Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes. Give your answer in hours and minutes.

Answer:

i honestly dont know

Step-by-step explanation:

i need pointsss

Answer:

It’s already solved for y

y = x - 4

Step-by-step explanation:

If it’s for x,    X = y + 4

Answer:

y = 8 root 2

Step-by-step explanation:

Since it is a 90-45-45 triangle, y is s root 2

s = 8

so, y = 8 root 2

Answer:

y=8√2

Step-by-step explanation:

Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24−4x=2x

24+−4x=2x

−4x+24=2x

Step 2: Subtract 2x from both sides.

−4x+24−2x=2x−2x

−6x+24=0

Step 3: Subtract 24 from both sides.

−6x+24−24=0−24

−6x=−24

Step 4: Divide both sides by -6.

−6x /−6  = −24 /−6

x=4

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equations.

==> 24-4x=2x

==> 24 = 2x+4x

==> 24 = 6x

===> x = 24/6

===> x = 4

Volume = base area x tall

base area = π x (1.8in)²

base area = 10.179 in²

Volume = 10.179 in² x 6.7 in

Volume = 68.198 in³

the volume is 68.198 in³

Answer:

Must save 8 weeks or more to purchase the bike.

Step-by-step explanation:15*w >= 120 where W is the number of weeks.

w >= 120/15 = 8

You need to save $15 every week for the next 8 weeks in order to purchase the bike.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that you save $15 per week to purchase a bike that costs $120.

Assume that you need [w] weeks to save $120 for the bike.

Amount earned per week [A] = $15

Amount earned in [w] weeks [W] = $15w

Money needed [R] = $120

The inequality can be written as -

[W] ≥ [R]

We can write it as -

15w ≥ 120

Solving the inequality, we get -

15w/15 ≥ 120/15

w ≥ 8

Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.

To solve more questions on inequalities, visit the link below-

brainly.com/question/26434651

#SPJ5

Given:

The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."

To find:

Whether the given statement in true or false.

Solution:

Area of circle is

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is

[tex]A_1=\pi (r_1)^2[/tex]

The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:

[tex]r_2=1.5r_1[/tex]

The area of the new circle is

[tex]A_2=\pi (r_2)^2[/tex]

[tex]A_2=\pi (1.5r_1)^2[/tex]

[tex]A_2=2.25\pi (r_1)^2[/tex]

[tex]A_2=2.25A_1[/tex]

The area of the new circle is 2.25 times the area of the original circle.

Therefore, the given statement is false.

Answer:

120ft

Step-by-step explanation:

8 x 3 x 5

Given:

[tex]h(1)=9[/tex]

[tex]h(n)=h(n-1)\cdot (-3)[/tex]

To find:

The explicit formula for h(n).

Solution:

We have,

[tex]h(n)=h(n-1)\cdot (-3)[/tex]         ...(i)

It is the recursive formula of a geometric sequence. It is of the form

[tex]a(n)=a(n-1)\cdot r[/tex]         ...(ii)

where r is the common ratio.

On comparing (i) and (ii), we get

[tex]r=-3[/tex]

We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].

The explicit formula for a geometric sequence is:

[tex]h(n)=ar^{n-1}[/tex]

Substitute a=9 and r=-3 to get the explicit formula for the given sequence.

[tex]h(n)=9(-3)^{n-1}[/tex]

Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].

Answer:

1

Step-by-step explanation:

Two ordered pairs that can be seen are (0,1) and (1,2)

Using delta y/ delta x,

(2-1)/(1-0) = slope

slope = 1/1

slope = 1

Answer:

slope = 1

Step-by-step explanation:

To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.

Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]

Thus, the slope is 1.

Answer:

15x^2+5x^3+9

Step-by-step explanation:

(7x^2+8x^2)+5x^3+9

15x^2+5x^3+9

Answer:

A

angle 1 + angle 4 is equal to 180

if angle 4 = 127, angle 1 must equal 53

Step-by-step explanation:

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

==> -2z +10z -7 > = 2z -9z -4

=> 8z - 7 >= -7z -4

=> 8z +7z >= -4+7

=> 15z >= 3

=> z >= 3/15

===>

[tex]z \: \geqslant \frac{1}{5} [/tex]

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

Answer:

15

Step-by-step explanation:

9/6=x/10

why? they segments are similar

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

[tex]\frac{5}{150}[/tex]=[tex]\frac{x}{60}[/tex]

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

Answer:

40+8w=0

8w=-40

w=-40/8

w=-5

Answer:

38

Step-by-step explanation:

180-42

Answer:

38

Step-by-step explanation:

A + 142 = 180 {Linear pair}

         A = 180 - 142

        A = 38

Answer: Annual Income Is $192000

Step-by-step explanation:

firstly know one month income we divide by 48000 by 3

= 16000

we know one month income 16000

than we for know annual income we multiply by 12

16000×12 =192000

annual income is $192000

Answer:

3y=49

Step-by-step explanation:

yeppp I'm pretty sure

Answer: Each classmate got 9 pencils

Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.

Answer:

-2x-6

Step-by-step explanation:

Distribute -2x -2(3) = -2x-6

Answer:

3.8 months

Step-by-step explanation:

Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded

quarterly. Assuming no deposits or withdrawals are made, how long would it take, to

the nearest year, for the value of the account to reach $51,800?

First step! What is 5.3% of 36k?

1,908

Second Step! Divide

51,800/1,908= 27.1488469602

Third Step! Round

27.1488469602= 27.1

27.1 weeks.

7 weeks in a month.

12 months in a year.

27.1/7= 3.8

3.8 months

The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the number years be represented as b

where the amount after b years is = $ 51,800

The initial principal amount P = $ 36,000

The number of times the compound interest is applied = quarterly = 4

Now , the equation is

A = P ( 1 + r/n )ⁿᵇ

On solving for the number of years b , we get

b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]

b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )

On further simplification , we get

b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )

b = 6.911 years

On rounding to the nearest year , we get

b = 7 years

Therefore , the value of b is 7 years

Hence , the number of years is 7 years

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ2

Answer:

[tex]n^{2}[/tex]

Step-by-step explanation:

1, 4, 9, 16

1=[tex]1^{2}[/tex]

4=[tex]2^{2}[/tex]

9=[tex]3^{2}[/tex]

16=[tex]4^{2}[/tex]

so, the fifth term is [tex]5^{2}[/tex] = 25

Answer:asdjf;alksjdf;oajfeowijf;askf;oiasjef;awejf;oaisejf;awe;ifo

Step-by-step explanation: