The no. of regular tube costing $15 were 12 and the cooler tube costing $7.5 each were 24
What is a tubing?The entire family can participate in tubing. Change into swimwear, rent a tube and a life jacket, and float down the river—that it's easy. Numerous outfitters provide transportation to the best waterways and rent tubes from Blue Ridge to Columbus, via Helen and Columbus.
The total cost of rent on tube = $360
Price of regular tube = $15
Price of cooler tubes = $7.5
Let the no. of regular tubes be and cooler tubes be y
The equation forms
15x + 7.5y = 360 ...1
As we can notice regular tube is twice the price of cooler tubes, sthe the equation forms
2(7.5) = 15
This means when y = 2, x = 1
cross multiply them and we find
2/y = 1/x
x/y = 1/2
x = y/2 ...2
Putting the value of x in eq 1, we get
15(y)/2 + 7.5y = 360
7.5y + 7.5y = 370
15y = 360
y = 360/15
y = 24
Putting the value of y in eq 1, we get
15x + 7.5(24) = 360
15x + 180 = 360
15x = 360 - 180
15x = 180
x = 180/15
x = 12
Thus, The no. of regular tube costing $15 were 12 and the cooler tube costing $7.5 each were 24.
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Please lmk asap!!! (thank you :))))
The following statements are true about the scaled copy
(b) The angles are whole numbers(c) Has exactly 1 right angle(d) If the scale factor is 1/5, the side lengths are multiplied by 1/5What is dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the true statements in the figure?From the figure, we understand that there is another figure
This figure is the scaled factor of the given figure
As a general rule, the following are the properties of a scaled copy of another figure
If the scale factor is greater than 1, the side lengths would be greater than the original figureIf the scale factor is less than 1, the side lengths would be less than the original figureThe angles of both figures are the sameThe side lengths may or may not be whole numbersUsing the above as a guide, the true statements about the scaled copy are (b), (c), and (d)
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8632/29 8632 dived by 29
Answer:
the answer is
297.6551724138
slope
P(-6, 16), Q(2, -4); R(-6, 14), S(-2, 4)
The slope of the given points is equal to -5/2 or -2.5.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
For the given points P(-6, 16) and Q(2, -4), the slope is given by;
Slope = Δy/Δx
Slope = (-4 - 16)/(2 - (-6))
Slope = (-4 - 16)/(2 + 6)
Slope = -20/8
Slope = -5/2 or -2.5.
For the given points R(-6, 14) and S(-2, 4), the slope is given by;
Slope = Δy/Δx
Slope = (4 - 14)/(-2 - (-6))
Slope = (4 - 14)/(-2 + 6)
Slope = -10/4
Slope = -5/2 or -2.5.
In conclusion, the slope of the line that passes through the given points is equal to -5/2 or -2.5.
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Complete Question:
Find the slope of the given points. P(-6, 16), Q(2, -4); R(-6, 14), S(-2, 4)
Select the correct answer. a charity organization is holding a food drive with a goal to collect at least 1,000 cans of food by the end of the month. it currently has 565 cans from donations and is having an event where 87 guests will attend and bring cans. which solution set represents the number of cans each guest must bring to meet the goal? a. a number line ranges from 0 through 10 from left to the right in increments of 1. a solid circular point is at 3. an arrow extends from the point toward the right. b. a number line ranges from 0 through 10 from left to the right in increments of 1. a hollow circular point is at 5. an arrow extends from the point toward the right. c. a number line ranges from 0 through 10 from left to the right in increments of 1. a hollow circular point is at 3. an arrow extends from the point toward the right. d. a number line ranges from 0 through 10 from left to the right in increments of 1. a solid circular point is at 5. an arrow extends from the point toward the right.
The number of cans each guest must bring to reach the goal must be greater than or equal to 5 by inequality.
What is inequality in math?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.Let
x -----> the number of cans each guest must bring to meet the goal
we know that
The number of guests multiplied by the the number of cans each guest must bring to meet the goal plus the currently cans must be greater than or equal to 1,000 cans
so
The inequality that represent this problem is
565 + 87x ≥ 1000
Solve for x
565 + 87x ≥ 1000
Subtract 565 both sides
87x ≥ 1000 - 565
87 ≥ 435
Divide by 87 both sides
x ≥ 435/87
x≥ 5
therefore, The number of cans each guest must bring to reach the goal must be greater than or equal to 5.
