What is the next step in the construction?

Answer:

A. 8

Step-by-step explanation:

Geometric mean= √(4×16) = √64 = 8

He can buy $100  of gasoline that you can buy if you also get a car wash and can spend at most $30.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

The symbol a b indicates that an is smaller than b.

When a > b is used, it indicates that an is bigger than b.

Given Data

The gas station charges $0.20 less per gallon of gasoline if a customer also gets a car wash. A car wash cost $10.

Inequality-

$0.2x + $10 = $30

0.2x = $20

x = 100

He can buy $100  of gasoline that you can buy if you also get a car wash and can spend at most $30.

To learn more about inequality, visit:

https://brainly.com/question/15064057

#SPJ9

Answer:

3/5 is the smallest, 7/9 is in the middle and 5/6 is the biggest

Step-by-step explanation:

Brainlest, Please!

Answer: 3/5 is first, 7/9 is second, and 5/6 is last.

Given

Point A = (25, 98)

Point B = (55, 92)

Procedure

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

Now, what about b, the y-intercept?

The equation of the line that passes through the points

(25,98) and (55,92)

Cost of the ad is $167.5

What is cost?

A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.

The cost of the ad per column inch = $67

So, the cost of 2¹/₂ inch = 67 x 2¹/₂ = $167.5

To know more about cost, click on the link

https://brainly.com/question/24353331

#SPJ10

Answer:

264

Step-by-step explanation:

0.75x352

As a result, the value of x is 20. Vertically opposite angles are formed by two straight intersecting lines that are opposite one another at a specific vertex.

Here to find y,

∠A = ∠B ( vertically opposite angles are equal ).

5y - 8 = 42

5y = 42 +8

5y = 50

y = 10

To find ∠A,

∠ A = 5y - 8

        = 5 x 10 - 8

        = 50 -8

         = 42°.

we know that angle on a straight line is 180°.

So , ∠A + ∠C = 180°

       42 + ∠C = 180°

       ∠C = 180 - 42

       ∠ C = 138°.

Since ∠C = ∠D (vertically opposite angle ).

          ∠D = 138°

As a result, the value of x is 20.

To learn more about vertically opposite angle refer to :

https://brainly.com/question/68367

#SPJ13

Check the picture below.

Yes they are vertical angles, the angles are nonadjacent and are formed by intersecting lines.

When two lines that are straight intersect with each other, they form two pairs of opposite angles that are called vertical angles.

Vertical angles share a common vertex both no common sides and are therefore referred to as non-adjacent angles.

Thus, the image shows that lines intersect to form angle 4 and angle 7.

Angle 4 and angle 7 share a common vertex but do not share a common side, hence they are nonadjacent to each other, as shown in the diagram.

We can conclude that they are vertical angles because they are nonadjacent and are formed by intersecting lines.

Learn more about vertical angles on:

https://brainly.com/question/14362353

#SPJ1

The given system of equations represented as a matrix is

[tex]\left[\begin{array}{ccc}2&3&5\\-1&0&4\\-6&-1&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\10\\12\end{array}\right][/tex]

From the question, we are to represent the given system of linear equations with a matrix.

The given system of equations is

2x + 3y + 5z = 9

-x + 4z = 10

-6x + z -12 = y

First, we will write the third equation in standard form

-6x + z -12 = y

This becomes

-6x - y + z = 12

Thus,

The system of equations becomes

2x + 3y + 5z = 9

-x + 4z = 10

-6x - y + z = 12

Thus,

The system of equations can be written as a matrix as shown below

[tex]\left[\begin{array}{ccc}2&3&5\\-1&0&4\\-6&-1&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\10\\12\end{array}\right][/tex]

Learn more on Writing system of equations as a matrix here: https://brainly.com/question/24274472

#SPJ1

From the calculations, we could obtain the maximum speed of the car as 72.6 miles/hr.

