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harina [27]
3 years ago
6

Please show work thank you

Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0

Answer: 70 mph

Step-by-step explanation:

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Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left
Mandarinka [93]

Answer: y=8x-25

Step-by-step explanation:

Given

Line passes through (3,-1)\ \text{ and}\ (4,7)

Equation of line when it passes through two points (x_1,y_1),(x_2,y_2)

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

Insert the values

\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25  

8 0
3 years ago
Tiffany is 140 miles away from Maggie. They are traveling towards each other. If Maggie travels 5 mph faster than Tiffany and th
8090 [49]

Answer: Tiffany 15mph, Maggie 20mph

Step-by-step explanation:

Set up the equation 4((x+5) + x) = 140. x+5 represents how many miles Maggie covered in one hour. x represents how much Tiffany traveled in one hour. 140 is the number of miles in total. 4 is the number of hours in total.

Simplify the equation.

(x+5) + x = 35    Divide both sides by 4

2x+5 = 35         Combine like terms

2x = 30              Subtract 5 from both sides

x = 15                 Divide both sides by 2

Tiffany traveled 15mph, while Maggie traveled 15+5=20mph.

3 0
3 years ago
A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up
disa [49]

Answer:

Therefore the maximum number of video games that we can purchase  

is 6.

Step-by-step explanation:

i) Let us say the number of video game system we can buy that costs $185

 is x and the number of video games of cost $14.95 is y.

ii) The total amount we can spend on the purchase of the video game

   system is $280.

iii) Now with the amount of $280 mentioned in ii) we can see that the

   number  of game systems that can be bought is 1.

 Therefore x = 1.

 Therefore the equation we can write to equate the number of video

  games  and video game system is given by $185 + $14.95 × y ≤ 280

  Therefore 14.95 × y ≤ 280 - 185 = 95

  Therefore y ≤   95 ÷ 14.95 = 6.355

  Therefore the maximum number of video games that we can purchase  

   is 6.

5 0
3 years ago
Gia bought a pound of cheese and used 1/4 of it. She split the rest into 5 equal portions for lunch during the week. Which expre
Reptile [31]
Gia already used 1/4. 3/4 divided by 5 = 3/20
7 0
3 years ago
A puppy’s circular water bowl has a radius of 14 cm. Identify the two true statements.
avanturin [10]

Answer:

the diameter is 28 centimeters and the area is 97.4 centimeters

Step-by-step explanation:

the diameter is just the radius plus the radius so its 28

and i just solved for the area and got 97.4

6 0
3 years ago
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