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hichkok12 [17]
3 years ago
10

What is an example of a word problem

Mathematics
1 answer:
Contact [7]3 years ago
6 0

Phoebe bought 28 ounces of gourmet cheese for a fondue. If the cheese sells for ​$6.00 per​ pound, how much will Phoebe pay for 28 ounces of gourmet​ cheese?


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Find the volume of the given solid. Under the surface z = 6xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
Leya [2.2K]

he volume of the solid under a surface  

z

=

f

(

x

,

y

)

and above a region D is given by the formula  

∫

∫

D

f

(

x

,

y

)

d

A

.

Here  

f

(

x

,

y

)

=

6

x

y

. The inequalities that define the region D can be found by making a sketch of the triangle that lies in the  

x

y

−

plane. The bounding equations of the triangle are found using the point-slope formula as  

x

=

1

,

y

=

1

and  

y

=

−

x

3

+

7

3

.

Here is a sketch of the triangle:

Intersecting Region

The inequalities that describe D are given by the sketch as:  

1

≤

x

≤

4

and  

1

≤

y

≤

−

x

3

+

7

3

.

Therefore, volume is

V

=

∫

4

1

∫

−

x

3

+

7

3

1

6

x

y

d

y

d

x

=

∫

4

1

6

x

[

y

2

2

]

−

x

3

+

7

3

1

d

x

=

3

∫

4

1

x

[

y

2

]

−

x

3

+

7

3

1

d

x

=

3

∫

4

1

x

[

49

9

−

14

x

9

+

x

2

9

−

1

]

d

x

=

3

∫

4

1

40

x

9

−

14

x

2

9

+

x

3

9

d

x

=

3

[

40

x

2

18

−

14

x

3

27

+

x

4

36

]

4

1

=

3

[

(

640

18

−

896

27

+

256

36

)

−

(

40

18

−

14

27

+

1

36

)

]

=

23.25

.

Volume is  

23.25

.

4 0
2 years ago
**8. At a buffet restaurant, the price for dinner for an adult is $6.95 and the price for dinner for a child is $3.95. A
qaws [65]

Answer is A

Step-by-step explanation:

3 0
2 years ago
What is the perimeter of this polygon? Round your answer to the nearest<br> tenth
bulgar [2K]

Answer:

A

Step-by-step explanation:

pythagorean theorem

A^2+B^2=C^2 do that for all sides then add

6 0
2 years ago
Read 2 more answers
An envelope contains $1.20 in dimes and nickels. if the dimes were quarters and the nickels were dimes, there would be $1.35 mor
balu736 [363]

The nickels in the envelope is $0. 12

<h3>How to determine the number</h3>

From the information given, we have that;

Dimes + nickels = $1. 20

1/4 dimes + dimes = $ 1. 35

Let dimes = d

Nickels = n

d + n = 1. 20    equation a

d/4 + d = 1. 35   equation b

Make 'd' subject from equation a

d = 1. 20 - n

Substitute into equation b

1. 20 - n/ 4 + 1. 20 - n = 1. 35

0. 3 - 0. 25n + 1. 20 - n = 1. 35

collect like terms

- 1. 25n = 1. 35 - 1. 5

- 1. 25 = - 0. 15

n = -0. 15/ -1. 25

n = 0. 12

Thus, the number of nickels in the envelope is $0. 12

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

7 0
2 years ago
What is the value of x?<br> 50°<br> 100<br> А. 50°<br> Ов. 150°<br> Ос. 100°<br> Op. 30°
never [62]

Answer:

The answer is 30

Step-by-step explanation:

BC the inside of a triangle equals 180

5 0
2 years ago
Read 2 more answers
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