Answer:
x=6.2
Step-by-step explanation:
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
6x-12+3x+1=5x+21-x-1
combine like terms:
9x-11=4x+20
move variables to same side by sub 4x and add 11
5x=31
x=6.2
Mercedes takes out a loan for $ 10 , 000 at a simple interest rate of 3.5 % to be paid back in 42 monthly installments. What is the amount of the monthly payments?
Answer:
The amount of monthly installments is $267.30
Step-by-step explanation:
Here, we are interested in calculating the amount of the monthly is installments.
To get the amount of the installments, we need to calculate the sum of the interest and the amount borrowed.
Mathematically,
Simple interest = PRT/100
from the question;
P = principal which is the amount borrowed = $10,000
R = rate = 3.5%
T = time = 42 months = 42/12 = 3.5 years
Substitute these values into the formula for simple interest;
We have ;
S.I = (10,000 * 3.5 * 3.5)/100 = $1,225
So the total amount to
payback = interest + principal = 1225 + 10,000 = 11,225
So the amount of installments will be ;
The amount to payback/number of months
Mathematically that would be ; 11,225/42 = $267.26 which is approximately $267.30 per month
2y=12+4y please show work
Answer:Step 1: Simplify both sides of the equation.
2y=4y+12
Step 2: Subtract 4y from both sides.
2y−4y=4y+12−4y
−2y=12
Step 3: Divide both sides by -2.
−2y
−2
=
12
−2
y=−6
Answer:
y=−6
Step-by-step explanation:
Joshua wants to make cookies. To make cookies, he needs 1 1/8 cups of flour per batch of cookies. Joshua has 18 cups of flour. How many batches of cookies can he make? *
Answer: He can make 16 batches of cookies.
Step-by-step explanation:
Given: . To make cookies, Joshua needs[tex]1\dfrac18[/tex] cups of flour per batch of cookies.
i.e. 1 Batch requires =[tex]1\dfrac18[/tex] cups of flour
=[tex]\dfrac{9}{8}[/tex] cups [convert mixed fraction to improper fraction.]
Now if 1 batch = [tex]\dfrac{9}{8}[/tex] cups (i)
Then, 1 cup = [tex]\dfrac{8}{9}[/tex] batch. (ii) [Multiply (i) by [tex]\dfrac{8}{9}[/tex] ]
Joshua has 18 cups of flour.
That means , 18 cup = [tex]18\times\dfrac{8}{9}=2\times8=16[/tex] batch. [Multiply (ii) by 18]
∴ He can make 16 batches of cookies.
can you plz help me with this question 2p=74
Answer:
p = 37
Step-by-step explanation:
divide 2 on both sides:
p = 37
Hope this helps!
Answer:
p=37
Step-by-step explanation:
74 ÷ 2 = 37
2×37 = 74
74 = 74
make me brainliest pls
(6x²y³)²
108x⁶y
Can someone help me on this one?
Answer:
oh wow i rlly wish i know the answer to this im sorry
Algebra 1: A bookstore sells paperback fiction books in excellent condition for $2.50 and in fair condition for $0.50. Write an expression for the cost of buying 'x' excellent-condition paperbacks and 'f' fair-condition paperbacks. A) 2.50x + 0.50f B) 3.00 (x + f) C) 2.50f + 0.50c D) 3.00 + x+
Answer:
Step-by-step explanation:
Do you know who Creati is? He deleted all of my progress and a bunch of other peoples, so I'm trying to get a lot of points and start a protest.
if UW=6x-35,find what UW is
Answer:
Well, based on what is provided, I can't be sure that this will be right. If that's all that's given on your worksheet, then the answer should be 5.83
Step-by-step explanation:
Reason why I don't think this is correct is because there's usually two sets to deal with. Which with this, there's only one? I guess if that's the case, then flip the 35 to the other side of the equal sign and divide 35 by 6. that's what gets us 5.83. Please check your paper again to make sure you didn't miss the other side of the equation, because I don't want you to get this wrong over a little mistake.
Find the value of x
Answer:
x=35
Step-by-step explanation:
Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees
Evaluate the expression. -12 divided by 4 - 6
Answer:
-9
Step-by-step explanation:
Hope this helps.
angie read 3 books in 5 days and each book contains 410 pages if angie reads if angie read the same number of books each day how may pages did she read a day
a.90
b.410
c.1,230
d.246
Answer:
D-246 pages.
Step-by-step explanation:
To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.
ANSWER 246
410*3(books)=1230 /5(days) =246
Factor. x^2-11xy-12y^2
Answer:
(x-12y)(x+y)
Step-by-step explanation:
what 2 numbers have a sum of -10 and a difference of -2?
Answer:
-6 and -4
Step-by-step explanation:
-6 + -4 = -10
-6- - 4 = -2
Scientific Notation
7.28 x 10^10
Answer:
72800000000
Step-by-step explanation:
7.28 * 10^10 = 72800000000
Answer:
7.28 × 10^10 = 72800000000..
If this answer helps you plz mark as brainlist..
. Una distribución de probabilidades permite organizar todos los resultados posibles de
una variable aleatoria junto con sus correspondientes probabilidades de ocurrencia.
El valor esperado E(x) de una variable aleatoria discreta se calcula multiplicando
cada valor que esta puede asumir por su probabilidad de ocurrencia y luego
sumando los productos.
La siguiente tabla muestra la distribución de probabilidades correspondiente al
tiempo (en minutos) que demora una computadora en recuperarse luego de una
falla. ¿Cuál es el tiempo más probable de espera para volver a utilizar la
computadora?
Tiempo (x) 2.0 3.0 4.0 5.0
Probabilidad P(x) 0.10 0.30 0.10 0.50
Answer:
i don't understand Spanish ._.
Step-by-step explanation:
man I wish I understand you ._.
You have three consecutive odd integers. Four times the smallest decreased by 5 is the same as the largest increased by 12. What is the smallest of the integers?
Answer:
The smallest of the integers is 7
Step-by-step explanation:
Let the integers be x, y and z
From the question, the integers are consecutive odd integers.
Hence,
If the smallest of the integers is x and the largest is z, then we can write that,
x + 2 = y and
y + 2 = z
Then, x + 2 + 2 = z
∴ x + 4 = z ....... (1)
From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is
4x -5 = z + 12 ....... (2)
Put the value of z = x + 4 in equation (1) into equation (2),
We then get
4x - 5 = x + 4 + 12
4x - x = 4 + 12 + 5
3x = 21
x = 7
Hence, the smallest of the integers is 7
The other integers are 9 and 11 ( y= 9 and z = 11)
4 + (-2) third power.
Answer: 6
Step-by-step explanation:
When you add a negative you subtract the opposite (4-2)
(4-2)^3
2^3
2+2+2
6
a rectangular hallway has dimension 6 feet by 18 feet. it is to be tiled with squares tiles, each with the dimension 2/3 feet by 2/3 feet. How many tiles will you need?
We need to find the area of the hallway. To find the area of a rectangle, simply multiply the length and width together.
6ft * 18ft = 108^ft
Now, let's find the area of the square tiles. To find the area of a square, simply square one side.
(2/3ft)^2 = 4/9ft^2
To find out how many square tiles are necessary to tile the hallway, lets divide the area of the hallway by the area of one square.
108ft^2 / (4/9ft^2) = 243 tiles
If a numser has an even exponent can it ever be negative when it is simplified?
Explain.
Answer: No, it can never be negative.
==================================================
Explanation:
Consider the expression x^2
If x were some negative number, say x = -3, then
x^2 = (-3)^2 = 9 which is a positive result.
Picking any negative number for x will make x^2 positive.
We can think of it like this
(-3)^2 = (-3)*(-3) = 9
The two negatives multiply to a positive.
This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.
