Boris rides around a 800 metre track recording his speed each time. In
the three laps he recorded 49 secs, 53 secs and 48 secs. What was his
average time per lap?​

Answer:

By "make k as a subject", I assume you mean to solve for k?

If that is the case, then the answer is:

k = (c - a) / b

Step-by-step explanation:

Let's solve for k

a/k + b = c/k

Multiply both sides by k:

a + bk = c

Group terms containing k on the left:

bk = c - a

Divide both sides by k:

k = (c - a) / b

Answer:

x^2-8x+15

X^2+(a+b)X+ac

=X^2-(5+3)X+(1)(15)

a+b=8

ac=15

=x^2-5x-3x+15

=x(x-5)-3(x-5)

=(x-3)(x-5)

Answer:

a) -3 and -5

a) (x - 3) (x - 5)

Step-by-step explanation:

Answer:

$24.7875

Step-by-step explanation:

Step one:

given data

your bill before taxes and tip is $19.83

6% sales tax

tip equal to 19% of the original amount.

Required

The total expenses

Step two:

let the total expenses be y

let us calculate the cost of  tax and the tip

Tax

=6/100*19.83

=0.06*19.83

=$1.1898

Tip

=19/100*19.83

=0.19*19.83

=$3.7677

Total

Y= 19.83 +1.1898 +3.7677

Y= $24.7875

Answer:

X=-6

Step-by-step explanation:

Add 14 on both sides

-2x=12

divide by -2

x=-6

Answer:

R

Step-by-step explanation:

It is a triangle, so whichever point is not part of the line MUST be the opposite.

Also I am in geometry too, had my midterm today :D

Answer:

I think it is 4 white and 3 blue

Step-by-step explanation:

Because they have 3 cups of white then 6 cups of white so i think they multiplied it. Then they have 4 cups of blue then 8 cups of blue. So if you multiply it, it will give you the answer. I hope this is right and it helped and can you mark me brainliest!!!!!!!!

Answer:

Y24

Step-by-step explanation:

get smart child :)))

Answer: B. 3x + 1/5

tom's pencil is longer than Ellen's pencil:

5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)

Step-by-step explanation:

Answer:

The correct answer is B.

Step-by-step explanation:

Any point can be represented in polar form by using the notation:

[tex]A = (r, \theta)[/tex] (1)

And any polar function must satisfy the following definition:

[tex]r = f(\theta)[/tex]

Let [tex]r(\theta) = 4\cdot \cos 2\theta[/tex], where [tex]r[/tex] is the radial distance of any point of the curve from origin and [tex]\theta[/tex] is the direction of any point of the curve with respect to +x semiaxis, measured in radians.

Finally, we proceed to graph the function with the help of a graphing tool and attach the result.

Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:

[tex]Dom\{f\} = [-4,4][/tex], [tex]Ran\{f\} = [-4,4][/tex]

Then, the correct answer is B.

Answer: 360 miles hope this helps :D

Step-by-step explanation: 30/4=  1 mile every 7.5 min

7.5min times 48 equals 360 miles

Answer:

False

Step-by-step explanation:

The question is asking for the absolute value of -1. The absolute value is the distance of a number from 0. Think of a number line. -1 is one place away from 0, so the absolute value of -1 is 1. Therefore, the statement is not true.

Answer:

baaababababbabababab

Answer:

38

Step-by-step explanation:

51-13=38

Therefore 38 is the missing number

Answer:

36

Step-by-step explanation:

area of rectangle =length x width

givens:

width=4 units

length=9 units

area=9x4=36 units squared

Answer: it is D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

quadrilaterals only have 4 sides hence the prefix quad

Answer:

B and D

Step-by-step explanation:

C has five sides and A has three sides with a curve, curve doesn't count as a side

Answer:

It's D, a matrix having two equal rows

Step-by-step explanation:

Answer:

PEMDAS

Step-by-step explanation:

Follow this order to solve problems

Solve in

Parentheses

then

Exponents

then

Multiplication

or

Division

then

Addition

or

Subtraction

from left to right

Try to solve it on your own using this

Just to help ya out next time you have to answer these kind of questions

Answer:

