A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?

Answer:

The correct answer is Option 3: 12y

Step-by-step explanation:

A polynomial term is usually made of a variable and a co-efficient.

Like terms are those terms that have the same variables i.e. x and 44x are like terms.

Given expression is:

[tex]6y-2y+8y[/tex]

All the terms have only y which means that all three terms are alike.

The coefficients of like terms are added or subtracted according to their sign.

[tex]6y-2y+8y[/tex] = 12y

Hence,

The correct answer is Option 3: 12y

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

Answer:

i think the answer is C, (-1 + 21) (i + 5i)

Step-by-step explanation:

i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!

The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is, (–1 + i) + (21 + 5i)

We have to find the expression that demonstrates the use of the commutative property of addition

According to the commutative property of addition, altering the order of addends has no impact on the sum.

Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ6

Answer:

8%

Step-by-step explanation:

Step-by-step explanation:

We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°

To find y we know that the sum of interior angles of a triangle is 180°

y+109°+33°=180°

y+142°=180°

y=38°

Now,

x+38°+z=180

33+38+z=180

z=180-71=109°

Answer:

For figure 1:

Area of rectangle = 7x + 21

For figure 2:

Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Step-by-step explanation:

We need to find area of rectangle

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

For figure 1:

Length = 7

Width = x+3

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]

So, area of rectangle = 7x + 21

For figure 2:

Length = p

Width = p-9

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]

So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Answer:

ok

Step-by-step explanation:

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis: all three brands are equally likely to their expected value

The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.

The expected frequency = [tex]f_e[/tex]  

The observed frequency = [tex]f_o[/tex]

[tex]f_e[/tex]                    [tex]f_o[/tex]                      [tex](f_o- f_e)^2[/tex]                       [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]

37                   30                       49.00                        1.633

21                    30                        81.00                        2.700

32                   30                         4.00                         0.133

                                                                [tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]

Degree of freedom = [tex](n-1)[/tex]

= 3 -1

= 2

At ∝ = 0.05 and df = 2

The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]

Decision rule:

Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.

Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.

Answer:

yes

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

you have to multiply 2/3 by 27 km

Answer:

5:6, 20:24, 30:36

Step-by-step explanation:

Answer:

70 mins

Step-by-step explanation:

Lets first convert the 4.5 hours to minutes. We know that there's 60 mins in an hour, so we can just multiply 4.5 by 60 to get 270 minutes. Now we know the total time spent at the mall.

Then, we can add the times given in the question.

130 mins + 70 mins + walking mins = 270 mins

To solve, simply collect like terms:

200 mins + walking mins = 270 mins

walking mins = 270 mins - 200 mins

walking mins = 70 mins

Answer:

1. 22

2. 12

3. Sorry, I'm unable to solve for 3.

4. 5

Step-by-step explanation:

AB is congruent to AD so let's solve the equation:

[tex] \: \: \: \: \: \: \: \: \: \: \: 8x - 2 = 6x + 4 \\ \frac{ - 6x \: \: \: \: \: \: \: \: \: \: \: = - 6x}{2x - 2 = 4} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 2 = + 2}{ \frac{2x}{2} = \frac{6}{2} } \\ x = 3[/tex]

☆Now we plug in for AD.

[tex]AD \\ 6x + 4 \\ 6(3) + 4 \\ 18 + 4 \\ 22[/tex]

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

m<CED is on a right angle, that angle equal 90 degrees.

[tex]7x + 6 = 90 \\ \frac{ \: \: \: \: \: \: - 6 = - 6}{ \frac{7x}{7} = \frac{84}{7} } \\ x = 12[/tex]

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#4. You can do the Pythagorean theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {4}^{2} + {3}^{2} = {c}^{2} \\ {16} + 9 = {c}^{2} \\ \sqrt{25} = {c}^{2} \\ 5 = c[/tex]

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

Answer:

X = -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

CCCCCCCCCCCCCCCCCCCCCCCCC

Answer:Data is organized in equal intervals.

Step-by-step explanation:

Answer: 3

Step-by-step explanation: Hope I helped

Answer:

In 25 years, Tina will have $354,452.86

Step-by-step explanation:

Monthly Contribution - $366.69 (Tina & Employer)

Length of Time in Years - 25

Estimated Interest Rate - 8.1%

Compound Frequency - Monthly

Answer:

A

Step-by-step explanation:

Multiply:

[tex](\frac{5}{5+\sqrt{10x} } )(\frac{5+\sqrt{10x} }{5+\sqrt{10x} } )[/tex]

Simplify:

[tex]\frac{5(5-\sqrt{10x}) }{(5+\sqrt{10x})(5-\sqrt{10x} ) }[/tex]

Factor:

[tex]\frac{5(5-\sqrt{10x}) }{25-10x}[/tex]

Reduce:

[tex]\frac{5(5-\sqrt{10x}) }{5(5-2x)}[/tex]

Solution:

[tex]\frac{5-\sqrt{10x} }{5-2x}[/tex]

Answer:

-34

Step-by-step explanation:

Answer:

The answer is  34

Step-by-step explanation:

i was following the order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

so i did 6x2 which got me to 12 and then I added 10 which gave me 22, and then lastly i subtracted 56-22 which gave me 34.

~Hope this explanation has helped you, have a great day/ night!~

Answer:

[tex] \huge \boxed{x = \frac{2}{3} y}[/tex]

Answer:

Step-by-step explanation:

a)4.67

b) 2.27

do you not have a calculator?   :/

Answer:

a. $2.2

b. $2.2

Step-by-step explanation:

Not completely sure if it's right for part b, but 100% sure my answer for part a is right.

Hey there! I'm happy to help!

Here's José's equation.

J=2a+15

And here is Nancy's.

N=3a+5

We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!

2a+15=3a+5

Subtract 15 from both sides.

2a=3a-10

Subtract 3a from both sides.

-a=-10

Divide both sides by -1.

a=10

Therefore, José and Nancy charge the same amount for 10 animals.

Have a wonderful day! :D

Answer:

32 and 24 are not coprime numbers.