Answer:
See below in bold.
Step-by-step explanation:
You work in fractions of the city streets done per hour:
1/200 + 1/400 = 1 /x where x is the number of hours taken by 2 teams.
Multiply through by the LCM 400x:
2x + x = 400
3x = 400
x = 133.33 hours.
As there are 168 hours in a week they will have enough time.
Answer:
1/8 pound of trail mix in each bag.
Step-by-step explanation:
She divides it into bags
4 1/2 ÷ 4 = 1/2 x 1/4 = 1/8 pound
Answer:
if you make 4 free throws for every 10 shots taken you would make 20 out of 50 free throws
Step-by-step explanation:
Answer:
Yes 4:3
Step-by-step explanation:
To solve this, take the the inside number and subtract in from the outside number. Look at the question very carefully for this part...
Since it says the ratio of the outside number to the inside number, take that number and see how many times it can fit into the outside number. In this case, it is 4, and than for the inside number, it is 3.
Now do the same for the other measurement and see if it has the same ratio, and if it does, that is the answer.
Answer:
$13.00
Step-by-step explanation:
Let f represent the price per foot of pasture fence, and p represent the price per foot of picket fence. The two purchases can be written in equation form as ...
2000f + 450p = 12850
700f +300p = 6350
Using Cramer's rule, we can find the value of the picket fence as ...
p = (12850·700 -6350·2000)/(450·700 -300·2000) = -3705000/-285000
p = 13
The cost per foot of picket fence is $13.00.
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<em>Cramer's Rule and Vedic math</em>
The above equation for p is a summary of the math you would be doing if you were to solve the equations by eliminating f. Cramer formulates it in terms of determinants of the coefficients in the equations. Practitioners of Vedic math formulate it in terms of X-pattern combinations of the coefficients in much the same way as finding a determinant. For the equations ...
The solutions are ...
∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆ . . . . . this is the equation we used above
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If you do a rigorous comparison of this formula with that of Cramer's rule, you find the signs of numerator and denominator are reversed. That has no net effect on the solution, but it makes the X pattern of products easier to remember for practitioners of Vedic math.
