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kow [346]
3 years ago
6

Solve for x. Then check your solution

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
5 0
I got x=-3.
Simplify both sides of the equation, then Isolate the variable.
Hope this helps! :D
GrogVix [38]3 years ago
5 0
Multiply all terms by 6 to eliminate fractions
3x+24= -4x+3

Add 4x to both sides
7x+24=3

Subtract 24 from both sides
7x=-21

Divide both sides by 7
x=-3

Final answer: x=-3

Check:
1/2(-3)+4=-2/3(-3)+1/2
-1.5+4= 2+0.5
2.5=2.5
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You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c
goldfiish [28.3K]
Answer: 9 inches

Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).

Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches
4 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
zavuch27 [327]

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

  • x = first page, some positive whole number
  • x+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

8 0
2 years ago
Twice the difference of a number + -3 is 4 find the number
NNADVOKAT [17]

Answer:

The number is 5

Step-by-step explanation:

If we need to find the hidden number, Which for simplicity's sake we will denote as "n", lets first write out the equation.

"2 x [n + (-3)] = 4"

We can work through this problem backwards. if we need two times the sum of "n" and (-3) to get to 4, the only number that can be multiplied by 2 to get a product of 4 is 2, so "n" + (-3) must equal 2. so, From here, we can figure out that since 5 + (-3) equals 2, "n" Must equal 5. so, if we plug in 5 for "n" the equation looks like this:

"2 x [5 + (-3)] = 4"

So, since the equation makes sense, the answer is, "n = 5"

7 0
3 years ago
An object is dropped from a building and allowed to freefall to the ground. The height of the object over time is shown in the t
VikaD [51]

the correct answer will be D

8 0
3 years ago
Read 2 more answers
Evaluate -1-3-(-9)+(-5)
babunello [35]

To evaluate this expression, we need to remember that subtracting a negative number is the same as adding a positive number, and that adding a negative number is the same as subtracting a positive number. Using this knowledge, let's begin to simplify the expression below:

-1 - 3 - (-9) + (-5)

Because addition of a negative number is the same as subtraction of a positive number, we can change + (-5) to -5, as shown below:

-1 - 3 - (-9) - 5

Next, because we know that subtracting a negative number is the same as adding a positive number, we can change - (-9) to + 9, as shown below:

-1 - 3 + 9 - 5

Now, we can subtract the first two terms and begin to evaluate our expression:

-4 + 9 - 5

Next, we can add the first two numbers of the expression:

5 - 5

Now, we can subtract our last two numbers, which gives us our answer:

0

Therefore, your answer is 0.

Hope this helps!

3 0
3 years ago
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