To do this you can do (pay) x (hours) to work out how much Johnny makes for example:
8.25 x 29.5 = 243.375$ so the answer is 243.375$
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer:
b=8d+9c+3
Step-by-step explanation:
Multiply:
1x3=3
Rewrite Equation:
b=8d+9c+3
Hence, the correct answer is b=8d+9c+3
For question 4 the Y needs to be by itself. So instead of it being x+2y>/-12 it would be y>/-6+x. You would have to subtract x on both sides and then divide 2 on both sides as well. whatever you do on one side, you have to do it on the other side. Hope this helps. After you redo all the equations, you graph them. If you need anymore help , let me know!
Answer:
![\sf \dfrac{203}{4108}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B203%7D%7B4108%7D)
As a decimal = 0.05 (nearest hundredth)
Step-by-step explanation:
![\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}](https://tex.z-dn.net/?f=%5Csf%20Probability%20%5C%20of%20%5C%20an%20%5C%20event%20%5C%20occurring%20%3D%20%5Cdfrac%7BNumber%20%5C%20of%20%5C%20ways%20%5C%20it%20%5C%20can%20%5C%20occur%7D%7BTotal%20%5C%20number%20%5C%20of%20%5C%20possible%20%5C%20outcomes%7D)
First pick:
![\sf \implies P(pink)=\dfrac{30}{80}](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20P%28pink%29%3D%5Cdfrac%7B30%7D%7B80%7D)
As the case is NOT replaced, second pick:
![\sf \implies P(pink)=\dfrac{30-1}{80-1}=\dfrac{29}{79}](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20P%28pink%29%3D%5Cdfrac%7B30-1%7D%7B80-1%7D%3D%5Cdfrac%7B29%7D%7B79%7D)
As the case is NOT replaced, third pick:
![\sf \implies P(pink)=\dfrac{29-1}{79-1}=\dfrac{28}{78}](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20P%28pink%29%3D%5Cdfrac%7B29-1%7D%7B79-1%7D%3D%5Cdfrac%7B28%7D%7B78%7D)
Therefore,
![\sf \implies P(pink \ and \ pink \ and \ pink)=\dfrac{30}{80} \times \dfrac{29}{79} \times \dfrac{28}{78}=\dfrac{203}{4108}](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20P%28pink%20%5C%20and%20%5C%20pink%20%5C%20and%20%5C%20pink%29%3D%5Cdfrac%7B30%7D%7B80%7D%20%5Ctimes%20%5Cdfrac%7B29%7D%7B79%7D%20%5Ctimes%20%5Cdfrac%7B28%7D%7B78%7D%3D%5Cdfrac%7B203%7D%7B4108%7D)
Answer as a decimal = 0.05 (nearest hundredth)