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3 years ago

There is a bag with only red marbles and blue marbles.

Mathematics

1 answer:

natulia [17]3 years ago

6 0

Answer:

There must be 35 red marbles.

Step-by-step explanation:

This question can be solved using a rule of three.

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of randomly choosing a red marble is 7/9.

This means that for each set of 9 marbles, 7 must be red.

There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.

How many red marbles out of 45?

7 red - 9 marbles

x red - 45 marbles

$9x = 45*7$

Simplifying by 9

$x = 5*7$

$x = 35$

There must be 35 red marbles.

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For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm

Paraphin [41]

The ratio of the area of the first figure to the area of the second figure is 4:1

<h3>Ratio of the areas of similar figures </h3>

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

$(\frac{14 \ mm}{7 \ mm})^{2}$

$= \frac{196 \ mm^{2} }{49\ mm^{2} }$

$=\frac{4}{1}$

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446

8 0

2 years ago

(b) The area of a rectangular pool is 5488 m\2 If the length of the pool is 98 m, what is its width?

mrs_skeptik [129]

Answer:

Step-by-step explanation:

To find the area of a rectangle we have the foruma A=WxL.

But we already have the area and length so we can plug that in

5488=Wx98

Now its an algebreic expression.

SInce its multiplying we do the opposite, so we divide 98 on both sides.

98/98 crosses itself out so now its 5488/98. Which equals 56. So now our expression is W=56. To fact check we put the numbers 56 and 98 into the formula to see if we get 5488.

A=56x98

A=5488

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1 year ago

Please help! Find the slope -2x + 4y = 36 Thank you!

kogti [31]

-2x+4y=36
Add +2x to both sides
4y=2x+36
Decide every term by 4
y= 2/4x + 9

The slope is 2/4

8 0

2 years ago

Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)

bearhunter [10]

i did this last year lol ;-;

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2 years ago

Guys pls help me!!!!!!

Anettt [7]

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

$180 - 54$
$126$

2. Now, we know that adjacent of 54 is 126. Also, we know that $l$ ║ $m$ ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.

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2 years ago