To solve for 'x' in the equation 'abx-cdx=15m', rewrite the equation, factor out the 'x', and solve for 'x'. The solution is 'x = 15m / (ab - cd)', provided that 'ab' does not equal 'cd'.
Explanation:To solve for x in the equation abx-cdx=15m, we need to firstly isolate the terms containing x. Let's start by rewriting the equation:
abx = cdx + 15m
Then, factoring out the x, we get:
x(ab - cd) = 15m
Finally, we can solve for x by dividing both sides of the equation by (ab - cd):
x = 15m / (ab - cd)
Note: this solution works provided that ab≠cd since division by zero is undefined in mathematics.
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In the figure, GK (with an arrow pointing right) bisects angle FGH.
(L = angle)
if mL FGK = 3v - 4 AND mL KGH = 2v +7
a) 33
b) 58
c) 11
d) 29
Simplify using exponents: B12/B5
Answer: call 267 188 3800 today
Step-by-step explanation:
Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. Which expression represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill?
The expression to represent the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.
Explanation:To find the amount of money Amy has left from her monthly budget after paying her cell phone bill, we need to subtract the cell phone bill from her monthly budget. Amy has $150 a month and the cell phone bill consists of a $65 access fee plus $20 per gigabyte of data used.
Let's represent the amount of data used in gigabytes as 'x'. So, the expression to represent the amount of money Amy has left is:
$150 - ($65 + $20x)
This expression simplifies to:
$85 - $20x
So, the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.
The expression that represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill is $150 - ($65 + $20x).
Explanation:Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. To calculate the amount of money Amy has left from her monthly budget after she pays her cell phone bill, we need to subtract the total cost of the cell phone plan from her budget. So, the expression that represents the amount of money Amy has left is:
$150 - ($65 + $20x)
Where x represents the number of gigabytes of data Amy has used.
One photoshop charges $0.36 per print. Another photoshop charges $2.52 plus $0.08 per print. Juan finds that the cost of printing his photos is the same at either shop. How many photos does Juan have to print?
the density of gold is 19.3g/cm3. if I have a nugget with a volume of 10 cm3, what is the mass of the cube?
Using algebraic equation to find the measures of the two angles described below Begin by letting X represent the degree measure of the angle supplement the measure of the angle is 17 times greater than its supplement what is the measure of the supplement what is the measure of the other angle
simplicity the expression (0.4^3)
you have scored 7,10,8 , and 9 on four quizzes . write and solve an equation to find the score you need on the fifth quiz so that your mean score is 8
To achieve a mean score of 8 after five quizzes, you would need to score 6 in your fifth quiz, assuming your scores in the first four quizzes were 7, 10, 8, and 9 respectively.
Explanation:Yes, these scores are associated with the subject of mathematics, particularly the branch of math known as statistics. This involves determining how to achieve a desired mean, which in this case is 8, given your previous quiz scores.
The mean score is determined by adding all your quiz scores together and dividing by the total number of quizzes. So for your first four quizzes, the total is 7 + 10 + 8 + 9 = 34. The mean so far is 34 ÷ 4 = 8.5 which is already above our targeted mean of 8.
To achieve a mean of 8 over 5 quizzes, the total of your scores would need to be 8 x 5 = 40. Therefore, the score you would need to get on your fifth quiz would be 40 (the desired total) - 34 (the current total) = 6.
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A group of 5 friends are sharing 2 pounds of trail mix . Write a division problem and a fraction to represent this situation
Consider the universal set R,R, define the interval A=[−7,1],A=[−7,1], interval B=(−1,5),B=(−1,5), and CC be the negative real numbers. Complete the following exercises in interval notation.
1. A∪B=A∪B=
2. A∩B∩C=A∩B∩C=
3. A∩(B∪C)=A∩(B∪C)=
4. A^c ∪ B^c∪ C^c=
5. (C−A)∪(B−C)=(C−A)∪(B−C)=
Final answer:
The question involves calculating various set operations in interval notation, including the union, intersection, and complements using intervals A, B, and set C (negative real numbers) within the universal set of real numbers R.
Explanation:
The student is working with set operations in interval notation, particularly focusing on the union, intersection, and complement relative to the set of real numbers R. Given intervals A=[-7,1], B=(-1,5), and set C being the negative real numbers, we need to perform various set operations.
A⋃B is the union of A and B, which is the set of all elements in either A or B.A∩B∩C is the intersection of A, B, and C, which represents all elements common to all three sets.A∩(B⋃C) represents the intersection of A with the union of B and C.A¹ ⋃ B¹ ⋃ C¹ is the union of the complements of A, B, and C relative to the universal set R.(C-A)⋃(B-C) represents the union of the set difference of C and A with the set difference of B and C. Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle Eliminate
B) line segment
C) parallel lines
D) perpendicular lines
Answer:
line segment
Step-by-step explanation:
if a = 42 and b = 2 then find ab
Which point below is not on the graph of p(x) = /36-x?
