Answer:
The length of the field = 24.5 yards
The width of the field = 12 yards.
Step-by-step explanation:
If "w" is the width, then the length is 49 - 2w.
The area of the rectangle field = length × width
= w(49 - 2w)
Area =
This a quadratic equation, the vertex of x coordinate is w
w =
Here a = -2 and b = 49
w = .
So width of the field is 12.25 yards.
The length of the filed = 49 - 2(12.25) = 24.5
Area = 12.25 × 24.5 = 300.125 square yards.
The field has an area of 294.
Therefore, the length must be 24.5 yards and width must be 12 yards.
24.5 × 12 =294 square yards.
Therefore, the length of the field = 24.5 yards
the width of the field = 12 yards.
Construct the truth table for:
p → (q ∧ r)
The choices below represent the final column for the truth table. Identify the correct answer.
You should know that
p ⇒ q ≡ ¬p ∨ q
so that
p ⇒ (q ∧ r) ≡ ¬p ∨ (q ∧ r)
Then making the truth table is simple:
[tex]\begin{array}{cccccc} p & q & r & \neg p & q \land r & p \implies (q\land r) \\ T & T & T & F & T & T \\ T & T & F & F & F & F \\ T & F & T & F & F & F \\ T & F & F & F & F & F \\ F & T & T & T & T & T \\ F & T & F & T & F & T \\ F & F & T & T & F & T \\ F & F & F & T & F & T \end{array}[/tex]
Solve for X to the nearest tenth.
Answer:
x = 2•sqroot(5)
x ~= 4.47
Step-by-step explanation:
Draw a line to make the "top" part be a
4 × 3 rectangle. see image.
Then you will have a right triangle on the bottom. It has legs 2 and 4 units long. Use the Pythagorean theorem to solve for x. see image.
Answer:
4.5
Step-by-step explanation:
a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?
B.which integers are 10 units away from 5 on a number line?
C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Please answer thiss, thank you guys so much!!!!!!! :)
Answer:
a. -1
Subtracting 6-7 would give you -1. Negative 1 is 7 units from the number 6.
b. -5 and 15
Adding and subtracting 10 from 5 would give you -5 and 15.
c. -3
Starting at -7, and going to the right 4 means that Darcy moved +4. -7+4 would give you negative 3.
Answer:
[A] - 1
[B] - 5
[C] -3
Step-by-step explanation:
[A] The number 6 is 7 units away from 13 on a number line. Which other integer is 7 units away from 6 on a number line?
Solve:
6+7=13
6-7=-1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[B] which integers are 10 units away from 5 on a number line?
Solve:
5-10=-5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[C] Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Solve:
-7+4=-3
Negative + Positive =[ Negative]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
Mom paid me 15.00 i now have 47’.00 how much did I start with
Answer:
You started with 32.00
Step-by-step explanation:
47 minus 15 is 32
x=50 x=52 x=46 x=48 fast pls only 20 min
Answer:
X=48
Step-by-step explanation:
100 = 2x+4
100-4 = 2x
96 = 2x
96/2 = x
x = 48
Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3,600, how many seats were allotted for general admission?
Answer:
# of reserved seats = R; # of general admission seats = G
G - R = 85
$18R + $9G =$3600
Multiply 1st equation by 18: 18G - 18R = 1530
Rearrange 2nd equation: $9G + $18R =$3600
Combine the equations: 27 G = 5130
G = 190
R = 105
Step-by-step explanation:
I WILL GIVE BRAINLIEST Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$120
B.$85
C.$70
Answer:
the answer is A
Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3
How far is it from the gift shop to the bank?
Bank is -3,-2
Answer:
-1 I apologize if I'm wrong
Answer:
-5 steps away
explanation:
Add the x and y axis and then count how many it resulted in.
I'm not sure where the gift shop was, but since that wasn't included I had to assume it was at (0, 0). Let me know so I can change this if I need to. Thank you.
For what values of a are the following expressions true?
|a-5|=5-a
Answer:
this expression is true for all values of a.
