Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first rate. How many miles did Mr. Anderson drive during 5 3/4 hours? (Middle school)

Answers

Answer 1
Answer: Remember that distance = rate times time.

First distance = 168 miles; time was 3.5 hours.  Rate was 48 mph.
5 miles per hour faster than that was 53 mph.

Second distance = (2 1/4 hours)*(53 mph) = 119.25 miles

Total distance driven in those 5 3/4 hours:  168 mi + 119.25 mi = 287.25 mi

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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

The quadratic function f(x) = x² - 5x + 12 has a parabolic graph that opens upwards. It passes through the point (0, 12) and does not contain the point (20, -8).

The quadratic function f(x) = x² - 5x + 12 is a second-degree polynomial with a leading coefficient of 1. It has a graph that is a parabola, which opens upwards since its leading coefficient is positive. The statement "the graph contains the point (0, 0)" is true because the y-intercept is found by evaluating f(0) which equals 12. The statement "the graph contains the point (20, -8)" is false because plugging in x = 20, we get f(20) = 212 which is not equal to -8. The statement "the graph of the function opens down" is false, as stated before, the graph of the function opens upwards.

Learn more about quadratic functions here: brainly.com/question/18958913

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Which of the following choices is the subject of this simple sentence? The corn grew as tall as the fence.

Answers

The answer is corn it is the subject

Final answer:

The subject of the simple sentence "The corn grew as tall as the fence." is "the corn".

Explanation:

The subject of the simple sentence "The corn grew as tall as the fence." is "the corn". The subject is the noun or pronoun that the sentence is about or that performs the action of the verb. In this sentence, the corn is the noun that grows, so it is the subject.

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The area of the parallelogram is 96 square miles. Find its base and height.

Answers


You can't. There are an infinite number of different parallelograms,
with different dimensions, that all have area of 96 square miles.

Knowing the area doesn't tell you the dimensions.

Here are a few parallelograms with areas of 96 square miles:

-- square, every side  4√6  miles long

-- rectangle, 12 miles long, 8 miles wide

-- parallelogram, base=32 miles,    height=3 miles

There are an infinite number of others.


What would be the answer if I substituted the x for zero?
plz help!!

Answers

The answer would be -5
The answer would be negative five. Anything multiplied by zero is zero so that cancels the 2x^3, leaving you 0-5. Which is -5. 

Find the inverse of the one to one function. f(x)=2x+5/7

Answers

f(x)=(2x+5)/(7)\n\n y=(2x+5)/(7)\n 7y=2x+5\n 2x=7y-5\n x=(7y-5)/(2)\n \boxed{f^(-1)(x)=(7x-5)/(2)}

What is the square root of 64

Answers


Positive 8 and negative 8 both are.


the square root of 64 is 8 or -8
because 8²=64 and (-8)²=64