For c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
What is an expression?"It is a mathematical statement with a minimum two numbers or variables and at least one mathematical operation. "
For given example,
We have been given an expression 8x + cy
We need to find the value of c that would make the given expression completely factored.
For c = 2,
⇒ 8x + cy
= 8x + 2y
= 2(4x + y) ..............(Factor out common term)
This means c = 2 is not the required value.
For c = 12,
⇒ 8x + cy
= 8x + 12y
= 4(2x + 3y) ..............(Factor out common term)
This means c = 12 is not the required value.
For c = 16,
⇒ 8x + cy
= 8x + 16y
= 8(x + 2y) ..............(Factor out common term)
This means c = 16 is not the required value.
For c = 7,
⇒ 8x + cy
= 8x + 7y, which is completely factored
This means c = 7 is the required value of c.
Therefore, for c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
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a swimming pool charges $3 per session to sweim, without a discout card. A discount card costs $36 and with the card it costs only $1 per session to swim. How many times would you have to swim to justify buying the discount card?
What is the value of y in the solution to the system of equations?
1/3 x + 1/4y = 1
2x – 3y = –30
after two games of bowling tonka had a total score of 220. his score for the first gamr was 97. what was his score for the second game?
Determine the value of x for which a || b if m<3=10x and m<5=12x-25
what is 3x-8=8x+4/2 solve for variable
Your round-trip drive to work is 43104310 miles. How many miles do you drive to and from work in 33 days?
Answer:
12 9/10
Step-by-step explanation:
You take 4x3 = 12 and then add in the 3/10x3 which is 9/10 so you can write this as 12.9 or 12 and 9/10
Jessica went to the grocery store and purchased a box of cereal for $3.75, milf for $1.50, and bread for $2.25. She paid with a $20.00 bill. How much change did Jessica receive?
Jessica will receive a $12.5 change back.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
The total cost of all purchased items
cereal for $3.75, milk for $1.50, and bread for $2.25
So,
3.75+1.50+2.25 = $7.5
Jessica paid $20
She will get back = 20 - 7.5 = $12.5
Hence "Jessica will receive a $12.5 change back".
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In a graduation program,1 1/2 hours are set aside for speakers. If the keynote speaker is given 1/4 hour, how long will each of the remaining 5 speakers have to give their speech?
What is the LCm of two numbers if one number is a multiple of the other
A bowl contains 80 M&M candies if 15 of the candies are orange what fraction of the candies
is not orange reduce answer to the lowest terms
Please help!!!!!!!!!!!!!!!!!!!!
What is 10y-3x+6=11 in standard form
The equation 10y-3x+6=11 in standard form is represented as -3x + 10y = 5.
Explanation:To write the equation 10y-3x+6=11 in standard form, we need to rearrange the terms. Standard form is usually given as Ax + By = C, where A, B, and C are integers and A and B are not both 0.
First, we should move the term containing 'x' and the term containing 'y' to the left side of the equation, and the constant term on the right side of the equation. The resulting expression would be 3x - 10y = -5.
The standard form is not negative, we will multiply through by -1. So, our final equation in standard form is -3x + 10y = 5.
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of an item is $480. After 6 months of not selling, it is marked down by 10%. After another 6 months of not selling, it is further marked down by 20%. Find the sale price after both markdowns
Final answer:
The item with an original price of $480 is marked down twice, first by 10%, reducing it to $432, and then by another 20%, making the final sale price $345.60.
Explanation:
The original price of the item is $480. The first markdown of 10% reduces the price by $48 (10% of $480), which makes the new price $432. After six months, the item is marked down again by 20%, which is $86.40 (20% of $432). The final sale price of the item after both markdowns is $432 - $86.40 = $345.60.
how do I solve 6x-5=7-9x
The value of x is 4/5 in the given equation 6x-5=7-9x
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 6x-5=7-9x
Six times of x minus five equal to seven minus nine times of x
Take all the variables terms on one side and constants on other side.
6x+9x=7+5
15x=12
Divide both sides by 15
x=12/15
The GCF of 12 and 15 is 3
So divide numerator and denominator by 3
x=4/5
Hence, the value of x is 4/5 in the given equation 6x-5=7-9x
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X/3 - x/5 = 2/15 what does x equal
Adam needs both small and large cones to set up for a soccer practice. He knows there are fewer than 30 cones in the storage room. He needs at least a dozen large cones. Let x represent the number of small cones and y represent the number of large cones. Select all inequalities that model this situation.
x>0
y≥12
x+y≤30
y>12
x≥0
x+y<30
Final answer:
The inequalities that accurately model the situation where Adam needs fewer than 30 cones, with at least a dozen large ones, are y≥12, x+y≤30, and x≥0. These inequalities represent the constraints on large cones, total cones, and the feasibility of small cones respectively.