Step-by-step explanation:
So if the expression is:
a - 5 = 5 - a
For this reason:
2a = 10
a = 5
a - 5 = -5 + a
0 = 0
6. Find the value of each missing variable.
Answer:
x = 110
y = 102
z = 82
Step-by-step explanation:
Angles that create a line are equal to 180
x + 70 = 180
x = 110
y + 78 = 180
y = 102
A quadrilateral's angles add up to 360
110 + 78 + 90 + z = 360
278 + z = 360
z = 82
zack and grace share a sum of money in the ratio 9:11 what percentage of the money does zack receive
Answer:
Percentage of Money Zack receives =
[tex]\bold{\frac{the \:share \:he\: gets \:in\: ratio \:form}{Total \:share \:in\: ratio \:form} \times 100}\\[/tex]
[tex] \bold{\frac{9}{11 + 9} \times 100} \\ \\\bold{ ⇢ \frac{9}{\cancel{20}} \times\cancel{ 100} }\\ \\ \bold\blue{ ⇢ 45\%}[/tex]
hope helpful~
Please help! My friend is doing missing assignments <3
Answer:
4 1/4 in.
Step-by-step explanation:
Highest record: 24 ft. 6 3/4 in.
John's best long jump: 24 ft. 2 1/2 in.
convert 1/2 to have denominator of 4...
1/2 x 2/2=2/4
subtract from highest record...
3/4-2/4=1/4
add to whole numbers...
6-2=4
4+1/4= 4 1/4
80 points. Please answer!
Answer:
a cube that is 1 yard long, 1 yard wide, and 1 yard high
Step-by-step explanation:
The dimensions for a unit cube are:
[tex]1\times1\times1[/tex]
Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent).
Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.
Answer:
I guess 4, because it has only 1 unit in it, and not 9 inches^3.
Step-by-step explanation:
Hope this helps.
URGENT!!!!!!!!!!!!!!!!!!!!
Answer:
aₙ = a₁ * 2ⁿ⁺¹
Step-by-step explanation:
a₁ = 6
a₂ = 12
a₃ = 24
Note a₂/a₁ = 2 = a₃/a₂
So it is a geometric sequence with common ratio of 2
a₂ = a₁ * 2 = a₁ * 2¹ = a₁ * 2²⁺¹
a₃ = a₂ * 2 = a₁ * 2 * 2 = a₁ * 2² = a₁ * 2³⁺¹
Then
aₙ = a₁ * 2ⁿ⁺¹
you record the number of sunny days out of a sample of 90 randomly selected days in city a and city b. in city a's sample there were 54 sunny days. in city b sample there were 63 sunny days.
Is City B significantly sunnier than City A? use a significance level of 0.05
The significance level shows that z approximately equals 1.41 for a p-value of 0.078642.
How to calculate the p-value?Based on the complete question, the sample proportion for city A will be:
= 54/90 = 0.60
The sample proportion for city B will be:
= 63/90 = 0.70
Using the table given, it can be deduced that the test statistic value will be 1.41. Therefore, the p-value will be 0.078652 in the Excel function.
Since the p-value is greater than 0.05, then we fail to reject the null hypothesis that there is no difference in the commute time.
Learn more about significance level on:
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what is 23/100 plus 7/10
Answer:
93/100
Step-by-step explanation:
You have to make the denominator the same so
7x10=70 and 10x10=100. Then you add 23+70 which is 93 so the answer is 93/100
Find the equations of the circle which is tangent to both axes and their center lies on the line 2x+3y=10
Answer:
(x - 2)² + (y - 2)² = 4
Step-by-step explanation:
The circle is tangent to both axes, so the radius = x = y
Center is on 2x + 3y = 0, so 2x + 3x = 1-
x = 2 = y
center: (2, 2)
radius = 2
equation: (x - 2)² + (y - 2)² = 2²
(x - 2)² + (y - 2)² = 4
At the beginning of the road, a tank truck was traveling full of water in water tank, but it began to leak.You can assume that the fuel consumption of the truck is directly proportional to the weight it carries, and that the water flow(in the leakage) and the speed of the truck are constant for the whole journey. After traveling for miles, the truck leaked half of the water from the water tank and consumed half of fuel tank.
