Answer:
1/8
Step-by-step explanation:
1/2= 4(1/2) = 4/8
4/8+3/8= 7/8
7/8 + 1/8 = 1
What is the common denominator of 13/24 + 7/12?
Answer:
The common denominator of 13/24 and 7/12 would be 12.
Step-by-step explanation:
The least common factor of 24 and 12 is 12.
write the equation in vertex form: Vertex is (1.-3) and passes through the point (-1,5)
Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
What is the inverse of the function f(x) = x + 3?
Answer:
[tex]h(x)=x-3[/tex]
Answer:
h(x) = x-3
Step-by-step explanation:
y = x+3
Exchange x and y
x = y+3
Solve for y
Subtract 3 from each side
x-3 = y+3-3
x-3 =y
The inverse is x-3
1.£500 is deposited in a bank paying 2% compound interest per annum. What is the balance after 2 years?
2.£400 is deposited in a bank paying 1.75% compound interest per annum. What is the balance after 2 years?
3.£800 is deposited in a bank paying 7% compound interest per annum. What is the balance after 2 years?
4.£700 is deposited in a bank paying 4.75% compound interest per annum. What is the balance after 6 years?
5.£4600 is deposited in a bank paying 3.75% compound interest per annum. What is the balance after 5 years?
6.£6000 is deposited in a bank paying 13% compound interest per annum. What is the balance after 4 years?
7.£200 is deposited in a bank paying 0.75% compound interest per annum. What is the balance after 2 years?
8.£7100 is deposited in a bank paying 15.75% compound interest per annum. What is the balance after 13 years?
9.£6600 is deposited in a bank paying 16.75% compound interest per annum. What is the balance after 15 years?
10.£8600 is deposited in a bank paying 15% compound interest per annum. What is the balance after 17 years?
Formula for compound interest: A = P( 1 + r/n)^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
^ = I used this symbol to present that a the number needs to go higher (see picture)
1. 500(1 + 2/100)^2 = 520.2
£520.20
2. 400(1 + 1.75/100)^2 = 414.12
£414.12
RSTU is a kite, m∠R= 130, and m∠S=80. Find m∠T.
a. 70
b. 80
c. 35
d. 65
Answer:
70°
Step-by-step explanation:
RSTU is a kite,
m∠R= 130m∠S=80m∠T=?Sum of 4 internal angles= 360°
m∠U=m∠S=80
m∠T= 360° - (130°+80°+80°)= 70°
Work out the size of angle x and give reasons for your answer. Image attached.
Answer:
The value of X is 75°
<EFB +105°=180° (Being straight line)
<EFB=180-105
<EFB= 75°
X = <EFB = 75°. (corresponding angle)
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to the nearest tenths place?
Answer:
[tex]2262.20 in^3[/tex]
Step-by-step explanation:
Given data
height of cylinder h= 20 in
base radius r= 6 in
We know that the formula for the volume of a cylinder is expresses as
[tex]volume= \pi r^2h[/tex]
Substituting our data into the expression we have
[tex]volume= 3.142*6^2*20\\volume= 2262.24 in^2\\[/tex]
To the nearest tenth we have the volume to be
[tex]2262.20 in^3[/tex]
Answer: 2261.9
use volume of a cylinder formula
Substitute Variables into formula
Multiply
Then round to the nearest 10th
Which point is in the solution set of the system of inequalities
shown in the accompanying graph?
A. (0,4)
B. (2,4)
C. (-4,1)
D. (4,-1)
Answer: Option c.
Step-by-step explanation:
The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.
Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)
You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.
Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.
The point (-4, 1) is in the solution set of the system of inequalities.
An inequality shows the non equal comparison between two numbers or variables.
Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.
The dark shaded portion is the solution of the inequality.
From the graph the point (-4, 1) lies on the dark shaded portion.
Therefore the point (-4, 1) is in the solution set of the system of inequalities.
Find out more at: https://brainly.com/question/25285332
Calculate the exact value of
70/15 × 14/5
Answer:
14^2/15
Step-by-step explanation:
70/15 simplifies to 14/3
14/3 X 14/5
= 14^2/15
A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+325. What is the independent variable and its units? ______ (meters, seconds, meters per second, or seconds per meters) - select the correct units What is the dependent variable and its units? _______ (seconds or meters) - select the correct units
Answer:
see below
Step-by-step explanation:
h(t)=−4.9t2+100t+325.
The independent variable is the one that we change
t which is in seconds
The dependent variable is the result
h(t) which is in meters
let f be defined as follows f(x)=4x find f^-1(x)
Answer:
So this is the inverse function
Please say ---- solve for the inverse f(x)
instead of ---- solve for f^-1(x)
x/4 division is the opposite of multiplication
so instead of multiplying by 4 we divide by 4
:)
Thanks for the question, Im working up to get a brainly answer and Master Answerer.
:)
Step-by-step explanation:
Sonia works at a bakery. The function
Answer:
I think the function is that she is working.
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $ j $jdollar sign, j fare among the 3 33 of them. Angela also paid a $ 5 $5dollar sign, 5 tip.
Answer: $J/3 + $5
Step-by-step explanation:
Here is the complete question:
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of them. Angela also paid a $5 tip. How much did Angela pay in total?
Write your answer as an expression.
Answer:
From the question, we are told that Angela shared a cab with her friends and when they arrived at their destination, they shared equally the $j fare among the 3 of them while Angela also paid a $5 tip.
The total number of friends are =3
The amount of fare = $ J
The fare is equally divided among the friends, therefore each friend will pay: $J/3
Angela paid $5 additional as a tip, therefore, her share will be: J/3 + 5
Therefore, Angela will pay $J/3 + $5
Describe and correct the error in finding the solution
(look at picture for problem)
Answer:
divide both sides by 2
Step-by-step explanation:
To what unit rate does 96/12 simplify?
A.8/1
B.9/1
C.10/1
D.12/1
Answer:
A. 8/1
Step-by-step explanation:
96/12=8
12/12=1
Therefore, the answer is 8/1. Have a good day!
8/1 is the unit rate of the fraction 96/12, option A is correct.
The given fraction is ninety six by twelve
96/12
Let us find the unit rate of 96/12
we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.
96 divided by 12 is 8
and 12 divided by 12 is 1.
So 96/12 is equal to 8/1
Therefore, the simplified form of 96/12 is 8/1.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ6
8. The difference between two numbers is 14. If 1/3of the larger number is subtracted from the smaller number, the
result equals 1/10 of their sum. Find both numbers.
Answer:
The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.
Step-by-step explanation:
Solve 4x -1 = 3x – 5 pls answer
Answer:
[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Equation: [tex]4x - 1 = 3x - 5[/tex]
Solve for:
[tex]x[/tex]
Solution:
Step 1: Select relevant approach:
Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]
Step 2: Perform the calculation:
[tex]4x - 1 = 3x - 5[/tex]
Moving components:
<=> [tex]4x - 3x = 1 - 5[/tex]
Performing simplification to get [tex]x[/tex]
<=>[tex]x = -4[/tex]
Hope this helps!
:)
Find the slope of the line that passes through (10, 3) and (1, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: -7/9
Step-by-step explanation:
10-3
1-10
The slope of the line is - 7/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
solve ....... x/2 = 7
Answer:
x=14
Step-by-step explanation:
x/2=7
*7 on both sides
x=14
Answer: x=14
Step by step explanation:
Step 1: Multiply both sides by 2.
X/2*2=7*2
X=14
It was easy as that:D
I don’t understand how to find the median of the triangle.
Answer:
9
Step-by-step explanation:
You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y
Simplify to get...
16y = 18(y-1)
16y = 18y - 18
-2y = 18
y = 9
LAST QUESTION!!WILL GIV BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!
Using the segment addition postulate, find the value of x.
HI = 6x + 8
IJ = 2x - 4
HJ = 124
A) 15
B) 16
C) 9
HINT THAT I WAS GIVEN: The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.
Answer:
A. 15
Step-by-step explanation:
HI and IJ are both segments in the line HJ so HI and IJ combined equal the total length of HJ. This means we can write an equation using HI and IJ and setting them equal to HJ.
6x + 8 + 2x - 4 = 124
next step is to combine like terms:
8x + 4 = 124
then, subtract 4 from both sides.
8x + 4 = 124
-4 -4
8x = 120
finally, divide both sides by 8.
8x/8 = 120/8
x = 15
since it is equal to x, 15 is your solution!
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Write your answer in the space below.
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Write your answer in the space below.
3. Write the system of equations using your answers from questions 1 and 2.
Write your answer in the space below.
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
Write your answer in the space below.
5. Solve the system of equations. Show your work.
Write your answer in the space below.
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Write your answer in the space below.
9514 1404 393
Answer:
6 days210 pagesStep-by-step explanation:
1. The number of pages (y) Amir reads in x days is ...
y = 35x
__
2. Jessie has been reading 1 more day than Amir, so an expression for the number of days Jessie has been reading is ...
x +1
The number of pages Jessie has read is ...
y = 30(x +1)
__
3. The system of equations is the two of these equations written together:
y = 35xy = 30(x +1)__
4. Using substitution to solve this, we find it convenient to substitute for y. Either equation provides an expression for y that can be substituted into the other equation. After substitution, the equation looks like ...
35x = 30(x +1)
__
5. We can subtract 30x from both sides and divide by 5 to solve.
35x -30x = 30(x +1) -30x
5x = 30x +30 -30x
5x = 30 . . . . simplified form after subtracting 30
x = 6 . . . . . . .result of dividing both sides by 5
y = 35x = 35·6 = 210
(x, y) = (6, 210)
__
6. It takes Amir 6 days to catch Jessie. At that time, both will have read 210 pages.
A single card is drawn at random from a standard 52 card deck.
Work out in its simplest form:
P(10)
=
P(not 10)
=
There are four 10 cards in the deck, so P(10) = 4/52 = 1/13
P(not 10) = 1 - P(10). This is because the maximum probability is 1, and the card you draw will either be 10, or not a 10.
P(not 10) = 1 - 1/13 = 13/13 - 1/13 = 12/13
Solve and graph the solution of this inequality 4/9×-10>×/3-12
Step-by-step explanation:
4/9x-10>x/3-12
3 4/9x-3 10>x/3-12
4/3x-10>x-12
3 4/3x-3(10>x)-3(12)
4x-30x<-36
26x<-36
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
each time the step changes, the amount of vertices(points) increases by 1. the last number of points was 4, so if you increase 4 by 1 you will get 5. figure B has 5 points!
Answer:
Option B
Step-by-step explanation:
With the circle series, there is a figure with an increasing number of points that are on the circle.
Circle one has two dots, circle two has three dots, circle three has four dots, etc.
It would make the most sense if the circle in the next series have five dots.
Option B should be the correct answer.
Solve the linear equation. 7x +10 = 18x − 1
Answer:
x =1
Step-by-step explanation:
7x + 10= 18x -1 ==> 7x - 18x = -1 -10 ==> -11x = -11 ==>x = 1
7x+10=18x-1
+1. +1
7x+11=18x
-7x. -7x
11=11x
Divide it all by 11
1=x
X=1
What can be concluded about the sequence 19, 15, 11, 7, . . . represented on the graph? Check all that apply. The common difference of the sequence is the same as the slope of the graph. The slope of the graph is –4. The next term in the sequence is represented by point (4, 3). f(x) = –4x + 19 represents the sequence. An infinite number of points can be determined to follow this sequence.
Answer:
3, -1
Step-by-step explanation:
the answer is A,B,E
i took the test
Please help me simplify these expressions
Answer:
32•z^4•s^7
20w^9
Step-by-step explanation:
We simply use the multiplication law of indices to work these out.
1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7
2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9
I know this is a SUPER easy question, i’m just dumb. Question in photo.
Answer:
Quadrant III (Answer C)
Step-by-step explanation:
(4, 7) is in Quadrant I. Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).
Answer:
Quadrant 3 (Answer C)