Answer: D, 128 boxes
Step-by-step explanation:
There are 8 cutting machines that each cut 12 boxes every 3/4 minutes. 8x12=96. Divide that by 3 which is 32 boxes a 1/4 minute. Then multiply that by 4 to get a whole minute which is 128 boxes.
What is the measurement of the angle?
The measurement of the angle is 105°.
Measuring Angles with a protractor:When two lines meet at a point, an angle is created. An angle is the measure of two rays. It is symbolized by the symbol '√'. Ordinarily, angles are measured in degrees.
A semicircular tool called a protractor is used to measure and draw angles. Degrees from 0 to 180 are marked on it. Any angle between 0 and 360 degrees can be measured using it directly.
The markings range from 0 to 180 degrees in both the right-to-left and left-to-right directions.
Here we have
a protractor marked from right to left as 0 to 180° but not from left
To measure the given angle, count the angle on right from the right that is => 75° [ marking is in between 80° to 70° ]
As we know total angle = 180°
=> Required angle = 180° - 75° = 105°
Therefore,
The measurement of the angle is 105°
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For the function machine at the left, try 5 more input(x) values other than 4 to see what output you get for y. Use the the table to help you test other values.
Did any of the input value get more than one possible output?
No there is no input value can give more than one output.
what is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y= 2x+ 3
Now, take x= 5
y= 2(5)+ 3
y= 13
and, take x= 6
y = 2(6)+ 3
y = 15
and, take x= 7
y= 2 x 7 +3
y= 17
and, take x= 8
y = 2x 8 + 3
y = 19
and, take x= 9
y= 2x 9 + 3
y = 21
No there is no input value can give more than one output, it is only possible in quadratic equation.
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In a shipment of computers from a manufacturer, the probability that a computer is defective is 1/50. If a computer buyer for a store selects 2 computers from a shipment, what is the probability that both computers are defective? 1/50 1/100 1/250 1/2500
Answer:
1/125
Step-by-step explanation:
multiply 1/50 by 1/50
2/2500
simplify
1/125
A rectangle has a width of 24 inches and a height of 12 inches. A second rectangle is proportional to the first and has a width of 6 inches. What is the height of the second rectangle
The height of the second rectangle is 3 inches.
How to solve the side of a rectangle?The rectangle has a width of 24 inches and a height of 12 inches. A second rectangle is proportional to the first and has a width of 6 inches.
The height of the second rectangle can be found as follows:
Two variables have a proportional relationship if the ratios of the variables are equivalent.
Hence, using the proportion,
let
x = height of the rectangle
24 / 12 = 6 / x
24x = 12 × 6
24x = 72
divide both sides by 24
x = 72 / 24
x = 3 inches
Therefore,
height of the second rectangle = 3 inches
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quotient of 7x^2 divided by 3x-5/x+3?
The quotient can be calculated by dividing the dividend with the divisor. Quotient = Dividend ÷ Divisor.
When splitting polynomials, how do you determine the quotient?The quotient and remainder are then calculated as follows:
Divide the first term of the dividend by the divisor's highest term (the one with the largest power of x, which in this case is x)
Multiply the divisor by the result got just now (the first term of the eventual quotient).
According to the Quotient Rule, the derivative of a quotient equals the denominator times the numerator's derivative minus the numerator times the denominator's derivative, all divided by the denominator's square.
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least common denominator of 1/6 and 5/9
Answer: To find the least common denominator (LCD) of two fractions, we need to find the least common multiple (LCM) of the denominators.
In this case, the fractions are:
1/6 and 5/9
The denominators are 6 and 9.
The least common multiple (LCM) of 6 and 9 is 18.
So, the least common denominator (LCD) of 1/6 and 5/9 is 18
We can write both fractions with 18 as denominator:
1/6 = 3/18
5/9 = 10/18
So, the least common denominator of 1/6 and 5/9 is 18.
Step-by-step explanation:
The stemplot below represents the number of bite-size snacks grabbed by 37 students in an activity for a statistics class.
A stemplot titled Number of snacks has values 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 21, 22, 23, 25, 25, 28, 32, 38, 42, 45.
Which of the following statements best describes the distribution?
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 15 to 45. There are no outliers.
The distribution of the number of snacks grabbed is symmetric with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed left with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
D
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
What is the probability distribution?
A probability distribution is a mathematical function that describes the probability of different outcomes in a random event or experiment. It is a function that assigns probabilities to each possible outcome of a random variable.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
This statement best describes the distribution of the number of snacks grabbed. The distribution is skewed right because the tail on the right side is longer than the tail on the left side, which indicates that there are more values on the higher end of the scale. The center of the distribution is around 18, and the range of the data is 12 to 45. The values of 38, 42, and 45 are higher than the majority of the data and could be considered outliers.