If the water tank was empty the truck would have spent a sixth of the fuel tank, if it travelled the same distance and under the same conditions as above.
Disregarding the fuel tank weight, what fraction of the fuel tank would be spent if there was no leak?
[tex]\frac{1}{2}[/tex] of the water takes [tex]\frac{1}{2}[/tex] of the fuel and empty tank takes [tex]\frac{1}{6}[/tex] of the fuel, the
fraction that would will be spent if there was no leak is [tex]\underline{\dfrac{11}{18}}[/tex] of the fuel
How can the fraction of the fuel spent be found?
The given parameters are;
The volume of oil consumed = [tex]\mathbf{\dfrac{1}{2}}[/tex] of the fuel tank
Volume consumed if the water tank was empty = [tex]\dfrac{1}{6}[/tex] of the fuel tank
Let w represent the weight of the water that fills the tank.
Therefore;
[tex]The \ average \ weight \ carried \ by \ oil = \dfrac{w + \dfrac{w}{2} }{2} = \mathbf{\dfrac{3 \cdot w}{4}}[/tex]
The amount of fuel consumed by the water that leaked = [tex]\dfrac{1}{2} - \dfrac{1}{6} = \dfrac{1}{3}[/tex]
Let x represent the amount of oil used to carry only the water if there
was no leak, therefore;
[tex]\mathbf{\dfrac{\frac{3 \cdot w}{4} }{w} }= \dfrac{\frac{1}{3} }{x}[/tex]
Which gives;
[tex]\mathbf{\dfrac{3 \cdot w}{4} \times x}} = \dfrac{1}{3} \times w }[/tex]
[tex]x = \dfrac{4}{3 \times 3} = \dfrac{4}{9}[/tex]
The total amount of fuel that will be consumed without leakage is
therefore;
[tex]Total \ amount \ of \ fuel = \dfrac{4}{9} + \dfrac{1}{6} = \mathbf{ \dfrac{11}{18}}[/tex]
The amount of oil consumed if there was no leakage is therefore;
[tex]\underline{\dfrac{11}{18} \ of \ the \ fuel \ tank}[/tex]Learn more about averages here;
https://brainly.com/question/24398353
Find the value of x. show work
Step-by-step explanation:
it's a right triangle
Pythagorean theorem
the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
x² = 9² - 2²
x² = 81 - 4
x² = 77
x = √77
or
x = 8.77
---------------------
A research finds that 50% of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in the area and asks them whether they take the train to work. What is the number of trials for this but binormal experiment?
Answer:
Good morning! Number of trials are 250.
Step-by-step explanation:
A researcher finds 50% of all commuters in a metropolitan area take the train to work.
The researcher polls 250 people in the area to ask them whether they take the train to work or not.
We have tell the number of trials for this binomial experiment.
Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.
_AnnieTheDreamGirl, 3/8/2022
PLEASE HELP!!
Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.
Enter the answer as an equation.
Answer:
The axis of symmetry of this parabola will be the line x=−b2a .
Step-by-step explanation:
Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Answer:
2
Step-by-step explanation:
Marie has $60,000 in a savings account that earns 7% interest per year. How much will she have in 4 months?
Answer:
21,400
Solving steps:
Since, Marie has $60,000 in a savings account that earns 7% interest per year.
Find: How much will she have in 4 months.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: solution[/tex]
Step 1: Find the money for the 7% rate
=> [tex] 60000 \times \frac{7}{100} [/tex]
=> [tex] \frac{60000}{1} \times \frac{7}{100} [/tex]
cancel the two zeros of 60,000 and 100
=> 600 × 7
=> 4,200
Add 4,200 to 60,000
=> 64,200
per year = 64,200
Now, divide 64,200 by 12
since 12 months to make one year
=> 64,200 ÷ 12
=> 5,350
now multiply it by 4 months she gets 5350 per month
=> 21,400
The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x – 10)
What is the value of x?
