2x - 7 + 3x + 10 > x - 6 + 8x - 11 PLEASE SOLVE "STEP BY STEP" AND SHOW ME THE WORK!



thank you!

Answer:

Step-by-step explanation:

answer is b

Using the formula of compound interest, the amount accumulated over 4 years is $15,849.46

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period. In Mathematics, compound interest is usually denoted by C.I.

The formula is often given as;

C.I = P(1 + r/n)^nt

Substituting the values into the formula

C.I = 200(1 + 0.0105/12)^12*4

However, over the period of 4 years, the Principal becomes

Principal = 200 * 4 * 12 = 9600

Rate = 1.05 * 12 = 12.6

C.I = 9600(1 + 12.6/12)^12 * 4

C.I = $15,849.46

Learn more on compound interest here;

https://brainly.com/question/25297315

#SPJ1

The range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

Here, we have

Given:

Horn lengths of texas longhorn cattle are normally distributed

The mean horn spread:  μ = 60 inches

With a standard deviation:  σ = 4.5 inches

According to the normal distribution, the range for the middle 95% of the values is: (μ  - 2σ,  μ + 2σ)

Replacing the given values:

(60 inches  - 2(4.5 inches), 60 inches + 2(4.5 inches))

(60 inches  - 9 inches, 60 inches + 9 inches)

(51 inches, 69 inches)

Hence, the range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)

To learn more about the normal distribution from the given link

https://brainly.com/question/4079902

#SPJ1

Solution for the equation x² + 81 = 0 is x =  ± 9i.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

x² + 81 = 0

To find the solution of the given equation,

Simplify the equation,

x² = -81

x = √-81

x = ±9√-1

Since, i = √-1

x = ± 9i

The solution for the given equation is x =  ± 9i.

To know more about Equation on:

brainly.com/question/187506

#SPJ1

A total of $316.67 has to be saved per month for the vacation at Disney.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that your parents are saving up for a fun vacation at Disney. They have figured out it will cost them a total of $3,400. They have already saved $1,500 and plan on saving for the next 6 months,

Assume that they will have to save $x every month. So we can write the inequality as -

6x ≥ (3400 - 1500)

6x ≥ 1900

x ≥ (1900/6)

x ≥ 316.67

Therefore, your parents will have to save a total of $316.67 per month for the vacation.

To solve more questions on equation modelling, visit the link below -

brainly.com/question/4252814

#SPJ1

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

3,4,5,6,6,7,7,12,13,14,14,15,15,16,17

Min:

Q1:

Med:

Q3:

Max:

To learn more about box and whiskers plot refer to :

https://brainly.com/question/19969646

#SPJ1

Answer: c=9                                                            

Step-by-step explanation:

[tex]A = 20,000 (1-0.12)^x[/tex] this equation shows the value of Marisa's car over a period of x years. Using the concept of depreciation we get this -

Depreciation is an accounting technique for spreading out the expense of a tangible item over the course of its useful life. Depreciation is a measure of how much an asset has been utilized for. It enables businesses to purchase assets over a predetermined length of time and generate income from those assets.

Given that,

Marisa buys a car for $20,000 = P

depreciates at a rate of 12% per year = r

and t is the for the time period.

As we know,

[tex]A = P (1-r)^t[/tex]

Where, A is the value of object after x period of time.

The value of Terrence's car after x years is:

[tex]A = 20,000 (1-0.12)^x[/tex]

Hence, the value of Marisa's car after x years is: [tex]A = 20,000 (1-0.12)^x[/tex]

To know more about depreciation refer to:

https://brainly.com/question/1203926

#SPJ1

Answer:f(x)=20,000(.12)^x

Step-by-step explanation:

took test

Step-by-step explanation:

225 km travels in =25 ltr

1 km travel = 225 25

540 km will require = 22525 ×540=60 L

Was this answer helpful?

Answer:

1) 540 km

2) 6 liters of petrol

Step-by-step explanation:

To answer the two questions, it is easiest to fist find the relationship between kilometers (km) and liters of petrol. Since 7 liters (L) results in 315 km, we can find the km/liter petrol conversion factor (converts liters of petrol to km):

(315 km)/(7 liters) = 45 km/L

1) 12 liters times the conversion factor will tell us how many km the motorcycle will travel"

(12 liters)*(45 km/liter) = 540 km [Note that the liters unit cancles, leaving only km]

2) To find the liters of petrol to travel 270 km, we can use the same conversion factor, but now we need to divide to get the units we want, which is km:

(270 km)/(45 km/l) = 6 liters [Note that km cancels and l moves to the top, leaving liters as the only unit.