Hence, the statement which describes the distribution "The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45."
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In a bag of candy, the ratio of Milky Ways to Skittles is 6: 11. There are 10 more Skittles than
Milky Way bars. How many pieces of candy are there total?
There are 12 m&m.
Because there are 6 skittles to every 4 m&m
There are 18 skittles.
So there must be 12 skittles
Examples of simultaneous linear equations
Examples of simultaneous linear equations are 8x-5y=21 and 2x+9y=-5
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.
For the given equations:
8x-5y=21 Equation:1
2x+9y=-5 Equation:2
Solving equation multiply equation 2 with 4 on both the sides
8x+36y=-20 Equation 3
Subtracting Equation:3 from Equation:1
8x-5y-(8x+36y)=21+20
-41y=41
y=-1
Putting value of 'y' in Equation:2 which will give the value of x
2x+9y=-5
2x-9=-5
2x=4
x=2
Thus, 8x-5y=21 and 2x+9y=-5 are simultaneous equations
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What is the code for puzzle #2
The correct pairs for each graph and linear function are:
G: y < 2x - 1C: y ≥ x - 1A: y > 2x + 1D: y ≤ x - 2Let's discuss each graph's linear function:
Remember that the linear function format is y = mx + c can be found using 2 given points and formula of:
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
Graph 1
Points: (3, 5) and (-2, -5)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 5 = x - 3
-5 - 5 -2 - 3
y - 5 = x - 3
- 10 -5
y - 5 = 2x - 6
y = 2x - 1
y < 2x - 1
Graph 2
Points: (1, 0) and (0, -1)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 0 = x - 1
-1 - 0 0 - 1
y - 0 = x - 1
-1 -1
y = x - 1
y ≥ x - 1
Graph 3
Points: (0, 1) and (-1, -1)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 1 = x - 0
-1 - 1 -1 - 0
y -1 = x
-2 -1
y - 1 = 2x
y = 2x + 1
y > 2x + 1
Graph 4
Points: (2, 0) and (0, -2)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 0 = x - 2
-2 - 0 0 - 2
y = x - 2
-2 -2
y = x - 2
y ≤ x - 2
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How many inches long is the radius of the largest circle that can fit inside a rectangle 18 inches long and 12 inches wide
Answer:
6 inches
Step-by-step explanation:
The diameter of the largest circle inside a rectangle of size 18" x 12" has to be 12", the smaller of the two lengths
If the diameter is 12", the radius is half of that = 12"/2 = 6"
The largest circle is inside a square of side 12.
The radius is 6√2 inches (half of the diagonal)
Solve asap please (I’ll mark brainliest)
Answer:
64
Step-by-step explanation:
2 x 2 x 2 x 2 x 2 x2 = 64
Answer:
2⁶ = 64
Step-by-step explanation:
2⁶
The number two is multiplied six times:
2*2*2*2*2*2
= 64
Please help I’m desperate
Sets A, B, and C are subsets of the universal set U.
These sets are defined as follows.
U={f, g, h, p, q, r, x, y, z)
A = {f,g,r, x}
B={r, x, y, z}
C={g, h, q, r, z}
Find (BUA)'n C.
Write your answer in roster form or as Ø.
(BUA)' n C =
Answer:
Step-by-step explanation:
ANSWER:
(C ⋂ B) ⋃ A' = {p, q, x, y, z}
A triangle has base 6 1/6 and height 7 1/2 find the area of the triangle
Answer: 185/8
Step-by-step explanation:
Area of triangle = Base x Height / 2
Convert numbers into improper fractions:
6 1/6 = 37/6
7 1/2 = 15/2
( 15/2*37/6 )/2 = 185/8
Help wit any will be appreciated
Answer:
z-20
4t+1
2(7x-4)
5(2d+10)
(1/7)(2y-(1/2))
Step-by-step explanation:
Hope this helps
<3 Todo
The graph of a proportional relationship is a _________ _______ that passes through the origin
The graph of a proportional relationship is a straight line that passes through the origin.
What is the Graph of a Proportional Relationship?A proportional relationship is a relationship between two variables in which the ratio of one variable to the other is always constant. In other words, if y is proportional to x, we can write y = kx, where k is a constant.
The graph of a proportional relationship is a straight line that passes through the origin (0,0). The slope of the line is equal to the constant of proportionality k. If k is positive, the line will slope upward from left to right, and if k is negative, the line will slope downward from left to right.
