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ivanzaharov [21]
2 years ago
12

How do i solve and graph 3/4x + 8 < 41 on a number line

Mathematics
1 answer:
Tema [17]2 years ago
3 0

Answer:

get the inequality first ! x<44

Step-by-step explanation:

3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )

3/4x<33 ( multiply both sides by 4/3)

3/4 ×4/3 = 1

33×33 =44

x<44

and to graph it your line should have a open circle on 44 and point to the left.

kinda like this:

<—————○

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HELP!! I'm not sure what goes in the blank.
natta225 [31]

Answer:

10sin^{2} (β)

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10sin^{2} (β) on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10sin^{2} (β).

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10sin^{2} (β) cos(β)

But since cos(β) is already present, we can see that the answer is 10sin^{2} (β)

4 0
2 years ago
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale fo
Pavel [41]

Well, to see if she can afford the skateboard, start by finding the discount and then finding the sales tax of that.

To find the discount, first find 15% of $139.99 and then subtract it since that's how much you're getting off.

<em>Remember: </em><em>to find percentage, convert the percentage into a decimal by dividing it by 100, and then multiplying it by what you're finding a percentage of. </em>

15% ÷ 100 = 0.15

$139.99 x 0.15 = 20.9985, which can be rounded up to $21.

$139.99 - 21 = 118.99.

Now that we have the discount, we find the sales tax, which can be found the same way as the discount, but we add it to the total instead fo subtracting it.

7% ÷  100 = 0.07

0.07 x 118.99 8.3293 or  $8.33

118.99 + 8.33 = 127.32

<em>This is the final total of how much the skateboard would cost.</em>

So:

No, she would not have enough money to buy the skateboard. With the discount alone, she could afford it, since $118 falls in her budget range, but with the added tax, it's 13 dollars over and she cannot afford the skateboard.

5 0
3 years ago
24 is 40% of what number? please show me the steps also.
ella [17]
Answer:

1) 24 is <span>40%</span> of 60

<span><span>2) (.4)100x</span>=24</span>

<span><span>3) 25</span>x=24</span>

<span><span>4) 25</span>x⋅5=24⋅5</span>

<span>5) 2x=120</span>

<span><span><span>6) 2x/</span>2</span>=<span>120/2</span></span>

<span>7) x=<span>60</span></span>

4 0
2 years ago
20% of what number is 80?<br><br><br> I need the right answer, this is my last shot of passing.
LekaFEV [45]
100%/x%=80/20 (100/x)*x=(80/20)*x - we multiply both sides of the equation by x 100=4*x - we divide both sides of the equation by (4) to get x 100/4=x 25=x x=25
5 0
3 years ago
Read 2 more answers
Consider functions f and g.
nikklg [1K]

Answer:

C. 1

Step-by-step explanation:

Looking to the Venn's diagram, we can realize that g(1) = 0

If g(1) = 0, you just need to put 0 in place of x in f(x), so we have:

f(0) = 3√0 + 1

f(0) = 3•0 + 1

f(0) = 1

7 0
2 years ago
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