Simplest Radical Form of the given question is [tex]216\sqrt{10}[/tex].

An phrase that has a root, typically a square or cube root, is referred to as a radical.

The radical consists of three separate parts:

Radicand :This is the one whose root you are discovering.

A radical equation is one that contains the square root, or at least one other variable expression, inside a radical.

Degree: It expresses the degree of radicand multiplication. If a number appears on the root symbol but is absent, it is taken to be 2. (square root).

Symbol: Usually √

Given

[tex]9,8\sqrt{90}\\ 9*8\sqrt{90}=9*8\sqrt{9*10}=9*8*3\sqrt{10} \\=216\sqrt{10}[/tex]

Simplest Radical Form of the given question is [tex]216\sqrt{10}[/tex].

To refer more about Radicals, visit:

https://brainly.com/question/28519153

#SPJ1

He spent $200 on 0 tickets for children, 10 tickets for adults, and 20 tickets for seniors.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Total number of tickets brought=30

Total amount paid=$200

Cost of kid ticket=$3.5

Cost of adult ticket=$8

Cost of senior ticket=$6

Let x, y, z be the number of tickets brought for kid, adult, senior.

x+y+z=30

3.5x+8y+6z=200

2y=x+z

x+y+z=30

3y=30

y=10

x+z=20

z=20-x

3.5x+80+6(20-x)=200

3.5x+80+120-6x=200

2.5x=0

x=0

z=20

He bought 0 tickets for kid, 10 tickets for adult and 20 tickets for senior with an amount of $200.

To know more about equation,

https://brainly.com/question/649785

#SPJ4

The triangle pair that is similar from the given pair is "Triangle Pair 2" .

In the question ,

four triangle pairs are given ,

we have to select the triangle pair that is similar ,

In triangle Pair 2 ,

In triangle BAD and triangle BCD ,

angle A = angle C     ....given ,

side BD = side BD   ......because common side

side AD = side BC     ....because opposite side of parallelogram are equal.

So , the triangle BAD is congruent to triangle BCD ,

So , the triangle pair 2 is congruent .

Therefore , the correct option is (b) Triangle Pair 2   .

The given question is incomplete , the complete question is

Similar Triangles Sorting Activity , Which triangle pair shows similar triangles ?

(a) Triangle Pair 1

(b) Triangle Pair 2

(c) Triangle Pair 3

(d) Triangle Pair 4

Learn more about Similar Triangles here

https://brainly.com/question/29122030

#SPJ4

Answer: sqrt 10

Step-by-step explanation:

3.16227...

Answer:

see explanation

Step-by-step explanation:

After solving a system of equations.

the solution is

36 = 32 ← not possible

the fact that we have 36 = 32, an impossible equation, means that the system has no solution.

Answer: √-18 = 3√2 i

Because i is √-1 so think like √18 x √-1 which means √18 i so answer is 3√2 i

Answer:

321.2 * 10^6

Step-by-step explanation:

First at all:

4.4 x  10^6 = 4.400.000

Then 73 * (4,4 x 10^6) = 73* 4.400.000

(73)*(4.400.000) = 321.200.000

In scientific notation:

321.2 * 10^6

Answer:

ED

Step-by-step explanation:

They both have side ED in their triangles!

Subtraction property will satisfy given inequality option D.

Let's understand what is the Subtraction property

By balancing an equation with the same mathematical operation on both sides, the term "subtraction property of equality" is used.

Given inequality m< A + M <B = M<C. if we subtract both side equal value then we will get M<A = M<C - M<B. then we will get this result

or we can do cross-verify all other option

Transitive-According to the transitive property, "all the quantities are equal to each other if two quantities are equal to the third quantity."

Symmetric-Actually quite straightforward, equality has the symmetric property. According to this property, if a = b, then b must also be a. In other words, even if two equations' sides are switched, the.

Reflexive - It is said that a number is always equal to itself because of the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a. a=a.

So here we can see option D is most probable solution for given inequality.

Given Question is incomplete complete Question here

Name the Property of Equality that justifies the statement:

If m< A + M <B = M<C.

