Answer:
83
Step-by-step explanation:
Let the number of robbers be x
If they share 6 rolls each, the tota rolls will be 6x and since they have five remainder, the overall total is then 6x+5
In case they share 7 rolls each, it means they have 7x rolls but here they will be less 8 rolls hence 7x-8 is the overall total.
Equating these two
7x-8=6x+5
Arranging similar terms
7x-6x=8+5
x=13
Therefore, the robbers are 13
The rolla they have will be
6(13)+5=83
Or
7(13)-8=83
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse
x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x
x^2+36=100 Square each individual term
x^2+=100+36 Subtract 36 from both sides
x^2=64 Combine like terms
sqrt(2)=sqrt(64) Take the square root of both sides
x = 8 Simplify the square root
So our answer is x = 8
The ladder touches the 8 feet mark on the wall.
Let b=height of building. By similar triangles we can say:
b/44.75=3.1/1.29
b=44.75*3.1/1.29
b≈107.54
b≈108 meters (to the nearest whole meter)
Answer:
2
Step-by-step explanation:
Well you should count with fingers, one finger and one finger, two fingers
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
