The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots. Which statement is true regarding these data sets?

Answer:

8

Step-by-step explanation:

the formula for direct variation =

Y ∝ kX

such that

Y = kX

from the question we have here

Y = Volume = 24

x = height = 3

when we put this in the formula above in bold

24 ∝ 3k

24 = 3k

from here we have to find the value of k. to do this, we divide through by 3

24/3 = 3k/3

8 = k

therefore the value of k is 8

Answer:

B

Step-by-step explanation:

it's b

m= d-10

The equation which best represents the total amount in the account, m, when starting with d dollars is

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A bank charges a $10 fee to open an account.

Let the account is started with d dollars.

From the amount d, $10 will be taken as an opening fee.

Remaining balance = d - 10

So if m represents the total amount in the account, the,

m = d - 10

Hence the total amount in the account, m, can be represented as m = d - 10, if the account is started with d dollars.

Learn more about Equations here :

https://brainly.com/question/17194269

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Answer:

$400

Step-by-step explanation:

Let the initial total cost be represented = $X.

Hence, for 20 family members

= $ x/20 each .......1

Now that they are 25 members

= $x/25 each.......2

Each in the original group which is equation 1 owed $4 less.

That is,

x/20 - 4 ........ 3

Now equate 2 and 3

X/20 - 4/1 = X/25

Taking the LCM of both sides

X-80/20 = X/25

Cross multiply both sides

25( x-80 ) = 20x

25x-2000 = 20x

Collecting like terms

25x-20x = 2000

5x = 2000

Divide through by 5

X = 2000/5

X = 400

The total cost for the catered meal is $400.

To check if it was correct

Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4

From equation 1

400/20 = $20

From equation 2

400/25 =$16

$20-$16 = $4

Thanks

Answer:

The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.

Step-by-step explanation:

Answer:

Domain = all real numbers

Range = y ≥ -4

Step-by-step explanation:

Domain is the x-values, and for parabolas it is almost always all real numbers.

Range is the y-values, and the lowest it gets is -4.

Answer:

a part of the population that represents the entire population

Step-by-step explanation:

Answer:

I think it is the second option

I hope it helps you  

Answer:

2•15k

Step-by-step explanation:

Answer:

2(15k)

Step-by-step explanation:

PLZZ GIVE BRAINLIEST

Answer:

Large number =52

small number =13

Step-by-step explanation:

4x + x =65

5x=65

x=13

4x=52

Answer:

2.25 or 2(1/4)

Step-by-step explanation:

Type into a calc :)

Answer:

x = 8

Step-by-step explanation:

You can set up the equation 6/4 = 12/x and then cross multiply to solve for x

Answer:

6 ft

Step-by-step explanation:

The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.

hope is helped!

Answer: i would say B because it makes the most sence

Step-by-step explanation:

Answer:

12 I believe

Step-by-step explanation:

[tex]12\sqrt{2}[/tex] x sin(45) = 12

I am pretty positive I am correct, I am sorry if I am off a little

Answer:

[tex]y=0.01(4)^x[/tex]

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

43 is the most the lowest number while the others are around the same range

Hope this helps! Pls mark brainliest!

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.

Answer: just simplify condense it then your answer will be log(16)

Answer:

(3x-2)(2x-3)

Step-by-step explanation:

Good luck!

Answer:

The axis of symmetry is x=3, the vertex of the graph is (3,-2)

Step-by-step explanation:

[tex]f(x)=(x^{2} -6x+9)-9+7[/tex]

[tex]=(x-3)^{2} -2[/tex]

Answer:

c=14.87

Step-by-step explanation:

use pythagorean theroem

10^2 + 11^2 =c^2

solve

100+121=c^2

c^2=221

c=14.87(rounded to nearest hundredths )

Answer: 59

Step-by-step explanation:

Given

2b³+5 and b=3 ⇒ 2b³+5=2(3)³+5

Simplify exponents

 2(3)³+5

=2(3×3×3)+5

=2×27+5

Multiplication

=54+5

Addition

=59

Hope this helps!! :)

Please let me know if you have any questions

Answer:

D. 23

Step-by-step explanation:

m-12-(11)=0

m-23 = 0

m = 23

Answer:

A

Step-by-step explanation:

Because That's The Main Idea

Answer:

3.84 feets

Step-by-step explanation:

Given that:

θ = 88°

Radius, r = 2.5

The length of section of the wire, L ; Length of an arc

L = θ / 360° * 2πr

L = 88/360 * 2*π*2.5

L = (88/360) * 15.707963

L = 3.8397

Length of section of wire = 3.84 feets

Answer:

86.6

Step-by-step explanation:

Add them all up and divide by how many scores

Answer:

90 degrees

Step-by-step explanation:

The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.

First, you need to solve for x:

S(x+10) + R(2x+60) + T(50+x) = 180

Add up all of the like terms:

10 + 60 + 50 = 120

x + 2x + x = 4x

So now you are left with 4x + 120 = 180

And solve for x:

4x/4 + 120/4 = 180/4

x + 30 = 45

x + 30-30 = 45-30

x = 15

Now that we have the value of x, plug it into the measure given for angle R:

(2x+60)

= (2(15)+60)

= (30 + 60)

= 90

So the measure of angle R is 90 degrees.

I hope this helped! :)

Answer:

90 toys

Step-by-step explanation:

We should use the same unit for time.  Rewrite 20 minutes as 1/3 hour.

The unit rate is then:

    3 toys         9 toys

----------------- = -----------

 1/3 hour          hour

Multiply this unit rate by 10 hours, obtaining 90 toys