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3 years ago

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carl is remodeling his kitchen. on his plans, the kitchen island is 4 inches long. if the actual kitchen island will be 9.2 feet

long, what was the scale used to create the drawing?

1 answer:

Inessa [10]3 years ago

6 0

Answer:

one inch on the plan represents 2.3 feet in real life

Step-by-step explanation:

Set up a proportion

$\frac{4}{9.2} \\$ = $\frac{1}{x}$

$4x=9.2$

$x=2.3$

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Answer:

a. $6x+1240=12484$

b.

$x_1+x_2+x_3+x_4=65\\x_2=2x_1\\x_3=x_1+2\\x_4=0.25x_2$

c. $5x+20=415$

Step-by-step explanation:

a. In the account are 6 deposits of the paid that Tom gets each month and the initial $1240. Let $x$ be the paid Tom gets each month, then:

$6x+1240=12484$

Solving for $x$ :

$6x=12484-1240\\6x=11244\\x=\frac{11244}{6} \\x=1874\\$

b)Let $x_1$ be pounds contained in the first box, $x_2$ the pound in the second box, $x_3$ the pounds in the third box and $x_4$ the pound in the fourth box, then:

$x_1+x_2+x_3+x_4=65\\x_2=2x_1\\x_3=x_1+2\\x_4=0.25x_2$

Substitute the value of $x_2$ in the last equation:

$x_4=0.25(2x_1)\\x_4=0.5x_1$

Substitute all the equation in the first and solve for $x_1$ :

$x_1+(2x_1)+(x_1+2)+(0.5x_1)=65\\4.5x_1=65-2\\x_1=63/4.5=14$

Solving for x2,x3, and x4:

$x_2=2x_1=2*14=28\\x_3=x_1+2=14+2=16\\x_4=0.25x_2=0.25*28=7$

c) Simon is ordering 5 cans and 5 racquets, the total from the cans is 5(4)=$20. Let x be the cost of each racquet,

$5x+20=415$

Solving for x:

$5x=415-20\\x=395/5=79$

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A sum of money is invested for 3 years at a certain rate of interest. Had the rate of interest been 1 %more it would have fetche

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Answer: the sum invested = $600

<u>Step-by-step explanation:</u>

Interest (I) = Principal (P) × rate (r) × time (t)

Original amount: I = P × r × 3

Increased by 1%: I + 18 = P × (1+ .01)r × 3

Substitute I with Prt and set the equations equal to each other to find r:

3Pr + 18 = 3.03Pr

Solve for Pr:

18 = 0.03Pr

<u> ÷0.03</u> <u>÷ 0.03 </u>

600 = Pr

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