3x+5(4x-6)-8=3x-14
Step-by-step explanation:
Cancel out the terms on both sides of the equation. (3x)
5(4x-6)-8=-14
Distribute 5 through the parentheses.
20x-30-8=-14
Calculate the difference.
20x-38=-14
Move the constant to the right-hand side and change its sign.
20x=-14+28
Calculate the sum.
20x=24
Divide both sides of the equation by 20.
x=6/5, 1.2, or 1 1/5
Answer:
x=6/5, 1.2, or 1 1/5
Hope this helps! :)
Please help giving out brainliest
6(5-3n)-6n=-90
Answer:
n = 5
Step-by-step explanation:
I think you know the rest
Which value is an input of the function? –14 –2 0 4
Answer:
the value is 4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Find the sum
2/3 + [-1/3]
Answer:
1/3
Step-by-step explanation:
2 - 1 is 1
Denominator stays the same
Answer:
1/3
Step-by-step explanation:
when adding and subtracting fractions you need to make sure there is a common denominator (same number on the bottom of the fractions). luckily these fractions already have that so you just add them! when they have a common denominator the number stays the same. so 3+3 in this equals 3 lol
2+(-1) = 1
Hunter invested $580 in an account paying an interest rate of 4.6% compounded monthly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 19 years?
Answer: 1388
Step-by-step explanation:
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + R/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The amount in the account after 19 years is $1388.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + R/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $580
R = 4.6%
n = 12 ( compounded monthly)
t = 19 years
Now,
Convert R as a percent to r as a decimal
r = R/100
r = 4.6/100
r = 0.046 rates per year,
Now,
A = P [tex](1 + R/n)^{nt}[/tex]
A = 580 [tex](1 + 0.046)^{12\times19}[/tex]
A = 580 [tex](1.0046)^{228}[/tex]
A = $1,387.64
Rounding to the nearest dollar we get,
A = $1388
Thus,
The amount in the account after 19 years is $1388.
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Lynn plotted point G, 3 units to the left and 2 units above point F. Where did lynn plot point G?
Answer:
[tex]G = (2,6)[/tex]
Step-by-step explanation:
See Attachment for Complete Question
From the attachment, we can see that F is plotted at
[tex]F = (5,4)[/tex]
On the x axis, G is 3 units to the left;
And on the y axis, G is 2 units above
So, the coordinates of G is calculated as:
[tex]G = (5-3,4+2)[/tex]
[tex]G = (2,6)[/tex]
Hence:
G is plotted at (2,6)
200 bottles of equal capacity hold 350 liters of water .How much does each hold?
Answer:
SECRET HAHAHAHHA
Step-by-step explanation:
Answer:
1.75 liters
Step-by-step explanation:
We know that all 200 bottles can hold 350 liters of water.
Suppose each bottle holds b liters of water. Then we can model the situation in terms of b:
200b = 350
Divide both sides by 200:
b = 350/200 = 35/20 = 1.75
The answer is thus 1.75 liters.
~ an aesthetics lover
What’s greater 14/5 or 2.46
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a + b.
========================================================
Work Shown:
I'm assuming your teacher is applying the restriction that both 'a' and 'b' are positive integers.
L = LCM(a,b) = LCM of 'a' and 'b' = 9
G = GCD(a,b) = GCD of 'a' and 'b' = 378
L = (a*b)/G .... this shows how the LCM and GCD are connected
G*L = a*b
a*b = G*L
a*b = 9*378
ab = 3402
b = 3402/a
-------------------
a+b = a + (3402/a)
a+b = (a^2)/a + (3402/a)
a+b = (a^2+3402)/a
Replace 'a+b' with y. Replace every copy of 'a' with x. We get this equation
y = (x^2+3402)/x
Use a calculator or calculus to find that the lowest point occurs at the approximate location (x,y) = (58.3266662412, 116.6533325713)
Check out the diagram below. The graph was made with GeoGebra.
At this point we would stop since we found the lowest y value; however, keep in mind that 'a' and 'b' are integers. There is no way to have a+b add to the non-integer result 116.6533325713
---------------------
What we must do is look at a table of values where we see what integer x values lead to y being an integer as well. Those pairs are
x = 54, y = 117
x = 63, y = 117
Which are highlighted in the same diagram as the graph.