Answer:
28
Step-by-step explanation:
2*28 = 56
3*28 = 84 -10 = 74
74+56+50 = 180
180 degrees in a triangle
A homeowner needs to construct a ramp to their front door. How long should the ramp be if the door is 4ft above the ground and the angle of elevation is 20°?
Step-by-step explanation:
we want to find the hypotenuse
soh cah toa
he have hypotenuse and opposite
soh
sin 20 = H/4
can u do the rest and put answer in comments please mark brainest
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 13 HCF is $46.33, what is the monthly cost for 17 HCF?
The monthly cost for 17 hundred of cubic feet is $52.13.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the bill paid for x HCF of water.
The slope is 1.45, hence m = 1.45.
The monthly cost for 13 HCF is $46.33, hence:
46.33 = 1.45(13) + b
b = 27.48
y = 1.45x + 27.48
For 17 HCF:
y = 1.45(17) + 27.48 = 52.13
The monthly cost for 17 hundred of cubic feet is $52.13.
Find out more on linear equation at: https://brainly.com/question/14323743
Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books aresimilar in weight, about how much does each book weigh?
Answer:
this is just division
6/4=1/2
each book weighs 1/2
Hope This Helps!!!
Answer:
the answer is 1.5 pounds
Step-by-step explanation:
just took the the test
Order the steps to factor the quadratic trinomial completely.
Answer:
1, 4, 3, 5, 6
Step-by-step explanation:
5(5x² - 9x) = 45x + 40 ← distribute parenthesis on left side
25x² - 45x = 45x + 40 ← subtract 45x + 40 from both sides
25x² - 90x - 40 = 0 ← factor out 5 from each term
5(5x² - 18x - 8) = 0
5(x(5x + 2) - 4(5x + 2))
5(x - 4)(5x + 2)
Answer:
The order is: 1, 4, 3, 5, 6
Step-by-step explanation:
5(5x² - 9x) = 45x + 40
25x² - 45x = 45x + 40
25x² - 90x - 40 = 0
5(5x² - 18x - 8) = 0
5(x(5x + 2) - 4(5x + 2)
5(x - 4)(5x + 2)
The order is: 1, 4, 3, 5, 6
What is the solution to the equation below? In x= -4
A. X=0.31
B. X=0.02
C. X=-54.60
D. X=-1.39
Answer:
B. X=0.02
Step-by-step explanation:
The solution to the natural log equation is found by taking antilogs.
ln(x) = -4 . . . . . . . given equation
x = e^-4 . . . . . . . take antilogs
x ≈ 0.0183156
x ≈ 0.02 . . . . rounded to 2 decimal places
_____
Additional comment
Essentially, we use each side of the equation as a power of e.
e^ln(x) = e^(-4)
x = e^-4 . . . . . . . simplified
Choices C and D can be eliminated by the fact that ln(x) for x < 0 is undefined. x cannot be negative.
Mary and Vincent climbed up a rock wall at the park, Mary climbed 3/4 the way up the wall, Vincent climbed 3/8 of the way up the wall, who climbed higher, how will i use this information?
Answer:
Mary climbed higher
Step-by-step explanation:
think of it like this a wall is four feet and you climb 3 feet up. You are closer to the top than if you climbed 3 feet up a 8 wall.
Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is necessary to first drive to building C and then to Building B. А 500 m b 60° B C a Find the distance from Building A to Building C. Round to the nearest whole number O 577 m O 447 m O 433 m O 250 m
The distance from building A to building C is 433m
Right angle triangle:A right angle triangle has one of its angle as 90 degrees. The sides can be found using trigonometric ratios.Therefore,
sin 60° = opposite / hypotenuse
sin 60° = b / 500
cross multiply
b = 500 sin 60°
b = 500 × 0.86602540378
b = 433.0127
b = 433 meters
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