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2 years ago

Write this rate in its simplest form: $1200 in 50 days.

Mathematics

1 answer:

timama [110]2 years ago

7 0

Answer:

$24:1

Step-by-step explanation:

1200:50

1200/50

$24:1

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A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rat

Mandarinka [93]

Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c} \right)+c
\end{cases}
\\\\\\
8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c$

what's the speed of the boat? well, 5 + c = b.

6 0

2 years ago

What is the line of SYMMETRY for they PARABLLA who’s equation is y=3x2+24x-1?

Arada [10]

Answer

The line of symmetry x = -4

Step by step explanation

Here we have to use the formula.

The symmetry of a parabola x = -b/2a

Now compare the given equation y = 3x^2 + 24x -1 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"

Here a = 3 and b = 24. Now plug in these values in to the formula to find the line of symmetry.

x = -24/ 2(3)

x = -24/6

x = -4

Therefore, the line of symmetry x = -4.

Thank you.

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3 years ago

The graph of line p represents y =1/5 x-1 . If the slope of line p is multiplied by -10 to

Katarina [22]

Answer:

use desmos its a graphing caculator that gives you exaxt graphing answers

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2 years ago

How to multiply mixed fractions

morpeh [17]

Answer:

Step-by-step explanation:

Change each number to an improper fraction.

Simplify if possible.

Multiply the numerators and then the denominators.

Put answer in lowest terms.

Check to be sure the answer makes sense.

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3 years ago

A Scientist had a bottle that contains 56.6 mL of solution.She used 3.2 mL of the solution for an experiment.She poured half of

mario62 [17]

56.6 - 3.2 = 53.4
53.4 / 2 = 26.7
26.7 - 6 = 20.7ml
For the final answer she has 20.7ml of solution left.

Please mark as brainliest if you can

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3 years ago