Answer:
1/59
Step-by-step explanation:
Answer:
x=8.94 ; y = 1.58; z=2.02
Step-by-step explanation:
solve 10x+4y+12z = 120 → 5x+2y+6z = 60
8x + 2y +32Z = 160 → 4x+y+16z = 80
To eliminate z multiply first equation by 16 and second equation by 6.
80x+32y+96z = 960
24x+6y+96z = 480
on subtractionwe get 56x+26y = 480
dividing by 2 we get, 28x + 13y = 240
Now we have a given equation 11x + 77y = 220 → x + 7y = 20
solving 28x + 13y = 240 and x + 7y = 20
28x + 13y =240
28x + 216y = 560
subtracting we get, 203y = 320
y = 1.58
x = 8.94
z = 2.02
Answer: 37, 38, and 39
Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.
3 consecutive integers can be represented as followed.
X ⇒ <em>first integer</em>
X + 1 ⇒ <em>second integer</em>
X + 2 ⇒ <em>third integer</em>
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Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.
X + X + 1 + X + 2 = 114
We can simplify on the left side by combining the X's and the numbers.
3x + 3 = 114
-3 -3 ← <em>subtract 3 from both sides of the equation</em>
3x = 111
÷3 ÷3 ← <em>divide both sides of the equation by 3</em>
<em> </em>X = 37
X ⇒ <em>first integer = 37</em>
X + 1 ⇒ <em>second integer = 38</em>
X + 2 ⇒ <em>third integer = 39</em>
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<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>
Let's say that the weight of the orange is x and the weight of the pineapple is y.
The weight of the pineapple is 7 times that of the orange, so
y = 7x.
Also, y = x + 870.
Therefore, 7x = x + 870.
If we take away x from both sides, we get 6x = 870
If we divide both sides by 6, we get x = 145.
Therefore, the weight of the orange is 145 g.
Also, 145 + 870 = 1015.
So the weight of the pineapple is 1015 g.
To convert grams into kilograms, they must be divided by 1000.
Therefore, the weight of the orange in kilograms is 145/1000 = 0.145 kg
And the weight of the pineapple is 1015/1000 = 1.015 kg.
Answers:
a. 145g for the orange and 1015g for the pineapple.
b. 0.145kg for the orange and 1.015kg for the pineapple.