Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
[tex]\displaystyle \frac{2}{15}[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the amount of ice cream that Catherine's sister ate, in gallons.
Original amount: 1 gallon.What Catherine ate: [tex]\displaystyle \frac{1}{5}[/tex] gallons.What Catherine's sister ate is assumed to be [tex]x[/tex] gallons.What's left: [tex]\displaystyle \frac{2}{3}[/tex] gallons.Consider the relationship:
[tex]\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}[/tex].
That is:
[tex]\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}[/tex].
Add [tex]x[/tex] to both sides of this equation:
[tex]\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x[/tex]
Substract [tex]\displaystyle \frac{2}{3}[/tex] from both sides:
[tex]\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x[/tex].
Convert the denominator of all three numbers on the left-hand side to [tex]3 \times 5 = 15[/tex]
[tex]\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x[/tex].
[tex]\displaystyle x = \frac{2}{15}[/tex].
In other words, Catherine's sister ate [tex]\displaystyle \frac{2}{15}[/tex] gallons of the ice cream.
To solve this, we need to add the 1/5 of the ice cream to the 2/3 left of ice cream to find out how much her sister ate.
First, we need a common denominator. We can multiply 3 by 5 to get a common denominator easiest, since they are both multiples of it.
3*5=15
Now multiply the numerators by the amount the denominators were multiplied by.
1*3=3 so 3/15
2*5=10 so 10/15
Now, add them together.
10/15+3/15= 13/15.
Finally, subtract that amount from the original full amount of ice cream (15/15) to get the amount her sister ate, since that is the only unknown value left.
15/15-13/15=2/15.
Because 15 isn’t divisible by 2, we can’t simplify this fraction anymore.
Her sister ate 2/15 of a gallon of ice cream.
Hope this helps!
Find the solution of x- 13 =25
[tex]x- 13 =25\\x=38[/tex]
Answer:
[tex]x = 38[/tex]
Step-by-step explanation:
We have the following equation
[tex]x- 13 =25[/tex]
We must solve the equation for the variable x
Add 13 on both sides of the equation
[tex]x- 13 +13 =25+ 13[/tex]
[tex]x=25+ 13[/tex]
[tex]x=38[/tex]
So the solution to the equation is [tex]x = 38[/tex]
What is the standard form of
[tex]y + 2 = \frac{1}{2} (x - 4)[/tex]
bearing in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex]\bf y+2=\cfrac{1}{2}(x-4)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( y+2 \right)=2\left( \cfrac{1}{2}(x-4) \right)}\implies 2y+4=2(x-4) \\\\\\ 2y+4=2x-8\implies 2y=4x-12\implies -4x+2y=-12\implies 4x-2y=12[/tex]
what is the value of k
Answer:
10°
Step-by-step explanation:
i did it in my brain maybe not the best but can help u 75°(180°-115°)+4k+5°+6k+10°=180
Answer:
k=10
Step-by-step explanation:
The measure of the exterior angle is equal to the sum of the opposite interior angles
115 = 4k+5 + (6k+10)
Combine like terms
115 = 10k +15
Subtract 15 from each side
115-15 =10k+15-15
100 = 10k
Divide by 10
100/10= 10k/10
10 =k
5, 6, 7, 8, 9, 10, 11 What is the interquartile range of the data set?
Answer:
The IQR = 4.
Step-by-step explanation:
The median is the middle number so it is 8.
The lower quartile is 6 (the middle number of those less than 8).
In a similar way the upper quartile is 10.
The interquartile range is 10 - 6 = 4.
Final answer:
To find the interquartile range of the data set 5, 6, 7, 8, 9, 10, 11, we calculate Q3 (10) - Q1 (6), which results in an IQR of 4.
Explanation:
The question asks for the interquartile range (IQR) of the data set 5, 6, 7, 8, 9, 10, 11. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set, representing the spread of the middle 50 percent of the data.
Step-by-step Calculation
First, arrange the data in ascending order, which has already been done: 5, 6, 7, 8, 9, 10, 11.
To find Q1, calculate the median of the lower half. Here, Q1 is 6 (the median of 5, 6, 7).
