Answer:
A maximum of 43 students and 11 teachers can go to the trip.
Step-by-step explanation:
Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:
4 + 1 = 5
54/5 = X
10.8 = X
10 x 4 = 40
10 x 1 = 10
4 - 1 = 3
Therefore, a maximum of 43 students and 11 teachers can go to the trip.
Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.
Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting [tex]r=9,t=3[/tex] in the above formula, we get
[tex]I=\dfrac{P\times 9\times 3}{100}[/tex]
[tex]I=\dfrac{27P}{100}[/tex]
[tex]I=0.27P[/tex]
We know that,
[tex]\text{Amount}=\text{Principal + Interest}[/tex]
[tex]9144=P+0.27P[/tex]
[tex]9144=1.27P[/tex]
Divide both sides by 1.27, we get
[tex]\dfrac{9144}{1.27}=P[/tex]
[tex]7200=P[/tex]
Therefore, the principal value is Rs. 7200.
Find the measure of FG
Answer:
D. 7
Step-by-step explanation:
I guessed on it because i had the same problem and then i checked and it was right!
[tex]\boxed{\text{Solve for 'x'.}}\\\\\frac{x+3}{6}=\frac{2}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 1[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\\frac{x+3}{6}=\frac{2}{3}\\\----------\\\rightarrow (\frac{x+3}{6})6=(\frac{2}{3})6\\\\\rightarrow x + 3 = 4\\\\\rightarrow x + 3 - 3 = 4 - 3\\\\\rightarrow \boxed{x=1}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 1
Step-by-step explanation:
( x + 3 ) / 6 = 2 / 3
Step 1 Cross multiply
( x + 3 ) * 3 = 3x + 9
2 * 6 = 12
We now have 3x + 9 = 12
Step 2 Subtract 9 from both sides
3x + 9 - 9 = 12 - 9
9 - 9 cancels out
12 - 9 = 3
We now have 3x = 3
Final step; divide both sides by 3
3x/3 = x
3/3 = 1
We're left with x = 1
To check our answer we can plug in 1 for x in the expression
( x + 3 ) / 6 = 2 / 3
Substitute 1 for x
1 + 3 / 6 = 2 / 3
Simplify addition
4/6 = 2/3
Simplify fraction
2/3 = 2/3 ✓
A truck was carrying 10 bags of sugar. Each bag weighed 50kg. Calculate the total mass of sugar on the truck. Write your answer in grams.
Answer:
1beg-------------50kg
10beg------------x
x=500kg to grames 500×1000=500000grams
Answer:
500000g
Step-by-step explanation:
first of you multiply the 50kg with the 10 bags
which gives 500kg
then you convert 500kg to grams
which is 500kg/1×1000g/1kg
when you cancel out the kg what is left is to multiply both sides and then you get 50000g.
Three fourths of the offspring of two fruit flies have short wings, while the rest have wild-type wings . In a batch of offspring from those two flies, 100 have wild-type wings. How many of the flies have short wings?
Answer:
300
Step-by-step explanation:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. This means that the number of offspring that have short wings must be [tex]\frac{3/4}{1/4}=\frac{3}{4}\cdot \frac{4}{1}=3[/tex] times larger than the number of offspring that have wild-type wings. Since there are 100 offspring who have wild-type wings, there must be [tex]100\cdot 3=\boxed{300}[/tex] that have short wings.
Alternative:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. Therefore, 100 represents one-fourth of the total number of offspring, meaning there must be [tex]100\cdot 4=400[/tex] offspring total. Thus, there are [tex]400-100=\boxed{300}[/tex] offspring with short wings.
One more, again I aplolgize!
Identify the solid.
A.
pentagonal prism
B.
dodecahedron
C.
hexahedron
D.
hexagonal prism
Answer:
I would say it is D
Step-by-step explanation:
Find the inverse function f−1(x) for the function f(x) = 3x − 2. (2 points)
Answer:
X+2/3
Step-by-step explanation:
YOU TAKE THE PROBLEM AND FLIP IT AND YOU GET X+2/3
Answer:
f⁻¹(x) = [tex]\frac{x+2}{3}[/tex]
Step-by-step explanation:
How do u find the area of a kite using coordinates?
Answer:
What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
If I worked 8 hours and 49 minutes but my paycheck was only 97.17$ what was my hourly wage.
Answer:
11.021$
Step-by-step explanation:
49min to hr=49/60=0.816
now total worked hrs =8hr +0.816hr=8.166hr
now 1hr wage =97.17$/total hr(8.166)=11.021$
3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder
Answer:
Lateral surface area= circumference*height
120=12*h
h=10cm
Answer:
h=10 cm
Step-by-step explanation:
cicumference of a circle C=2πr=12
lateral surface area of cylinder=2πrh
120=12h
h=120/12=10 cm
A scuba diver dove (-50) feet deep into the water. After every 2 minutes he rose (+2) feet toward the water surface. How deep in the water was he after 12 minutes.
Plz answer this !ASAP !
Answer:
-38. I did something like this before
A storage drum has a diameter of 7 feet and a height of 4 feet 3 inches how many gallons of chemicals cleaner can this drum hold
Answer:
The answer is "1223.42 gallons".
Step-by-step explanation:
Given:
[tex]Diameter\ (d)= 7\ feet\\\\r=\frac{d}{2}=\frac{7}{2}=3.5\ feet\\\\h= 4\ feet\ 3\ inches\ = 4.25 \ feet \\\\[/tex]
Using formula:
[tex]Volume = \pi r^2h[/tex]
Put the value into the above formula:
[tex]= \pi (3.5)^2 (4.25)\\\\= 3.14 \times12.25\times (4.25)\\\\= 3.14 \times 52.0625 \\\\=163.47625\\\\= 163.56 \ feet^3\\\\= 163.56 \ feet^3[/tex]
[tex]\therefore \\\\1 \ foot^3 = 7.48051945\ US\ gallons\\\\[/tex]
Final answer:
[tex]\to (163.56)(7.48) = 1223.42\ gallons[/tex]
Can someone help me with this math problem please?
Answer:
C
Step-by-step explanation:
g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.
f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.
The answer is c
y Given: 6x + 7 = 8x - 17; Prove: x = 12
On the left aide is the equation solved step by step and on the right side is where you have to explain what you did to do that equation..(in each column just say what property you used to solve it..Distributive Property, Subtraction Property, Addition Property, Division Property, Multiplication Property etc..)
REASONS:-
1ST STEP
[tex]6x + 7 = 8x - 17 [/tex]
GIVEN LHS = RHS
2ND STEP
[tex]7 = 2x - 17[/tex]
Bez +ve 6x when move to another side will change to -ve so it reduces 8x to 2x
3RD STEP
[tex]24 = 2x [/tex]
Bez -ve 17 when move to another side will change to +ve so it increases 7 to 24
4TH STEP
[tex]12 = x[/tex]
Bez 2 in multiplication when move to another side will change to division so it reduces 24 to 12
5TH STEP
[tex]x = 12[/tex]
it the answer we obtained after solving
Instructions: Find the missing side. Round your answer to the nearest tenth.
53 and 10
Answer:
8
Step-by-step explanation:
10sin(53) = 7.986... = 8.0
La sombra que proyecta un edificio es de 16 m si el coseno del ángulo que se forma entre la punta de la sombra y el techo del edificio es 16/20 cual es la altura del edificio
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
Find z, the total impedance, of each circuit. Express your answer in standard form
Answer:
a. 7 Ω
b. 5 Ω
c. 4.472 Ω
Step-by-step explanation:
a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.
So, z = R + R' = 4 Ω + 3Ω = 7 Ω
b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)
z = √((4 Ω)² + (3 Ω)²)
z = √(16 Ω² + 9 Ω²)
z = √(25 Ω²)
z = 5 Ω
c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]
z = √((4 Ω)² + (3 Ω - 1 Ω)²)
z = √(16 Ω² + (2 Ω)²)
z = √(16 Ω² + 4 Ω²)
z = √(20 Ω²)
z = √(4 × 5) Ω
z = √4 × √5 Ω
z = 2√5 Ω
z = 4.472 Ω
Given that line AD is the angle bisector of
Step-by-step explanation:
3x+1 = 5x-1
3x+2= 5x
2x= 2
x= 1
Solve x4 – 2x2 – 24 = 0.
Answer: 7
Step-by-step explanation:
Using the Slope-Intercept form, find the equation of a line that has a slope of 3 and y - intercept (2)
Answer:
y = 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 and c = 2 , then
y = 3x + 2 ← equation of line
mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 10.
Answer:
10÷5 = 2, 2+2 =4, answer is 4
Ajmal has filled 5 boxes with marbles. He claims that at least 60% of the marbles in each box are red marbles. The table below shows the number of red marbles and the total number of marbles in all boxes.
Answer:
There is no table below, so how to figure it out? Huh???
Step-by-step explanation:
simplify the expression and choose the best choice
Answer:
D
Step-by-step explanation:
[tex]\sqrt{3^{15} }[/tex]
[tex]\sqrt{3*3*3*3*3*3*3*3*3*3*3*3*3*3*3}[/tex]
[tex]\sqrt{3^{14} * 3}[/tex]
[tex]\sqrt{((3^7)^2)*3}[/tex]
[tex]3^{7}[/tex][tex]\sqrt{3}[/tex]
Reflect shape A in the line y = 3
Answer:
Step-by-step explanation:
just draw the triangle but flipped over the red line
sorry for the bad drawing
The vertices of triangle A' after reflection on line y=3 are (1, 5), (4, 5) and (4, 3).
What is the reflection on x-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
In the given graph, vertices of triangle A are (1, 1), (4, 1) and (4, 3).
After reflection on line y=3, we get
Vertices as (1, 5), (4, 5) and (4, 3)
Therefore, the vertices of triangle A' after reflection on line y=3 are (1, 5), (4, 5) and (4, 3).
To learn more about the reflection over x-axis visit:
https://brainly.com/question/15175017.
#SPJ2
Find UT given the base?
Answer:
19
Step-by-step explanation:
[tex] In \:\triangle HGI[/tex]
HU = UG & HT = TI (Given)
Therefore, U and T are the midpoints of sides HG and HI respectively.
So, by mid point formula:
[tex] UT = \frac{1}{2} GI \\ \\ UT = \frac{1}{2} \times 38 \\ \\ UT = 19 [/tex]
Where should you place the needle of your compass in the first step of an angle bisection?
Answer:
Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
Answer:
1: (D)
2: (A)
3: (D)
4: (B)
5: (A)
Step-by-step explanation:
Question 1:
The local minimum is the lowest point in an area/interval of the function. That means the y-value will be the lowest, so it's either (-2, -15) or (2, -15). However, only (2, -15) is listed as an answer choice, so that's your answer.
Question 2:
The graph starts at the x-value of 0 and continues forever as x increases positively. The answer is x >= 0.
Question 3:
The first term of the sequence if -1.5, so replace n with 1:
f(1 + 1) = -2f(1)
Then replace f(1) with -1.5:
f(2) = -2 * -1.5
f(2) = 3
The next term of the sequence is 3.
Question 4:
On the graph, there are two different outputs (y-values of 3 & -2) for one input (x-value of 1). You can either remove (1, 3) or (1, -2), but since only (1, 3) is listed as an answer choice, that's your answer.
Question 5:
The formula represents the conversion from Fahrenheit to Celsius, so C(76.1) would be the temperature of 76.1 degrees Fahrenheit being converted to degrees Celsius since Kareem stated in the question that 76.1 was degrees Fahrenheit.
Hope this helps (●'◡'●)
What is 125x^9+64y^12 written as sum of cubes
Answer:
33
45
ety
fyjfb
fgnf
ffjn
34
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
1) (-2, 0)
2) (2 , 0)
3) (0, -4)