The product of the following expression is 34,572 .

The width of a rectangle is one more than twice its length. If the rectangle's perimeter is 44 cm, then its length is ____ cm.

EleoNora [17]

Answer:

Part 1) The length is 7 cm

Part 2) The rate of return is r=11%

Step-by-step explanation:

Part 1)

Let

x ----> the length of rectangle

y ----> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(x+y)$

$P=44\ cm$

so

$44=2(x+y)$

simplify

$22=x+y$ -----> equation A

The width of a rectangle is one more than twice its length

so

$y=2x+1$ ----> equation B

substitute equation B in equation A

$22=x+(2x+1)$

solve for x

$3x+1=22\\3x=21\\x=7$

therefore

The length is 7 cm

Part 2) we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=1\ year\\ P=\$1,100\\ I=\$121\\r=?$

substitute in the formula above

$121=1,100(r*1)$

solve for r

$121=1,100(r)$

$r=121/1,100\\r=0.11$

Convert to percentage (Multiply by 100)

$r=0.11*100=11\%$

8 0

3 years ago

The coordinates of the vertices of the preimage of a parallelogram are (1,5), (3,3), (3,7), and (5,5). The coordinates of the ve

Ad libitum [116K]

The are -6,5 is the direction I am just trying to get point not right answer

6 0

3 years ago

Marni has 11 ounces of walnuts. She needs 6 ounces for one recipe and \frac {1}{4} 4 1 pound for another. There are 16 ounces

Katena32 [7]

Answer:

Yes she has enough walnuts for her two recipes

Step-by-step explanation:

Total number of walnuts that Marni has = 11 ounces

She has two receipe

First recipe = 6 ounces

Second recipe = 1/4 pounds

Hence,

To find out if she has enough:.we add up the number of ounces from both recipes

The second recipe is in pounds hence, we convert to ounces.

1 pound = 16 ounces

1/4 pound =

Cross Multiply

= 1/4 pounds × 16 ounces/1 pound

= 4 ounces

Hence, we can add up now

First recipe + Second recipe

= 6 ounces + 4 ounces

= 10 ounces.

Since both recipes would require a total of 10 ounces of walnuts and Marin has 11 ounces, we can conclude that Marin has enough ounces of walnuts for her two recipes.

5 0

3 years ago

Read 2 more answers

Help please all the point will go to the persons with the correct answer !!

amm1812

Answer:

(1,-2)

(1,-6)

(3,-3)

Step-by-step explanation:

8 0

3 years ago

At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.

irina1246 [14]

I believe about 2.22 this is average because you have to divide to find what the average is so if you divide 12oz by $5.40. Your answer would be about 2.222 so your answer should be 2.22 and as you check your work you can use addition I really hope this has helped :)

5 0

3 years ago