Answer:
rational, integer, whole, natural, real
Step-by-step explanation:
Trailing zeros after the decimal point do not change the value of a number. This number is 1, a rational, real, integer, whole, natural number.
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 333 trips, and for each trip Lennox gets 300300300 dollars. On a single trip, a truck delivers 505050 packs, and each pack contains 121212 kilograms of apples. Overall, Lennox sells 450045004500 dollars worth of apples in a week. How much does Lennox get for a single kilogram of apples? Dollars per kilogram
Using proportions, it is found that Lennox gets 2.5 dollars per kilogram.
During each week:
The truck goes on 3 trips.In each trip, 50 packs are delivered.Each pack contains 12 kilograms of apples.Hence, the amount of kilograms delivered each week are:
[tex]A = 3(50)(12) = 1800[/tex]
He sells 4500 dollars each week(1800 kilograms), hence, the amount of dollars per kg is:
[tex]D = \frac{4500}{1800} = 2.5[/tex]
Lennox gets 2.5 dollars per kilogram.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Answer:0.50
Step-by-step explanation:
how many are 3 raised to 3 ???
Answer:
27
Step-by-step explanation:
3^3 = 3 x 3 x 3 = 27
Rational and irrational numbers are both imaginary numbers.
True
False
help please! thank you :)
Answer:
The correct option is;
False
Step-by-step explanation:
An imaginary number is also known as a imaginary part of a complex number is a real number that has a factor of √(-1)
Rational numbers are numbers that can be put in the form of the ratio of two integers (real numbers), forming a simple fraction such as 1/2, or 3/7
Irrational numbers are the subset of real numbers that cannot be expressed as a ratio of two numbers such as π, √2, Eulers number, e, the golden ratio, φ
Therefore, rational numbers and irrational numbers are real numbers not imaginary numbers.
Please help me understand this number sequence
Answer:
Step-by-step explanation:
A=a(r)^t
a=1
time=2.5 hours=25/10 ×60=150 minutes
10t=150
t=150/10=15
[tex]A=1(2)^{15}=32,768[/tex]
Dtermine the answer to (−5) + 4 and explain the steps using a number line
Answer:
Step-by-step explanation:
=-5 +4
= -1
put a dot on -1 and go from -5 to -1 and then from -1 to -5
Solve two-step equations. -5/2 a + 5 = 25
Answer:
a = -8
Step-by-step explanation:
-5/2 a + 5 = 25
Subtract 5 from each side
-5/2 a + 5-5 = 25-5
-5/2 a = 20
Multiply each side by -2/5
-2/5 *-5/2 a = 20*-2/5
a = -8
Consider a rectangle, where two adjacent vertices of a rectangle are located at the coordinates (-3 , 1) and (5 , 1). Two sides of this rectangle have a length of 6 units. Possible coordinates for one of the two missing vertices is ? The length of the diagonal of the rectangle is ? units.
Answer:
co-ordinates are (-3,7) and (5,7)
or
(-3,-5) and (5,-5)
length of diagonal=10 units
Step-by-step explanation:
[tex]length=\sqrt{(5+3)^2+(1-1)^2} =\sqrt{64} =8\\slope ~of~length=\frac{1-1}{5+3} =0\\\\length ~of~rectangle~is~parallel~to~x-axis\\ width~ is~ parallel ~to~y- axis~and~is~6~units~away~from~length.\\other co-ordinates ~of~rectangle are~(-3,1+6)~and ~(5,1+6)~or~(-3,7)~and~(5,7)\\and~other~co-ordinates~are~(-3,1-6)~and~(5,1-6)~or~(-3,-5)~and~(5,-5)[/tex]
length of diagonal
d=\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10 ~units\\or\\d=\sqrt{(5+3)^2+(1-7)^2} =\sqrt{64+36} =\sqrt{100} =10~units.
Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:
Answer:
see below
Step-by-step explanation:
To find the x intercept set y =0 and solve for x
0= 10x - 32
32 = 10x
Divide by 10
3.2 = x
The x intercept
( 3.2,0)
To find the y intercept set x =0 and solve for y
y= 0 - 32
y = -32
( 0, -32)
Answer:
(0, -32)
(3.2, 0)
Step-by-step explanation:
The line is in slope intercept form. It is easy to identify the y-intercept.
[tex]y=mx+b[/tex]
The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.
To find the x-intercept, set the value of 'y' to zero and solve for 'x'.
[tex]0=10x-32\\\\0 + 32 = 10x-32+32\\\\32=10x\\\\\frac{32}{10}=\frac{10x}{10}\\\\\frac{32}{10}=x\\\\\rightarrow \frac{32/2}{10/2}=\frac{16}{5}\\\\ \boxed{x=\frac{16}{5}}[/tex]
The x intercept is (16/5, 0).
