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2 years ago

Dexter paid $74.94 for 201/5 gallons of gas. What's the price of gas where Dexter filled up his vehicle?

Mathematics

1 answer:

densk [106]2 years ago

3 0

Answer:

$1.90 approx

Step-by-step explanation:

Given data

Amount paid= $74.94

Amount of gallons= 201/5 gallons of gas

= 201/5

=40.2 gallons

let us find the unit cost per gallons

Unit cost per gallon is = 74.94/40.2

Unit cost per gallon=$1.86

The price of gas is $1.90 approx

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JulijaS [17]

Answer: The area of the circular wooden table = 50.24 ft²

Step-by-step explanation:

Given: The radius of the circular table = 4 feet

We know that area of a circle is given by :-

$\text{Area}=\pi r^2$

Therefore, the area of circular wooden table is given by :-

$\text{Area}=3.14(4)^2\\\Rightarrow\ 3.14\times16\\\Rightarrow\text{Area=}50.24\ ft^2$

The area of the circular wooden table = 50.24 ft²

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2 years ago

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Examine the following steps. Which do you think you might use to prove the identity Tangent (x) = StartFraction tangent (x) + ta

Over [174]

Answer:

The correct options are;

1) Write tan(x + y) as sin(x + y) over cos(x + y)

2) Use the sum identity for sine to rewrite the numerator

3) Use the sum identity for cosine to rewrite the denominator

4) Divide both the numerator and denominator by cos(x)·cos(y)

5) Simplify fractions by dividing out common factors or using the tangent quotient identity

Step-by-step explanation:

Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;

tan(x + y) = sin(x + y)/(cos(x + y))

sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))

(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))

(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)

∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)

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2 years ago

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If n-8=-3, what is 3n?

wlad13 [49]

Answer:

Step-by-step explanation:

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2 years ago

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MatroZZZ [7]

Answer:

see below

Step-by-step explanation:

(x) = 7 - 2x

Let t(x) =0

0 = 7-2x

Subtract 7 from each side

-7 = -2x

Divide by -2

-7/-2 =-2x/-2

7/2 =x

h(x) = 4x + 2

Replace x with x+3

h(x+3) = 4(x+3) + 2

Distribute

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2 years ago

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The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

slamgirl [31]

Answer:

The score is $x = 1884$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 1500$

The standard deviation is $\sigma = 300$

From the question we are told that the score follow a normal distribution

i.e $X \~ \ N( 1500 , 300)$

The proportion of score in the top 10% is mathematically

$P(X > x ) = P( \frac{X - \mu}{\sigma } > \frac{x - \mu}{\sigma } ) = 0.10$

Where x is the minimum score required to be in the top 10%

Now the $\frac{X - \mu}{\sigma } = Z (The \ Standardized \ value \ of \ X)$

$P(X > x ) = P( Z > \frac{x - \mu}{\sigma } ) = 0.10$

$P(X > x ) = P( Z > \frac{x - 1500}{300} ) = 0.10$

So the critical value of 0.10 from the normal distribution table is $Z_{0.10} = 1.28$

$\frac{x - 1500}{300} = 1.28$

$x = 1884$

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2 years ago