3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45

Answers

Answer 1

Answer:

You ordered 5 tickets for a show on line...

The cost was $5 a ticket Plus a one time ordering fee of $15.

you total cost was $45 ....

Solving for x will determine the cost of one ticket

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a taxi charges $5 a mile plus $15 "pull fee" ...

you ride cost a total of $45 ... x is the number of miles that you got driven

Step-by-step explanation:

Answer 2

You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.

According to the question;

We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.

In essence, x is the no. of miles driven in this scenario.

By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.

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Related Questions

1/a+b + 1/a-b +2b/a^2-b^2 simplify​

Answers

Answer:

[tex]\frac{2}{a-b}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] + [tex]\frac{2b}{a^2-b^2}[/tex] ← a² - b² is a difference of squares

= [tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] = [tex]\frac{2b}{(a-b)(a+b)}[/tex] ← LCD is (a - b)(a+b)

= [tex]\frac{a-b+a+b+2b}{(a-b)(a+b)}[/tex]

= [tex]\frac{2a+2b}{(a-b)(a+b)}[/tex]

= [tex]\frac{2(a+b)}{(a-b)(a+b)}[/tex] ← cancel common factor (a + b) on numerator/ denominator

= [tex]\frac{2}{a-b}[/tex]

I really need this answered!

Answers

Answer:

Its AA similaroty theorem

Function: y= x^2 + 5x - 7
Vertex:
Solutions:
( , ) and
( , )

Answers

Answer:

Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2

Step-by-step explanation:

x^2+5x-7

x^2+5x+(2.5)^2-(2.5)^2-7

(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)

Solution of the functions are x=(-5±sqrt(53))/2

What does the lines mean around the x: |x|

Answers

Answer:

absolute value

Step-by-step explanation:

Answer:

This shows the absolute value of an integer.

Step-by-step explanation:

When you see the lines | | around a number, it should always give you the answer of that number's positive integer. So lets say I out | -2 | the answer for this equation should be 2.

HELP PLS HELPIf the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center are the foci located?

Answers

Answer:

4

Step-by-step explanation:

The distance between the center are  the foci located 8 units.

It is required to find  the focus is c.

What is ellipse?

A closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a constant.

Given that:

The length of the major axis is 2a,  

length of the major axis

2a=10

a=5

The length of the minor axis is 2b.

Length of the minor axis

2b=6

b=3

The distance between the center and either focus is c,

c^{2} =a^{2} -b^{2}

c^{2} =5^{2} -3^{2}

c^{2} =25-9

c=8

So, the distance between the center are  the foci located 8 units.

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Find the inverse of the given function. f(x) = 7x – 4​

Answers

Hi there!

[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]

f(x) = 7x - 4

Rewrite f(x) with y:

y = 7x - 4

Swap the x and y variables:

x = 7y - 4

Solve for y:

x + 4 = 7y

y = (x + 4)/7

Plz explain q22 in detail, and if you could the fastest way to do it.

Answers

Answer:

Hello,

Step-by-step explanation:

30°=π/6 (rad)

[tex]L=\theta*R=\dfrac{\pi}{6} *120\\\\=20*\pi\\\\\approx{20*3=60\ (cm)}[/tex]

PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.

Answers

Answer:

Hello,

p=0.1024

Step-by-step explanation:

The probability is the ratio of the areas of the 2 circles:

[tex]p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024[/tex]

Answer:

64/625.

Step-by-step explanation:

Probability = area of small circle / area of the large one

= 8^2 / 25^2

= 64/625

HELPPPP MEE IM BEING TIMED

Answers

Answer:

4th option

Step-by-step explanation:

The range is the values of y covered by the graph

The lowest value is a solid dot at y = 2, indicating that y can equal 2.

The graph then increases upwards to infinity.

The range is all real numbers greater than or equal to 2

Answer:

all real numbers greater than or equal to 2

Step-by-step explanation:

The range is all the y-values or outputs. That means that the answer is greater than or equal to 2.

I need help, please come answer this

Answers

10

Work:
PEMDAS
8 • 15/5 - (5 + 9)
8 • 3 - 14
24 - 14
10

Answer:

[tex]8 \times \frac{15}{5} - (5 + 9) \\8 \times 3 - (14) \\ 24 - 14 \\ = 10[/tex]

I hope I helped you^_^

Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Answers

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Sample response

What is the simplified equation of 3 divided by the sum of the square root of 8 and the square root of 5?

