Mathematics High School

## Answers

**Answer 1**

**Answer:**

18 is the minimum value.

**Step-by-step explanation:**

Set up an equation:

13 [tex]\leq[/tex] x - 5

Add 5 on both sides to isolate x:

(13) + 5 [tex]\leq[/tex] (x - 5) + 5

18 [tex]\leq[/tex] x

X can be equal to or greater than 18 so the minimum value of the number is 18.

Hope this helps!

## Related Questions

Angle R and angle J are a linear pair. If the measure of R = 3x - 5 and the measure of J = 5x + 1 find the measure of J.

### Answers

The **measure** of **angle J** is **116°**

What are linear pairs of angle?

**Linear pair** of angles are angles formed when two lines intersect at a single point.

Angles are said to be linear if they are **adjacent** to each other with the intersection of the two lines.

Note that the sum of angles of a linear pair is equal to 180°.

From the information given, we have that;

Angle R = 3x - 5Angle J = 5x + 1

But we have the expression as;

Angle R + Angle J = 180°

substitute the values into the equation

3x - 5 + 5x + 1 = 180°

collect like terms

8x - 4 = 180°

8x = 180 + 4

8x = 184

To determine the value of x, divide both sides by the 8

8x/8 = 184/8

Divide through

x = 23

But we have that;

Angle J = 5x + 1

Angle J = 5(23) + 1

Angle J = 115 + 1

Angle J = 116°

Thus, the **measure**** **of **angle**** ****J**** **is **116°**

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a number is 10 more than another number. twice the sum of the two numbers is 44 . find the two numbers.

### Answers

**Answer:**

The two numbers are 8 and -2

**Step-by-step explanation:**

a=b+10

2(a+b)=12

you then substitute the first equation's value for a into the second equation.

2(b+10+b)=12

2(2b+10)=12

4b+20=12

b+5=3

b=-2

Then you substitute this value for b back into the first equation.

a=b+10

a=-2+10

a=8

true or false: the difference between cross-sectional and time series data is whether the data is evaluated at a single point in time or multiple points in time

### Answers

The statement "the difference between **cross**-**sectional **and **time series data **is whether the **data **is evaluated at a single point in time or multiple factors in time" is true.

The distinction between **cross**-**sectional data **and **time**-**series data **is that **time**-**series data **takes into account the identical variables over a period of time, whereas **cross**-**sectional data **makes use of specific records for a specific factor in time.

A **data **set may be both **time series **and **cross sectional**.

When the records of go sectional records is regressed, the defined and explanatory variables are all related to the identical single length or point in time.

**Time-series **and **cross**-**section **(TSCS) **data **collectively are normally analyzed in political technology and associated disciplines.

Therefore, the statement "the difference between **cross sectional **and **time series data **is whether the **data **is evaluated at a single point in time or multiple factors in time" is true.

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You have timed yourself and found that you can read 8 pages of a novel in 10 minutes. Your homework tonight is to read 42 pages in the novel. How many minutes should it take you? Round your answer to the nearest tenth if needed.

### Answers

It will take 53 **minutes** to read 42 pages in a novel

Given,

The** time taken **to read 8 pages in a novel = 10 minutes

Therefore, the time taken to read 1 page = 10 ÷ 8 = 1.25 minutes

Now,

We have to find the time taken to read 42 pages of a novel.

Time to read 42 pages = 42 × 1.25

Time taken = 52.5 minutes

We can round it to** nearest tenth**, that is 53 minutes.

That is, the** time taken** to read 42 pages in a novel is 53 minutes.

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MARKING BRAINLEIST IF CORRECT

Answer choices:

1. Alternate Interior Angles Theorem; 2 Definition of Congruence

1. Alternate Exterior Angles Theorem; 2. Substitution Property

1. Definition of Congruence; 2. Alternate Interior Angles Theorem

1. Substitution Property; 2. Alternate Exterior Angles Theorem

### Answers

**Answer:**

I think it's B (or A?)

**Step-by-step explanation:**

For alternate interior, they are alternate interior angles

Then for 2, they are equal and congruent, but they are SUBSTITITUING the angle numbers to the equation.

pls brainliest if I'm right :D

The equation y = 2.50x determines the total cost, y, of buying x carnival tickets. Use the drop-down menu to complete the sentence.

According to the equation, 15 carnival tickets would cost.

.

### Answers

The **cost **of 15 carnival tickets is **37.5 dollars.**

How to use the equation to find the cost of 15 ticket ?

The **equation** y = 2.50x determines the total cost, y, of buying x carnival tickets.

where

x = number of carnival tickety = total cost

Therefore, according to the **equation**, the cost of 15 carnival ticket can be calculated as follows:

**y = 2.50x**

where

x = 15

Hence,

y = 2.50 × 15

**y = 37.5 dollars**

Therefore, the cost of 15 carnival tickets is **37.5 dollars.**

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30a^3+36a^2b+25ab^2+30b^3

### Answers

**Answer:**

(5a + 6b)(6[tex]a^{2}[/tex] + 5[tex]b^{2}[/tex])

**Step-by-step explanation:**

1. Factor out common terms in the first two terms, then in the last two terms

2. Factor out the common term 5a + 6b

Please answer these two questions!

### Answers

**Answer:**

The answer to your first question would be B. The answer to the second is C.

**Step-by-step explanation:**

Hope it helps! =D

determine if the numerical value describes a parameter or a statistic. a recent poll of 2707 home owners in michigan showed that the average price of their houses is $265,000

### Answers

The numerical value is a **statistic.**

**What is a statistic?**

A p**arameter **is a value that is used to describe a whole population. A **statistic** is a number that describes a sample.

There would be more than 2707 **homeowners **in Michigan. Thus, only a **sample **of all **homeowners **was used. Since a **sample **was used the numerical value is a **statistic.**

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the base of a ladder is 10 feet away from the bottom of a building’s wall. if the ladder makes a 35 ◦ angle with the ground, find the length of the ladder to the nearest tenth of a foot.

### Answers

The length of the ladder to the nearest tenth of a foot as evaluated by trigonometric ratios is; 12.2ft.

What is the length of the ladder as discussed to the nearest of a foot?

Since the base of the ladder as indicated in the task content is 10 feet away from the bottom of a building's wall, it follows that the set-up in discuss is analogues to a right triangle whose adjacent is 10ft;

Therefore, the length of the ladder which is the hypothenuse can be evaluated as follows;

cos 35° = 10/L

L = 10/cos 35

L = 12.2ft.

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What is the value of x? Round to the nearest tenths place.

15 ft

20 ft

X

### Answers

The **solution** to the value of x is** 5 < x < 15**

The sides of a triangle

A triangle is a shape that has **3 sides and angles**. According the triangle rule, the **sum of any two sides **of a triangle is equal to the third.

From the given triangle shown;

15+x > 20 + 15 > 20 + x

Simplify

15+x > 20

x > 20 - 15

x > 5

Also;

20+15 > 20 + x

35 > 20 + x

35 - 20 >x

x < 15

Hence the **solution** to the value of x is** 5 < x < 15**

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a clydes dale drinks about 120 gallons of every 4 days at this rate how many gallons of water does a clydsdale drink in 28 days

### Answers

The gallons of water that a clydsdale drink in 28 days will be **840 gallons**.

How to calculate the gallons?

It should be noted that Clyde's **dale** drinks about 120 gallons of every 4 days. Therefore, the gallons Frank in a day will be:

= 120 / 4

= 30 gallons

Therefore, the **gallons** drank for 28 days will be:

= 30 × 28

= 840 gallons.

Therefore, the **gallons** of water that a clydsdale drink in 28 days will be 840 gallons.

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Explain how you can use a graphing calculator to determine if a table of values represents a proportional function.

### Answers

Table: x and y **increments **must be the same. X and y increments need not be the same.

The x and y exponents should be 1.** Linear equation.**

Graphs should be straight.

This is further explained below.

Explain how you can use a graphing calculator to determine if a table of values represents a proportional function:

Generally, Based on the table, you need to ensure that the **increments **for the x values and the y values are the same.

It is not necessary for the **increment **to be the same for both the x and y values.

The following conclusion may be drawn from an equation: both the x and y exponents should be set to 1.

It seems like we need a line **equation **for this problem.

In conclusion, Inferred from a **graph**: the shape of the **graph **ought to be that of an unbroken **line**.

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Simplify the expression

a. x^2

b. x^3

c. x^1/3

d. x^1/2

### Answers

**Answer:**

d

**Step-by-step explanation:**

When you exponent an exponent with another exponent, you multiply them together

[tex]Answer:\ x^\frac{1}{2}[/tex]

**Step-by-step explanation:**

[tex](x^\frac{1}{6})^3=\\\\ x^\frac{1*3}{6}=\\\\ x^\frac{3}{2*3} =\\\\x^\frac{1}{2}[/tex]

help me understand this

### Answers

**Answer:**

2

**Step-by-step explanation:**

According to the table, when x changes 7 units, y will change 14 units

x y

-28 -54

-21. -40

-14 - 26

-7 - 12

0 2

y-intercept is where the line intersects y axis, which x = 0

so y-intercept is 2

4. Which of the following differences could not give a distance between two points on a number line? Explain why. a. 19-7 c. -12-(-7) b. -3 - (-18) d. 14-(-6)

### Answers

**-12 -(-7) could not** be a** distance.**

**Distance:**

Distance traveled is the total length of the path traveled between two positions. It can either be a 0 or a positive number that's mean it **can never be a negative number.**

So from the above-given statement we have

a) 19-7 = 12 (which is positive number)

b) -12 - (-7) = -12 + 7 = -5 ( which is a negative number)

c) -3-(-18) = -3 + 18 = 15 ( which is a positive number)

d) 14-(-6) = 14 + 6 = 20 ( which is a positive number)

Therefore option b i.e.,** -12 - (-7) cannot be a distance **between two points on a number line.

