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Serga [27]
4 years ago
14

the length of a rectangle is 5 less than twice its width if the perimeter of the rectangle is 146 centimeters find the dimension

s of the rectangle
Mathematics
1 answer:
Schach [20]4 years ago
6 0

Answer:

Width = 26cm

Length = 47cm

Step-by-step explanation:

Let the width be x cm

The length will be 2x - 5 cm

Perimeter is 146cm

Perimeter is given by (2 × length) + (2 × width)

2(x) + 2(2x - 5) = 146cm

2x + 4x - 10 = 146

6x = 146 + 10 , x = 156/6 = 26cm

x (width) = 26 cm

Length is 2(26) - 5 = 47cm.

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How much money would you need to make your house payment which your house payment is $200 a month and you need to make sure you
Mrac [35]

Answer:

415$

Step-by-step explanation:

This might seem a bit confusing, and the best thing you can do is simplfy this and pick out all the important information. Here is what I gathered:

So, we know we need 200$.

We also need 115$.

Then we need 100$..

To find how much money we need in  total, lets add these all up:

200+115

=

315

315+100

=

415

So the total money we need is 415!

Hope this helps!

7 0
3 years ago
Read 2 more answers
8a to the power of 6 times a to the power of 4 over 4a to the power of -3
svetlana [45]

Answer:

(8a)⁻¹⁸

1 / (8a)¹⁸

Step-by-step explanation:

(((8a)^6a)^4/4a))^-3

((8a)^6a*4/4a)^-3

((8a)^6)^-3

(8a)^6*(-3)

(8a)⁻¹⁸

1 / (8a)¹⁸

4 0
3 years ago
Suppose A and B are dependent events. If P(A) = 0.5 and P(BIA) = 0.6, what is
klasskru [66]

If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.

<h3>Which pair of events are called independent events?</h3>

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

P(A ∩ B) = P(A)P(B)

Comparing it with chain rule will give

P(A|B) = P(A)

P(B|A) = P(B)

Suppose A and B are dependent events.

If P(A) = 0.5

Then P(A|B) will be

P(A|B) = P(A)

P(A|B) = 0.5

Then the correct option is B.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

4 0
2 years ago
What is the smallest number which when decreased by 8 is divisible by 21, 27, 33, and 55?.
evablogger [386]

The required number which when decreased by 8 is divisible by 21, 27, 33, and 55 is 10403.

We need to find the smallest number which when decreased by 8 is divisible by 21, 27, 33, and 55.

<h3>What is LCM?</h3>

The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

We find the LCM of 21, 27, 33, and 55.

3 | 21   27   33   55

3 | 7     9     11    55

3 | 7     3     11    55

7 | 7     1     11    55

5 | 1     1     11    55

11 | 1     1     11    11

 | 1     1     1     1

When decreased by 8, we have to add 8 in the LCM of the numbers.

That is 10395+8=10403

Therefore, the required number when decreased by 8 is divisible by 21, 27, 33, and 55 is 10403.

To learn more about the LCM of numbers visit:

brainly.com/question/10942748.

#SPJ4

8 0
2 years ago
Write an expression using the distributive property that can be used to find the quotient of 126 divided by 7
mina [271]
Well, let's discover how many times 7 goes into 126 first.

7 x 11 = 77
7 x 12 = 84
7 x 13 = 91
7 x 14 = 98
7 x 15 = 105
7 x 16 = 112
7 x 17 = 119
7 x 18 = 126

Well, 7 goes into 126 - 18 times - therefore the quotient is 18. The use of the distributive property wouldn't be necessary.

Nevertheless, you could say that:

\frac { 126 }{ 14 } \\ \\ =\frac { 140-14 }{ 7 } \\ \\ =\frac { 140 }{ 7 } -\frac { 14 }{ 7 } \\ \\ =20-2\\ \\ =18

* I've used the distributive property above.
8 0
3 years ago
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