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2 years ago

Expand and simplify (x+2)(x+3)

1 answer:

5 0

X multiplied by x is x squared
x multiplied by 3 is 3x
2 multiplied by x is 2x
2 multiplied by 3 is 6

x squared + 3x + 2x + 6
x squared + 5x + 6

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A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere

alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat = x mph

Let The speed of current = mph

Now, According to question

∵ Speed = $\dfrac{Distance}{Time}$

For Downstream

x + y = $\dfrac{D}{T}$

Or, x + y = $\dfrac{10.5}{1.5}$

Or, x + y = 7 .......A

For Upstream

x - y = $\dfrac{d}{t}$

Or, x - y = $\dfrac{10.5}{3.5}$

Or, x - y = 3 .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴ x = $\dfrac{10}{2}$

i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

7 0

2 years ago

The length of a rectangle is 5 inches less than twice its width. The perimeter of the rectangle is 26 inches. What is the width

Yakvenalex [24]

Answer:

w= 6

Step-by-step explanation:

I just started by making an educated guess using the values already given. Then I inserted that into the problem to see if it worked.

L= 2w - 5

I used 6 as a random, educated guess for the value of w.

L = 2(6) - 5

L = 12-5

L = 7

Then, multiply L by 2 to account for both side lengths of the rectangle.

7(2)= 14

Subtract that value from the total perimeter to find what the width must equal.

26 - 14 = 12

Divide that answer by 2 since there are two sides for width.

12/2 = 6

I know this was kind of long, but I hope it helps! :)

3 0

2 years ago

What is 9.39 to one decimal place

mafiozo [28]

9.4 because the number after the firs decimal point is higher than 5

5 0

2 years ago

Pls help! 5,6,7 30 points

Deffense [45]

Jon=x-2 jor=x

2(x-2)=x+6

2x-4=x+6

combine like terms

x=10 Jordan's age

x-2 or 10-2 =8 Jonathan's age

13-10= 3 years apart

when aylon was 3 Karina was 6

2×3 =6

this was 7 years ago(answer)

10-3=7

13-6=7

48-36=12 years apart

when kd was 6 and md 18

3×6=18

30 years ago

36-6=30

48-18=30

3 0

3 years ago

A family of 17 are trying to get back to their island for Christmas when disaster strikes – their ship hits a rock and will sink

wlad13 [49]

Answer: 13

Althoug each round trip takes 9 minutes and can carry 5 people on the boat, you can not just divide the 20 minutes time by 9 and multiply by 5 to find the number of people that are saved without getting wet.

First trip:

5 people take the boat to the island but only 4 can stay, because one has to return with the boat to the ship to rescue other 4 people.

So, when 9 minutes have passed, 4 people are safe on the island and the boat is again by the ship.

Second trip:

In the second trip, other 4 people are rescued,along with "sailor" who returned in the boat to rescue them.

When it has passed 18 minutes, the boat is next to the ship agin to carry other 4 people before the boat sinks.

This is the last trip before the boat sinks. So, the total number of passengers rescued is 4 + 4 + 5 = 13

8 0

3 years ago

Read 2 more answers