The spring stretch 0.6 inches per ounce of additional weight.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A weight of 15 ounces stretches a spring 10 inches.
∴ Inches increase of the spring per ounce of weight is the total increase in length divided by the total weight,
= (10/15) inches.
= 0.6 inches of increase in length per ounce.
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an ice cream factory makes 200 quarts of ice cream in 10 hours . How many quarts could be made in 12 hours? what was that rate per day ?
Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
90/15=9
9*10=90
so your answer would be 90
is 3.6666.... a rational number? explain
Marco wants to set up 12 small turbines with 3 blades each.If 4 wind turbines blades cost $79.64,how much will all the blade cost?
If Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64 then $716.76 costs for all blades.
What is Equation?Two or more expressions connected with an equal sign is called ad equation.
Given Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64, then we have to find the cost of all blades.
Each turbine has 3 blades, so for 12 tubines we have
3×12=36 blades.
If 4 blades cost is $79.64, then we have to find cost of 36 blades.
Let y be the cost of 36 blades.
4 /36= 79.64/y
Use cross multiplication,
4 * y = 36 * 79.64
4y = 2,867.04
y=716.76
Therefore 36 blades cost is $ 716.76.
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3.695 to 4 name the place value to which each number was rounded
Write the equation of a line with slope m that passes through the origin
Which best describes the set of odd numbers between zero and ten?
Null set
{-9,-7,-5,-3,-1,1,3,5,7,9}
{1,3,5,7,9}
All real numbers
25/28=375/x. Use equivalent ratios to solve the proportion.
HELP ASSAP WITH THIS QUESTION
Am I correct? Please check my answer
-10+ (-15)=??? Plzzz help me show work plz <3
Sarah's garden is 11.72 m long. Round to the nearest tenth of a meter
Jose paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
Eleni works out 15 fewer minutes on Tuesday than on Monday. She worked out 70 minutes on Tuesday.
Use the five-step problem-solving plan.
How many minutes did she work out on Monday?
Enter you answer in the box.
______min
Answer: 85 Minutes on Monday
Step-by-step explanation:
Select one of the factors of 3x^2 + 4x − 4.
A.) (x + 4)
B.) (3x + 2)
C.) (3x - 2)
D.) (x - 2)
I will disregard your answer if you do not explain the steps clear enough.
The requried factor of the given quadratic expression [tex]3x^2 + 4x - 4[/tex] is (3x-2). Option C is correct.
To find the factor of the quadratic expression [tex]3x^2 + 4x - 4[/tex], we need to identify two binomials that, when multiplied together, result in the given expression.
The expression is in the form of [tex]ax^2 + bx + c[/tex], where a = 3, b = 4, and c = -4.
To factor the quadratic expression, we look for two binomials of the form (mx + p) and (nx + q) such that:
(mn) = a (which is 3 in our case), and
(pq) = c (which is -4 in our case).
Now, we need to find the factors of 3 and -4:
Factors of 3: 1, 3
Factors of -4: 1, -1, 2, -2, 4, -4
Now, we need to find combinations of these factors such that their product is 3 (the coefficient of [tex]x^2[/tex]) and -4 (the constant term). The combination that works is:
3 * -1 = -3
So, the two binomials are (3x - 2) and (x + 2) because:
[tex](3x - 2) * (x + 2) = 3x^2 - 2x + 6x - 4\\ \ \ \ \ \ \ \ \ \ \ = 3x^2 + 4x - 4[/tex]
Therefore, the correct factor is C.) (3x - 2).
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Which values of m and b will create a system of equations with no solution? Check all that apply.
y = mx + b
y = –2x +
m = –3 and b =
m = –2 and b =
m = 2 and b =
m = – and b =
m = –2 and b =
m = 3 and b =
THE ANSWER TO THIS PROBLEM IS B AND E
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.
Dina and Masha started out on a 10 km bike path at the same time. When Dina reached the end of the 10 km, Masha still had 2 km left to bike. If Dina’s biking speed was 5 km/h, find Masha’s biking speed.
Answer:
4 km/hr
Step-by-step explanation:
Dina and Masha started out on a 10 km bike path at the same time.
