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3 years ago

15

joseph and patrick purchase school supplies in the book store. Joseph purchases four notebooks and three pens for $10.65. Patric

k purchases three notebooks and five pens for $9.50. What is the price of a notebook? What is the price of a pen?

1 answer:

natali 33 [55]3 years ago

6 0

I think it is going to be 3.55 for each notebook and 1.9 for each pen

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Nesterboy [21]

Let's solve this problem step-by-step.

To begin with, it is important to establish the following formula:

Angle sum of all triangles = 180°

Using this formula as well as the values of two out of three of the angles given, we can identify the value of the unknown angle as displayed as the following:

Let the unknown angle = x

Make (x) the subject as displayed as the following:

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3 years ago

Use the Distributive Property to simplify the expression.<br> 4(c-2)<br><br> Pls, help...

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2 years ago

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Amiraneli [1.4K]

Answer:

Step-by-step explanation:

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3 years ago

the area of a rectangle is 90 in2^. the ratio of the length to the width is 5:2. find the length and the width

-BARSIC- [3]

Length and width of rectangle is 15 inches and 6 inches respectively

<h3><u>Solution:</u></h3>

Given that area of a rectangle is 90 square inch

Ratio of length to the width = 5: 2.

Need to determine length and width of rectangle.

As ratio of length to the width is 5 : 2

Lets assume length of rectangle = 5x inches and width of rectangle = 2x inches.

<em><u>The formula for area of rectangle is given as:</u></em>

$\text { Area of rectangle }=\text { length of rectangle } \times \text { width of rectangle}$

Substituting the given value of area of rectangle and assumed value of length and width of rectangle we get:

$\begin{array}{l}{90=5 x \times 2 x} \\\\ {=>90=10 x^{2}}\end{array}$

On solving the above expression for x we get

$\begin{array}{l}{=>\frac{90}{10}=x^{2}} \\\\ {=>x^{2}=9} \\\\ {=>x=\sqrt{9}=3}\end{array}$

$\begin{array}{l}{\text { Length of rectangle }=5 \times x=5 \times 3=15 \text { inches }} \\\\ {\text { Width of rectangle }=2 \times} x=2 \times} 3=6 \text { inches }}\end{array}$

Hence length and width of rectangle is 15 inches and 6 inches.

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4 years ago