A dog food company makes two kinds of canned dog food. a
can of the big-n-beefy brand contains 8 oz. of beef byproducts
and 4 oz. of meal. a can of the grand gourmet brand contains 5
oz. of beef byproducts and 7 oz. of meal. the machine that
grinds the beef byproducts can grind 340 oz. per hour while the
machine grinding the meal can grind 330 oz. per hour.
let b represent the number of cans of big-n-beefy that are
produced each hour, and g represent the number of cans of
grand gourmet produced each hour.
identify the inequalities that represent constraints on the
number of cans of dog food this company can produce each
hour. select all that apply.
Inequalities to represent the constraints for the number of cans of dog food is given by 8b + 4g < 340 , 5b + 7g < 330.
As given in the question,
Let the number of cans of dog food of big-n beefy produced in each hour is represented by 'b'
And the number of cans of dog food of grand gourmet produced in each hour is represented by 'g'
Big-n- beefy contains :
8oz. of beef and 4oz. of meal in 340oz. per hour
Grand gourmet contains :
5oz. of beef and 7oz. of meal in 330oz. per hour
Inequalities to represent the constraint are given by :
8b + 4g < 340
5b + 7g < 330
Therefore, the inequalities to represents the constraints produced number of cans food in each hour is given by :
8b + 4g < 340 , 5b + 7g < 330.
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A traffic engineer developed the continuous function R, graphed above, to model the rate at which vehicles pass a certain intersection over an 8-hour time period, where R(t) is measured in vehicles per hour and t is the number of hours after 6:00 AM. According to the model, how many vehicles pass the intersection between time t = 0 and time t = 8? A. 1400 B. 1600 C. 14,400 D. 44,800
the total area under the curve is 2400.
To find the number of vehicles that pass the intersection between time t = 0 and time t = 8, we need to calculate the definite integral of the function R(t) from t = 0 to t = 8:
∫(0 to 8) R(t) dt
Looking at the graph of R(t), we can see that it consists of two parts: a rectangle with base 2 and height 600, and a triangle with base 6 and height 400. The area of the rectangle is 2 x 600 = 1200, and the area of the triangle is (1/2) x 6 x 400 = 1200. Therefore, the total area under the curve is 2400.
So, the number of vehicles that pass the intersection between time t = 0 and time t = 8 is:
∫(0 to 8) R(t) dt = 2400
Since R(t) is measured in vehicles per hour, this means that 2400 vehicles pass the intersection between time t = 0 and time t = 8. Therefore, the answer is 2400, which is not one of the given answer choices.
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what is the simplest form
Answer:
c. 5 time the square root of 3
In a neighborhood of 72 families. 18 families on one or more cats. Write the number of families who own one or more cat as a fraction. Then write the fraction as a decimal.
Answer:
0.25
Step-by-step explanation:
The fraction is 18/72. The decimal is different. If you divide 72 by 18, you get 4. That tells you how it is in a quarter, aka four pieces. Divide 100 by 4, you get 25. That’s why the answer is 0.25
(b)
Mariam uses 25 g of baking powder. How much flour does she need to use?
(c) Mariam uses 720 g of flour. How much baking powder does she need to us
(d) Mariam wants to bake 4 cakes. How many baking powder and flour does she need
Answer: I don't know how to answer this question
This question needs an explanation of how much flour is needed to make a cake.
The ratio of students to teachers on field trip is 15 to 1. If 19 teachers are on the field trip, how many students are there?
Answer:
there are 285 students
Step-by-step explanation:
. 15 x 19 = 285, so 285 students
Answer:
285 students
Step-by-step explanation:
Lets go over what we know!
The ratio is 15 : 1
This means for every 15 students, there is 1 teacher.
There are 19 teachers.
1 : 15 = 19 : ?
To find out how many students are there, we need to multiply our ratio by 19:
1*19 : 15*19 = 19 : 285
So there are 285 students to the 19 teachers.
Hope this helps :3
I want the answer fast plz
Answer:
y=-x/3+2
Step-by-step explanation:
If you graph out 3x-y-7=0, you will get a line that goes through the points (0, -7), and about (2.3, 0). If you graph out y=x/3+2, you have to make sure that this line forms a 90 degree angle on the previous line, thus making this line perpendicular to the previous line.
Landon has 2/5 gallons of juice leftover from a party. After he gives his cousin some juice to take home he has 3/5 of a gallon left. How much juice did Landon give his cousin
Landon had 2/5 gallons of juice leftover from a party, and after giving some to his cousin, he had 3/5 gallons left. He gave his cousin "x - 1" gallons, where "x" is the original amount of juice.
