To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?​

Answer:

17.08

Step-by-step explanation:

Basically, this is half of 34.16, which is 17.08.

Hoped this helped.

Answer:

427/25

Step-by-step explanation:

Change to percentage: 3416/100

Simplify: 854/25

854/25 dived by 2/1 (same thing as 2)

KEEP, CHANGE, FLIP

854/25 x 1/2= 427/25

Answer: 5 in

Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.

Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

Answer: A number is a minimum of 6

Step-by-step explanation:

The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.

Answer:

7.  x = 9

9. x=7

Answer:

do you know what the question is asking?

Step-by-step explanation:

Answer:

The perfect square lockers are the only ones left open.

Step-by-step explanation:

Here is a legit link to an explanation of this old puzzle problem!

https://36university.com/act-math-locker-problem-solution/

Quoting from that page:

Method 2: Who Touches Which Lockers

Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.

Here’s what I mean:

Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.

Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.

Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.

Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.

Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.

By this logic, every locker would be closed.

But there are exceptions!

Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.

Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.

Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a. is correct

b. not correct

c. not correct

d. is correct

Step-by-step explanation:

3-75:

a) 3x + 7 = x - 1

Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)

b) -2x - 4 = -4x + 3

Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)

c) -3x + 5 + 5x - 1 = 0

Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)

d) -(x - 1) = 4x - 5 - 3x

Combine 4x and -3x together to get

-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)

Explanation:

I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.

Hope this helps though, I did my best :)

Answer:

I think it's infinantly many solutions

Step-by-step explanation:

6•4x= 24x.

6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31

24x-31 24x-31

sorry that's it's set up so wierdly

Answer:

Any value of  X  makes the equation true.

Step-by-step explanation:

Answer:

The answer is ">"

Step-by-step explanation:

I took the quiz epicly

Answer:

>

Step-by-step explanation:

Answer:

$25.56

Step-by-step explanation:

first find the discount

32 • 0.25 = 8

32 - 8= 24

find the tax

24 • 0.065 = 1.56

24 +1.56 = 25.56

so the final price is $ 25.56

Answer:

25.56

Step-by-step explanation:

25% of 32= 8

32-8= 24

6.5% of 24= 1.56

24+1.56= 25.56

I hope this helped! Also, the Semester Knowdowns are done in a week! Start trying to get higher scores!

Answer:

33/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b, where m is the slope and y the y-intercept (the value of y when x=0).

(0, y) , (2, 7); m = 1/2

We can start with y = (1/2)x + b

To find b, use one of the two given points.  I'll use (2,7), since (0,y) isn't helpful.

y = (1/2)x + b

7 = (1/2)*2 + b

7 = 1 + b

b = 6

The equation is y = (1/2)x + 6.

Now find (0,y) by using x = 0:

y = 6

The second point is (0,6)

============  

2. (4, 2) , (5, y) m = 4

y = mx + b

y = 4x + b

Use (4,2) and solve for b:

2 = 4*4 + b

b = -14

The equation is y = 4x - 14

Now find (5,y):

y = 4x - 14

y = 4*5 - 14

y = 20 - 14

y = 6

The second point is (5,6)

Se attached graph.

--

Answer:

63

Step-by-step explanation:

I side=9 nails*1= 9nails

7 sides= 9*7 nails= 63 nails

Each birdhouse requires 63 nail.

Hope this helps!

Answer:

The answer is "yes. they're similar CDEF ~ QRST, scale factor; 4/3

Step-by-step explanation:

If you multiply 3 by 4/3. The answer will be 12/3 or 4.

If you multiply 6 by 4/3. The answer will be 24/3 or 8.

The time it takes for a rocket  to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket  to hit the ground is 3 seconds

Answer:

345645

Step-by-step explanation:

60 x 45

Answer:

Step-by-step explanation:

25% commission equals 180.00

Total sales amount is x:

Answer:

The correct answer will be option D.

Step-by-step explanation:

They both have a pretty fair chance of winning.

Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be

3/4+3/4=2 3/4

So, let us suppose that we have x erasers. The length of the row of x erasers would be

3/4 x

we want x such that this length is 42, so we have the equation

3/4 x =42

Step-by-step explanation:

Only two positive integers, 2 and 8, fit the description.

2 = 10 (base 2) = 2 (base 3)

8 = 1000 (base 2) = 22 (base 3)

Their sum is 10.

Answer:

Step 2 you should subtract 5 (aka D)

Step-by-step explanation:

Simple, its 2+ step equations.

Step 1 Look at the problem

Step 2 Subtract the second normal number by the rest (5- -12 and 19)

Step 3 answer

Answer:

-1/4, 1/8 and 1/5.

Step-by-step explanation:

Answer:

15/2= 7 1/2 =7.5

Step by step

Step 1 of 2: Add.

Add

5 and 2 over 165

2

16

+ 2 and 3 over 82

3

8

= 120 over 16

120

16

Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

5 and 2 over 165

2

16

= ( 5 × 16 ) over 16

5 × 16

16

+ 2 over 16

2

16

= ( 80 + 2 ) over 16

80 + 2

16

= 82 over 16

82

16

Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 3 over 82

3

8

= ( 2 × 8 ) over 8

2 × 8

8

+ 3 over 8

3

8

= ( 16 + 3 ) over 8

16 + 3

8

= 19 over 8

19

8

Step 1 of 2: Add, sub-step c: Find common denominator.

Find common denominator

82 over 16

82

16

+ 19 over 8

19

8

= ( 82 × 1 ) over ( 16 × 1 )

82 × 1

16 × 1

+ ( 19 × 2 ) over ( 8 × 2 )

19 × 2

8 × 2

= 82 over 16

82

16

+ 38 over 16

38

16

16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Add, sub-step d: Add.

Add

82 over 16

82

16

+ 38 over 16

38

16

= ( 82 + 38 ) over 16

82 + 38

16

= 120 over 16

120

16

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

120 over 16

120

16

= 15 over 2

15

2

= 7 and 1 over 27

1

2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

120 over 16

120

16

= ( 120 ÷ 8 ) over ( 16 ÷ 8 )

120 ÷ 8

16 ÷ 8

= 15 over 2

15

2

8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

15 over 2

15

2

= 7 and 1 over 27

1

2

15 ÷ 2 = 7 remainder 1

Answer:

why

Step-by-step explanation:

why