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tamaranim1 [39]
1 year ago
15

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x

= 3x + 15 – 11 3x – 4 = 3x + 4
Mathematics
2 answers:
OLga [1]1 year ago
4 0

Solving an equation means finding the value of x which will make the equation true.

We need to undo whatever is done to x to get it by itself.

4(x-1)-x = 3(x + 5)-11\\Distributing \; 4 \; and \; 3 \; in \; right \; and \; left \; side \; of \; the \; equation\\\\ 4x-4-x=3x+15-11\\Combine \; like \; terms\\\\3x-4=3x+4\\Subtract \; 3x \; on \; both \; sides\\\\3x-3x-4=3x-3x+4\\ Combine \; like \; terms\\\\-4=4

Conclusion:

Since we end up with an equation which is not TRUE, there is NO solution for this equation. If we graph both the equations, they will end up as a parallel lines which will never meet.

Fiesta28 [93]1 year ago
4 0

Answer:

<u><em>The answer is</em></u>: <u>This equation has no solution.</u>

<u />

Step-by-step explanation:

4 (x - 1) - x = 3 (x + 5) - 11, the steps to follow to solve this equation would be: 4x - 4 - x = 3x + 15 - 11; 3x - 4 = 3x + 4. So far so good, but if we want to continue clearing, the x will disappear, therefore this equation has no solution, because there is no value for x that would be the unknown, and the values 4 and - 4 represented graphically, would be two parallel lines, which would therefore never come together.

<u><em>The answer is</em></u>: <u>This equation has no solution.</u>

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A 4/7 inch pipe is to be shortened to 3/8 inch. How much must be removed?
11Alexandr11 [23.1K]

11/56 inches or 0.196 inches must be removed.

The pipe measures 4/7 inches but needs to be reduced to 3/8 inches.

In order to find out the inches to be removed, you must subtract the length that the pipe should be from the length that it currently is.

<em>Length to be removed = 4/7 - 3/8</em>

You need a common denominator so find the lowest common factor of both denominators:

= 56

In the shared fraction, multiply the numerator by the number you get when you divide 56 by the denominator.

= 56/7 = 8                                      8 x 4 = 32

= 56 / 8 = 7                                    7 x 3 = 21

= (32 - 21) / 56

= 11 / 56 inches

= 0.196 inches

In conclusion, 11/56 inches must be removed to get the pipe to 3/8 inches

<em>Find out more at brainly.com/question/4681199.</em>

6 0
1 year ago
Last Saturday, there were 1486 people at the Cineplex. There were about the same number of people in each of the 6 theaters. Bet
grigory [225]
<span>247 and 248 I.e. 247 in two thetheatres and 248 in the other 4. Hence 1486</span>
5 0
2 years ago
A shipping company borrows $70 million at 5% p.a. compound interest to build a new cruise ship. If it repays the debt after 3 ye
dem82 [27]

Answer:

about 11.03 million

Step-by-step explanation:

Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):

Substitute the values given:

I = 70,000,000(1 + 5/100)^3 - 70,000,000

Use a calculator to solve and you will get ~11.03 million.

5 0
2 years ago
The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social me
Rashid [163]

Answer: The proportion of students spending at least 2 hours on social media equals 0.7257 .

Step-by-step explanation:

Given : The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social media.

The distribution of time on social media is known to be Normal.

Let x be the number of minutes spent on social media.

Then, the probability that students spending at least 2 hours (2 hours = 120 minutes as 1 hour = 60 minutes) on social media would be:

P(x\geq120)=1-P(x

Hence, the proportion of students spending at least 2 hours on social media equals 0.7257 .

4 0
2 years ago
Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi
timama [110]

Answer:

(a)The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Therefore, the length of the fence is  97\frac{1}{2}$ feet

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet

Similarly:

x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet

The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Length of the Fence

The fence is rectangular shaped with:

Length = 31\frac{1}{2}$ feet

Width = 17 \frac{1}{4}$ feet

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet

8 0
2 years ago
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