The term proportionality gives us an idea of the nature of the relationship that does exist between the variables in a given situation. The proportionality could be;

1) Direct

2) Inverse

3) Joint

Given that  the stopping distance (D) varies directly as the speed (S), we could say;

D α S

Introducing the constant k

D = kS

k = D/S

k = 0.027 miles/40 mile/hr

k = 6.75 * 10^-4 hours

Maximum speed = D/k

= 0.049 miles/ 6.75 * 10^-4 hours

= 72.6 miles/hr

Learn more about maximum speed:https://brainly.com/question/10236290

#SPJ1

Check the picture below.

so the quadrilateral is really two triangles, each with a base of 3 and a height of 6

[tex]\stackrel{\textit{area of the two triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{3})(\underset{h}{6}) \right]\implies 2(9)\implies} \text{\LARGE 18}[/tex]

Answer:

Step-by-step explanation:

If the sum of three consecutive odd number is 81, find the numbers.​

(81 - 6) : 3 = 25

25 + 2 = 27

27 + 2 = 29

--------------------------

check

25+27+29=81

the answer is good

Answer:

315 over 1700

1700 long division enclose 315

315 ÷ 1700

Step-by-step explanation:

315 divided by 1700 can be written in each of the three ways listed above.

Answer:

Step-by-step explanation:

2/3 ÷ 4/9 What is the answer?

2/3 : 4/9 =

2/3 * 9/4 =

3/2

Answer:negative slope, slope=-3/5

Step-by-step explanation:
To find slope:

Rise/Run

Rise/Run: down 3 left 5 so -3/5

The product of any two negative numbers is positive.

Consider a positive number to be something as a gift, and a negative number to be something you give to me.

So, let's say you get 4 laptops from me, and - 4 means you give away 4 laptops to me.

Now when you say - 4 + - 4 + - 4 + - 4 + - 4.

This means that you are giving away 4 laptops 5 times to me, so basically you have given away 20 laptops, which means I have 20 laptops and you have - 20.

Now, - 4 * - 5 means, you give away 5 laptops, for - 5 times to me. But the second number is - 4, so the receiver, that is me, is giving it back to you. Thus indirectly, you gave away 4 chocolates to yourself 5 times. Thus you have 20 laptops.

Learn more about the product of 2 negative numbers here: brainly.com/question/13831313

#SPJ1

Answer: Zero Product Property

Step-by-step explanation:

Answer:

Well, am not sure if am correct, if a = 0 and if b = 0, then both terms have the same value. The law this equation ab = 0 is following is called Zero Product Property.

Step-by-step explanation:

a x b

Suppose a x b = 0

Then either a = 0 or b = 0

so these are the two possible cases.

1. 0 x b = 0

2. a x 0 = 0

Therefore, the product of the a and b is equal to zero when a is equal to zero or b is equal to zero. This rule is the zero product property.

Triangles 2, 4, 6, 8, 9, 10, 12, 14, and 15 are not translations of triangle 1.

In mathematics, a translation is an up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more directions have been altered. There is no change in the shape because it is simply being moved from one location to another.

The object may move left at first, then right, and so forth. The object's position can change, as well as the manner in which it does so. Each point on the shape will move by the same number of units during translation.

Therefore, triangles 2, 4, 6, 8, 9, 10, 12, 14, and 15 are not translations of triangle 1.

To learn more about triangle translation, visit :

https://brainly.com/question/12463306

#SPJ13

Answer:x=10

Step-by-step explanation:

1. Simplify both sides of the equation. -3(x+4)=-6x+18 to -3x - 12=-6x + 18

2. Add 6x to both sides. -3x - 12=-6x + 18 to -3x - 12 + 6x=-6x + 18 +6x which would equal to 3x - 12=18

3. Add 12 to both sides. 3x - 12 + 12=18 + 12.

4. Divide both sides by 3. 3x/3=30/3 which equals x=10.

From the question, we are asked to find the area.

Since all the sides of the figure are the same, then it is a square.

So we will be using the area of a square formula to solve it.

Formula for area of a square is:

Area = a x a = a²

a = 5 in

So,

Area = 5 x 5 = 5² = 25

Therefore, the area of the square is 25 in²

From trigonometric ratios we calculate the value of the cos C is 4/9 and the value of cosec C is 9/√65 .

