Mackenzie is deciding between two parking garages. Garage A charges an initial fee of $12 to park plus $5 per hour. Garage B charges an initial fee of $6 to park plus $6 per hour. Let A represent the amount Garage A would charge if Mackenzie parks fort hours, and let B represent the amount Garage B would charge if Mackenzie parks for t hours. Write an equation for each situation, in terms of t, and determine the hours parked, t, that would make the cost of each garage the same

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )

m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

Answer:

x = (-3+√15)/2 or, x = (-3-√15)/2

Step-by-step explanation:

2x²+6x-3=0

Standard quadratic formula,

ax²+bx+c = 0

where,

x =(-b±[tex]\sqrt{b^{2}-4ac }[/tex])/2a       ...............................(i)

Here,

a = 2

b = 6

c = -3

Putting the values in equation(i), we get,

x = (-6±[tex]\sqrt{6^{2} -4.2.(-3)}[/tex])/2.2

=(-6 ± √60)/4

=(-6 ± 2√15)/4

= (-3 ± √15)/2

Therefore, x = (-3+√15)/2 or x = (-3-√15)/2 :)

Answer:

C. An enzyme that links complementary base pairs to the parent strand.

Step-by-step explanation:

The primary enzyme involved in this is DNA polymerase which joins nucleotides to synthesize the new complementary strand. DNA polymerase also proofreads each new DNA strand to make sure that there are no errors.

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Answer:

x = 10

Step-by-step explanation:

Given h(x) = 2x - 14 and h(x) = 6, then equating

2x - 14 = 6 ( add 14 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Answer:

He could drive 52.006 miles

Step-by-step explanation:

8 x 3 = 24 for should be 24

Only because 8 times larger than three seems like a multiplication problem..

I hope this helps if it is correct!

Answer:

(8+1) x 3 = 27

Step-by-step explanation:

this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.

Answer:

28roses 70carnations

Step-by-step explanation:

4+6+8+10=28

10+15+20+25=70

Maybe i think

Answer:

∠ 1 and ∠2

Step-by-step explanation:

Adjacent angles share a common ray or side between them, and have the same vertex.  

Therefore, the adjacent angles from the given image are: ∠ 1 and ∠2.

The other given options are not adjacent angles because they do not have the same common vertex and ray.  

Answer:

its letter A E D C

Step-by-step explanation:

correct me im wrong

Answer:

10 or 25

Step-by-step explanation:

25 is a factor of 50

Answer:

the four is product of -

2×2= 4

2 is a prime number.

it this only prime number which product is 4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

f(x)=2x²

s(x)=2(x-3)

Plugging in the numbers, we get:

f(2)= 2 * (2)²

f(2)= 2*4

f(2)= 8

s(-1)= 2*(-1-3)

s(-1)= 2*(-4)

s(-1)= -8

f(2) + s(-1) = 8 - 8 = 0

Answer:

- 1 2/6 - 1/6

- 1 3/6

-1 1/2

Step-by-step explanation:

Step-by-step explanation:

[tex] = - 1 \frac{1}{3} - \frac{1}{6} [/tex]

[tex] = - 1 + ( - \frac{1}{3} - \frac{1}{6} )[/tex]

[tex] = - 1 + ( - \frac{2}{6} - \frac{1}{6} )[/tex]

[tex] = - 1 - \frac{3}{6} [/tex]

[tex] = - 1 \frac{1}{2} [/tex]

Option → B

Answer:

( 2 − 3 ) ( − 1 )

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is ~

[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the slope of given line ~

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

here, m = slope ~

I hope it helps ~

Answer:

[tex]18 {m}^{2} [/tex]

Step-by-step explanation:

[tex]area \: = 6m \times 4m \\ = 24 {m}^{2} \\ \\ grass \: area = 3m \times 2m \\ = 6 {m}^{2} \\ \\ cement \: area \: = 24 {m}^{2} - 6 {m}^{2} \\ = 18 {m}^{2} [/tex]

Answer:

18 m^2

Step by step explanation:

In these types of math problems, we have two ways to solve.

1) Directly find the area of the shaded area.

2)Find the unshaded area and then minus that from the total area.

