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LenKa [72]
2 years ago
6

The students at Barton academy are planning a fundraiser to give money to an organization in their community. They voted for whi

ch kind of organization they would like to support. Here are the results
Mathematics
1 answer:
Aneli [31]2 years ago
4 0
Shjdjdjfjfjfjfjfcggjcnfnfnfnnf
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If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3
Ghella [55]

Answer:

Joint variation says that:

if x \propto y and x \propto z

then the equation is in the form of:

x = kyz, where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

x=k(yz)           ......[1]

Solve for k;  

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

8=k(4 \cdot 9)

⇒8 = 36k

Divide both sides by 36 we have;

\frac{8}{3}=k

Simplify:

k = \frac{2}{9}

⇒x = \frac{2}{9}yz

to find z when x = 16 and y = 6

Substitute these value we have;

16 = \frac{2}{9} \cdot 6 \cdot z

⇒16 = \frac{12}{9}z

Multiply both sides by 9 we have;

144 = 12z

Divide both sides by 12 we have;

12 = z

or

z = 12

Therefore, the value of z is, 12

7 0
2 years ago
Read 2 more answers
Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.
Gwar [14]

Answer:

<h2>{5}</h2>

Step-by-step explanation:

A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}

8 0
2 years ago
Read 2 more answers
Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the s
grin007 [14]
The answer is 7 I’m pretty sure
6 0
2 years ago
Write the quadratic equation whose roots are six and -2 and who’s leading coefficient is 3 use the letter X to represent the var
Artist 52 [7]

Answer:

3X^{2} - 12X - 36 = 0

Step-by-step explanation:

6 and - 2 are the only two solutions to the required quadratic equation.

So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.

Therefore, the equation is  

(X - 6)(X + 2) = 0

⇒ X^{2} - 4X - 12 = 0

If the leading coefficient of the equation is 3 then we can write the equation as 3X^{2} - 12X - 36 = 0 (Answer)

6 0
2 years ago
HELP PLEASE !!!!!!!!!!!!
olganol [36]
30 dozen carnations.
20 dozen roses.
This means she spends 550, but makes 640. 
I hope this is right?
8 0
1 year ago
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