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DedPeter [7]
3 years ago
10

A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance f

rom point A will the car catch up with the truck?
Mathematics
1 answer:
Grace [21]3 years ago
3 0

Answer:

360 miles

Step-by-step explanation:

When the second car catches up with the first car they will have travelled the same distance which we call x miles.

Speed = distance / time

For first car   60  = x / t       where t = time taken

giving x = 60t

for second car   90 =  x / (t - 2)

giving x =  90t - 180

So equating these 2 equations

60t = 90t - 180

30t = 180

t = 6 hours

So x the distance  =  60t = 360 miles   answer

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The product of two numbers is 1296. If one number is16 times the other, find the number.
Crazy boy [7]

Answer:

81

Step-by-step explanation:

divide 1296 by 16 to get the answer

product means ___ x ____ = product

since 16 is one of the numbers and 1296 is the product, it looks like this 16x___=1296

7 0
2 years ago
Read 2 more answers
Let f be defined as shown.<br> What is f^-1(1)?
FinnZ [79.3K]

Answer:

From the above image when the input of f(x) is 9 the output is 1

So f^-1(1) is just the reverse when the input is 1 the output is 9

So f^-1(1) = 9

Hope this helps

6 0
3 years ago
Does Anybody know this? Find the area of the shaded sector
Sunny_sXe [5.5K]

Step-by-step explanation:

your teacher was very nice and warned you about the trap in the question.

so, really, what do we have to do ?

a full circle represents 360°.

the shaded sector is the full circle minus the white sector !

this is the same as directly calculating the shaded sector for 360-75 = 285°.

so, the area of a circle is

pi×r²

in our case

pi×20² = 400pi

the needed fraction of the whole circle is either

75/360, if we want to subtract it for the solution

or

285/360, if we want to calculate the solution directly.

both lead to the same result.

400pi×360/360 - 400pi×75/360 =

= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =

= 316.6666666...pi ≈ 316.7pi

8 0
2 years ago
NEEEEDD HEEELLLPPPP
rusak2 [61]

Option 2: \frac{x-12}{4} is the correct answer

Step-by-step explanation:

Given fraction is:

\frac{2x-24}{8}

In order to simplify, we can see that the function is already in compact form

So,

We can simplify the given fraction.

We can see that the numerator can be further simplified

\frac{2(x-12)}{8}\\=\frac{x-12}{4}

Hence,

Option 2: \frac{x-12}{4} is the correct answer

Keywords: Polynomials, expressions

Learn more about polynomials at:

  • brainly.com/question/9196410
  • brainly.com/question/9178881

#LearnwithBrainly

8 0
4 years ago
Justin is evaluating the expression 12.5 + 3.8x, when x is 7.9
sveticcg [70]
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5 0
3 years ago
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