The y-intercept of the graph will always be (0,0) since the line passes through the origin.
Therefore, we can state that: the graph of a proportional relationship is a straight line that passes through the origin.
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-
Given f(x) = x² − 8x + 8, find ƒ(−5)
What is the answer to this10x + 9y = –12
The answer to this10x + 9y = - 12 in terms of x and y are,
x = - (12 + 9y)/10 and y = - (12 + 10x)/9.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 10x + 9y = - 12 in terms of 'x' and 'y'.
As we have one expression and two variables solutions for x and y are not possible.
Now, We can write this expression for 'x' in terms of 'y'.
10x + 9y = - 12.
10x = - 12 - 9y.
x = - (12 + 9y)/10.
We can also write this expression for 'y' in terms of 'x'.
10x + 9y = - 12.
9y = - 12 - 10x.
9y = - (12 + 10x).
y = - (12 + 10x)/9.
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i need help with #3 please!!
A function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).
What do you meant by function ?Domain of [tex]$\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & x \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$[/tex]
Range of [tex]$\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-14 \\ \text { Interval Notation: } & {[-14, \infty)}\end{array}\right]$[/tex]
Axis points of interception [tex]$\sqrt{x+18}-14: \quad$[/tex] X Intercepts: [tex]$(178,0), \mathrm{Y}$[/tex] Intercepts: [tex]$(0,3 \sqrt{2}-14)$[/tex]
Asymptotes of [tex]$\sqrt{x+18}-14$[/tex] : None
Extreme Points of [tex]$\sqrt{x+18}-14$[/tex] : Minimum (-18,-14) .
Domain of [tex]$(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Range of[tex]$(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$[/tex]
Axis points of interception [tex]$(x+14)^2-18: \quad$[/tex] X Intercepts: [tex]$(3 \sqrt{2}-14,0),(-3 \sqrt{2}-14,0)$[/tex], Y Intercepts: (0,178)
Vertex of [tex]$(x+14)^2-18: \quad$[/tex] Minimum (-14,-18)
In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable). Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.
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p(x) = x2 – 1 and q (x) = 5 (x minus 1), which expression is equivalent to (p – q)(x)?
For the given expressions p(x) = x²–1, q (x) = 5x - 1,
The expression equivalent to (p-q)(x) is, x² -5x
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression, p(x) = x²–1
Another expression, q (x) = 5x - 1
The equivalent expression = ?
So now, we can subtract both the expressions
⇒ x²–1 -(5x - 1)
⇒ x²–1-5x+1
⇒ x² -5x
Hence, the equivalent expression is x² -5x
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NEED HELP MATH RN IN CLASS
The equation that can be represented by the fraction expression ? * 1/8 = 3 is; How many 1/8's are in 3.
How to solve fraction word problems?In word problems on fraction, what we will seek to do is to solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
For example, 3/7 of a number is 84. Find the number.
Solution:
3/7 of a number = 84
Number = 84 × 7/3
What we have done is to multiply 84 by the reciprocal of 3/7
In this question, we want to know the equation that can be represented by; ? * 1/8 = 3
To get the question mark, we will just divide 3 by 1/8.
This expressed in word problem is;
How many 1/8's are in 3?
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Jesse works for an engineering firm earning $54,000 per year. Jesse is 53 years old and plans on retiring at age 65. He's considering working part-time so that he can work on another degree. His new degree would take him 3 years to earn and cost a total of $30,000. After getting the degree, Jesse will make $75,000 per year.
Part time job want influence previous job.
What is cost?
A cost is the value of money that has been expended in the production or delivery of a good or service and is therefore no longer available for use in accounting, retail, research, or accounting. In business, the cost may be one of acquisition, in which case the cost is the sum of the money used to acquire it.
Given:
Jesse works for an engineering firm earning $54,000 per year.
Jesse is 53 years old and plans on retiring at age 65. He's considering working part-time so that he can work on another degree.
His new degree would take him 3 years to earn and cost a total of $30,000.
Let 53 - 65 he would get 12 x $54000 = $648000
Now, with part time job,
3 years to earn minus $30,000
64800 - 30000 = $618000 {total cost}
He still have 9 years to work .
he still get 75000 x 9 = $675000
Part time job want influence previous job.
Total = $618000 + $675000 = $1293
So its worth.
Hence, part time job want influence previous job.
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35x2/4 help pls
I need help and fast pls
Answer:
17.5
Step-by-step explanation:
hope it helps :)
Answer:
Step-by-step explanation:
35x2=70/4=17.5
Which statement is true
How many solutions does -3(2x + 7) = -6x + 7 have?
