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kati45 [8]
3 years ago
10

Alice buys some inexpensive bracelets and necklaces as party favors for her jewelry showing. She pays $8 for each necklace (N) a

nd $7 for each bracelet (B). She spends less than $120. Which inequality models this situation?
A) 7B + 8N ≤ 120
B) 7B + 8N > 120
C) 7B + 8N ≥ 120
D) 7B + 8N < 120
Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

D) 7B + 8N < 120

Step-by-step explanation:

Given,

The cost of each necklace = $ 8,

So, the cost of N necklace = 8N dollars

Also, the cost of each bracelet = $ 7,

So, the cost of B bracelet = 7B dollars,

Thus, the total spending = 7B + 8N,

According to the question,

Total spending is less than $ 120,

⇒ 7B + 8N < 120

Hence, OPTION D is correct.

Jlenok [28]3 years ago
4 0

Answer:

7B+8N<120

Step-by-step explanation:

The total amount of the bracelets and necklaces is less than $120, so if you add the price of each necklace ($8) and the price of each bracelet ($7), it will be <$120.

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A house with an original value of increased in value to in years. What is the ratio of the increase in value to the original val
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Answer:

Ratio of the increase in value to the original value will be 1 : 5

Step-by-step explanation:

This question is incomplete; Here is the complete question.

A house with an original value to $150,000 increased in value to $180,000 in 5 years. what is the ratio of the increase in value to the original value of the house?

Original value of the house = $150000

Value of the house after 5 years = $180000

Appreciation in value of the house after 5 years = $180000 - $150000

= $30000

Now the ratio of the increase in value to the original value = \frac{\text{Increased value}}{\text{Original value}}

= \frac{30000}{150000}

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6 0
3 years ago
Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Amanda [17]

Answer:

f_x(x,y,z)=4\sin (y-z)

f_x(x,y,z)=4x\cos (y-z)

f_z(x,y,z)=-4x\cos (y-z)

Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

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4 years ago
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