Distance = 10 km
Dina’s biking speed was 5 km/h
Time taken by Dina is Distance / speed
So [tex]time (Dina) = \frac{10}{5} =2[/tex]
Time taken by Dina is 2 hours
Same time is taken by Masha but 2 km left
So distance covered by Masha in 2 hours is 10-2 = 8 km
We know speed = distance / time
[tex]speed of Masha = \frac{8}{2}=4[/tex]
Masha’s biking speed= 4km/hr
which of the following uses a variable to represent a person a place or thing that is unknown
Answer: Mr. X
Step-by-step explanation: Unknown Person (variable)
Theresa sells lemonade for $1, juice for $1.50, and coffee for $2. On one day, the number of coffees she sells is twice the number of lemonades she sells, and 4 more than the number of juices she sells. If she earns a total of $74, how many lemonades did she sell?
Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax+b
An inequality's solution set is determined by its specific properties. For a quadratic inequality, it can be solved by first finding the roots with the quadratic formula and then testing ranges between the roots to see where the inequality holds.
Explanation:The question seems a bit incomplete, as there is no inequality provided related to constants a, b, c, and d. Typically, if we had a complete inequality, the solution set would depend on the specifics of the inequality. For instance, if we took a quadratic inequality, ax²+bx+c>0, or ax²+bx+c<0, we would solve it by finding the roots using the quadratic formula (-b ± √b² - 4ac) / 2a, which gives us the values of x where the expression equals zero, and testing regions determined by these roots to find where the inequality holds. However, without a specific inequality provided, it's difficult to describe the possible solution sets accurately.
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Jason is standing on the ground and throws a ball vertically upward with an initial speed of 80 ft/sec. Its height after t seconds is given by h = 80t-16t^2
a) How high does the ball go?
b) How many seconds does it take to reach maximum height?
c) When does the ball hit the ground?
Ron is five years older than twice his cousins Pat's age. The sum of their ages is less than 35. What is the minimum age Pat can be?
A.) 7
B.) 8
C.) 9
D.) 10
Find the distance from the point (4, 1, −1) to the plane x − 2y + 2z + 3 = 0
Diana and Sujit clean homes for a summer job they charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. Did they receive more than $82 for their job? Explain.
a company needs boxes to hold a stack of 8.5 inch by 11 inch papers. if they would like the volume of the to be 500 cubic inches, what should the night of the box be? round to the nearest tenth
Rami bought 4 pairs of jeans his total bill including tax was $80.29 if each pair of jeans costs $18.50 before tax was added what tax rate did rami pay on the jeans
Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2
A prime polynomial is a polynomial that can't be factored.
In order to check which polynomial is prime, we need to check which polynomials could be factored.
x^3 + 3x^2 – 2x – 6 can be factored as (x+3)(x^2-2)
x^3 – 2x^2 + 3x – 6 can be factored as (x-2)(x^2+3)
4x^4 + 4x^3 – 2x – 2 can be factored as 2(x+1)(2x^3-1)
2x^4 + x^3 – x + 2 can't be factored.
Therefore, 2x^4 + x^3 – x + 2 is a prime polynomial.
In this exercise we have to use the knowledge of prime polynomials to find what cannot be factored, so we have;
A) Can be factored.
B) Can be factored.
C) Can be factored.
D) Can't be factored.
Is a base form of a polynomial in other words is a polynomial that can't be factored.
So we have to:
A) [tex]x^3 + 3x^2 - 2x - 6 =(x+3)(x^2-2)[/tex]
B)[tex]x^3 - 2x^2 + 3x - 6=(x-2)(x^2+3)[/tex]
C)[tex]4x^4 + 4x^3- 2x - 2= 2(x+1)(2x^3-1)[/tex]
D)[tex]2x^4 + x^3 - x + 2[/tex]
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Factor. 3x(y−4)−2(y−4) Enter your answer in the box
The factor of the expression 3x(y−4)−2(y−4) are (3x - 2) (y - 4).
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is,
3x(y - 4) - 2(y - 4)
Now, Solve the expression as;
The expression is,
3x(y - 4) - 2(y - 4)
Take (y - 4) as common;
(y - 4) (3x - 2)
Thus, The factor of the expression 3x(y−4)−2(y−4) are (3x - 2) (y - 4).
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Which is greater 9.1 or 9.099?