2 years ago

How many intersections are there of the graphs of the equations below? 1/2x + 5y = 6 3x + 30y = 36

1 answer:

7 0

The number of intersections of the graphs of the equations is the number of solutions of the system.

The system is:

(1/2)x + 5y = 6

3x + 30y = 36

If you multiply the first equation times 6 you get to:

6(x/2) + 6(5y) = 6(6)

=> 3x + 30y = 36

And that is the same second equation, that means that the system is indetermined.

Being the two equations the same, the two graphs are superposed.

So there are infinite intersections.

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Of the 240 sandwiches Joanna makes 20% are tuna sandwiches and 40% are jam sandwiches, and the rest are egg salad sandwiches.How

nikitadnepr [17]

240 = 100%
so 10% = 24 sandwiches
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96

the answer is 96 egg salad sandwiches

4 0

2 years ago

Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°

Lerok [7]

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is $sin\: x = cos 19^{\circ}$ , where 0°< x < 90°?

Solving:

$sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}$