Answer:
$6.84Step-by-step explanation:
[tex]45.60 \times 15\% \\ 45.60 \times \frac{15}{100} \\ \frac{684}{100} \\ 6.84[/tex]
A tractor can plant a field at a rate of 2.5 acres per 5 minutes. If a mammoth farm measuring 4 square miles needs planting, how long will it take in hours to plant the field? There are 640 acres in a square mile. Determine your answer to the nearest hour. If the tractor can run 8 hours a day, what is the minimum number of days it will take to plant the farm?
The time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.
The minimum number of days taken by the tractor when working 8 hours a day is 11 days.
What is the area?The area is the total surface occupied within the boundary of the figure.
How to solve the question?In the question, we are given that a tractor can plant a field at a rate of 2.5 acres per 5 minutes.
We are asked the time taken by the tractor to plant a field having an area of 4 square miles.
First, we convert the area of the field from sq. miles to acres using the conversion rate, 1 square mile = 640 acres,
Thus, the area of the field = 4 sq. miles = 4*640 acres = 2560 acres.
Time taken to plant 2.5 acres is given to be 5 minutes.
Thus, the time taken to plan 1 acre = 5/2.5 = 2 minutes.
Thus, the time taken to plant the field having an area of 2560 acres = 2560*2 minutes = 5120 minutes = 85.33 hours = 85 hours and 20 minutes.
Thus, the time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.
The time for which the tractor can run daily is 8 hours.
Thus, the number of days taken by the tractor to plant the field = 85.33/8 = 10.66625, or 11 days.
Thus, the minimum number of days taken by the tractor when working 8 hours a day is 11 days.
Learn more about unit conversions at
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What is the best estimate for the volume of a jug of milk?
Answer:
3.785 litres
Step-by-step explanation:
how did you get m in the equation
X over 25 equals 35 over 14 solve for the missing variable
Which of the following closet to a yard in length?
(a).0.1m
(b).0.01m
(c).1m
(d).100m
Could you answer my question ⁉️
Answer:
option. b
Step-by-step explanation:
.0.01m........
1. The table shows the number of pages a
student reads in various amounts of time.
2. The dou
rate at
Dollars
Time (h)
3
5
9
10
Pages
195
325
585
650
Hours
Tell whether the relationship is a proportional relationship. Ex
Answer:
Please post the chart
Step-by-step explanation:
PLZZ HELP ME WORTH 35 POINTS
Answer:
3.2
Step-by-step explanation:
8/100×40=3.2. This is how to find the sales tax.
Ariana bought 14 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.
Answer:
x = 14/p.
There can really be 2 answers that are both proportional and rational.
7 packages, 2 toys in each.
2 packages, 7 toys in each.
Help pls I don’t understand this shi
Answer:
It's kind-of blurry, can you copy-paste the questions?
Step-by-step explanation:
Solve the equations.
[tex]\sqrt{x^{2} } =14[/tex]
[tex]\sqrt{x^{2} } =17[/tex]
[tex]\sqrt{y^{2} } =5[/tex]
Answer:
[tex]x=\pm14\\x=\pm17\\y=\pm5[/tex]
Step-by-step explanation:
Generally, equations in the form [tex]\sqrt{x^2}=c[/tex] where [tex]c[/tex] is some constant, would have [tex]x=\pm c[/tex] as its solution.
This is because the square of a number is always positive regardless of the sign of [tex]x[/tex].
Write as a monomial in standard from. (-0.6m^3n^2)^3
Step-by-step explanation:
The answer is -0.216m^9n^6
The 9 N and the 6 are exponents
The given monomial in standard from as [tex]-0.216m^927n^6[/tex].
The given monomial is (-0.6m³3n²)³.
What is the monomial?Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial.
The given monomial can be solved as follows:
Using power law of exponent [tex](a^m)^n=a^{mn}[/tex], we get
(-0.6m³3n²)³
= [tex]-0.216m^927n^6[/tex]
Therefore, the given monomial in standard from as [tex]-0.216m^927n^6[/tex].
Learn more about the monomial here:
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Liam invests $3,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $2,040 in an online savings account which gives 5.5% simple annual interest. After five years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?
Step-by-step explanation:
Given:
Investment P₁ = $3670Investment P₂ = $2040Rate of interest r₁ = 1.9% SIRate of interest r₂ = 5.5% SITime t = 5 yearsFind amount of interest in both investments:
I₁ = P₁r₁t = $3670*(1.9/100)*5 = $348.65I₂ = P₂r₂t = $2040*(5.5/100)*5 = $561.00As we see the online savings account earns more interest and the difference is:
$561.00 - $348.65 = $212.35 ≈ $212Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?
