Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school

Answer:

3(x - 2)² - 17

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square.

Given

3x² - 12x - 5 ← factor out 3 from the first 2 terms

= 3(x² - 4x) - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

= 3(x² + 2(- 2)x + 4 - 4 ) - 5

= 3(x - 2)² - 12 - 5

= 3(x - 2)² - 17 ← in vertex form

Answer:

The LCM of 10 and 12 is 60

Step-by-step explanation:

Hope this helped! :)

Answer:

i think its 60

Step-by-step explanation:

Answer:

320 minutes was her time on the previous race

Step-by-step explanation:

Let the time spent on the previous race be x minutes.

Given that at her most recent race, Sue finished in 272 minutes which is 15% less time than the previous race then

x - 15% * x = 272

x - 0.15x = 272

0.85x = 272

x = 272/0.85

x = 320 minutes

Answer:

The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.

Step-by-step explanation:

As given,

Mary ate cherries = x pound

And

Leslie ate [tex]\frac{6}{9}[/tex] more.

⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex]  ) pound.

Answer:

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room

Length and breadth

Let the length and breadth be l + 2 and l

Now,

[tex] \large \sf \: Area = l + 2 \times l [/tex]

[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]

[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]

[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]

[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]

[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]

Either

[tex] \large \sf \: l = - 9[/tex]

or,

[tex] \large \sf \: l = 7[/tex]

Length can't be negative,

So,

L = 9

B = 7

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Answer:

32%

Step-by-step explanation:

To find the percentage, we have to multiply 25 and 8 by 4.

25x4 = 100

8x4 = 32

So, 8 out of 25 is 32%.

Answer:

The answer is $0.65, or 65 cents.

Answer:

$.65

Step-by-step explanation:

so 65 cents

Answer:

C: √37 - √26

Step-by-step explanation:

√37 = 6.083

√26 = 5.1

6.083 - 5.1 = 0.983

Answer:

C

Step-by-step explanation:

The  expression  1/2b -15 is equivalent to, 1/2(b-30), So option C is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,  1/2b -15

The expressions are equivalent = ?

So now, we can take 1/2 common from the expressions

⇒    1/2b -15(2/2)

⇒   1/2(b -15×2)

⇒   1/2(b - 30)  

Hence, the equivalent expression is,  1/2(b - 30)  

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Answer: Multiply 7.5% by the price after subtracting the coupon's value.

Step-by-step explanation:

Let's assume that the cost of the shirts is x. So the coupon would subtract y from x so that's x-y which gives us z. Then to find z, on a calculator just put in 7.5% x z. I used variables since I don't know the value of the coupon or the original price of the shirts.

Answer:

Step-by-step equation:

15% of 60 is nine.

Percentage is equivalent to the portion of a quantity present in the whole. The portion of each person’s tip amount shared by Sara and 3 of her friends is $2.65.

A percentage is a value that indicates 100th part of any quantity.

To convert percentage into a fraction it is divided by 100.

Given that,

The amount of tip is 15% of the total amount A.

The total amount of 4 lunches = $60.

As per the question, the total amount can be written as,

15% of A = A - 60

=> 15 / 100 × A = A - 60  

=> A - (3 / 20) × A = 60

=> A - (3 / 20) × A = 60

=> (17 / 20) × A = 60

=> A = (60 × 20) / 17

=> A = 70.58

Now, the total amount of tip is,

15% of 70.58

(15 / 100) × 70.58 = 10.58

The tip shared by each friend = 10.58 ÷ 4

                                                 = 2.65

Hence, the portion of each person’s tip amount is $2.65.

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Answer:

44.19

Step-by-step explanation:

419*0.09=44.19

Answer:

The solution is -3.

The graph is attached.

Step-by-step explanation:

To solve, first subtract 2 from both sides to get [tex]5q\geq -15[/tex]. Now divide 5 from both sides to get [tex]q\geq -3[/tex].

The graph representing this is attached.

Hope it helps and is correct!

Answer:

41 dollars

Step-by-step explanation:

3r+2.5p is the cost of roses and petunias, just  number of roses as r and petunias as p:

3(7) + 2.5(8)=

21+20=41 dollars

Answer: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

The exponential model for growth is given by :-

[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]

hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

subtract the value by placing it in the right side and multiply with 4.

Answer:

237

Step-by-step explanation:

The area of the regular octagon is 237 cm^2

The given parameters are:

Apothem (a) = 8.45

Side length (s) = 7

Number of sides (n) = 8

The area of the regular octagon is then calculated as:

A = 0.5 * a * n * s

This gives

A = 0.5 * 8.45 * 8 * 7

Evaluate the product

A = 236.6

Approximate

A = 237

Hence, the area of the regular octagon is 237 cm^2

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Answer:

60

Step-by-step explanation:

60

The average speed of the train was 80mph.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, Given that, Station A and Station B are 120 miles apart.

And, a train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes.

Let, its average speed was x mph.

Then, Total time if didn't stop = 120/x h

Now, before stop it took time =( 1/3×120)/x h =40/x h

After stop it took time = 80/(x+15) h

i.e. 40/x +16/60+ 80/(x+15) = 120/x

⇒80/(x+15)+8/30= 80/x

⇒80(1/x-1/(x+15))=8/30

⇒10×(15/x^2+15x)=1/30

⇒x^2+15x=10×15×30

⇒x^2+15x-450=0

⇒x^2+75x-60x-450=0

⇒(x+75)(x-60)=0

⇒x=60 or, x= -75

Hence. the required speed was 60mph.

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Answer: It's the second option

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2020-2021 <3

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

Answer: 262,144.

Step-by-step explanation: (26)3(20)

=(643)(20)

=262144(20)

=(262144)(1)

=262144

Answer:

The quotient of 8 and d.

Step-by-step explanation:

I hope this helps you have a wonderful day! :D

Answer:

It was a 16.7% discount

Step-by-step explanation:

You have to get the discount and divide it by the original price and it would be 0.16753 and so the percent becomes 16.7%

Answer: About 6 percent off.

Step-by-step explanation:

hope this helps :)

Step-by-step explanation:

again option D x = 10, y= 3

is the correct answer of this question.

plz mark my answer as brainlist.if you find it useful.

hope this will be helpful to you.

Answer:

x = 10

y = 7

Step-by-step explanation:

4x-2 = x+28

4x-x = 28+2

3x = 30

x = 30÷3

x = 10

4y-7 = y+14

4y-y = 14+7

3y = 21

y = 21÷3

y = 7

Answer:

X = -2, Y = 13

X = 0, Y = 9

X = 2, Y = 5

X = 4, Y = 1

Step-by-step explanation:

Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:

y = -2(-4) + 9

Simplify it:

y = 8 + 9

y = 17

Repeat this process with the rest of the X values to get your Y values.