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Evaluate 4+2(x+6)^2 for x=-3

### Answers

**=**** ****(****-****5****4****)**

**Step-by-step explanation:**

ATQ

4+2(x+6)^2

6(x^2+12x+216)=0 [ {a+b}^2 = a^2+2ab+b^2 ]

6x^2 +72x+216=0

*P**u**t** **t**h**e** **v**a**l**u**e** **o**f** **x**=**(**-**3**)*

*S**o** **,*

*6x^2 +72x+36=0*

**6****(****-****3****)****^****2****+****7****2****(****-****3****)****+****2****1****6****=****0**

**6****×****(****-****9****)****+****7****2****×****(****-****3****)****+****2****1****6****=****0**

**(****-****5****4****)****+****(****-****2****1****6****)****+****2****1****6****=****0**

**=**** **** ***-***5****4**** **

**H****e****n****c****e****,**** ****t****h****e**** ****s****o****l****u****t****i****o****n**** ****i****s**** ****-****5****4**** ****a****t**** ****x****=****(****-****3****)****.**

**T****h****a****n****k**** ****Y****o****u**** **

Evaluate: b - a for a = 2 and b = 7

O -5

O 5

O 9

O 14

### Answers

**b - a = 5 **

Here we have to find the value of b-a,

Where, a = 2 and b =7

By putting the value of a and b we have,

b - a =7 - 2

= 5

Therefore** b-a = 5 **that is **option b **is the correct answer.

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In a bag, there are numbered tiles 1 through 10. You will pick a tile, replace it, then pick another one. Find the following probabilities.

P (1, the 3)

P ( odd, then number less than 4 )

P ( even, then odd )

Please help, this paper is due tomorrow and I have no idea what I'm doing!

### Answers

**Answer:**

Wait, can you explain the answer choices, I don't understand them.

**Step-by-step explanation:**

Question8: Find the miss

exponent (y)

(3x³)(4x³) = 12x¹2

### Answers

**Answer: 12x⁶**

**Step-by-step explanation:**

[tex](3x^3)(4x^3)=\\\\(3)(4)(x^3)(x^3)=\\\\12x^{3+3}=\\\\12x^6[/tex]

The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write

and solve a compound inequality to show the possible lengths of the third side.

09≤x≤18

O 18 ≤x≤ 33

036 ≤x≤ 42

045 ≤x≤ 60

### Answers

If the sum of three lengths of a fence ranges from 45 to 60 inches and two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the **compound inequality** to show the possible length of the third side is **18≤x≤33**

Given,

The range of sum of three lengths = 45 to 60 inches

Length of other two side = 9 and 18 inches

Length of third side = x

Sum of three lengths = 9+18+x

= 27+x

The range of sum of three lengths is 45 to 60

then,

45≤27+x≤60

Subtract 27 from each part

18≤x≤33

Hence, if the sum of three lengths of a fence ranges from 45 to 60 inches and two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the **compound inequality** to show the possible length of the third side is **18≤x≤33**

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**Answer:**

B

**Step-by-step explanation:**

This is because 18 is less than or equal to x which is less than or equal to 33. Your welcome

You can rent a bird scooter in Atlanta according to the function e(x)=0.15x+1.00 to unlock the scooter and $0.15 each minute to rent.

Let e(x) represent the total cost of the rental after x minutes.

a. interpret e(3)=1.45

b. find the e(10).

c. let e(x)-5.50. x=__

d. domain___ range___

### Answers

**Answer:**

17.23

**Step-by-step explanation:**

a trip to washington from boston will take you 534 hours. if you have traveled 13 of the way, how much longer will the trip take?

### Answers

There are **356 hrs** left to the trip.

534 hours are required to go from Washington to Boston [tex]dfrac13[/tex] of the trip is already finished. The time remaining to complete the journey would then be [tex]dfrac23[/tex]of the way. To get the number of hours left to the trip is shown below:

[tex]534 hours[/tex] ×[tex]2/3[/tex] [tex]=\frac{534}{3}[/tex]

[tex]= (178)(3)(2)/3[/tex]

[tex]=356 hrs[/tex]

**Is Boston near Washington, DC?**

**Boston**, Massachusetts is roughly 450 miles southwest of **Washington**. There are numerous ways to travel from Boston to Washington, DC due to the proximity of the** two cities**, including via rail, airline, bus, and vehicle.

