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klio [65]
3 years ago
9

sam and jake live 8 km from each other, Sam skateboards 10 km in the same time as jake rides his bike 15 km. if they both leave

home at the same time an travel towards each other how far from jakes home will they meet ?
Mathematics
1 answer:
lesya [120]3 years ago
5 0
10 km from jakes home
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Harry and Gwen ride in a bicycle race. Harry clocks 102.62 meters per minute, and Gwen clocks 101.94 meters per minute. What is
Kisachek [45]
The difference is 0.68 meters per minute. 102.62-101.94=0.68
4 0
3 years ago
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Please help, i’ll give brainiest answer :)<br> [Image]
anygoal [31]

Answer: 20

<u>Step-by-step explanation:</u>

  • Step 1: Find the vertices (intersections) of the constraints by either graphing or solving the system of equations. I graphed them and found two of the vertices: (0, 1) and (4,0) but needed to solve the system to find the third vertex (point of intersection).

-x + 3 = \frac{1}{3}x + 1

<u>+x   -1 </u>   <u>   +x  -1 </u>

      2 = \frac{4}{3}x

  (3)2 = (3)\frac{4}{3}x

      6 = 4x

  <u>  ÷4 </u>   <u>÷4 </u>

     \frac{3}{2} =  x

y = \frac{1}{3}x + 1

  = \frac{1}{3}(\frac{3}{2)} + 1

  =  \frac{1}{2} + 1

   = \frac{3}{2}x

Third vertex is at (\frac{3}{2},\frac{3}{2)}

  • Step 2: Input the vertices into the objective function: C = 5x - 4y

(0, 1): C = 5(0) - 4(1)

            =   0   -  4

            =      -4

(\frac{3}{2},\frac{3}{2)}: C = 5(\frac{3}{2}) - 4(\frac{3}{2})

            = \frac{15}{2} - \frac{12}{2}

            =      \frac{3}{2}

            =      1.5

(4, 0): C = 5(4) - 4(0)

            =  20   -  0

            =      20

  • Step 3: Evaluate the answers above to find the maximum: <em>20</em>

5 0
3 years ago
2) Find the angle measures of a triangle if the first angle is thirty-one degrees more than
Charra [1.4K]

Answer:

4x+88=180

First angle is 54°

Second angle is 23°

Third angle is 103°

Step-by-step explanation:

Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57

All angles in a triangle add upto 180°

31+x+x+2x+57 = 180

4x+88=180

Subtract 88 from both sides,

4x = 92

Divide by 4,

x = 23°

31+x = 54°

2x+57 = 2*23 + 57 = 46+57 = 103°

4 0
3 years ago
A sport goods store is having a closeout on a certain style of running shoes.They are marked 55% off the regular price. The regu
Serhud [2]

Answer:

The discount would be $43.97 for a new price of $35.98

Step-by-step explanation:

To find this, start by calculating out the discount. You can do this by multiplying the original price by the discount percentage.

$79.95 * 55% = $43.97

Now that we have the discount amount, we can subtract it from the original price to get the new sale price.

$79.95 - $43.97 = $35.98

3 0
3 years ago
What is the solution to the inequality 3-|4-n|&gt;1? no solution all real numbers n &gt; 2 or n &lt; 6 2 &lt; n &lt; 6
Ket [755]
3-|4-n|>1
3-3 -|4-n| > 1-3
-|4-n| > -2
-|4-n|/-1 > -2/-1
|4-n| < 2
**inequality flips when dividing by a negative, absolute values give 2 answers
4-n <2
or
4-n >-2
n > 2. or. n < 6
2 < n < 6
4 0
3 years ago
Read 2 more answers
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