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Brums [2.3K]
2 years ago
5

When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared.

Mathematics
1 answer:
forsale [732]2 years ago
5 0
x-number\\\\
(x+3)^2-11=(x+2)^2\\\\
x^2+2*3*x+3^2-11=x^2+2*2*x+4\\\\
x^2+6x+9-11=x^2+4x+4\ \ |-x^2\\\\6x-2=4x+4\\\\6x-4x=4+2\\\\2x=6\ \ |:2\\\\ x=3

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During her summer vacation, Samantha worked at an insurance company for eleven weeks. She earned a total of $3,960. She did not
SVEN [57.7K]

Answer:   <em>She earned $72 per day. </em>

<em>The computation that will give Samantha's daily pay is:  \frac{\$3960}{5\times 11}</em>

Step-by-step explanation:

Samantha did not work on weekends. That means, <u>she worked for 5 days in a week</u>.

Given that, she worked at the insurance company for 11 weeks. So, <u>the total number of her working days</u> =(5\times 11)= 55

She earned a total of $3,960.

So, the amount she earned daily =\frac{\$3960}{55}=\$72


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3 years ago
Devyn sold 15 boxes of cookies this week. This is 7 more than he sold last week. How many boxes did he sell last week?
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3 years ago
ABCD rhombus, AC:BD = 4:3 Perimeter ABCD = 20 cm Find: Area of ABCD
AlladinOne [14]
Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:
length=20/4=5 cm
the ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:
AC=4x and BD=3x
using Pythagorean theorem, the length of one side of the rhombus will be:
c^2=a^2+b^2
substituting our values we get:
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25=4x²+2.25x²
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x=2
hence the length of the diagonals will be:
AC=4x=4×2=8 cm
BD=3x=3×2=6 cm
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=1/2×8×6
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How to do proportions?
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Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.
6 0
3 years ago
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