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KonstantinChe [14]
3 years ago
8

12 out of 84 balloons Maggie prepared for her brother’s party were green. What part of all balloons was green?

Mathematics
1 answer:
netineya [11]3 years ago
6 0

Answer:

The part of all balloons green was, \frac{1}{7}

Step-by-step explanation:

As per the statement: 12 out of 84 balloons Maggie prepared for her brother’s party were green.

⇒  Total number of balloons = 84 and

Number of balloons were green = 12

we have to find what part of all balloons were green.

In a fraction,

  • the top number (i.e numerator) says how many part we have and
  • the bottom number (i.e denominator) says that how many equal parts, the whole is divided into.

The part of all balloons were green = \frac{\text{Number of balloons were green}}{\text{Total number of balloons}}

Substitute the given values we have;

The part of all balloons were green = \frac{12}{84} =\frac{1}{7}

Therefore, the part of all balloons green was, \frac{1}{7}

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jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 27
kherson [118]

Answer:

16.875 spiders

Step-by-step explanation:

Given

Let

B = Beetles

C = Birds

S = Spiders

So, we have:

B = C = S --- equal amounts

6B + 2C + 8S = 270 --- the legs

Required

The number of spider

Since she has an equal amount of B, C and S;

The expression can be written as:

6B + 2C + 8S = 270

6S + 2S + 8S = 270

16S = 270

Solve for S

S = \frac{270}{16}

S = 16.875

<em>The result of the solution does not represent real life situation because it it is not possible to have a fraction number of spider</em>

5 0
3 years ago
Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t
Artist 52 [7]

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

x = 100 + 3(2800 - x)

Distributing 3 in the right side of the equation, we get...

x = 100 + 8400 - 3x

Adding 3x on both sides of the equation, we get...

x+3x = 8500

Combine like terms in the left side of the equation, we get...

4x=8500

Dividing 4 on both sides of the equation, we get...

\frac{4x}{4} =\frac{8500}{4}

Simplifying the fraction on either side of the equation, we get...

x=2125miles

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.

3 0
3 years ago
Calculate the marked price(original price)if after 20% discount, the price of an article.
Elina [12.6K]

Answer: An article was sold at a 20% discount, at Rs. 400. What was its marked price?

Let M denotes the required marked price of the given article.

Hence from above data we get following relation,

(1 - 20/100)*M = 400

or (4/5)*M = 400

or M = (5/4)*400 = 500 (Rs) [Ans]

Step-by-step explanation:

4 0
3 years ago
Which hundredth is 8.275 beetween
bonufazy [111]

Answer:

the 7 is in the hundredths place

Step-by-step explanation:

hope this helps :)

8 0
3 years ago
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Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)
12345 [234]

Answer:

y= 1/4 x +7

Step-by-step explanation:

The slope intercept form of a line is

y = mx + b where m is the slope and b is the y intercept

the slope is 1/4 and the y intercept is 7

y= 1/4 x +7

7 0
3 years ago
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