The first step to solve this problem is to compute for the area of the rectangular backyard. The formula in computing the area of a rectangle is:
A = LW
Substituting the given measurement to the formula:
A = 31 (24)
A = 744 square feet
The area of the backyard is 744 square feet.
Since each pack of seed covers 12 square feet, you need to divide this to the total area of the backyard.
Therefore, you need 62 (744 / 12) packs of seed to cover the backyard.
Trey will need 62 packs of seed to cover his backyard.
Explanation:To find the number of packs of seed Trey will need to cover his backyard, we need to calculate the total area of the backyard and then divide it by the area covered by each pack of seed.
The formula to find the area of a rectangle is length x width. For Trey's backyard, the length is 31 feet and the width is 24 feet, so the area is 31 x 24 = 744 square feet.
Each pack of seed covers 12 square feet, so we divide the total area of the backyard by the area covered by each pack of seed: 744 / 12 = 62 packs of seed.
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Plzzz help will give the brainliest for correct answer
What is the value of x?
Sue can sew a precut dress in 3 hours. helen can sew the same dress in 2 hours. if they work together, how long will it take them to complete sewing that dress? round to one decimal place.
Final answer:
Sue and Helen can sew a dress in 1.2 hours when working together.
Explanation:
Calculating Time to Sew a Dress Together
Sue and Helen are working together to sew a dress and we need to calculate the total time it will take them to complete the sewing when working simultaneously. Sue can sew a precut dress in 3 hours, which means Sue's rate is 1 dress per 3 hours, or
1/3 dress per hour. Helen can sew the same dress in 2 hours, which means Helen's rate is 1 dress per 2 hours, or
1/2 dress per hour. Working together, their combined rate is the sum of their individual rates:
Total rate = 1/3 + 1/2
This results in a combined rate of 5/6 dresses per hour when we find a common denominator and add the fractions. To find the time it takes them to sew one dress together, we take the reciprocal of their combined rate:
Time = 1 / (5/6) hours
This simplifies to 6/5 hours.
Therefore, Sue and Helen will take 1.2 hours to complete the dress when working together.
Read the following statement.
At least one angle is acute.
What is the first step of indirectly proving this statement?
Assume none of the angles are acute.
Assume at least one angle is obtuse.
Assume at least one angle is not acute.
Assume none of the angles are obtuse.
Answer:
Assume at least one angle is not acute.
Step-by-step explanation:
With an indirect proof, instead of proving that something must be true, you prove it indirectly by showing that it cannot be false.
An indirect prove starts assuming that the statement is false and then your goal is to arrive at a contradiction. Then, in this case, the first step of indirectly proving at least one angle is acute is assume at least one angle is not acute.
Find the complement of an angle whose measure is 74 degrees. Show all work.
Answer:
16⁰
Step-by-step explanation:
Angle = 74⁰
Complement = 90 - 74 = 16⁰
Bill had saved $825 from his last 8 paychecks. He saved either 75$ or 150$ a paycheck.for the 8 paychecks,how many times did bill save $75 from his paycheck
Let us assume the number of times Bill saved $75 from his paycheck = x
Let us assume he number of times Bill saved $150 from his paycheck = y
Since he saved 75$ or 150$ for the 8 paychecks.
So, x+y=8
y=8-x (Equation 1)
Since Bill saved $825 from his last 8 paychecks using $75 or $150.
So, 75x+150y=825 (Equation 2)
Substituting the value of 'y' from equation 1 in equation 2,
[tex] 75x+150(8-x)=825 [/tex]
[tex] 75x+1200-150x=825 [/tex]
[tex] 75x-150x=825-1200 [/tex]
[tex] -75x=-375 [/tex]
x = 5
Therefore, Bill saved $75, 5 times from his paycheck.
Answer:
5
Step-by-step explanation:
The first term in a geometric sequence is 1/9 and the common ratio is −3. Find the 7th term in the sequence.
The 7th term of the sequence is 81
The nth term of a geometric sequence is expressed as:
[tex]T_n=ar^{n-1}[/tex]
a is the first term = 1/9r is the common ratio = -3n is the number of terms = 7Substitute the given parameters into the formula to have:
[tex]T_7=1/9(-3)^{7-1}\\T_7=1/9(-3)^6\\T_7=1/9(729)\\T_7=81[/tex]
Hence the 7th term of the sequence is 81
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HELP ASAP PLZ
what values of a, b, and c would you use in the quadratic formula for the following equation? 5x^2+9x=4
1. a=-4,b=9,c=5
2.a=5,b=9,c=-4
3.a=5,b=-4,c=9
4.a=5,b=9,c=4
The standard form is given by :
[tex] ax^{2} +bx +c=0 [/tex]
So we have to convert given equation in this form by bringing all terms to one side and making 0 on the other side.
