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Related Questions
A large bag contains 12/15 pound of granola how many 1/3 pound bags can be filled with this amount of granola how much granola is left over
Answers
TO get the number of bags, we simply get the quotient, that is:
(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags
Since bags cannot be decimal, so it can only fill 2 bags. The left over is 0.4 or:
0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds
Answer:
2 bags filled, left over is 2/15 pounds of granola
Answer: 2 bags can be filled and [tex]\dfrac{2}{5}[/tex] pound of granola will be left over.
Step-by-step explanation:
Given : A large bag contains [tex]\dfrac{12}{15}[/tex] pound of granola.
The number of bags can be filled with [tex]\dfrac{1}{3}[/tex] pound of granola in each bag will be :-
[tex]\dfrac{12}{15}\div\dfrac{1}{3}\\\\=\dfrac{12}{15}\times\dfrac{3}{1}=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]
Thus, the number of bags = 2
The amount of granola left=[tex]\dfrac{2}{5}[/tex] pound
What is the relationship between the 1s in 911,147,835?
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hundred thousands place
millionth place
and ten millionth place
hope this helps
A model for the path of a toy rocket is given by h= -68t - 4.9t^2
How long does it take the rocket to hit the ground? How high was the rocket at 2 seconds? What is the maximum height of that rocket and how long does it take that rocket to reach it's maximum height?
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I will show you the solution using h = 68t - 4.9t^2
1) How long does it take the rocket to hit the ground?
ground level => h = 0
=> 68t - 4.9t^2 = 0
factor the polynomial => - t (4.9t - 68) = 0
=> t = 0 (which is when the rocket takes off) and 68 + 4.9t = 0 (which is when the rocket to return and hit the ground).
4.9t - 68 = 0 => t = 68 / 4.9 = 13.88 s
Answer: 13.88 s
2) How high was the rocket at 2 seconds?
replace t = 2 in the function h = - 4.9t^2 + 68
=> h = -4.9 (2^2) + 68 = 48.4 m
Answer: 48.4 m
3) What is the maximum height of that rocket and how long does it take that rocket to reach it's maximum height?
Find the vertex of the parabola.
You should know that the vertex is at the midpoint between the two roots (zeros of the polynomial).
You already found the zeros, t = 0 and t = 13.88
So0 the vertex is at t = [0 + 13.88] / 2 = 6.94 s
And the maximum height is h = - 4.9 (6.94)^2 + 68 = 168 m
Answer: h max = 168 m, t = 6.94 s.
The duration for the rocket to hit the ground, its height at 2 seconds, and its maximum height can be calculated using the given quadratic equation for height over time. The maximum height is determined by finding the vertex of the parabola.
Explanation:To determine how long it takes the toy rocket to hit the ground, we need to set the equation for height h to zero and solve for time t. The model for the path of a toy rocket is given by [tex]h = -16t2 - 4.9t2[/tex]. To solve for t, we factor the right side:
[tex]h = -4.9t(16 + t)[/tex]
Since h = 0 when the rocket hits the ground, we set [tex]-4.9t(16 + t) = 0[/tex] and solve for t. There are two solutions: t = 0 (when the rocket is launched) and the positive solution which is when the rocket hits the ground. We disregard the solution t = 0 and solve for the positive solution to find out how long it takes to hit the ground.
To find out how high the rocket was at 2 seconds, we simply plug t = 2 into the original equation:
[tex]h = -16(2)2 - 4.9(2)2[/tex]
And solve for h to get the height at 2 seconds.
To determine the maximum height of the rocket, we need to find the vertex of the parabola represented by the given equation, which is a quadratic function of t. Since the coefficient in front of t2 is negative, the vertex will give us the maximum height. The time it takes to reach the maximum height is given by t = -b/2a, where a and b are coefficients from the equation [tex]h(t) = at2 + bt + c.[/tex] In this case, a = -4.9 and b = -68.
The calculations must be done to find the precise values for the time to hit the ground, the height at 2 seconds, and the maximum height of the rocket, along with the time it takes to reach it.
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Evaluate the expression 6x-x2 for x= 0, 1, 2, 3, 4, 5, and 6. Use your results to fill in the table. Describe any pattern that you see.
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The values of the expression [tex]6x - x^2[/tex] are evaluated for x values from 0 to 6 and a symmetrical pattern around x = 3 is observed, with the expression value increasing up to x = 3 and then decreasing symmetrically.
