

Range: y ≤ 9/5

i hope u can see the attached graph! :)

Answer:

a)

Step-by-step explanation:

vertex is at (-0.4, 1.8) so range must be less than or equal to 1.8

Answer: False

The estimated points can be found first by counting on the x-axis then the y-axis. Negative numbers are to be counted downward on the y-axis, positive numbers are to be counted upwards on the y-axis. Negative numbers are to be counted to the left of the x-axis, positive numbers are to be counted to the right of the x-axis

Answer:

13X

Step-by-step explanation:

if I am correct I added 6+7 then add X to it.

Answer:

∠ 1 = 37°

Step-by-step explanation:

(9x - 8) and (6x + 7) are corresponding angles and are congruent, then

9x - 8 = 6x + 7 ( subtract 6x from both sides )

3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

∠ 1 = 6x + 7 = 6(5) + 7 = 30 + 7 = 37°

Answer:

x=42.5

Step-by-step explanation:

First, start by setting up the equation

these are both same side interior angles, so they both add up to 180

(3x+10) + x = 180

4x+10 =180

subtract both sides by 10

    -10    -10

4x=170

divide both sides by 4

x=42.5

Answer: D

Step-by-step explanation:

In this problem, we are asked to find the domain of the function. Domain is finding the interval of the function of the x value.

Since we are finding domain, we can eliminate A and B because those are looking at y interval, or range.

This leaves us with C and D. They are almost the same except for the ≤ in C and < in D. The difference between ≤ and < is the fact that ≤ includes and touches the point, and < doesn't.

The function has open circles at x=-3 and x=3. That means they don't touch and include x=-3 and x=3. The function only get's really close to those points, but not include them. This tells us that D is the answer.

The domain of the function is {x | −3 < x < 3}. Thus, Option D holds the truth.

The domain of a function refers to the interval of the x values of the function.

In this case, we are asked to find the domain of a linear function that is shown on a graph. The graph starts at an open circle at negative 3, negative 5 and ends at an open circle at 3, 7.

To find the domain, we need to look at the x interval of the function. Options A and B refer to the y interval or range and can be eliminated.

The remaining options, C and D, are similar, except for the fact that C includes and touches the point with "≤", while D doesn't with "<". The open circles at x=-3 and x=3 indicate that the function only gets close to these points, but does not include or touch them.

Thus, the correct answer is option D, {x | −3 < x < 3}.

Learn more about linear function here: brainly.com/question/15602982

#SPJ1

Answer:

3x([tex]y^{4}[/tex]+2)-9

hope this helps :DDDDD

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, a complete question is in the form:

Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. 260°

Solution:

There are four quadrants which divides into four equal parts. If θ is the angle:

If θ falls in the first quadrant, the reference angle = θ

If θ falls in the second quadrant, the reference angle = 180 - θ

If θ falls in the third quadrant, the reference angle = θ - 180

If θ falls in the fourth quadrant, the reference angle = 360 - θ

Given 260°, this falls in the third quadrant, hence the reference angle = 260 - 180 = 80°.

In the third quadrant, sine and cosine are negative while tangent is positive. Hence:

sin(260) = -sin(80) = -0.985

cos(260) = -cos(80) = -0.174

tan(260) = tan(80) = 5.67

Answer:

A. 9 [tex]cm^{2}[/tex]

B. 9.6 [tex]cm^{2}[/tex]

C. 38.4 [tex]cm^{2}[/tex]

D. 47.4 [tex]cm^{2}[/tex]

Step-by-step explanation:

A. Area of the base of the pyramid = length x length

                                               = 3 x 3

                                               = 9 [tex]cm^{2}[/tex]

B. Area of one lateral face of the pyramid = area of a triangle

                                                = [tex]\frac{1}{2}[/tex] x base x height

                                                = [tex]\frac{1}{2}[/tex] x 3 x 6.4

                                                = 9.6 [tex]cm^{2}[/tex]

Area of one lateral face of the pyramid  = 9.6 [tex]cm^{2}[/tex]

C. The lateral surface area of the pyramid =  4 x area of one lateral face

                                                  = 4 x 9.6

                                                  = 38.4

The lateral surface area of the pyramid =  38.4 [tex]cm^{2}[/tex]

D. The total surface area of the pyramid = lateral surface area of the pyramid +  area of the base

                                                  = 38.4 + 9

                                                  = 47.4

The total surface area of the pyramid = 47.4 [tex]cm^{2}[/tex]

For the polynomial 9, 3x², 8x; the degree is 2 and the leading coefficient is 3

An equation is used to show the relationship between numbers and variables.

Polynomial is an expression composed of variables, constants and exponents using mathematical operations such as addition, subtraction, multiplication and division

The degree is the highest exponent of variable for the polynomial. The polynomial with degree of 2 is known as a quadratic polynomial

Given the polynomial:

9, 3x², 8x

Writing in standard form is done by rearranging from highest exponent of variable to least. This is:

3x², 8x, 9

Hence the degree is 2 and the leading coefficient is 3

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide. So the height of the box is 4.2 feet.

The formula to find the volume of a rectangular box is

V = lwh

where l is the length, w is the width, and h is the height.

Given that the volume of the box is 15.75 cubic feet, the length is 2.5 feet and the width is 1.5 feet, we can use the formula to find the height.

V = lwh

15.75 = 2.5 × 1.5 × h

h = 15.75/ (2.5 × 1.5)

h = 4.2

Therefore, the height of the box is h = 4.2 feet

To know more on volume of cuboid

https://brainly.com/question/29160677

#SPJ4

Answer:

7.5

Step-by-step explanation:

You didn't list the right answer choices. But I think 7.5 is the answer.

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a correlation or regression includes zero, that means that if you run the experiment again there is a good chance of finding no correlation in the data.

In both of these cases, you will also find a high p-value when you run the statistical test, meaning that the results could have occurred under the null hypothesis of no relationship between variables or no difference between groups.

To learn more about null hypothesis:

https://brainly.com/question/28920252

#SPJ4

Answer:

Step-by-step explanation:

because HA⊥HR, HR⊥DR, so HA ║ DR, then we know ∠DHR=∠ARH,

we konw, AR=HD, They have a common segment HR, as well as the same angle，so HRA≅RHD

Answer:

pretty sure its 5

Step-by-step explanation:

Answer:

∠1 = 90° because the figure is a kite and the diagonals form 90° angles

∠2 = 90° - 27° = 63°

∠3 = ∠2 = 63°

Answer:

m<1 = 90 degrees

m<2 = 63 degrees

m<3 = 63 degrees

Step-by-step explanation: Angle 1 is a right angle, which is equal to 90 degrees. To find angle 2, you must know that a triangle's angles all add up to 180 degrees. You must realize that the angle below the 2 is 90 degrees since it is supplementary to angle 1. Now, you have to add the given angle of 27 degrees to 90 degrees and then subtract that sum from 180 degrees to get an answer of 63 degrees (27+90=117 --> 180-117=63). Angles 2 and 3 have the same value because they are basically symetrical to one another since both of their triangle's side lengths are equivalent.