Let's start by defining the amount of juice Landon had originally as "x". We know that he had 2/5 gallons of juice leftover after the party, which means that he had used up x - 2/5 gallons of juice during the party.
We also know that after giving his cousin some juice to take home, he had 3/5 gallons of juice left. So, we can set up an equation:
x - 2/5 - y = 3/5
where "y" is the amount of juice Landon gave his cousin.
To solve for "y", we can simplify the equation:
x - 2/5 - y = 3/5
x - y = 1
y = x - 1
Therefore, Landon gave his cousin "x - 1" gallons of juice.
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25. The manager of a coffee shop has Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10
per pound. The manager wishes to mix 80 pounds of the Kenyan coffee with the Costa Rican coffee to get a mixture that
will sell for SS per pound. How many pounds of the Costa Rican coffee should be used?
The Costa Rican coffee should be used is 160 pound.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given that the cost of Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10.
The cost of the mixture is $8.5 per pound.
Assume that the manager mixed 80 pounds of the Kenyan coffee with the x pound of the Costa Rican coffee to get a mixture.
The cost of 80 pound Kenyan coffee is $(80×10) = $800.
The cost of x pound Costa Rican coffee is 7x.
The cost of mixture coffee is (80 + x)8.5
According to the question:
800 + 7x = (80 + x)8
800 + 7x = 640 + 8.x
640 + 8x = 800 + 7x
x = 800 - 640
x = 160
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triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What is the perimeter of triangle XYZ ?
Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = \(\frac{25.2}{42}\) = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm
The total money earned if Lee sold four scarves at twenty dollars each.
Answer:
$80
Step-by-step explanation:
If we have four scarves, and each costs $20, we can multiply these two numbers to find the total profit made.
\(20\cdot4\)
2 times 4 is 8, and adding a 0 to that is 80.
Hope this helped!
Solve this system of linear equations without graphing: pls round your question to the nearest tenth.
Answer:
x=3.6, y=-2.5
Step-by-step explanation:
we have:
5x+4y=8
10x-4y=46
add across to get rid of y (5x+10x=15x, 4y+(-4)=0y, 8+46=54:
15x=54
dividing both sides by 15
x=3.6
input x=3.6 into any of the first two equations, I'll use the first:
5x+4y=8
5(3.6)+4y=8
18+4y=8
subtract 18 on both sides
4y=-10
y=-10/4=-2.5
y=-2.5
Is the following a property that holds for all non-decreasing positive functions f and g? (True=Yes/ False=No)
If f(n) = O(n2) and g(n) = Theta(n2), then f(n) = O(g(n)).
The answer to the question is True. This can be answered by the concept of Trigonometry.
First, let's recall the definitions of the asymptotic notations used in the question
f(n) = O(n²) means that there exists a positive constant c and a positive integer N such that f(n) <= c × n² for all n >= N.
g(n) = Theta(n²) means that there exist positive constants c1, c2, and a positive integer N such that c1 × n² <= g(n) <= c2 × n² for all n >= N.
Now, since f and g are non-decreasing positive functions, we can assume without loss of generality that N > 0 and c1 > 0. Then, for all n >= N, we have:
f(n) <= c × n² (by the definition of O notation)
c1 × n² <= g(n) <= c2 × n² (by the definition of Theta notation)
Multiplying the first inequality by c1, we get:
c1 × f(n) <= c × c1 × n²
Since c1 and n^2 are positive, we can divide both sides by n² to obtain:
c1 × (f(n) / n²) <= c × c1
Now, let's define a new function h(n) = f(n) / n². Since f(n) and n² are both non-decreasing positive functions, h(n) is also non-decreasing and positive. Moreover, for all n >= N, we have:
h(n) <= (c × c1) / c1 = c
Therefore, we have shown that there exists a positive constant c and a positive integer N such that h(n) <= c for all n >= N. This means that h(n) = O(1).
Using this result, we can conclude that:
f(n) = h(n) × n² = O(1) × n² = O(n²)
Therefore, we have:
f(n) = O(n²) and g(n) = Theta(n²) => f(n) = O(g(n))
Therefore, the answer to the question is True.
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If the 2nd term is 2 and the 5th term is 432, find the 3rd term of the geometric sequence.
The 3rd term of the geometric sequence is 6.
Describe Equation.In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are unknown quantities that can take on different values. Equations are used to represent relationships between quantities, and they can be used to solve problems by finding the values of the variables that make the equation true.