In this case, I will use the second way.

The grass area (unshaded) is 3 x 2 = 6 m^2 ( 6 square meters )

The total area (grass + cement) is 4 x 6 = 24 m^2 ( 24 square meters )

Now, we want the area of the cement part but the grass's area is also in the total.

So, we minus 6m^2 from 24m^2.

Then we get 18m^2.

And that is the answer.

I hope it helps.

(Note : because this problem is easy, you can use both ways but most use the second way. There may also be problems where we can use only the first or second way.)

Answer:

A

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

scale factor = [tex]\frac{Q'R'}{QR}[/tex] = [tex]\frac{6}{2}[/tex] = 3 → A

Sal can make 10 bracelets

The given question requires the expansion of the expressions within the bracket to the stated power. This would give an answer that is equal to -64.

This expansion requires the substitution of the given values, a and b, into the expression in the bracket. Then expanding the determined answer to the stated power.

Here, subtract the value of b from that of a, then expand the answer to the power of 3.

Thus:

[tex](a - b)^{3}[/tex]

Given that; a = 3, and b = 7, then we have:

[tex](a - b)^{3}[/tex] = [tex](3 - 7)^{3}[/tex]

           = [tex](-4)^{3}[/tex]

           = -4 * -4 * -4

           = -64

Therefore with the given conditions in the question, we have:

       [tex](3 - 7)^{3}[/tex]  = -64

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Answer:

y + 4 = 4(x - 2)

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Where m = slope and (x1 , x2) = any given point.

We are given that the equation has a slope of 4 and passes through the point (2,-4)

So m = 4 and (x1,y2) = (2,-4)

We then plug in these values into the point slope form equation to get the answer.

y - y1 = m(x - x1)

m = 4 and (x1,y1) = (2,-4)

plug in values

y - (-4) = 4(x-2)

remove parenthesis on "-4" and change sign because the two negative signs cancel out and change into a positive sign

We end up with y + 4 = 4(x-2)

Step-by-step explanation:

Let,

The number of boys be = x

So,

Number of the girls = 3 × x

= 3x

Therefore,

Ratio of number of girls to number of boys in school will be,

[tex] = \frac{number \: of \: girls \: in \: school}{number \: of \: boys \: in \: school} [/tex]

[tex] = \frac{3x}{x} [/tex]

[tex] = \frac{3}{1} [/tex]

= 3:1 (Ans)

Answer:

[tex]5\times10^3[/tex]

Step-by-step explanation:

[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]

Exponents are positive:

[tex]3.5.5.0.0.0.0. = 3550000[/tex]

[tex]7.1.0.=710[/tex]

[tex]3550000 \div 710 = 5000[/tex]

Convert back into scientific notation:

[tex]5000 = 5 \times 10^3[/tex]

[tex]= 5 \times10^3[/tex]

Hope this helps.

Answer: 5 x 10^3

Step-by-step explanation:

Answer:

First is, second is not.

Step-by-step explanation:

Start plugging them!

[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]

First one is true, so the pair is a solution.

Second is false, (4 is obviously bigger!) so it's not a solution.

If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay

Answer:

Yes.  $21, 165

Step-by-step explanation:

since 385 is greater than 249. as long as theres more than 249

249 x 85 = 21,165

Answer:

No because they only charge 249 unless they hack there bank account........anything is possible.

Step-by-step explanation:

Answer:

One pound of chicken serves 3 people. Each person gets 1/3 pounds

12/36=1/3

22/66=1/3

Hope this helps.

Answer:

35 5/27

Step-by-step explanation:

You just have to set up an equation:

0.9/95 = 1/x

And if you cross-multiply, you get:

0.9x=95

Which means x is 95/0.9 which is 105 5/9. So, if all three t-shirts costed 105 5/9, and they all costed the same, then one t-shirt costs 35 5/27.

Answer:

3/5x - 8

Step-by-step explanation:

4/5x + (-2) + (-6) - 1/5x

4/5x - 1/5x = 3/5x

(-2) + (-6) = -8

3/5x - 8 is the answer

thats what i got

Answer:

3 blocks a minute

Step-by-step explanation:

so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute