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2 years ago

Sophia Isabella share reward of $117 in a ratio of 1 to 8 what fraction of the total reward does Sophia get

Mathematics

2 answers:

Aleonysh [2.5K]2 years ago

8 0

Since the ratio is 1:8 that is a total of 9 parts.
Divide $117 by 9 to find the value of EACH part.
117/9 = 13
Sophia gets 1 part so she gets $13
If we needed the amount Isabella received we would multiply 13*8 = $104
Or 117 - 13 = $104
In $$ the ratio is $13:$104

Mars2501 [29]2 years ago

3 0

$13 because Isabella will be awarded $104 making the ratio 1:8

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General Idea:

To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.

Applying the concept:

33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38

Listing the data in ascending order we get

31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38

We need to plot three circles above 31, one circle above 32, two circles above 33, one above 35, two above 36, three above 37, and three above 38.

Conclusion:

Out of the four options, the correct option is B because that is the only dot plot representing the given set of data.

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2 years ago

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Priya and Han are biking in the same direction on the same path.

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Answer:

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D = 16t

2. Prya has been riding for t+½ hours

3. Prya has gone 12(t+½) miles

4. When Prya and Han meet

16t = 12t +6

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2 years ago

After a dreary day of rain, the sun peeks through the clouds and rainbow forms. You notice the rainbow is the shape of a parabol

lisabon 2012 [21]

Answer:

We are given that,

The equation of the rainbow is represented by the parabola,

$y=-x^2+36$

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Let us consider the equation joining the points (-6,0) and (0,36), given by $y=6x+36$ .

So, the corresponding table for the linear equation is given by,

x $y=6x+36$

-6 0

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1 42

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Now, we will answer the questions corresponding the functions.

1. Domain and Range of the rainbow.

Since, the equation of the rainbow is $y=-x^2+36$

So, from the figure, we get that,

Domain is the set of all real numbers.

Range is the set $\{ y|y\leq 36 \}$

Here, domain represents the points which are used to plot the path of the rainbow and range represents the points which are form the rainbow.

Not all points make sense in the range as the parabola is opening downwards having maximum point as (0,36).

2. X and Y-intercepts of the rainbow.

As, the 'x and y-intercepts are the points where the graph of the function cuts x-axis and y-axis respectively i.e. where y=0 and x=0 receptively'.

We see that from the figure below,

X-intercepts are (-6,0) and (6,0) and the Y-intercept is (0,36)

Here, these intercepts represents the point where the parabola intersects the individual axis.

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2 years ago

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DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

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I = (x × 4.5 × 1)/100 = 0.045x

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I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

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y = - 67.5/- 0.027

y = $2500

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x = $12500

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2 years ago

Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y.

igomit [66]

116y =96.28
116y = 96.28
---- ---------
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