Answer:
So the numbers are 12 and -3.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the numbers, the first one will be "x" and the second one will be "y". From the first sentence we know that the subtraction of the two numbers is equal to 15, so we have:
x - y = 15
Then the problem states that one-third of the sum of the number is equal to one quarter of the first number, so we have:
(1/3)*(x+y) = x/4
Since we now have two equations and two variables we can solve for x and y. From the first equation we have:
y = x - 15
Using this expression for the value of y in the second equation:
(1/3)*(x + x - 15) = x/4
(1/3)*(2*x - 15) = x/4
2*x - 15 = 3*x/4
2*x - 3*x/4 = 15
(8*x - 3*x)/4 = 15
5*x/4 = 15
5*x = 60
x = 60/5 = 12
y = x - 15 = 12 - 15 = -3
So the numbers are 12 and -3.
-18.5004901 that’s the answer! Hope this helps!
Answer:
1110 liters
Step-by-step explanation:
Let x = amount of 26% juice.
Amount of tomato juice:
740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice
x liters of 26% juice contains 0.26x liters of tomato juice
The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.
266.4 + 0.26x = 0.3(x + 740)
266.4 + 0.26x = 0.3x + 222
-0.04x = -44.4
x = 1110
Answer: 1110 liters
Answer:
111 square units.
Step-by-step explanation:
Find the overall rectangle's area. 8*15 = 120.
Find the missing triangle's area (which is half of a rectangle with hthe same dimensions). The dimensions (15 - 9 = 6 and 8 - 5 = 3). 6*3 = 18, divide by half to find the triangle's area. The missing triangle's area is 9 square units.
Subtract the missing triangle from the overal rectangle. 120 - 9 = 111 square units.
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Answer:
B C D
Step-by-step explanation:
if u sum up all three items u will get 6/6 which is one