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timurjin [86]
3 years ago
10

PLZ HELP GIVING BRAINLIST The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces tha

t was drank. The table below shows the amount of caffeine consumed by three different people and the corresponding number of ounces of Diet Pepsi that they each drank.
Amount of Caffeine (mg) 24 36 48
Amount of Diet Pepsi (oz) 8 12 16
What is the unit rate (or constant of proportionality)?
Write an equation to represent this proportional relationship. Make sure to define the variables you used.
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0

Answer:

Step-by-step explanation:

(When c=the amount of caffeine and p=the amount of pepsi)

c = 3p

The unit rate is 3 mg of caffeine per oz of pepsi

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The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?
Fed [463]
So h is 3x 
b is x
3x plus x equal 972 
4x = 972 
243 is base 
243 times 3 is 729
8 0
4 years ago
Cedric purchased a new refrigerator and stove at Home Depot for $3,729 on a deferred payment plan with no down
lesya [120]

Answer:

correct option is d. $242.81

Step-by-step explanation:

given data  

APR = 25.5% = \frac{25.5}{12}     = 2.125  

paid = $3,729

solution

we get here finance charge on the 1st month by multiplying 3,729 and now adding it to existing balance

so we get finance charge for the second and third months similarly as

APR ÷ 100 = \frac{2.125 }{100}  = 0.02125

so 1st  

= $3,729 × 0.02125  

= 79.25  

and  

$3,729  + $79.25 = $3808.24  

so for next  

= $3808.24 × 0.02125  

= 80.93

and  

$3808.24  + $80.93 = $3889.17  

so for next  

= $3889.17  × 0.02125  

= 82.64  

and  

$3889.17 + $ 82.64  = $3971.81

so  

finance charge =  3971.81 - 3729  

finance charge = 242.81  

so correct option is d. $242.81

8 0
3 years ago
The size of a TV is measured by its diagonal. You want to buy a TV that has a 32
ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51

Taking square root on both sides

\sqrt{b^2}=\sqrt{777.51}\\b=27.88

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

7 0
3 years ago
How can you prove:<br><br> secθ = cscθtanθ
zavuch27 [327]

\sec \theta=\csc \theta\tan \theta\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\sin \theta}\cdot\dfrac{\sin \theta}{\cos \theta}\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\cos \theta}

3 0
3 years ago
How do you simplify 2i&lt;6u ?
marusya05 [52]
In simplifying inequalities, there are a few things that you have to remember. Here are some:

<span>Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
But these things will change direction of the inequality:<span>Don't multiply or divide by a variable (unless you know it is always positive or always negative)

We simplify as follows:
2i/2<6u/2
i<3u</span></span>
5 0
3 years ago
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