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tresset_1 [31]
3 years ago
12

Simplify the expression-3(b-7)

Mathematics
2 answers:
oee [108]3 years ago
8 0
-3(b - 7)

Multiply -3 into the parenthesis.

= -3b + 21.
Slav-nsk [51]3 years ago
7 0
Multiply -3 to each term in the parentheses:
-3(b)= -3b
-3(-7)= 21
These are not like terms, so write them as an expression:
-3b + 21 or 21 - 3b
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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m
vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

\boxed{\boxed{y=2{x}+30}}

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

(0,30),(15,60),(30,90),(45,120)

Taking first two points i.e (0,30),(15,60), the line equation will be,

\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}

\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}

\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}

\Rightarrow 15(y-30)=30{x}

\Rightarrow y-30=2{x}

\Rightarrow y=2{x}+30

Putting the other two points i.e (30,90),(45,120) in the equation, they also satisfy the equation. That means they are also on the same line y=2{x}+30.

From the result, it is evident that P and G are linearly related.

3 0
3 years ago
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nlexa [21]
Well the answer would be 8 as the total sum would be 6 x (8) = 48
5 0
2 years ago
Help me solve this equation and show work <br><br> 11d + 17b = 95 <br> d + b = 7
sweet-ann [11.9K]

Answer:

{d,b}={4,3}

Step-by-step explanation:

[1]    11d + 17b = 95

  [2]    d + b = 7

Graphic Representation of the Equations :

   17b + 11d = 95        b + d = 7  

 

Solve by Substitution :

// Solve equation [2] for the variable  b

 [2]    b = -d + 7

// Plug this in for variable  b  in equation [1]

  [1]    11d + 17•(-d +7) = 95

  [1]    -6d = -24

// Solve equation [1] for the variable  d

  [1]    6d = 24

  [1]    d = 4

// By now we know this much :

   d = 4

   b = -d+7

// Use the  d  value to solve for  b

   b = -(4)+7 = 3

Solution :

{d,b} = {4,3}

4 0
2 years ago
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The measure of one of the acute angles in a right triangle is 59°.
Over [174]

Answer:

31*

Step-by-step explanation:

right triangle means 90* so 90*-59* = 31*

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To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial? What
Molodets [167]
Take half of the coefficient of x (which is 2/5) and square it:

[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04

Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,

x^2 + (2/5)x  = x^2 + (2/5)x + (1/5)^2 - (1/5)^2, or

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3 years ago
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