Does 4(x−8)+12=2(2x−9) have one solution, no solution, or infinitely many solutions?

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Answers

Answer 1
Answer:

Answer: no solution

Step-by-step explanation:

The equation is given in the question is 4(x - 8) + 12 = 2(2x -9). Multiply x with 4 and 2 according to the equation. now, you can see this equation has no solution as the value of x cannot be determined.


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the sales tax for a certain state can ne found ny multiplying the purchase price by 1/20 what is the sales.tax on an item that is 25.60 express your answer as a decimal

Answers

The salestax on an item that is 25.60 dollars is 1.325 dollars.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

There are two types of fractions one is a proper fraction and another one is an improper fraction.

In proper fractions, the numerator is smaller than the denominator and in improper fractions, the numerator is greater than the denominator.

Given, sales tax for a certain state can be found by multiplying the purchase price by 1/20.

∴  Sales tax on an item that is 25.60 is 25.60×1/20.

= 1.325 dollars.

learn more about fractions here :

brainly.com/question/10354322

#SPJ2

First, convert 1/20 to decimal form:
1/20 = 0.05
This means that the sales tax rate is 5%.
Multiply the cost of the item times 0.05 to get the amount of the sales tax:
25.60 * 0.05 = $1.28 sales tax

A spinner is numbered from 1 through 10 with each number equally likely to occur. what is the probability of obtaining a number less than 2 or greater than 7 in a single spin?

Answers

There are 10 numbers from 1 - 10
first we get the numbers less than 2 are (1)
secondly get the numbers greater than 7 are (8,9,10)
total = 4 numbers

The favorable probability is 4 / 10=2 / 5
hope it helps

Answer:

(2)/(5)


Step-by-step explanation:


There are 10 total outcomes [numbers from 1 to 10]

What are the numbers that are LESS THAN 2 or GREATER THAN 7?

They are 1, 8, 9, and 10.


That's a total of 4 numbers. Also, total numbers is 10. Hence the probability of obtaining numbers that are less than 2 or greater than 7 is:

(4)/(10)

Simplifying gives us a probability of  (4)/(10)=(2)/(5)

Anyone know the answer?

Answers

Hi there your answer would be d
The answer is D. 77. 

A rectangular garden has a perimeter of 578 yds.The length is one more than three times the width.
Find the dimensions of the garden.

Answers

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

A catering company charges a $300 set up fee and $10 per person for a lunch buffet. Approximately how many people must attend the lunch so that the total cost per person is $14?

Answers

Answer:

Let x be the number of person and y be the total cost per person.

As per the statement:

A catering company charges a $300 set up fee and $10 per person for a lunch buffet.

"$10 per person" translated to 10x

then;

Total cost per person = 10x+300

It is also given that: total cost per person is $14.

14x=10x+300

Subtract 10x from both sides we have;

4x = 300

Divide both sides by 4 we have;

x = 75

Therefore, 75 number of people must attend the lunch so that the total cost per person is $14


CATERING TOTAL COST  F(X) = 10X + 300

TOTAL REQUIRED                       14X

                                                  10X + 300 = 14X

                                                   10X - 14X = -300

                                                            -4X = -300

                                                              4X = 300

                                                                X= 300/4

                                                                 X=75  <------------------SOLUTION

how to draw an arrow diagram that relates a number (0to9) to the number of lit segments required to display that number?

Answers

The numbers on electronic displays ... like on alarm clocks or digital
watches ... are made out of what's called "7-segment" displays.

For each digit, there's a set of 7 tiny LED's that are laid out
something like this:       _
                                        /_/    
                                       /_/

Then, all of the digits from  0  to  9  can be made just by lighting up
some of the segments, and keeping the rest turned off.

This question is asking for a table that shows how many segments
are lit up to make each digit ... not which ones, but just how many.
This is something the design engineers want to know, so that they
can be sure to provide enough power inside the clock to light up
all the digits.

Look at the picture I attached.  It shows all the digits, 0 to 9, the way
they look in 7-segment displays, and on the right side, the number of
segments that are lit up to make each digit.

I think this is something like what the question is asking for.