I restricted the table so that [tex]50 \le x \le 60[/tex] due to the lowest point found earlier having an x coordinate of roughly 58.3266662412
Based on what the table says, the smallest a+b can be is 117.
To mix weed killer with water correctly, it is necessary to mix 18 teaspoons of weed killer with 3 gallons of water. How many gallons of water are needed to mix with the entire box if it contains 36 teaspoons of weed killerl
Answer:
6 gallons of water
Step-by-step explanation:
may I have brainlyest please
What is the solution to the equation 40= 2.5y?
Answer:
y = 16
Step-by-step explanation:
Given
40 = 2.5y ( isolate y by dividing both sides by 2.5 )
16 = y
a basket contains one apple, one peach, and one orange. you randomly pick a piece of fruit.
Answer:
The odd of getting and apple peach or orange is 1 in 3
Step-by-step explanation:
The odds are 1 in there because there are three hope this answers Ur question
Evaluate C(7,5) please
Answer: 21
Step-by-step explanation: This is a combination of 7 objects taken 5 at a time
nCr = n! / r! * (n - r)!
7C5 = 7! / (5! (7-5)!)
= 7! /(5! 2!)
= (7*6*5*4*3*2*1)
-----------------------
5*4*3*2*1 * 2*1
Canceling
= 7*6/ (2*1)
= 21
PLEASE HELP !!!
A bookstore had 90 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 3/5 of what remained. How many copies does the bookstore have left?
Answer:
12
Step-by-step explanation:
divide 90 by 3 then take that and divide it by 5 then multiply that by 3 then subtract that from the answer of 90 divide by 3
For questions 5 – 6, use the following functions:
f(x) = 5x2 + 3
g(x) = x2 - 7
5. Find (f + g)(x).
6. Find (f - g)(x).
Answer:
5.6x2-4
6.4x2+10
Step-by-step explanation:
Answer:
5) (f+g)(x) =f(x) +g(x)
[5x^2-3] + [x^2-7]
6x^2 - 4
6) (f -g)(x) = f(x) +g(x)
[5x^2-3] - [x^2-7]
5x^2-3-x^2+7
4x^2+10
Marta and Guadalupe are saving for a car. Marta has $500 in her bank account when Guadalupe opens a bank account with zero dollars. Marta deposits $75 into her account each week for x weeks. Guadalupe deposits $95 into her account each week for x weeks. These accounts do not earn interest. Which inequality represents this situation when the amount of money in Guadalupe’s account is greater than the amount of money in Marta’s account? 75x 500+75x 75x>500+95x 95x<500+75x
Answer:
It's 95x > 500 + 75x
Step-by-step explanation: I took the test
ata were collected on the amount spent by customers for lunch at a major Houston restaurant. These data are contained in the file Houston. Based upon past studies the population standard deviation is known with . Click on the datafile logo to reference the data. Round your answers to two decimal places. Use the critical value with three decimal places. a. At confidence, what is the margin of error? b. Develop a confidence interval estimate of the mean amount spent for lunch. to
Answer:
The sample is calculated by adding the samples and dividing by the number of sample size.
X ± 2.58(6$)/√64
Step-by-step explanation:
Given:
Data were collected by 64 customers for lunch.
Based on past studies, the population standard deviation is known with =∂= $6
a) At 99% confidence
By using given information,
∂= $6, n= 64,
At 99% confidence, the value of z = 2.58
By using formula of margin error:
ME=za/2 ∂/√n
= 2.58 $6/√64
= 15.48/8
=1.935
b) Find the 99% confidence interval for mean amount spent on lunch?
By using given information:
∂= $6, n= 64,
At 99% confidence, the value of z = 2.58
By using the formula:
X ± z∂/√n
Where x is the sample means, z is the %99 confidence level, which is equal to 2.58
The sample is calculated by adding the samples and dividing by the number of sample size.
X ± 2.58(6$)/√64
What is the LCD of 1/2 and2/17
Answer:
the answer would be 34
Step-by-step explanation:
Rewriting input as fractions if necessary:
1/2, 2/17
For the denominators (2, 17) the least common multiple (LCM) is 34.
LCM(2, 17)
Therefore, the least common denominator (LCD) is 34.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/2 = 1/2 × 17/17 = 17/34
2/17 = 2/17 × 2/2 = 4/34
What is the sum of 7/12 + 4/5
83/60
Step-by-step explanation:Hi there !
