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ELEN [110]
3 years ago
15

Malcolm and Ravi raced each other.

Mathematics
1 answer:
il63 [147K]3 years ago
7 0

The problem can be represented by two equations:

 

The average of the two speeds are 260 km/hr.  ->   1/2(X + Y) = 260

Twice Malcom's speeds is 80 more than Ravi's speed -> 2X - Y = 80

where X = Malcom's maximum speed, Y = Ravi's maximum speed.

 

This is two equations in two unknowns:

 

1)X + Y = 520

2)2X - Y = 80

 

add equations 1 and 2

 

3X = 600

X = 200,

 

Plug X back into equation 1.

 

200 + Y = 520 -> Y = 320.

 

Malcom's maximum speed is 200 km/hr.

Ravi's maximum speed is 320 km/hr.

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7. Factor the expression.<br> 42 - 64
Dmitriy789 [7]

Answer:

-22 = -2^1×11^1

Step-by-step explanation:

Factor the following integer:

-22

Hint: | Is 22 divisible by 2?

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

-22 = -2×11

Hint: | Now try to factor 11. Is 11 divisible by 2?

11 is not divisible by 2 since 11 is odd and 2 is even:

-22 = -2×11 (11 is not divisible by 2)

Hint: | Is 11 divisible by 3?

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

-22 = -2×11 (11 is not divisible by 2 or 3)

Hint: | Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-22 = -2×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-22 = -2×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-22 = -2×11

Hint: | Express -22 as a product of prime powers.

There is 1 copy of 2 and 1 copy of 11 in the product:

Answer: -22 = -2^1×11^1

3 0
2 years ago
9.56 minus 8.88 equals
Firdavs [7]
.68
.................................................
8 0
3 years ago
Read 2 more answers
What number is 32% of 75?
Elza [17]
What is 32% of 75? Y is 32% of 75. Equation: Y = P% * X. Solving our equation for Y: Y = P% * X. Y = 32% * 75. Converting percent to decimal: p = 32%/100 = 0.32. Y = 0.32 * 75 . Y = 24. Answer is 24.
4 0
3 years ago
Read 2 more answers
 Please Help!!!
Alexandra [31]
The answer is 1.715 hope I helped
4 0
3 years ago
I need help with b. please
aniked [119]
Its 1/5, 

35/100 - 15/100 = 20/100

for 20, 40, 60, 80, 100
      1,   2,   3,   4,   5

so 20/100 = 1/5
8 0
2 years ago
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