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3 years ago

11

Simplify

a1" title="3 \frac{1}{4} - 4 \frac{2}{5} " alt="3 \frac{1}{4} - 4 \frac{2}{5} " align="absmiddle" class="latex-formula">

1 answer:

Korvikt [17]3 years ago

8 0

Step-by-step explanation:

(3+1/4)-(4+2/5)

(13/4)-(22/5)

find common denominator of 20

(65/20)-(88/20)

-23/20

Hope that helps :)

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Wilson purchased a notebook for class for $5. He also purchased x pens for 1.50 each. Write the linear function to model Wilson'

Romashka-Z-Leto [24]

Answer:

$p=1.5x+5$

Step-by-step explanation:

Let the total purchase be given as 'p' dollars.

Given:

Price of a notebook = $5

Price of a pen = $1.50

Number of pens purchased = 'x'

Number of notebooks purchased = 1

So, cost of 'x' pens can be obtained using unitary method and is given as the product of price per pen and number of pens.

So, price of 'x' pens = Price per pen $\times$ Number of pens

Price of 'x' pens = $1.50\times x=1.5x$

Now, total purchase price will be equal to the sum of the price of a notebook and price of 'x' pens.

Therefore, the total purchase price is given as:

Total price = 1 notebook price + 'x' pens price

⇒ $p=5+1.5x\ or\ \\p=1.5x+5$

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you make a right triangle. use Pythagorean theorem. and find the opposite side. then reduce the radical of 160. and do tan and then flip them around to make cot.

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B. Return on investment

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gary has 24 quarters, 16 dimes, and 32 pennies. write a ratio that compares the combined number of dimes and pennies to the numb

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Answer:

Following are the solution to this question:

Step-by-step explanation:

please find the graph image in the attached file.

Given value:

$AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles$

using the law of cosines:

$\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\$

$=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862$

$A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}$

$\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\$

$\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}$

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