PLS HELP WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLS HELP ASAP! AND ANSWER ALL 5:
Answer:
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1) quotient of 32 and 4 is 32/4
8 more than means + 8
so 32÷4 + 8
2) quotient of 12 and 6 is 12/6
8 more than means + 8
so 12÷6 + 8
3) 7 * 4 + 3
here multiplication gets preference
so it is (7*4) + 3
3 more than the product of 7 and 4
4) 35 ÷ (12 - 5)
here parentheses gets preference
so it can be called as
35 divided by the difference of 12 and 5
or the quotient of 35 and the difference of 12 and 5
5) fill the boxes as below
16 divided by 4 = 16 ÷ 4
16 - 4
16 * 4
16 + 4
16 ÷ 4
16 * 4
16 + 4
16 - 4
Given the diagram below find the value of x
Answer:
x = 15
Step-by-step explanation:
a straight line has the angle of 180 degrees
so when added together both angles should equal 180
4x - 17 + 137 = 180
then combine like terms
4x + 120 = 180
and then subtract
4x = 60
and then divide
x = 15
and that is your answer
Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd
Answer:
whats
Step-by-step explanation:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
A) no solution
Step-by-step explanation:
These lines are parallel. Which means that they will never intersect, and since the solution to a system of equations is the point or points of intersection, this means there would be no solution to this system.
Solve for X: x-5=m
Options
x=m
x=5
x=m+5
x=m-5
Answer:
x=m+5
Step-by-step explanation:
if x minus 5 is m then reverse it and m plus 5 would be x
Answer:
x=m: x-5=m which means m-5=m which means 5=0 which means No Solutions
x=5: x-5=m which means 5-5=m which means m=0
x=m+5: m+5-5 which means m-0=m which means No solutions
x=m-5: m-5-5=m which means m-10=m which means -10=0 which means No solutions
A valuable collection of coins contained old nickels, dimes,quaters, and pennies. The face value of the pennies was $8. Therewere seven more than three times as many quaters as dimes andsixteen less than twice as many nickels as quaters. If the facevalue of the entire collection was $38.40, how many of each kind ofcoin was there?
Answer:A number line shows 114, −224, and −134. Which statement is NOT true?
Step-by-step number line shows 114, −224, and −134. Which statement is NOT true?
A number line shows 114, −224, and −134. Which statement is NOT true?
What is the stimated difference of 31,523 - 23,589
Answer:
8000 (Estimated) and the real difference would be 7934
Step-by-step explanation:
An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation
36 pictures for $ or 24 pictures for $5
Answer:
I think it is 24 cus it's more bigger and cooler and hotter and shorter and butter
omg please help idek
Rewrite the equation below so that it does not have fractions.
3/4x-5=3/8
Do not use decimals in your answer.
Answer:
x=
6
43
Step-by-step explanation:
pasos
4
3
x−5=
8
3
Agrega 5 a ambos lados.
4
3
x=
8
3
+5
Convertir 5 a la fracción
8
40
.
4
3
x=
8
3
+
8
40
Como
8
3
y
8
40
tienen el mismo denominador, sume sus numeradores para sumarlos.
4
3
x=
8
3+40
Suma 3 y 40 para obtener 43.
4
3
x=
8
43
Multiplica los dos lados por
3
4
, el recíproco de
4
3
.
x=
8
43
×(
3
4
)
Multiplica
8
43
por
3
4
(para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).
x=
8×3
43×4
Realiza las multiplicaciones en la fracción
8×3
43×4
.
x=
24
172
Reduzca la fracción
24
172
a su mínima expresión extrayendo y anulando 4.
x=
6
43
Help asapppppppppp!!!!
Answer:
The answer is C
Step-by-step explanation:
25^2 = 625
20^2 = 400
625+400 = 1025
sqrt(1025) is the answer
Helpppppp!!!!!!!!!All you need to do is explain the steps!!!!
Answer: Heyy Bestie <3
The Answer Steps are down below
Stay Sliving
The thing is that's all I got. There is no other way to simplify it. Are you sure that is the right equation?
recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.
Answer:
5 cups of flour need to make two cakes
what is the answer to 5^-16+24 with solution
Answer:
24
Step-by-step explanation:
i used calculator. it is so easy
there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds
Answer:
Step-by-step explanation:
The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.
The 5th term of an arithmetic sequence is 30, while the 13th term is 70
Answer:
a = 10
d = 5
Step-by-step explanation:
[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]
a + 4d = 30 ------------------(I)
[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]
a + 12d =70 -------------(II)
Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d
(I) a + 4d = 30
(II)*(-1) -a - 12d = -70 {Now add}
- 8d = - 40
Divide both sides by (-8)
d = -40/-8
d = 5
Plugin d = 5 in equation (I)
a + 4*5 = 30
a + 20 = 30
a = 30 - 20
a = 10
A new energy drink advertises 140 calories for 8 ounces. How many calories are in 20 ounces of the drink?
There are
calories in the 20 ounce drink.
Answer:
350
Step-by-step explanation:
in every 140 calories there is 8 ounces
what about in 20 ounce of drink
140 calories ___8 ounce
? 20 ounce
140×20 =2800÷8=350
