The solution of the given equation 3x - 4y = 7 for the value of y in terms of variable x is given by y = (3x - 7) / 4.
To solve for 'y' in the equation 3x - 4y = 7, we need to isolate 'y' on one side of the equation. Here's how you can do it step by step:
Move the term containing 'y' to the other side of the equation by adding 4y to both sides:
3x - 4y + 4y = 7 + 4y
Simplify the equation:
3x = 7 + 4y
Now, we want to isolate 'y' on one side. Start by moving the constant term (7) to the other side by subtracting 7 from both sides:
3x - 7 = 7 + 4y - 7
Simplify the equation:
3x - 7 = 4y
Finally, to get 'y' alone, divide both sides by 4:
(3x - 7) / 4 = y
Therefore, the solution for 'y' in terms of variable 'x' is y = (3x - 7) / 4.
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The price of 6 pretzels is $5.10. Simon and Sofia bought 8 pretzels and shared the cost equally. How much did each person pay?
May I have some help?
joe is playing a game with a regular die.If the number that turns up is even he will gain 5 times the number that comes up.If its odd,he will lose 10 times the number that comes up.He tosses a 3 express results as an integer
Jessica can run 7.5 miles in 1 hour. How many minutes does it take her to run each half mile?
he graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Answer:
Which statement about the function is true?
⇒ The function is increasing for all real values of x where
x < –4.
Ms Sims traveled to 42 countries in 60 days . At this rate, how many countries woyuld she travel to in 40 days
42/60 = 0.7 countries per day
0.7 * 40 = 28
she will travel to 28 countries in 40 days
What is the answer????
What is the difference between congruent and similar images
A _______________________ is a ratio that compares two quantities that are measured in different units.
Answer:
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Step-by-step explanation:
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A conversion factor is a ratio used to convert quantities measured in different units. It consists of a fraction with equivalent amounts expressed in two different units. This tool enables conversions by multiplying the quantity needing conversion by the appropriate conversion factor.
A conversion factor is a ratio that compares two quantities that are measured in different units. This mathematical tool is essential for converting from one unit of measure to another. Essentially, a conversion factor is a fraction that has equivalent quantities in the numerator and the denominator, but they are expressed in different units. For instance, if we know that 1 inch equals 2.54 centimeters, we can write the conversion factor as either 1 inch/2.54 cm or 2.54 cm/1 inch, depending on the direction of the conversion we need to make.
To use a conversion factor, you multiply the quantity you want to convert by the conversion factor. This will cancel out the original units and introduce the new units, effectively converting the quantity. For example, to convert 10 inches to centimeters, you would multiply 10 inches by the conversion factor of 2.54 cm/1 inch to get 25.4 centimeters.
Please help!!! I dont know how to do this!!please
Given the following linear function sketch the graph of the function and find the domain and range f (x) =-5x+4
Both the domain and range of this function are all real numbers.
The two things that typically limit a domain are dividing by zero and taking the square root of a negative. Since this function does not have a square root or a denominator, then you must be able to use all real numbers.
Simplify 29-4.37+(5.68)
295 times 67 long multiplication
How do you do this word problem?
4letter blocks ABCD how many different ways can they be arranged in a row
find a perimeter of a rectangle with a length of 665 feet and width of 421 feet. Draw your model and solve.
A bag contains 20 balls numbered from 1 to 20. Two balls are selected at the same time from the bag. What is the probability that the two numbers selected do NOT differ by 12
Simplify the following expression. +−16x2+−5x3x29
5. Two angles are supplements if their sum is 180 degrees. The measurement of one angle is five more than six times its supplement. What is the measurement of the smaller angle?
8 - 1/3x = 16
PLEASE ANSWER ITS DUE TOMORROW
An architect is designing a house in which a 104 square foot room and a 130 square foot room share a wall what is the greatest possible integer length of the shared wall -- THIS QUESTION WAS ASKED AND ANSWERED. BUT ANSWERED INCORRECTLY. NOTE THE ANSWER GIVEN CHANGED THE DIMENSIONS TO 140 FROM 104. AND THIS WEBSITE WILL NOT ALLOW ME TO REPORT THAT.
