Answer:
The value of y given the values of x and z in the question is -734.85
Step-by-step explanation:
This is a joint variation question.
First, we are made to know that y varies jointly as x and z.
The equation for this can be written as;
y = k * x * z
Where k is the constant of proportionality.
Let’s calculate k first.
117 = k * (-3) * (-11)
33k = 117
K = 117/33 = 3.55
Now, we proceed to get what y is when x = -9 and z = 23
Let’s plug these values into the initial equation written.
y = k * x * z
We use the value of k calculated above;
y = 3.55 * (-9) * (23) = -734.85
Answer:
Step-by-step explanation:
Add the amounts together:
Convert the whole number 1 into a fraction with denominator 4:
As all the denominators are the same, we can simply add the numerators:
Finally, convert the improper fraction into a mixed number:
Answer:
22.84, 5.83
Step-by-step explanation:
Pythagoras theorem states that: a^2+b^2=c^2
So, for red triangle, it will be: 9^2+21^2=b^2
81+441=b^2
522=b^2
square root of 522=b
22.84=b
For purple one,
3^2+5^2=a^2
9+25=a^2
34=a^2
square root of 34=a
5.83=a
Answer:
32.5%
Step-by-step explanation:
first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is
65*3=195
During those 195 miles the car used 1 gallon for every 30 miles which means it used 6.5 gallons of its tank
195/30=6.5
6.5 gallons is 32.5% of 20 gallons
6.5/20=0.325
0.325 * 100 = 32.5%
Y=-6 would be one equation