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Help me graph the relationship please! I've been stuck on this problem for a week now... :<
Rate of change (m) = 10
Starting amount (b) = 14
It takes 9 days to have 104 boondins.
The equation in slope-intercept form is: y = 10x + 14
Its graph is shown below.
How to Write the Equation of a Line?Where m represents the rate of change and b represents the y-intercept or starting value, the equation of a line can be written in slope-intercept form as:
y = mx + b.
From the information given, the following are given about the line:
x = number of days
y = total number of boondins
If he had 74 boondins in 6 days and he bought 10 more every day, then:
x = 6
y = 74
Starting value (b) = ?
Rate of change (m) = 10
Substitute the values into y = mx + b to find the value of b:
74 = 10(6) + b
74 = 60 + b
74 - 60 = 60 + b - 60
14 = b
b = 14
Therefore:
Rate of change (m) = 10
Starting amount (b) = 14
To write the equation in slope-intercept form, substitute b = 14 and m = 10 into y = mx + b:
y = 10x + 14
To find how many days it takes to have 104 boondins, substitute y = 104 into the equation, y = 10x + 14:
104 = 10x + 14
Solve for x
104 - 14 = 10x
90 = 10x
90/10 = 10x/10
9 = x
x = 9
It takes 9 days.
For 10 days, it would take:
y = 10(10) + 14
y = 114 boondins
The table is:
(x, y)
(0, 14)
(10, 114)
The graph for y = 10x + 14 is given in the attachment.
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Please please help me
Answer:
Answer down below!
Step-by-step explanation:
Since we do have 4x +2, we know a few things:
4x is just the equivalent of saying 4(x) or 4 times xThere is no x anywhere around the 2So, your answer must be the third option down, because:
A. Just says 4x
B: Says 2(x*x*x*x)
D: 4x + 2x
So your answer must be C
7 9/16÷2 3/4 help me w my math
Evaluate f(-7) for the function
f(x) = x² + 3x - 12
Answer:
f(- 7) = 16
Step-by-step explanation:
substitute x = - 7 into f(x) , that is
f(- 7) = (- 7)² + 3(- 7) - 12 = 49 - 21 - 12 = 28 - 12 = 16
do you guys know how to solve this? 5/6x +1/2 = 4/5x - 1/6
Answer: x = -20
Step-by-step explanation:
Step 1: Move Like Terms to the Same Side
5/6x - 4/5x = -1/2 - 1/6
Step 2: Multiply by 30 to Remove Fractions
25x - 24x = -15 - 5
Step 3: Combine Like Terms
x = -20
Answer:
The answer is x = -20
Step-by-step explanation:
Did the math
What is the value of x? (1 point)
1. 24
2. 9
3. 21
4. 14
(i forgot the picture the first time)
(5x+15)°+(3x-3)°=180°(CO-INTERIOR ANGLES)
[tex]5x + 15 + 3x - 3 = 180 \\ 5x + 3x = 180 - 15 + 3 \\ 8x = 168 \\ \frac{8x}{8} = \frac{168}{8} \\ x = 21[/tex]
ATTACHED IS THE SOLUTION
x/50=20=40
i need help cux i dont get it
The given linear equation has solutions 1000 and 2000. This are values for which the equation is true.
Solving linear equationsLinear equations are equations that has a leading degree of 1. Given the equation below, we are to determine the value of x from the expression.
Given the linear equation
x/50=20=40
This can be splitted into x/50=20 and x/50 = 40
Solve both equations
x/50=20
Cross multiply
x = 50 * 20
x = 1000
Similarly;
x/50 = 40
Cross multiply
x = 50 * 40
x = 2000
Therefore the solutions to the given system of linear equation are 1000 and 2000
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Rewrite the expression as the sum of two numbers. 4(5 + 8)
Answer:
20 + 32
Step-by-step explanation:
4(5 + 8)
20 + 32 = 52
I hope this helps!
½a + ¾b + ½a - ½b =
This all im looking for the answer
Answer:
(4a+b)/4
Step-by-step explanation:
You have $48 to buy tickets at the carnival. The tickets cost $8 for 15 tickets. How many tickets can you buy? 9 The water ride costs 12 tickets, and the ferris wheel costs 15 tickets. You want to ride the water ride 3 times and ride the ferris wheel 3 times. How many tickets do you have remaining? 9 A. 12 B. 9 C. 7
Answer:
the answer would be 9 tickets left
Step-by-step explanation:
8x6=48
15x6=90
12x3 + 15x3=81
90-81=9
9 tickets left
A chocolate power bar has 4 grams of fat, 23 grams of protein, and 45 grams of carbohydrates. How many Calories does this Power bar provide?
