- 4(1/2)x - (3/7) = (1/4)
- 4(1/2)x = (1/4) + (3/7)
- (9/2)x = (7+12)/28
-(9/2)x = 19/28
x = (19/28) * 2 / 9
x = (19/14) / 9
x = 19 / (14*9)
x = 19 / 126
Answer:
A. coefficients: 70, 12; variables: x, y.
B. 2 terms: 70x, 12y; separated by an addition symbol
C. 70x
Step-by-step explanation:
We will answer the questions in the context of this problem. In other problems, the meaning of "coefficient", "variable", and "term" may be different.
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A. The coefficients are the numbers; the variables are the letters. Then the coefficients are 70 and 12; the variables are x and y.
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B. Each product is a term. Terms are separated by the + sign. There are two terms in this expression, one on either side of the + sign. When an expression is written with no parentheses, the terms are separated by + or - signs. (Often, we think of the minus sign as being part of the coefficient of the term. Then we can say terms are separated by + signs. 10x + (-32y), for example.)
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C. When you match the coefficients to the numbers in the problem statement, you see that the number matching the earnings at the diner is $70 per shift. If we assume that x represents the number of shifts worked at the diner, then the term 70x will represent the total earned from the diner. It is the product of the earnings per shift and the number of shifts.
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Answer:
2000 litres
Step-by-step explanation:
find the volume
v =2m×1m×1 m
= 2 m3
1m3 =1000litres
2m3=????
<em>cross</em><em> </em><em>multiply</em><em> </em><u> </u><u> </u><u> </u>
<u>2m3</u><u> </u><u>×</u><u>1000litres</u>
<u> </u><u> </u><u> </u><u> </u><u>1m3</u>
<u>Ans</u><u> </u><u>=</u><u> </u><u>2000litres</u><u> </u>
Answer:
61.76 ft^2
Step-by-step explanation:
First find the area of the rectangle without the circle
A = l*w = 14*8 =112
Then find the area of the circle
The diameter is 8 so the radius is 8/2 =4
A = pi r^2 = 3.14 * 16 =50.24
The shaded region is the rectangle minus the circle
112-50.24 =61.76 ft^2
To solve a system of equation by elimination, the coefficients of the same variable of both equations must be equal. In this case, let's choose y.
In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:
2x - 7y = -34
Next, add the two solutions so that the y term is eliminated. The result is:
10x = 5
Then solve for x
x = 1/2
Substitute x to either of the solution to solve for y. The result is:
y = 5
