Answer:
7 years
Step-by-step explanation:
Suri's age=17 years
Her cousin's age =c
Suri's age is 4 less than 3 times her cousin's age
4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age
17=3c - 4
Find c which is her cousin's age
Add 4 to both sides
17+4=3c - 4 + 4
17+4=3c
21=3c
Divide both sides by 3
21/3=3c/3
7=c
Therefore,
C= 7
Her cousin's age = 7 years
Answer:
0.25
Step-by-step explanation:
formula is y2-y1 / x2-x1
-1.5 - (-3) / 0 - (-6)
-1.5 - (-3) = 1.5
0 - (-6) = 6
1.5 / 6 = 0.25
Answer:
Circumference of Circle B=19.625cm
Step-by-step explanation:
The circumference formula is: 2pie(r) = pie(d)
We have diameter of the first circle which is 6. Now, because the diameter of second circle is 25% greater than this,
Hence, we add 25% in 6:
6+25/100 =6+0.25=6.25 cm
Therefore, we have diameter of 6.25 for circle B.
Now, we need to find the circumference of the Circle A.
circumference= pie(d) = pie(6)= 3.14times6= 18.84
Now use the proportional reasoning to find Circumference of Circle B:
circumference of Circle A/diameter Circle A = circumference of Circle B/diameter Circle B
18.84/6=circumference of Circle B/6.25
Cross multiply and divide:
(18.84times6.25)/6 = Circumference of Circle B
Solve:
Circumference of Circle B=19.625cm
Hope this helps!
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Answer:
3x-x+2=4
Step-by-step explanation:
The domain of f(x)=2^x would be the x values. This would include all values that you can input as x in order to make this problem work. The domain of a function is usually all real numbers. The range of f(x)=2^x would be the y values. This would include all values that would be the output for the y value. An example of this would be if you used 2 as x then the function would read f(x)=2^2. The y would equal 4 which would be included in the range of this function. To find the domain and range of the inverse you would follow the proper steps to get the inverse of the function which would be x=2^y. The domain would be the x values and the range would be the y values. If you put 4 as x which would be your input for the domain you would get 2^4 = 16 for the y which would be the range.
1/3(x)=22-x
x/3=22-x
(x/3=22-x)3
3x=66-3x
6x=66
x=11