How do I write this number in scientific notation 0.0072
Help me please please
Please help!!
Approximately how many times greater is4×10^7 than 8×10^3?
1. 0.5
2. 500
3. 5000
4. 50,000
math question answer a b and c hurry answer each one
If x=0 what is the slope of the line?
3-74. Mentally calculate the following products. Use the rule for decimal multiplication to write an equation in which the decimal point is written in the correct location. Homework Help ✎ (−0.04)(−0.1) (0.03)(−0.02) (0.7)(0.4) Stacey said, “Stephanie, look at my answer to the last problem, 0.7 · 0.4 = 0.28. Usually when I multiply, I get a bigger answer than the numbers I start with. Twenty-eight hundredths, 0.28, is less than either 0.4 or 0.7. I must have made a mistake.” Stephanie responded, “Well, one half times one half is one fourth, and one fourth is less then one half. I think when you multiply by a fraction or decimal less than one, you get less than you started with.” Write a sentence or two about who you think is correct and why.
Final answer:
Stephanie is right; when you multiply decimals less than one, the result is smaller than the original numbers. The multiplication of (-0.04)(-0.1) is 0.004, (0.03)(-0.02) is -0.0006, and (0.7)(0.4) is 0.28. These examples illustrate the rule correctly.
Explanation:
Stephanie is correct in her explanation to Stacey. When multiplying two numbers where one or both numbers are less than one, the product will be smaller than the original numbers. This is because you are essentially taking a fraction of each number. Let's confirm this by calculating the products of the given examples.
Multiplication of Negative Decimals: The product of negative decimals will be positive (since a negative times a negative equals a positive). For (-0.04)(-0.1), the product is 0.004.Multiplication of Mixed Decimals: The product of a positive and a negative decimal will be negative. For (0.03)(-0.02), the product is -0.0006.Multiplication of Positive Decimals: As in Stacey's example, (0.7)(0.4) equals 0.28, which is indeed less than either 0.4 or 0.7 because you're multiplying fractions of a whole number.Moreover, in scientific notation, moving the decimal and using placeholders is crucial for accurate answers. Multiplying 2.4 by 100 moves the decimal two places to the right, giving us 240.
What is the value of 3/4÷6/7
Alan had 2 mirrors installed in his house.The first mirror was 2 yards and 2 3rds yards wide the second mirror was 2 yards tall and 3 2 halfs wide. Is the area of the first mirror greater than or less than 2 square yards?Explain
1. Which representation does not show y as a function of x?
A) Answer F
B) Answer G
C) Answer H
D) Answer J
2. Which set of ordered pairs represents y as a function of x?
A) {(-9, 2), (0, 6), (1, -2), (-3, 6)}
B) {(-1, 0), (4, 3), (-7, -3), (-1, -8)}
C) {(3, 2), (-4, -2), (3, 1), (-4, 1)}
D) {(5, 4), (2, 3), (1, 1), (2, 4)}
the pic is for question 1
Applying the rules that makes a relation a function:
1. The relation that doesn't represent y as a function of x is: D. Answer J.
2. The only set of ordered pairs showing a relation that represents y as a function of x is: A) {(-9, 2), (0, 6), (1, -2), (-3, 6)}.
Recall:
A relation is a function if every input value (x-value) has only one possible y-value that is related to or corresponds to.Let's analyze each relation given:
1. All the relations in F, H, and G all have only one y-value assigned or related to every x-value (input). Hence, they all represent y as a function of x.
The graph in J does not represent y as a function of x because of the following:
x =-3 has two y-values, -2, and -3x = -2 has two y-values, 0, and -1.x = -1 has two y-values, 1, and 2.x = 0 has two y-values, 3, and 4.Therefore, answer J does not represent a function.
2. Same rule of a function applies here.
From the set of ordered pairs given, only the set of ordered pairs in A represents y as a function of x because it every of its x-values has only one possible y-value assigned to them.The rest set of ordered pairs have more than one y-values assigned to some of their x-values.In summary:
1. The relation that doesn't represent y as a function of x is: D. Answer J.
2. The only set of ordered pairs showing a relation that represents y as a function of x is: A) {(-9, 2), (0, 6), (1, -2), (-3, 6)}.
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