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ale4655 [162]
4 years ago
11

Rectangle A has a length of 2x + 6 and a width of 3x. Rectangle B has a length of x + 2 and an area of 12 square units greater t

han Rectangle A’s area. What is a simplified expression for the width of Rectangle B?
x + 2
x + 1
6x + 6
6(x + 2)(x + 1)
Mathematics
1 answer:
Maurinko [17]4 years ago
7 0
So here is how you solve for the answer.
Firstly, you solve for the Area of Rectangle A.
The formula for Area is Length x width.
So A = (2x + 6)(3x) and the result is: 6x^2 + 18x
Now, let y be the width of rectangle B.
<span>(x+2) (y) = 6x^2 + 18x + 12
(x+2) y = 6(x+1)(x+2)
y = 6(x+1)
</span>So the final answer would be width is 6x + 6. The answer is the third option. Hope this answer helps.
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The driving distance from Chicago to San Francisco is 2,142 miles. The Hathaway family left Chicago on Monday morning, December
Mekhanik [1.2K]

Answer:

They arrive on Monday, December 13th

Step-by-step explanation:

First, we know that this family must drive a total of 2,142 miles.

They average 50 miles per hour and drive 6 hours each day, thus we can see that they drive (50)(6)=300 miles per day.

Now, to know how many days it will take them to drive the total of 2,142 miles we are going to divide the total amount of miles between the number of miles driven per day:

2,142÷300= 7.14

Thus, it takes them 7.14 days to drive 2,142 miles.

If we round this (since the number is greater than 7 this would mean it takes them more than 7 days and they would stop at 7 for the day) to the next digit, we would have that it will take them 8 days to get to San Francisco.

Thus, since they start on December 6th (day 1), December 7th would be day 2 and following this pattern we would have that the eighth day would be December 13th.

Now, since the days repeat every 7 days and we now that December 6th was monday, we would have that the day they arrive to San Francisco (December 13th) is monday too.

4 0
3 years ago
The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length
ad-work [718]

Answer:

The explicit formula for Arithmetic Sequence is a_n=7.02+0.33n

Step-by-step explanation:

Given: Foot length & shoe size in AP.

           a_n is foot length and n is shoe size.i.e., a_{12}=11\:and\:a_7=9.33

To find: Formula for Arithmetic sequence .i.e., a_n

From question,

a_{12}-a_7=11-9.33=1.67

Also, we know that

a_{12}=a_7+5d\\5d=a_{12}-a_7\\5d=1.67\\d=\frac{1.67}{5}\\\\d=0.33        

Now, consider

a_7=a_1+6d\\a_7=a+6d\\a=a_7-6d\\a=9.33-6\times0.33\\a=9.33-1.98\\a=7.35

Thus using formula of a_n we get,

a_n=a+(n-1)d\\a_n=7.35+(n-1)\times0.33\\a_n=7.35+0.33n-0.33\\a_n=7.02+0.33n

Therefore, The explicit formula for Arithmetic Sequence is a_n=7.02+0.33n

 

4 0
3 years ago
Read 2 more answers
Ava is in charge of bringing bottled water to a party that has 42 guests.
olya-2409 [2.1K]

Answer:

a - about 3 packs cause you have to round up

b - $50.76

Step-by-step explanation:

First you divide 42 and 18.

42/18=2.33

You have to round up cause you can't have half of a pack, you can't just buy half of a pack.

So, it is rounded to 3 packs.

Next you have to multiply the number of packs and the cost of each pack of water bottles.

16.92*3=$50.76

a - you have to buy 3 packs

b - the total cost is $50.76

8 0
3 years ago
Simplify./ Simplificar. 6(-2a + 4 + 3a)*
Salsk061 [2.6K]

Answer:

6a + 24

Step-by-step explanation:

-12a + 24 + 18a = 6a + 24

3 0
4 years ago
Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what inter
Artist 52 [7]

Answer:

r=5.86%

Step-by-step explanation:

5 0
3 years ago
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