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irga5000 [103]
3 years ago
15

You have $.80 in your backpackin dimes and quarters. Let x represent the number of dimes and y

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0

Answer:

$0.10x + $0.25y = $0.80

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What is the following sum?<br> 4(^5sqrtx^2y) + 3(^5sqrtx^2y)
Schach [20]

Answer:

option 3

Step-by-step explanation:

(4 + 3) \sqrt[5]{x {}^{2}y } = 7  \sqrt[5]{ {x}^{2}y }

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2 years ago
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Cual es el resultado de la operacion algebraica: 25x+12x+31x-8x+5x
Tema [17]

Answer:

65x

Step-by-step explanation:

Observe que estos son terminos similares... por lo que podemos simplemente sumarlos y restarlos. Entonces obtenemos:

25x + 12x + 31x - 8x + 5x

= 37x + 31x - 8x + 5x

= 68x - 8x + 5x

= 60x + 5x

= 65x

7 0
3 years ago
At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast i
Evgen [1.6K]
<span>The distance between the ships is changing at a rate of 21.393 km/h

</span><span>Step 1: First, you must draw an image to help better understand the problem 
</span>

The reason that ship A is moving -35km/h is because ship B acts as an "origin" and as things move closer to the "origin" they become negative and as things move away from the "origin" they become positive.

We know that the rate of Ship A is expressed as <span><span><span>dA</span><span>dt</span></span>=−35</span> and the rate of Ship B is expressed as <span><span><span>dB</span><span>dt</span></span>=25</span>

Step 2: We want to figure out how many km Ship A and Ship B traveled in 4 hours

<span>ShipA:−35<span><span>km</span>h</span>⋅4hr=−140km</span>

Now if we take this <span>−140km</span> and add it to the <span>150km</span> we can see that Ship A is now only <span>10km</span> away from where Ship B began

<span>ShipB:25<span><span>km</span>h</span>⋅4hr=100km</span>

This means that Ship B is now <span>100km</span> from where it originally started

We can now redraw our information

Step 3: We must use the Pythagorean Theorem to find the third side of the triangle

<span><span>x2</span>+<span>y2</span>=<span>z2</span>→<span>102</span>+<span>1002</span>=<span>z2</span></span>

<span>z=<span>√<span><span>102</span>+<span>1002</span></span></span></span>

Step 4: Now that we know z, we must differentiate the original equation in order to find the rate at which z in changing

<span><span>x2</span>+<span>y2</span>=<span>z2</span>→2x<span><span>dx</span><span>dt</span></span>+2y<span><span>dy</span><span>dt</span></span>=2z<span><span>dz</span><span>dt</span></span></span>

We can simplify by canceling out the 2's

<span>x<span><span>dx</span><span>dt</span></span>+y<span><span>dy</span><span>dt</span></span>=z<span><span>dz</span><span>dt</span></span></span>

Step 5: Write down all the information and then plug into equation

<span>x=10and<span><span>dx</span><span>dt</span></span>=−35</span>
<span>y=100and<span><span>dy</span><span>dt</span></span>=25</span>
<span>z=<span>√<span><span>102</span>+<span>1002</span></span></span>and<span><span>dz</span><span>dt</span></span>=?</span>

Now plug in the information

<span>x<span><span>dx</span><span>dt</span></span>+y<span><span>dy</span><span>dt</span></span>=z<span><span>dz</span><span>dt</span></span></span>

<span>10<span>(−35)</span>+100<span>(25)</span>=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>−350+2500=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>2150=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>21.393=<span><span>dz</span><span>dt</span></span></span>

The distance between the ships are increasing at a rate of 21.393 km/h

8 0
3 years ago
samantha has 20 marbles paul has m marbles. Of samantha has 6 times as many marbles as paul, write an equation to show how many
Morgarella [4.7K]

Answer:

20 = 6m  or  m = 20/6 = 10/3

Step-by-step explanation:

Let's say Samantha has s marbles and Paul has m marbles.

We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.

Substitute 20 in for s:

20 = 6m

m = 20/6

Thus, the equation is m = 20/6.

<em>~ an aesthetics lover</em>

7 0
3 years ago
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Copy and complete the table below to represent the amount of time it would take meredith to get to her friends house if she trav
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Use google...........
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