Please solve this problem

Deluxe coffee is to be mixed with regular coffee to make at least 46 pounds of a blended coffee. The mixture must contain at lea

bogdanovich [222]

Answer:

11 pounds of deluxe, 35 pounds of regular

Step-by-step explanation:

If d is pounds of deluxe coffee, r is pounds of regular coffee, and C is the total cost, then:

d ≥ 11

d + r ≥ 46

C = 7d + 5r

Since deluxe costs more than regular, we want to use as little as possible to minimize the cost.

d = 11

r = 35

C = 252

8 0

3 years ago

(4.61×10^4)-(2.75×10^4)

Yanka [14]

(46100)-(27500)=18600

6 0

4 years ago

3 gallons of paint cover 900 square feet. How many gallons will cover 300<br> square feet?

SVEN [57.7K]

Answer:

1 gallon

Step-by-step explanation:

Since the relationship is direct, meaning as the number of square feet decreases, the number of gallons also decreases.

3:900 = x:300

solution:

3(300) = 900x

900=900x

x=1

4 0

3 years ago

Read 2 more answers

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

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

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:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

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

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

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

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago

Find the measure of the indicated angle to the nearest degree

sweet-ann [11.9K]

Answer:

Im pretty sure its 45 degrees

Step-by-step explanation:

Its an isosceles triangle so the upper 2 angles are Equal and a triangles angles adds up to 180 degrees, so if we have a 90 degree angle (the square) there's only 90 degrees left, so if you divide the 90 degrees by the remaining 2 Equal angles you get 45.

5 0

3 years ago