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Allisa [31]
2 years ago
14

An online seed supplier packages a seed mix that costs the company $20.70 per pound. The mix includes poppy seeds costing $24.00

per pound and clover seeds costing $13.00 per pound. If a worker is going to prepare some of this mix and has already measured out 26 pounds of poppy seeds, what quantity of clover seeds should he add?
Mathematics
1 answer:
kati45 [8]2 years ago
8 0

Answer:

The quantity of clover seeds the worker will add is 11.14 pounds

Step-by-step explanation:

Let

x=Poppy seed

y=clover seed

24x+13y=20.70(x+y)

x=26 pounds

Substitute x=26 pounds into the equation

24x+13y=20.70(x+y)

24(26)+13y=20.70(26+y)

624+13y=538.2 +20.70y

Collect like terms

624-538.2=20.70y-13y

85.8=7.7y

Divide both sides by 7.7

y=85.8/7.7

=11.14 pounds

Therefore, the quantity of clover seeds the worker will add is 11.14 pounds

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Answer:

The given equation  in slope intercept form is

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Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

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According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
2 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
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Answer:

  • $5000 in the first city
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Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...

... 7.5%·x +5%·(x -1000) = 575

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... x = 5000 . . . . . . . . divide by 12.5% (=0.125)

The first-city charge was $5000; the second-city charge was $4000.

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steve gaimes is paid overtime for all time worked past 40 hours in a week. his regular time pay rate is $12 an hour and his over
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Quadrilateral QRST is similar to quadrilateral EDGF. What's the scale factor from EDGF to QRST
mart [117]

Answer:

C. \frac{6}{5}

Step-by-step explanation:

The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.

Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as \frac{42}{35}

The scale factor = \frac{42}{35} = \frac{6*7}{5*7} = \frac{6}{5}

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We can expression one variable in terms of the others as

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Since the area is the product of the dimensions, we have

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So, the maximum is

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This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.

5 0
2 years ago
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