Rachel has been told that with her half-off airfare coupon, her airfare will be $251. The $251 includes a 6% tax on the regular fare. on the way to the airport, Rachel realizes that she has lost her coupon. What will her regular fare be?

Answer:

3t > 2c

Step-by-step explanation:

The left side has 3 triangles (therefore 3t) and the right side has 2 circles (therefore 2c).

Since the side with the triangles is heavier than the side with the circles, it is 3t > 2c.

The inequality to represent the relationship of the weights is 3t > 2c.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

let t be the weight of the triangle in grams.

let c be the weight of the circle in grams.

from the figure,

Number of Triangle = 3

Number of Circle= 2

So, weight of triangle = 3t and weight of circle = 2c

Since the weight of triangle is greater than weight of circle.

Thus, the inequality is 3t> 2c.

Learn more about Inequality here:

https://brainly.com/question/30231190

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Step-by-step explanation:

√1 = 1, √2 = 1.414213562, √3 = 1.732050808, √4 = 2, √8 = 2.828427125 Step#2: Add up = 8.974691495

Answer:

x=45

Step-by-step explanation:

180-90=90÷2=45

Answer:

(A) f(x) = 2 * [tex]4^{t}[/tex]

Step-by-step explanation:

[] We can find our answer by plugging the x values into the functions as t and solving.

-. Using this method, starting with the A function, we find that the first function models the data and we do not need to test the others. I still have shown the work for the others as it is good to check your work.

[✓] f(x) = 2 * [tex]4^{t}[/tex]

(1, 8) }{}{}{ f(x) = 2 * [tex]4^{1}[/tex] = 2 * 4 = 8

(2, 32) }{}{}{ f(x) = 2 * [tex]4^{2}[/tex] = 2 * 16 = 32

(3, 128) }{}{}{ f(x) = 2 * [tex]4^{3}[/tex] = 2 * 64 = 128

-> This pattern continues

[✗] f(x) =  [tex]4^{t}[/tex]

(1, 8) }{}{}{ f(x) = [tex]4^{1}[/tex]  = 4 ≠ 8

-> This function does not model the data as it does not fulfil the first point

[✗]  f(x) = 4 * [tex]2^{t}[/tex]

(1, 8) }{}{}{ f(x) =  4 * [tex]2^{1}[/tex] = 4 * 2 = 8

(2, 32) }{}{}{ f(x) =  4 * [tex]2^{2}[/tex] = 4 * 4 = 16 ≠ 32

-> This function only models (1, 8) but does not fully model the data

[✗] f(x) =  [tex]8^{t}[/tex]

(1, 8) }{}{}{ f(x) =  [tex]8^{1}[/tex] = 8

(2, 32) }{}{}{ f(x) =    [tex]8^{2}[/tex] = 64 ≠ 32

-> This function only models (1, 8) but does not fully model the data

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

c = -4

Step-by-step explanation:

If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.

10 = 2(2^3) - 2 + c    Now, we only have to deal with one variable, that is c.

10 = 2(8) - 2 + c

10 = 16 - 2 + c

10 = 14 + c

-4 = c    After simplifying, we get that c is -4.

To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!

f(2) = 2(2^3) - 2 - 4

f(2) = 2(8) - 2 - 4

f(2) = 16 - 2 - 4

f(2) = 10

[tex]\\ \tt\hookrightarrow 2x^3-x+c=10[/tex]

[tex]\\ \tt\hookrightarrow 2(2)^3-2+c=10[/tex]

[tex]\\ \tt\hookrightarrow 2(8)-2+c=10[/tex]

[tex]\\ \tt\hookrightarrow 16-2+c=10[/tex]

[tex]\\ \tt\hookrightarrow 14+c=10[/tex]

[tex]\\ \tt\hookrightarrow c=-4[/tex]

Answer:

-2, 54, 110

Step-by-step explanation:

When x = 0:

[tex]y + 2 = 14(0)[/tex]

[tex]y + 2 = 0[/tex]

Subtract 2 from both sides:

[tex]y = - 2[/tex]

When x = 4:

[tex]y + 2 = 14(4)[/tex]

[tex]y + 2 = 56[/tex]

Subtract 2 from both sides:

[tex]y = 54[/tex]

When x = 8:

[tex]y + 2 = 14(8)[/tex]

[tex]y + 2 = 112[/tex]

Subtract 2 from both sides:

[tex]y = 110[/tex]

Answer:

the answer would be D) undefined

Step-by-step explanation:

above is what the graph should look like and in that graph there is no slope.

the fiest answer is x=6 for the second one the answer is x=4

Step-by-step explanation:

x+15/5x+1 =15/35 then cross multiply

1st one

Answer:

x = 6 , x = 4

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides then divides those sides proportionally, that is

[tex]\frac{x}{18}[/tex] = [tex]\frac{28-21}{21}[/tex] = [tex]\frac{7}{21}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3x = 18 ( divide both sides by 3 )

x = 6

(14)

[tex]\frac{x+5}{15}[/tex] = [tex]\frac{5x+1}{35}[/tex] ( cross- multiply )

15(5x + 1) = 35(x + 5) ← distribute parenthesis on both sides

75x + 15 = 35x + 175 ( subtract 35x from both sides )

40x + 15 = 175 ( subtract 15 from both sides )

40x = 160 ( divide both sides by 40 )

x = 4

Answer: 12

Step-by-step explanation:

Orange, paper

O, Plastic

O, M

O, C

V, paper

V, Plastic

V, metal

v, cardboard

RB, PAPER

RB, PLASTIC

RB, METAL

RB, CARDBOARD

Answer: False, it's not a solution

================================================

Explanation:

Replace every copy of c with 12. Then simplify.

