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3 years ago

14

you have been asked to build a scale model of a restaurant out of popsicle sticks. The restaurant is 20 feet tall. Your scare is

2.4 cm = 1 foot. a popsicle stick is 1.2 cm tall. How many ticks tall will your model be?

1 answer:

DiKsa [7]3 years ago

5 0

The model will be 40 sticks tall

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Chris said that a fraction equivalent to 9/12 is 3/6

lidiya [134]

Answer:

9/12 is equal to 3/4.

Step-by-step explanation:

9 and 12 can both be divided by 3. In the fraction, divide both the top and the bottom by 3 and you get 3/4.

9/12 simplified is 3/4.

I suspect where Chris went wrong was that he though 9 divided by 2 was 3. In reality, it's 4.5.

Maybe he went wrong because he accidentally divided 12 by 2 instead of 3.

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3 years ago

The two lines represent the distance traveled, over time, by two trains. Which train is traveling more quickly?

vagabundo [1.1K]

Answer:

A

Step-by-step explanation:

if the line is steeper it means that it increases quickly

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3 years ago

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4 years ago

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

m_a_m_a [10]

Answer:9 nickels and 19 dimes.

Step-by-step explanation:

Let $n$ be the number of nickels Kay has.

Let $d$ be the number of dimes Kay has.

Value of $1$ nickel is $ $0.05$

Value of $n$ nickels is $ $0.05n$

Value of $1$ dime is $ $0.1$

Value of $d$ nickels is $ $0.1dn$

Given that Kay has a total of $28$ coins.

So, $n+d=28$ ...(i)

Given that Kay has a total value of $ $2.35$

So, $0.05n+0.1d=2.35$ ...(ii)

Using (i) and (ii),

$0.05n+0.1(28-n)=2.35\\0.05n+2.8-0.1n=2.35\\2.8-2.35=0.05n\\0.45=0.05n\\n=9$

$d=28-n=28-9=19$

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3 years ago

Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation

Kryger [21]

Answer:

$y + x - 6 = 0$

Step-by-step explanation:

Given

$M(0,6) \ and \ N(6,0)$

Required

Find the equation of the line

First, the slope of the line has to be calculated using the following formula;

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$where\ (x_1,y_1) = (0,6) \ and \ (x_2,y_2) = (6,0)$

So, the equation becomes

$m = \frac{0 - 6}{6 - 0}$

$m = \frac{-6}{6}$

$m = -1$

The equation of the line can then be calculated using

$m = \frac{y - y_1}{x - x_1} \ or \ m = \frac{y - y_2}{x - x_2}$

$Using \ m = \frac{y - y_1}{x - x_1}$

$-1 = \frac{y - 6}{x -0}$

$-1 = \frac{y - 6}{x}$

Multiply both sides by x

$-1 * x = \frac{y - 6}{x} * x$

$-x = y - 6$

Add x to both sides

$x -x = y - 6 + x$

$0 = y - 6 + x$

Reorder

$y + x- 6 = 0$

$Using \ m = \frac{y - y_2}{x - x_2}$

$-1 = \frac{y - 0}{x - 6}$

$-1 = \frac{y}{x - 6}$

Multiply both sides by x - 6

$-1 * (x-6) = \frac{y}{x - 6} * (x-6)$

$-1 * (x-6) = y$

$-x+6 = y$

Add x - 6 to both sided

$x - 6 -x+6 = y +x - 6$

$0 = y + x - 6$

$y + x - 6 = 0$

Hence, the equation of the line is $y + x - 6 = 0$

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3 years ago