The expression to evaluate is [tex]6x - x^2[/tex]. Let's plug in each value of x into the expression and see the result.
For x = 0: the expression becomes [tex]6(0) - (0)^2[/tex] = 0.For x = 1: the expression becomes [tex]6(1) - (1)^2[/tex]= 5.For x = 2: the expression becomes [tex]6(2) - (2)^2[/tex] = 8.For x = 3: the expression becomes [tex]6(3) - (3)^2[/tex] = 9.For x = 4: the expression becomes [tex]6(4) - (4)^2[/tex] = 8.For x = 5: the expression becomes [tex]6(5) - (5)^2[/tex] = 5.For x = 6: the expression becomes [tex]6(6) - (6)^2[/tex] = 0.The pattern we can observe from filling the table is that the value of the expression increases until x = 3 and then decreases symmetrically.
At x = 0 and x = 6, the expression has a value of 0, creating a symmetry about the axis x = 3, which is the vertex of the parabola represented by the given quadratic expression.
Mario ordered a pizza for dinner when it arrived Mario ate 1/8 of the pizza his pet poodle ate 1/3 of the pizza what is the portion that has been eaten?
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3 + 8 = 11
11/24 of the pizza has been eaten
hope this helps
you randomly pick two numbers from 1 to 9. If you could pick the same number twice and the first of the two numbers are in less than five in the probability that the sum of the two numbers is less than five is
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During a card game you give someone 5 cards then someone else gives you 7. Write an addition expression to describe this situation. Then find the sum.
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c = (-5) + 7
c = 2
You have 2 additional cards.
g will be the final amount
x - 5 + 7 = g
x +(7-5) = g
x + 2 = g
answer
x + 2 = g
hope this helps
Lila graph the points -2 and 2 on a number line. What does the distance between these two points represent?
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if this really helped mark me as brainliest ^-^
4 units is the distance between these two points represent
What is Number system?A number system is defined as a system of writing to express numbers.
Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
Let the x point is at minus two and y is at two
The distance will be always positive
As we count the number of humps for each unit we get four.
So the distance is 4 units.
The distance between two points is the length of the line joining the two points
|-2-2|=4
Hence, 4 units is the distance between these two points represent
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Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest
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2 x 2 x 3 x 5 is your answer
hope this helps
2 x 2 x 3 x 5 will be your answer
Round 12.5829 to the nearest tenth. Rounded number
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Answer:
12.5829=12.6
Because the 5 is the tenths place, and the 8 is greater than 5, so that would make the 5 go up to 6
Find the value of y in this equation: 16y = 164
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Divide both sides by 16
So y= 164/16
Your answer will be a fraction
A pair of vertical angles may also form a linear pair true or false?
Answers
Hope this Helps!
Taylor buys 6 bus tickets. He pays for the tickets with a $20 bill. Let c represent the cost of each ticket. Which expression shows how much change Taylor will receive?
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your expression will be 20 - 6c
hope this helps
12y+d=-19y+t what is the solution for y?
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Without values for the other variables, I assume you're asking for a literal equation.
12y+d=-19y+t
31y+d=t
31y=-d+t
y=(-d+t)/31
+19y to 12y
31y+d=t
-d
31y=t-d
Divide 31 to get y by itself
Y=t/31-d/31
I THINK
what are the steps to solve multi-step equations? (in 5 steps)
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The steps to solve multi-step equations are;
1. Parenthesis
2. Exponents
3. Multiplication/division
4. Addition/subtraction
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
To solve an equation, they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
For the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The steps to solve multi-step equations are;
1. Parenthesis
2. Exponents
3. Multiplication/division
4. Addition/subtraction
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Rita earned 20 points on a quiz. She lost 5 points for poor penmanship , then earned 10 points of extra credit. What’s Rita’s final score on the quiz?
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15
Now, 15 + 10 is her score after her extra points.
25 points
Hope this helps!
If Rita earned 20 points on the quiz, and then lost 5 for poor penmanship the equation will look like 20 - 5 = 15.
Then, if she earned 10 points for extra credit, we add 15 and 10 to get 25.
20 - 5 + 10 is what the equation should be.
4(-8x+5)=-32x-26
Solve show work
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-32x + 20 = -32x - 26
-32x +32x = -20 - 26
0 = -46
unsolvable
hope this helps
579/3 579 divides by 3
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The expression 53(1+x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Drag the parts of the expression into the boxes to match each description. cost of meal tip percentage
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53 in the expression repressent the cost of meal while x represent the tip percentage.