Answer:
(-35,1)
Step-by-step explanation:
which decimal is least in value
0.511 0.57 0.453 0.582
if Johnny has 3 apples and he gives Tom one apple how many apples does Johnny have
The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 inches.
a) give an equation to represent this situation.
b) solve for x
c) What are the three lengths of a triangle?
Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn
How is the quotient of a number and 6 decreased by 10 is equal to 2
K=1/2 mv^2. Determine m when v=30 and k=4500
A mother wants to invest $11,000.00 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $ 660.00, how much money was invested in the CD account?
The mother invested $5000 in the CD account and the remaining $6000 in a savings bond. This solution was arrived at by setting up a system of two equations, which we solved simultaneously.
Explanation:Let's denote the amount of money invested in the CD account as x and the amount in the savings bond as y. The total amount of money is $11000, so we can set up the first equation as: x + y = 11000.
Then, the mother earns interest from both accounts. The CD account earns 4%, that's 0.04x while the savings bond earns 7%, that's 0.07y. The total interest is stated to be $660, so we can have the second equation as: 0.04x + 0.07y = 660.
From the first equation, we can solve for y: y = 11000 - x and substitute it into the second equation which gives us: 0.04x + 0.07(11000 - x) = 660.
Solving for x, you should get approximately $5000. This means a balance of $6000 was invested in the bond (11000 - 5000). Therefore, the mother invested $5000 in the CD account.
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Mr Grant needs 30 pieces of felt. He can buy them in packs of 10 or as single pieces. What are the different ways Mr Grant can buy felt?
the formula for the perimeter of a rectangle is P=2l, + 2w, where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find it's dimensions if it's length is 3 inches greater than it's width.
The dimensions of the rectangle are 7.5 inches and 4.5 inches, or w = 4.5 inches and l = 7.5 inches if the perimeter of a rectangle is P=2l, + 2w.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The rectangle can be defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
P = 24 inches
l = 3 + w
P = 2l + 2w
24 = 2(3 + w) + 2w
24 = 6 + 2w + 2w
24 = 6 + 4w
24 - 6 = 4w
18 = 4w
w = 4.5 inches
l = 3 + 4.5 = 7.5 inches
Thus, the dimensions of the rectangle are 7.5 inches and 4.5 inches, or w = 4.5 inches and l = 7.5 inches if the perimeter of a rectangle is P=2l, + 2w.
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Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work
The diameter of the average cell in the human body is 1 x 10-5 meters
Compare and contrast expressions equations and inequalities
The expression 625(1−x) gives the discounted price of a television, where x is the percent of the discount written in decimal form.
What does the 625 represent in the expression?
the original price of the television
the percent of the original price being paid
the discounted price of the television
the percent of discount
the original price of the television
is your answer.
Let
x-------> the percent of the discount written in decimal form.
y-------> the discounted price of the television
we know that
[tex]y=625(1-x)[/tex]
In the expression
[tex]625[/tex]-------> represent the original price of the television
y--------> the discounted price of the television
x-------> the percent of discount
therefore
the answer is the option
the original price of the television
3,817,773 rounded to nearest 100,000
To round 3,817,773 to the nearest 100,000, you look at the digit in the thousands place, which is 1. Since the digit in the hundreds place (7) is greater than or equal to 5, you round up. So, 3,817,773 rounded to the nearest 100,000 is 3,800,000.
Explanation:To round 3,817,773 to the nearest 100,000, we look at the digit in the thousands place, which is 1. Since the digit in the hundreds place (7) is greater than or equal to 5, we round up. We change the digit in the thousands place to 2 and set all the digits to the right of it to 0. So, 3,817,773 rounded to the nearest 100,000 is 3,800,000.
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PLEASE HELP!! IM VERY STUCK.
Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.
a. Compute the circumference of Track 1.
b. Compute the circumference of Track 2.
Answer:
Circumference of Track 1 is 377.14 feet and circumference of Track 2 is 534.29 feet.
Step-by-step explanation:
Consider the provided information.
Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.
Part (A)
Compute the circumference of Track 1.
Track 1 has a radius of 60 feet.
The formula used to find the circumference of the circle is: [tex]2\pi r[/tex]
The circumference of Track 1 is:
[tex]2\pi r=2\times \frac{22}{7}\times 60[/tex]
[tex]2\pi r=377.14 [/tex]
Thus, circumference of Track 1 is 377.14 feet.
Part (B)
Compute the circumference of Track 2.
Track 2 has a radius of 85 feet.
The circumference of Track 2 is:
[tex]2\pi r=2\times \frac{22}{7}\times 85[/tex]
[tex]2\pi r=534.29 [/tex]
Thus, circumference of Track 2 is 534.29 feet.
How many places to the left did you move the decimal point to write 41,200 in scientific notation
Tim found a jacket that was 25% off. The original price was $45.00. What was the sale price?
the quotient of a number and -2