Answer:
27/10
Step-by-step explanation:
Answer:
I belive it would be 1/5. ;;;
Answer: 3x - 7
x = some input number
3x = triple the input
3x - 7 = difference of triple the input and 7
strings of lights you use is 14. How many of each type of light do you have?
Answer:
Step-by-step explanation:
Let the number of lights are short = s and long = l.
According to question we have:
Subtract 5 times the first equation from the second one to solve for l:
Find s:
Answer:
A good rule of thumb is 100 lights for every 1.5 feet of tree. However, if you love lights, you may want to double, or even triple, that amount.
Step-by-step explanation:
Just a guess because you gave no answer choices
Answer:
Tammy is currently 1, and Doris is 6 in 4 years, Tammy will be 5 and Doris will be 10
Step-by-step explanation:
T=D-5
1+4=5
6+4=10
Answer:
Step-by-step explanation:
the object is 12 ft, what is the height of the object if the shadow is 18 ft?
Answer:
8 ft
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant.
Change the equation to fit the variables: L = kH
Plug in the given length of the shadow and the height of the object, then solve for k:
L = kH
27 = k(12)
2.25 = k
So, the equation is L = 2.25H
Then, plug in 18 as L, and solve for H:
L = 2.25H
18 = 2.25H
8 = H
So, when the shadow is 18 feet, the height of the object is 8 ft
Using the concept of direct variation, we find that the constant of variation is 2.25. Subsequent substitution in the equation reveals that the object's height when the shadow is 18ft is 8ft.
The question involves the concept of direct variation in mathematics. In direct variation, two quantities increase or decrease together to keep their ratio constant. This concept is given by the equation Y = kX, where Y and X are the quantities and k is a constant.
In our situation, the length of the shadow (L) varies directly with the object's height (H), i.e., L = kt. We are given that L=27ft when H=12ft, we can find the constant k by solving the equation 27ft = k * 12ft. This will get us k = 27ft/12ft = 2.25.
Now, we can determine the object's height if the shadow is 18ft. By substituting the values into the equation, we get 18ft = k * H. Substituting the value of k (2.25) will yield H = 18ft /2.25 = 8ft. Hence, the object's height when the shadow is 18ft is 8ft.
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