The length of the rectangular field is 164 yards and the width is 41 yards
From the question,
We are to determine the fields dimensions
From the given information
A rectangular field is four times as long as it is wide
That is
l = 4w -------- (1)
The perimeter of a rectangle is given by
P = 2(l + w)
Where
P is the perimeter
l is the length
and w is the width
From the given information
The perimeter of the field is 410 yards
∴ 2(l + w) = 410 ------ (2)
Substitute equation (1) into equation (2)
2(4w + w) = 410
2(5w) = 410
10w = 410
∴ w = 410 ÷ 10
w = 41 yards
Substitute the value of w into equation (1)
l = 4(41)
l = 164 yards
Hence, the length of the rectangular field is 164 yards and the width is 41 yards.
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mike bought a 24 pack of mountain dew for $8.40. write and solve an equation to calculate how much each indivdual can soda cost
Answer:
$0.31
Step-by-step explanation:
You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!
simpllefie this ansewer 10c–7c
Answer:
3c
Step-by-step explanation:
10c - 7c = 3c
What is the value of the discriminant, b2
about the number of real solutions the equation has?
4ac, for the quadratic equation 0 x^2 - 4x + 5, and what does it mean
about the number of real solutions the equation has ?
The discriminant is -4 , so the 2 equation has 2 real solutions.
The discriminant is -4, so the equation has no real solutions.
The discriminant is 35, so the 2 equation has 2 real solutions
The discriminant is 35 , so the equation has no real solutions.
Answer: Choice B
Discriminant = -4; no real solutions
===========================================================
Explanation:
The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5
We see that
a = 1
b = -4
c = 5
The discriminant is
d = b^2 - 4ac
d = (-4)^2 - 4(1)(5)
d = 16 - 20
d = -4
The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]
Answer:
The discriminant is -4, so the equation has no real solutions.
Step-by-step explanation:
The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:
[tex]\Delta = b^2 -4ac[/tex]
So our variables are:
[tex]a = 1[/tex]
[tex]b = -4[/tex]
[tex]c = 5[/tex]
Replacing in the formula for find the discriminant we have:
[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]
Now if you remember the quadratic formula is the next
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).
If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.
[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]
How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:
[tex]\sqrt[2n]{-a} = \text{not found}[/tex]
For this we can assure that doesn't exist solutions in the real numbers, so the equation has no real solutions.
Using the formula find the slope of a line with these two points (2,10) and (5,15).
Answer:
1.66667
Step-by-step explanation:
using online slope calculater
4x−7y=48? i need the fraction
Answer: y = -48/7 + 4x/7
What is cuneiform?
A. a specific style of architecture
B. a method used to create pottery
C. writing system using wedge-shaped symbols
D. an artistic era filled with achievements in art
Answer: Pretty shure it's C
Step-by-step explanation:
c. writing system using wedge-shaped symbols
For a ride on a rental scooter, Rafael paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for Rafael's ride was $18.64. For how many minutes did Rafael ride the scooter?
Answer:
158 minutes
Step-by-step explanation:
If m represents the number of minutes Rafael rode, his total bill is ...
0.08m +6.00 = 18.64 . . . . cost to start plus cost based on time
0.08m = 12.64 . . . . . . . . . . subtract 6
m = 12.64/0.08 = 158 . . . . divide by 0.08
Rafael rode the scooter for 158 minutes.
what is the volume of the prism ?
Answer:
150 units squared
Step-by-step explanation:
If d varies directly as t and d=20.5 when t =12 find the value of constant
Answer:
12÷20.5= 0.5953658537
You spin the spinner once. What is P(factor of 90)?
Answer:
1
Step-by-step explanation:
d5 7yvjn3f5crc6tv6tvt7gv7g
Find the midpoint of the following
two coordinates:
(3, 1) and (5,5)
Hint: x1 + x2 Y1 + y2
2.
9
2.
A. (3, 4)
B. (2, 4)
C. (4,3)
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Answer:
C, just use the formula.
Step-by-step explanation:
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answer:
(x + 11) ÷ 9 = 67
or
[tex]\frac{(x + 11)}{9}[/tex] = 67
Step-by-step explanation:
Let x be the number
Could someone please help?
Answer:
snap for secsy pics
Step-by-step explanation:
cat.lover
Helpppppppppppppppppppp
The area of a rectangle is 60 square inches.
The length is x - 3, and the width is x +8.
Find the value of x, and the dimensions of the rectangle.
A = lw
How do you give Brainliest?