Your best option for getting from Boston to Washington, DC will depend on your **individual needs**, including how much time you want to spend on the road, your financial situation, and the specific points of origin and destination in each city. **Flying** will get you there the quickest, and because there are so many **direct flights**, it can also be relatively economical.

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Given CAD is a right angle and AB is bisecting CAD and if DAB=(7x-4) find X

### Answers

**Answer:**

7°

**Step-by-step explanation:**

Just a quick clarification, swap A and B on the diagram.

If CAD is a right angle, it is equal to 90°. Since AB is bisecting CAD, angles CAB and DAB are congruent(equal) and complementary(add up to 90) angles, and thus equal 45°. By the transitive property, if DAB = (7x - 4)° and also equals 45°, (7x - 4)° = 45°. So we can simply solve for x.

7x - 4 = 45

7x - 4 + 4 = 45 + 4

7x = 49

7x/7 = 49/7

x = 7

Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?

### Answers

The **cost **of one **cherry pies **is** $ 5** and the **cost **of one **blackberry pies **is** $ 9.**

Let the **cost **of **cherry pies **be x and the **cost **of **blackberry** **pies **be y.

In case of Carlos, we get the **equation **as:

7 x + 4 y = 71 …(1)

In case of Elisa, we get the **equation **as:

3 x + 4 y = 51

4 y = 51 - 3 x …(2)

Put **equation **(2) in **equation **(1)

7 x + 51 - 3 x = 71

4 x = 71 - 51

4 x = 20

x = 20 / 4

x = 5

4 y = 51 - 3 (5)

4 y = 51 - 15

4 y = 36

y = 36 / 4

y = 9

Therefore, we get that, the **cost **of one **cherry pies **is** $ 5** and the **cost **of one **blackberry pies **is** $ 9.**

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If f(x) = -x + 6, find f(-3).

Find f

### Answers

The value of function f when x is (-3) is **9**.

To solve the value of function for the value of x as **-3**, we will simply keep the value of x in the equation.

Rewriting the equation

f(x) = -x + 6

**Keep the values** of x in the above equation

f(x) = - (-3) + 6

Adding the two negative signs, hence, the value will be 3.

f(x) = 3 + 6

Performing addition to find the value of f(x) when value of x is (-3)

f(x) = 9

Therefore, the value of f(x) is **9**.

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NEED HELP ASAP!!! 50 pts (Algebra 2, Systems of Equations)

The Smith family is trying to decide what theme park to visit on their vacation. Family Fun Land costs $12 per person and $40 for parking. Blue Jay Bay costs $22 per person and $12 for parking. Explain their different options depending on how many people go.

### Answers

**Answer: **For groups with over 3 people, Family Fun Land is the best option. It's cheapest for groups of 1 or 2 to go to Blue Jay Bay.

**Step-by-step explanation:**

Family Fun Land | y = total $, x = # of people

y = 12x + 40

Blue Jay Bay

y = 22x + 12

2 People

y = 12(2) + 40

y = 64

y = 22(2) + 12

y = 56

3 People

y = 12(3) + 40

y = 76

y = 22(3) + 12

y = 78

The length of a rectangle is 4 inches more than 3 times its width. The perimeter of the rectangle is 48 inches. What are the length and width of the rectangle?

### Answers

The** length **and width of the **rectangle** is found as 19 inches and 5 inches respectively.

What is defined as the perimeter of rectangle?To calculate the perimeter, or distance all around rectangle, add all four side lengths. This can be done quickly by adding the width and height and then multiplying the total by two because each side length has two lengths. The perimeter formula is perimeter = 2(length + width).

Now, as per the given question;

Let width of a rectangle = w inches

Then, length of a **rectangle **= 3w + 4

Perimeter of a rectangle = 2(length + width)

Substitute the values in the formula of **perimeter**.

48 = 2(3w + 4 + w)

48/2 = 4w + 4

24 = 4w + 4

20 = 4w

w = 5

Thus, the **width** of the rectangle is 5 inches.

Put w = 5 inches in its length.

l = 3w + 4

l = 3×5 + 4

l = 15 + 4

l = 19 inches.

Therefore, the** length** of rectangle is found as 19 inches.

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Find the 8th term of the geometric sequence shown below. 6x,18x^4,54x^7

please help

### Answers

The **8th term** of the g**eometric sequence **is **13122x^22**

Explicit form of a geometric sequence

The explicit form of a **geometric sequence **is expressed according to the equation;

Tn = ar^n-1

where

r is the **common ratio**

a is the fi**rst term**

n is the **number of terms**

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

a = 6x

n = 8

**Substitute** to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = **13122x^22**

Hence the **8th term** of the g**eometric sequence **is **13122x^22**

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Tulong bukas na deadlinee plss

### Answers

**Answer:**

I don't know it like off