1. 14  2. 64  3. 15  4. 27  5. 70  6. 62  7. 446  8. 23  9. 27  10. 102

Step-by-step explanation:

1. 4 + 84 / 7 - 2    2. 5 x 5 - 7 +82 / (2 x 1) + 5    3. (52-43) / 3 x (2 + 3)

  4 + 12 -2                 25 - 7 + 82 / 2 + 5                   9 / 3 x 5

     16 - 2                     25 - 7 + 41 + 5                           3 x 5

        14                            18 + 41 + 5                                15

                                            59 + 5

                                               64

4. 40 / 1 + 3 - (3 x 7) + 7 - 2     5. 3 + 6 x 12 - 5        6. (54 / 6) - 7 + (4 x 15)

       40 + 3 - 21 + 7 - 2                  3 + 72 - 5                    9 - 7 + 60

          43 - 21 + 7 - 2                         75 - 5                          2 + 60

              22 + 7 - 2                               70                               62

                 29 - 2

                    27

7. 5 x (49 / 1 - 5) x 2 + 9 - 3    8. 20 / 4 + 3 x 6    9. 19 + 63 / 9 x 3 - 13

     5 x 44 x 2 + 9 - 3                      5 + 18                  19 + 7 x 3 - 13

        220 x 2 + 9 - 3                          23                       19 + 21 - 13

            440 + 6                                                                 40 - 13

                446                                                                        27

10. (64 / 8) - 5 + (33 x 3)

       8 - 5 + 99

          3 + 99

             102

Answer:

[tex]\frac{10}{13}[/tex]

Step-by-step explanation:

In the question, the units of the length of both colored and white fabrics are not the same. So, convert the unit of the white fabrics into mm.

The length of colored fabric used = 13 mm.

The length of white fabric used = 1 cm

                                                     = 10 mm

To express the white fabric to colored fabric, we have;

[tex]\frac{length of white fabric used}{length of colored fabric used}[/tex] = [tex]\frac{10mm}{13mm}[/tex]

                               = [tex]\frac{10}{13}[/tex]

Thus, the amount of white fabric to colored fabric can be expressed as[tex]\frac{10}{13}[/tex].

Step-by-step explanation:

it is 4.5% rate in inflation

I think it helps you

Answer:

a 4.5 % rate in change

Step-by-step explanation:

Answer:

9.43 cm³

Step-by-step explanation:

Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius

36π cm² = 4πr²

r² = 36π cm²/4π

r² = 9 cm²

r = √(9 cm²)

r = 3 cm

So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3

= 4π(3 cm)³/3

= 4π(9 cm³)

= 36π cm³

The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm

V' = π(3 cm)² × 11 cm/3

= 9π cm² × 11 cm/3

= 33π cm³

So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³

= 3π cm³

= 9.43 cm³

Answer:

1. 54 2. 96

Step-by-step explanation:

10 4/5 times 5

54

Answer:

-67

Step-by-step explanation:

hope it helps you can do it

Answer:

Step-by-step explanation:

(245 - 4) - 3 x (2 + 1)

   241 - 3 x 3

      241 - 9

         232

or if u wrote the problem wrong

(45 - 4) - 3 x (2 + 1)

   41 - 3 x 3

      41 - 9

        32

actually comment what the actual equation is and I'll solve that, bc I don't think you typed it right

Answer:

The slope is 4/5

Step-by-step explanation:

Answer:

1 - 6x+8

2 - 4y+5

3 - 7g+5

4 - 2w+4

5 - 14d-12

6 - -3r+5

7 - 8

8 - -10p+10

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

Examples of Rational Number

1/9 – Both numerator and denominator are integers.

7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.

√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1

0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.

0.3333333333 – All recurring decimals are rational.

Examples of Irrational Number

√2 – √2 cannot be simplified and so, it is irrational.

√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.

3/0 – Fraction with denominator zero, is irrational.

π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.

0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.