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Mariana [72]
3 years ago
9

A race car can go around the track 48 times in 8 minutes how many times can the race car go around per minute

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

Step-by-step explanation:

6

cause you take 48/8 equals 6

hope this heps:)

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If f(x) =ax+b ,f(-3)=-4 and f(3)=2, find the value of a and b please help​
hichkok12 [17]

Answer:

a = 1

b = -1

Step-by-step explanation:

First, let's make equations out of those given f(x)'s

-4 = -3a + b

2 = 3a + b

We can use elimination method to get rid of the a real quick

-4 = b

2 = b

Add those together

-2 = 2b

Divide both sides by 2

-2/2 = 2b/2

b = -1

Plug in the new b in one of the original equations; I'm gonna use the bottom one

2 = 3a - 1

+ 1        + 1

3 = 3a

3/3 = 3a/3

a = 1

4 0
2 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
Help I don’t get it..
yan [13]

Answer:

Step-by-step explanation:

the shape looks like a cube.. and maybe they say something about that outside of the picture, even but assuming that it is a cube, we know all the sides are the same.

we also know that the area of one side of the cube is  3 \frac{1}{4}

so multiply that  

W x L = area

 3 \frac{1}{4} * 3 \frac{1}{4} = area

10 \frac{9}{16}  = area

10.5625 = area

those two answer above are the same .. just one is in fractions and one is in decimals

there are 6 sides on a cube, so multiply the above answer by 6

6* answer = 63.375

63 \frac{3}{8}  ( this is your answer)

both of those are also identical , but look different for the reasons I mentioned above

use which ever from seems better to you.  :)

8 0
3 years ago
Suzanna uses a 1/4 cup measuring scoop to make her coffee. If she needs to fill her coffee filter with 2 cuos of coffe grounds,h
lilavasa [31]

Answer:

8

Step-by-step explanation:

1/4 times 8 is 2

6 0
3 years ago
Twenty seven minus 3/2 of a nuber x is not more than 36. What is the number?
Irina-Kira [14]

Answer:

Step-by-step explanation:

27 - 1.5x ≤ 36

54 - 3x ≤ 72

54 - 72 ≤3x

-18 ≤ 3x

-6 ≤ x

x ≥ -6

3 0
3 years ago
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