10a) <u>x = 81</u> <u>y = 30.5</u>
Isolate y
2y + 20 = x
2y = x- 20
y = x/2 - 10
Plug in for y
4y - 6 + 64 + x = 180
4(x/2 - 10) - 6 + 64 + x = 180
4x/2 - 40 -6 + 64 + x = 180
4x/2 + 18 = 180
4x/2 = 162
4x = 324
x = 81
Plug in for x
2y + 20 = x
2y + 20 = 81
2y = 61
y = 30.5
10b) <u>x = 47</u>
Isolate x
4x -12 = 3x + 35
x - 12 = 35
x = 47
11)
2. definition of parallelogram
3. < ABD ≅ < BDC
4. < CBD ≅ <BDA
6. I'm not 100% sure what this one is but I think it has something to do with the line of symmetry.
Hope this helps! ;)
Answer:
5 is 2,1 and 6 is -1,3
Step-by-step explanation:
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Ok so when the divisor get larger, the quotient gets smaller.
For example, 15 ÷ 3 = 5. If we make the divisor larger, you can see the quotient get smaller. 15 ÷ 5 = 3.
The same thing goes for the other way around. If the divisor gets smaller, the quotient gets larger. Hope I helped!
Answer:
(1/4)x=2 1/2
Step-by-step explanation:
It is 2.5 gal. of water and 0.25 gal. of water per plant.
It could also be x=(1/4)/(2 1/2)
John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.
Let: b=cost of banana per pound and c=cost of cherries per pound
Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.
3c + 2b =$24.95
Equation 2: The cost of bananas is $6.50 less than a pound of cherries.
b= c - $6.50
We can substitute the second equation into the first one to solve for the cost of cherries per pound.
3c + (2)(c-$6.50)= $24.95
3c + 2c -$13.00 = $24.95
5c = $24.95 + $13.00
c = $7.59
Substituting the value of c to the second equation to solve for b.
b= $7.59 - $6.50 = $1.09
The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.
For more information regarding the system of equations, please refer to brainly.com/question/25976025.
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