Answer: [tex]\frac{13}{24}[/tex]
Step-by-step explanation: 11/12 - 3/8
1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.
12: 12, 24, 36, 48, 60, 72, 84, 96
8: 8, 16, 24, 32, 40, 48, 56, 64, 72
2. Next, we will choose the smallest common multiple. That would be 24.
3. Now, we will work this out.
11/12 = 22/24
3/8 = 9/24
4. Subtract.
22/24 - 9/24
= 13/24
= [tex]\frac{13}{24}[/tex]
I found the denomenators by multiplying.
Hope this answer helped!
(1) The point R is halfway between the -6 and -5 on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
Y=8 when x=20 find y when x= 30
Answer:
y=13
Step-by-step explanation:
if x=20 when y=8 (we can creat equation )
x=2y+4 (you can prove that the equation is correct by substitute )
so the question is if x=30 find the value of y
30=2y+4
30‒4=2y
26=2y
26/2=2y/2
13=y
i hope this helps you
convert 8o liters to gallons. round answer to the nearest tenth.
Hello there! Your correct answer would be 21 gallons.
When you convert 80 liters to gallons.. It would be 21 gallons.
In a short answer... You could use google or your notes. I prefer your notes, as that'll help you much more than google.
✨ There is your answer, have a nice day! ✨
(Kinda figured you meant "80")
⌨ Please give me brainlest!! ⌨
your 6 1/4 - year investment of 40,000 at 14% compounded quarterly is worth how much now?
Answer:
The investment of $40,000 is worth $94,529.80 now
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
To calculate the final amount we use:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
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
The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.
Applying the formula:
[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]
[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]
A=$94,529.80
The investment of $40,000 is worth $94,529.80 now
I neeeeed help
Two college friends rent an apartment. They have to pay the landlord two months' rent (m) and a $500 security deposit when they sign the lease. The total amounty they pay the landlord is $2800. Create an equation which will determine the amount of money owed for rent for one month (m).
Answer:
The renters have to pay 1.5 months rent before moving in (first month plus security deposit) so we can write the following equation to represent the situation:
1.5
m
=
1725
where
m
is the amount of one month's rent.
Using algebra
1.5
m
1.5
=
1725
1.5
1.5
m
1.5
=
1150
m
=
1150
The monthly rent is $1,150.
Step-by-step explanation:
Answer:
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Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.
Answer:
6=-4x+b
Step-by-step explanation:
You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know
can someone help me to solve this question?
Answer :
Width : 9
length: 3.6
The perimeter will be 25.2
-----------------------------------------------------------------------------------------------------------------
Show your work : Since the length and width are 3 times bigger have to multiply the old one by 3
so 1.2 times 3 = 3.6
so 3 times 3 = 9
thats the length
to find the perimeter its 2L + 2W
2(3.6) + 2(9)=25.2
Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost $400. He withdrew $300, and then his remaining investment doubled. Steve's investment is now worth $8100. How much was Steve's original investment?
Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
The United States Capitol is
located at (2, 4) on a coordinate grid. The White
House is located at (-10, 16) on the same coordinate
grid. Find two different points on a segment joining
the United States Capital and the White House such
that the ratio of the two shorter segments created by
each point is 1:3.
Answer:
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Step-by-step explanation:
At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:
[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)
Where:
[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.
[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.
If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:
[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]
[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]
[tex]\overrightarrow{AB} = (-12,12)[/tex]
Besides, we can find the location of any point inside the line segment by using the following vectorial equation:
[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)
Where:
[tex]r[/tex] - Segment factor, dimensionless.
[tex]\vec C[/tex] - Location of resulting point, dimensionless.
There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:
[tex]r_{1} = \frac{1}{4}[/tex]
[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]
[tex]\vec C_{1} =(-1,7)[/tex]
[tex]r_{2} = \frac{3}{4}[/tex]
[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]
[tex]\vec C_{2} = (-7,13)[/tex]
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
How much interest would $1,000,000 earn at 2% compound daily, in one day?
Answer:
$54.79 is the answer
Step-by-step explanation:
square root of 9 on a graph
Answer:
I think the answer is 3
Needed before 12:00pm tomorrow afternoon
What's the difference between how we find the sale price of discounts and how we find the total price of tax, tips, and mark ups?
To find the actual discount, multiply the discount rate by the original amount 'x'. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.
