Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would it take to travel 297 miles

Mathematics

1 answer:

zzz [600]3 years ago

8 0

Answer:

11 hours

Step-by-step explanation:

27 miles per hour. 297/27 equals 11. to double check 11 times 27 equals 297.

You might be interested in

Part 1.] Does the graph have even symmetry, odd symmetry, or neither?

QveST [7]

Part 1
The graph has even symmetry. You can see that because it is symmetric with respect to the y-axis.
Functions that have even symmetry have the following property:
$f(x)=f(-x)$
Part 2
To answer this we can simply check if the property we mentioned earlier holds for this function.
$sin(\frac{\pi}{2})\ne sin(-\frac{\pi}{2})$
We can see that sine does not have even symmetry.
In fact, sine function has the following property:
$sin(x)=-sin(x)$
This is called odd symetry.
Part 3
Take a look at the function that you attached in the picture. We know that function has even symmetry.
Reflection over x-axis and 180° rotation around the origin would give us -f(x). We would not end up with the same function, so these two are out.
90° rotation around the origin would mean we swapped x and y so that one is out too. Reflection over the line y=x is a property of functions that have an odd symmetry.
We are left with reflection around y-axis and, as mentioned before, this is the property of evenly symmetric functions.

4 0

3 years ago

Under his cell phone plan, Ian pays a flat cost of $59.50 per month and $5 per gigabyte. He wants to keep his bill under $80 per

inessss [21]

You would start by saying his budget is $80 so you start with 80= he pays an initial fee of $59.50 every month plus $5 per gigabyte so you would set it up like
80=59.50+5x
X being how many gigabytes he uses then you solve 80-59.50 is 20.5 divided by 5 gives you 4.1 but you round down cause you don’t want to pass the limit so therefor the most gigabytes he can use is 4

3 0

3 years ago

Solve the system of equations by subsitution. b = 4a +2 12a - 3b = -6

Vladimir [108]

Answer:

infinite solution

Step-by-step explanation:

hello

we substitute b = 4a + 2 in the second expression

12a -3*(4a+2) = -6

<=> 12a -12a -6 = -6

<=> -6 = -6

which is always true

so there is infinite solution

hope this helps

5 0

3 years ago

a 14 ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?

Y_Kistochka [10]

In this case u need to divide 10 1/2 by 14 coz theres 14 ones in 14
so 10 1/2 divided by 14 = 0.75
so theres 0.75 sugar in one ounce of drink ;)

5 0

3 years ago

What is 538x46 and how would u show ur work

mylen [45]

Ok listen close. Put 538 on top and 046 on the bottom. Line them up so you don't get confused. don't forget it's multiplication. Start from right to left. Your going to have to cancel out each of the bottom numbers. Cool. Now here's the equation. multiply 8x6. it's 48. put the 8 under the 6 and the 4 small up by the 3 in the 538. That's a remainder. Now it's time for the 3x6 with the remainder of 4. it's 18. now add the remainder to 18. 4+18=22. Put the single 2 next to the other answer just to the left. It should look like blankspacebecauseequationisn'tdone 28. Now Put the remainder (2) small right by the 5 in 538. Next is 5x6 with the remainder. It's 30+remainder of 1= 31 put both those numbers down next to the 28 answer space. It's now 3,128. Now this is where it gets tricky. put a 0 DIRECTLY BELOW the 8 in 3,128. This is for an equation later. Now you worked through the 6 part of 46, now you only have the 4 to work through. Now let's work through 8x4. it's 32. put the 2 right next to the 0 in the answer part. Put the remainder next to the 3 in 538. Now it's 3x4 +the remainder of 3. It's 12+ 3 + 15. Put the 5next to the 20 in the answer section under 3,128. It should look like blablabla 520. Now let's work out 5x4 With the remainder of 1 from the 15. It's 20 + 1= 21. Put the 21 right next to 520. It should look like 21,520. Now to finish this equation, add the top number 03,128 and the bottom number 21,520. Here if it's easier the equation. 03,128+21,520 which equals 24,748. Hope that helped!

5 0

3 years ago