To find Q3, calculate the median of the upper half. Here, Q3 is 10 (the median of 9, 10, 11).
Finally, calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 10 - 6 = 4.
Thus, the interquartile range of this data set is 4.
Jeff is very tall he is 6 feet 5 inches tall how tall is he in inches
Answer:
77 inches
Step-by-step explanation:
1 foot=12 inches so what you have to do is 12x6=72 and since he is 6 foot 5 inches you add 5 to get 77.
Please mark brainliest and have a great day!
Someone help me out pleas s
please help
What is the slope of the line that is represented by the equation y−15=−6(x+7)?
Answer:
m = -6
Step-by-step explanation:
Put this given equation into slope-intercept form:
y−15=−6(x+7) becomes y - 15 = -6x - 42.
Adding 15 to both sides results in y = -6x - 27,
and so the slope is -6. The y-intercept is -27, or (0, -27).
Answer:
slope m = -6
Step-by-step explanation:
y−15=−6(x+7)
y =−6(x+7) + 15
y =−6x +7(-6) + 15
y =−6x -42 + 15
y =−6x - 27
THis is in slope intercept form where slope m = -6
Solve what x if for the equation below
7x - 4 = 2x + 11
Answer:
x = 3
Step-by-step explanation:
Given
7x - 4 = 2x + 11 ( subtract 2x from both sides )
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Factor the Following:
1.) 8
2.) -12
3.) -3y²
4.) 6x²+36x
5.) 7x -14x²
Answer:
1.) 8 = 8
2.) -12 = -12
3.) -3y² = -3y²
4.) 6x² + 36x = 6x(x + 6)
5.) 7x - 14x² = 7x(1 - 2x)
~
If a circle has a diameter with end points: (4 + 6i) and (-2 + 6i),
1. Show me how you would determine the length of the diameter and radius.
2. Show me how you would determine the center of the circle.
3. Determine, mathematically, if (1+9i) lies on the circle. Show how you proved it mathematically.
4. Determine, mathematically, if (2-i) lies on the circle. Show how you proved it mathematically.
Answer:
Part 1) The diameter is [tex]D=6\ units[/tex] and the radius is equal to [tex]r=3\ units[/tex]
Part 2) The center of the circle is (1+6i)
Part 3) The point (1+9i) lies on the circle
Part 4) The point (2-i) does not lies on the circle
Step-by-step explanation:
Part 1) Show me how you would determine the length of the diameter and radius.
we have that
The circle has a diameter with end points: (4 + 6i) and (-2 + 6i)
we know that
The distance between the end points is equal to the diameter
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
(4 + 6i) ----> (4,6)
(-2 + 6i) ---> (-2,6)
substitute the values
[tex]d=\sqrt{(6-6)^{2}+(-2-4)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(-6)^{2}}[/tex]
[tex]d=6\ units[/tex]
therefore
The diameter is [tex]D=6\ units[/tex]
The radius is equal to [tex]r=6/2=3\ units[/tex] ---> the radius is half the diameter
Part 2) Show me how you would determine the center of the circle
we know that
The center of the circle is equal to the midpoint between the endpoints of the diameter
The circle has a diameter with end points: (4 + 6i) and (-2 + 6i)
The formula to calculate the midpoint between two points is equal to
[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
substitute
[tex]M(\frac{4-2}{2},\frac{6+6}{2})[/tex]
[tex]M(1,6})[/tex]
therefore
(1,6) ----> (1+6i)
The center of the circle is (1+6i)
Part 3) Determine, mathematically, if (1+9i) lies on the circle. Show how you proved it mathematically
Find the equation of the circle
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
we have
The center is (1+6i) -----> (1,6)
r=3 units
substitute
[tex](x-1)^{2}+(y-6)^{2}=3^{2}[/tex]
[tex](x-1)^{2}+(y-6)^{2}=9[/tex]
Verify if the point (1+9i) lies on the circle
Remember that
If a point lies on the circle, then the point must satisfy the equation of the circle
Substitute the value of x and the value of y in the equation and then compare the results
we have
the point (1+9i) -----> (1,9)
[tex](1-1)^{2}+(9-6)^{2}=9[/tex]
[tex](0)^{2}+(3)^{2}=9[/tex]
[tex]9=9[/tex] -----> is true
therefore
The point (1+9i) lies on the circle
Part 4) Determine, mathematically, if (2-i) lies on the circle. Show how you proved it mathematically
The equation of the circle is equal to
[tex](x-1)^{2}+(y-6)^{2}=9[/tex]
Verify if the point (2-i) lies on the circle
Remember that
If a point lies on the circle, then the point must satisfy the equation of the circle
Substitute the value of x and the value of y in the equation and then compare the results
we have
the point (2-i) -----> (2,-1)
[tex](2-1)^{2}+(-1-6)^{2}=9[/tex]
[tex](1)^{2}+(-7)^{2}=9[/tex]
[tex]50=9[/tex] -----> is not true
therefore
The point (2-i) does not lies on the circle
To determine the length of the diameter and radius, use the distance formula. The center of the circle can be found by finding the midpoint of the diameter's end points. To determine if a point lies on the circle, use the distance formula to compare the distance between the point and the center to the radius.
