Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16
I hope your not that lost now.
Finding the range of a function y=f(x) is the same as finding all values that y could be. To do this, we can think of it this way: The range of f(x) is all the y-values where there is a number x with y=f(x).
Answer:
x = s/2
Step-by-step explanation:
● s states have joined the union in 1788
● half of s have joined in 1889
Let x be the number of states that have joined in 1889
● x = (1/2)× s
● x = s/2
Answer:
2/17
Step-by-step explanation:
Given, , to find the difference, first look for the common denominator of both fractions.
Common denominator of both fractions is 17.
Divide the common denominator by the denominator of each fraction, then multiply the result by its numerator and solve as follows:
The answer is 2/17
= 2/17
Answer:
Measure of minor angle JOG is
Step-by-step explanation:
Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.
.
Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle .
To calculate the central angle, use the arc length formula as follows.
Where is measured in radian.
Substituting the value,
Dividing both side by 120,
Reducing the fraction into lowest form by dividing numerator and denominator by 40.
Therefore value of central angle is , since angle is in radian
Now convert radian into degree by using following formula,
So multiplying with to convert it into degree.
Simplifying,
So to nearest tenth,