Answer:
You press a little crow looking thing on the bottom of the persons answer
Step-by-step explanation:
whats the answer to this numeric algebraic expression
Answer:
a+b+2
Step-by-step explanation:
Solve the given equation for x.
2x-B=10
25 points! I really need some help.
Answer:
c ≤ 4 1/3
Step-by-step explanation:
10.25 + 2.25c ≤ 20 solve the equation if there was an = in the equation
10.25 + 2.25c = 20
-10.25 = -10.25
2.25c = 9.75
c = 9.75 ÷2.25
c = 4.3333
[tex]c = 4\frac{1}{3}[/tex]
Now replace the ≤ into the equation:
c ≤ 4 1/3
help plss c:
a family wishes to determine the distance from their home to the nearest park. on a coordinate grid, the house sits at (0,0), and the park at (16,11)
using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
Answer:
components: {16,11}, distance: 194.16 yards
Step-by-step explanation:
to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)
16 and 11 are the distances from her house
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
but we dont stop here
we have to convert this to yards by multiplying it by ten
19.416 * 10 = 194.16 yards
Answer:
B
Step-by-step explanation:
Just did the test
I NEED HELP please help
Answer:
1. 2/5, 2. -1. 3. 5/2, 4. 1, 5. 1/5, 6. -4/3, 7. 1/3, 8. -1/10
Step-by-step explanation:
1-3: the formula for slope is (y2 - y1)/(x2 - x1) for points (x1, y1) and (x2, y2)
1. we have points (-2, -1) and (3,1) ,plug these into the formula to get (1-(-1))/(3-(-2)) = (1+1)/(3+2) = 2/5 so the slope is 2/5
2. we have points (-3, 2) and (2, -3): (-3-2)/(2-(-3)) = -5/5 = -1
3. (-1, -2) (1,3): (3-(-2))/(1-(-1)) = 5/2
4-6: you can use the same formula
4: (1,0) (3,2): (2-0)/(3-1) = 2/2 = 1
5. (8,0) ( 13, 1) (1-0)/(13-8) = 1/5
6. (2, -1) ( 5, -5) (-5+1)/(5-2) = -4/3
7-8: slope= rise/run
7. rise=8, run=24, 8/24=1/3
8. rise=-100, run=1000, slope= -100/1000 = -1/10
A number is 5 less than 2 times another number. Their sum is 25. What are the 2 numbers ?
Answer:
I don't understand the question but I think the answer is either 10 or 30
factorise first then solve these equations
1.
x^2+5x+4=0
2.
a^2+7a+12=0
solve the proportion (someone pls help)
x=6
Step-by-step explanation:
4/3=8/6
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[tex]\huge\underline\mathtt\colorbox{cyan}{As SIMPLE as that}[/tex]
translating the following mathematical expressions into phrases
[tex]x^{2}[/tex]-12
[tex]\frac{2x}{3} +1[/tex]
[tex]x^{3}-8[/tex]
Answer:
1) a number squared, reduced by 12
2) the quantity of twice a number divided by 3, increased by 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first expression reads "x squared less (or minus) 12."
The second expression becomes "the quotient 2x/3 plus one." Note that 2x/3 must be computed before "one" is added, due to order of operations rules.
The third expression reads "8 less than the cube of x."
A cell phone company charges a monthly fee plus $0.25 for each text message you send. The monthly fee is $30.00 . You owe $59.50. How many text messages did you send?
Answer:
Excluding the monthly fee of $30 dollars.
Step-by-step explanation:
$30-$59.50 = $29.50
multiply $0.25 by 118 and you'll get exactly $29.50
the answer is " I sent 118 Text messages "
Q4
The original price of a doll is $36. It is discounted in a sale by 15%.
What is the sale price of the doll?
$
Answer:
The sale price of the doll is $30.6
Step-by-step explanation:
The original price of the doll
= $36
Discount:-
= 15% of 36
= 15%×36
= 15/100×36
= 5.4
Sale price of the doll
= original price - discount
= $(36 - 5.4)
= $30.6
What is 28% of 63%? Round your answer to the nearest tenth
Answer: 17%
Step-by-step explanation:
1. First divide the percentages by 100 to turn the percentages into a decimal (28/100) x (63/100) = 0.1764
2. Then turn that decimal into a percentage again.
0.1764 x 100 = 17.64 but if you’re rounding to the nearest tenth without any decimals it’ll just be 17%
is this correct? if not what is the correct answer?
6 soaps comparing to the other 5 = 30 different comparisons:
30 x 2,000 = 60,000
Answer: H. $60,000
How can I find a rule in a math question
Answer:
Step-by-step explanation:
How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.