Explanation:1. Determining the length of the diameter and radius:
To find the length of the diameter, we can use the distance formula. The distance between two complex numbers (a + bi) and (c + di) is given by the formula √((c-a)^2 + (d-b)^2). In this case, the two end points of the diameter are (4 + 6i) and (-2 + 6i). Using the formula, the distance is √((-2-4)^2 + (6-6)^2) = √((-6)^2 + 0) = √(36) = 6.
The radius of a circle is half the length of the diameter. Therefore, the radius of this circle is 6/2 = 3.
2. Determining the center of the circle:
The center of the circle is the midpoint between the two end points of the diameter. To find the midpoint, we can take the average of the x-coordinates and the average of the y-coordinates. In this case, the x-coordinates of the end points are 4 and -2, and the y-coordinates are 6. Taking the averages, the x-coordinate of the center is (4 + (-2))/2 = 1 and the y-coordinate of the center is (6 + 6)/2 = 6. Therefore, the center of the circle is the complex number 1 + 6i.
3. Determining if (1 + 9i) lies on the circle:
To determine if a point lies on the circle, we can check if the distance between the center of the circle and the point is equal to the radius. Using the distance formula again, the distance between the center (1 + 6i) and the point (1 + 9i) is √((1-1)^2 + (9-6)^2) = √(0 + 9) = √(9) = 3. Since the distance is equal to the radius, we can conclude that (1 + 9i) does lie on the circle.
4. Determining if (2 - i) lies on the circle:
Using the same process, we find that the distance between the center (1 + 6i) and the point (2 - i) is √((2-1)^2 + (-1-6)^2) = √(1 + 49) = √(50). Since √(50) is not equal to the radius (3), we can conclude that (2 - i) does not lie on the circle.
What is the final balance for an account starting with $2000 at 3.5% interest compounded annually for 3 years?
A = P(1 + r)t
$2217.44
$4290.75
$6210.00
$8100.00
A parallelogram has a base of 4 and height of 7x-2. If the area of the parallelogram is 96 square units, what is the value of x to the nearest tenth?
A) 2.3
B) 3.7
C) 5.7
D) 4.2
During the spring and summer, a concession stand at a community Little League baseball game field sells soft drinks and other refreshments. To prepare for the season, the concession owner refers to the previous year’s files, in which he had recorded the daily soft drinks sales (in gallons) and the average daily temperature (in degrees Fahrenheit). Using the coordinates of the two points (84,80) and (74,65), determine the slope of the line of best fit.
