The price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per
meter.
The table compares the total distance of a trip (in meters) and the price of the trip (in dollars).
Distance (meters)
80
110
140
How far can you climb for $131?

The value of f(9) is 13

The function f(x) = x + 4

The function g(x) = 3x / x+1

The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input  and output.

The function

f(x) = x + 4

We have to find the value of f(9)

We have to substitute the value of x = 9 in the function

f(9) = 9 + 4

Add the terms

f(9) = 13

Hence, the value of f(9) is 13

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Answer: The answer to this question is $90.

Step-by-step explanation:

The Simple interest is $90.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.

Given:

P= 1500

R = 12%

T= 6 month = 1/2 year

Using, formula of Simple Interest

I = P x R x T /100

I = 1500 x 12 x 1/ 2x100

I = 18000/200

I = 90

Hence, the interest is $90.

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The division of the given polynomial is [tex]13q - 9 + \frac{8}{q+7}[/tex].

What is the quotient of polynomials?

Any quotient of polynomials a(x)/b(x) can be expressed as q(x)+r(x)/b(x), where r(x) is a real number and b is a real number (x). For instance, x-2+3 can be used to represent (x2-3x+5)/(x-1) (x-1).

We have,

              [tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]

By dividing,

           [tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)} / \frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]

                  [tex]= 13q + \frac{-9q - 55)}{ (q + 7)}[/tex]

                   [tex]\frac{-9q - 55}{q+7} / \frac{-9q - 55}{q+7}[/tex]

                   [tex]= 13q - 9 + \frac{8}{q+7}[/tex]

Hence, the division of the given polynomial is  [tex]13q - 9 + \frac{8}{q+7}[/tex].

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Answer:

x = 55

y = 20

Step-by-step explanation:

Angles on a straight line sum to 180°.

Finding x

⇒ 75° + (2x - 5)° = 180°

⇒ 75 + 2x - 5 = 180

⇒ 2x + 70 = 180

⇒ 2x + 70 - 70 = 180 - 70

⇒ 2x = 110

⇒ 2x ÷ 2 = 110 ÷ 2

⇒ x = 55

Finding y

⇒ 75° + (4y + 25)° = 180°

⇒ 75 + 4y + 25 = 180

⇒ 4y + 100 = 180

⇒ 4y + 100 - 100 = 180 - 100

⇒ 4y = 80

⇒ 4y ÷ 4 = 80 ÷ 4

⇒ y = 20

Nice work on selecting "invalid" as the correct answer.

The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.

The venn diagram would either be (A) or (D).

The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.

Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.

It will take 7 days for Claire to sell as many candy bars as Ayden

Claire has sold 8 candy bars and sells 5 more each day

The first term = 8

Common difference = 5

nth term is = a+(n-1)d

= 8 +(n-1)5

= 8 + 5n - 5

= 3 +5n

Ayden has sold 20 candy bars and sells 3 more each day

The first term = 20

Common difference = 3

nth term = a+(n-1) d

= 20 +(n-1)3

= 20 + 3n -3

= 17 + 3n

Then,

3 + 5n = 17 + 3n

5n - 3n = 17 - 3

2n = 14

n = 14/2

n = 7

Hence, it will take 7 days for Claire to sell as many candy bars as Ayden

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Answer:

224 in²

Step-by-step explanation:

The formula for the area of a triangle is 0.5bh, where b is the base and h is the height. Here the base is '4t' and the height is '7t'. Subbing in 4 for t, we get

Base = 4(4) = 16

Height = 7(4) = 28

Subbing this values into our formula for the area of a triangle, and we have:

Area = 0.5(16)(28) = 224 in²

Answer:

$3

Step-by-step explanation:

Total of all = $19.50

3 Card holders total = $7.50

4 Baseball card total = ?

We know that 19.50 is the sum of the holders and cards together so we subtract $7.50 from $ 19.50.

$19.50-$7.50=$12 for ALL four baseball cards

We know that 4 baseball cards are $12, but if we DIVIDE 12 by four, we get the individual price per card.