Answers

Answer:

3/root8+root9

Step-by-step explanation:

3/root8+root9

Evaluate ∫4x cos(2-3x)dx

Answers

Answer:

[tex]{ \sf{ \int 4x \cos(2 - 3x) dx = {4x}^{2} \cos(2 - 3x) + c }}[/tex]

Step-by-step explanation:

From integration by parts:

[tex]{ \boxed{ \bf{ \int u \: \frac{dv}{dx} = uv - \int v \: \frac{du}{dx} }}}[/tex]

let u be cos(2-3x) and let dv/dx be 4x:

[tex]{ \sf{ \frac{du}{dx} = 3 \sin(2 - 3x) }} \\ \\ { \sf{ v = \int 4x = 2 {x}^{2} }}[/tex]

Substitute in formular box:

[tex]{ \sf{ = (2 {x}^{2} \times \cos(2 - 3x)) - \int 2 {x}^{2} .3 \sin(2 - 3x) dx}} \\ = { \sf{2 {x}^{2} ( \cos(2 - 3x) - 3 \int \sin(2 - 3x)dx }} \\ { \sf{ = 2 {x}^{2} ( \cos(2 - 3x) - 3( - \frac{1}{3} \cos(2 - 3x) ) + c}} \\ { \sf{ = {4x}^{2} \cos(2 - 3x) + c}}[/tex]

HELP!!

Resolve into factors:

8 – 6а – 9a^2 + 27a^3​

Answers

[tex]\\ \sf\longmapsto 8-6a-9a^2+27a^3[/tex]

[tex]\\ \sf\longmapsto 27a^30-9a^2-6a+8[/tex]

Take 3a common

[tex]\\ \sf\longmapsto 3a(9a^2-3a-2)+8[/tex]

Hence done

which of the following represents 10 on a number line ​

Answers

Answer:

don't understand....................

Brwntwntenntejetntejeynegnegnwg

A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance at the same speed with the current of the river. What is the speed of the boat and what is the current of the river?

Boat speed: Speed of Current:

Answers

Answer: 7 miles/h and 1 miles/h

Step-by-step explanation:

With the speed of current = x + 1

Against the speed of current = x - 1

ATQ

4(x-1) = 3(x+1)

4x-4 = 3x+3

4x - 3x = 3+4

x = 7

Speed of boat = 7miles/h

Current of river = 1 miles/h

please click thanks and mark brainliest if you like :)

Answer:

Hello,

Boat speed=7 miles/h

Current speed = 1 mile/h

Step-by-step explanation:

I am going to try to explain.

Let say V the speed of the boot (V like vitesse in french)

Let say v the speed of the current.

distance=24 miles

[tex]\left\{\begin{array}{ccc}V-v&=&\dfrac{24}{4} \\V+v&=&\dfrac{24}{3} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}V-v&=&6 \\V+v&=&8 \\\end{array}\right.\\\\Adding\ the\ 2\ equations\ and\ substracting\ them \\\\\\\left\{\begin{array}{ccc}2V&=&14 \\2v&=&2 \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}V&=&7 \\v&=&1 \\\end{array}\right.\\\\[/tex]

Boat speed=7 miles/h

Current speed = 1 mile/h

Which two ratios represent quantities that are proportional? A 25/28 and 5/7 B 22/33 and 14/21 C 16/13 and 13/16 D 48/60 and 35/42​

Answers

Answer:

Step-by-step explanation:

Simplify
1/4(1 - 2/3)* + 1/3
Enter your answer in the box as a fraction in simplest form


Answers

Answer:

5/12

frsjnjjuvvffklomjyyrx

The table shows the steps for solving the given inequality 4-3(x-5)>6x-17

Answers

Step-by-step explanation:

(=) 1 ( x-5 ) > 6x-17

(=) x-5 > 6x -17

(=) -5x > -12

=> x < 12/5

It takes a word processor 22 minutes to word process and spell check 8 pages. Find how long it takes her to word process and spell check 36 pages.

Answers

Answer:

99 minutes

Brainliest, please!

Step-by-step explanation:

22/8 = x/36

11/4 = x/36

36(11)/4 = x

396/4 = x

x = 99

Can someone help me on this math question its confusing ill give brainly when right!!!

Answers

Answer:

it is <

Step-by-step explanation:

3(4p - 2) +3 = 2p - 5
no solution, one solution or infinitely many solutions?

Answers

Answer:

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

12p-6 +3 = 2p-5

10p-3=-5

10p=-2

p=-1/5

There is one solution.

hope this helps!

