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worty [1.4K]
3 years ago
11

The length of a rectangle is 5 cm more than twice the width. The perimeter of the rectangle is 33 cm. Find the dimensions of the

rectangle.
Mathematics
1 answer:
tatiyna3 years ago
7 0
2w+2(5+2w)=33
2w+10+4w=33
6w=22
w=11/3 or 3 and 2/3
You might be interested in
A first number plus twice a second number is 14. Twice the first number plus the second totals 10. Find the numbers.
Nookie1986 [14]

Answer:

first number(x) = 2 second number(y)= 6

Step-by-step explanation:

This is an example of a simultaneous equation.

First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".

x + 2y = 14  (equation 1)

2x + y = 10  (equation 2)

This is solved using the elimination method.

We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.

2x + y = 10 MULTIPLY BY 2

4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)

Now subtract equation 1 from equation 2.

4x - x + 2y - 2y = 20 - 14  (2y cancels out here)

3x = 6

x = 2

Now we substitute our x value into equation 1 to find the value of y.

2 + 2y = 14

2y = 12

y = 6

Hope this has answered your question.

6 0
2 years ago
Read 2 more answers
What is the length of AB, with endpoints A (3,2) and B (8,14)?
velikii [3]
Answer is C. 13 Find with Magnitude  √(x1-x2)²+(y1-y2)²  = √25+ 144  = √169  = 13 units


6 0
3 years ago
Can you guys help me with this one please
PilotLPTM [1.2K]

Answer:

1 to 100,000

Step-by-step explanation:

1 km is equivalent to 100,000 cm.

3 0
2 years ago
At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger. The male tiger weighs 445 pounds. The differen
kolbaska11 [484]

The value of f is 348 pounds.

Given

At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger.

The male tiger weighs 445 pounds.

The difference in the weight of the tigers is 97 pounds.

<h3>Difference;</h3>

The meaning of DIFFERENCE is the quality or state of being dissimilar or different.

The zookeeper created the bar diagram and the equation below is given as:

\rm 445=f+97

On solving the equation the value of f is;

\rm 445=f+97\\\\f = 445-97\\\\f= 348

Hence, the value of f is 348 pounds.

To know more about the differences click the link given below.

brainly.com/question/11572024

4 0
2 years ago
Read 2 more answers
In a randomly selected sample of women ages 20–34, the mean total cholesterol level is 188 milligrams per deciliter with a stand
Vinvika [58]

Answer:

z=-2.33

And if we solve for a we got

a=188 -2.33*41.3=91.771

The highest total cholesterol level a woman in this 20–34 age group can have and still be in the bottom 1% is 91.771 mg per deciliter

Step-by-step explanation:

Let X the random variable that represent the cholesterol level of a population of women between 20-34, and for this case we know the distribution for X is given by:

X \sim N(188,41.3)  

Where \mu=188 and \sigma=41.3

We want to find the highest value for the bottom 1% in the distribution, so we need to find a value a who satisfy the following conditions:

P(X>a)=0.99   (a)

P(X   (b)

We can find a z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. And we can verify that on this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.099

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-2.33

And if we solve for a we got

a=188 -2.33*41.3=91.771

The highest total cholesterol level a woman in this 20–34 age group can have and still be in the bottom 1% is 91.771 mg per deciliter

5 0
3 years ago
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