Z=-3 is the correct answer. Use math papa if you need help with the steps on how we got z=-3
Let's assign a variable x to the number of multiples for each pound of dry mix and water. With that being the said, the question for finding the total pounds would be:
Total pounds = x*Pounds of dry mix + x*Pounds of water
Total pounds = 60x + 8x = 68x = 14 + 1/6 = 85/6
x = 85/6 / 68
x = 5/24
Thus, the pounds of dry mix is 60*5/24 = 25/2 lbs, while the pounds of water is 8*5/24 = 5/3 pounds.
This is a equation of a ellipse (0,0) centered
Domais: {x∈R/-3≤x≤3}
Range:{y∈R/-2≤y≤2}
Answer:
144 children and 170 adults
Step-by-step explanation:
make 2 equations
make :
the children as the regarded as the variable : x
the adults are the regarded as the variable : y
<em>5x + 6 y = 1740</em>
<em>x + y = 314</em>
<h3><u>solve this by the method of elimination </u></h3>
5x + 6y = 1740
5(x + y = 314)
= 5x + 5y = 1570
5x + 6y = 1740
5x + 5y = 1570
the 5x is cancelled out
6y - 5y = 1740 - 1570
y = 170
now replace the value of y in the eqaution
5x + 6 (170) = 1740
5x =720
x = 144
hence they were 144 children and 170 adults
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The expression equivalent to the expression -90 - 60w is -30(3 + 2w), (-9 - 6w)10 and -20(4.5 + 3w)
We need to find the expressions that are equivalent to given expression
We solve the expression and check,
A) -30(3 + 2w)
-90 - 60w
Yes it is equivalent.
B) (-9 - 6w)10
-90 - 60w
Yes it is equivalent.
C) -3(30 - 20w)
-90 + 60w
No it is not equivalent.
D)(6 + 4w)15
90 + 60w
No it is not equivalent.
E) -20(4.5 + 3w)
-90 - 60w
Yes it is equivalent.
Therefore, The expression equivalent to the expression -90 - 60w is -30(3 + 2w), (-9 - 6w)10 and -20(4.5 + 3w)
To learn more about multiplication refer here
brainly.com/question/10873737
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