Answer: No solution
Step-by-step explanation:
Expand:
-6x - 21 = -6x + 7
Add 6x to both sides
-21 = 7
No solution
PLEASE HELP im going to fail
Answer:
(3 m)/4 = 5/6
Step-by-step explanation:
Solve for m:
(3 m)/4 = 5/6
Multiply both sides of (3 m)/4 = 5/6 by 4/3:
(4×3 m)/(3×4) = 4/3×5/6
4/3×3/4 = (4×3)/(3×4):
(4×3)/(3×4) m = 4/3×5/6
4/3×5/6 = (4×5)/(3×6):
(4×3 m)/(3×4) = (4×5)/(3×6)
(4×3 m)/(3×4) = (3×4)/(3×4)×m = m:
m = (4×5)/(3×6)
The gcd of 4 and 6 is 2, so (4×5)/(3×6) = ((2×2) 5)/(3 (2×3)) = 2/2×(2×5)/(3×3) = (2×5)/(3×3):
m = (2×5)/(3×3)
3×3 = 9:
m = (2×5)/9
2×5 = 10:
Answer: m = 10/9
Answer:
(3 m)/4 = 5/6
Step-by-step explanation:
Late one night a burglar got into one of the vaults in Fort Knox and he stole a big sack of gold coins. On his way out, he was stopped by one of the guards who saw him stealing the bag . Fortunately for him, the burglar was able to negotiate a deal with the guard and offered him half the money he had taken, plus an extra $2,000 thrown in. Just as he was walking away, thinking he had gotten away he was stopped by a second guard who took the same bribe: Half the money with an extra $2000 thrown in. Just as he was about to leave , he was stopped by a third guard who let him go only after receiving half of all the burglar had left with $ 2,000 extra thrown in. By the time he left he had mixed emotions. After all he did leave with $9,000 more than he had when he arrived and he was able to escape. But he thought of all the money he left behind. How much did he steal in the first place?
Answer:
We can start by using algebra to represent the information given in the problem. Let x be the amount of money the burglar stole initially.
According to the problem, when the burglar gave half of the money plus $2,000 to the first guard, he was left with x/2 + 2000.
When he gave the same amount to the second guard, he was left with (x/2 + 2000)/2 + 2000.
And when he gave the same amount to the third guard, he was left with ((x/2 + 2000)/2 + 2000)/2 + 2000.
But we know that he left with $9,000 more than he had when he arrived, So we can say:
((x/2 + 2000)/2 + 2000)/2 + 2000 = x + 9000
We can now solve for x:
x = (900022*2 - 6000)/3
x = 36000/3
x = 12000
So the burglar stole $12000 in the first place.
A large truck, traveling 30 miles per hour, carries a letter from the central post office to the local post office. The letter is then loaded onto a local vehicle, which travels at an average speed of 10 miles per hour, until the letter reaches its destination. The large truck carried the letter for a minutes and the local vehicle carried the letter for b minutes. If the total distance that the letter travelled from the central post office to its destination was 24 miles, which of the following equations correctly relates a and b?
The linear equation that will relate a and b is 30a+10b=24.
What is linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
As given
speed and time it carried letter of large truck=30m/h and a
speed and time it carried letter of local vehicle=10m/h and b
Total distance travelled=24miles
As speed=distance/time
distance=speed*time
Hence,
24=30a+10b
i.e. 30a+10b=24
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A piece of art is in the shape of a rectangular pyramid like the figure shown.
A rectangular pyramid with a base of dimensions 8 feet by 5 feet. The two large triangular faces have a height of 6.3 feet. The two small triangular faces have a height of 7 feet.
How much glass is needed to cover the entire pyramid?
250.8 ft2
167.6 ft2
125.4 ft2
62.7 ft2
Answer: 125.4ft
Step-by-step explanation:
How many pints of cooking oil are needed to have 14 quarts in all?
If you have 14 quarts of cooking oil, you will need 56 pints of cooking oil.
What is quantity?Quantity is a term used to describe the amount or magnitude of something. It can refer to physical items, such as the number of apples in a bag, or abstract concepts, such as the number of people living in a city. It is a measure of how much of something exists, and it is usually expressed in units such as gallons, liters, or pounds.
14 quarts is equal to 56 pints, so 56 pints of cooking oil are needed to have 14 quarts in total. To convert quarts to pints, multiply the number of quarts by 4. Therefore, if you have 14 quarts of cooking oil, you will need 56 pints of cooking oil.
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