An equation typically consists of two sides, separated by an equal sign. Each side can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. For example, the equation:
2x + 3 = 7
contains the variable x, as well as constants 2, 3, and 7, and mathematical operations of addition and multiplication.
Equations can be solved by applying algebraic techniques to isolate the variable on one side of the equation. For example, to solve the above equation for x, we can first subtract 3 from both sides to get:
2x = 4
Then, we can divide both sides by 2 to get
x = 2
This is the solution to the equation, which means that x must be equal to 2 in order to make the equation true.
Equations are used in many areas of mathematics, including algebra, calculus, geometry, and trigonometry. They are also used in physics, engineering, and other sciences to model physical phenomena and solve problems related to them.
Let's call the first term of the geometric sequence "a" and the common ratio "r".
The formula for the nth term of a geometric sequence is:
an = a *\(r^(n-1)\)
We are given that the 2nd term is 2, so we know that:
a * r = 2 --(1)
We are also given that the 5th term is 432, so we know that:
a * \(r^4\) = 432 --(2)
Now we need to solve for "a" and "r" in order to find the 3rd term.
First, let's solve equation (1) for "a":
a = 2 / r
Now we can substitute this expression for "a" into equation (2):
(2/r) *\(r^4\)= 432
Simplifying, we get:
\(r^3\)= 54
Taking the cube root of both sides, we get:
r = 3
Now we can substitute this value for "r" back into equation (1) to solve for "a":
a * 3 = 2
a = 2/3
So the first term of the sequence is 2/3 and the common ratio is 3.
Now we can use the formula for the 3rd term of a geometric sequence:
a3 = a * \(r^(3-1)\)
a3 = (2/3) *\(3^2\)
a3 = (2/3) * 9
a3 = 6
Therefore, the 3rd term of the geometric sequence is 6.
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What is another way of writing the following expression?
4 + 5 + 2
Answer:
2+4+5 or 5+4+2 it functions in all the ways Simce it is sum XD
How many nickels have the same value as a quarter?
nickels
A half dollar?
Nickels
Answer:
5 Nickels = 25 Cent Quarter
10 Nickels = Half a dollar
A container in the shape of a cube has sides 25 cm long. Calculate its volume in
cubic cm
The volume of the cube in cubic centimeters is 15,625 cubic cm.
The volume of a container in the shape of a cube that has sides 25 cm long is calculated by using the formula;
Volume of cube = (side)³ cubic units
= 25³ cubic cm
= 15625 cubic cm
Therefore, the volume of the container in cubic cm is 15,625 cubic cm.
A cube with side length of 25 cm has a volume of 15,625 cubic cm.
Since all the sides of a cube are equal, the volume of a cube can be determined by cubing the length of any side.
The volume is given in cubic units and so we use cubic centimeter as the unit of measurement.
Therefore, volume of the cube in cubic centimeters is 15,625 cubic cm.
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The volume of the cube in cubic centimeters is \(15625 cm^3\)
What is the volume?A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. It looks like a hexagon when viewed from a corner, and its net is typically portrayed as a cross. One of the five Platonic solids, the cube is the only regular hexahedron.
The total number of cubic units that a cube occupies in three dimensions is its volume.
Given that the sides =25 cm long
Volume of cube = \((side)^3\) cubic units
= \(25^3 cubic cm\)
= \(15625 cm^3\)
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10. How can you identify a and b from a situation?
Answer:
a would be slope and b would be y-intercept.
m and b are usually the ones a lot of people use. m is slope and b is y-intercept.
I need help with this elimination problem
Add up the same sides of both equations to eliminate x :
(x - 2y) + (-x + 3y) = 8 + (-5)
(x - x) + (-2y + 3y) = 8 - 5
y = 3
Then
x - 2y = x - 6 = 8 → x = 14
Five times a number gives the same answer as adding 24 to the number.
What is the number?
Answer:
I think it 4.5
Step-by-step explanation:
11-1 Skills Practice. Areas of Parallelograms and Triangles. Find the perimeter and area of each parallelogram or triangle.
The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and 30 in² respectively.