A surveyor is surveying a street. The surveyor is standing at point P looking down the street at a No Parking sign at point C and a Stop sign at point R. Given PC = 6x-5 meters, PR = 29 meters, CR = 7 meters, and point C is between P and R, what is xin meters?
Answer:
4.5 metresStep-by-step explanation:
If point C is between P and R, then PC+CR = PR.
Given PC = 6x-5
CR = 7 and PR = 29
Required
Find the value of x in metres
Substitute the given values into the formula;
6x-5+7 = 29
6x+2 = 29
subtract 2 from both sides
6x-2+2 = 29-2
6x = 27
Divide both sides by 6
6x/6 = 27/6
x = 27/6
x = 9/2
x = 4.5 metres
Hence the value of x in metres is 4.5metres
You can not multiply a fraction by a whole/integer number. is it true or false?
True
false
In Usatestprep.
Answer:
False
Step-by-step explanation:
As an example
[tex]\frac{1}{2}[/tex] × 6 = 3
Thus a fraction can be multiplied by a whole number/ integer
How does temperature affect phase changes?
How many minutes are there in a week, if a week has 7 days, each day has 24 hours and each hour has 60 minutes?
Answer:
10,080 minutes
Step-by-step explanation:
7 x 24 x 60 = 10,080
Solve for y.
15y - -9y + -10y = 14
y =
Submit
Answer:
I think y=1
Step-by-step explanation:
15y+9y= 24y
24y-10y=14y
divide 14y by 14 and get just y and divide 14 by 14 to get one
y=1
1. Translate: A number divided into 4 2. Translate: The sum of 2/3 and a number 3. Translate: Drew is "n" years younger than Joe who is 9 years old
Answer:
1. x/4
2. 2/3+x
3. 9-n
Step-by-step explanation:
1. "A number" is an unknown value, so we set that as the variable. When a number is being divided, it's the divisor in a division problem (the first number)
2. The "sum" is the answer to an addition problem (like how the "quotient" is the answer to a division problem), which is why we know to add. Again, "a number" is the unknown value so we set that as the variable.
3. Because Drew is "n" years younger than Joe, Joe's age - n = Drew's age. The question tells us that Joe is 9 years old, so the expression would be 9-n.
I hope this helps! If it does, a brainliest would be much appreciated :)
Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
Write an expression to represent Max's number.
IF I DONT GET THIS RIGHT IM GETTING AN F HURRY PLZ
Answer:
3.2
Step-by-step explanation:
3.2/1
What’s the second step of 2(x+1) =8x-5
Answer:
2(x + 1) = 8x - 5
assuming you already made the first step, the next step is to distribute the 2
2x + 2 = 8x - 5
if you havent made the first step, above is the first step.
the second step would be to combine like terms by subtracting 2x and adding 5 to both sides
7 = 6x
then you would divide both sides by 6
x = 7/6
Solve for d:
df + 5d = h
Answer:
d=hf+5
Step-by-step explanation:
Step 1: Factor out variable d.
d(f+5)=h
Step 2: Divide both sides by f+5.
d(f+5)f+5=hf+5
d=hf+5
solve for Q
-392 = 28q
Answer:
14
Step-by-step explanation:
-392=28q
-392÷28=14
How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?
none
two
four
an infinite number
Answer:
4
Step-by-step explanation:
solution: −√10<x<−2 or 2<x<√10
√10=3.16
-3,-2,2,3
The 2 and -2 are the integers satisfy the inequality.
It is required to find the number of integers .
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
For (x²– 4)< 0;
x²<4
By taking the square root of both sides we have,
√x²<√4
x < ±2
x<2 and x<-2
Also,
x²<10
By taking the square root of both sides we get,
√x²<±√10
x < ±√10
x<√10 and x<-√10
The √10 is not an integer but an irrational number. An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
So we can't take the integer of ±√10.
Therefore, the 2 and -2 are the integers satisfy the inequality.
Learn more details about inequality here:
https://brainly.com/question/20383699
#SPJ2
What is the y-intercept of the function f(x)=4 – 5x?
Answer:
The y intercept is 4