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GalinKa [24]
3 years ago
5

You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.

You have a budget of $300 for the shirts. Let x = the number of short sleeved shirts and let y = the number of long sleeve shirts.
Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order?
Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

15 long-sleeved shirts can be ordered.

Step-by-step explanation:

x = amount of short-sleeved.

y = amount of long-sleeved.

10x + 12y = 300

10(12) + 12y = 300

120 + 12y = 300

12y = 300 - 120

12y = 180

y = 180 / 12

y = 15

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Step-by-step explanation:

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The probability that a single radar station will detect an enemy plane is 0.65. (a) How many such stations are required to be 98
Inga [223]

Answer:

4 stations

Step-by-step explanation:

If we need to be at least 98% certain that an enemy plane flying over will be detected by at least one station, we must ensure that there is at most a 2% chance that no radar stations detect the plane.

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For n radar stations:

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3 years ago
Calculate the value of x in the equation 2x - 15 =5 - 3×
pshichka [43]

\bold{2x - 15 = 5 - 3x} \\  \bold{2x + 3x = 15  +  5} \\  \bold{5x =20 } \\  \bold{x =  \cancel{ \frac {20}{5} }} \\  \bold{x = 4}

Hope it helps

3 0
2 years ago
Read 2 more answers
Eliminate the parameter.<br><br><br>x = 5t, y = t + 8 (2 points)
maxonik [38]

Answer: y = \frac{1}{5}x + 8

Step-by-step explanation:

       This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.

     Given:

x = 5t

    Divide both sides of the equation by 5:

t = \frac{1}{5}x

     -

    Given:

y = t + 8

    Plug in:

y = (\frac{1}{5}x) + 8

    Answer:

y = \frac{1}{5}x + 8

8 0
2 years ago
Solve.
artcher [175]

Answer:

x=1

Step-by-step explanation:

you would substitute the first equation in for the y in the second equation

x + 2x+3 =6

then you would combine the x's

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Then you would move the 3 to the other side with the six

3x =6-3       3x = 3

Then finally you would divide the three

3x/3 = 3/3   x=1

6 0
3 years ago
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