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ryzh [129]
3 years ago
14

How do you solve for x in a math question like this 5+4x=54-3x?

Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0
Let's solve your equation step-by-step.
5
+
4
x
=
54
−
3
x
Step 1: Simplify both sides of the equation.
5
+
4
x
=
54
−
3
x
5
+
4
x
=
54
+
−
3
x
4
x
+
5
=
−
3
x
+
54
Step 2: Add 3x to both sides.
4
x
+
5
+
3
x
=
−
3
x
+
54
+
3
x
7
x
+
5
=
54
Step 3: Subtract 5 from both sides.
7
x
+
5
−
5
=
54
−
5
7
x
=
49
Step 4: Divide both sides by 7.
7
x
7
=
49
7
x
=
7
Answer:
x
=
7
Bas_tet [7]3 years ago
6 0

To solve for x, first you need to isolate all x terms on the same side so:

you start with 5 + 4x = 54 - 3x

subtract 5 from both sides to get 5 onto the left side

now you should have 4x = 49 - 3x

now add 3x to both sides to get 3x onto the right side

now you should have 7x = 49

now that you have your x on one side you can solve this like a regular one step equation and divide both sides by 7

this leads you to your answer of x = 7

hope this helps!

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A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
3 years ago
If Sue runs one mile every 7 minutes, and this relationship is graphed, which ordered pair would not be on the graph?
Free_Kalibri [48]
I don’t know this one
4 0
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What is cos P?  Right triangle PQR with a short leg measuring 5, a long leg measuring 12, and the hypotenuse as 13
OLga [1]
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Look at picture at the result.

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3 0
3 years ago
WHOEVER ANSWERS FIRST GETS BRAINLIEST AND 100 POINTS <br> 0.1*√20000<br> -0.05*√28800
____ [38]

Answer:

0.1*√20000 = 14.1421356237

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Step-by-step explanation:

8 0
3 years ago
A circle with a radius of 15.4 meters. Which statements are true about the circle shown? Check all that apply. The diameter of t
Dafna1 [17]

Step-by-step explanation:

the diameter of a circle is simply 2×radius.

2×15.4 = 30.8 m

the diameter is 30.8 m is true.

the circumference of a circle is

2×pi×radius

2×pi×15.4 = 30.8×pi m

the circumference is 30.8pi m is true.

therefore, the circumference can be found using

2(pi)(15.4)

is true.

now, doing the pi multiplication :

30.8 × pi = 96.76105373... m

the approximate circumference is 96.7 m is true.

6 diameters would be

30.8×6 = 184.8 m

that is much longer than the circumference.

so, more than 6 diameters could be wrapped around the circle is false, if we understand it that this is supposed to wrap the circle once without any overhanging remainder.

5 0
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