12/4 = $3

The inequality that describes this situation is f ≥ 5

How to calculate the inequality ?

Use the steps below to solve an inequality:

Step 1: Subtract all fractions by multiplying each term by the sum of all fractions' least common denominators.

Step 2: Simplify the inequality by merging like terms on each side.

Step 3: Add or subtract amounts to get the unknown and the numbers on either side.

As per the question it tells the High- fiber should have at least 5g of fiber per serving

f = Number of grams of fiber per serving of high-fiber food

∴ f ≥ 5

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You can afford a car at a price of 13,016.79

What is the monthly payment formula?

The monthly payments are given by the equation presented as follows:

[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]

where R = r / 12

P is the initial amount , r is the interest rate , n is the number of payments.

Given data ,

A = $ 350

R = 6 %

r = 6 / 12 %

 = 0.5 %

 = 0.005

n = 5 years

  = 5 x 12 months

  = 60

Therefore , the maximum value of the car is calculated as

[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]

[tex]250=P\frac{0.005(1+0.005)^{60} }{(1+0.005)^{60}-1 }[/tex]

[tex]250=P\frac{0.0067}{1.3488501-1}[/tex]

[tex]P = \frac{250*0.348850}{0.0067}[/tex]

[tex]P=\frac{87.2125}{0.0067}[/tex]

P = 13016.79

Hence , you can afford a car at a price of 13,016.79

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The solution set for the inequality is (-3, 3)

Here we have the absolute value inequality

|2x| - 6  < 0

To solve this, we need to isolate the variable, which in this case is x.

Adding 6 in both sides we get:

|2x| -6 + 6 < 0 + 6

|2x| < 6

This can be decomposed in the inequality:

-6 < 2x < 6

Now to competely solve the inequality, we will divide both sides by 2, so we get:

-6/2 < 2x/2 < 6/2

-3 < x < 3

So the solution set is (-3, 3)

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Answer:

I will help you okay????

The number of children in the school who speak a language other than English at home is 144.

The fraction of children who speak Polish is 1/6.

Percentage is the ratio of a quantity expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.

Number of children in the school who speak a language other than English at home = Percentage of the students who speak a language other than English x number of children

Number of children in the school who speak a language other than English at home = 45% x 320

Number of children in the school who speak a language other than English at home = 0.45 x 320 = 144

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

Fraction of the students who speak Polish = number of students that speak Polish / total number of students who speak a language other than English.

Fraction of the students who speak Polish = 24 / 144 = 1/6.

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Answer:

log4 (70)

Step-by-step explanation:

log4(7) + log4(10) = log4(7 * 10 ) = log4(70)

The Algebraic Equation is correct

What is Algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Two times a certain quantity

When a number is divided by two, ten is subtracted: 2x-9

The equal sign is a result.

The number and its sum equals 7+x.

Put everything together (except for the first 2x, that was used to find the second part).

2x-9=7+x

Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.

2x-9=7+x

x-9=7

The -9 must now be positioned on the other side of the equal sign.

x = 7 + 9

x=16

Connect the 16 to the original equation to make sure you're doing it correctly.

2(16)-9=7+(16)

32-9=7+16

23=23

It is accurate.

Hence, The algebraic equation is correct

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Answer:

$35

Step-by-step explanation:

All you have to do is subtract 10 from 45 because it was $10 off and the original price was $45.

Answer:

yes

Step-by-step explanation:

The width of a rectangle is (7x+y) meters.

What is the area of a rectangle?

A flat surface of a specific shape can be thought of as the area it occupies in space. In terms of the "number of" square units, it is measured (square centimeters, square inches, square feet, etc.) The number of unit squares that can fit inside a rectangle is the area of that shape. The flat surfaces of laptop monitors, chalkboards, canvases, and other objects are a few instances of rectangular shapes.

Area of the rectangle is = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex]) square meter

length of the rectangle is = (x+y) meters

we know, the area of the rectangle= length×width

So, the width of the rectangle = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex])/(x+y) meters

=(7x+y)(x+y)/(x+y) meters

=(7x+y) meters

Hence, The width of a rectangle is (7x+y) meters.

