1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
matrenka [14]
3 years ago
8

A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The

employee wants to make less than 6 pounds of the mixture and wants the total cost of the nuts used in the mixture to be no more than $30. Let x represent the number of pounds of cashews. Let y represent the number of pounds of almonds. Which inequalities are among the constraints for this situation? Select each correct answer. Question 1 options: x+y<6 x+y≤30 x+y≤6 7x+5y≤30 7x+5y>30 7x+5y<6 x<0 x≥0 y≥0 y≤0
Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

Step-by-step explanation:

It has to be less than 6 ,  x+y<6

Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient.multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.

the mixture has to be less than 30 that means that it costs less than 30 but 30 can be the answer as well.

The last answer is 7x + 5y 

You might be interested in
How is 6/10 written as a decimal?
BARSIC [14]
It’s written as 0.6 in decimal form
6 0
3 years ago
Read 2 more answers
PLEASE!!! NEED HELP ASAP!!! 50 PTS AND BRAINLIEST!!!
noname [10]

1) Inverse function: f^{-1}(x)=g(x)=\frac{x+4}{3}

2) f(1) = -1, g(-1) = 1

3) f(g(x))=g(f(x))=x

Step-by-step explanation:

1)

In this first method, we want to find the inverse function of f(x).

The original function is:

f(x) = 3x-4

We rewrite it as

y=3x-4

We swap the name of the variables:

x=3y-4

Adding +4 on both sides:

x+4=3y-4+4\\x+4=3y

And dividing by 3 on both sides:

y=\frac{x+4}{3}

which is identical to g(x):

g(x)=\frac{x+4}{3}

2)

In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.

We start using the function

f(x)=3x-4

We choose x=1. We find:

f(1)=3(1)-4=3-4=-1

Now we use this output value as input in the function

g(x)=\frac{x+4}{3}

Substituting x=-1,

g(-1)=\frac{-1+4}{3}=\frac{3}{3}=1

So, the final output value (1) is equal to the input value (1).

3)

Here we want to verify that the two are inverse functions by showing that

f(g(x))=x

We have

f(x)=3x-4\\g(x)=\frac{x+4}{3}

Substituting g(x) into f(x),

f(g(x))=3g(x)-4 = 3(\frac{x+4}{3})-4=(x+4)-4=x

Viceversa, we want to show that

g(f(x))=x

Substituting g(x) into f(x), we get

g(f(x))=\frac{f(x)+4}{3}=\frac{(3x-4)+4}{3}=\frac{3x-4+4}{3}=\frac{3x}{3}=x

So, the two functions are one the inverse of the other.

Learn more about inverse functions:

brainly.com/question/1632445

brainly.com/question/2456302

brainly.com/question/3225044

#LearnwithBrainly

6 0
3 years ago
Is 4.5 natural number?​
vfiekz [6]

Answer:

No

Step-by-step explanation:

4.5 IS NOT A WHOLE NUMBER!

4 0
3 years ago
Read 2 more answers
Tyler has at most $20 to spend on rides and games at the carnival. Each ride costs $0.75 and each game costs $0.50. Which inequa
GaryK [48]

Answer:

The inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:

0.75r+0.50g≤20, where:

r is the number of rides

g is the number of games

Step-by-step explanation:

With the information provided, you can say that the amount spent at the carnival is equal to the cost per ride for the number of rides plus the cost per game for the number of games. Also, given that the statement indicates that Tyler has at most $20, the inequality would indicate that the amount spent has to be less than or equal to 20. According to this, the inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:

0.75r+0.50g≤20, where:

r is the number of rides

g is the number of games

3 0
3 years ago
Find the original price of a pair of shoes that was discounted 20% and now sell for $54
Tresset [83]
<h2>$67.50</h2><h2 />

Original price = x

The original price of a pair of shoes was discounted 20%.

20% = 20/100 = 0.2

1 - 0.2 = 0.8

x * 0.8

Now they sell for $54.

x * 0.8 = 54

Solve to find x.

54 / 0.8 = x

x = 67.5

Convert that to currency.

<h2>$67.50</h2>
7 0
3 years ago
Other questions:
  • Given a long integer find the number of ways to represent it as a sum of two or more consecutive positive integers
    10·1 answer
  • The sum of a number and its ??? equals 0
    8·1 answer
  • Would appreciate the help 24 points
    10·1 answer
  • What is the length and width of rhe rectangle 2.1 length 1.2 width write it as fraction
    6·1 answer
  • Evaluate the integral below, where C is the curver(t) = ‹sin(t),cos(t), sin(2t)›, 0 ≤ t ≤2π. (Hint: Observe that C lies on the s
    9·1 answer
  • 157.86 divided by 15 equals what
    8·1 answer
  • How do you do 7-12 cause my math teacher sucks at explaining
    5·1 answer
  • Jessie's favorite snack mix recipe calls for 7 cups of cereal, 3 cups of peanuts, and 2 cups of raisins. What is the ratio of pe
    10·1 answer
  • F(x)= (x+1)/2
    12·1 answer
  • If you toss a coin and spin the spinner, what is the probability of landing on heads and spinning blue?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!