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?
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
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
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?
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.
Learn more about Quadratic Equation here:https://brainly.com/question/30098550
#SPJ3
Ayesha bought a 24-pack of lip gloss for $17.04. What is the unit cost per tube of lip gloss?
A.
$0.71
B.
$8.52
C.
$2.84
D.
$1.42
unit price for 3 1/4 yards for 13$
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?
What is the relationship between the 1s in 911,147,835?
Can I get some help! Show your work
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?
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.
Learn more about percentage calculation here:https://brainly.com/question/32197511
#SPJ11
Round 12.5829 to the nearest tenth. Rounded number
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
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?
Joe ran at 6km/h for 30 mins. how far did he run? sorry this is kind of stupid but pls help
Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest
A computer that costs $1099 last year cost $999 this year. What is the percent change? Explain please.
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]
12y+d=-19y+t what is the solution for y?
Find the value of y in this equation: 16y = 164
a
108 degrees
b
24 degrees
c
156 degrees
d
72 degrees
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?
Lila graph the points -2 and 2 on a number line. What does the distance between these two points represent?
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
To learn more on Number system click:
brainly.com/question/22046046
#SPJ5
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
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 pair of vertical angles may also form a linear pair true or false?
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!!!!
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.
For more references on proportion, click;
https://brainly.com/question/2548537
#SPJ5
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
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
4(-8x+5)=-32x-26
Solve show work
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.
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.
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
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.
579/3 579 divides by 3
what are the steps to solve multi-step equations? (in 5 steps)
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
Learn more about solving equations here:
https://brainly.com/question/18015090
#SPJ2