Answer:
1.5
Step-by-step explanation:
m=80-65/84-74
=15/10
1.5
*Since this is an application problem, we can use decimals.*
Answer:
The slope of the line is 1.5
Step-by-step explanation:
To know the slope of a line we can have the equation or to know points of the line. In this case from the graph we have to points (84,80) and (74,65). Having this and using the equation to calculate the slope, we have:
[tex]m=\frac{y2-y1}{x2-x1} \\[/tex]
Defining:
[tex](x1=84,y1=80)[/tex] and [tex](x2=74,y2=65)[/tex]
Now using the equation:
[tex]m=\frac{65-80}{74-84}[/tex]
[tex]m=\frac{-15}{-10} \\m=\frac{15}{10} =1.5[/tex]
The slope of the line is 1.5
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
Answer:
36π cubic inches
Step-by-step explanation:
Volume of sphere:
V = 4/3 πr^3
Given: r = 3 in.
Plug in
V = 4/3 π (3^3)
V = 4/3 π (27)
V = 36 π
Answer
36π cubic inches
Answer with explanation:
Radius of the Sphere (r)= 3 inches
Volume of the sphere
[tex]=\frac{4*\pi *r^3}{3}\\\\\rightarrow \frac{4*\pi *3^3}{3}\\\\\rightarrow 4*\pi *3^2\\\\=36\pi \text{Cubic inches}[/tex]
→→→Option B: 36 π Cubic inches
Mahimi has x dollars for food. She wants to buy lunch and still have $2 left over to buy a snack later. How can mahimi represent how much she can spend on lunch
Answer:
x-2 dollars is the lunch money
The expression x-2 represents the spending amount on the lunch.
What is an expression?
One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
Mahimi has x dollars for food.
She wants to buy lunch and still have $2 left over to buy a snack later.
To find the spending amount on the lunch:
She spent on the lunch,
= $(x - 2).
Therefore, x -2 is the expression.
To learn more about the expression;
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how do you convert 1.27 to a percentage
Answer:
127%
Step-by-step explanation:
All you have to do is multiply both numerator and denominator by 100.
Hello There!
1.27 to a percent would be 127%
"Percent" means "per 100" or "over 100". So, to convert 1.27 to percent we rewrite 1.27 in terms of "per 100" or over 100.
Multiply 1.27 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
Therefore, we have shown that
1.27 = 127%
Which of these statements is correct?
The system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution.
The system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions.
The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.
The system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.
Answer:
The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution is correct.
Step-by-step explanation:
1) The system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution.
Solve these linear equations simultaneously
Step 1 : Find y in terms of x from any one equation
6x - 5y = 8
y = 8 - 6x
-5
Step 2 : Substitute y in terms of x from step 1 in the second equation.
16x - 6y = 22
16x - 6 (8 - 6x) = 22
-5
80x - 48 + 36x = 22 x -5
94x = 43
x = 0.457
This statement is incorrect as it does have a solution.
2) The system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions.
Solve these linear equations simultaneously
Step 1 : Find y in terms of x from any one equation
7x + 2y = 6
y = 6 - 7x
2
Step 2 : Substitute y in terms of x from step 1 in the second equation.
14x + 4y = 16
14x + 4(6 - 7x) = 16
2
14x + 12 - 14x = 16
0 ≠ 4
This statement is not true as there are no solutions.
3) The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.
Solve these linear equations simultaneously
Step 1 : Find x in terms of y from any one equation
8x - 3y = 10
x = 10 + 3y
8
Step 2 : Substitute x in terms of y from step 1 in the second equation.
16x - 6y = 22
16(10 + 3y) - 6y = 22
8
20 + 6y - 6y = 2
0 ≠ -18
This statement is true because there are no solutions
4) The system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.
Solve these linear equations simultaneously
Step 1 : Find x in terms of y from any one equation
9x + 6y = 14
x = 14 - 6y
9
Step 2 : Substitute x in terms of y from step 1 in the second equation.
18x + 12y = 26
18 (14 - 6y) + 12y = 26
9
8 - 12y + 12y = 26
0 ≠ 18
This statement is incorrect because there are no solutions. It does not have infinite number of solutions.
!!
Answer:
The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.Step-by-step explanation:
The true statement is the third one, because that system of equations has no solutions. This is because those lines are parallel, see image attached.
We can demonstrate this by solving the system:
[tex]\left \{ {{8x-3y=10} \atop {16x-6y=22}} \right.[/tex]
If we multiply the first equation by -2, we would have
[tex]\left \{ {{-16x+6y=-20} \atop {16x-6y=22}} \right\\0x+0y=2\\0=2[/tex]
When this happens, means that the system has no solution, that is, the lines that represents those linear equations, are parallel.
