Answer:
Elizabeth spent 17.5 hours and her sister spent 12.5 hours.
Step-by-step explanation:
Let x be the number of hours that Elizabeth shoveled and y be the number of hours that her sister shoveled.
Number of hours they shoveled = 30
So, x + y = 30 or
y = 30 - x
Jenna charged $12 per sidewalk.
So, her total earnings = 12x
Her sister charged $11 per sidewalk.
So, her total earnings = 11y.
Their total income = $347.50.
So, 12x + 11y = 347.5
Substitute y = 30 - x,
12x + 11(30 - x) = 347.5
12x + 330 - 11x = 347.5
x + 330 = 347.5
x = 347.5 - 330
x = 17.5 and
y = 30 - x = 30 - 17.5 = 12.5.
Hence, Elizabeth spent 17.5 hours and her sister spent 12.5 hours.
Answer: There should be 24 chocolates without nuts.
Step-by-step explanation:
32 divided by 4 is 8. 8 Chocolates will have nuts, and that leaves 24 without.
Answer:
17 in²
Step-by-step explanation:
area is equal to base multiplied to height by 2
base=3.23 in
height=5.12in
area of one triangle = 5.12 * 3.23/2
= 16.536/2
= 8.2688
these triangles are congruent so area of other triangle is also equal to 8.2688
total area= 2*8.2688
= 16.5376
round off
answer =17 in²
10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Step-by-step explanation:
Let x be the number of liters of 60% saline solution
Now we require 10 L of 30% saline solution.
Liter soln % liters saline %
30 % 10 0.3
60 % x 0.6
10 % 10-x 0.1
Now forming the algebraic equation,
0.6x + 0.1 (10-x) = 10 (0.3)
0.6x + 1 - 0.1 x = 3
0.5 x = 2
x = 4 ( 4 l of 60 % solution is required. So 10 % saline solution required is 10 - 4 = 6 L).
Hence, 10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Solution:
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Answer:
![x=-1\\x=2\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}](https://tex.z-dn.net/?f=x%3D-1%5C%5Cx%3D2%5C%5Cx%3D%5Cfrac%7B-4%2B%5Csqrt%5B%5D%7B6%7D%7D%7B5%7D%5C%5Cx%3D%5Cfrac%7B-4-%5Csqrt%5B%5D%7B6%7D%7D%7B5%7D)
<em>Hope this was helpful.</em>
