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marusya05 [52]
2 years ago
7

you are planning to purchase displays for your store which has 2400 sq ft of selling space. Each display has a footprint of 10 f

t x 4 ft. You want to leave 60% open space in your store for walking around. How many displays can you fit?
Mathematics
1 answer:
Fynjy0 [20]2 years ago
5 0

60% of 2,400 is 1,440. So in all actuallity, you only have 960 square feet to fill with displays. 10*4= 40ft^2. 960/40=24.

You can fit 24 displays in your store while having 60% walking space.

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xeze [42]

Answer:

0

Step-by-step explanation:

We have the fraction \frac{2m}{2m+3} -\frac{2m}{2m-3}

Step 1. Use LCM of the fraction, (2m+3)(2m-3), to simplify the fraction:

\frac{(2m-3)(2m)-(2m+3)(2m)}{(2m+3)(2m-3)} =\frac{2m^2-6m-[2m^2+6m]}{(2m+3)(2m-3)} =\frac{2m^2-6m-2m^2-6m}{(2m+3)(2m-3)} =\frac{-12m}{(2m+3)(2m-3)}

Step 2. Equate the resulting fraction to zero and solve for m:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0[(2m+3)(2m-3)]

-12m=0

m=\frac{0}{-12}

m=0

Step 3. Replace the value in the original equation and check if it holds:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0

Since m=0,

-12(0)=0

0=0

Since the only solution of the equation holds, the equation bellow doesn't have any extraneous solution

5 0
2 years ago
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Every year the value of a surveying machine depreciates by 25% of its value in the previous year , if the value of the machine w
klasskru [66]

Answer:

I'm not sure but maybe like 5

8 0
2 years ago
Javier is making a cake for a party. The recipe calls for 2 3 4 234 cups of flour, but he wants to triple the recipe. He guessed
GalinKa [24]
The correct question is
<span>Javier is making a cake for a party. The recipe calls for 2 3/4 cups of flour, but he wants to triple the recipe. He guessed and put in 7 cups of flour. How many more cups of flour should he have used?

we know that
2 3/4 cups of flour------> (2*4+3)/4----> 11/4 cups
if he </span>wants to triple the recipe------> 3*(11/4)----> 33/4 ----> 8 1/4 cups required

8 1/4-7=1 1/4 cups

the answer is
1 1/4 cups
5 0
2 years ago
The mean percent of childhood asthma prevalence in 43 cities is 2.32​%. A random sample of 32 of these cities is selected. What
lidiya [134]

Answer:

P(\bar X>2.8)

We can use the z score formula given by:

z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z=\frac{2.8 -2.32}{\frac{1.24}{\sqrt{32}}}=2.190

And using the normal standard distribution and the complement rule we got:

P(z>2.190 )= 1-P(z

Step-by-step explanation:

For this case w eknow the following parameters:

\mu = 2.32 represent the mean

\sigma =1.24 represent the deviation

n= 32 represent the sample sze selected

We want to find the following probability:

P(\bar X>2.8)

We can use the z score formula given by:

z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z=\frac{2.8 -2.32}{\frac{1.24}{\sqrt{32}}}=2.190

And using the normal standard distribution and the complement rule we got:

P(z>2.190 )= 1-P(z

8 0
2 years ago
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A police helicopter is flying at 150 mph at a constant altitude of 0.5 mile above a straight road. The pilot uses radar to deter
natali 33 [55]

Answer:

a) (see attached picture)

b) d, h, velocity of helicopter, dd/dt

in the direction oposite to the movement of the helicopter.

Step-by-step explanation:

In order to solve this problem we must start by drawing a diagram that will represent the situation (see attached picture). As you may see, there is a right triangle being formed by the helicopter, the car and the graound. We can use this to build the equation we are going to use to model the problem.

d^{2}=h^{2}+x^{2}

we can use this equation to find the value of x at that very time, so we can do that by solving the equation for x, so we get:

x=\sqrt{d^{2}-h^{2}}

and substitute the given values:

x=\sqrt{(1)^{2}-(0.5)^{2}}

which yields:

x=0.866mi

we know that the height of the helicopter is going to be constant, so we rewrite the equation as:

d^{2}=(0.5)^{2}+x^{2}

d^{2}=0.25+x^{2}

Next, we can go ahead and differentiate the equation so we get:

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d\frac{dd}{dt}=x\frac{dx}{dt}

we can next solve the equation for dx/dt so we get:

\frac{dx}{dt}=\frac{d}{x}*\frac{dd}{dt}

so we can now substitue te provided values so we get:

\frac{dx}{dt}=\frac{1}{0.866}*-190

so we get:

\frac{dx}{dt}=-219.40mph

the negative sign means that the x-value is decreasing.

now, this problem deals with relative velocities, so we get that:

Velocity of car about the helicopter = Velocity of the car - Velocity of the helicopter. Or:

V_{ch}=V_{c}-V_{h}

so we can solve this for the actual velocity of the car, so we get:

V_{c}=V_{ch}+V_{h}

so we get:

V_{c}=-219.40mph+150mph

which yields:

V_{c}=-69.4mph

So it has a velocity of 69.4mph in a direction oposite to the helicopter's movement.

4 0
2 years ago
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