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4 years ago

To convert 180 seconds to minutes, which proportin should you use?

Mathematics

1 answer:

FinnZ [79.3K]4 years ago

5 0

The proportion would be 180/x=60/x

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A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O

Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

Nuts Raisins Price

mix A x + x = $ 7.00

mix B 3y + y = $ 9.50

Total: 150 90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0

4 years ago

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

Nikitich [7]

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

$y - y'= \frac{y''-y'}{x''-x'}\times (x-x')$

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

8 0

3 years ago

Last year, Mr. Jones made $30,000. His boss just informed him that he will be receiving at least an 11.2% raise for this year. H

Lady bird [3.3K]

Answer:

$33 336

Step-by-step explanation:

Increase = 30 000 × 0.112

Increase = $3336

New salary = 30 000 + 3336

New salary = $33 336

7 0

3 years ago

Drag each tile to the correct box. not all tiles will be used.Chris plans to mulch the border surrounding a rectangular garden i

amm1812

Length (L): 2w + 3

width (w): w

border (b): $\frac{1}{4} w$

Area (A) = (L + b) * (w + b) <em>NOTE: This is assuming the width also has a border</em>

= (2w + 3 + $\frac{1}{4} w$ ) * (w + $\frac{1}{4} w$ )

= $(2\frac{1}{4} w + 3)$ $(1\frac{1}{4} w)$

= $(\frac{9}{4} w + 3)$ $(\frac{5}{4} w)$

= $\frac{45}{16} w^2 + \frac{15}{4}w$

5 0

3 years ago

What does the equation y = -x mean

Aloiza [94]

It means the variable y is equal to the negative variable of x.

3 0

3 years ago