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Strike441 [17]
2 years ago
12

9. Jeremy has incorrectly simplified the expression below. Correct his mistake.

Mathematics
1 answer:
faltersainse [42]2 years ago
7 0
5(y + 7) - 29 - 2
= 5y + 35 - 27
= 5y + 8
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When an equation uses addition, the variable can be solved by the opposite process - subtraction.
Archy [21]
X+6=10
x+6-6=10-6 subtract 6 from both sides.
x=4
Hope this helps and please give brainliest!
4 0
3 years ago
A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3 hours less than B to fill the same pool.
iris [78.8K]

Answer:

Tap A 3hrs

Tap B 6hrs

Step-by-step explanation:

Let the volume of the swimming pool be Xm^3.

Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.

x/Ta= Ra

x/Tb= Rb

X/(Ra + Rb)= 2

Ta = Tb - 3

From equation 2:

X = 2( Ra + Rb)

Substituting the values of Ra and Rb Using the first set of equations

X = 2( x/Ta + x/Tb)

But Ta = Tb - 3

1/2 = 1/(Tb - 3)+ 1/Tb

0.5 = (Tb + Tb-3)/Tb(Tb - 3)

At this juncture let’s say Tb = y

0.5 = (2y - 3)/y(y - 3)

y(y-3 ) = 4y - 6

y^2 -3y - 4y + 6 = 0

y^2 -7y + 6= 0

Solving the quadratic equation, we get y =

y = Tb = 6hrs or 1hr

We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours

Now, we get Ta by Tb -3 = 6 - 3 = 3hrs

5 0
3 years ago
Is there an ordered pair that is a solution to BOTH of
Arte-miy333 [17]

Answer: The ordered pair is (2,3)

Step-by-step explanation:

To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:

x + 1 = -x + 5

The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.

Move the variables to one side and the numerical values to another:

x + x = 5 - 1.

Simplify.

2x = 4

Simplify.

x = 2.

Now, we got our x value, we can substitute it into our problem:

y = 2 + 1

y + -2 + 5

2 + 1 = - 2 + 5 = 3

Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).

6 0
3 years ago
Please give me the correct answer ​
Pachacha [2.7K]

Answer:

Step-by-step explanation:

jst

8 0
3 years ago
The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data ar
laiz [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
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