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Sonja [21]
3 years ago
15

96:120 simply To the least

Mathematics
1 answer:
lidiya [134]3 years ago
7 0

Answer:

4:5

Step-by-step explanation:

96:120

simplified:

divide both sides of colon by 24:

4:5

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4.9t+0.3=5.6t+0.72 I need help on my work lol
Whitepunk [10]

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this.  What is given to us to accomplish that goal is the expression 4.9t+0.3=5.6t+0.72.

Now that we have completed that step, we can move onto the next part which is actually solving the problem.  The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

<u>Subtract 4.9t from both sides</u>

  • 4.9t+0.3=5.6t+0.72
  • (4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72
  • 0.3=(5.6t-4.9t)+0.72
  • 0.3=(0.7t)+0.72

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

<u>Subtract 0.72 from both sides</u>

  • 0.3=0.7t+0.72
  • 0.3 - 0.72=0.7t+0.72 - 0.72
  • 0.3 - 0.72=0.7t
  • -0.42=0.7t

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

<u>Divide both sides by 0.7</u>

  • -0.42=0.7t
  • \frac{-0.42}{0.7}=\frac{0.7t}{0.7}
  • \frac{-0.42}{0.7}=t
  • -0.6=t

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

5 0
2 years ago
Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the
8_murik_8 [283]
So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t)  = 0.  Namely, what is "t" when h(t) is 0?

\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60&#10;\\\\\\&#10;0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0&#10;\\\\\\&#10;\begin{cases}&#10;2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\&#10;t-5=0\implies &\boxed{t=5}&#10;\end{cases}

clearly the seconds cannot be a negative unit, so is not -3/2.
6 0
3 years ago
The graph of f(x) is show below.
vlada-n [284]

ANSWER

(2,2)

EXPLANATION

Since f(x) and its inverse function are symmetric about the line y=x, if (a,b) lies on the graph of f, then (b,a) must lie on f inverse.

The point (2,2) lies on f and the same time on f inverse.

The solution is a point that satisfies both equations.

Hence the correct choice is:

(2,2)

5 0
4 years ago
Read 2 more answers
By what number should -4.125 be divided to get -5.5.​
kogti [31]

Answer: 0.75

Step-by-step explanation:

-4.125/-5.5 = 3/4 or 0.75

-4.125/0.75 = -5.5

6 0
3 years ago
What is 4k-14+3k=21​
BARSIC [14]

So here. I don't know how to explain so-

5 0
3 years ago
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