A set of data is summarized by the stem and leaf plot below.

We can describe 15x-10 as an expression.

We would describe 6x-2<35 as an inequality.

In mathematics, inequalities characterize the connection between two non-equal numbers. Inequality means being unequal. If two values are not equal, we use the "not equal symbol". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare two numbers on the number line based on their size. In the illustration above, there's a less than sign. This means that it's an inequality.

Learn more about inequalities on:

https://brainly.com/question/24372553

#SPJ1

Answer:

[tex] \sf {\large{4\pi }}[/tex]

Step-by-step explanation:

Circumference of a circle ⭕ = [tex] 2 \pi r [/tex]

Where,

r = d/2

d means diameter

r = 4/2 = 2

So, substitute to equation C = 2πr

C = 2πr

C = (2r)π

C = (2•2)π

C = 4π

Answer:

A=40, formula for area of a rectangle is a=L×W

Step-by-step explanation:

A=L×W = 10×4

The ratio House blend/Organic Free Trade blend is the same and must remain the same.

So, the proportion is:

Where x is the unknown amount of the Organic Free Trade blend.

So, from the proportion, we have:

Answer: 156 pounds of Organic Free Trade blend

Answer:

The selling price is:  [tex]\$77,520[/tex]

Step-by-step explanation:

Step 1: Identify the profit made

A profit of 14% is made on the article.

This means that the article was sold at a price that had 14% of its original price added to it.

The 14% of the original price is:

[tex]14\% \times 68000\\=\frac{14}{100}\times 68000\\\\\text{Calculate the value}\\\frac{14}{100}\times 68000\\=9520[/tex]

So, a profit of $9520 was made

Step 2: Calculate the selling price

The selling price will be the sum of the original price and the profit.

The selling price is:

[tex]68000+9520\\=77520[/tex]

The equation using x to represent the number of guests at your party is 300 + 9x = 534

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let x represent the number of guests at your party.

Here, renting a roller rink for your birthday costs $300 plus $9 per person. This will be:

300 + 9x = 534

Collect like terms

9x = 534 - 300

9x = 234

Divide

x = 234 / 9

x = 26

The number of guest is 26.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

It is to be noted that by the proof given below, the attached shape ABCD is a kite.

A kite is a quadrilateral having reflection symmetry across a diagonal in Euclidean geometry. A kite has two equivalent angles and two pairs of adjacent equal-length sides as a result of its symmetry.

The proof is as follows:

AB = AD [Given]

∠ADC = 115°   [Angles on a Straight line]

That is 180 - 65 = 115°

∠BCD = 20°    [Vertical Angles are equal]

∠ABC = (360 - (20+115+110))

= 115°              [Angles in a quadrilateral]

Hence,

ABCD = Kite    [Definition of  a Geometric Kit]

That is

QED

See other proofs at:
https://brainly.com/question/28159445
#SPJ1

Answer:

87

Step-by-step explanation:

Answer:87

Step-by-step explanation:

Answer:
1. Hyperbole

2. Center: (0,0)

3. Vertices: (-3, 0), (3, 0)

4. Foci: (-6, 0), (6, 0)

5. Asymptotes: y =  [tex]\frac{\sqrt{18}}{3} }[/tex]x and y = [tex]-\frac{\sqrt{18}}{3} }[/tex]x

Step-by-step explanation:

Answer:

(a)Vertex

(c)3 seconds

Explanation:

Part A

The maximum point on a parabola is called the Vertex.

Part C

To find out how much the plain was in the air, find the values of t at which the height, h=0.

Next, subtract the second value of t from the first value.

First, set h=0:

Factorize:

Therefore, the plane hits the ground after 3 seconds.

we have the quadratic equation

we have that

a=1

b=-1

c=-12

Applying the formula to solve a quadratic equation

The values of u are

u=4 and u=-3

therefore

The answer is

Answer:

[tex]4^{6}[/tex] or 4096

Step-by-step explanation:

When the bases are the same, you add the exponents.

Answer:

Step-by-step explanation:

[tex]\boxed{\bf\\a^n*a^m=a^{n+m}}[/tex]

[tex]\displaystyle(4)^2\cdot(4)^4\cdot(4)^0=(4)^{2+4+0}=4^6=4096[/tex]

Answer:

6x^9

Step-by-step explanation:

Hello!

Multiply the like terms:

The correct answer is the 3rd option, 6x^9.

Answer:

a. 5.6

b. 38.4

c. 8.25

d. 24

Step-by-step explanation:

A painter has three partially filled paint cans.

The first contains 1 7/8 gallons

The second contains 1 1/5 gallons

The third contains 1 3/4 gallons

The total amount of paint is the sum of these paint cans.

Now let us add these mixed fraction numbers

As you can see, 4.825 is closest to 5.

Therefore, the correct option would be D

Answer:

The first option is correct :)

Step-by-step explanation:

x=-6, x=-2

|x+4|=2

x+4=2, x=-2

x+4=-2, x=-6

:] (Tell me if this is incorrect!)