In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:
Perimeter of a parallelogram = 2 x (length + width)
Area of a parallelogram = base x height
Perimeter of a triangle = sum of the lengths of its sides
Area of a triangle = 1/2 x base x height
Now, let's apply these formulas to each shape:
Parallelogram with length 6 cm and width 4 cm:
Perimeter = 2 x (6 + 4) = 20 cm
Area = 6 x 4 = 24 cm²
Triangle with base 9 cm and height 5 cm:
Perimeter = 9 + 8 + 7 = 24 cm
Area = 1/2 x 9 x 5 = 22.5 cm²
Parallelogram with length 14 ft and width 7 ft:
Perimeter = 2 x (14 + 7) = 42 ft
Area = 14 x 7 = 98 ft²
Triangle with base 12 cm and height 8 cm:
Perimeter = 12 + 8 + 10 = 30 cm
Area = 1/2 x 12 x 8 = 48 cm²
Parallelogram with length 18 m and width 5 m:
Perimeter = 2 x (18 + 5) = 46 m
Area = 18 x 5 = 90 m²
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#SPJ11Triangle with base 6 in and height 10 in:
Perimeter = 6 + 8 + 10 = 24 in
Area = 1/2 x 6 x 10 = 30 in²
Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.
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Help plz suppose the length of the fence was 1 1/3 how would you change the number lines to solve the problem? Just do it plz
Answer:
Step-by-step explanation: sowwy I dunno
Sam made the shape at the right from colored tiles. What is the area of the shape?
Answer:
Step-by-step explanation:
pls pls plspls help me out with this
Answer: 35%
Step-by-step explanation:
- To start off divide 100% by the 20$ it began with, it should give you 5%
100/20 = 5
this means that every dollar is worth 5%
- now leaving that aside, subtract 20$ by 13$, it should give you 7$
2--13 = 7
the reason you do this is because since we're looking for the amount reducted, you have to subtract from the beginning amount.
- Finally, with the knowledge gathered, you multiply 5% by the 7$ that were deducted, it should give you 35%
7(5) = 35
The reason we did this is because every dollar is worth 5% and there were 7$ deducted, it results in 35% reduced.
Answer: 35%
Step-by-step explanation: I turned 13 and 20 into 13/20, or 13 out of 20 dollars charged. Then, I multiplied 13/20 by 5/5, which equals 65/100, or 65% or the original price was paid. The other 35% of the 20 dollars wasn’t, because that’s how much of the original price was discounted.
Michael is purchasing back to school supplies. He gets a math workbook for $19.88, a calculator for $35.97, and 3 packs of pencils for $3.24 each. How much did he spend on school supplies?
49
11. What is the value of the expression m^3, when m=-8. (Hint: m to the the
third power)
Your answer
Hey there!
m^3
= -8^3
= -8 * -8 * -8
= 64 * -8
= -512
Therefore, your answer is: -512
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times. Part A: Based on the results, what is the experimental probability of the coin landing heads up
The experimental probability of the coin landing heads up is calculated by dividing the number of times the coin landed heads up (16) by the total number of flips (40). So the experimental probability of the coin landing heads up is:
P(heads up) = 16/40
Simplifying the fraction by dividing both the numerator and denominator by 8, we get:
P(heads up) = 2/5 or 0.4
Therefore, based on the results, the experimental probability of the coin landing heads up is 0.4 or 2/5.
To find the experimental probability of the coin landing heads up, you'll need to use the following formula:
Experimental probability = (Number of successful outcomes) / (Total number of trials)
In this case, the successful outcome is the coin landing heads up, which occurred 16 times. The total number of trials is 40 flips. So, the experimental probability would be:
Experimental probability (heads up) = (16 successful outcomes) / (40 total flips)
Now, divide 16 by 40 to get the probability:
Experimental probability (heads up) = 16/40 = 0.4 or 40%
So, based on the results, the experimental probability of the coin landing heads up is 40%.
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find the slope of a line that includes the points (1,-2) and (2,0)
Answer:slope is 2 or 2/1 whichever way you choose to write it, it’s the same thing
Step-by-step explanation:
What is the future value of the mixed stream at the end of year 5? (show your work. label $. two decimal places required.)
The future value of the mixed stream at the end of year 5 based on the savings amounts is $13,119.97.
What is the future value?The future value is calculated as:
= ∑(Future value of each cash flow)
Solving gives:
= (1,500 x 1.05⁴) + (7,700 x 1.05³) + (1,200 x 1.05²) + (1,000 x 1.05¹) + (10 x 1.05⁰)
= $13,119.97
In conclusion, the future value is $13,119.97.
Full question is:
What is the future value of the following mixed stream at the end of 5 years, assuming a 5% rate of return? Year 1 2. 3 S Savings $1,500 $7,700 $1,200 $1,000 $10
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help. I'lll try to give brainliest if two people answer
Answer:
x = 21
Step-by-step explanation: