CAN SOMEONE PLS HELP WITH THIS QUESTION I need to finish this pls!!

20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than

EleoNora [17]

Answer:

(a) The equality that express many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy is 2 x + 3.5 y = 42

b)Three different solutions:

x = 14, y = 4 is First Solution.

x = 7, y = 8 is Second Solution.

x = 21, y = 0 is Third Solution.

Step-by-step explanation:

Here, the cost of 1 bottle of paint = $2.00 each

The cost of 1 box of colored pencils = $3.5 each

Let us assume the number of bottle of paints purchased = x

So, the cost of x bottle of paints = x ( Cost of 1 bottle of paint)

= x ($2.00) = 2 x

Also, assume the number of box of colored pencils purchased = y

So, the cost of y box of colored pencils = y ( Cost of 1 box)

= y ($3.50) = 3.5 y

Also, the total amount to be spent on art supplies = $42

So, the total amount spent on x paint bottles + y box of colored pencil

= $42

or, 2 x + 3.5 y = 42

a ) So, the equality that express many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy is 2 x + 3.5 y = 42

b)Three different solutions:

When y = 4 , equation is: 2 x + 3.5(4) = 42

or, 2 x = 42 - 14 = 28, or x = 28/2 = 14

So, x = 14, y = 4 is First Solution.

When y = 8 , equation is: 2 x + 3.5(8) = 42

or, 2 x = 42 - 28 = 14, or x = 14/2 = 7

So, x = 7, y = 8 is Second Solution.

When y = 0 , equation is: 2 x + 3.5(0) = 42

or, 2 x = 42 , or x = 42/2 = 21

So, x = 21, y = 0 is Third Solution.

7 0

2 years ago

Hiii friends plzzzzz talk me i am alone

nikdorinn [45]

Answer:

Okay what do you want to talk about ?

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Natasha is observing the growth of a population of bacteria. She started out with 250 bacteria cells. The population of bacteria

maxonik [38]

Y = 250 × 4x ... I think, I might be wrong.

4 0

3 years ago

Read 2 more answers

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x

Anna11 [10]

Answer:

a) Figure attached

b) $y=1.31 x +98.57$

c) The correlation coefficient would be r =0.47719

d) $y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

Step-by-step explanation:

(a) Draw a scatter diagram for the data.

See the figure attached

(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6576-\frac{300^2}{14}=147.429$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=38186-\frac{300*1773}{14}=193.143$

And the slope would be:

$m=\frac{193.143}{147.429}=1.31$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{300}{14}=21.429$

$\bar y= \frac{\sum y_i}{n}=\frac{1773}{14}=126.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=126.643-(1.31*21.429)=98.571$

So the line would be given by:

$y=1.31 x +98.57$

(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)

n=14 $\sum x = 300, \sum y = 1773, \sum xy=38186, \sum x^2 =6576, \sum y^2 =225649$

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{14(38186)-(300)(1773)}{\sqrt{[14(6576) -(300)^2][14(225649) -(1773)^2]}}=0.9534$

So then the correlation coefficient would be r =0.47719

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)

The % of variation is given by the determination coefficient given by $r^2$ and on this case $0.47719^2 =0.2277$ , so then the % of variation explaines is 22.8%.

(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb

So we can replace in the linear model like this:

$y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

7 0

2 years ago

Qué número tiene el valor que 14 decenas

DaniilM [7]

Answer:

140

Step-by-step explanation:

14 x 10 = 140

3 0

3 years ago