4c - 2 > 46

4*12 - 2 > 46

48 - 2 > 46

46 > 46 ... false

The statement is false because there isn't a number that's larger than itself (or smaller than itself).

Since the last statement is false, this means the first inequality is false when c = 12.

Therefore, c = 12 is not a solution.

------------------

Another approach:

Let's isolate c in the original inequality.

4c - 2 > 46

4c > 46+2

4c > 48

c > 48/4

c > 12

The solution set consists of numbers larger than 12. We leave 12 itself out of the solution set.

This is because c > 12 would be 12 > 12 which is false.

Think about what the question is asking...  When does that cost reach 0?

[tex]f(x) =4500 -120x + 60x \\[/tex]

Solve for when f(x) = 0

[tex]0 = 4500 - 60 x \\-4500 = -60x\\4500 = 60x \\4500/60 = x\\x = 75[/tex]

The store breaks even when it sells 75 bikes.

Hope this helps!

:)

Answer:

rate of change is -3

A = (9 - 0) / (0 - 3) = 9 / -3 = -3

Step-by-step explanation:

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$500\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &5 \end{cases} \\\\\\ 500=P(0.04)(5)\implies \cfrac{500}{(0.04)(5)}=P\implies 2500=P[/tex]

The amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.

By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Mathematically, simple interest is

I = Prt,

where I represents the simple interest on an amount of money, P, for t years at r rate.

Now it is given that,

Simple interest, I = $500

Interest Rate, r =  4% = 0.04

Time, t = 5 years

Since, Simple interest, I = Prt

⇒ P = I/rt

⇒ P = 500/(0.04*5)

⇒ P = 500/0.20

⇒ P = $2500

which is the required Principle amount.

Thus, the amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.

To learn more about simple interest:

brainly.com/question/11531683

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Answer:

-15625

Step-by-step explanation:

Import this equation onto Symbolab and It will show you all the steps for free.

Answer:

23 units

Step-by-step explanation:

root 149

Step-by-step explanation:

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation: divide each of them by 2 because y = 1/2 of x

not sure this is correct this is just what I think it is.

Answer:

x=0

Step-by-step explanation:

[tex]2(x+3)-4(x-1)=10\\\\2x+6-4x+4=10\\\\-2x+10=10\\\\-2x=10-10\\\\x=0/-2\\x=0[/tex]

Answer:

x² +4x

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given: base= 2x, height= x +4

Area of triangle

= ½(2x)(x +4)

= x(x +4)

= x(x) +x(4) (expand)

= x² +4x

Answer:

1:eight hundred and twenty one

2:three hundred and fifty

3:six hundred and four

4:nine hundred and five

hope it helps...pls mark brainlest

Answer:

[tex]-5\leq x\leq 3[/tex]

Step-by-step explanation:

The reason is that if you count each line on the graph you see that it starts at -5 and ends at 3.

(Hint: each line on the graph is incrementing by 1)

Hope this helps! :)

Please mark as brainiest if this worked or ask me a question if you do not understand :)

Speed = Distance /  time

Speed = 540 km / 6 hours

Speed = 90 km/hr.

Answer:

The ratio is 11:8

Step-by-step explanation:

There's 11 trees in Jeans yard hence the first number of the ratio (11)

While Anita has 8, hence the second number in the ratio (8)

Therefore the ration of Jean's trees to Anita's is 11:8

Answer:

Second option

Step-by-step explanation:

Given the following equation:

[tex]\frac{p-4.6}{5.7} =\frac{6.1}{2}[/tex]

In order to find the answer, we have to simplify and isolate the variable, then add the decimals to solve for p.

[tex]\frac{p-4.6}{5.7} =\frac{6.1}{2}[/tex]
[tex]\frac{5.7(p-4.6)}{5.7} =\frac{6.1\times 5.7}{2}[/tex]
[tex]p-4.6=17.385[/tex]
[tex]p-4.6+4.6=17.385+4.6[/tex]
[tex]17.385+4.6=21.985[/tex]
[tex]p=21.985[/tex]

Hope this helps.

Answer:

p = 21.985 for K12

Answer:

x=22, y=45

Step-by-step explanation:

y=45 by definition (180-90)/2

180 = 46 + 2x

x = 22

Check the picture below.

we know that the arcST is 30°, meaning the inscribed angle intercepting it will be half that or 15°.

in the triangle RWT, two sides of it are RT and RW, both of which are radius segments and thus equal, meaning that triangle RWT is an isosceles, and in an isosceles the twin sides also make twin angles, meaning that ∡RTW is a twin of the inscribed angle ∡RWT.

$4.35 is the answer to the question.

Answer:

2.85/per cone

4.35/per sundae

Step-by-step explanation:

5 ice cream cones

3 sundaes

27.30 - 14.25 = 13.05

13.05 divided by 3 = 4.35/per sundae

14.25 divided by 5 = 2.85/ per cone

Step-by-step explanation:

side = 5 yards

area = side × side = 5 yd × 5 yd = 25 yd²

side = 6 yards

area = side × side = 6 yd × 6 yd = 36 yd²

side = 7 yards

area = side × side = 7 yd × 7 yd = 49 yd²

Answer:

0

Step-by-step explanation:

The square root of 0 is 0.

0 + 3 = 3

Answer:

These answers are not very easy