Ben took part in a 45km bicycle race.Ben cycled at a speed of v km/h for the entire race.Express the time taken by Ben in terms of v.​

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

Answer:

3.(-2/0) this is your answer

Answer:

4, -8, 16

scale factor = x-2

4, -8, 16, -32, 64, -128, 256, -512, 1024, -2048, 4096, -8192, 16384

answer = 16,384

Answer:

B

Step-by-step explanation:

t=4x+c

Since we are looking for x,

t-c=4x

Divide through by the coefficient of x which is 4

4x/4=t-c/4

Therefore, x=t-c/4

Answer:

d + 24 = 55

Step-by-step explanation:

hope this helps have a great day

Answer: Midpoint = (11.5, 14.5)

Concept:

Here, we need to know the idea of the midpoint formula.

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

Solve:

Given information

(x₁. y₁) = (2, 3)

(x₂, y₂) = (11, 16)

Given expression

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

Substitute values into the expression

[tex]Midpoint=(\frac{2+11}{2}, \frac{3+16}{2} )[/tex]

Simplify the numerator by addition

[tex]Midpoint=(\frac{13}{2}, \frac{19}{2} )[/tex]

Simplify by division

[tex]\boxed{Midpoint=(11.5, 14.5 )}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

27 and 3

Step by Step explanation:

Just list the factors of 81 and find the two numbers

Answer:

3[tex]n^{4}[/tex] - 3n²

Step-by-step explanation:

(5[tex]n^{4}[/tex] - 2n²) - (4n² + 4[tex]n^{4}[/tex]) + (3n² + 2[tex]n^{4}[/tex])

Remove parenthesis, distributing the second one by - 1

= 5[tex]n^{4}[/tex] - 2n² - 4n² - 4[tex]n^{4}[/tex] + 3n² + 2[tex]n^{4}[/tex] ← collect like terms

= (5 - 4 + 2)[tex]n^{4}[/tex] + (- 2 - 4 + 3)n²

= 3[tex]n^{4}[/tex] + (- 3)n²

= 3[tex]n^{4}[/tex] - 3n²

The greatest possible length of time will be "1020 min".

Given:

The average length of time,

= 960

For all 3 computers,

The minimum length of time,

= 930

Let,

Now,

→     [tex]\frac{930+930+930+x}{3} = 960[/tex]

→  [tex]\frac{930+930+930}{3} +\frac{x}{3} =960[/tex]

→           [tex]\frac{3\times 930}{3} +\frac{x}{3} =960[/tex]

→              [tex]930+\frac{x}{3}=960[/tex]

→                        [tex]\frac{x}{3} = 960-930[/tex]

→                        [tex]x = 30\times 3[/tex]

→                        [tex]x = 90[/tex]

hence,

The greatest possible length of time will be:

=  [tex]930+x[/tex]

=  [tex]930+90[/tex]

=  [tex]1020 \ min[/tex]

Thus the above is the appropriate answer.

Learn more:

https://brainly.com/question/7994890

Answer:

J (17/5)

Step-by-step explanation:

Whole numbers cannot contain decimal values so 17/5 is not a whole number.

Answer:

Step-by-step explanation:

The ratio of boys to girls in the band is 5:6 and there are a total of 121 people.

We can call each bit of the ratio 'parts'.

So, there are a total of 5+6=11 parts in total, and there are a total of 121 people.

Therefore, each part of the ratio is equal to 121 ÷ 11 = 11.

Since there are 5 parts assigned to the number of boys in the band, then the total number of boys in the band is equal to 11 × 5, which is equal to 55 boys.

Answer:

100(10t-x)

Step-by-step explanation:

factor 100 out from the expression

63

Step-by-step explanation:

i gotchu keep these coming

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-4x - 5x}[/tex]

[tex]\huge\text{= -4x + (-5x)}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (-4x - 5x)}[/tex]

[tex]\huge\text{= -9x}[/tex]

[tex]\huge\boxed{\mathsf{Answer: -9x}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

-9x

Step-by-step explanation:

-4x-5x

Combine like terms

-4x-5x

-9x

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{9 + x + 1 + 2x}[/tex]

[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]

[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]

[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

55°

Step-by-step explanation:

Since two of the sides are the same length, that means ∠A and ∠B are the same.