Simplify:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]
= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]
= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30-19}{8}[/tex]
= [tex]\frac{11}{8}[/tex] → C
The simplification of the given equation is 11/8. thus option /c is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.
The absolute value function always gives a positive result, which is;
| - a | = | a | = a
Given that | 12 - 3 |/4 - | 23 -42 | /8
| 12 - 3 |/4 - | 23 -42 | /8
| 15 |/4 - | -19 | /8
= 15/4 - 19/8
= 30/8 - 19/8
= 11/8
Therefore, the simplification of the given equation is 11/8. thus option /c is correct.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
if you answer this question your cool
Answer:
D. 40
Step-by-step explanation:
Triangles add up to 180 degrees so...
110 + 30 + x = 180
140 + x = 180
x = 40
Yeah Ik!
You're cool too!
If x is 6, then 7x =
Answer:42
Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.
What is times plus 4
Answer:
you forgot the number before times
Step-by-step explanation:
slope=?
please help
Answer: It's 4
Step-by-step explanation: 12-8 is 4, 4-3 is 1
yo help plz ill give branliest
Answer:
did you get it ?
Step-by-step explanation:
Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water
Answer:
Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water
Recipe 2: 2/3tbs per cup
Recipe 3: 3/5tbs per cup
Recipe 4: 1/3tbs per cup
Step-by-step explanation:
To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.
Recipe 1: 4 tbs lemonade mix, 12c sparkling water.
4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.
Recipe 2: 4tbs Lemonade, 6c water
4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.
Recipe 3: 3 tbs lemon, 5c water
Recipe 3 requires 3/5 tablespoon per cup of sparkling water.
Recipe 4: 1 tbs, 3c water
Recipe 4 requires 1/3 tablespoon per cup of sparkling water.
Hope this helped!
6+7×4+34=56 are they equal
No its not, the equation your showing right now adds up to 68
Answer:
No
Step-by-step explanation:
6+7×4+34=56
Step 1 - (PEMDAS)
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Simplify Using PEMDAS :
7 • 4 = 28
6 + 28 + 34 = 56
68 = 56 NOT EQUAL
A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.
Answer:
x<=160Step-by-step explanation:
Step one:
given data
Charges= $400
Additional charges= $7.5 per guest
let the number of guests be x
let the total cost be y
the model for the situation is given as
y=mx+C
Step two:
given that y=1600
we can solve for x as
1600=7.5x+400
1600-400=7.5x
1200=7.5x
divide both sides by 7.5 we have
x=1200/7.5
x=160
Therefore the expected guest should not be more than 160
x<=160
Please help I’m not sure if I’m right
Answer:
C
Step-by-step explanation:
75.54*550=41,497.5
ir x+2 has a value of 5. then which of the following is the value of x(x+2)+3(x+2)? Show the work
that leads to your answer.
(1) 30
(3) 15
(2) 25
(4) 10
we are using binomials
Answer:the answer is 1)30
Step-by-step explanation:
A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.
How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?
Answer:
20 and 2020
Step-by-step explanation:
i got it right on edge
Answer:
The first answer is 20 and the second answer is 2020
Step-by-step explanation:
I just answered it on edge
20
22
89
___*_ what is 20 times 22 times 89
Answer:
39,160
Step-by-step explanation:
20x22=440 x89=39,160
j + 150 × 50 is a(n) ______ expression, because ______.
I’ll mark brainliest this is 10 points!!!
Question: If p and q are integers, then all of these quotients are equivalent, except....?
Answer:
C
Step-by-step explanation:
We can fill in the negative in front of the parenthesis with a one. So you'd be multiplying -1 by your negative fraction. A negative times a negative makes a positive. So that would be the only answer that's a positive.
Could you help me with these?
Step-by-step explanation:
Molly should have multiplied three first so that it would have been
x + 6 + 3x + 12
4x + 18
Dylan did not add x to 5x
it should have been
6x - 12
Jose did not multiply 7 and -5
it should have been
x + 3 + 7x - 35
8x - 32
Arisia puts $500.00 into a savings account with an annual simple interest rate of 4.5%.
Part A
How much interest does she earn per year?
Answer:
$22.50
Step-by-step explanation:
$500.00 × 0.045=22.50
Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts
I don't know the correct answer but I know its not 0.60 watts
Answer:
it is 3.6 watts
Step-by-step explanation:
there is no explanation but if needed proof i will try to post a picture of it