Answer:
308 Calories are provided by the Powerbar.
Step-by-step explanation:
Use the typical amounts shown for each nutrient first to calculate how many calories each one provides:
Fat: 4 grams x 9 kcal/gram = 36 kcals.
Protein: 23 grams x 4 kcal/gram = 92 kcals.
45 grams x 4 kcal/gram of carbohydrates equals 180 kcal.
To determine the total calories, add up all the Calories from each nutrient as follows:
92 calories from protein and 36 calories from fat equal 308 calories.
The Powerbar contains 308 calories.
Answer:
Total Calories = (4*9) + (23*4) + (45*4)
36+92+180 = 308 Calories
To calculate total calories we first need to convert total fat, protein, and carbohydrates into calories
1 gram of protein = 4 calories
1 gram of fat = 9 calories
1 gram of carbohydrates = 4 calories
1. In a student election, Tyler defeated Julia by a ratio of 7 to 6. If there are 221 students
in the grade and all of them voted, how many votes did Julia receive?
A. 119
B. 107
C. 102
D. 89
E. 42
Answer:
c
Step-by-step explanation:
split 221 students in a ratio of 7:6
let x be 1/13th of the votes
221 = 7x + 6x
221 = 13x
17 = x
julia is the 6 in 7:6
6x
6(17)
102
the answer is c
The area of a square garden is 81 yd². How long is each side of the garden?
Answer:
9 yd²
Step-by-step explanation:
If it's a square the sides will be equal length...
[tex]\sqrt{81}[/tex] = 9
Hope this helps, have a great day! :)
Write an equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1).
An equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1) is 0 = (-2/7)0 + 0
What is a parallel line?Two or more lines that never intersect are said to be parallel. We can see parallel lines all around us, such as in the bookcase's shelves and the two sides of this page.
There is a good chance that lines or structures that appear to run in the same direction, never cross one another, and always have the same spacing between them are parallel.
We will find the slope using the slope formula that is
⇒ m = (y₂ - y₁)/(x₂ - x₁)
Given points are (-5, 3) and (2, 1), so
⇒ m = (1 - 3)/(2 - (-5))
⇒ m = -2/7
We have asked to write an equation for a parallel line that passes through (-5, 3) and (2, 1).
for a two lines to be parallel, m = m for both lines
so as the slope is (-2/7), lets put the value in (0,0)
y = mx + b
0 = (-2/7)0 + b
b = 0
And therefore the equation is 0 = (-2/7)0 + 0
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What is the measure of <3
A. 45
C. 135
B. 155
C. 55
Please show work
The measure of angle 3 is 45°.
What is an angle?
An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing them. Angles are also generated when two planes meet. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction.
Angle 6 = 45° (vertically opposite angles)
angle 3 = angle 6 = 45° (alternate angles)
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given f (x)=-x+4 find f (0)
Answer: f(0)= 4
Step-by-step explanation:
First you need to plug 0 in for x
f (x)=-x+4 -> f(0)= -(0)+4
next solve:
f(0)= -(0)+4
0*-1 = 0
f(0)= 4
The correct answer is f(0)= 4.
Hope this helps!
What is the sequence of transformations that maps ABC to A’B’C’
Step 1:
A. Reflect across the line Y=X
B. Reflect across the x-axis
C. Rotate 90° clockwise about the origin.
D. Rotate 180° about the origin
Step 2:
A. Translate 6 units up
B. Translate 5 units up
C. Reflect across the line y=x
D. Reflect across the x-axis
Answer:
Yes, reflecting a shape across the x-axis and then rotating it 90° clockwise about the origin gives the same results as reflecting it
Step-by-step explanation:
Answer: step 1 = C step 2 = A
Step-by-step explanation: 190 abc 123
Choose all equivalent expression(s). (4)^3x^2 (4)^-3x^2 (1/4)3x^2 (x/1)^3x
The options that have equivalent expression(s) are:
(4)^-3x^2(1/4)3x^2How can the expressions that are equivalent be determined?The expressions that are equivalent be determined by checking the given options one after the other to determine the ones that will have the same value if properly expressed.
