integers are natural numbers.

Answer:

the answer is 40 boys

Step-by-step explanation:

Let's say there are x boys who play both cards and carrom.

We setup up an equation that involved all information given and x.

Boys who only play cards = 45-x

Boys who only play carrom = 20-x

Boys who play both = x

Add there together and you should get 60, which is the total number of students in the class.

(45-x)+(20-x)+x=60

65-x=60

x=5

Boys who only play cards=45-x=45–5=40

hope it helps you

Answer:

there are 15 boys who can play both games in the class.

Answer:

Denise should plan to spend 36 minutes walking back.

Step-by-step explanation:

Let 'x' reflect the amount of time spent running in hours, then 3-x represents the time spent walking in hours.

here , we know,

           [tex]Distance= Speed \times time[/tex]

Given the values ,

[tex]Distance= 8x[/tex]  

[tex]speed=2mph[/tex]

[tex]Time=(3-x)hours[/tex]

Now , putting these values ,

[tex]8x=2(3-x)[/tex]

[tex]8x=6-2x[/tex]

[tex]10x=6[/tex]

[tex]x=\frac{6}{10}[/tex]

[tex]x=\frac{3}{5}[/tex]

[tex]\frac{3}{5} \times 60[/tex] = 36minutes (converting hours into minutes that is 1 hour = 60 minutes )

Hence , the answer is 36 minutes .

Answer:

Strawberry- 6  12  18

Banana -      1    2   3

Hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the number of children be x

and the number of adults be a

let the total price be y

given that children tickets are $6 each

also, an adult ticket is $10

x+a=14-------1

y=6x+10a----2

Therefore the expression for the total price can be expressed as

Answer:

10a + 6(14-a)

Step-by-step explanation:

Can't offer an explanation right now, Ill come back later and add it.

I had this same problem, this is the correct answer.

Answer:

D 30 square units

Step-by-step explanation:

count all the squares inside the triangle including the non full squares

Answer:

C. 25

Step-by-step explanation:

count the squares inside and the take two half ones and turn it into one

Answer:

x=y/6 - 11/6        

y=-7/3  +2x/3

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

y + 4 = 2(x - 3) ← distribute parenthesis

y + 4 = 2x - 6 ( subtract 4 from both sides )

y = 2x - 10 ← in slope- intercept form

The slope- intercept form of  the equation y+4=2(x−3) is y = 2x - 10 .

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The equation is

 y+4=2(x−3)

We have to find the correct slope-intercept form of the equation.

The equation of a line in slope- intercept form is

y = mx + c

According to given question we have,

y + 4 = 2(x - 3)

Distribute parenthesis we get,

y + 4 = 2x - 6

subtract 4 from both sides  we get,

y = 2x - 10

Therefore , the  slope- intercept form of  the equation y+4=2(x−3) is y = 2x - 10 .

Learn more details about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

1. Decreasing 2. Constant 3. Increasing 4. Constant

Step-by-step explanation:

:)

Answer:

It’s not c on Plato

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

[tex]25w+200=750\\\\25w+200-200=750-200\\\\25w=550\\\\\frac{25w=550}{25}\\\\\boxed{w=22}[/tex]

Hope this helps.

Answer:

d + r ≥ 30

$0.75d + $1.25r ≤ $30

Step-by-step explanation:

Given the following :

Number of items to purchase = atleast 30

Total cost must be no more than 30

cost of donut (d) = $0.75

Cost of cinnamon (r) = $1.25

Number of donuts and cinnamon to purchase

To total number of items :

Donut + cinnamon ≥ 30

d + r ≥ 30

Cost of items to purchase :

Cost = price per item * number of items

$0.75d + $1.25r ≤ $30

Answer:

789.6 in³

Step-by-step explanation:

r=d/2

r=15.6/2

r=7.8 in

Then Volume=1/3pier²h

1/3(3.14)(7.8)²(12.4)

1/3(3.14)(60.84)(12.4)

2368.866/3

=789.622

=789.6 in³

Answer:

24 1/4 cups of sugar.

Step-by-step explanation:

Simply take 6 and divide it by 1/4 to find how many 1/4 cups Jennifer has:

6 ÷ 1/4 = 24

Answer:(1,4)

Step-by-step explanation:

Answer:

the avacodos cost 12

Step-by-step explanation: if you sutract 23 by 11 you get 12 and if you chek you ansewer by adding 12+11=23

The answer is $3.

