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PIT_PIT [208]
3 years ago
5

20 POINTS¡!!!!!

Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0
It’s traveling at 511 kilometers per hour
Anna71 [15]3 years ago
7 0
The unit rate that the boat can travel during this time frame is 511 kilometers in 1 hour.
You might be interested in
Which fraction is equivalent to<br> -(7/8)?
allochka39001 [22]

Answer:

35

Step-by-step explanation:

So from 7/8 = 35/40, 35 is the answer.

7 0
3 years ago
The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
A coin and a die are tossed. Calculate the probability of getting tails and a 5.
e-lub [12.9K]

Answer:

1/4

Step-by-step explanation:

2/8 a die has has 6 sides and a coin has 2 sides add them up thats 8 sides in total. Then you get 2/8 simplify it and you get 1/4. I'm bad at Math but I'm pretty sure this is right.

7 0
3 years ago
Please help me ! Reduced to lowest terms
Mandarinka [93]

Answer:

Step-by-step explanation:

7) 2ab + 4ac = 2*a*b + 2 *2 *a*c

                     = 2a(b + 2c)

\dfrac{2ab^{2}c}{2ab+4ac}=\dfrac{2*a* b^{2}*c}{2a(b+2c)}\\\\\\\text{2a in the denominator and numerator get cancelled}\\\\ = \dfrac{b^{2}c}{b+2c}

8) ac - a²c² = c( a - a²c)

bc - abc     = c(b - ab)

\dfrac{ac - a^{2}c^{2}}{bc-abc^{2}}=\dfrac{c(a-a^{2}c)}{c(b-ab)}\\\\

               =\dfrac{a-a^{2}c}{b-abc}

9) b²+ 4b - 5 = b² + 5b - 1b - 5

                    = b(b + 5) - 1(b + 5)

                    = (b +5)(b - 1)

b² + 8b  + 15 = b² + 5b + 3b + 15

                    = b(b + 5) + 3(b + 5)

                    = (b + 5 )(b + 3)

\dfrac{b^{2}+4b-5}{b^{2}+8b+15}=\dfrac{(b+5)(b-1)}{(b+5)(b+3)}\\\\\\

                     =\dfrac{b-1}{b+3}

8 0
2 years ago
5x6-1+3=28 brackets or braces should be added
Artyom0805 [142]
5 · (6 - 1) + 3
= 5·5 + 3
= 25 + 3
= 28
7 0
3 years ago
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