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Tems11 [23]
3 years ago
10

If 4C + 3 = 15, what is the value of C?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
7 0
4C + 3 = 15
subtract 3 from both sides of the equation
4C = 12
divide 4 from both sides of the equation
C = 3
Soloha48 [4]3 years ago
4 0
4c+3=15
You need to get rid of the 3
So you minus it from each side so you
4c=12
12/4=3
So c =3
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Which identify could be used to rewrite the expression x6-27
hammer [34]
The differnce of 2 perfect cubes

remember
a³-b³=(a-b)(a²+ab+b²)

so
(x^2)^3-(3)^3=(x^2-3)(x^2+3x+9)
3 0
2 years ago
In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?
Ahat [919]

B

C

=

16.17

(

2

d

p

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Explanation:

In triangle ABC, side

A

C

=

15

, Angles are

∠

B

=

68

0

;

∠

C

=

24

0

and

∠

A

=

180

−

(

68

+

24

)

=

88

0

We know by sine law

A

C

sin

B

=

B

C

sin

A

or

15

sin

68

=

B

C

sin

88

or

B

C

=

15

⋅

sin

88

sin

68

=

16.17

(

2

d

p

)

c

m

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
The average of the weights of six people sitting in a boar is 145 pounds. After a seventh person gets into the boat, the average
Tems11 [23]
<u>Weight : </u>

<em>⇒ x for 6 people</em>
<em>⇒ y for the 7th person</em>

x/6=145 \\ (x+y)/6=147 \\  \\ x=145*6 \\ x=870 \\  \\ x+y=1029 \\  \\ 870+y=1029 \\ y=1029-870 \\ y=159

<u>The correct answer is B).</u>
5 0
2 years ago
Read 2 more answers
5x−6=3x+10 PLSPLS HELP
vichka [17]

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−6=3x+10

Step 1: Subtract 3x from both sides.

5x−6−3x=3x+10−3x

2x−6=10

Step 2: Add 6 to both sides.

2x−6+6=10+6

2x=16

Step 3: Divide both sides by 2.

2x /2 = 16/ 2

x=8

3 0
3 years ago
Read 2 more answers
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