In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.)

Step-by-step explanation:

the dividend divided by the divisor equals the quotient

The dividend is [tex]5\frac{1}{6}[/tex] and the divisor is [tex]2\frac{5}{12}[/tex] and the quotient is [tex]2\frac{4}{29}[/tex]. Therefore, option A is the correct answer.

The given equation is [tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex].

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

[tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex]

⇒ 31/6 ÷ 29/12 = 62/29

⇒ 31/6 × 12/29 = 62/29

⇒ 62/29 = 62/29

Here, the dividend = [tex]5\frac{1}{6}[/tex] and the divisor = [tex]2\frac{5}{12}[/tex] and the quotient = [tex]2\frac{4}{29}[/tex]

Therefore, option A is the correct answer.

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Answer:

Step-by-step explanation:

Slope is the difference in y values over the difference in x values

another way to look at it is [tex]\frac{rise}{run}[/tex]

If the slope is 0.28, that means that

[tex]rise = 0.28(run)[/tex]

We're told that the section rises by 1 unit

[tex]1 = 0.28(run)\\[/tex]

[tex]run = \frac{1}{0.28} = 3.571428571 = 3.57[/tex]

Answer:

90

Step-by-step explanation:

The number of candies can be divided among 2, 3, or 5 children so that is the same as saying: the number of candies must be divisible by 2, 3, and 5. In order for a number to be divisible by 5, it must end in 0 or 5 so we know the number of candies must end in 0 or 5. For a number to be divisible by 2, the number must end in an even number. 5 is not an even number so we know the number of candies must end in 0. If a number is divisible by 3, the digits added are divisible by 3. Go through each number(80, 90, 100) and see which one is divisible by 3. 90 is divisible by 2, 3, and 5.

Proof that 90 is divisible by 2, 3, and 5:

90 ÷ 2 = 45

90 ÷ 3 = 30

90 ÷ 5 = 18

The results are all whole numbers.

Answer:

12 years

Step-by-step explanation:

Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.

Assuming that they purchase new cars together after n years.

So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.

As LCM od 4 and 6 is 12, so n=12.

Hence, after 12 years they will purchase news cars together.

Answer:

The sale price is $763.20

The price for club members is $610.56

The current selling price is $763.20, and the cost to members with an additional  10% reduced rate is $686.88.

A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."

Given, a computer store buys a computer system at a cost of ​$572.40.

And the selling price was first at $954​, but then the store advertised a 20% markdown on the system.

To find the current sale price:

Current sales price;

use percentage formula,

= $954 - (20% × $954)

= $954 - (0.2 × $954)

= $954 - $190.80

= $763.20

To find the cost to club members at 10% additional reduced price:

use percentage formula,

= $763.20 - (10% × $763.20)

= $763.20 - (0.1 × $763.20)

= $763.20 - $76.32

= $686.88

Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.

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Answer:

(4,1)

Step-by-step explanation:

Using substitution you can determine that 2*4-7 is in fact equal to 1

Answer:

1/2/3/4/5

14/28/42/56/70

Step-by-step explanation:

divide the 42 gallons by 3 (since 3 seconds for 42 gallons) to find the rate of change. the answer is 14. then just do the number times 14 all the way. and yes this is proportional

Answer:

nothing

Step-by-step explanation:

a product of 2 positive numbers always shows a positive value if we add them

Answer:

19.95x+9.95y= Total cost

Step-by-step explanation:

Answer:

68-13=13 and 68-55 = 13

Step-by-step explanation:

Answer:

68-13=55 or 68-55=13

Step-by-step explanation:

is something like this what u mean

Answer:

Q and W are similar but not congruent.

Step-by-step explanation:

Answer:

the constant of proportionality is the ratio between two directly proportional quantities.

b. k=y/x or y = k*1/x

Answer:

Work shown below!

Step-by-step explanation:

White bead = [tex]\frac{5}{15} =\frac{1}{3}[/tex]

Answer:

a 33.3333333% chance

Step-by-step explanation:

we do 7+3+5= 15 (the denominator)

and so the amount of white beads in total is 5/15

5÷15+100= 33.333333333 and so on percent

Answer:

8,748

Step-by-step explanation:

f(x) = [tex]12(3)^{x}[/tex]

f(6) = [tex]12(3)^{6}[/tex] = 12 × 9³ = 12 × 729 = 8,748

Answer:

C on Edge

Step-by-step explanation:

Edge2020

Answer:

C

Step-by-step explanation:

right on edge, hope this helps

Answer:

x=8

Step-by-step explanation:

Each of the angles in a rectangle equal 90, so you would set 10x+10 equal to 90.

10x+10=90

10x=80

x=8

Answer: -1,6 maybe

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

6x-3 and 75 are not equal to each other. If you look closer you can see that 75 is an acute angle making it less than 90 degrees and 6x-3 is an obtuse angle meaning it is bigger than 90 degrees. Therefore you add both 75 and 6x-3 to get 180 because 180 is equal to a straight line and an acute angle and an obtuse angle both form a straight angle when together. So your problem would be 75+(6x-3)=180

Answer:

0.51

Step-by-step explanation:

okay I'm not good at explaining this but I'm going to try my best

put 0.15 on top of 0.36 like this

1

0.15

0.36

_____

0.51

5+6=11

3+2=5 I said 2 because 5+6=11 so you had to carry your 1

then you would just bring your 0 down cause everybody know 0+0=0 lol!

Answer:

y > 4

Step-by-step explanation:

if you are doing 2y-6 >2, firstly move the constant to the right to get 2y > 2+6. Then calculate the sides, you get 2y > 8. Divide both by 2 and get y > 4

Answer:

-3y>9= y<-3

2y-6>2=y>4

Answer:

-8x-21=3y or -8/3x-7=y or 8x+y+21=0

Step-by-step explanation:

First find the slope of 3x-8y=16.

3x-16=8y (divide both sides by 8 so that y is isolated)

3/8x-2=y The slope is 3/8. The perpendicular slope is the negative reciprocal of 3/8, which is -8/3

Using the points, the equation of the line can be found.

(-8/3=y-1/x-(-3))3(x-(-3) (3(x-(-3) is the common denominator

This equals -8x-24=3y-3, add three to both sides which equals -8x-21=y.

The other answers are written in slope y-intercept form and general form.

*Note: x-(-3) can be written as x+3

Answer:

we dont have paper

Step-by-step explanation:

Answer:

green line: y = 1x + 6

blue line: y = 1x + 3

Step-by-step explanation:

I did give an explanation her but someone deleted it. :(

Answer:

(-8) + (-8) + (-8) + (-8)

Step-by-step explanation:

Since Yan is descending ; we represent his movement as being negative.

Number of rungs descended before stopping = 4

Number of stops = 8

Given that no extra steps was taken ;

Number of ladder rungs descended :

4 rungs per stop for 8 stops

- 4 * 8 = - 32 rungs

Another way to write the product :

Number of stops added in number of rungs descended :

(-8) + (-8) + (-8) + (-8)

Answer:

they both have the same angles

Step-by-step explanation:

Answer:

5:3

Step-by-step explanation:

this is because 15:10 can be divided by 5 on each side

Answer:

2:3

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

17-13=4 and 21-17=4 and 25-21=4  so d=4

[tex]t_n=t_1+d(n-1)\\\\t_1=13\\d=4\\\\t_n=13+4(n-1)\\\\t_n=13+4n-4\\\\\underline{t_n=4n+9}[/tex]

[tex]t_{40}=4\cdot40+9=160+9=169[/tex]

Answer:

12-9=3

Step-by-step explanation:

Answer:

27

Hope this helps you out!