Answer:
(a). 4,832
(b). 62,816
Step-by-step explanation:
We have been given that during the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.
(a). To find the total yards passed by quarterback, we will multiply total number of games in one season by yards passed in one game.
[tex]\text{Total yards passed by quarterback in one season}=16\times 302[/tex]
[tex]\text{Total yards passed by quarterback in one season}=4,832[/tex]
Therefore, the quarterback passed 4,832 yards in one season.
(b). To find the total yards passed by quarterback in his career, we will multiply total number of yards passed in one season by 13.
[tex]\text{Total yards passed by quarterback in hos career}=13\times 4,832[/tex]
[tex]\text{Total yards passed by quarterback in hos career}=62,816[/tex]
Therefore, the quarterback passed 62,816 yards in his career.
Final answer:
The quarterback passed for a total of 4,832 yards during the 2011 season and is projected to pass for 62,816 yards in his entire career.
Explanation:
The questions can be answered as -
a. To find the total yards the quarterback passed during the 2011 season, we need to multiply the average yards per game by the number of games played.
Since he passed for 302 yards per game and played in all 16 regular season games, the total yards passed would be 302 x 16 = 4,832 yards.
b. If the quarterback matches this passing total for each of the next 13 seasons, we can find the total yards he will pass for in his career by multiplying his average yards per game by the number of games played in each season and then adding up the totals.
Since he passed for 4,832 yards in the 2011 season and plays 16 games per season, the total yards he will pass for in his career would be 4,832 x 13 = 62,816 yards.
4. What is the perimeter of the triangle shown below?
12
273
32
Answer:
[tex]6\sqrt{2}+2\sqrt{3}[/tex]
Step-by-step explanation:
To find the perimeter of something, you add all sides. But the issue here is simplifying the squares. The easy way to do this is separate out as many squares as you can. You'll see what I mean.
[tex]\sqrt{12} + 2\sqrt{2} + \sqrt{32}\\ \sqrt{4*3}+2\sqrt{2} + \sqrt{4*4*2}\\ \sqrt{4}*\sqrt{3}+2\sqrt{2} +\sqrt{4} *\sqrt{4} *\sqrt{2}\\ see?\\2\sqrt{3}+2\sqrt{2} +4 \sqrt{2}\\ so the answer is:\\6\sqrt{2}+2\sqrt{3}[/tex]
is 1/3 less than 1?
Answer:
Yes
Step-by-step explanation:
1/3 is less than 1 because 1/3 is equal to .3333 and so on
.3333 is less than 1
Solve the following systems using substitution.
X - 9y = 25
6x - 5y = 3
Answer:
x = -2, y = -3
Step-by-step explanation:
Multiply eqn1 by the LCM of 1 and 6 i.e coefficients of x
We get:
6x - 54y = 150 (eqn1)
6x - 5y = 3 (eqn2)
- 49y = 147
y = 147
-49
y = -3
Substitute y in eqn2
6x - 5(-3) = 3
6x + 15 = 3
6x = -12
x = -2
casey bought sandwiches and a bag of chips. Each sandwich cost three times as much as bag of chips. She bought 5 sandwiches for 6 dollars each and spent 42 dollars. How many bags of chips b did she buy?
Final answer:
Casey spent $12 on chips that cost $2 per bag, so she bought 6 bags of chips.
Explanation:
Casey bought 5 sandwiches at $6 each, totaling $30 spent on sandwiches. Since she spent $42 in total, we subtract the amount spent on sandwiches from the total amount to find out how much she spent on bags of chips: $42 - $30 = $12 spent on chips. Each sandwich cost three times as much as a bag of chips, so one bag of chips costs $6 / 3 = $2. To find out the number of bags of chips b she bought, we divide the total spent on chips by the cost of one bag: $12 / $2 = 6 bags of chips.
A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo only has room for 12 female gazelles. Let x = the number of female gazelles and y = the number of male gazelles. Write the constraints to represent a thriving population of gazelles at the zoo.
A.x > 0 and y > 0
B.0 < x ≤ 12 and 0 < y ≤ 36
C.0 < x ≤ 12 and y > 36
D.x > 0 and y < 23
Answer:
B.0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Final answer:
The constraints for a thriving population of gazelles at the zoo, with a limit of 12 female gazelles and the need for thrice as many males, are 0 < x ≤ 12 and 0 < y ≤ 36, which matches answer option B.
Explanation:
To represent a thriving population of gazelles in the zoo, we must write constraints that capture the relationship between the number of female gazelles (x) and the number of male gazelles (y). Since the zoo can only accommodate 12 female gazelles, and the herd requires three times more males than females, we can express the constraints as inequalities.
The first constraint pertains to the maximum number of female gazelles, which is 12. Therefore, we have 0 < x ≤ 12. The second constraint relates to the male gazelles, as we need three times as many males as there are females, so y = 3x. Since x has an upper limit of 12, the maximum value for y would be 36 (3 times 12).
Taking into account that we cannot have a negative number of gazelles, the constraints for a population to thrive are:
0 < x ≤ 12: the number of female gazelles must be positive and no more than 12.0 < y ≤ 36: the number of male gazelles must be positive and no more than three times the maximum number of female gazelles.
Given these constraints, the correct answer is B. 0 < x ≤ 12 and 0 < y ≤ 36.
hey i need help i need it done soon plz help it is 3/8 and you add 1/2
Answer:
Add: 3
8
+ 1
2
= 3
8
+ 1 · 4
2 · 4
= 3
8
+ 4
8
= 3 + 4
8
= 7
8
The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 2) = 8. The fraction result cannot be further simplified by cancelling.
In words - three eighths plus one half = seven eighths.
Answer:7/8
Step-by-step explanation:The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(3/8, 1/2) = 8
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(3/8×1/1)+(1/2×4/4)=?
Complete the multiplication and the equation becomes
3/8+4/8=?
The two fractions now have like denominators so you can add the numerators.
Then:
3/8+4/8=7/8
This fraction cannot be reduced.
The total cost C ( in dollars) to participate in a triathlon series is given by the literal equation C =90x+35 where x is the number of triathlon in which you participate. If your maximum annual triathlon cost is 1000 what is the maximum number of triathlons in who you could prarticipate?
Answer:
The answer is below in the photo.
Answer:
We can participate in 10 triathlons.
Step-by-step explanation:
Total cost C to participate in x number of triathlon is given by the expression
C = 90x + 35
If the maximum cost of the annual triathlon is = $1000
Then we can find the maximum number of triathlons by putting C = $1000 in the expression
1000 = 90x + 35
90x = 1000 - 35
90x = 965
x = [tex]\frac{965}{90}[/tex]
x = 10.72
Therefore, we can participate in 10 triathlons.
what is a valid prediction about the continuos function
Answer:
EX: f(x) ≥ 0 over the interval [-1, 1].
Final answer:
A valid prediction about a continuous function is that it will have no breaks, jumps, or holes, and will exhibit the intermediate value property. If continuity is ensured, we can expect the function to pass through all intermediate values between any two points within a given interval.
Explanation:
A valid prediction about a continuous function is that the function will not have any breaks, jumps, or holes in its graph. This means that for any value within the domain of the function, we can find a corresponding value in the range, making the function predictable and reliable to analyze. A continuous function has the intermediate value property, which tells us that if the function takes on two values, it must take on every value in between at least once. As such, if we know the function is continuous on an interval, we can predict that it will pass through all the intermediate values between any two points in that interval.
An important concept to consider is the change that would invalidate the continuity of such a function. To illustrate, think about what would happen if our continuous function were to suddenly have a point removed or to have a sudden vertical asymptote introduced. This would create a discontinuity. So, when predicting behaviors of continuous functions, we must ensure there are no such changes or 'breaks' occurring within the interval we are considering.
Which angles are acute?
An acute angle is any angle smaller than 90 degrees. A right angle is an angle that measures 90 degrees.
Solve the proportion 5/3c=1/6
Answer:C= 10
Step-by-step explanation:
1.cross multiply and you get 3c=30
2.divide both sides by 3 and you get c=10
Answer:
[tex]c=\frac{1}{10}[/tex]
Step-by-step explanation:
So the trick is to make the number before c = 1.
How do we do that?
We multiply the fraction by it's reciprocal, which is 3/5.
However, we also have to do the same thing to the other side of the equation.
Answering the problem will look like this:
[tex]\frac{5}{3} c=\frac{1}{6}\\\frac{3}{5}*\frac{5}{3}c=\frac{1}{6}*\frac{3}{5}\\\frac{3*5}{5*3}c=\frac{1*3}{6*5}\\\frac{15}{15}c=\frac{3}{30}\\c=\frac{1}{10}[/tex]
So [tex]\frac{1}{10}[/tex] is our answer!