Real functions known as trigonometric functions in mathematics connect right-angled triangle angles and the ratios of their two side lengths.

We know that sec C = 1/cos C

Hence the value of cos C = 4/9 .

Again we know that the value of sin C=1/cosec c

Therefore the value of cosec C is 9/√65 .

To learn more about trigonometric ratios visit:

https://brainly.com/question/25122832

#SPJ1

The slope of the line is indefinite (∞). Also, the line will be parallel to the x-axis.

It is given in the question that a line passes through the points (7, 10) and (7, 20).

We have to find the slope of the line.

We know that,

Slope of a line with coordinates (a,b)  and (c,d) is given by:-

(d - b)/( c - a)

Here,

a = 7,

b = 10,

c = 7 and,

d = 20

Hence, we can write,

Slope of the line = (20 - 10)/( 7 - 7) = 10/0 = ∞.

Hence, the slope of the line is indefinite.

Here, as the x -coordinate of both the points are same, this line will be parallel to the x - axis.

To learn more about slope of the line, here:-

https://brainly.com/question/14511992

#SPJ1

Answer: 8/7 is your answer

Step-by-step explanation:

Answer:

Exact Form:

8/7

Decimal Form:

1.42857

Mixed Number Form:

1 1/7

glad i could hep

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

The true statement about the result is that D. The survey suffers from voluntary response bias and may not estimate true support for the extended hours

From the information, in order to measure support for extended hours, the citizen visits neighborhood homes and asks adults the research question.

This illustrates bias as the citizen wants to propose to the city council extending the hours at the local public library on some weekdays.

Therefore, the true support may not be illustrated. In conclusion, the correct option is D.

Learn more about survey on:

brainly.com/question/14610641

#SPJ1

Answer:

line I is parallel toM to know how you got follow me and ask the the question

Explanation:

Erase line L since we won't be using it. Erase every angle but angle 5 and angle 6.

If angle 5 and angle 6 are congruent, then we can use the converse of the corresponding angles postulate to show that lines p and q are parallel.

Angle 5 and angle 6 are corresponding angles since they are both in the same northeast corner, i.e. they're both in the same corresponding position so to speak.

The option that best describes the elevation of Desert Shores is; A. Desert Shores is lower than 55 meters below sea level.

We are told that the elevation of Desert Shores, California, is less than -55 meters.

Now, an elevation of a natural landmass like this is usually given with reference to the sea level. If above sea level, it is positive but if below sea level, it is negative.

Now, the elevation is negative as we can see that it is given as -55 meters. Thus, we can easily conclude that Desert Shores is lower than 55 meters below sea level.

Read more about Elevation below sea level at; https://brainly.com/question/2092614

#SPJ1

Hello! So...

We are given the following to solve:

Solve for x.

[tex]\frac{2}{3} (2x-\frac{1}{2})=13[/tex]

_______________________________________

1. Multiply both sides by 3.

[tex]3[/tex] × [tex]\frac{2}{3}(2x-\frac{1}{2})=13[/tex] × [tex]3[/tex]

_______________________________________

2. Simplify.

[tex]4x-1=39[/tex]

_______________________________________

3. Add 1 to both sides.

[tex]4x-1+1=39+1[/tex]

_______________________________________

4. Simplify.

[tex]4x=40[/tex]

_______________________________________

5. Divide both sides by 4.

[tex]\frac{4x}{4} =\frac{40}{4}[/tex]

_______________________________________

6. Simplify.

[tex]x=10[/tex]

^Hence, our solution.

__________________________________________________

Hope this helps! If you need anything else, don't hesitate to comment below and I'll see what else I can do for you. Thanks and good luck!

Answer:

1. Correct

2. Incorrect

3. Correct

4. Correct

5. Incorrect

Step-by-step explanation:

For the ones you got wrong:

1 / (-3)² = 1/9

and

[tex]3^{-2}[/tex] = 1/9

Answer:

First one is correct

Second one is 1/9

Third one is -1/9

Fourth one is 1/9

Fifth one is 1/9

Step-by-step explanation:

Second one -

Fifth one - calculate 3 to the power of -2 to get

1/9