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Answer:

3

Step-by-step explanation:

All the real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) is x = 1 .

In the question ,

it is given that the expression is

(3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)

By using the identity a³ + b³ [tex]=[/tex] (a + b)(a² - ab + b² )

we get ,

[(3x - 27 + 27x - 3)] × [(3x - 27)² - (3x - 27)(27x - 3) + (27x - 3)² ] = 30x - 30

(30x - 30)×[(3(x - 9))² - (3(x - 9) × 3(9x - 1)) + (3(9x - 1))²] = 30x -30

using the identity (a-b)² [tex]=[/tex] a² -ab + b²

(30x - 30) × [9( x² - 18x + 81) - (9(9x² - 82x + 9)) + (9(81x² - 18x + 1)) = 30x-30

9(30x - 30)×[x² - 18x + 81 - 9x² + 82x - 9 + 81x² - 18x + 1] = 30x - 30

270×(x - 1)×[ 73x² + 46x + 73] = 30(x - 1)

taking (x-1) terms to LHS ,
we get

(270 - 30)×(x - 1)[ 73x² + 46x + 73 ] = 0

(240) (x - 1) [ 73x² + 46x + 73 ]  =  0     ....because 270-30 = 240

Dividing both sides by 240

we get ,

(x - 1) [73x² + 46x + 73] = 0

So , either x - 1 = 0    or      73x² + 46x + 73 = 0

on solving 73x² + 46x + 73 = 0

we get the discriminant of 73x² + 46x + 73  a negative number , so it cannot have real root .

hence x -1 = 0

x = 1

Therefore , the only real solution is x = 1 .

The given question is incomplete , the complete question is

Find all real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)   ?

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Answer:

[tex]d=-8[/tex]

Step-by-step explanation:

If the first term of a sequence is [tex]258[/tex] and the second term is [tex]250[/tex], then each successive term in the sequence is [tex]8[/tex] less than the previous term. Therefore, the common difference is [tex]-8[/tex] ( [tex]d=-8[/tex] ).

The formula representing the arithmetic sequence is:

[tex]a_n=-8n+266[/tex]

Therefore:

Term 1: [tex]a_1=-8(1)+266=-8+266=258[/tex]

Term 2: [tex]a_2=-8(2)+266=-16+266=250[/tex]

Term 3: [tex]a_3=-8(3)+266=-24+266=242[/tex]

…

Term 9: [tex]a_9=-8(9)+266=-72+266=194[/tex]

Answer:95

step by step explanation

The original price of the ring is  £250.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, the purchase price of a diamond ring increases by £20 when the rate of VAT is increased from 12% to 20%.

Let the original price of the ring be x, then according to question,

120% of x - 112% of x = 20

1.2x - 1.12x = 20

0.08x = 20

x = 20/0.08

x = 250

Hence, The original price of the ring is  £250.

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Answer:

z = 4

Step-by-step explanation:

7z - 4 = 12 + 3z

1) We want to first move the z values to one side of the equation. This means we would subtract 3z from both sides to move it to the left side. This would give us 4z - 4 = 12.

2) We then want to isolate the z value. This means we want to move the -4 to the right side. We would add 4 to both sides and get 4z = 16.

3) We can then divide both sides by 4 and get the value for z.

This gives us z = 4.

From the given condition of number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

As given in the question,

Let x be the number written on the board.

First student increased the number on board by 12 = x +12

Second student multiply the number on board by 3 = 3x

Required equation as per given condition is:

x +12 = 3x + 2

⇒ 3x -x = 12 -2

⇒ 2x = 10

⇒ x = 10/2

⇒ x= 5

Therefore, for the number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

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The explanation is above

Answer:

THE CORRECT ANSWER IS 1.9824 x 10^7

Step-by-step explanation:

award as brainliest

Answer:

2:20

Step-by-step explanation:

The movie started at 3:00 PM they got there at 2:45. and it took them 25 mins to get there meaning they left at 2:20.