6(r+3)-4=2r+10+4r how do you slove that
The table shows the annual profits (in thousands of dollars) of a county fair from 2008 to 2012. What must the 2012 profit be (in hundreds of dollars) to break even over the five-year period?
Answer:
In year 2012, 0.45 thousands dollars will bring the break even for the company.
Step-by-step explanation:
The table shows the annual profits of a county fair from 2008 to 2012.
We have to calculate the profit in 2012 to get the break even over the five year period.
Total profit in four years = profit in year (2008 + 2009) = 2.5 + 1.75 = 4.25 thousand dollars
Total loss in four years = loss in year (2010 + 2011) = 3.3 + 1.4 = 4.7 thousand dollars
Net profit or loss = Net profit - net loss = 4.25 - 4.7 = -0.45
There is a net loss of 0.45 thousand dollars.
If we get a profit of 0.45 thousand dollars in year 2012, we will be in the situation of no profit and no loss (break even).
Therefore, profit of 0.45 thousands of dollars is the answer.
Line SV is an angle bisector of angle RST if angle RSV = (3x+5) and angle RST = (8x-14) find x
Answer:
x=12
Step-by-step explanation:
Line SV is an angle bisector of angle RST
<RSV = <VST
Both angles are equal
m<RSV = (3x+5)
<RSV = <VST, so m<VST = (3x+5), m<RST= 8x-14
m<RST= m<RSV +m<VST
[tex]8x-14= 3x+5+3x+5[/tex]
Combine like terms and solve for x
[tex]8x-14= 6x+10[/tex]
Subtract 6x from both sides
[tex]2x-14=10[/tex]
Add 14 on both sides
[tex]2x=24[/tex]
Divide both sides by 2
x=12
Of the ice cream cones sold yesterday at percy's ice cream shop, 1/3 were chocolate and another 1/2 were vanilla. what fraction of the ice cream cones sold were either chocolate or vanilla
The required fraction of the ice cream cones sold were either chocolate or vanilla is 5/6.
What is Least Common Denominator?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
We have been given that of the ice cream cones sold yesterday at Percy's ice cream shop, 1/3 were chocolate and another 1/2 were vanilla.
We have to determine the fraction of the ice cream cones sold were either chocolate or vanilla
1/3 equals 2/6
According to the given question,
The fraction of either vanilla or chocolate will be:
⇒ 1/3 + 1/2
Change into a lowest common denominator,
⇒ 2/6 + 3/6
Apply the addition operation to get
⇒ 5/6
Therefore, the required fraction of either vanilla or chocolate is 5/6.
Learn more about the lowest common denominator here:
brainly.com/question/8413590
#SPJ5
Seven years ago, kodi found a box of old baseball cards in the garage. since then, he has added a consistent number of cards to the collection each year. he had 52 cards in the collection after 3 years and now has 108 cards. kodi looking into his box of baseball cards. how many cards were in the original box? is this t(0) or t(1)? write the first few terms of the sequence. kodi plans to keep the collection for a long time. how many cards will the collection contain 10 years from now? write an equation that determines the number of cards in the collection after n years. what does each number in your rule represent?
The required equation is y = 14x + 10 which is the number of cards in the collection and he will have 150 cards after 10 years
What is the slope of the line?The slope of the line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
As per the question, we take the two points are (3,52) (7,108)
So slope = (108 - 52) / (7 - 3) = 56/4 = 14
y = mx + b
slope(m) = 14
Substitute the value of x = 3 and y = 52 in the equation
52 = 3(14) + b
52 = 42 + b
52 - 42 = b
10 = b
So the original amount of cards is 10
If x represents the number of years, while y is the total number of cards.
y = 14x + 10
He began with 10 cards and has added 14 cards every year thereafter.
So after 10 years
y = 14(10) + 10
y = 140 + 10
y = 150
Therefore, he will have 150 cards after 10 years
Learn more about the equation here:
brainly.com/question/14511992
#SPJ5
34 days to 2 weeks the ratio is
The ratio of 34 days to 2 weeks is [tex]\(\frac{34}{2 \times 7}\)[/tex].
To find the ratio of 34 days to 2 weeks, we first need to convert 2 weeks into days, since there are 7 days in a week. Therefore, 2 weeks is equivalent to [tex]\(2 \times 7\)[/tex] days, which is 14 days.
Now, we can set up the ratio of 34 days to 14 days (2 weeks):
[tex]\[ \text{Ratio} = \frac{34 \text{ days}}{14 \text{ days}} \][/tex]
To simplify this ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 34 and 14 is 2.
Dividing both by 2, we get:
[tex]\[ \text{Ratio} = \frac{34 \div 2}{14 \div 2} = \frac{17}{7} \][/tex]
So, the simplified ratio of 34 days to 2 weeks is [tex]\(17:7\) or \(\frac{17}{7}\)[/tex].
Plzzzz Help mee with the there questions i dont like math :P
I need help with #12. I have to show work too.
y+6x=11; x= -1, 0, 4
solve the equation for y then find the value of y for each value of x
What is the difference of the polynomials?
Answer:
2x^3 + 2x
Step-by-step explanation:
subtract the 2 x^4's
x^3 +x^3 = 2x^3
x +x = 2x
answer is 2x^3 + 2x
The difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]
Given the polynomials:
[tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex],We are required to find their difference which can be solved as follows:
[tex](x^4 + x^3 + x^2 + x ) - ( x^4 - x^3 + x^2 - x)[/tex]
First, open the bracket by multiplying every term you have in [tex]( x^4 - x^3 + x^2 - x)[/tex] by -1:
Thus:[tex]x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x[/tex]
Group like terms together and add them together[tex]x^4 - x^4 + x^3 + x^3 + x^2 - x^2 + x + x\\\\\mathbf{2x^3 + 2x}[/tex]
Thus, the difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]
Learn more here:
https://brainly.com/question/9351663
Explain why the equation 6|x| + 25 = 15 has no solution. When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution. When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution. When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution. The statement is false. There is a solution.
