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shtirl [24]
3 years ago
5

Find the area. Simplify your answer.

Mathematics
1 answer:
bija089 [108]3 years ago
6 0

Step-by-step explanation:

area of rectangle=length×breadth=(2x+3)(3x+7)

=6x²+9x+14x+21=6x²+23x+21

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After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form? Enter
Aliun [14]

Answer:

8.234 E14=8.234 \times 10^{14}

Step-by-step explanation:

The given number is 8.234 E14

We need to write this number in standard form.

Any no is given in the standard form is given by :

N=a\times 10^b

Where

a and b is real no and integer

It means,

8.234 E14=8.234 \times 10^{14}

Hence, this is the required solution.

6 0
3 years ago
A flatbed truck travels 144 miles in 5 hours. A semi-trailer truck travels 327 miles in 4 hours. A tanker truck travels 589 mile
GenaCL600 [577]

Answer:

<u>The semi-trailer truck has the fastest average speed</u>

Step-by-step explanation:

Let's recall that the formula of the average speed is:

Average speed = Distance/Speed

Now, we can calculate the average speed for each class of vehicle, as follows:

Flatbed truck average speed = 144/5 = 28.8 miles per hour

<u>Semi-trailer truck average speed = 327/4 = 81.75 miles per hour</u>

Tanker truck average speed = 589/15 = 39.27 miles per hour

Which truck has the fastest average speed?

<u>The semi-trailer truck has the fastest average speed</u>

4 0
3 years ago
A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the
zloy xaker [14]

<em><u>Complete Question:</u></em>

A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.

6H+ 4S> 74

This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?

<em><u>Answer:</u></em>

The least number of sun birds is 7

<em><u>Solution:</u></em>

Given inequality is:

6H + 4S > 74

Where,

H is the number of hummingbirds

S is the number of sunbirds

This year, 8 hummingbirds pollinated the colony

Substitute H = 8 in given inequality

6(8) + 4S > 74

48 + 4S > 74

Subtract 48 from both sides

48 + 4S - 48 > 74 - 48

4S > 26

Divide both sides by 4

S > 6.5

Hence the least number of sun birds is 7

7 0
3 years ago
Find the values of the apple, banana and lollypop below.<br><br> Pls help
maks197457 [2]

Answer:

a= Apple = 3

b= Banana =5

v= Lollypop=1

Step-by-step explanation:

36 is divided into 2 giving us 18

Let apple=a

Banana=b

Lollypop=c

In the first half

An apple + 3 bananas=18

a+3b=18 (1)

Second half is further divided into 2

That is,

18÷2=9

First half of the second half

3apples=9

3a=9 (2)

Second half of the second half

1 apple + 1 banana + 1 lollypop=9

a+b+c=9 (3)

a+3b=18 (1)

3a=9 (2)

a+b+c=9 (3)

From (2)

3a=9

Divide both sides by 3

a=9/3

a=3

Substitute a=3 into 1

a+3b=18

3+3b=18

3b=18-3

3b=15

Divide both sides by 3

b=15/3

=5

b=5

Substitute the value of a and b into (3)

a+b+c=9

3+5+c=9

8+c=9

c=9-8

c=1

Therefore,

a= Apple = 3

b= Banana =5

v= Lollypop=1

6 0
3 years ago
Find m&lt;LMN if m&lt;LMT=23 degree and m&lt;TMN=144 degree​
rodikova [14]

Answer:

∠LMN = 167°

Step-by-step explanation:

∠LMT = 23°

∠TMN = 144°

∠LMN = ∠LMT + ∠TMN

∠LMN = 23° + 144°

∠LMN = 167°

5 0
3 years ago
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