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Strike441 [17]
3 years ago
14

1 Andre tried to solve the equation: 1/4(x+12)=2. What was his mistake.

Mathematics
2 answers:
svetoff [14.1K]3 years ago
3 0

Answer:

the correct answer is x=-4

Step-by-step explanation:

the mistake he made is writing 1/4x=-10 instead of 1/4x=-1

He should have wrote -1 instead of -10

aliya0001 [1]3 years ago
3 0

Answer:

1/4 x =2-3=-1

Step-by-step explanation:

In this line he made a mistake. He wrote -10 instead of -1

so x = -4

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Is the Square root of 127 rational or irrational
labwork [276]

Irrational, because there is no number multiplied by itself that will have an answer of 127


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Steve travels 2 times as fast as Jill. Traveling in opposite directions, they are 120 miles apart after 2.5 hours. Find their ra
Tcecarenko [31]

let's recall that d = rt, distance = rate * time.

we know that Steve is twice as fast as Jill, so say if Jill has a speed or rate of "r", then Steve is traveling at 2r fast, now we know they both in opposite directions have covered a total of 120 miles, so if Jill covered "d" miles then Steve covered 120 -d, check the picture below.

\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Jill&d&r&2.5\\ Steve&120-d&2r&2.5 \end{array}~\hfill \begin{cases} d=2.5r\\[2em] 120-d=5r \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{120-2.5r=5r\implies 120=7.5r}\implies \cfrac{120}{7.5}=r\implies \stackrel{Jill's}{16=r}~\hfill \stackrel{Steve's}{32}

6 0
2 years ago
I need help with this like I need someone to explain it to me
Elina [12.6K]

Answer:

c=5

Step-by-step explanation:

Sorry I did a problem just like this on my paper so im just gonna copy my work

Simplifying

2x + -5 = 2x + -1c

Reorder the terms:

-5 + 2x = 2x + -1c

Reorder the terms:

-5 + 2x = -1c + 2x

Add '-2x' to each side of the equation.

-5 + 2x + -2x = -1c + 2x + -2x

Combine like terms: 2x + -2x = 0

-5 + 0 = -1c + 2x + -2x

-5 = -1c + 2x + -2x

Combine like terms: 2x + -2x = 0

-5 = -1c + 0

-5 = -1c

Solving

-5 = -1c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'c' to each side of the equation.

-5 + c = -1c + c

Combine like terms: -1c + c = 0

-5 + c = 0

Add '5' to each side of the equation.

-5 + 5 + c = 0 + 5

Combine like terms: -5 + 5 = 0

0 + c = 0 + 5

c = 0 + 5

Combine like terms: 0 + 5 = 5

c = 5

Simplifying

c = 5

8 0
3 years ago
Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi.
Lady bird [3.3K]

Answer:

Step-by-step explanation:

The volume of a cone is

V=\frac{1}{3}\pi r^2h

Filling in what we have:

104.67=\frac{1}{3}(3.14)r^2(4)  and simplifying a bit:

104.67=\frac{1}{3}(12.56)r^2

Multiply both sides by 3 to get:

314.01=12.56r^2

Divide both sides by 12.56 to get:

25.00079618=r^2 and take the square root of both sides to find the radius:

r = 5

If the radius is 5 and the radius by definition is half the diameter, then the diameter is 10 inches.

7 0
3 years ago
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