# A rectangular piece of metal is 9 centimeters long and 6 centimeters wide. What is its area?

3 weeks ago

## Solution 1

Guest #7253082
3 weeks ago

54

Step-by-step explanation:

9x6

## 📚 Related Questions

Question
Hugo is a veterinarian. he knows the following information about his 41 patrons:

• 20 patrons in total do not have a dog.
• 17 patrons in total have a cat.
• 7 patrons have neither a dog nor a cat
Solution 1

The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.

### What exactly does "patron" mean?

formal a customer of a specific eatery, lodging facility, or other establishment. Only customers may use this parking lot. synonyms and words that are similar. a hotel or guest house stay.

Since there are a total of 41 customers, the number of those without cats is calculated as follows: 41 – 17 = 24.

13 people(20 - 7) do not own dogs but do own cats.

There are 4 persons who own both a dog and a cat (17 - 13).

The people who have a dog, and do not have a cat is  24 - 7 = 17, and the total of the people who have a dog is 17+4 = 21.

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Question
*1/2
*4 to 4
*2:1
*8/4
Solution 1

1/2

Step-by-step explanation:

shaded sections = 4

total sections = 8

4/8

(4:4)/(8:4)

1/2

Solution 2

The answer is 4:4.

Step-by-step explanation:

Question
Solution 1

El intercepto en y es 6,1

Step-by-step explanation:

Espero que esto ayude

Question
selling price of car if rs 50,000 , profit is 10% and cost price of car will be ?
Solution 1

Rs 45,000

Step-by-step explanation:

The profit is the difference between the selling price and the cost price of the car. In this case, the profit is 10% of the selling price, or 10% * Rs 50,000 = Rs 5,000.

Therefore, the cost price of the car is the selling price minus the profit, or Rs 50,000 - Rs 5,000 = Rs 45,000. This is the amount that the seller paid for the car, before adding the profit.

Question
Find the y-intercept of the line x+y=7.
Solution 1

(0,7)

Step-by-step explanation:

Question
What type of variation does the following equation represent:
R = kst / v²
Direct
Joint and Inverse
Inverse
Direct and Inverse
Joint
Solution 1

The correct option is Joint variation, because there is not only diect variation or inverse variation.

What is variation in mathematics?

It gives the relationship between a set of variables with the other set of variables.

Consider the given equation.

R = kst / v²

In this question, details of variables is not given hence, consider k is constant and s, t, and v are variables.

Direct variation: When one variable is directly proportional to the other variable then the relation is known as direct variation.

Joint variation: When a variable depends directly or inversely on 2 or more than two variables then the variabtion is known as Joint variation.

Inverse: When a variable varies inversaly with respect to other variable then the the variation is known as inverse variation.

In the equation, there are 3 variables, R varies directly as s and t and varies inversely as $$v^2$$.

Hence, the correct option is Joint variation, because there is not only diect variation or inverse variation.

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Question
When you apply the method to complete the square to find the solution to the equation
2x^2 +3x +3=4
What term should we sum/add on both sides of the equation?

A. 9
B. 9/4
C. 3/2
D. 9/16
Solution 1

B

Step-by-step explanation:

2x²+3x=4-3=1

2x²+3x=1

to make it a perfect square we divide the coeff of X by 2 then square it and add it to both sides

=(3/2)²=9/4

Question
Find the x-intercept of the line 7x+7y= – 1.
Solution 1

(-1/7 ; 0)

Step-by-step explanation:

the line intercepts the x axis when y = 0

7x + 0 = -1

7x = - 1

7/7 x = -1/7

x = -1/7

Solution 2

The x intercept is -1/7

( -1/7 , 0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

7x+7y = -1

y =0

7x+7(0) = -1

7x +0 = -1

7x = -1

Divide by 7

7x/7 = -1/7

x = -1/7

The x intercept is -1/7

( -1/7 , 0)

Question
When you apply the method to complete the square to find the solution to the equation
2x^2 +3x +3=4
What term should we sum/add on both sides of the equation?

A. 9
B. 9/4
C. 3/2
D. 9/16
Solution 1

B

Step-by-step explanation:

x² + 3x + 3 = 4 ( subtract 3 from both sides )

x² + 3x = 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2( $$\frac{3}{2}$$ )x + ($$\frac{3}{2}$$ )² = 1 + ( $$\frac{3}{2}$$ )²

(x + $$\frac{3}{2}$$ )² + $$\frac{9}{4}$$ = 1 + $$\frac{9}{4}$$

that is $$\frac{9}{4}$$ is added to both sides

Question
The variable y varies jointly with x and w when y = - 42, x = 2, and w = -3.
1.) Find the constant of variation.
k=
Solution 1

k = 7

Step-by-step explanation:

given y varies jointly with x and w then the equation relating them is

y = kxw ← k is the constant of variation

to find k use the condition when y = - 42, x = 2 and w = - 3 , then

- 42 = k × 2 × - 3

- 42 = - 6k ( divide both sides by - 6 )

7 = k

constant of variation is k = 7

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