All angles of a triangle add up to 180°

180 - 70 = 110

To find ∠A, we just divide 110 by 2

110 ÷ 2 = 55

Both ∠A and ∠B are 55°

Answer:

Q.1. x=8-5

x=3

Q.2. -3x=16-7

-3x=9

x=-9/3

x=-6

Q.3. 3p=6*7

3p=42

p=42/3

p=16

Q.4. 2(x+5)=24

2x+10=24

2x=24-10

2x=14

x=14/2

x=7

Step-by-step explanation:

For Q1.

1. x + 5 = 8

x = 8 - 5

x = 3

2. -3x + 7 = 16

-3x = 16 - 7

-3x = 9

x = 9/-3

x = -3

3. 3P/7 = 6

3P = 6*7

3P = 42

P = 42/3

P = 14

4. 2(x + 5) = 24

2x + 10 = 24

2x = 24 - 10

x = 14/2

x = 7

5. x/5 - 8 = 9

x/5 = 9 - 8

x = 5

For Q.2:

1. 12 + 4(x + 3(x + 4)) = 108

12 + 4(x + 3x + 12) = 108

12 + 4x + 12x + 48 = 108

60 + 16x = 108

6x = 108 - 60

x = 48/6

x = 8

2. 5x + 7(4 - (x + 3)) = 31

5x + 28 - x + 3 = 31

6x + 31 = 31

6x = 0

x = 0

3. 2(3y - 2(y + 5) + 3) = -4

2(3y - 2y + 10 + 3) = -4

2(y + 13) = -4

2y + 26 = -4

2y = 30

y = 15

4. 20 - 2(2x -(2 - x) + 10) = -44

20 - 2(2x - 2 + x + 10) = -44

20 - 2(3x + 8) = -44

20 - 6x - 16 = -44

4 - 6x = -44

-6x = -44 - 4

-6x = -48

x = -48/-6

x = 8

5. 5(3x - 4(x + 2) + 5(2x + 1)) = 60

5(3x - 4x - 8 + 10x + 5) = 60

5(3x - 4x + 10x - 8 + 5) = 60

5(9x - 3) = 60

45x -15 = 60

45x = 60 + 15

x = 75/45

x = 1.67

For Q.3:

1. x/2 + x/3 = 10

(3x + 2x)/6 = 10

5x/6 = 10

5x = 60

x = 12

2. 1/3(2x/7 - 1) = 3

1/3(2x - 7/7) = 3

2x - 7/7 = 3/(1/3)

2x - 7/7 = 1

2x - 7 = 7

2x = 14

x = 7

3. (P + 2/2) + ( 2P - 6/4) = 5

(2P + 4 + 2P - 6)/4 = 5

(4P - 2)/4 = 5

4P - 2 = 20

4P = 22

P = 5.5

4. x/3 - (2x + 1)/3 - (x - 3)/5

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

(1 - x)/3 - (x - 3)/5

(5 - 5x - 3x - 9)/15

(-8x - 4)/15

5. (y - 2)/3 + (2y + 5)/5 - (y + 7)/3

5/3 + (2y + 5)/5

(25 + 6y + 15)/15

(40 + 6y)/15

Hey there! I'm happy to help!

Let's see what we have for each variable.

I = 105

P = 100

r = 0.15

Now, let's plug it in and solve for our t (time)

105=100(0.15)(t)

Swap sides so t is on the left.

100(0.15)(t)=105

Divide both sides by 100.

0.15t=1.05

Divide both sides by 0.15

t=700

So, we see that it takes 700 months to earn this amount.

Have a wonderful day and keep on learning! :D

The number of months that it took to earn this amount will be 84 months.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest in percentage, and T is the time.

Samuel invested money in his bank account.

He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, R, of 0.15 per year.

At the end of the period, he had interest, I, of $105 in his account.