Explanation:
The student asks about modeling a situation with inequalities where Adam needs both small and large cones for soccer practice, with fewer than 30 cones total and at least a dozen large ones. The variables x represent the number of small cones and y represent the number of large cones. To accurately model this scenario, the following inequalities are correct:
y≥12: Adam needs at least a dozen large cones.
x+y≤30: The total number of cones, both small and large, is less than or equal to 30.
x≥0: The number of small cones can be zero but not negative, as you can't have a negative number of cones.
Thus, the inequalities that model this situation are y≥12, x+y≤30, and x≥0. These inequalities account for the constraints on the number of large cones needed, the total limit on cones, and the feasibility of the number of small cones respectively.
34=−2t can u help me
what is the greatest common factor of 120-36
which part of expression is a factor? 12+5(-3n-8)
The factor in the expression 12+5(-3n-8) is (-3n-8).
Explanation:In the expression 12+5(-3n-8), the part (-3n-8) is a factor.
A factor is a number or expression that divides another number or expression evenly. In this case, the expression (-3n-8) is being multiplied by 5, making it a factor of the overall expression.
For example, if we let n=2, the expression (-3n-8) becomes (-3*2-8) = (-6-8) = -14. So, the factor (-3n-8) in the given expression becomes 5*(-14) = -70.
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The factor of the expression 12 + 5(-3n - 8) is -3n - 8.
Explanation:In the expression 12 + 5(-3n - 8), the factor is the term being multiplied by 5. In this case, the expression -3n - 8 is the factor.
So, the factor of the expression is -3n - 8.
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Please answer these for me! please!
Graph the line y=−1.5x. Using the graph, find:
The value of y corresponding to the value of x equal to 1; 0; 2; 3
You have 2 attempts left to earn the full credit for this problem.
Answer:
If x = 1, y = ....
If x = 0, y = ....
If x = 2, y = ....
If x = 3, y = ....
There are 8 students on the minibus.five of the students are boys.what fraction of the students are boys
A jet plane costs an airline $69,500,000. What is the place value of the digit 5 in this number
if h represents a number then write an expression for the quotient of twice h and 10 more than h
John has 2,456 pennies in his coin collection. He has the same number of pennies in each of 3 boxes. Estimate to the nearest hundred the number of pennies in each box.
34=−2t can u help me
The price of a computer dropped from $1,500 to $1,200. What was the percent of that drop?
the sides in a rectangle are in the ratio 3:2. What is the length of each side if the perimeter of the if the rectangle is 55cm
Answer: 11cm, 11cm, 16.5cm, 16.5cm
Step-by-step explanation:
To find the length of each side of a rectangle in ratio of 3:2, set up the equation for the perimeter and solve for the sides using algebraic manipulation.
Explanation:To find the length of each side of the rectangle, we must solve for the sides using the given ratio. Let's assume the ratio is 3x:2x, where x is a common factor. The perimeter of a rectangle is equal to 2 times the length plus 2 times the width. So, we can set up the equation: 2(3x) + 2(2x) = 55 cm. Simplifying the equation, we get 6x + 4x = 55. Combining like terms, 10x = 55, and dividing both sides by 10, we find x = 5. Therefore, the length of each side is 3x = 3(5) = 15 cm, and the width is 2x = 2(5) = 10 cm.
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What is 200 divided by 36
Russel wants to buy 3 identical gift cards. He wants to make sure his total cost is no more than $2 above or below $60. Which of the following inequalities represents this situation?
Answer:
i think the first one
Step-by-step explanation:
To represent the situation where Russell wants to buy 3 identical gift cards and make sure his total cost is no more than $2 above or below $60, we can use the inequality 3x <= 62.
Explanation:To represent the situation where Russell wants to buy 3 identical gift cards and make sure his total cost is no more than $2 above or below $60, we can use the inequality:
3x <= 62
where x represents the cost of each gift card. This inequality ensures that the total cost of 3 gift cards does not exceed $62, which is $2 above $60.
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What the smallest odd number out of 6, 4, 3 and 8?
The smallest odd number from the list provided (6, 4, 3, 8) is 3, as it is the only number that is not divisible by 2 and is therefore classified as an odd number.
Explanation:The question asks to identify the smallest odd number from a given list of numbers: 6, 4, 3, and 8. We start by defining what an odd number is. An odd number is an integer which is not divisible by 2, meaning it cannot be evenly divided into two equal whole numbers. With this definition in mind, we can examine each number in the list.
The number 6 is divisible by 2, therefore it is an even number.The number 4 is another even number for the same reason.The number 3 is not divisible by 2, which makes it an odd number.The number 8 is also divisible by 2, thus it is even.Gathering only the odd numbers from the list, we have just one, which is the number 3. Since this is the only odd number, it is by default also the smallest odd number from the list.