Therefore, the right answer is the third option.
If b = 7, what is the value of the expression 2(10 – b)?
Answer:
6
Step-by-step explanation:
10-7=3
2*3=6
Answer:
6
Step-by-step explanation:
Order of operations
PEMDAS
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
[tex]2(10-b)[/tex]
[tex]2(10-7)[/tex]
First, do parenthesis.
[tex]2(10-7)[/tex]
[tex]10-7=3[/tex]
[tex]2(3)[/tex]
Then, multiply to find the answer.
[tex]2*3=6[/tex]
6 is the correct answer.
Which expression is equivalent to 2x2 - 2x + 7?
- (4x+12) + (2x2–6x+5)
• (x2–5x+13)+(x2 +3X-6)
. (4x? -6x+ 11 ) + (2x² - 4x+4)
(5x® – 8x+120) + (-3x2 + 10x= 13)
Answer:
B) [tex](x^2 - 5x + 13) +(x^2 + 3x - 6)\\[/tex]
Step-by-step explanation:
Let's simplify the given options and find the correct answer.
The given expression is [tex]2x^2 - 2x + 7[/tex]
Let's take the option A and simplify.
[tex]-(4x + 12) + (2x^2 - 6x + 5)[/tex]
Distributing the negative sign and simplify.
[tex]-4x - 12 + 2x^2 -6x + 5[/tex]
Simplify the like terms.
[tex]2x^2 -10x - 7[/tex]
Which is not equal to the given expression.
Let's take the option B and simplify.
[tex](x^2 - 5x + 13) +(x^2 + 3x - 6)\\[/tex]
Simplify the like terms, we get
[tex]x^2 + x^2 -5x +3x +13 -6[/tex]
[tex]2x^2 -2x +7[/tex]
Which is equal to the given expression [tex]2x^2 -2x +7[/tex]
Therefore, the answer is B) [tex](x^2 - 5x + 13) +(x^2 + 3x - 6)\\[/tex]
Cells undergoing mitosis double with each cycle. A biologist has a sample containing 15 cells. Which graph and equation represents the number of cells after each cycle occurs?
Answer:
The equation is y = 15(2)^x , the graph is X
Step-by-step explanation:
* Lets talk about the exponential graph
- The form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,
b ≠ 1, and x is any real number
- It has a constant base b
- It has a variable exponent x
- The constant a is the beginning value
* Lets solve the problem
- The sample containing 15 cells
∴ a = 15
- The cells double with each cycle ⇒ means × 2 each cycle
∴ b = 2
- x is the number of cycles
- y is the number of cells
∴ The equation is y = 15(2)^x
- From the graphs the answer could be X or Y
* To know which one substitute the values of x to find the value of y
# Figure X
∵ y = 15(2)^x
∵ x = 0
∴ y = 15(2)^0
∵ (2)^0 = 1 ⇒ any number to the power of 0 = 1 except the zero
∴ y = 15(1) = 15
∵ x = 1
∴ y = 15(2)^1 = 15(2) 30
- The graph has y = 30 when x = 1
# In the Figure Y the value of y not equal 30 at x = 1
∴ The answer is graph X
* The equation is y = 15(2)^x , the graph is X
Final answer:
The number of cells after each cycle of mitosis can be represented by an exponential growth model with the equation N = 15 × 2ⁿ. Graphically, this will be a rapidly ascending curve, starting with 15 cells at cycle 0 and doubling each cycle.
Explanation:
The question is asking us to determine the number of cells after each cycle of mitosis given an initial count of 15 cells. When a cell undergoes mitosis, it produces two genetically identical daughter cells, effectively doubling the number of cells with each cycle. To represent the number of cells after each cycle, we will need to use an exponential growth model as each cell division results in doubling the number of cells present.
The general equation representing the growth of cells through mitosis is given by N = N0 × 2ⁿ, where N is the number of cells after n cycles, N0 is the initial number of cells, and n is the number of cycles of mitosis. For the given initial condition of 15 cells (N0 = 15), the equation becomes N = 15 × 2ⁿ.
