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swat32
3 years ago
8

There are 2.5 oranges per pound, and 1.2 grapefruit per pound. With $50 you can buy 36 pounds of oranges or 45 pounds of grapefr

uit. If you have enough money to buy 29 pounds of grapefruit, how many oranges (to the nearest whole orange) could you buy instead? is it A.B.C.D OR E
A)23
B)28
C)90
D)58
E)91
Mathematics
1 answer:
Butoxors [25]3 years ago
4 0
Given
there are 2.5 oranges per Pound
and 1.2 Grapefruit per Pound
In $ 50 one can buy 40 Pound Oranges
i.e. Oranges is
In 50 $ one can buy 55 Pound Grapefruit
i.e. Grapefruit is
If we have Enough money to buy 28 Pounds of Grapefruit

In 24.45 $ we can bought
19.56 pounds meaning
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Chitchat wireless charges $0. 30 per minute plus a monthly base fee. In september, maggie used 120 minutes and her bill was $51.
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The equation is 51 = x + 120 × 0.30 that can find the monthly base fee charged by Chitchat wireless.

The equation representing the scenario will be formed through following components.

Total bill = monthly base fee + number of minutes × cost per minute

In the above mentioned equation, let us assume the monthly base fee to be x. Now, keep the values in formula to find the value of x.

51 = x + 120 × 0.30

Performing multiplication on Right Hand Side of the equation

51 = x + 36

Rewriting the equation according to x

x = 51 - 36

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, the monthly base fee is $15.

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<img src="https://tex.z-dn.net/?f=%20Simplify%3A%20%5C%3A%2018%20%5Cdiv%2016%20%2B%20%5B8%20%5C%7B16%20%5Cdiv%20%2810%20-%20%5Co
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<h3><u>Simplify :</u></h3>

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}

<u>Simplifying vinculum bar </u>

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}

<u>Simplifying parentheses brackets</u>

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}

<u>Simplifying curly brackets </u>

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \dfrac{16}{4} \bigg\} \bigg]}}}}

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \cancel{\dfrac{16}{4}} \bigg\} \bigg]}}}}

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}

<u>Simplifying square brackets </u>

{:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}

{:\implies{\small{\sf{18 \div 16 + 32}}}}

<u>According to BODMAS rule simplifying devision </u>

{:\implies{\small{\sf{18 \div 16 + 32}}}}

{:\implies{\small{\sf{ \dfrac{18}{16}  + 32}}}}

{:\implies{\small{\sf{{\cancel{\dfrac{18}{16}}  + 32}}}}}

{:\implies{\small{\sf{ 1.125 + 32}}}}

<u>Now, according to BODMAS rule simplifying addition</u>

{:\implies{\small{\sf{ 1.125 + 32}}}}

{:\implies{\small{\sf{33.125}}}}

{:\implies{\underline{\boxed{\pmb{\sf{Answer = 33.125}}}}}}

<u>∴ The answer is 33.125.</u>

<u>\underline{\rule{200pt}{2.5pt}}</u>

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The factors of an expression are the quotients of the expression

The model that represents the factors of x^2 - 9x + 8 is the product of x -1 and x - 8

<h3>How to determine the model</h3>

The expression is given as:

x^2 - 9x + 8

Expand the expression

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Factorize the expression

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Factor out x - 8

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Hence, the model that represents the factors of x^2 - 9x + 8 is the product of x -1 and x - 8

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