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.
The salestax on an item that is 25.60 dollars is 1.325 dollars.
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.
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Answer:
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:
Simplifying gives us a probability of
Find the dimensions of the garden.
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.
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.
⇒
Subtract 10x from both sides we have;
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