105 = 100 x 0.15 x t

t = 1.05 / 0.15

t = 7 years

The number of months that it took to earn this amount will be

⇒ 7 x 12

⇒ 84 months

The number of months that it took to earn this amount will be 84 months.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

Answer:

6.6

Step-by-step explanation:

Answer:

v=4

Step-by-step explanation:

-23=3v+9-11v

-23=9-8v

-32=-8v

v=4

Answer:

v=4

Step-by-step explanation:

-23=-8v+9

-23-9=-8v

-32=-8v

-32/-8=v  two negatives make a positive

4=v

Explanation:

The expression r/6 is the quotient of r and 6. The quotient is the result of a division problem. For example, the quotient of 100 and 25 is 4 because 100/25 = 4.

We'll then raise r/6 to the 3rd power to get the final answer (r/6)^3

We could rewrite it in its equivalent form (r/6)^3 = (r^3)/(6^3) = (r^3)/216, but the answer in bold is sufficient in my opinion.

Answer:

[tex] 1)-\sqrt{2.25} = - \sqrt{225 \times {10}^{ - 2} } \\ = -\sqrt{225} \times \sqrt{ {10}^{ - 2} } \\ =- 15 \times {10}^{ - 1} =- 1.5 = -\frac{3}{2} \\ 2) -\frac{3}{2} = -1.5 \\ thank \: you[/tex]

Answer:

x < -3.

x is less than negative 3

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x (- 3 + 3)

-15 < 5x

-15/5 < 5x/5

-3 > x

x < -3

Answer:

g(5) = -3

Step-by-step explanation:

Hi there!

[tex]g(x)=-x+2[/tex]

To find g(5), replace x with 5:

[tex]g(5)=-5+2\\g(5)=-3[/tex]

I hope this helps!

Answer:

g(5) = -3

Step-by-step explanation:

given:

[tex]g(x) = -x + 2[/tex]

find:

[tex]g(5)[/tex]

replace the x with 5

~~~~~~~~~~~~

➡️ [tex] g(5) = -5 + 2[/tex]

➡️ [tex] g(5) = -3 [/tex]

Answer:

I don't see anything but Perimeter is Length + Width × 2

25% markup = original + 25% = 125% of original = 1.25 x original

Selling price = 1.25 x dealer price

Answer = 521.25/1.25=$417

The dealers price would be 100% they sell it for 10% more so it is sold at 110 % of what the dealer pays.

Divide the selling price by 110% to get the dealers cost.

638 / 110% = 638 / 1.1 = 580

The dealers cost is $580

Answer:

|x + 2|

Step-by-step explanation:

Translating to the left and right has the number on the inside with the variable. Adding goes left and subtracting goes right.

(if you want an explanation on why it's opposite like that then just comment)

Answer:

4900

Step-by-step explanation:

because it is square root of 70 and it means

sol?

square of 70 =70²=70×70=4900

Answer:

22.  30

prime factorization of 30

2 × 3 × 5

so there is no simplification needed here

23. 126

2 × 3 × 3 × 7

simplification

2 × [tex]3^{2}[/tex] × 7

24.  4900

2 ×2 × 5 × 5 × 7 ×7

simplification

[tex]2^{2}[/tex] × [tex]5^{2}[/tex] × [tex]7^{2}[/tex]

25.  39204

2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

simplification

[tex]2^{2}[/tex] × [tex]3^{4}[/tex] × [tex]11^{2}[/tex]

26 .  

Yes 4900 is a square number it's square root is 70

you can even cross-check

70 × 70

= 4900

and even 39204 is a square number it's square root is 198

you can even cross-check

198 × 198

= 39204

Hence 2 numbers 4900 and 39204 are square numbers

27 .

i. highest common factor of 30 and 126

factors of 30 are 2 × 3 × 5

factors of 126 are 2 × 3 × 3 × 7

now find common between them

common factors are 2 and 3

so multiply 2 and 3

2 × 3

= 6

6 is the highest common factor

ii. 126 and 39204

factors of 126 are 2 × 3 × 3 × 7

factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

now find common between them

common factors are 2 × 3 × 3

= 18

18 is the highest common factor

28 .

1 .  126 and 4900

factors of 126 are 2 × 3 × 3 × 7

factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7

make the pairs of the numbers

2 ×2 × 5 × 5 × 3 × 3 × 7 ×7

= 44100   least common multiple

ii. 4900 and 39204

factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7

make the pairs of the numbers  

2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11

= 48024900 least common multiple