[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1.}[/tex]
[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]
[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Question \#2.}[/tex]
[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Multiply. 4.9 0.3 plz i need epain how to do it
Answer:
1.47
Step-by-step explanation:
Use the multiplication method.
Answer:
Hello!
_______________________-
4.9 x 0.3 = 1.47
Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.
Hope this helped you!
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities? There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities?
Answer:
Step-by-step explanation:
No of people using both gym and pool that is N( gup ) = 25
No of people using both track and pool that is N( tup ) = 30
No of people using both track and gym that is N( tug ) = 17
No of people using all that is N( gutup) = 6
No of people using two or three facilities
= 25+30+17- 2 x 6
= 60
Total no of people = 125
No of people using only one facility
= 125 - 60
= 65 .
Ratio of people using only one facility
= 65 / 125
.52
Required probability
= .52 .
probability that the person uses exactly one of the facilities
= .52
Solve for F:
-3/4f =5/4
If your answer is wrong you're getting blocked
Answer:
f = -5/3
Step-by-step explanation:
-3/4f = 5/4
Multiply both sides by -4/3.
-3/4f × -4/3 = 5/4 × -4/3
f = -20/12
f = -5/3
Solve for x 8/11 = x/3
Help fast will mark you the brainlest
Answer:
55°
Step-by-step explanation:
x°+35° is a right angle
so x°+35°= 90°
then : x° = 90°-35° = 55°
Answer: x = 20
Step-by-step explanation:
This problem makes use of Supplementary Angles. Supplementary Angles states that all angles that makes up a straight line are equal to 180. Thus, 125+35+x=180
First add
160+x=180
Then subtract
x=20
Hope it helps <3
Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?
Answer: No the banner is not square.
Step-by-step explanation:
If it were square, the diagonal would be about 35.36 inches.
Pythagorean Theorem: a² + b² + = c²
?25² + 25² = 48² ?
625 + 625 ?=? 2304
1250 ≠ 2304
√1250 ≈ 35.3553
Answer:
The second option
Step-by-step explanation:
Source: trust me bro
Urgent pls. The diagram shows a parallelogram. Work out the area of the parallelogram. Give your answer to 2 significant figures.
Answer:
54.88 square cm
Step-by-step explanation:
If d1 and d2 are the diagonal of parallelogram and [tex]\alpha[/tex] is the angle between then
then its area is given by
area = d1*d2 sin [tex]\alpha[/tex]
given
in the problem
for one diagonal one part is 7cm
we know that diagonal intersects each other to divide each part of same diagonal equally.
hence if one part is of length 7 then other part is also of 7cm length
hence full length of this diagonal is 7+7 = 14cm
similarly full length of other diagonal is 4+4 = 8cm
now area of this parallelogram
area = d1*d2 sin [tex]\alpha[/tex] = 14*4 sin100
we know sin100 = 0.98
area = 56*0.98
area = 54.88
Thus, area of given parallelogram is 54.88 square cm.
Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. Write an equation to represent this situation.
Answer: 5s -3 = s -3 + 24 5s -3 = s + 21
Step-by-step explanation:
Father f
Son s . present: f = 5s use this equation to substitute the equal value
3 years ago . f-3 = s-3 + 24
Substitute 5s for f in the second equation
5s -3 = s-3 + 24
works out as 5s -s = - 3 +3 + 24
4s = 24
4s/4 = 24/4
s = 6
The son's age is 6, The father is 30
Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x,y) to (x+4,y)
Answer:
The coordinates of r' are x = 10 and y = 12.
Step-by-step explanation:
The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:
Dilation with respect to origin
[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]
Translation
[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]
If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:
1) [tex](2,4)[/tex] Given.
2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.
3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.
4) [tex](6+4,12)[/tex] Translation.
5) [tex](10,12)[/tex] Vectorial sum. Result.
The coordinates of r' are x = 10 and y = 12.
Answer:
10,12 is the answer
Step-by-step explanation:
I just did it on a p e x
A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the water from a point B on the shore. Point B is 4 mi down shore from the power station at A. It costs $5000 per mile to lay the power line under water and $3000 per mile to lay the line underground. At what point S down shores from A between the cities?
Answer:
Given :
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Help plzzzzzzzz do these two questions and I’ll mark Brainlynest
Answer:
Step-by-step explanation:
Q1: <B = 150 °
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
8x-10 = 3x+90
5x=100 (subtract 3 from both sides)
x=20 (divide both sides by 5)
x = 20
<B= 3x +90
<B = 3 (20) +90
<B = 60 + 90
<B = 150
Q2: 62
An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.
An angle is 34 more than its complement.
Let x represent the angle.
Let y represent its complement.
x= 34 +(90-x)
y= (90-x)
x + y = 90
34 + (90-x) + (90-x) =90
x= 62
Check the answer.
x= 34 more than complement.
62-34=28
62+28=90
Checked!
Words of encouragement:
Good luck!
Rodrigo compro 1/5 de los pasteles que venden la señora carmen , carlos 1/10 y francisca 1/3 del total . El resto de los pasteles no se vencio . Que parte del total aun esta disponible?
Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".
Answer:
La parte del total que aún está disponible es [tex] \\ \frac{11}{30}[/tex].
Step-by-step explanation:
El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, [tex] \\ \frac{1}{5}[/tex], de la fracción del total que compró Carlos, [tex] \\ \frac{1}{10}[/tex], y de la fracción del total que compró Francisca, [tex] \\ \frac{1}{3}[/tex].
Numericamente hablando, Rodrigo, Carlos y Francisca compraron:
[tex] \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}[/tex] [1]
Del total de los pasteles que vende la Señora Carmen.
La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:
Podemos aplicar la propiedad asociativa para la suma, es decir, primero sumamos dos fracciones y el resultado lo sumamos a la fracción restante.Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:
Fracciones con denominadores diferentes
Si los denominadores de las fracciones son diferentes, los denominadores se multiplican. Este será el nuevo denominador para la suma de dos fracciones.Luego, cada denominador se multiplica con el numerador de la otra fracción. El resultado de cada multiplicación se suma y el total forma el nuevo numerador.Simplificar la fracción de ser posible, es decir, si el numerador y el denominador pueden dividirse por un mismo número, la división resultante para el numerador y el denominador formarán la nueva fracción. El número que simplifica la fracción a su "mínima expresión" es el máximo común divisor de ambos números.Fracciones con iguales denominadores
Se deja el mismo denominador y se suman los numeradores.Seguir el paso 3 del caso anterior para simplificar la fracción.De esta forma:
[tex] \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}[/tex]
Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:
[tex] \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}[/tex]
[tex] \\ (\frac{10+5}{50})+\frac{1}{3}[/tex]
[tex] \\ \frac{15}{50} + \frac{1}{3}[/tex]
Se divide el numerador y el denominador de la fracción [tex] \\ \frac{15}{50}[/tex] entre cinco (5):
[tex] \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}[/tex]
Resultando:
[tex] \\ (\frac{3}{10})+\frac{1}{3}[/tex]
Esta fracción se suma a la siguiente y se procede de igual manera:
[tex] \\ \frac{3}{10}+\frac{1}{3}[/tex]
[tex] \\ \frac{3*3+10*1}{10*3}[/tex]
[tex] \\ \frac{9+10}{30}[/tex]
[tex] \\ \frac{19}{30}[/tex]
El número 19 es primo, es decir, sólo lo puede dividir el 1 y el mismo número (19). El 30 no es divisible por 19, por lo tanto, la fracción queda expresada de esa manera.Tenemos entonces que:
El total de los pasteles vendidos fue la fracción [tex] \\ \frac{19}{30}[/tex].La parte que aún está disponible hay que restarla del total. El total es 1.De esta manera, la parte que aún está disponible es:
[tex] \\ 1 - \frac{19}{30}[/tex]
Podemos hacer [tex] \\ 1 = \frac{30}{30} = 1[/tex] (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):
[tex] \\ \frac{30}{30} - \frac{19}{30}[/tex]
[tex] \\ \frac{30 - 19}{30}[/tex]
[tex] \\ \frac{11}{30}[/tex]
El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.
Por lo tanto, la parte que aún está disponible es la fracción [tex] \\ \frac{11}{30}[/tex], la cual podría interpretarse como once (11) partes de las treinta (30), [tex] \\ \frac{11}{30}[/tex], que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.
Hey loves!!! plz help!!!
Answer:
k Nishant
Step-by-step explanation:
there is no comman angle but their is common side that is AC
lena works for 34 hours from monday to friday at her normal rate of pay ,on saturdays she gets an overtime rate of pay ,the overtime rate is 1.5 times her normal rate, she works for 4 hours on a saturday ,altogether lena earns £320 for her weeks work , what is her normal rate of pay per hour ???
Answer: £ 8
Step-by-step explanation:
Total hours Lena works from Monday to Friday = 34 hours
Hours she works on Saturdays = 4
Overtime rate of Saturday = 1.5 times her normal rate
Let x be the normal rate.
Then , Her total earning = [tex]34 x + 4 \times(1.5x) =34x+6x=40x[/tex]
Since her total earnings for week = £ 320
So,
[tex]320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8[/tex]
Thus, her normal rate of pay per hour = £ 8
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare.
Answer:
Gym A and B offers the same price
Step-by-step explanation:
[tex]\huge\bold\color{steelblue}{\colorbox{white}{Answer:}}[/tex]
Both of them has the same price
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If you have any questions, feel free to ask me <33
#CarryOnLearning
#HelpBrainlyCommunityGreat
Find each difference.
(32mn2 + 50mn2) - (10mn2 - 16m2 + 64)
PLEASE HELP!!! ASAP!!!
Answer:
144mn + 32m - 64
:)
Step-by-step explanation:
What is this (2⋅3) ^2 −5^2 = I don't know what the dot means I think it means multiplication I got 11 am I right
Answer:
11
Step-by-step explanation:
Step 1: Parenthesis
6² - 5²
Step 2: Exponents
36 - 25
Step 3: Subtract
11
The dot is multiplication.
Answer:
11 is right, yes.
Step-by-step explanation:
The dot does mean multiplication. All you have to do is multiply 2*3 first, then do the powers, and you get 36-25, which is indeed 11.
The volume of a cube is 681472 cubic cm. Find the side of the cube.
Answer:
[tex]l = 88 cm[/tex]
Step-by-step explanation:
Volume of Cube = [tex]l*l*l[/tex]
Volume of Cube = [tex](Length)^3[/tex]
Where volume = 681472 cubic cm
=> [tex]l^3 = 681472[/tex]
Taking square root on both sides
=> [tex]l = \sqrt{681472}[/tex]
=> [tex]l = 88 cm[/tex]
Un taxi de la empresa “El rápido” se desplaza hacia el sur a una velocidad comprendida entre 60 km/h y 80 km/h. ¿Entre que valores oscila la distancia del auto al punto de partida al cabo de 5 horas
Answer:
Los valores entre los cuales oscila la distancia del automóvil después de 5 horas es entre 300 metros y 400 metros.
Step-by-step explanation:
Dado que la velocidad mínima del taxi = 60 km / h, la velocidad máxima del taxi = 80 km / h
Por lo tanto, tenemos la distancia mínima cubierta después de una hora = 60 km / h × 5 h = 300 m
La distancia máxima recorrida después de una hora = 80 km / h × 5 h = 400 m, lo que da el rango de variación de la distancia recorrida entre 300 my 400 metros.
Donde, la distancia cubierta = x, tenemos
300 metros ≤ x ≤ 400 metros.
The height of a tree at time t is given by h(t) = 2t + 3, where h represents the height in inches and t represents the number of months. Identify the independent and the dependent variables.
Answer:
Step-by-step explanation:
You see that 't' is the 'argument' or 'input' to h: h(t). It is always safe to assume that t is the independent variable and h is the depend
What is the solution to this system of linear equations? 2x + y = 1 and 3x - y = -6
Answer:
(- 1, 3 )
Step-by-step explanation:
Given the 2 equations
2x + y = 1 → (1)
3x - y = - 6 → (2)
Adding the 2 equations term by term eliminates the y- term, that is
5x = - 5 ( divide both sides by 5 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(- 1) + y = 1
- 2 + y = 1 ( add 2 to both sides )
y = 3
Solution is (- 1, 3 )
Answer: (-1,-3) or A on the quiz
Got it right
Have a nice day
Question 1) While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars Question 2) To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows? Question 3) Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate? 1 mile 1,609 meters.
Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.
Answer:
6n^4-10n^2+10n
Step-by-step explanation:
4 n^4+2n^4-3n^2-7n^2+9n+n
6n^4-10n^2+10n
Answer:
[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]
Step-by-step explanation:
[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]
[tex]\sf Remove \ brackets.[/tex]
[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]6n^4- 10n^2 + 10n[/tex]
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula
Answer:
a. 1350
b. 4%
Step-by-step explanation:
here is the complete question :
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
V = 1350 x 1.04^t
Answer questions a & b
a - How much money did Toni invest in pounds
b - What rate of compound interest is paid each year
the formula for calculating compound interest is given by :
V = P (1 + r)^t
P = Present value -= amount invested = 1350
R = interest rate = 4%
N = number of years = t
i hope my answer helps you
describe fully the single transformation that takes shape A to shape B
Answer:
Divide by 2 or -2
Step-by-step explanation:
The edges lengths have decreased:
4/2=2
2/2=1
6/2=3
Transformation involves changing the position and size of a shape.
The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
From the figure, we have:
The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.So, the scale of dilation from shape A to B is:
[tex]\mathbf{Scale = \frac{1}{2}}[/tex]
Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
Read more about transformations at:
https://brainly.com/question/11707700
could someone please answer 1 and 7:)
Answer:
1- %50
0.2008
Step-by-step explanation:
0.0008 1/5
(0.0008*5)+1=0.004+1=1.004/5
0.2008
→Answer:
1) 50%
7) 5.02
→Step-by-step explanation:
1)
Even if a coin is tossed many times and its still heads there is still 50% it is tails. It doesn't change.
7)
.0008 1/5 as a fraction.
So first we need to put .0008 into 1/5.
To do that we do .0008*5 which is .004.
So the fraction is now 1.004/5
To make that a decimal we do 1.004 divided by 5 which is 5.02
Jessica can paint 12 rocks in 8 minutes. How many rocks can she paint in 48 minutes
Answer:
72 rocks.
Step-by-step explanation:
A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.
Divide 12 with 8:
12/8 = 1.5
Next, multiply the number you got (1.5) with 48:
48 x 1.5 = 72
Jessica can paint 72 rocks in 48 minutes.
~
Answer:
72 rocks
Step-by-step explanation:
So let’s create the following ratio 12:8
The 12 is the amount of rocks and the 8 is the time in minutes.
So we have to find how many rocks she can paint in 48 minutes.
So we make the following ratio x:48.
So we need to find x the amount of rocks she can paint in 48 minutes.
So to find x we have to divide 48 by 8 = 6.
So if the ratio is x6 we can just do 12 * 6 which is 72.
So she can paint 72 rocks in48 minutes.
Pleaaaaase help!!!!
Answer:
see below
Step-by-step explanation:
sqrt(20)
sqrt(4*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(4) sqrt(5)
2 sqrt(5)
Answer:
We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].
Find m∠C. please help
Answer: 16.991°
Step-by-step explanation:
Used a triangle calculator hope this helped!
line plot
3.
A student builds unifix cube towers to represent the ages of the five children in her family. She places them in order from smallest to largest. She removes the shortest and tallest tower then removes the next shortest and tallest tower. The tower in the middle is remaining. This student has just found which average?
Mode
Mean
Range
Answer:
Mode
Step-by-step explanation:
The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.
So lets a student builds unifix cube towers to represent the ages of the five children as following:
3 1 2 2 4
Now the student first places them in order from smallest to largest
1 2 2 3 4
Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:
2 2 3
Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:
2
The tower in the middle is remaining i.e. 2
So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.