3,486 ÷ 2=n
use long divison to solve for the n
Help please will give brainliest
Answer:2y(3) +6 +5x(3)
(The numbers in parentheses mean they’re an exponent)
Step-by-step explanation:
Adding like terms means to simply combine terms with the same variable and/or exponent
Since there are three numbers with the same variable (y) they are combined. Since there are three numbers without an exponent/ variable,(the 3 twos) they are combined. There is no other term that can be combined with 5x(3), so you just leave it as is.
What is 14/18 in simplist form
How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 80% solution?
x = liters of 20% solution
Mixing the 20% solution with the 60 L of 90% solution gives a new mixture with volume (x + 60) L. Each L of the 20% solution contributes 0.2 L of alcohol and thus a total of 0.2x L of alcohol, while the 60 L of 90% solution contributes 54 L of alcohol.
We want the concentration of the new mixture to be 80%, so we require
[tex]\dfrac{0.2x+54}{x+60}=0.8[/tex]
Solve for x:
[tex]0.2x+54=0.8x+42[/tex]
[tex]12=0.4x[/tex]
[tex]\implies\boxed{x=30}[/tex]
So you will need 30 L of the 20% solution.
To get a 80% solution, you would need to mix a certain number of liters of a 20% alcohol solution with 60 liters of a 90% solution.
Explanation:To solve this problem, we can use the concept of mixture problems. Let's denote the unknown quantity of the 20% alcohol solution as 'x'. We know that the total volume of the mixture will be the sum of the volumes of the two solutions, so:
x + 60 = x + 60
Next, we can express the amount of alcohol in the original 90% solution and the resulting 80% solution:
0.90(60) + 0.20(x) = 0.80(x + 60)
Simplifying this equation will give us the value of 'x', which represents the number of liters of the 20% alcohol solution that must be added to the 60 liters of the 90% solution.
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A product costs $60 today. How much will the product cost in t days if the price is reduced by $4 a day
Answer:
[tex]C=60-4t[/tex]
Step-by-step explanation:
A product costs $60 today.
The price is reduced by $4 a day, so
a product will cost $60 - $4 = $56 tomorrow;a product will cost $56 - $4 = $52 after 2 days;a product will cost $52 - $4 = $48 after 3 days;and so onThe genaral formula for the price of the product after t days will be
[tex]C=60-4t[/tex]
+
Simplify the following expression. Assume that each variable is positive.
[tex] \sqrt[3]{88 {x}^{11} {y}^{15} \div 64 {x}^{4} {y}^{6} } [/tex]
Irrational number between 2 and 3
Answer:
2.084...
Step-by-step explanation:
Just write an non repeating string of any numbers that you think of but not in a pattern which will lie between decimal value of your 2 numbers
Irrational numbers between 2 and 3 include √2, which is approximately 1.414.
Irrational numbers are numbers that cannot be expressed as a ratio of integers. An example of an irrational number between 2 and 3 is √2, which is approximately 1.414. It is not possible to represent √2 as a fraction of two integers.
A delivery truck travels 278 miles each day.How far does it go in 25 days
Answer:
6950
Step-by-step explanation: multiply 278 times 25
What is 7.8×10^5 hours in days?
Answer:
32500 Days
Step-by-step explanation:
[tex]7.8[/tex] × [tex]10^{5}[/tex] = [tex]780000[/tex]
We know that there are 24 hours in a day.
⇒24 Hours = 1 Day
therefore [tex]780000[/tex] hours = [tex]\frac{780000}{24} = 32500[/tex] Days
A camera priced at $220 is marked down 30%. Find the price of the camera after the markdown.
The price of the camera after the markdown is $___
Answer:
154
Step-by-step explanation:
220-(220*30%)=154
Use this on google next time so you do not waste points on brainly
3x = 15 - 2х
Help me
Answer:
Step-by-step explanation:
you have to move the x’s to one side. so the equation would look like
5x = 15
then you have to divide both side of the equation by 5 to get the x by itself which leaves you with
x = 3
Answer is provided in the image attached.
Please give maths division sums of algebraic expressions class 8
HARD ONES MAXIMUM 10
Answer:
Simplify the following algebraic expressions.
A) -2x + 5 + 10x - 9
B) 3(x + 7) + 2(-x + 4) + 5x
Simplify the expressions.
A) (2x - 6) / 2
B) (-x - 2) / (x + 2)
C) (5x - 5)/10
Solve for x the following equations.
A) -x = 6
B) 2x - 8 = -x + 4
C) 2x + 1/2 = 2/3
D) x/3 + 2 = 5
E) -5/x = 2
Convert to decimals.
