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Oksana_A [137]
3 years ago
5

Heating oil is to be poured at the constant rate of 4.5 gallons per minute into a 400-gallon tank that already contains 115 gall

ons of heating oil. What fraction of the tank's total capacity will be full in 30 minutes?
Mathematics
1 answer:
kirill [66]3 years ago
3 0

Answer:

5/8

Step-by-step explanation:

The volume after 30 minutes is:

(4.5 gal/min) (30 min) + 115 gal = 250 gal

The fraction of total capacity is:

250 gal / 400 gal = 5/8

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Lines AB and CD are parallel. If 6 measures (3x - 33)°, and 5 measures 123°, what is the value of x?
Andrews [41]

The value of x from the figure is 30 degrees

<h3>Parallel lines</h3>

Parallel lines are lines that have the same slope and have 0 degrees as the angle between them.

The sum of angle 5 and angle 6 are supplementary. Hence;

m<5 + m<6 = 180

3x - 33 + 123 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

Divide both sides by 3

3x/3 = 90/3

x = 30

Hence the value of x from the figure is 30 degrees

Learn more on angles here: brainly.com/question/25770607

6 0
2 years ago
What is the proportional relationship show in 8 tablespoons of honey for every 10 cups of flour.
elena55 [62]

Answer:

4 : 5

Step-by-step explanation:

8 : 10

4 : 5

hope this was helpful : )

6 0
3 years ago
Determine Upper P (Upper F or Upper G )using the general addition rule. Select the correct choice below and fill in any answer b
Lilit [14]

Answer:

S= {8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 }

event F= {10 , 11 , 12 , 13 , 14}

event G= {14 , 15 , 16 , 17}

a) List of outcomes in F or G

answer;

(F or G) = { 10 , 11, 12 , 13 , 14 , 15 , 16 , 17}

b) P ( F or G) = by counting the number of outcomes in F or G  

Ans ( F or G) = No. of outcomes in ( F or G) / Total no. of outcomes

= 8/12 = 2/3

c) P ( F or G) using general addition rule

Ans P (F or G) = P(F) = P(G) - P( F and G)

      = 5/12 + 4/12 - 1/12

       = (5+4-1)/12 = 8/12 =2/3

Step-by-step explanation:

8 0
3 years ago
7x = 22 <br> What does x equal? Write your answer as a fraction
Veronika [31]
X= 22/7 periodttttttttt
8 0
3 years ago
Manuel buys 2 shirts at $24 each as well as one pair of pants for $35. He has a coupon for 30% off the shirts.What is the total
vladimir1956 [14]

Answer:

$52.36

Step-by-step explanation:

30% of 48 = 14.40 + 35 = 49.40

6% of 49.40 = 2.96

49.40 + 2.96 = 52.36

3 0
3 years ago
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