Answer:

one solution

-0.2

Step-by-step explanation:

3(4p - 2) +3 = 2p - 5         Remove the brackets on the left

12p - 6 + 3 = 2p - 5           Combine

12p  - 3 = 2p -5                  Subtract 2p from both sides

12p - 2p - 3 = -5                Combine

10p - 3 = - 5                       Add 3 to both sides

10p = -5 + 3

10p = - 2                            Divide by 10

p = - 0.2

Which of the following functions is graphed below?
15
10
5
-8 -6 -4 -2 0
2
4 6 8
ch
[x® -3,xs 2
A. y =
1x2 +6, x> 2
O B. y -
[x2 -3.x > 2
1x2 +6, 52
O c. y-{X-3,x<2
1x2 +6, xs 2
x < 2
O D. y =
(x² – 3, x<2
(x2 +6, x2 2

Answers

___________________A

The function that represents the inequality of the given graph is;

Option A

Graph Inequalities

From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.

Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.

Looking at the options, option A is right and we will prove it thus;

for y = x³ - 3

At x = 2, we see that;

y = 2³ - 3

y = 5

This corresponds with the given equation

For the second curve, for y = x² + 6;

At x = 2, we have;

y = 2² + 6

y = 4 + 6

y = 10

This corresponds with what is given and is thus correct.

Thus, option A is the correct answer

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Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)

3
1
-1
5

Answers

Answer:

5

Step-by-step explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.

Please help ASAP !!!☹️

Answers

Answer: quit

Step-by-step explanation:

it’s really easy .

Part C Next, find the length of BC place point F at (4,4) and draw BF and FC now you hav the right ∆BFC with BC as the hypotenuse find BC and FC ising the coordinates of B,C, and,F then use the Pythagorean theorem to find BC show your work need help ASAP giving thanks and points away I just need these answer fast ???

Answers

Answer:

BF = |4 – 1| = 3

FC = |4 – 0| = 4

Using the Pythagorean Theorem to find BC:

BC2  =  BF2 + FC2

BC2   =  32 + 42

BC2   =  9 + 16

BC  =  sqaure root 25

BC  =  5

Step-by-step explanation:

The length of BC is 5 unit.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We need to find the length of BC place point F at (4,4) and draw BF and FC now you have the right ∆BFC with BC as the hypotenuse find BC and FC using the coordinates of B,C, and,F then use the Pythagorean theorem to find BC.

Using the Pythagorean Theorem to find BC:

BC^2  =  BF^2 + FC^2

BC^2   =  32 + 42

BC^2   =  9 + 16

BC  =  √25

BC  =  5

So, BF = |4 – 1| = 3

FC = |4 – 0| = 4

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24 is between what integers

Answers

Answer:

23 and 25

Step-by-step explanation:

Integers are whole numbers that are either positive, negative, or zero. Fractions and decimals are not integers. Therefore, 24 is between 23 and 25.

Answer:

Positive 23 and positive 25

Step-by-step explanation:

What is the radius of one of the circles?

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{2\sqrt{3} }{2}=\sqrt{3}[/tex]

I hope this helps!

pls ❤ and give brainliest pls

Me ajudem
1- a) 5 ( x – 1) = 30
b) 3 (x + 10 ) – 2 ( x – 5 ) = 0

Answers

Answer:

a)7, b)-40

Step-by-step explanation:

a) 5(x-1)=30

=>5x -5=30

=>5x=30+5

=>5x=35

=>x=35/5

so, x=7

b)3(x+10)-2(x-5)=0

=>3x+30-2x+10=0

=>x+40=0

so,x=-40

help?!?!??!!?!?????!​

Answers

Answer:

[tex]n=10[/tex]

Step-by-step explanation:

[tex]\frac{4^8}{(4^2)^-^3}\ / 4^4=4^n[/tex]

Simplify, remember, an exponent raised to the power of another exponent is equal to the product of the two exponents,

[tex]\frac{4^8}{(4^2)^-^3}\ / 4^4=4^n[/tex]

[tex]\frac{4^8}{4^-^6}\ / 4^4=4^n[/tex]

Now bring the term in the denominator (number under the fraction bar) to the numerator (number over the fraction bar). This can be done by multiplying the exponent of the denominator by (-1).

[tex]\frac{4^8}{4^-^6}\ / 4^4=4^n[/tex]

[tex]4^8(4^(^-^1^)^(^-^6^))\ / 4^4=4^n[/tex]

Simplify,

[tex]4^8(4^6)\ / 4^4=4^n[/tex]

Remember, multiplying two numbers of the same base is the same as adding their exponents, apply this property here,

[tex]4^8(4^6)\ / 4^4=4^n[/tex]

[tex]4^1^4\ / 4^4=4^n[/tex]

Dividing two numbers of the same base is the same as subtraction their exponents,

[tex]4^1^4\ / 4^4=4^n[/tex]

[tex]4^1^0=4^n[/tex]

Thus, the following statement can be made,

[tex]4^1^0=4^n[/tex]

[tex]n=10[/tex]

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