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aksik [14]
3 years ago
14

Evaluate the expression 3a - 2ab if a= 4 and b= 6 please explain, thank you !

Mathematics
2 answers:
Murrr4er [49]3 years ago
6 0

Answer:

3a - 2ab if a= 4 and b= 6 = -36

-7x + 5 = 8x -25 solve for x = 2

Step-by-step explanation:

Evaluate 3 a - 2 a b where a = 4 and b = 6:

3 a - 2 a b = 3×4 - 2×4×6

3×4 = 12:

12 - 2×4×6

-2×4 = -8:

-8×6 + 12

-8×6 = -48:

-48 + 12

12 - 48 = -(48 - 12):

-(48 - 12)

| 4 | 8

- | 1 | 2

| 3 | 6:

Answer: -36

_________________________________________

Solve for x:

5 - 7 x = 8 x - 25

Subtract 8 x from both sides:

5 + (-7 x - 8 x) = (8 x - 8 x) - 25

-7 x - 8 x = -15 x:

-15 x + 5 = (8 x - 8 x) - 25

8 x - 8 x = 0:

5 - 15 x = -25

Subtract 5 from both sides:

(5 - 5) - 15 x = -5 - 25

5 - 5 = 0:

-15 x = -5 - 25

-5 - 25 = -30:

-15 x = -30

Divide both sides of -15 x = -30 by -15:

(-15 x)/(-15) = (-30)/(-15)

(-15)/(-15) = 1:

x = (-30)/(-15)

The gcd of -30 and -15 is -15, so (-30)/(-15) = (-15×2)/(-15×1) = (-15)/(-15)×2 = 2:

Answer: x = 2

Fofino [41]3 years ago
3 0

Answer: 6

Step-by-step explanation:

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Step-by-step explanation:

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sleet_krkn [62]

One way to check if 102 ÷ 6 = 17 is by focusing on the left side of the equation.


102 ÷ 6 can be converted into \frac{102}{6}


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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

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