Answer:
A
Step-by-step explanation:
Joint variation is given by:
![y=kxz](https://tex.z-dn.net/?f=y%3Dkxz)
Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:
![360=k(4)(10)](https://tex.z-dn.net/?f=360%3Dk%284%29%2810%29)
Solving for k:
![40k=360\Rightarrow k=9](https://tex.z-dn.net/?f=40k%3D360%5CRightarrow%20k%3D9)
Therefore, our equation is:
![y=9xz](https://tex.z-dn.net/?f=y%3D9xz)
Then when x = 5 and z = 12:
![y=9(5)(12)=540](https://tex.z-dn.net/?f=y%3D9%285%29%2812%29%3D540)
The answer is A.
Answer:
19 times t = how many toy cars Gordon has.
OR
19t= how many toy cars Gordon has
In the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.
Hope this helps!
Answer:
6x + 1
3x + 3
6x + 9
Step-by-step explanation:
1)
To find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.
2x + 9 + 3x + x = _x +_
6x + 9 = _x + _
6x + 9 = 6x + 1
2)
To find the missing number, compare both sides of the equation. If the variable terms are the different and the constant terms are either different or same, then the equation has one solution.
2x + 9 + 3x + x = _x + _
6x + 9 = _x + _
6x + 9 = 3x + 3
3)
When equation is true for every possible value of x.
To find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are same, then the equation has no solutions.
2x + 9 + 3x + x = _x + _
6x + 9 = _x + _
6x + 9 = 6x + 9
6x = 6x +9 -9
6x = 6x
6x/6 = x
x = x
Answer:
<u>1.14 m²</u>
Step-by-step explanation:
- Area (shaded) = Area (quarter circle) - Area (triangle)
- Area (shaded) = πr²/4 - 1/2r²
- Area (shaded) = 3.14 x 4 / 4 - 1/2 x 4
- Area (shaded) = 3.14 - 2
- Area (shaded) = <u>1.14 m²</u>