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3 years ago

12

An 8 foot length of 4 inch wide crown molding costs $16. How much will it cost to buy 40 feet of crown molding?

1 answer:

malfutka [58]3 years ago

6 0

Converting feet to inches, 8*12=96 and 96*4=384. Next, 40*12=480. Since 384*x (if x represents the cost per inch of crown molding)=16*100=1600 cents due to that for every inch, we add x amount of money, we can find x to be 1600/384=800/192=400/96=200/48=100/24=50/12=25/6 by simply dividing both the numerator and denominator by 2 each time. Since we add x amount of money for every inch, and we have 480 inches, 480*x=480*25/6=2000 cents=2000/100=20 dollars is our answer

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The total cost ,c, of renting a Canoe for n hours can be represented by a system of equations. Write the system of equations tha

Brut [27]

Answer: $\left \{ {{c=28} \atop {c=3n+13}} \right.$

Step-by-step explanation:

<h3> The missing data is: " The cost of renting a conoe to use on River Y costs $28. The cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit".</h3>

Let's find the first equation.

You know that the cost of renting a conoe to use on River Y costs $28. This is:

$c=28$

To find the second equation you need to remember the Slope-Intercept form of a Linear equation. This is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Since the cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit, you can identify that:

$m=3\\b=13$

Therefore, the equation that represents this situation is:

$c=3n+13$

So, the System of equations that could be used to find the total cost "c" of renting a canoe for "n" hours, is:

$\left \{ {{c=28} \atop {c=3n+13}} \right.$

8 0

3 years ago

What is the rule sequence of -5,7,19,31

kicyunya [14]

We have 7 = (-5) + 12;
19 = 7 + 12;
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5 0

3 years ago

Solve the system of equations.

guajiro [1.7K]

Answer:

<u>Option b. (x = 3, y = 20, z = -14)</u>

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]$

∴A = $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1$

Ax = $\left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3$

Ay = $\left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\$

Az = $\left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14$

∴ x = Ax/A = -3/-1 = 3

y = Ay/A = -20/-1 = 20

z = Az/A = 14/-1 = -14

<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>

4 0

4 years ago

VladimirAG [237]

Equals 11
because you multiply and ÷ ####

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4 years ago

How do you do a question like this? 80% as a fraction in simplest form.

Gemiola [76]

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