Then, M<A = M<C - M<B

Transitive Property

Symmetric Property

Reflexive Property

Subtraction Property

To know more about Mathematical property here

https://brainly.com/question/28274212

#SPJ4

Answer:

8

Step-by-step explanation:

The first step would be to determine if both the numerator and the denominator have a highest common factor. If they do, then the number can be simplified into a smaller fraction. Here, the denominator can be fully divided out by 64 to make the whole number 8

Answer:

y+3x=-16

Step-by-step explanation:

y=mx+c

y=-3x+c

-3x is the gradient

-5 is the x value and -1 is the y value

-1=-3x-5+c

-1=15+c

-16=c

y=-3x-16

y+3x=-16

Answer: If 4/9 of the fish have a red stripe, we can determine the total number of fish in the tank by dividing the number of fish with red stripes by the fraction of fish with red stripes. This gives us 12 / (4/9) = 12 * (9/4) = 27 fish. So, there are 27 fish in the tank.

[tex] \frac{4}{9} x = 12[/tex]

[tex]x = 12 \times \frac{9}{4} [/tex]

[tex]12 \times 9 = 108[/tex]

[tex]4 \times 1 = 4[/tex]

[tex]x = \frac{108}{4} [/tex]

[tex]x = 27[/tex]

There are 27 fish in the tank. Hope this helps.

Answer: use a graf

Step-by-step explanation:

find the negative numbers and positive number

In 24-hour period there will be 94143178827 virus in system.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given:

A virus reproduces by tripling every half hour.

In start the virus is 1.

After half an hour, virus= 3

After one hour= 9 virus

After 1 1/2 hour= 27

We get a geometric Sequence

1, 3, 9, 27, 81, ....

Using

[tex]a_n = a_1 (r)^{n-1[/tex]

[tex]a_{24} = 1 ( 3/1)^ {23[/tex]

[tex]a_{24[/tex] = 94143178827

Hence, In 24-hour period there will be 94143178827 virus in system.

Learn more about geometric Sequence here:

https://brainly.com/question/11266123

#SPJ1

Answer: True

Step-by-step explanation:

The slope is the rate of change, to find it, you can get rise/run or use the equation y2 - y1 / x2 - x1

So it is true!

The equation for the relationship between the regular price (r) and the neighbor's price (n) will be r - n = 250.

A mathematical expression with an equals sign is referred to as an equation.

Algebra is widely used in equations.

When performing calculations but unsure of the precise number, algebra is used.

Linear equations: Any equation that can be expressed as ax + by + c = 0, where a, b, and c are all real numbers and a and b are not equal to zero.

In light of the posed query.

Khalid keeps bees and sells honey from them.

Additionally, n stands for the neighbor's honey price in dollars and r stands for the ordinary honey price in dollars.

We can determine the discount from the provided information.

7 - 4.50 = 2.50

8 - 5.50 = 2.50

10 - 7.50 = 2.50

12 - 9.50 = 2.50

Khalid gives his neighbor $2.50.

The equation for the link between the regular price r and the neighbor's price n will therefore be: r - n = 250

Therefore, the equation for the relationship between the regular price (r) and the neighbor's price (n) will be r - n = 250.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Complete question:

Khalid raises bees and sells the honey. He gives a discount to his neighbors. The table shows the neighbors' price, n, of buying honey that has a regular price of r dollars. Write an equation that represents the relationship. I put two pictures below to help. :)

Answer: r - n = 2.5

Step-by-step explanation: Took Quiz

The study of probability is a field of mathematics that focuses on determining the possibility that an event will occur.

To learn more about probability refer to:

https://brainly.com/question/9304381

#SPJ1

The distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

The distance between the line ax +by +c =0 and the point (x₁, y₁) is given by:

[tex]d=\frac{|ax_{1}+by_{1}+c|}{\sqrt{a^2+b^2}}[/tex]

Given that, the line passes through the points (0,-3) and (7,4).

The equation of the line is given by:

[tex]y -(-3)=\frac{4-(-3)}{7-0}(x-0)\\\\y+3=x\\\\x-y-3=0[/tex]

Now, the distance between the line x - y - 3 = 0 and point (4,3) is:
[tex]d=\frac{|1\times4+(-1)\times3+(-3)|}{\sqrt{1^2 +(-1)^2}}\\\\d=\frac{2}{\sqrt{2}}\\\\d=\sqrt{2}[/tex]

Hence, the distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

Learn more about the distance between a line and a point:
https://brainly.com/question/11558698

#SPJ1