Step-by-step explanation:

1.   Let's subtract 11 ($ remaining) from 23 ($ we had originally) to see how much we spent in total. (23 - 11 = 12)

2.  Divide 12 ($ spent) and 4 (Avocados bought) to find out how much each avocado cost. (12 ÷ 4 = 3)

Answer:

a)  9/100 b) 7/20

Step-by-step explanation:

Brailiest and thx pleease!

Answer:

The burger is $5 each.

Step-by-step explanation:

8x = 40

x = 5

Answer:

the unit price would be $5

Step-by-step explanation:

40÷8=5

5×8=40

Answer:

3/12

Step-by-step explanation:

Because first off, you have to make 1/6 addable to 7/12. So multiply 1/6 by 2 and should get 2/12. Add the two together (2/12 + 7/12 = 9/12). Now, How much more needs to be added to make 12/12, 3/12. So I believe the answer is 3/12.

Answer:

x = - 1, y = 6

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

y = 6x + 12 → (2)

Substitute y = 6x + 12 into (1)

6x + 12 = - 2x + 4 ( add 2x to both sides )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 6(- 1) + 12 = - 6 + 12 = 6

Solution is (- 1, 6 )

Answer:

140 liters will remain after 10 mins

Step-by-step explanation:

The easy way is just multiply the amount lost per min by the number of mins.

Answer:

The diameter of the circle = 10 cm

The radius of the circle= 10/2= 5 cm

Area of the circle = pi r^2

= pi 5^2

=3.14 *25

= 78.5 cm ^2

Answer:

P(-9) = -22 hope this helps! i may be wrong tho, cuz i haven't done this in a while

Step-by-step explanation:

P(-9) = 3(-9) +5

P(-9) = -27+5

P(-9) = -22

Answer:

1x-2

Step-by-step explanation:

you subtract 4x from 5x and you get 1x-2

Answer:

9x - 2

Step-by-step explanation:

combine like terms

Answer:

adjacent interior angle

Step-by-step explanation:

We want to see which of the given statements about the number pi are true.

The correct options are: a, d, and e.

First, let's talk a little bit about the number pi.

The irrational number pi is defined as the quotient between a circle's circumference and its diameter.

So if we know that a circle has a diameter D, the circumference of that circle is given by:

C = pi*D

Now let's analyze each option to see which ones are true.

a) "Pi is the area of a circle of radius 1."

The area of a circle of radius R is given by:

A = pi*R^2

So if the radius of this circle is R = 1. we have:

A = pi*1^2 = pi

So the area of this circle is pi, thus the statement is true.

b) "Pi is the area of a circle of diameter 1."

The diameter is twice the radius, so the radius of this circle is 0.5, we know that pi is the area of a circle of radius 1, not a circle of radius 0.5, so this is false.

c) "Pi is the circumference of a circle of radius 1."

The circumference of a circle of radius R is given by:

C = pi*2*R

If the radius is equal to 1 we have R = 1, then:

C = pi*2*1 = 2*pi

The circumference of this circle is 2*pi, not pi, so this is false.

d) "Pi is the circumference of a circle of diameter 1."

We know that the circumference of a circle of diameter D is:

C = pi*D

So if D = 1, we have:

C = pi*1 = pi

So the circumference of this circle is equal to pi, thus, this statement is true.

e) "Pi is the constant of proportionality relating the diameter of a circle to its circumference."

A proportional relation is:

y = k*x

where k is the constant of proportionality.

The relation between the circumference is given by:

C = pi*D

So yes, pi is the constant of proportionality, this is true.

F) "Pi is the constant of proportionality relating the radius of a circle to its area."

The area equation is:

A = pi*R^2

note that the radius is squared, so this is not a proportional relation, then the statement is false.

Finally, we can conclude that the true statements are:

a, d, e.

If you want to learn more, you can read:

https://brainly.com/question/7135052

Answer:

wouldnt it be 3?

Step-by-step explanation:

Answer:

3 hectoliters

Step-by-step explanation:

Divide the volume value by 100

Answer:

$18.14

Step-by-step explanation:

step one:

given that Mixed nut sell for $7.89 a pound

that is 1 pound sells for $7.89

           2.3 pound will cost x

step two:

x= $7.89(2.3)

x=18.14

Therefore the cost os 2.3 pounds will be $18.14

Answer: A

Step-by-step explanation:

19+13x+32

13x=32-19

13x=13

x=1

Answer:

Step-by-step explanation:

Amount charged = $5.00

Amount charged for per mile = $3.00

Miles traveled =

Total amount charged = $41.00

Total amount = $3 per mile - $5

41-5 = 35

Miles traveled= $35 ÷ $3

35÷3 = 11.66

Miles traveled = 11/11.66