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agasfer [191]
3 years ago
13

Eric's gas tank is 1/3 full. After he buys 9 gallons of gas it is 5/6 full .How many gallons can Eric's tank hold

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer:

The number of gallons are "18".

Step-by-step explanation:

According to the question,

⇒ \frac{5}{6} V-\frac{1}{3}V =9 \ gallons

On taking L.C.M, we get

⇒ (\frac{5-2}{6})V =9

⇒ \frac{3}{6}V=9

⇒ V=9\times 2

⇒ V=18

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5x 2y = 7 y = x 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}.
OLEGan [10]

The correct option is A, which is {(5/7, 12/7)}.

<h2>Given to us,</h2>

equation 1, 5x + 2y = 7,

equation 2, y = x+1

To solve the question, as given in equation 2 the value of y which is equal to x+1, Substitute the value of  y in equation 1,

5x + 2y = 7

<h3>substituting,</h3>

5x + 2(x+1) = 7\\5x+2x+2=7\\7x+2=7\\7x=7-2\\7x=5\\\\x= \dfrac{5}{7}

Now, we have the value of x, substitute the value in equation 2, to get y,

y=x+1\\y=(\frac{5}{7})+1\\

Taking LCM,

y=\frac{5+(1\times 7)}{7}  \\y= \dfrac{12}{7}

Hence, the correct option is A, which is {(5/7, 12/7)}.

To know more visit:

brainly.com/question/2263981

4 0
3 years ago
The volume of this prism is 378cm3. What is the length of x First correct answer will get 5 starts and brainliest!
Nitella [24]

Answer:

14cm

Step-by-step explanation:

You divide 378 from 27

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3 years ago
The figure below shows rectangle ABCD with diagonals segment AC and segment DB:
djverab [1.8K]

Answer:

segment BC ≅ segment BC (reflexive property of congruence)  

Step-by-step explanation:

Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.

Before statement 6, you need to prove that side BC is the same for both triangles

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if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food​
kap26 [50]

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food​

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

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x = 9000/100

x = 90

x = number of calories = 90 calories

6 0
3 years ago
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solniwko [45]

Answer:

the answer is c

Step-by-step explanation:

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