A) 1/5
B) 120%
C) 0.2%
D) 4 8/5
Convert to percent.
A) 3/10
B) 1.4
C) 123.45
D) 2 4/5
Which of these numbers is divisible by 3?
A) 156312
B) 176314
Which of these numbers is divisible by 4?
A) 3432
B) 1257
Which of these numbers is divisible by 6?
A) 1233
B) 3432
Which of these numbers is divisible by 9?
A) 2538
B) 1451
Evaluate 8x + 7 given that x - 3 = 10.
Jorge's cell phone plan costs $20.00 each month plus $0.15 per minute. If his bill for the month is
58420, how many minutes did Jorge use? (Round to the nearest whole number).
10
64
428
561
Answer:
Step-by-step explanation:
20 + .15x = 35 + .10x
.05x = 15
x = 300 minutes
how much does 4 5/7 kg of candy cost if 5/6 kg costs $7.50
To find the cost of 4 5/7 kg of candy, we divide the cost of 5/6 kg by 5/6 to find the cost of 1 kg. Then, we multiply the cost of 1 kg by 4 5/7 to find the total cost.
Explanation:To find the cost of 4 5/7 kg of candy, we need to find the cost of 1 kg of candy and then multiply it by 4 5/7. Given that 5/6 kg of candy costs $7.50, we can find the cost of 1 kg by dividing $7.50 by 5/6. So, the cost of 1 kg of candy is $9.00. To find the cost of 4 5/7 kg, we multiply $9.00 by 4 5/7.
To multiply a whole number and a fraction, we first convert the whole number to a fraction by placing it over 1. So, 4 can be written as 4/1. Then, we multiply the numerators (4 x 7 + 5) and the denominators (1 x 7). This gives us 33/7. Finally, we multiply $9.00 by 33/7 to find the cost of 4 5/7 kg of candy.
The cost of 4 5/7 kg of candy is $38.57.
solve for b. ab + c = d
Answer:
I guess it is b= d divided by a - c
Answer:
Step-by-step explanation:
ab+c=d
ab=d-c
b(a)=d-c
b=d-c/a
- 2(x + 3) + 2(x + 4) = 24
Answer: no solution
Step-by-step explanation:
First lets simplify
-2(x+3) + 2(x+4) = 24
-2x - 6 + 2x + 8 = 24
We can simplify this further by combining like terms
2=24 is the equation we get after combining like terms.
Since 2 is not equal to 24, the answer is no solution.
Answer:
NO SOLUTIONStep-by-step explanation:
[tex]-2(x+3)+2(x+4)=24\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(x)+(-2)(3)+(2)(x)+(2)(4)=24\\\\-2x-6+2x+8=24\qquad\text{combine like terms}\\\\(-2x+2x)+(-6+8)=24\\\\0+2=24\\\\2=24\qquad\bold{FALSE}\\\\\text{Conclusion:}\\\\\bold{NO\ SOLUTION}[/tex]
What is 5/6+2 3/4 PLS HELP ASAP
Answer:
Exact form: 43/12
Mixed number form: 3 7/12
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
A bathtub empties at 15 gallons per minute. What is this in liters per second?
Answer:
Step-by-step explanation:
approximately 0.94625 liters per second
Answer:
Step-by-step explanation:
2/3x - 1/6 = 1/2x + 3/6
Answer:
x=6
Step-by-step explanation:
Step-by-step explanation:
1.Find a common denominator shared by all the terms (6 or multiply each term by 6/1) and multiply each term by the lcd.
4x-1=3x+3
2.Then solve
4x-1=3x+3
4x=3x+4
7x=4
x=4/7
Two hoses are used to fill a swimming pool. Together they fill the pool at a rate of 3 gallons every 5
seconds. An equation representing this is g = 1, where is the time in seconds and g is the number of
gallons. About how many hours will it take to fill the pool if it holds 80,000 gallons?
A.4
B.7
C. 13
D. 37
Help ASAP !
Answer:13
Step-by-step explanation:
There are hours 2 will it take to fill the pool if it holds 80,000 gallons.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Two hoses are used to fill a swimming pool.
And, Together they fill the pool at a rate of 3 gallons every 5 seconds.
Hence, Time for to fill 80,000 gallons are,
⇒ Time = 80,000 × 3 / 5
⇒ Time = 16,000 × 3
⇒ Time = 48,000 seconds
⇒ Time = 48,000 / 36,000 hours
⇒ Time = 1.33 hours
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