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3 years ago

Someone please help me with this asap

Mathematics

1 answer:

Leokris [45]3 years ago

5 0

Answer:

All of these terms are dollar amounts.

Step-by-step explanation:

Here, x + y = 10 (where these numerals represent counts)

(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)

Let's eliminate y. To accomplish this, mult. the 2nd eq'n by-4, obtaining

-2x - y = -16, and then combining this with the 1st equation, as follows:

-2x - y = -16

x + y = 10

-------------------

-x = -6, or x = 6. This represents the number of pens purchased by Terrance.

Subbing 6 for x in the first equation, we get y = 4. This represents the number of pencils he bought.

($0.50)x + ($0.25)y = $4.00 (dollar amounts)

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A rubber belt connects the two flywheels shown. Find the total

elena-s [515]

Answer:

$L\approx 29.43\,in$

Step-by-step explanation:

The total length of the belt is:

$L = 2\pi\cdot (1.5\,in) + 20\,in$

$L\approx 29.43\,in$

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3 years ago

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a ball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s . the height of the

poizon [28]

First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .
Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94 seconds.
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3 years ago

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Please help me :'( I have been stuck on this

madam [21]

This is really weird.

-- NONE of the situations matches the equation at the top.

-- And the equation at the top isn't even really any big deal . . .
it's <em>always</em> true, no matter what ' t ' is . If you remove all of
the parentheses and simplify it, it says that 6 = 6. Well duh !

5 0

3 years ago

Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample

TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of first time customers
p is the proportion of first time customers based on historical data

N is the sample size

For the sample proportion 0.35:

z(0.35)= $\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ -1.035

For the sample proportion 0.5:

z(0.5)= $\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

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3 years ago

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket cos

IgorC [24]

Marked price = 200 + 40% of 200 = 200 * 0.4*200 = 200 + 80 = $280 price after 25% discount = 280 - 0.25*280 can you work that out?

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3 years ago