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Alex73 [517]
3 years ago
9

Ice-Cream Palace needed 6 gallons of milk today to make their daily special. They had 6 1⁄2 quarts of skim milk and 1 pint of wh

ole milk. How many pints of milk did they still need to buy?
Mathematics
2 answers:
Elza [17]3 years ago
5 0
First, we should convert all of the measurements into one unit.

Let's convert everything into fluid ounces since it's the smallest unit in the American Liquid Measurement system.

They had 6 1/2 quarts of skim milk.

6 1/2 quarts=208 fluid ounces.  

They had 1 pint of whole milk, which is equal to 16 fluid ounces.

Next, we add both numbers 208, and 16, together.

208+16=224.

So far Ice-Cream Palace has 224 fluid ounces of milk.

Next, we'll convert 6 gallons into fluid ounces.

6 gallons=768 fluid ounces.

Next, we subtract 224 from 768.

768-224=544.

That means they need to buy 544 ounces of milk.

All we have to do now is convert 544 into pints.

544 ounces= 34 pints.

They still need to buy 34 pints of milk.

I hope you have a wonderful day! :D

crimeas [40]3 years ago
5 0
Okay, so 2 cups is a pint, two pints is a quart and four quarts is a gallon.

We need to know how many more pints we need to get to 6 gallons, so I'm going to convert it all to pints, 6 1/2 quarts is 13 pints.


All together we have 14 pints, and you need 8 pints for a gallon, so in 6 gallons we need 48. 48-14=34. 

We need 34 more pints of milk.
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9 ounces

Step-by-step explanation:

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3 years ago
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A total of 259 tickets were sold to a benefit concert for a total of $5,312. Two types of tickets were sold: adult tickets were
jeyben [28]

Answer:

113

Step-by-step explanation:

Let the number of adult tickets sold =a

Let the number of student tickets sold =s

A total of 259 tickets were sold, therefore:

a+s=259

Adult tickets were sold for $24 each and student tickets were sold for $16 each.

Total Revenue = $5,312

Therefore:

24a+16s=5,312

We solve the two derived equations simultaneously.

From the first equation

a=259-s

Substitute a=259-s into 24a+16s=5,312

24(259-s)+16s=5,312

6216-24s+16s=5,312

-8s=5,312-6216

-8s=-904

Divide both sides by -8

s=113

Therefore, 113 student tickets were sold.

4 0
3 years ago
At what point on the parabola y = 3x^2 + 2x is the tangent line parallel to the line<br> y = 10x −2?
oksian1 [2.3K]

Answer:

( \frac{4}{3} , 8 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - 2 ← is in slope- intercept form

with slope m = 10

Parallel lines have equal slopes

then the tangent to the parabola with a slope of 10 is required.

the slope of the tangent at any point on the parabola is \frac{dy}{dx}

differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1} , then

\frac{dy}{dx} = 6x + 2

equating this to 10 gives

6x + 2 = 10 ( subtract 2 from both sides )

6x = 8 ( divide both sides by 6 )

x = \frac{8}{6} = \frac{4}{3}

substitute this value into the equation of the parabola for corresponding y- coordinate.

y = 3(\frac{4}{3} )² + 2

   = (3 × \frac{16}{9} ) + 2

   = \frac{16}{3} + \frac{8}{3}

   = \frac{24}{3}

   = 8

the point on the parabola with tangent parallel to y = 10x - 2 is ( \frac{4}{3} , 8 )

3 0
1 year ago
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Thepotemich [5.8K]
Answer: D 
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6 0
3 years ago
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A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s
Annette [7]

Answer:

The number of clarinets musical store sold was 16. and number of trumpets musical store sold was 11.

Step-by-step explanation:

Let the musical store sells 'x' number of trumpets and 'y' number of clarinets.

According to question,

Total number of  trumpets and clarinets sold is 27 that is

x+y=27 ..............(1)

Also given Trumpets cost $149 and clarinets cost $99.

then the shop sold x trumpets for $149x and sold y clarinets for $99y and total sales were $3233.

thus, 149x+99y=3233  ...........(2)

Solving for equation (1) and (2),

Multiply equation (1) by 149 , we get

(1) ⇒ 149x+149y=4023  ........(3)

Now, subtract equation (3) from equation (2) , we get

149x+149y-(149x+99y)=4023-3233

\Rightarrow 149x+149y-149x-99y=790

\Rightarrow 149y-99y=790

\Rightarrow 50y =790

\Rightarrow y =\frac{790}{50}=15.8

Thus, number of clarinets musical store sold was 15.8 but since clarinets are to be in whole number rounding off to the nearest integer 16.

and put y = 16 in (1) , we get

x+y=27 \Rightarrow x+16=27 \Rightarrow x=27-16=11

Thus, number of trumpets musical store sold was 11.


4 0
2 years ago
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