MATHEMATICS MIDDLE SCHOOL

What is the rule of the following input-output table?in out
3/2 1
5 3 1/3

* they are fractions

Answers

Answer 1
Answer: input 3/2, output 1 input 5, output is 3 and 1/3 convert 3 and 1/3 to mixed for fun 3 and 1/3=10/3 3/2 outputs 1 5, output 10/3 3/2 times 2/3=1 lets try with 5 5 times 2/3=10/3 correct the rule is f(x)=(2/3)x aka y=(2/3)x

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The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of thefollowing describes the domain of (gof)(x)?
all real values except X -3 and the x for which fex) 7
all real values except X -3 and the x for which f(x) -3
all real values except x 7 and the x for which f(x) 7
all real values except x * 7 and the x for which f(x) -3

Answers

Answer:

Third choice

Step-by-step explanation:

The domain of f(x) is the set of all real values except 7, i.e x\ne7

and the domain of g(x) is the set of all real values except -3, i.e x\ne -3

The domain of g\circ f is the set of all real numbers x in the domain of f  such that f(x) is in the domain of g(x).

However any numbers that are excluded from the domain of f must also be excluded from the domain of g\circ f.

Therefore the correct choice is all real values except x=7 and the x for which f(x) =7

How many 2/3 -ounce packages of peanuts can be made with 8 ounces of peanuts? Explain how you found your answer.

Answers

we know that

To know the amount of (2)/(3) ounce peanut packages that can be prepared with 8 ounces of peanuts,

Divide 8 by (2)/(3)

(8)/((2)/(3)) =(8*3)/(2) \n \n =(24)/(2) \n \n =12 packages

therefore

the answer is

12 packages
12 packages can be made. It takes 3 packages to make 2 ounces and 3 multiplied by 4 is 12.

Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.x − 0.07x = 45; $48.39
0.7x = 45; x = $64.29
7x = 45; x = $6.43
x + 0.07x = 45; x = $42.06

Answers

Let the price (before tax) be x. The tax is 7% of x, so it is 0.07x. The price plus the tax add up to $45. x + 0.07x = 45

John and Maria are spending the afternoon hiking in the desert. They purchased 6 bottles of water for $9.00, two protein bars for $5.00, and some peanuts for $3.00 as a snack. Suppose they star hiking at 11.30 A.M. and finish the hike at 3.45 P.M. What is the unit rate of money spent to hours hiked? Show your work.

Answers

Answer:

They spent $4 per hour hiked.

Step-by-step explanation:

They spent

  • $9.00 in water.
  • $5.00 in protein bars.
  • $3.00 in peanuts.

Total cost $17.

Now, if the hiked from 11.30 AM to 3.45 PM, then they hike for 4 hours and 15 minutes. However, we need to transform those minutes into hours before we find the rate

15min(1hr)/(60min)=(1)/(4)hr=0.25hr

So, they hiked for 4.25 hours.

Then, to find the unit rate of money spent per hour hiked, we just need to divide $17 by 4.25 hr.

(\$17)/(4.25hr)=4(\$)/(hr)

Therefore, they spent $4 per hour hiked.

-4x + 7 = 11 help me please!

Answers

-4x + 7 = 11 

First, subtract 7 from both sides. / Your problem should look like: -4x = 11 - 7
Second, subtract 11 - 7. / Your problem should look like: -4x = 4
Third, divide both sides by -4. / Your problem should look like: x = (4)/(-4)
Fourth, change the fraction to a negative. / Your problem should look like: x = -(4)/(4)
Fifth, cancel 4 out. / Your problem should look like: x = -1

Answer: x = -1
you want to get "x" by its self.

-4x+7=11    (subtract 7 on both sides)
-4x=4           (divide -4 on both sides)
x=-1

max requires 40% to pass.if he gets 190 marks and falls short by 10 marks.what are maximum marks he could have got

Answers

Answer:

Maximum marks could have got are 500

Step-by-step explanation:

Max got 190 marks that are 10 less than passing marks which are,

40 % 190 + 10 = 200

This means 200 is the passing marks,

To find the total marks we put the values in percentage,

Formula percentage = passing marks * 100/ total marks ,

So the total marks = passing marks * 100/ percentage total marks

= 200 * 100/40

= 200 * 10/4

=2000/4

=500 maximum marks.  
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