[tex] 5x^{2} +9x=4 [/tex]
Now we have to bring 4 to the left side,
subtracting 4 on the left,
[tex] 5x^{2} +9x-4=0 [/tex]
Comparing our equation with standard form,
Answer : a=5, b=9 and c=-4 ( second option is right )
PLEASE HELP FAST!!!!
As a pendulum swings , the angle (theta) that it makes with the vertical changes through its swing. The force of gravity pulling on the bob is given by F=mg sin (theta), where g is equal to 9.8m/s^2. If the mass of the pendulum is 0.01 kg, what is the force pulling on the pendulum when it makes a 22.5 degree angle with the vertical?
Answer:
Answer B
Step-by-step explanation:
The already given answer is correct, but if you need to know what answer it is without getting your calculator out, its B, or
0.049 (square)2 -(square) 2 N
0.049√2-√2 N
2. Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the rest with a 4-year auto loan at 2.6% APR.
Answer:
$261.08
Step-by-step explanation:
Worth of Car=$14,390
Trade-in allowance=$1000
Down Payment= $1500
Value of Loan=14390-(1000+1500)
=$11890
The Monthly Payment for a loan P, taken at a Monthly interest rate, r for a number of m months, is gotten using the formula:
[TeX] Monthly\:Payment=\frac{rP}{1-(1+r)^{-m}} [/TeX]
P=$11890
Monthly Interest Rate,r=0.026/12=0.002167
Number of Months, m=4*12=48 Months
[TeX] Monthly\:Payment=\frac{0.002167*11890}{1-(1+0.002167)^{-48}} [/TeX]
=$261.08
The Monthly Payment on the car loan is $261.08.
What is the period of the sinusoid given by y=-3cos(2pi/5 x)?
A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high.
Approximately how much salsa did Kelly eat?
Round your final answer to the nearest whole number.
188 cm³
565 cm³
679 cm³
1244 cm³
Before we begin please note that a jar is always cylindrical in shape if not mentioned otherwise. Thus, we will take a cylindrical jar in this case.
Since Kelly eats some of the salsa and the salsa in the jar is now 6 cm high, we know that Kelly ate the amount of Salsa whose volume is missing from the jar.
To find the missing volume on the Salsa jar all that we need to do is to find the height of the missing volume which is given to us as h= 6 cm. We already know that the radius of the jar, r=6 cm. Thus, the amount of Salsa Kelly has eaten is:
[tex] V=\pi(6)^2\times 6\approx678.6\approx679 [/tex] [tex] cm^3 [/tex]
Thus, the third option is the correct answer
Solve for j
j/-2 + 7 =-12
The required value of j is 38.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now the given expression is
j/-2 + 7 =-12
Substracting 7 both the side. We get,
j/-2 + 7 -7 = -12 - 7
Solving both sides,
j/-2 = -19
Now multiplying whole equation with -2,so the equation becomes
j = 38
which is the required value of j.
Hence,the required value of j is 38.
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find the simplified form of (-7.4)^0?
A.-1
B.-7.4
C.0
D.1
Final answer:
Any non-zero number raised to the power of 0 is 1, so the simplified form of (-7.4)⁰ is 1 that is option D is correct.
Explanation:
The simplified form of (-7.4)⁰ is determined by one of the fundamental rules of exponents, which states that any non-zero number raised to the power of 0 is 1. This means that regardless of what the base number is, as long as it is not zero, if the exponent is 0, the result will always be 1. It is important to note that 0^0 is an indeterminate form and is not covered by this rule. Therefore, the simplified form of (-7.4)⁰ is:
D. 1
Please help asap! Match the graph with the correct equation.
The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of the area when r = 5 inches and r = 21 inches. (a) r = 5 inches
Final answer:
The rate of change of the area of a circle with a radius increasing at a constant rate can be calculated using the derivative of the area formula. For r = 5 inches, the rate is 30π square inches per minute and for r = 21 inches, the rate is 126π square inches per minute.
