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Irina18 [472]
4 years ago
15

Translate the following words into equations and Solve each equation 15 is equal to 8 more than a number

Mathematics
1 answer:
qwelly [4]4 years ago
6 0

Answer:

15=8+x

Step-by-step explanation:

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Find the equation of the line that passes through points (3,5) and (-6,2). Write the equation in slope intercept form.
andrezito [222]
1)  gradient of line = Δ y ÷ Δ x
                              = (5 -2) ÷ (3 - (-6))
                              = ¹/₃
   
     using the point-slope form (y-y₁) = m(x-x₁)
     using (3,5)
           (y - 5) = ¹/₃ (x -3)
             y - 5  = ¹/₃x - 1
        ⇒      <span>  y =   ¹/₃ x  + 4  [OPTION D]


</span>2)        y =  2x  +  5  .... (1)
<span>           </span>y = ¹/₂ x  + 6  .... (2)
       
         by substituting y in (1) for y in (2)

           2x  +  5 = ¹/₂ x  + 6 
                 ³/₂ x = 1
                      x = ²/₃

        by substituting found x (2)

            y = ¹/₂ (²/₃)  + 6
            y = ¹⁹/₃

∴ common point is (²/₃ , ¹⁹/₃)  thus answer is FALSE [OPTION B]


3) Yes [OPTION A]
     This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.

4) No [OPTION B]
       Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other.  Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.

6 0
3 years ago
1 of 5
GalinKa [24]

Answer:

y=2x-4

I think this is right

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ASAP!!!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!!
Montano1993 [528]
Plugging the values if x and y the last option is correct 
3x-y=4

7 0
4 years ago
A phone company charges a flat rate of $15 to make phone calls for a month.they charge $0.10 per minute for each call made.if th
Ne4ueva [31]

Answer:

450 minutes

Step-by-step explanation:

15 + 0.1x = 60

15 - 15 + 0.1x = 60 - 15

0.1x = 45

\frac{0.1x}{0.1} = \frac{45}{0.1}

x = 450

5 0
3 years ago
Read 2 more answers
Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes a
dmitriy555 [2]

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes already. How many more boxes must they sell to raise 180 dollars?

Answer: We are given:

The amount of money Tony's club get for every box they sell =1 \frac{1}{8} =1.125 dollar

They amount of money Tony's club has raised by selling 75 boxes is:

75 \times 1.125=84.375 dollars

The amount of money Tony's club is required to raise = 180 dollars

The remaining need to be raised is :

180-84.375=95.625 dollars

Therefore, the number of more boxes to be sold are:

\frac{95.625}{1.125}=85

Hence, 85 more boxes they must sell to raise 180 dollars

8 0
3 years ago
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