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3 years ago

Ian needs to replace two concrete sections in his sidewalk, as modeled below. Each section is 36 inches by

Mathematics

1 answer:

fredd [130]3 years ago

4 0

Answer: $19.5

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a rectangular prism = width x length x height

Replacing with the values given:

Since 1= 1/12 foot

36 in /12 = 3 foot (length and wifth)

4 in /12 = 1/3 foot (height)

V = 3 x 3 x 1/3 = 3ft3

Next, we multiply it by 2 (since there are 2 sections):

3 x 2 = 6 ft3

Finally we multiply it by the cost of each cubic foot:

6 x 3.25 = $19.5

Feel free to ask for more if needed or if you did not understand something.

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Select the correct answer

bulgar [2K]

The answer is b bc it’s all real numbers since it won’t stop

3 0

3 years ago

A box has four cards numbered 1, 2, 3, and 4

lora16 [44]

Sample space: H1, H2, H3, H4, T1, T2, T3, T4
All outcomes if the card is three: H3, T3
I was unclear about the last two parts of the question.

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3 years ago

The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

Caitlin buys some apples and some oranges. She buys twice as many apples as oranges. Each apple costs £0.25 Each orange costs £0

Vitek1552 [10]

Answer:

Step-by-step explanation:

Caitlin buys twice as many apples as oranges.

$2a=o$

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.

$5-2a(0.30)-0.25a=0$

$5=2a(0.30)-0.25a\\5=0.6a-0.25a\\5=0.35a\\a=14$

3 0

3 years ago

A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh

mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 2.7, \sigma = 0.9$