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3 years ago

15

If a storm window is 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide

1 answer:

viva [34]3 years ago

3 0

$\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{\textit{6 more than \underline{w}}}{w+6}\\ A=315 \end{cases}\implies 315=(w+6)(w) \\\\\\ 315=w^2+6w\implies 0=w^2+6w-315 \\\\\\ (w+21)(w-15)=0\implies w= \begin{cases} -21\\ \boxed{15} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill w=15\qquad \stackrel{w+6}{L=21}~\hfill$

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lesya [120]

Answer:

x>−5.576923

Step-by-step explanation:

2.6x+2>−12.5

Step 1: Subtract 2 from both sides.

2.6x+2−2>−12.5−2

2.6x>−14.5

Step 2: Divide both sides by 2.6.

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3 years ago

Evaluate the following expression:

Maurinko [17]

Answer:

1

Step-by-step explanation:

${6}^{2} - 7(8 + 6 - {3}^{2})$

Using BODMAS we'll have to solve what is in the bracket first

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Multply -7 by 5 still using the rule of BODMAS

$= {6}^{2} - 35 \\ = 36 - 35 \\ = 1$

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>

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3 years ago

A graduated commission employee makes 3.5% interest on the first $50,000 in sales and 6.5% interest on all sales over $50,000. W

Dominik [7]

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4 years ago

Read 2 more answers

Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of

Marat540 [252]

Answer:

here you go, the answer to the whole test: https://school.ckseattle.org/documents/2019/2/8_2_The_Pythagorean_Theorem_and_Its_Converse.pdf

Step-by-step explanation:

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3 years ago

The grams of sugar per serving for three brands of cereal are 4 g, 10 g, and 14 g. The probability of choosing a cereal with 4 g

Sergio039 [100]

Answer:

$Expected\ Value = 9$

Step-by-step explanation:

Given

Cereal A

$Probability = \frac{1}{4}$

$Grams = 4$

Cereal B

$Probability = \frac{5}{8}$

$Grams = 10$

Cereal C

$Probability = \frac{1}{8}$

$Grams = 14$

Required

Determine the expected value of grams of sugar

This is calculated by multiplying the probability and grams of sugar in each cereal.

The results of the products are then added together

i.e.

$Expected\ Value = \frac{1}{4} * 4 + \frac{5}{8} * 10 + \frac{1}{8} * 14$

$Expected\ Value = 1 + \frac{50}{8}+ \frac{14}{8}$

$Expected\ Value = 1 + 6.25 + 1.75$

$Expected\ Value = 9$

Hence;

The expected value of grams of sugar is 9 grams

8 0

3 years ago