The equation 6|x| + 25 = 15 has no solution because it implies that |x| equals a negative number after simplification, and absolute values cannot be negative.
Explanation:The equation 6|x| + 25 = 15 has no solution because the absolute value of x, denoted by |x|, represents the distance of x from zero on the number line, and as such, it can never be negative. When we solve the given equation, we isolate the absolute value on one side which gives us 6|x| = -10 after subtracting 25 from both sides. Dividing by 6, we obtain |x| = -10/6, which is a negative number. However, since an absolute value cannot equal a negative number, this indicates that there is no valid solution to the equation.
if that is the wrong answer then what is the right answer .
is someone can help me please please i will give 20 points please
Answer this for a Brainliest
The sum of three fourths of a number and 1 is 5
How many times as heavy is the Golden Eagle as the Red Tailed Hawk? The Golden Eagle weighs 13 9/10 lbs and the red tailed hawk weighs 3 1/2 lbs?
The Golden Eagle, weighing 13.9 lbs, is approximately 4 times as heavy as the Red Tailed Hawk, which weighs 3.5 lbs.
Explanation:To find out how many times as heavy the Golden Eagle is compared to the Red Tailed Hawk, we need to divide the weight of the Golden Eagle by the weight of the Red Tailed Hawk. The Golden Eagle weighs 13 9/10 lbs, which can be converted into an improper fraction as 139/10 or a decimal as 13.9 lbs. The Red Tailed Hawk weighs 3 1/2 lbs, which can be converted into an improper fraction as 7/2 or a decimal as 3.5 lbs.
To perform the division, we'll use the decimal form of the weights:
Golden Eagle: 13.9 lbsRed Tailed Hawk: 3.5 lbsDividing the Golden Eagle's weight by the Red Tailed Hawk's weight:
13.9 lbs ÷ 3.5 lbs = 3.9714 (approximately)
So, the Golden Eagle is approximately 4 times as heavy as the Red Tailed Hawk.
What types of triangles can have an obtuse angle?
Scalene
Right
Acute
Isosceles
a group of 10 people ran an average of 2.7 miles in one week. if the first 4 people in the group averaged 3 miles, what did the last 6 people average
I have 3 pieces of candy to place in 4 lunch boxes. In how many ways can I do this if: (a) The candies are all the same and the lunch boxes are all different? (b) The candies are all different and the lunch boxes are all the same? (c) Exactly two of the candies are the same (but the third is different) and all of the lunch boxes are different? Please explain your work IN DETAIL. Thanks!
can someone help me out
I don't see in the problem what she is paid for over time but it is normally 1.5 times per hour
so 40 hours at 25 = 1000
51-40 = 11 hours of over time
25 *1.5 = 37.50 per hour for over time
11 * 37.50 = 412.50
1000+412.50 = 1412.50 total
Evaluate cot675°. i will give brainlist
The value of expression cot 675° is, - 1
We have to given that,
To find the value of cot 675°.
Now, We can find the value as,
⇒ cot 675°
⇒ cot (2 × 360 - 45)°
⇒ - cot 45°
⇒ - 1
Hence, The value of expression cot 675° is, - 1
Learn more about trigonometric ratios at:
brainly.com/question/1836193
#SPJ4
Plz help! Convert 3/5 into fractions with a denominater of 15 A.9/15 B. 3/15 C.5/15 D. 6/15
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age. Which inequality represents Alicia’s possible age? 0
0
0
0
Oliver is working on a puzzle of the Eiffel Tower. The tower in the puzzle is 28.5 in. tall. The packaging lists the scale as 1:415. What is the height of the actual Eiffel tower to the nearest foot?
The perimeter p of a rectangle is related to the length l and width w through the equation p=2l+2w. determine the width in terms of the perimeter and length.
The volume of a rectangular box is 2160 in cubes. It is 10 in. wide and 18 in. long. What is the height of the box?
Find the area of the figure.
*50 ft2
*41 ft2
*42 ft2
*38 ft2
Suppose it took 12 riders a total of 11 days 21 hours to ride from St.joseph to Sacremento. If they all rode the same number of hours how many hours did each rider ride
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h
A=H(A+B)/2
Solve for b.
A. B=Ah/2-a
B. B=2A/h+a
C. B=2A/h-a
D. B=2A-a/h
Answer:
The answer is b=2A/h-a
What is the radius of a circle with circumference 27 in.?
The radius of a circle with a circumference of 27 inches can be calculated using the formula for the circumference of a circle which is 2πr. Calculating this, the radius is approximately 4.3 inches.
Explanation:The subject of this question is Mathematics, more specifically, Geometry which deals with shapes, sizes and properties of figures. In this case, we are being asked to find the radius of a circle given its circumference. The circumference of a circle is calculated as 2πr, where r represents the radius and π is approximately equal to 3.14.
To find the radius (r), you would divide the circumference by 2π. Given that the circumference of the circle is 27 inches, we divide 27 by 2π (approximately 6.28). This can be further simplified to approximately 4.3 inches.
Learn more about Radius of Circle here:https://brainly.com/question/31831831
#SPJ3