In the scoring question, 6 represents the missed extra points. For the second question, Jacob initially subtracted 3 from both sides of the equation, then he multiplied both sides by 1/2 to solve for x.
Explanation:1.) Given the equation for the total score of the football team, 7t - 6, where t represents the number of touchdowns. Each touchdown is worth 7 points (6 points for the touchdown and a possible extra 1 point). If the total score is 7t - 6, then the 6 in the equation represents the number of extra points missed. So the correct answer is C.
2.) As for Jacob's method on solving the equation 2x + 3 = 5, he should first isolate the term with x by using the addition property of equality, subtracting 3 from both sides.
This changes the equation to 2x = 2. Afterwards, he can use the multiplication property of equality by multiplying both sides by 1/2 to solve for x.
Therefore, it sounds like Jacob added -3 to both sides and multiplied both sides by 1/2, which makes the correct answer A.
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A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)
A 6-pound bag of sugar can make 14 whole batches of muffins and the cost for sugar per each batch is approximately $0.32.
Explanation:The subject of this question is in the field of Mathematics, specifically dealing with ratios and proportions. To determine the number of whole batches of muffins a bag of sugar can make, you will first need to find the number of cups in the bag. Given that 1 cup is equivalent to 48 teaspoons and the 6-pound bag of sugar contains 681 teaspoons, divide 681 by 48 to get roughly 14.1875. Since we cannot make a fraction of a batch, round down to 14, which is the number of whole batches we can make.
To find the cost per batch, divide the total cost ($4.49) by the number of batches (14) to get a per-batch cost of roughly $0.32.
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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?
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?
PLEASE HELP ON 25! ASAP!!
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.
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the average cost of regular gasoline in north carolina increased by 73% from 2006 to 2007. If the average cost of a gallon of gas in 2006 was %2.069, what was the average cost in 2007?
The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.
Explanation:The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,
First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.
Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $
3.57937
.
So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).
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What is the relationship between the 1s in 911,147,835?
unit price for 3 1/4 yards for 13$
To find the value of an expression is to _______________.
variable
squared
algebra
evaluate
If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?
Answer:
C
Step-by-step explanation:
The person weighs 560 more on Mars than on the moon.
On comparing the weight of the individual on Earth, Mars and Moon, we concluded -
W[Earth] > W[Mars] > W[Moon]
What is Weight ?
Weight is the force exerted by the earth on an object at the surface of the earth. Mathematically -
W = m x g
where -
[m] is the mass of object
[g] is acceleration due to gravity
Given is a person who weighs 240 pounds on Earth.
The weight of the individual in kg m/s² (Newtons) on earth would be -
W[Earth] = 240 x 0.45359237 x 9.8 = 1066.84 N
The weight of the same individual on mars would be -
W[Mars] = 240 x 0.45359237 x 3.11 = 333.56 N
The weight of the same individual on moon would be -
W[Moon] = 240 x 0.45359237 x 1.625 = 176.90 N
Therefore, we can conclude that W[Earth] > W[Mars] > W[Moon].
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Arrange these from smallest to largest, 1/6,0.29,23%,3/5,0.027
To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, convert them to decimals and then compare. The order from smallest to largest is: 0.027, 1/6 (0.166...), 23% (0.23), 0.29, and 3/5 (0.6).
Explanation:
To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, we first need to convert them all to the same format. We can convert percentages to decimals by dividing by 100 and fractions to decimals by division. Here are the conversions:
1/6 = 0.166...0.29 (already a decimal)23% = 0.233/5 = 0.60.027 (already a decimal)Now that they are all in decimal form, we can easily compare them:
0.027 (smallest)1/6 (or 0.166...)23% (or 0.23)0.293/5 (or 0.6, largest)HELP ME THANKSSSS :)
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 town received 2 3/4 inches of rain one day and 5 2/5 inches the next day .How many of inches of rain fell in the town over the two days
what is the slope of y = 3.9
a
108 degrees
b
24 degrees
c
156 degrees
d
72 degrees
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
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Maggie’s brother is 6 years younger than three times her age. The sum of their ages is 42. How old is Maggie?
Express 152 as a product of prime factors in index form
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]
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.
The temperature at noon is 75 Fahrenheit. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.
round 76,912 to the nearest ten thousand
A pair of vertical angles may also form a linear pair true or false?
A restaurant took 1/10 of an hour to use 1/6 of a package of napkins at this rate how many hours would it take to use the entire package
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
Evaluate a + b for a =34 and b =-6
for what values of x will the result of 5x be greater than 1
Leo and Robyn have received projects' funding of $39 655. They decide to share the funding in the ratio of 2:3 (Leo:Robyn) for their own research. How much does each person receive?
can you please help me to solve this?
Leo and Robyn receive $15,862 and $23,793 respectively.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
Total funding= $39655.
Funding in the ratio = 2:3
If x is the part by which one person receive;
The equation is found as;
2x+3x=$39655.
5x=$39655.
x=7931
Leo gets;
2x=2×$7931= $15,862
Robyn gets;
3x=3×$7931== $23,793
Hence,Leo and Robyn receive $15,862 and $23,793 respectively.
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Rachel’s phone company limits her monthly data usage to 3 gigabytes. She has already used 2,645 megabytes. How many gigabytes of data does she have left this month?