(brainliest would help a lot)

Answer: the first one (-2,-6)

Step-by-step explanation:

|x+4| = 2

subtract 4 from both sides and you get -2

|x+4| = -2

subtract 4 from both sides and you get -6

If you want to check your answers, plug it into the original equation

Step-by-step explanation:

ax2+2x3−24x+1=y

Step 2: Add -2x^3 to both sides.

ax2+2x3−24x+1+−2x3=y+−2x3

ax2−24x+1=−2x3+y

Step 3: Add 24x to both sides.

ax2−24x+1+24x=−2x3+y+24x

ax2+1=−2x3+24x+y

Step 4: Add -1 to both sides.

ax2+1+−1=−2x3+24x+y+−1

ax2=−2x3+24x+y−1

Step 5: Divide both sides by x^2.

ax2

x2

=

−2x3+24x+y−1

x2

a=

−2x3+24x+y−1

x2

Answer:

a=

−2x3+24x+y−1

x2

The foot will be moving at a rate of 2.373 ft/s away from the wall when the top is 13 feet above the ground.

From the question, we have the following;

Hypotenuse=17 foot

Height(y)=13 feet

Base(x)=(17^2-13^2)^1/2

        =120^1/2 or sqrt(120)

The ladder against the wall is a right angle triangle, so we have:

x^2+y^2=17^2

x^2+y^2=289

Top slips down at 2ft/s

dy/dt=-2 ft/s, where height (y)=13ft

The foot will be moving horizontally(x), along the x axis, to find how fast the foot will be moving, we find dx/dt

Now, we take the derivative with respect to time:

=x^2+y^2=17^2

=2x(dx/dt)+2y(dy/dt)=0

Substitute the known values, y=13, x=sqrt(120), z=17, dy/dt=-2 ft/s

2(sqrt(120))(dx/dt)+2(13)(-2)=0

2(sqrt(120))(dx/dt)-52=0

We solve for dx/dt:

dx/dt=52/(2sqrt(120))

dx/dt=52/21.9089

dx/dt=2.373 ft/s

Learn more about motions on the ladder here:

https://brainly.com/question/15733869

#SPJ4

Graph the cubic using its end behaviour and a few selected points.

The leading coefficient test requires one variable only

Answer:

(5, 20)

Step-by-step explanation:

(5, 20) is the only ordered pair which falls on the line

For the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.

As given in the question,

Let x be the number of dimes

Then number of nickels are 8x.

As per given condition,

Total number of dimes and nickels = 18

⇒ x + 8x = 18

⇒ 9x = 18

⇒ x= 2

Number of dimes =2

Number of nickels = 8(2)

                             = 16

Conversion:

1 dime = 0.10$

1 nickel = 0.05$

Total amount of money in dollars

= 2 ×(0.10) + 16× (0.05)

= 0.20 + 0.80

= 1.00

Therefore, for the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.

Learn more about dimes here

brainly.com/question/14534255

#SPJ1

If the tank contains 12 gallons and then the car consumes 10, we can know how much gasoline is left by substracting 12 with 10:

12 - 10 = 2

Then, 2 gallons of gasoline is left in the tank

Since there is still gasoline because 12 is higher than 10, then we represent this amount with a positive value.

First, let's calculate the total amount of balls:

Since there are 2 white balls and 2 red balls, the number of white or red balls is 4.

So the probability is:

Correct option: A

Answer:

y = ( 6 / 5 )x - 5;

Step-by-step explanation:

y = - ( 1 / m )x + c;

Convert dual intercept to standard form.

5x + 6y = 18;

Subtract 5x from both sides.

6y = - 5x + 18;

Divide both sides by 6.

y = ( - 5x + 18 ) / 6;

y = ( - 5x / 6 ) + ( 18 / 6 );

y = ( - 5 / 6 )x  + 3;

Get the perpendicular line.

y = ( 6 / 5 )x + c;

Substitute the point.

7 = ( 6 / 5 )( 10 ) + c;

7 = 12 + c;

Subtract 12 from both sides.

- 5 = c;

c = - 5;

y = ( 6 / 5 )x - 5;

Answer:

$30

Step-by-step explanation:

10 x 7 = 70

7 x 4 = 28

Since it's $4 to make 10 copies, it'll be $2 to make 5

28 + 2 = 30

$30 for 75 copies (a bad deal honestly)

Please mark Brainliest!!

Answer:

$30 dollars for 75 copies

Step-by-step explanation:

What we know:

$4 for every 10 copies.

How to figure out:

Divide 4/10 = .4    .4 is the cost per copy.

We do this because if it is 4 dollars per 10 copies, then we have to figure out the cost per copy. So we have to do how many dollars goes into each copy.

Now we know the cost of one copy we can multiply the amount of copies we need by the price of one.

75 x 0.4 = 30     30 is the price of 75 copies.

The result provides convincing evidence that the tsa officers did not carrry out a truly random sample.

A simple random sample is a subset of a statistical population in which each member has an equal chance of being selected.

In statistics, a simple random sample is a subset of individuals picked at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.

In this case, it's important to note that the fact that all the people chosen were first class members means that it was bias and not a random sampling.

Learn more about sampling on:

https://brainly.com/question/24466382

#SPJ1

Answer:

-7

Step-by-step explanation:

-7 is the greatest because it is closer to 0 on the number line.

Answer:

5. -2 > x

6. 4 [tex]\leq[/tex] x

7. 0 [tex]\geq[/tex] x

8. -3 < x

Step-by-step explanation:

Answer:

15

Step-by-step explanation: