Answer:
Rational
Step-by-step explanation:
Since a and b are rational, a - b has to be rational because we are not dividing them. 2 rational numbers subtracted from each other is always a rational number.
Example: 34 (rational) 23 (rational)
34 - 23 = 11 (rational)
i think the answer. . .is the second one please correct me if i'm wrong
Answer: You are correct, it is the second option.
Step-by-step explanation:
Volume of a cylinder formula is: pi*r^2*h. The diameter is 6 and the radius is half the diameter so we get r=3. The height is 10 inches, so h=10. pi(3)^2(10) is the volume of the vase.
Volume of a sphere (marbles) formula is: 4/3*pi*r^3
The marbles have a diameter of 3 so 3/2=1.5. r=1.5.
The volume of the marbles is 8(4/3*pi*1.5^3).
Then you subtract the volume of the marbles from the volume of the vase to find the volume of the water in the vase.
pi(3)^2(10) - 8(4/3pi(1.5)^3)
Hope this helps. :)
Answer:
You are absolutely correct, second option is the correct answer.
Step-by-step explanation:
Diameter of vase = 6 inches
Therefore, radius r = 3 inches
Diameter of marbles = 3 inches
Radius of marbles = 1. 5 inches
Height of water h = 10 inches
Volume of water in the vase = Volume of vase - 8 times the volume of one marble
[tex] = \pi r^2h - 8\times \frac{4}{3} \pi r^3 \\\\
= \pi (3\: in) ^2(10\: in) - 8( \frac{4}{3} \pi (1.5\: in) ^3) \\\\[/tex]
round your answer to the nearest hundredth. Find angle A=?
Answer:
A=48.81
Step-by-step explanation:
it is a right angle triangle find the hypotenuse c using Pythagorean theorem:
c²=a²+b²
c²=8²+7²
c=√64+49
c=10.63
sin A =opp/hyp
sin A=8/10.63
A= 48.81
another way :
tan A=opp/adj
tan A=8/7
A=48.81
Rosemary walks each week for exercise. Let d represent the distance walked and h represent the number of hours spent walking Last weekwalked 18 miles in 6 hours This week d = 2.5h Which statement must be true?
THIS IS THE COMPLETE QUESTION BELOW;
Rosemary walks each week for exercise. Let d represent the distance walked and h represent the number of hours spent walking.
Last week: walked 18 miles in 6 hours
This week: d = 2.5h
Which statement must be true?
A.This week, she walked a greater distance.
B. Last week, she walked a greater distance
C. This week, she walked at a faster pace.
D. Last week, she walked at a faster pace
Answer
OPTION B is correct
B)Last week, she walked a greater distance
Step-by-step explanation:
We were told Rosemary walks each week for exercise.
From the question,
✓d represented the distance walked
✓h represent the number of hours spent walking.
A)Last week: she walked 18 miles in 6 hours
Then, if she walks 18 miles in 6 hours, we can be expressed as (18miles/6hour)
= 3 miles per hour
B)This week: d = 2.5h
This implies that she she walked 2.5 miles per hour this week since the distance is expressed in miles and time in hours.
So we can conclude that last week she walked 3 miles per hour which is more greater than 2.5 miles per hour which she walks this week.
Therefore, OPTION B is correct, (Last week, she walked a greater distance)
Answer:
It's b
Step-by-step explanation:
Please help. I need it. Bad.
Answer:
Option a.
Step-by-step explanation:
In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.
Opposite side of right angle is hypotenuse. So, CB is hypotenuse.
From figure it is clear that CA is shorter that segment BA.
All angles are congruent to itself. So angle C is congruent to itself.
We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.
So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.
Therefore, the correct option is a.
Which answer choice identifies the relevant information in the problem? Sarah left the house at 12:15 p.M. To go to the store. She spent $42.20 on 2 books for her children and she spent $5.67 on a toys for her dog, Rover. Sarah arrived home at 1:00 p.M. How much did Sarah spend on each book? A. She spent $42.20 on 2 books. B. She spent $42.20 and $5.67. C. She left the house at 12:15 p.M. And arrived home at 1:00 p.M. D. You need to know how many children she has to solve the problem.
Answer:
Answer choices A, B and C identifies the relevant information in the problem
Step-by-step explanation:
Sarah left the house at 12:15 pm
She spent $42.20 on two books for her children
She spent $5.67 on a toy for her dog
Sarah arrived home at 1:00 pm
How much did Sarah spent on each book?
If she spent $42.20 on two books for her children,
Then, it means she has two children and the book cost $21.10 each
Answer choices A, B and C identifies the relevant information in the problem
Answer:
its A all the other one dont make sence sorry if im wrong but i got it right on my test
Step-by-step explanation:
♡Easy Brainliest♡ Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement? A Both sinA and cosB are equal to ab. B Both sinA and cosB are equal to ac. C For sinA to equal cosB, a and c must be equal. D For sinA to equal cosB, a and b must be equal.
Answer:
Answer is A
Step-by-step explanation:
Hope it helps
Solve for a. Worth 10 pts!
[tex] \frac{1}{5} a - 5 = 20[/tex]
Answer:
Step-by-step explanation:
1/5 a-5=20 addition properties
1/5 a -5+5=20+5
1/5=25 multiply both sides by 5
5/5 a=25*5
a=125
check the answer:
125/5 -5=20
25-5=20
20=20 correct
Help, Answer ASAP; will give brainliest
Answer:
a = 2, b = 3
Step-by-step explanation:
The diagonals of a rectangle bisect each other, thus
5a² = 4a² + 4 ( subtract 4a² from both sides )
a² = 4 ( take the square root of both sides )
a = [tex]\sqrt{4}[/tex] = 2
Also
6b - 8 = 4b - 2 ( subtract 4b from both sides )
2b - 8 = - 2 ( add 8 to both sides )
2b = 6 ( divide both sides by 2 )
b = 3
Over what axis was the square reflected in the first example?
The x-axis
The y-axis
Answer:
The x-axis!
Step-by-step explanation:
$4.50 per 1 Kilogram
How many kilograms can you buy with $10
Answer:
2.23kg
Step-by-step explanation:
If you can get 1 kg for $4.50. You can perform a ratio to find out how much you get for $10.
1/4.50=x/10
.2222222=x/10
multiply the 10 on both sides
x=2.23 kg for $10
Figure p was rotated about the origin (0,0) by 180. Which figure is the image of p?
Mentally, rotating the Cartesian Plane 180º, we find that the figure that was in the 4th quadrant goes to the 2nd quadrant.
So, answer B
NEEDDD HELPPPP ASAPPPPPPPPPP !!
Answer:
42 = 8x + 13x
42 = 21x
x = 2
8 = 8c -4(c + 8)
8 = 8c - 4c - 32
8 = 4c - 32
40 = 4c
c = 10
Answer:
42 = 8x + 13x42 = 21x
42/21 = x
x = 2
check:
42 = 8*2 + 13*2
42 = 16 + 26
8 = 8c - 4(c+8)8 = 8c -4*c -4*8
8 = 8c - 4c - 32
8 + 32 = 4c
40 = 4c
40/4 = c
c = 10
Check:
8 = 8*10 - 4(10+8)
8 = 80 - 4*18
8 = 80 - 72
En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8
Camionetas tipo Pick-up y 2 automóviles deportivos.
Cl costo de producción y el precio de venta de cada vehículo es el siguiente:
Costo de
Vehículo
Precio de
Producción Venta
SEDAN
SEDAN
DEPORTIVO
$140,000 $185.000
SUV
$250,000
$320,000
VAN
$310,000
$400,000
PICK-UP
PICK-UP
$210,000
$285,000
VAN
DEPORTIVO
$400,000
$550,000
SUV
Cada año transcurrido, posterior a su fabricación, el precio de venta de los
vehículos disminuye una octava parte de su valor.
a suponiendo que en un día se vendan los vehículos en igual cantidad de los
que se fabricaron, como podrías calcular la ganancia?
b
Si la fábrica trabajara solo 12 horas, existe una forma de calcular cuántos
vehiculos se fabrican, ¿cuantos se fabricaron en este lapso? Sustenta tu
respuesta
Answer:
a. La ganancia es de $ 4,060,000.00
b. 31 vehículos
Step-by-step explanation:
(a) Los parámetros dados son;
El número de automóviles tipo sedán fabricados = 24
El número de camiones tipo SUV fabricados = 16
El número de camiones tipo VAN fabricados = 12
El número de camionetas pick-up fabricadas = 8
El número de autos deportivos fabricados = 2
La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000
La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000
La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000
La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000
La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000
La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000
(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas
Por lo tanto, tu fabricado
12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.
Between which two integers on a number line does -√120 lie on?
Answer:
-11 and -10
Step-by-step explanation:
● -√120 = -1 × √120
● -√120 = -1 × 2√30
● 30 is close to 25 so √30 is close to five but greater than it.
Multiplying 5 by -2 gives -10
Multipluing √30 by -2 gives you a number that is close to -10 but smaller than it.
So -√120 lies between -11 and -10
Determine the slope of a line which contains the points (2, 4) and (-6, 9). Write your answer in simplest form.
Answer:
-5/8
Step-by-step explanation:
(2,4) (-6.9)
m= y2-y1/x2-x1
= 9-4/-6-2
=5/-8
=-5/8
Two trees are growing in a clearing. The first tree is 17 feet tall and casts a 10 foot shadow. The second tree casts a 35 foot shadow. How tall is the
second tree to the nearest tenth of a foot?
Answer:
59.5 feet
Step-by-step explanation:
The second tree is 59.5 feet tall.
GivenTwo trees are growing in a clearing.
The first tree is 17 feet tall and casts a 10-foot shadow.
The second tree casts a 35-foot shadow.
Let x be the tall is the second tree.
Then,
The ratio of the height of the tree is;
[tex]\rm \dfrac{17}{10} = \dfrac{x}{35}\\\\17 \times 35 = x \times 10\\\\595 = 10x\\\\x = \dfrac{595}{10}\\\\x = 59.5 \ feet[/tex]
Hence, the second tree is 59.5 feet tall.
To know more about Ratio click the link given below.
https://brainly.com/question/8677748
The radius of the circle is increasing at a rate of 1 meter per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 20 meters, then how fast is the AREA outside the circle but inside the square changing
Answer:
The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.
Step-by-step explanation:
According to the statement of the problem, the circle is inside the square and the area inside the square but outside the circle, measured in square meters, is represented by the following formula. It is worth to notice that radius ([tex]r[/tex]) is less than side ([tex]l[/tex]), both measured in meters:
[tex]A_{T} = A_{\square} -A_{\circ}[/tex]
[tex]A_{T} = l^{2}-\pi\cdot r^{2}[/tex]
Now, the rate of change of the total area is calculated after deriving previous expression in time:
[tex]\frac{dA_{T}}{dt} = 2\cdot l\cdot \frac{dl}{dt} -2\pi\cdot r\cdot \frac{dr}{dt}[/tex]
Where [tex]\frac{dl}{dt}[/tex] and [tex]\frac{dr}{dt}[/tex] are the rates of change of side and radius, measured in meters per day.
Given that [tex]l = 20\,m[/tex], [tex]r = 3\,m[/tex], [tex]\frac{dl}{dt} = 3\,\frac{m}{day}[/tex] and [tex]\frac{dr}{dt} = 1\,\frac{m}{day}[/tex], the rate of change of the total area is:
[tex]\frac{dA_{T}}{dt} = 2\cdot (20\,m)\cdot \left(3\,\frac{m}{day} \right)-2\pi\cdot (3\,m)\cdot \left(1\,\frac{m}{day} \right)[/tex]
[tex]\frac{dA_{T}}{dt} \approx 101.150\,\frac{m^{2}}{day}[/tex]
The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.
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.
somebody please help me on this geometry!! it’s urgent i’ll mark you the brainliest
Answer:
XN = 6
Step-by-step explanation:
Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is
[tex]\frac{AX}{XN}[/tex] = [tex]\frac{AY}{YN}[/tex] , substitute values
[tex]\frac{18}{XN}[/tex] = [tex]\frac{12}{4}[/tex] ( cross- multiply )
12XN = 72 ( divide both sides by 12 )
XN = 6
DUE NOW PLEASE HELP!!!
Factor completely x2 − 10x + 25.
(x − 5)(x − 5)
(x + 5)(x + 5)
(x + 5)(x − 5)
(x − 25)(x − 1)
Answer:
(x - 5)(x - 5)
Step-by-step explanation:
[tex] {x}^{2} - 10x + 25 \: is \: the \: expansion \\ of \: {(x - 5)}^{2} \\ {(x - 5)}^{2} = (x - 5)(x - 5)[/tex]
The complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.
How to factor a quadratic expression?A quadratic expression of the form ax² + bx + c is factored by using the mid-term factorization method, which suggests that b should be broken in such two components that their product = ac. After this, we can factorize using the grouping method.
How to solve the given question?In the question, we are asked to factor the quadratic expression x² - 10x + 25 completely.
Comparing x² - 10x + 25 to ax² + bx + c, we get a = 1, b = -10, and c = 25.
To factor the expression we will use the mid-term factorization method, and try to break b in such two numbers whose product = ac.
Now, ac = 1 * 25 = 25. b = -10, which can be broken as -5, and -5.
Therefore, we can write the given expression as:
x² - 10x + 25
= x² - 5x - 5x + 25, mid-term factorization
= x(x - 5) -5(x - 5), grouping
= (x - 5)(x - 5), grouping.
Therefore, the complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.
Learn more about mid-term factorization at
https://brainly.com/question/25829061
#SPJ2
Jeania's parents have given her a interest-free loan of $100 to buy a new pair of running shoes She has to
pay back the loan with monthly payments of $20 each.
Write a function rule for the balance of the function (p), where p represents the number of
payments Jeania has made.
Answer:
The balance on the loan f(p) = $100 - $20 × p
Step-by-step explanation:
The parameters of the question are;
The loan amount = $100
The amount of monthly payment for the loan = $20
The function rule for the balance of the function f(p) where p is the number of payments is given as follows;
The balance on the loan, f(p) = The loan amount less the total amount paid
The total amount payment Jeania has made = Amount of monthly payment × Number of months paid, p
The total amount payment Jeania has made = $20 × p
∴ The balance on the loan, f(p) = $100 - $20 × p
Which gives;
f(p) = $100 - $20 × p.
ILL GIVE BRAINLIEST!!!! HELP
Two planes have a cruising speed of 750 km/h without wind. The first plane flies for 13 hours against a constant headwind. The second plane flies for 11 hours in the opposite direction with the same wind (a tailwind). The second plane flies for 250 km less than the first plane. Determine two equations that could be used to solve for the wind speed,w, and the distance traveled by the first plane,d.
1. (750+w)(13)=d (750+w)(11)=d+250 2. (750−w)(13)=d (750+w)(11)=d−250 3. (750+w)(13)=d (750−w)(11)=d−250 4. (750−w)(13)=d (750−w)(11)=d+250
Answer:
The correct option is;
2. (750 - w)(13) = d (750 + w)(11) = d - 250
Step-by-step explanation:
The items with information given are;
The cruising speed of the planes = 750 km/h
The first plane flies against a constant headwind = w
The second plane flies against a constant tailwind in magnitude to the headwind
The time duration of flight of the first plane = 13 hours
The time duration of flight of the second plane = 11 hours
The distance flown by the second plane = The distance flown by the first plane - 250 km
When we take the headwind magnitude as, w and the distance flown by the first plane as d, we have;
Speed of flight of the first plane = 750 - w
Speed of flight of the second plane = 750 + w
Therefore, the distance flown by the first plane in 13 hours is given as follows;
(750 - w) × (13) = d
Then we have;
The distance flown by the second plane in 11 hours is (750 + w) × (11) = d.
The correct option is (750 - w)(13) = d, (750 + w)(11) = d - 250
hey can you help me w/ some math ?? i make $8.50 an hour. monday through sunday only wednesday’s off. how much will i have in 2 years from today ? monday, tuesday & sunday is from 4-9pm .... then friday,saturday & sunday is from 4-10pm.
Answer:
$29252.1669
Approximately $29252.1
Step-by-step explanation:
For Monday, Tuesday and Sunday:
=> 8.50 x 5 x 3
=> 8.5 x 15
=> 127.5
I multiplied 8.5 and 5 because you work for 5 hours. Then multiplied them with 3 it is for 3 days.
For Friday, Saturday, Thursday:
=> 8.5 x 6 x 3
=> 8.5 x 18
=> 153
I multiplied 8.5 and 6 because you work for 6 hours. Then multiplied them with 3 because it is for 3 days.
In 1 week you get:
=> 153 + 127.5
=> 280.5
In 1 year there are 52.1429 weeks.
So, you get:
=> 52.1429 x 280.5
=> 14626.08345
For 2 years, you get:
=> 14626.08345x 2
=> 29252.1669
=> Approximately $29252.1
We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation E=\dfrac{17}{20}DE= 20 17 DE, equals, start fraction, 17, divided by, 20, end fraction, D. How many euros have the same value as 111 U.S. Dollar? euros How many U.S. Dollars have the same value as 111 euro? dollars
Answer: 1 U.S.dollar = 0.85 euro.
1 euro = 1.18 dollars.
Step-by-step explanation:
The given equation: [tex]E=\dfrac{17}{20}D[/tex]
, where 'E' is the amount of euros that has the same value as 'D' U.S. Dollars.
At D= 1,
[tex]E=\dfrac{17}{20}=0.85\text{ euro}[/tex]
i.e. 1 U.S.dollar = 0.85 euro.
At E= 1 , we have
[tex]1=\dfrac{17}{20}D\\\\\Rightarrow\ D= 20/17\approx1.18\text{ dollars}[/tex]
Hence, 1 euro = 1.18 dollars.
13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their diameters.
Answer:
The diameter of the bacterium is 4.05 times the diameter of the plant cell
Step-by-step explanation:
Given
The given parameters both represent diameters
Plant Cell; P = 1.26m
Bacterium; B = 5.1m
Required
Compare both diameters;
Write out both expressions
[tex]P = 1.26[/tex]
[tex]B = 5.1[/tex]
Divide B by P
[tex]\frac{B}{P} = \frac{5.1}{1.26}[/tex]
[tex]\frac{B}{P} = 4.04761904762[/tex]
Approximate
[tex]\frac{B}{P} = 4.05[/tex]
Multiply both sides by P
[tex]P * \frac{B}{P} = 4.05 * P[/tex]
[tex]B = 4.05 * P[/tex]
[tex]B = 4.05P[/tex]
This implies that;
The diameter of the bacterium is 4.05 times the diameter of the plant cell
Please please please please help
Answer:
[tex]x^2 +4x +3 [/tex]
Step-by-step explanation:
f(x)=x²-1
g(x)= x+2
f(g(x)) =f(x+2)
=(x+2)²-1
=x²+4x+4-1
=x²+4x+3
At a speed of 15 kilometres per hour, it takes me 8 hours to reach at a point. If the time taken by me to reach at same point is 5 hours, then my speed would be
Answer:
24 kilometers per hour
Step-by-step explanation:
15 kph x 8 h = 120 kilometers
120km/5 hours = 24 kph
Step-by-step explanation:
Hi, there!!!
According to the question,
1st case
At the speed of 15 km/ hr, it takes time 8 hrs to reach a point.
Then, we must find the distance first to calculate your speed in 2nd case,
So, let's find the distance first,
now,
distance (d) = s×t
or, d= 15km/ hr × 8hrs
Therefore, the distance is 120 km.
now,
In 2nd case,
As the question has asked to find speed on same point, it will have same distance covered.
time( t) = 5hrs.
distance (d)= 120km
now,
speed = distance/time taken
or, s= 120 km/5 hrs
or, s = 24km/ hr.
Therefore, your speed in 2nd case will be 24km/hr.
Hope it helps...
solve the multi step literal equation: solve equation for A b^2A^2-3g=q
Answer:
A = ± [tex]\sqrt{\frac{q+3g}{b^2} }[/tex]
Step-by-step explanation:
Given
b²A² - 3g = q ( add 3g to both sides )
b²A² = q + 3g ( divide both sides by b² )
A² = [tex]\frac{q+3g}{b^2}[/tex] ( take the square root of both sides )
A = ± [tex]\sqrt{\frac{q+3g}{b^2} }[/tex]
What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60
Answer:
m = -2
Step-by-step explanation:
First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)
18m + 7m = -60 + 2 + 8
Now we simplify to get this:
25m = -50
Now we divide -50 by 25 which gets us -2.
Therefore, m = -2
Hope this helps!
if 13 minute video played for 6 minutes what is the amount of percent played
Answer: 46.15%
Step-by-step explanation:
From the question, we are informed that a 13 minute video played for 6 minutes. The amount of percent played will be:
= 6/13 × 100
= 0.4615 × 100
= 46.15%
