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3 years ago

12

The length of a rectangle is 8m less than three times the width, and the area of the rectangle is 35m^2. Find the dimensions of

the rectangle.

1 answer:

vovikov84 [41]3 years ago

6 0

Answer:

W = 5 L = 7

Step-by-step explanation:

L = 3W - 8

A = 35

I plugged in 5 for W and got 7 as L.

L x W or 7 x 5 = 35

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Chen writes down a two digit number. He finds out that if he swapped the numbers, it would be three more than the 1/3 of the ori

inna [77]

Answer:

Step-by-step explanation:

From the information given,

Let the two digits that Chen writes down to be p and q

where,

q will be in the unit place and p will be in the tens place.

So, the value of the digit = 10p + q

So, if he swapped the number, he will have 10q + p

However,

the new number determined is thrice more than the 1/3 pf the original number.

i.e

the 1/3rd of the original number = $\dfrac{1}{3}(10p+q)$

= $\dfrac{10p+q}{3}$

thrice more than that will be = $\dfrac{10p+q}{3} + 3$

∴

$\dfrac{10p+q}{3} + 3 = 10q+p$

multiply through by 3, we have :

10p+q + 9 = 30q + 3p

collecting the like terms, we have:

10p - 3p +q -30q +9 = 0

7p - 29q +9 = 0

7p - 29q = -9

Therefore, p,q lie between 0 and 9

Therefore, the possibility of the original number is p = 7 and q = 2

8 0

3 years ago

Bruce walks 3/4 mile in 1/5 hour. What is his speed in miles per hour? (label your answer mph) * worth 25 points and brainlyiest

LenKa [72]

The answer to this question is 3.75

3 0

2 years ago

Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co

FromTheMoon [43]

Answer:

77 nickels

106 dimes

Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

$0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106$

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

4 0

2 years ago

Give another name plane L

horrorfan [7]

Answer:

Any one of these three works:

plane MOU

plane MNU

plane NOU

Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.

plane L can be named

plane MOU

plane MNU

plane NOU

Do not name it plane MNO

6 0

3 years ago

A stack of 5 books weighs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?

hjlf

Answer: The same amount of book weighed is 14.5.

Step-by-step explanation:

So there is 5 books

9.5 pounds

9.5 + 5 = 14.5

So, Each book weighs about 14.5.

8 0

2 years ago