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marishachu [46]
3 years ago
6

On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car"s actual length, from bumper to bumper, is

16 feet. On the scale drawing, the height of a window is 3/4\ inch. What is the actual height of this window? Explain or show your reasoning.
thanks

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0
Cross multiply and solve for x

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A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever
IRISSAK [1]

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

<h3>How to calculate the number of chocolate bars</h3>

Since there are 5 different flavors,

let

  • x = orange flavored bars,
  • y = coconut flavored bars,
  • z = coffee flavored bars,
  • a = strawberry flavored bars and
  • b = honeycomb flavored bars and
  • X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

<h3>a. What is the total number of chocolate bars if there are 280 orange flavored bars?</h3>

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

<h3>b. What is the total number of chocolate bars if there are 960 coconut flavored bars?</h3>

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

<h3>c. What is the total number of chocolate bars if there are 79 coffee flavored bars?</h3>

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

Learn more about ratio here:

brainly.com/question/1127546

#SPJ1

7 0
2 years ago
Last year there were 120 students in choir. This year, 30% more students took choir. How many students are taking choir this yea
hjlf

Answer:

120 into a third and divide and the answer

Step-by-step explanation:

160

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3 years ago
Which best describes the graph of f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x?
dlinn [17]

3 units left

2 units up

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If f(x)=x+4 and g(x)=x^2-1, what is g(f(x))?
pickupchik [31]

g(f(x)) means plug in f(x) for every "x" in g(x).

g(f(x))=(x+4)^2-1=x^2+8x+16-1=x^2+8x+15

answer: x^2+8x+15

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Apply the distributuve property to factor out the greatest commmon facto 32+<br>44​
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4 is the greatest common factor of 32 and 44
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