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kykrilka [37]
2 years ago
12

HELLLP TAKING A FINAL

Mathematics
2 answers:
Musya8 [376]2 years ago
6 0

Answer:

2: For every gallon of gas purchased, $3.75 was paid.

Step-by-step explanation:

Both options 1 and 3 would require having a dot plotted at those points to be sure, and they're close but they're still approximations. And option 4 is irrelevant. However the point at (4,15) can be used to check option two: 15/4 = 3.75 , ie the price per gallon of gas.

katen-ka-za [31]2 years ago
3 0

Answer:

2: For every gallon of gas purchased, $3.75 was paid.

Step-by-step explanation:

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If the radius is 18 cm and the angle at centre of circle is 120° then the
PolarNik [594]

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }

Given that;

  • Radius r = 18 cm
  • Angle θ =  120°

Then. the area of the sector can be calculated as:

\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }

\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }

A = 339.336 cm²

Learn more about the area of a sector here:

brainly.com/question/7512468?referrer=searchResults

4 0
2 years ago
What is lemma?<br> ________________<br> Thx!
german
A subsidiary or intermediate theorem in an argument or proof.
Source: Wikipedia
5 0
3 years ago
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What number solves the equation x + 7.4 =11.2
Sunny_sXe [5.5K]

The value of x is 3.8

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

x + 7.4 = 11.2

We have to solve the equation for "x"

Move the terms so that you end up with only terms involving x on one side of the sign and all the numbers on the other

Therefore, we get

x + 7.4 = 11.2

When we move 7.4 from left side to right side of equation it becomes -7.4

x = 11.2 - 7.4

Subtract 7.4 from 11.2

x = 3.8

Thus value of x is 3.8

3 0
3 years ago
A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using substitution.
bixtya [17]

Answer:

option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Given : A math class is having a discussion on how to determine if the expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We have to choose the correct method from the given options that the class has suggested.

Since we have to show the given expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We will choose a single value of x  and then evaluate both the  given expression at that single value and if the output of both expression comes out to be same then the two expressions must be equivalent.

For example lets take x = 2,

Then  expression 4x - x + 5 becomes 4(2) - 2 +5 = 8 - 2 + 5 = 6 + 5 = 11

also, expression 8 - 3x - 3  becomes 8 - 3(2) - 3 = 8- 6 - 3 = 8  - 9  = -1

thus, the value is not equal hence, the two expression are not equivalent.

Thus, option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

6 0
3 years ago
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A farmer has a truckload of watermelons to take to market. At the beginning of the trip, the watermelons weigh 1000 kg. 99% of t
Mariulka [41]

Answer:

The weight of watermelon at the end of the trip is <u>500 kg.</u>

Step-by-step explanation:

Given:

The weight of watermelons is 1000kg.

At the beginning of the trip watermelon is 99% of the weight:

99% of 1000kg

\frac{99}{100}\times 1000

=0.99\times 1000

= 990 kg

Now, at the end of the trip it is 98% of weight. So, let x kg of water has been evaporated. So, remaining weight of the watermelon is 1000-x.

If x kg of water is removed, then the amount of water left is 990-x.

As per question, water now weighs 98% of the total weight. So,

98% of (1000-x) = 990-x

\frac{98}{100}\times (1000-x)=990-x

980-0.98x=990-x

-0.98x+x=990-980 (Bringing like terms on one side)

0.02x=10\\x=\frac{10}{0.02}=500\ kg

Therefore, the weight of watermelon at the end of the trip is given as:

Weight = 1000 - x = 1000 - 500 = 500 kg

Therefore, the watermelon weighs 500 kg at the end of trip.

7 0
3 years ago
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