What is the percent decrease of the price of a bicycle if the original price was $120 and the sale price is $80?

Answer:

  £3.50

Step-by-step explanation:

The total number of cans Mae bought was ...

  (12 cans/box)×(7 boxes) = 84 cans

The revenue from sales is ...

  (3/4)(84)(70p) +(1/4)(84)(40p) = 84(3/4×70p +1/4×40p) = 84(52.5p +10p)

  = £52.50

The cost of the drinks was ...

  (£7/box)×(7 boxes) = £49.00

Mae's profit is the difference between her sales revenue and her cost:

  profit = revenue - cost

  profit = £52.50 -49.00 = £3.50

Answer:

no solutions

Step-by-step explanation:

7x + 15 = 9x + 15 - 2x + 1

Combine like terms

7x+15 = 7x+16

Subtract 7x from each side

7x+15-7x = 7x+16-7x

15 =16

This is not a true statement so there are no solutions

Answer:

3 people.

Step-by-step explanation:

493÷7=70 with 3 remaining.

Answer:

0.053 kg

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

28%

Step-by-step explanation:

(25%-7%)×4

100%-28%

Answer:

32°

Step-by-step explanation:

Its pretty strait forward.

2x + 60° + 3x - 40° = 180°

5x + 20° = 180°

5x = 160°

x = 160°/5

x = 32°

Actually I am from India, Please Mark me as brainliest.....

Step-by-step explanation:

This is a polynomial so we can use rational roots Theorem to solve the equation.

The rational roots simply states that the roots of a polynomial, in the form of

[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]

The possible roots of the polynomial are the factors of

p/r.

We say r^0 to represent the constant and p to represent the leading coeffceint.

So the rational roots states the possible roots of a polynomial is

the factors of leading coeffceint/ the factors of the constant.

In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.

The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are

positive or negative (1,1/2, 1/3,1/6, 3, 3/2).

Now, we see which of the following roots will that the polynomial, P will equal zero.

It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.

So our factored version of the polynomial is

[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]

Now can we continue and factor the right side of the factors.

3 also works so x-3 is a factor as well so

[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]

Now factor the quadratic using factoring by grouping

[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]

So our factor are

[tex](3x + 1)(x - 2)[/tex]

So in conclusion our factors are

[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]

And our x values are -1/3, 2, -1, and 3.

Answer:

h,c

Step-by-step explanation:

Answer:

This is not possible with 2 equal symbols

Answer:

Step-by-step explanation:

sum of ratio=3+7=10

total=120 ml

first part=3/10×120=36 ml

second part=7/10×120=84 ml

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

Answer:

PLANE SPEED --

While flying against the wind - 675 km/h

While flying along with the wind - 750 km/h

WIND SPEED --

Speed of the wind - EXPLANATORY LOOK AT ABOVE DATA

Step-by-step explanation:

If you need the explanation, just comment yes :)

It's a bit long, so I'm not sure if you just wanted the answer or the whole step-by-step explanation.

Answer:

true

Step-by-step explanation:

the less than or equal to sign (≤) means that -4 is a solution. if it was the less than sign (<) then -4 would not be included

Answer:

i believe it would be true

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

right

Step-by-step explanation:

y=2x+1

9=2(4)+1

9=8+1

9=9

10 is the your answer, hope its worth it

What do you mean? What’s the question?

Answer:

Unknown

Step-by-step explanation:

Question, not provided.

Answer:96

Step-by-step explanation:

They would meet 30 times after 10 minutes.

Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:  

Therefore, they would meet 30 times after 10 minutes.

Learn more about maths in https://brainly.com/question/25849676

40 dollars

Step-by-step explanation:

Answer:

y = 8 + 4x

Step-by-step explanation:

y is the total cost of 1 skating experience.

y = 8 + 4x

This can be read as:  the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented.  No snacks included.

Answer:

15 percent

Step-by-step explanation: You will substract the new value from the old value.

23-20

Now you will get the difference between them and divide that by the original amount.

3/20

This will equal 0.15 in which you now multiply by 100

15 percent

Answer:

12*2=24

Step-by-step explanation:

Answer:

what do you need help with??

Step-by-step explanation:

i would be happy to help : )

Answer:

£3691 (nearest pound)

Step-by-step explanation:

Consider the rate of compound interest is r and the initial amount of savings is P, hence

[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]  

Therefore, the final amount of savings after nth years of compund interest is

[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].

Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus

[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]

Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.

[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Hence, the charge to walk each of the eight dogs is $ 20.75

Answer:

1

Step-by-step explanation:

Using the cofunction identity

sec(90 - x) = cosecx , then

sec(90 - 58)° = cosec32° , so

[tex]\frac{cosec32}{sec58}[/tex]

= [tex]\frac{cosec32}{cosec32}[/tex]

= 1

Answer:

3

Step-by-step explanation:

Step 1: Find the factors of 3 and 33.

Step 2: Find the largest common factor they share.

Therefore, the GCF of 3 and 33 is 3.

It helps to set up a two way table as shown below. Such tables compare 2 different variables. In this case, we're comparing the variables "working status" and "age".

Specifically, the working status separates the men into "working vs non-working". The age variable splits the men into groups of "35 or younger" and "over 35". Usually, but not always, each variable will take on two values.

Let's say this town had 1000 married men. 80% of this is 0.80*1000 = 800 to indicate there are 800 married working men. So we write this in the "total" column for the "working" row. This leaves 1000-800 = 200 nonworking married men, which will go right under the 800.

We're told that 75% of the married men are over 35, so 0.75*1000 = 750 married men are over 35. This goes in the "total" row for the "over 35" column. There are 1000-750 = 250 married men who are 35 and under.

As you can see, the stuff in the total column and the total row must add back to the grand total of 1000 married men overall.

--------------------------------

Another bit of info given is that "Among the working married men, 70% are over 35". We'll only focus on the "working" row. We have 800 total and 70% of this is 0.70*800 = 560 which is the number of working married men over 35. This leaves 800-560 = 240 married men who are not over 35.

At this point, we have 2 spots left in the table. Through guess and check, or using algebra, you should find that there are 190 non-working men over 35 and 10 non-working men who aren't over 35. Make sure that each row and column total checks out.

--------------------------------

By now, the table is fully filled out. See below.

Your teacher now asks "what proportion of non-working married men are over 35 years old?" which means we'll only focus on the "non-working" row. There are 200 men total here, and of this total, 190 are over 35.

So, 190/200 = 0.95 = 95% of the non-working married men are over 35.

Answer:

1200 units 30 times 40 is 1200

1200 sq units

hope this helps