The corresponding graph to this equation would show a curve that rises sharply upward, reflecting the exponential increase in the number of cells after each cycle. The graph starts at 15 cells when n = 0 (no cycles have occurred) and doubles with each subsequent cycle.
Paul needs to find 310% of 72. Which expression should he use
Answer:
3.10 * 72
Step-by-step explanation:
To find 310% of 72
Of means multiply and is means equal
310% * 72 = answer
Change to decimal form
3.10 * 72 = answer
223.20
Answer: (3.10)(72) is the correct answer
Step-by-step explanation:
The equation of the circle whose center is at (2, 1) and radius is 3 is
Answer: The equation of the circle whose center is at (2, 1) and radius is 3 is [tex](x-2)^2+(y-1)^2=9[/tex]
Step-by-step explanation:
We know that the equation of a circle having center at (h,k) and radius r is given by :-
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Given : The center of the circle : (2, 1)
The radius of the circle : 3 units
Then the equation of a circle with center at (2, 1) and radius is 3 is will be :-
[tex](x-2)^2+(y-1)^2=3^2\\\\\Rightarrow\ (x-2)^2+(y-1)^2=9[/tex]
What is the value of the expression when c = 4 c/2
Answer:
32
Step-by-step explanation:
Plug in 4 for c.
(c³)/2 = (4³)/2
First, solve the parenthesis, then divide. Multiply:
4³ = 4 * 4 * 4 = 16 * 4 = 64
Next, divide:
64/2 = 32
32 is your answer.
~
You toss a coin and roll a number cube. Find P(heads and an even number).
The probability of getting heads on a coin toss is 1/2
The probability of getting an even number rolling a number cube is 1/2 ( 3 even numbers out of 6 total numbers).
To find the probability of both happening, multiply each probability by each other:
1/2 x 1/2 = 1/4
The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x
represents the cost of a ticket. How much is one ticket?
$3.00
$4.00
$9.00
$15.00
Answer:
$9.00
Step-by-step explanation:
4x + 12 = 48 - First, subtract 12 from both sides.
4x = 36 - Then, divide each side by 4 to get x by itself.
x = 9 - After getting x by itself, we see that x = 9, so one ticket will
cost $9.00
For this case we have the following equation:
[tex]4x + 12 = 48[/tex]
Where the variable "x" represents the cost of a performance ticket.
Clear "x" of the equation to know the cost of a ticket.
Subtracting 12 on both sides of the equation:
[tex]4x = 48-12\\4x = 36[/tex]
Dividing between 4 on both sides of the equation:
[tex]x = \frac {36} {4}\\x = 9[/tex]
So, the cost of a ticket is $ 9.00
Answer:
Option C
Which equation represents the graphed function ?
Y= -2x+3
Y=2x+3
Y=1/2x +3
Y=-1/2x+3
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1)
m = [tex]\frac{1-3}{1-0}[/tex] = - 2
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - 2x + 3 → A
Can someone help me plz
Answer:
The first answer :)
Step-by-step explanation:
That is because N represents the amount of hours that the other person studied.
3.1x−16.3=−0.8
URGENT
find the value of x please
Answer:
x =5
Step-by-step explanation:
3.1x−16.3=−0.8
Add 16.3 to each side
3.1x−16.3+16.3=−0.8+16.3
3.1x = 15.5
Divide each side by 3.1
3.1x = 15.5/3.1
x =5
Ify is 2.5 when x is 5 and y varies directly with x, find y when x is 10.
5
7.5
12.5
20
Answer:A
Step-by-step explanation:
Y varies directly as x
Y = kx
When y = 2.5, x = 5
Substitute the value of y and x
2.5 = k * 5
Make k the subject of the formula
k = 2.5/5
k = 1/2
:. The equation connectin y and x is
Y = 1/2x
When x = 10
Y = 1/2*10
Y = 10/2
Y = 5
what is 8^2 X8^3 as one base ?
Answer:
8^5
Step-by-step explanation: