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Scorpion4ik [409]
2 years ago
6

a traveling salesman drives his car 30000 miles a year. His car travels 16 miles to the gallon of gas. How many gallons of gas d

oes he use in a year I will mark brainlist whoever solve it correct
Mathematics
2 answers:
DENIUS [597]2 years ago
4 0

Answer:

187.5 gallons

Step-by-step explanation:

Make a proportion

\frac{16 miles}{1 gallon} = \frac{3000 miles}{x}

3000/16 = 187.5, so multiply 1 by 187.5 to find the gallons used in a year

This gets you 187.5 gallons used in a year

qaws [65]2 years ago
3 0

Answer:

1875 gallons of gas

Step-by-step explanation:

He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 1875 gallons of gas.

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Which equation represents a linear function on I ready quiz
vitfil [10]

Answer:

Step-by-step explanation:

a function with a graph that is a non-vertical straight line, which can be represented by a linear equation in the form of y = mx + b

3 0
2 years ago
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If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? A. x + 12 ≤ 2(5 − y) B. x + 12 ≤ 2x − 3 C. x + 12 ≤ 2(x −
anyanavicka [17]

Answer: The correct option is,

C. x + 12 ≤ 2(x − 3)

Step-by-step explanation:

Given inequalities,

x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3)

Let a = x + 12, b = 5 - y and c = 2(x-3)

Here, a ≤ b and b ≤ c

Since, by using the transitive property of inequality,

⇒ a ≤ c

⇒ x + 12 ≤ 2(x − 3)

Therefore, OPTION C is correct.

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2 years ago
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What is the range of the exponential function shown below
Vsevolod [243]

Answer : y>0

f(x) = 9*2^x

f(x) is an exponential function

f(x) = 9*2^x

When we plug in positive value for x , the value of y is positive

When we plug in negative value for x , the value y is also positive

So for any value of x, the y value is positive always.

Range is the set of y values for which the function is defined

y values are positive , so range is y >0

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2 years ago
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Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a
Keith_Richards [23]

Answer:

A(t)=−1.8t−4.5

Step-by-step explanation:

Mr. Mole is descending at a constant rate, so we are dealing with a linear relationship.

We know that Mr. Mole descended at a rate of 1.81.81, point, 8 meters per minute, so the slope \green mmstart color green, m, end color green is \green{-1.8}−1.8start color green, minus, 1, point, 8, end color green, and our function looks like A(t)=\green{-1.8}t+\pink bA(t)=−1.8t+bA, left parenthesis, t, right parenthesis, equals, start color green, minus, 1, point, 8, end color green, t, plus, start color pink, b, end color pink.

We also know that after 555 minutes, Mr. Mole was 13.513.513, point, 5 meters below the ground, which means that A(5)=-13.5A(5)=−13.5A, left parenthesis, 5, right parenthesis, equals, minus, 13, point, 5. We can substitute this into the formula of the function to find \pink bbstart color pink, b, end color pink:

\qquad\begin{aligned}A(5)&=-13.5\\ \green{-1.8}\cdot5+\pink b&=-13.5\\ -9+\pink b&=-13.5\\ \pink b&=\pink{-4.5}\end{aligned}  

A(5)

−1.8⋅5+b

−9+b

b

​    

=−13.5

=−13.5

=−13.5

=−4.5

​  

This means that Mr. Mole's initial altitude is 4.54.54, point, 5 meters below the ground.

AKA the answer is A(t)=−1.8t−4.5

3 0
2 years ago
Solve the following inequality: 38 < 4x + 3 + 7 – 3x.
DochEvi [55]
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38 < 4x - 3x + 3 + 7 (combine like terms)
38 < x + 10 (simplify)
38 - 10 < x + 10 - 10 (subtract 10 from both sides to get (x) alone)
28 < x (simplify)
x > 28 (switch to get x on the left (its proper equation writing >.<) ) 
7 0
2 years ago
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