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lozanna [386]
2 years ago
10

Justify each step. x/3-7=11 x/3=18 x=6

Mathematics
1 answer:
Nina [5.8K]2 years ago
8 0
This is the steps for equation solving for the value of x,
x/3-7 = 11
now 7 goes to the other side of equation by changing the sign from - to +,
x/3 = 11 + 7
x/3 = 18
now when we multiply both sides of equation with 3 or 3 goes to the other side of equation and multiply with 18 leaving x alone here for finding the value of x,
and we get, x = 54
at the end of equation we get x = 54, if the equation was in the form 3x - 7 = 11, then we will get x = 6
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Choose the correct answer. Two cars leave phoenix and travel along roads 90 degrees apart. If car 1 leaves 60 minutes earlier th
Alexxx [7]

Answer:

251.047804213 miles

Step-by-step explanation:

c1 t=3.5+1     speed 40 mph

c2 t=3.5       speed  50 mph

c1 40 *4.5= 180

c2 50 *3.5= 175

a^2+ b^2= c^2

180^2+175^2=c^2

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251.047804213=c

6 0
2 years ago
What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 E
ozzi

Answer:

4x + 6

Step-by-step explanation:

Given

\frac{x}{x^2+3x+2} + \frac{3}{x+1}

Before we can add the fractions we require them to have a common denominator.

Factor the denominator of the first fraction

\frac{x}{(x+1)(x+2)} + \frac{3}{x+1}

Multiply the numerator / denominator of the second fraction by (x + 2)

= \frac{x}{(x+1)(x+2)} + \frac{3(x+2)}{(x+1)(x+2)} ← fractions now have a common denominator

Add the numerators leaving the denominators

= \frac{x+3(x+2)}{(x+1)(x+2)}

= \frac{x+3x+6}{(x+1)(x+2)}

= \frac{4x+6}{(x+1)(x+2)} ← simplified sum with numerator 4x + 6

7 0
2 years ago
A bearing, measured at 1.234 inches with a caliper, must be replaced. Since the bearings are sized in 64ths of an inch, find the
Ganezh [65]
We have
1.234 in-----> 1+(0.234) in

we know that
1/64=0.015625
so
0.234/0.015625=14.98-----> 15
15/64-----> 0.234

therefore
1.234 in is equal to -----------> 1 15/64 in

the answer is
1 15/64 in
7 0
2 years ago
When we first learn arithmetic, we focus on working with whole numbers. Then, we extend our understanding to fractions and negat
Alexeev081 [22]

Answer:

Well, I don't think I can remember EVERY skill I was taught through the years but in Kindergarten we used Number Sense so we could accurately... also there's estimation and of course PEMDAS. I've also learned how to round up so that the solution is at least around those numbers if the skill is to be applied.

Step-by-step explanation:

I'm not sure if this'll help but go ahead and have it... just try and change it a bit so they don't get ya for plagirism

5 0
2 years ago
Lorena calculated the slope of the linear function that is represented by the table of values as shown. x y –10 15 –8 27 –6 39 –
Anvisha [2.4K]

She made a mistake when she subtracted x1 from x2.

Step-by-step explanation:

Step 1 :

a)

The formula used by Lorena to calculate the slope between 2 points is correct

So the statement given in option 1 is not the reason for her mistake

Step 2:

b)

She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope

Hence the statement in second option is not true

Step 3:

c)

While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.

Hence she has made a mistake in subtracting x1 from x2 and this statement is true

Step 4:

d)

She has not made any mistake in subtracting y1 from y2. Hence this statement is not true

4 0
2 years ago
Read 2 more answers
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