(12pts) Acasa Insurance Company offers several plans for home insurance.

Please help with these math problems I will give 50 points if you answer all

madreJ [45]

Creating and Solving Equations

Write an equation for each description.

We will call N the searched number

1. Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3.

8(N-2) = 3(N+3)

8N - 16 = 3N + 9

8N - 3N = 9 + 16

5N = 25

N = 25/5 = 5 ANSWER 1 = 5

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2. The sum of -7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7

-7N + 8(N+1) = N - 7

-7N +8N +8 = N -7

N + 8 = N -7

ERROR There is no such number ANSWER 2 = does no exist.

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3. The quotient of the difference of a number and 24 divided by 8 is the same as the number divided by 6

(N-24)/8 = N/6

6(N-24) = 8N

6N -144 = 8N

-144 = 8N-6N

-144= 2N

N = -144/2 = -72 ANSWER 3 = -72

We can check it by replacing this number

(-72-24)/8 = -72/6

-96/8 = -72/6

-12 = -12 ¡Checked!

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4. Sierra has a total of 61 dimes and quarters in her piggybank. She has 3 more quarters than dimes. The coins have a total value of $10.90.

How many dimes and how many quarters does she have? [Hint: Use the decimal values of the c coins to write an equation]

We will call d and q to the number of dimes and quarters respectively.

d + q = 61 Equation 1

0.10d + 0.25q = $10.90 multiplying each coin by its value in dollars. Equation 2

d + d+3 = 61 there are three more quarters than dimes

2d = 61-3 = 58

d = 58/2 = 29 dimes this is the number of dimes

q = d+3 = 29+3 = 32 quarters this is the number of quarters

ANSWER 4 = She has 32 quarters and 29 dimes

We can check this by replacing the values in Equation 2

29*$0.10 + 32*$0.25 = $2.90 + $8 = $10.90 ¡Checked!

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5 Penn used the formula for the sum of the angles inside a polygon: Sum of the interior angles = (n-2)180, where n is the number of angles of the polygon. Penn's answer is 1,980 degrees. How many angles does the polygon have?

(n -2 )*180º = 1,980º

180n -360º = 1,980º

180n = 1,980+360º = 2,340º

n= 2,340º/180º = 13 This is the number of angles of the polygon.

ANSWER 5 = 13 angles

$\textit{\textbf{Spymore}}$

8 0

3 years ago

Read 2 more answers

Solve for c.<br> -c/2+43 = 50

noname [10]

$\huge\text{Hey there!}$

$\mathsf{-\dfrac{c}{2}+43=50}$

$\large\text{SUBTRACT 43 to BOTH SIDES}$

$\mathsf{-\dfrac{c}{2}+43-43=50-43}$

$\large\textsf{CANCEL out: 43 - 43 because that gives you 0}$

$\large\textsf{KEEP: 50 - 43 because it helps solve for the c-value}$

$\mathsf{50 - 43 = \bf 7}$

$\large\text{NEW EQUATION: }\mathsf{-\dfrac{c}{2}=7}$

$\large\textsf{MULTIPLY }\mathsf{\dfrac{2}{-1}}\large\textsf{ to BOTH SIDES}$

$\mathsf{\dfrac{2}{-1}\times-\dfrac{c}{2}= \dfrac{2}{-1}\times7}$

$\large\textsf{CANCEL out: your RIGHT SIDE of the equation because that gives}\\\large\textsf{you 1}$

$\large\textsf{KEEP: }\mathsf{\dfrac{2}{-1}\times7}\large\textsf{ because that helps solve for the c-value}$

$\uparrow\large\text{SIMPLIFY THE EQUATION ABOVE \& YOU HAVE YOUR}\\\large\text{C-VALUE}\uparrow$

$\boxed{\boxed{\large\text{ANSWER: \huge\bf c = -14}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

5 0

3 years ago

The original price of a pair of shoes is $29.90 and there is a markdown of 10% for a

olga_2 [115]

Answer:

2.99 is the amount that is being taken off and the final price is $26.91

Step-by-step explanation:

3 0

3 years ago

Each circle counts as one whole, Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.

devlian [24]

Answer:

$2 \frac{2}{5}$

$\frac{12}{5}$

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

$2 \frac{2}{5}$

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

$\frac{2}{1} \times \frac{5}{5}$

Which equal

$\frac{10}{5}$

Then add 2/5 to 10/5

$\frac{10}{5} + \frac{2}{5} = \frac{12}{5}$

7 0

3 years ago

Read 2 more answers

In a certain country telephone numbers have 9 digits. the first two digits are the area code and are the same within a given are

irga5000 [103]

<span>Using the counting principle, the total number of possible telephone numbers is given by N = 1 * 1 * 9 * 10 * 10 * 10 * 10 * 10 * 10 = 9,000,000</span>

6 0

3 years ago