The second option is (4)^3x^2 , and it can as well be expressed as 1/4^3x2 because 1/4 is the same expression as 4^-1
The third option (1/4)3x^2 is equivalent with the expression we got at the first option.
Therefore, the expression that is equivalent to each other from the given expression are the second option and the third option.
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Answer:
its c and d
Step-by-step explanation:
Helpppp llsssssssssss
Answer:
Step-by-step explanation:
x = ( -b ± √b² - 4*a*c ) / 2a
3x² - x + 6 = 0
x = ( 1 ± √1 - 4 *3*6) / 2(6)
what is 50 pound in yen if 1 euro is 120 yen and 1 pound is 1.2 euro
50 pound in yen is 7200 yen
What is basic algebra ?Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants. Let's imagine that while playing with matchsticks, James and Natalie came up with the idea to arrange the sticks into designs that represented numbers.
Given that : 1 euro is 120 yen and 1 pound is 1.2 euro
1 euro = 120 yen
1 pound = 1.2 euro
1 pound = 1.2 × 120 yen
1 pound = 144 yen
50 pound = 144 ×50
= 7200 yen
50 pound in yen is 7200 yen
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Use the graph to find the missing part of each
statement
g(6)=
g(2)=
g(0)=
g()=-1
g()=1
The missing part of the statements are g(6) = 0, g(2) = 2, g(0) = 3, g(8) = -1 and g(4) = 1
How to determine the missing part of the statements?The graph represents the given parameter
From the graph, we can see that the graph represents a linear function
Note that:
linear functions are functions that have constant average rates of change.
Having mentioned that, we have the following computations:
When x = 6 on the graph, g(x) = 0
This means that g(6) = 0
When x = 2 on the graph, g(x) = 2
This means that g(2) = 2
When x = 0 on the graph, g(x) = 3
This means that g(0) = 3
When g(x) = -1 on the graph, x = 8
This means that g(8) = -1
When g(x) = 1 on the graph, x = 4
This means that g(4) = 1
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Help I can’t do this
Answer:
It looks like you want the point slope form of a line
y-4 = -2 (x +3)
Step-by-step explanation:
y -[tex]y_{1}[/tex] = m(x- [tex]x_{1}[/tex]) You plug in 4 for [tex]y_{1}[/tex], -2 for m and -3 for[tex]x_{1}[/tex]
y - 4 =(2(x - -3) x - -3 is the same at x + 3
y-4 + -2(x + 3)
What is 8(1/2+x=-1/3-(-8x-7/3)
Answer:
the answer is no solution
Step-by-step explanation:
Please help!!!!!!!!!! I need an answer asap. Is my answer correct??
Answer:
5, 15
Step-by-step explanation:
The solution to the system is where the lines intersect. If they intersect once, then there is one solution. If the lines intersect twice, there are two solutions. You probably get the picture. So yes, your answer should be correct.
Hope this helps! :)
Answer:
yes it is
Step-by-step explanation:
yeah it is correct
In the ratio 29:3:4:64 (which is equal to 100) what would '29' be if the total of the ratio was 8
Answer: 2.32
Step-by-step explanation:
[tex]\frac{29}{100}(8)=2.32[/tex]
Select all equations that have a solution of 0.
a. 4x + 1 = 4x - 1
b. 2 (x + 6) = 3 (x + 4)
c. 2x + 5 = 11
d. 3x + 8 = 2x + 8
The equation with solution zero are : b. 2 (x + 6) = 3 (x + 4) and d. 3x + 8 = 2x+8.
Here in this problem, we are dealing with linear equations which is a condition of one variable regularly composed within the form ax+b=0 where a and b are real numbers and x is an unknown variable. Solutions to linear equations is refer to a linear equation that can have zero, one, or infinitely numerous solutions. A linear equation with no solutions simplifies to an untrue statement such as 1=0. A linear equation with one solution simplifies to a solution of the form x=n where n may be a real number. A linear equation with infinitely numerous solutions simplifies to a true statement without a variable such as 1=1.
So in the above-given equations
a. 4x + 1 = 4x - 1 => 4x-4x =1-1 =>0=0
b. 2 (x + 6) = 3 (x + 4)
=> 2x+12=3x+12
=>3x-2x= 12-12
=>x=0
c. 2x + 5 = 11
=>2x= 11-5
=>x=3
d. 3x + 8 = 2x + 8
=>3x-2x =8-8
=>x=0
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