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lesantik [10]
2 years ago
3

Amber's birthday party will cost $12 if she invites 4 guests. If there are 7 guests, how much will Amber's birthday party cost (

c)? Assume the relationship is directly proportional.
Mathematics
2 answers:
galben [10]2 years ago
4 0

Answer:15

Step-by-step explanation:4+8=12 so 7+8=15

Sever21 [200]2 years ago
3 0

Answer:

c = 21

Step-by-step explanation:

p = price per guest

4p = 12

7g = c

If these two equations are directly proportional, p times 7 will give us the answer. First, let's figure out what p is:

4p = 12

<u>p = 3                                      Divide both sides by 4</u>

Now we plug 3 in for g and solve our equation for 7 guests:

c = 7(3)

21 = c

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

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You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000


The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8


the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




8 0
2 years ago
Read 2 more answers
please solve this problem : 9 boys take part in a relay event each boy runs 3/5 of a mile how far do the boys run please help
Artist 52 [7]
All you need to do is multiply the amount of boys by the distance each boy runs.

9x3/5=5.4 miles

The boys run a combined distance of 5.4 miles.
7 0
2 years ago
A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is
qaws [65]

Answer:

It is 20.4 and 16.8

Step-by-step explanation:

This is similar to 8.4 (because its doubled) and it is similar to 10.2 (because its doubled)

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2 years ago
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Kiley gathered the data in the table. She found the approximate line of best fit to be y = 1.6x – 4. A 2-column table with 5 row
Dimas [21]

Answer:

The residual value is -1.8 when x = 3

Step-by-step explanation:

We are given the following table

x     |    y

0    |   -3

2    |    -1

3    |    -1

5    |    5

6    |    6    

Residual value:

A residual value basically shows the position of a data point with respect to the line of best fit.

The residual value is calculated as,

Residual value = Observed value - Predicted value

Where observed values are already given in the question and the predicted values are calculated by using the equation of  line of best fit.

y = 1.6x - 4

When we substitute x = 3 in the above equation then we would get the predicted value.

y = 1.6x - 4 \\\\y = 1.6(3) - 4 \\\\y = 4.8 - 4 \\\\y = 0.8

So the predicted value is 0.8

From the given table, the observed value corresponding to x = 3 is -1

So the residual value is,

Residual value = Observed value - Predicted value

Residual value = -1 - 0.8

Residual value = -1.8

Therefore, the residual value is -1.8 when x = 3

Note: A residual value closer to 0 is desired which means that the regression line best fits the data.

5 0
2 years ago
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For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of seven types of​ automobile, the linear correl
ololo11 [35]

Answer:

The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the <em>weights</em><em>​</em> and <em>highway fuel consumption amounts</em> of seven types of automobile.

P-value states <em>the significance</em> of this relationship. If the p-value is lower than a <em>significance level</em> (for example 0.05) then the relation is said to be significant.

5 0
2 years ago
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