Explanation:
The student is asking about the rate of change of the area of a circle when its radius is increasing at a constant rate. This is a calculus problem that involves derivatives and can be solved using the formula for the area of a circle, A = πr² where A is the area and r is the radius. The rate of change of the radius, ℓr/ℓt, is given as 3 inches per minute.
To find the rate of change of the area, denoted as ℓA/ℓt, we take the derivative of A with respect to t, using the chain rule, which gives us ℓA/ℓt = 2πr(ℓr/ℓt). When r = 5 inches, substituting the values, we obtain ℓA/ℓt = 2π(5)(3) = 30π square inches per minute. Similarly, when r = 21 inches, ℓA/ℓt = 2π(21)(3) = 126π square inches per minute.
A car travels at an average speed of 40 miles per hour for the first 100 miles of a 200-mile trip, and at an average speed of 50 miles per hour for the final 100 miles. what is the car's average speed for the entire 200-mile trip?
A trapezoid has bases that measure 10 centimeters and 14 centimeters and a height that measures 8 centimeters. What is the area?
lemon squash 2 parts concentrate to 5 parts of water. if you put 90ml of concentrate in a glass, how much water should be added?
It is given in the question that in the lemon squash 2 parts concentrate is added to 5 parts of water. Thus it makes the concentrate to water ratio as 2:5 or [tex] \frac{2}{5} [/tex]. Now, if this ratio is maintained then the amount of water to be added to 90 ml concentrate in a glass can be calculated as:
[tex] \frac{2}{5}=\frac{90}{x} [/tex]
Where x is the amount of water to be added, in ml (milliliters).
Cross multiplication of the above equation will give us:
[tex] 2x=90\times 5=450 [/tex]
Dividing both sides by 2 we will get:
[tex] x=\frac{450}{2}=225 [/tex]
Thus, if we put 90ml of concentrate in a glass, the water that should be added must be 225 ml.
The amount of water should be added is 225 ml if the lemon squash is 2 parts concentrated to 5 parts of water. if you put 90ml of concentrate in a glass
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign: between the numbers.
We have:
Lemon squash 2 parts concentrate to 5 parts of water.
Let's suppose the amount of water is x ml
Then according to the problems the ratios:
[tex]\frac{2}{5} =\frac{90}{x}[/tex]
2x = 90×5
2x = 450
x = 225 ml
Thus, the amount of water should be added is 225 ml if the lemon squash is 2 parts concentrated to 5 parts of water. if you put 90ml of concentrate in a glass
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What is the y intercept of the line given by the equation y= 8x + 75
Answer: (0,8)
Step-by-step explanation:
here you go
What is the value of x?
please help i have 2 questions thank you
the fortaleza telescope in brazil is a radio telescope. its shape can approximated with the equation y=0.013x2 is the relationship between x and y linear? is it proportional? explain
we have that
the given equation is
[tex]y=0.013x^{2}[/tex]
we know that
The general linear equation is equal to
[tex]y=mx+b[/tex]
where
m and b are real numbers
Every equation in this form is a linear equation. The linear equations represent linear functions. Equations than cannot be written in this form are not linear equations, and therefore are not linear functions
The given equation is not a line, is a quadratic equation, therefore is not a linear equation, is a non linear function.
Only a linear relationship can be proportional,
so
the relationship is not proportional
therefore
the answer is
the relationship between x and y is a non linear function and is not proportional
mittens are marked down 25% the sale price is 3.15 a pair what was the original price of a pair of mittens
Find the length of the hypotenuse of a right triangle to the nearest tenth of a foot if the lengths of the legs are 13 and 15 feet.
Mr. Foley wants to randomly select 3 students for a committee. He used 3 coins to conduct a simulation to predict the probability that the committee will have at least 2 girls. The results of 16 trials of the simulation are shown below. Let H represent a girl and T represent a boy.
TTH HTH THH HHH
HTT THT THT HHT
HHT THH TTT HTT
HHH HTH TTH HHT
Based on the results of the simulation, what is the probability that the committee Mr. Foley selects will have at LEAST 2 girls?
Use the angle sum identity to find the exact value of cos 105
You can find the distance between two points on a number line by using the Pythagorean theorem.
Answer:
It is false
Twenty-four students took a test. Fourteen students earned an A and 10 students earned a
b.A student will be randomly chosen.What is the probability that the student earned an A on the last test? Enter your answer as a fraction , in simplest form , in the box .
Find the vertex of y = x2 + 14x − 40 by completing the square.