This can also be expressed as (3.2, 0).
Hope this helps.
Find the number of four-digit numbers which are not divisible by 4?
Answer:
6750
Step-by-step explanation:
4 digit numbers are 1000,1001,1002,...,9999
let numbers=n
d=1001-1000=1
9999=1000+(n-1)1
9999-1000=n-1
8999+1=n
n=9000
now let us find the 4 digit numbers divisible by 4
4| 1000
______
| 250
4 |9999
_____
| 2499-3
9999-3=9996
so numbers are 1000,1004,1008,...,9996
a=1000
d=1004-1000=4
let N be number of terms
9996=1000+(N-1)4
9996-1000=(N-1)4
8996=(N-1)4
N-1=8996/4=2249
N=2249+1=2250
so number of 4 digit numbers not divisible by 4=9000-2250=6750
Keisha, Felipe, and Manuel sent a total of 100 text messages during the weekend. Keisha sent 8 more messages than Felipe. Manuel sent 2 times as many
messages as Felipe. How many messages did they each send?
Answer:
Felipe = 23 messages
Keisha = 31 messages
Manuel = 46 messages
Step-by-step explanation:
Keisha = K
Felipe = F
Manuel = M
=> There are a total of 100 messages.
=> K sent 8 +F => K = 8 + F
=> M sent 2 * F => M = 2F
=> F = F
=> 8 + F + 2F + F = 100
=> 8 + 4F = 100
=> 8 - 8 +4F = 100 -8
=> 4F = 92
=> 4F/4 = 92/4
=> F = 23
So, Felipe = 23 messages.
Keisha = 8 + F = 8 + 23 = 31 messages.
Manuel = 2F = 2* 23 = 46 messages.
46 + 31 + 23 = 77 + 23 = 100 messages.
So, the answer is correct.
Find the value of f(2).
y = f(x)
Answer:
2
Step-by-step explanation:
Looking at the graph, it is 2.
La presa de Hidroituango tiene una altura de 225 m., alberga 20 millones de m^3 de volumen y una cresta de 550 metros de longitud, suponiendo que es un cuadrilátero con la base inferior de 200 m de longitud, determine las dimensiones y área superficial de la presa
Answer:
El ancho de la superficie = 444,44 my el largo = 200 m
La superficie de la superficie de la presa = 88888,89 m²
Step-by-step explanation:
Los parámetros dados son;
La altura del agua en la presa = 225 m
El volumen de agua en la presa, d = 20 millones de m³
La longitud de la base = 200 m
Sea el ancho de la presa = x
El volumen viene dado por la relación;
200 × 225 × x = 20 millones de m³
x = 20.000.000 / (200 × 225) = 444,44 m
Por tanto, las dimensiones de la superficie son ancho = 444,44 my largo = 200 m
El área de superficie de la superficie de la presa = 444.44 × 200 = 88888.89 m².
Find the slope of the line that passes through the points (-8,-3) and (2, 3)
0
1
3/5
5/3
Answer:
The answer is
[tex] \frac{3}{5} [/tex]Step-by-step explanation:
To find the slope passing through two points we use the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]Where
m is the slope
( x1 , y1) and ( x2 , y2) are the points
From the question the points are
(-8,-3) and (2, 3)
So the slope is
[tex]m = \frac{3 + 3}{2 + 8} = \frac{6}{10} = \frac{3}{5} [/tex]Hope this helps you
Cam’s tent (shown below) is a triangular prism.
Find the surface are, including the floor of his tent
PLEASE HELP
Answer:
21.4 m²
Step-by-step explanation:
To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.
Let's start with the triangles. The area of any triangle is [tex]\frac{bh}{2}[/tex]. The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.
[tex]\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7[/tex]
So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:
[tex]1.7\cdot2=3.4[/tex]
Now let's find the area of the sides.
The side lengths are 2 and 3, so
[tex]2\cdot3=6[/tex], and there are 3 sides (including the bottom/floor) so [tex]6\cdot3=18[/tex].
Now we add.
[tex]18+3.4=21.4[/tex] m².
Hope this helped!
Answer: 21.4 square meters^2
Step-by-step explanation:
3(x-4)=-5 solve for x
Answer:
x = 7/3
Step-by-step explanation:
3(x-4)=-5
Distribute
3x - 12 = -5
Add 12 to each side
3x -12+12 = -5+12
3x = 7
Divide by 3
3x/3 = 7/3
x = 7/3
Answer:
x = 7/3
Step-by-step explanation:
3(x-4)=-5
3x -12= -5
3x = 7
x =7/3
Draw graph x + y = 7 and x - y = 2 on the same graph
Graphed in attached file and drawn!
Answer:
see attachment
Step-by-step explanation:
Help? Hello Help me please
Answer:
$562.75
Step-by-step explanation:
The future value formula is good for this.
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
Using your numbers, we find the account value to be ...
FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75
There will be $562.75 in the account after 2 years.
Art walked 4.1 km in preparation for the Community Walk–a–thon. Bill walked 3600 m. How many more metres did Art walk than Bill?
Answer:
.5 more kilometres.
Step-by-step explanation:
3600 m = 3.6 km. 4.1 is .5 greater than 3.6
What are the solutions of |3x + 2| > 9?
Answer:
see below (I hope this helps!)
Step-by-step explanation:
We can split this into 2 cases:
3x + 2 > 9 or -(3x + 2) > 9
3x > 7 or 3x + 2 < -9
x > 7/3 or x < -11/3
If you draw a rectangle that has a width of 12 centimeters and an area of 48 centimeters, what is the length of the rectangle?
Answer:
length=4 cm
Step-by-step explanation:
Area of rectangle= length * width
48=l*12
length=48/12
length=4 cm
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the third option
Step-by-step explanation:
as any number is greater than -2
What is the value of the expression below when y = 4?
3y2 + y + 8
Answer:
3y²+y+8
=3(4)²+4+8
=3(16)+4+8
=48+4+8
=60
Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She sold $600 in clothing on Saturday and $1200 in clothing on Sunday. How much did she earn over the two days? A. $252 B. $291 C. $392 D. $532
Answer:
I hope this helps!
Answer D
Step-by-step explanation:
Step-by-step explanation:
salary per day =$140
bonus on sales =14%
sales on Saturday =$600
bonus on Saturday sales=14/100*$600
=$84
sales on Sunday =$1200
bonus on Sunday sales=14/100*$1200
=$168
total amount she earned over the two days=$140+$84+$168
=$532
If m is 21 inches, k is 34 inches, and ∠J measures 60°, then find j using the Law of Cosines. Round your answer to the nearest tenth.
Answer:
j = 29.7 inches
Step-by-step explanation:
The following data were obtained from the question:
m = 21 inches
k = 34 inches
Angle L = 60°
j =?
Using Cosine rule, the value of j can be obtained as follow:
j² = m² + k² – 2mk Cos J
j² = 21² + 34² – 2 × 21 × 34 × Cos 60°
j² = 441 + 1156 – 1428 × 0.5
j² = 1597 – 714
j² = 883
Take the square root of both side
j = √883
j = 29.7 inches
Therefore, the value of j is 29.7 inches.
the nth term of the quadratic sequence is 3n² - 10 work out the 5th term of this sequence .
NEED HELP
Answer:
The answer is - 65Step-by-step explanation:
From the question the nth term of the sequence is
3n² - 10
where n is the number of terms
Since we are finding the 5th term
n = 5
Substitute this value into the above formula
That's
3(5)² - 10
= 3( 25) - 10
= 75 - 10
We have the final answer as
- 65Hope this helps you
A statistical survey shows that 28% of all men take size 9 shoes. What is the probability that your friend's father takes size 9 shoes
Answer:
7/25 of a chance or a 28% chance as said in the questiom
Step-by-step explanation:
So, the question says it's a 28% chance or a 28/100 chance.
All you have to do is simplify the fraction or just still right 28% chance. But for the fraction:
Divide the numerator and denominator by 2 to get 14/50.
Divide both by two again to simplify fully to 7/25
Question
De acuerdo con la experiencia de una empresa dedicada al desarrollo de software, para realizar un proyecto mediano se requieren seis programadores para finalizarlo en 21 días. Teniendo en cuenta que la relación entre el número de programadores y el número de días necesarios para el desarrollo es inversa, la cantidad de programadores que se deben contratar para finalizar el proyecto en 14 días es nueve.
Answer:
u should put his is English and then translate it to read it
¿cuántas raíces cuadradas tiene el número 0?
Answer:
one
Step-by-step explanation:
Zero has one square root which is 0.
Negative numbers don't have real square roots since a square is either positive or 0.
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = One-halfbh 68.7 cm2 161.8 cm2 381.3 cm2 450.0 cm2
Answer:
161.8 cm²
Step-by-step explanation:
The given formula works if you have both legs of the triangle. Using the given information, a better formula is ...
A = (1/2)ab·sin(C) . . . . C is the angle between sides 'a' and 'b'
A = (1/2)(27.6 cm)(30 cm)sin(23°) ≈ 161.8 cm²
Answer:
B on edg 2020
Step-by-step explanation:
Just took test
help me plzzzzz and ASAP. on a coordinate grid point P is at (4, 3) and point R is at (-2, -5) points Q and S are reflection of both points across the x-axis what are the coordinates of Q and S please answer correctly
Answer:
B
Step-by-step explanation:
The rules for reflecting across the x axis are just multiply the y value by -1
your answer is the second answer choice
For y axis refection, it is the same but for the x value, not the y .