The correct answers are:
53 is the cost of the meal and x is the tip percentage.
Explanation:
When we add a tip to the total cost of a meal, we pay 100% of the cost of the meal plus an additional amount. In decimal form, this gives us 1 + the decimal for the tip percent. This is the (1+x) in this expression.
We multiply this (1+x) by the cost of the meal. This means that in this case, 53 is the cost of the meal.
a
108 degrees
b
24 degrees
c
156 degrees
d
72 degrees
Answers
3x = 4x - 24
x = 24
But, this question is not over. This question is asking for angle RST, not x.
3(24) = 72
Hope this helped!
Joe ran at 6km/h for 30 mins. how far did he run? sorry this is kind of stupid but pls help
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To get from 60 to 30, we can divide by 2. REMEMBER: Divide on both sides!
6/2=3
We end up getting 3km.
Hope this helps and please mark brainiest :D
what is the slope of y = 3.9
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The slope is 0 because this line is a flat horizontal line.
We can write y = 3.9 as y = 0x+3.9
The equation y = 0x+3.9 is in the form y = mx+b where m = 0 is the slope.
Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent say so.
7x-4y=3
21x-12y=9
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21x-12y=9
x=1
y=1
A computer that costs $1099 last year cost $999 this year. What is the percent change? Explain please.
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Answer:
9.1
Step-by-step explanation:
Formula; Higher value-lower value/Original value x 100
Solve;
$1099-$999/$1099 x100
= 100/1099 x100
= 9.0991810737
Round = 9.1
[RevyBreeze]
Imani gives vitamins to her dog.The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds. What is the correct dosage for each dog? Set up a proportion. Please help me!!!!
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bruiser = 8
dyst ball = 0.7
The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.
What is a proportion?A proportion is a comparison of two numbers that each represent the parts of a whole.
Given that, Imani gives vitamins to her dog. The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds.
The proportion will be = 1/10 = x/80 = y/7
x = 8 and y = 0.7
Hence, The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.
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PLEASE HELP!!!!!
The table shows the outputs, y, for different inputs, x:
Input (x) 6 12 15 25
Output (y)14 15 15 16
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 7x − 15. Which relation has a greater value when x = 6?
Part C: Using the relation in Part B, what is the value of x if f(x) = 6?
Answers
----------------------------------------------
Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6
----------------------------------------------
Part C:
Replace f(x) with 6 and solve for x
f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3
So the final answer, for part C, is x = 3
Sarah mailed her computer to Store B for repairs. Her bill was: Total Cost of Computer Repair = $1,444.50 Shipping = 2 percent of Total Cost If Sarah wanted to include a 15 percent gratuity, based on the total cost of the computer repair, excluding shipping, how would you find her new total cost?
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Answer:
The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.
Step-by-step explanation:
Endogeneity answers
The new total cost Sarah has to pay, including the 15% gratuity is $1690.07. This is calculated by adding her repair cost, shipping fee, and gratuity together.
Explanation:The total cost that Sarah has to pay can be calculated by adding up the cost of computer repair, the cost of shipping, and the gratuity she wants to include. The cost of shipping is 2 percent of the total cost of computer repair, so it would be $1,444.50 * 0.02 = $28.89. The gratuity Sarah wants to pay is 15 percent of the total cost of the computer repair (excluding the cost of shipping) which is $1,444.50 * 0.15 = $216.68.
Adding all these together: $1444.50 (Cost of Repair) + $28.89 (Shipping) + $216.68 (Gratuity) gives us a total cost of $1690.07. This will be the new total cost Sarah has to pay.
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A bakery uses 48 pounds of flour each day. It is open for business 28 days each month. How many pounds of flour does the bakery use each month? A.1,500 pounds , B.1,344 pounds , C. 800 pounds ,Or D.76 pounds?
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Andy ate 3/4 cup of oatmeal on Monday and 1/4 cup oatmeal on Tuesday how much oatmeal did he eat on the 2days
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When adding fractions make sure to only add the numerators (top number) and not the denominators (bottom number). So,
3/4 + 1/4 = 4/4
The simplest form of 4/4 is 1. So, the answer is 1.
I hope this helped you!
unit price for 3 1/4 yards for 13$
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------- = ------ = 0.25 as a decimal and 1/4 as a fraction
13 1
Hope this helps!