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4 years ago

Solve (x + 1 < 4) ∩ (x - 8 > -7).

Mathematics

1 answer:

8_murik_8 [283]4 years ago

6 0

Answer:

(1,3)

1<x<3

Step-by-step explanation:

x + 1 < 4

x < 4 - 1

x < 3

x - 8 > - 7

x > - 7 + 8

x > 1

Intersection: *look at the picture*

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3 years ago

Please help and explain. The question is in the picture below.

Murrr4er [49]

Answer:

D and yes

Step-by-step explanation:

$\frac{x}{4}$ + 1 = -3 If we multiply both sides of the equation by 4 will will get the second equation

(4) $\frac{x}{4}$ + (4) 1 = (4) -3

x + 4 = -12 We solve this for x by subtracting 4 from both sides.

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Plug -7 into both equations and you will see that it is a solution

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7 0

2 years ago

At what time is the cake done

svp [43]

<h2>Explanation:</h2>

Here we know that at 3:17 pm you started to bake the cake. The total revolution the minute hand on the clock makes is:

$\frac{5}{8}+\frac{13}{24}=\frac{7}{6} \ revolutions$

We know that:

$1 \ revolution ----------- 60min \\ \\ 7/6 \ revolutions -----------x$

Solving for x:

$x=\frac{7}{6}\times 60=70 minutes$

So it takes 70 minutes after you put the cake in the oven. But:

$70minutes=1h \ 10min$

Adding this to the initial time:

$3:17pm+1h \ 10min=4:27pm$

Finally, the cake is done at 4:27 pm, option C.

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