⁵⁾7/12 + ¹²⁾4/5 =
= 35/60 + 48/60
= (35 + 48)/60
= 83/60
Good luck !
g The tensile 0.2 percent offset yield strength of AISI 1137 cold-drawn steel bars up to 1 inch in diameter from 2 mills and 25 heats is reported as follows: S y 93 95 97 99 101 103 105 107 109 111 f 19 25 38 17 12 10 5 4 4 2 where y S is the class midpoint in kpsi and f is the number in each class. Presuming the distribution is normal, what is the yield strength exceeded by 99 percent of the population
Answer:
107.50
Step-by-step explanation:
Given the following :
Midpoint (S)____F
S y 93 95 97 99 101 103 105 107 109 111 f 19 25 38 17 12 10 5 4 4 2
Calculating the mean and standard deviation using a calculator :
The mean(m) of the data above = 98.12
Standard deviation (sd) = 4.02
Proportion = 99% of population
From z table = 2.33
Using :
Zscore =(x - m) / sd
2.33 = (x - 98.12) / 4.02
2.33 * 4.02 = x - 98.12
9.3666 = x - 98.12
9.3666 + 98.12= x
x = 107.4866
X = 107.50
13.
How many cubes are needed to build the top level?
Answer:
7
Step-by-step explanation:
you count it 1, 2, 3, 4, 5, 6, 7. hope it helps
Answer:
7
Step-by-step explanation:
count
Select all input values for which g(x) = 8.
Choose all answers that apply
A. x=-4
B. x=6
C. x=9
D. None of the above
Answer:
D
Step-by-step explanation:
I think so..............
-16 + t < -32 what is the answer
Answer:
t < -16
Step-by-step explanation:
Answer:
T < -16 (it's probably less than or equal to)
Step-by-step explanation:
Write an expression for the area of the figure.
Area of A = [tex]8 \cdot 2x = 16x[/tex]
Area of B = [tex]8 \cdot x = 8x[/tex]
Area of shape = Area of A + Area of B = [tex]16x + 8x[/tex]
The area of the figure can be given from the expression 24x
What is the Area of a Rectangle?
The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
The entire figure can be split into 2 figures of different length and width
Let the top figure be A and the bottom figure be B
So , Area of the figure = Area of A + Area of B
Now , the Length of B = 16
Width of B = x
Area of B = Length of B x Width of B
So , Area of B = 16x
And from figure , we can conclude that
Length of A = 16 - 8
= 8
And Width of B = x
Area of B = Length of B x Width of B
So , Area of B = 8x
Therefore , total area of figure = Area of A + Area of B
= 16x + 8x
= 24x
Hence , the area of the figure is 24x
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jennie spent 1/3 of her allowance on a new book and 2/5 of her allowance on some pencil s. How much of her allowance did she spend.
Answer:
She spent 2 1/5 of her allowance
Step-by-step explanation:
SOOOO, 3 and 5 multiplied make 15.. Right?
So, what is 1/3 of 15? it's 5
So, what is 2/5 of 15? It's 6
so 5+6=11
11/15
and reduce
so 2 1/5
I hope this helps
Find the area of the figure. (Sides meet at right angles.)
5 cm
5 cm
3 cm
B cm
5 cm
5 cm
5 cm
15 cm
Answer:
60 cm
Step-by-step explanation:
there's alot of ways you can split up the shape but
15x2=30
5x3=15
5x3=15
30+15+15=60
Answer:
60 cm²
Step-by-step explanation:
divide the shape into smaller shapes, calculate the area for those small shapes, and then add them up.
A motorcyclist is riding along a mountain trail that runs parallel to a road below. In fact the trail is 6 meters above the road. The motorcyclist then notices a flat bed truck directly below moving at the same speed and decides to drive off the trail, without changing speed. Fortunately, the motorcycle safely lands on the flatbed of the truck. What would the outcome have been if the trail was 12 meters above the road, but all other parameters remain the same?
Answer:
The motorcycle would still land on the truck FLATBED just the way it landed when the trail was 6 meters above the road.
Step-by-step explanation:
Based on the information given about the motorcyclist we were told that the trail was 6 meters above the road in which despite that the motorcyclist drive off the trail without changing his motorcycle speed which made the motorcycle to land on the truck FLATBED which means that if the trail was 12 meters above the road while all other parameters remain the same what the outcome could have been is that the motorcycle would still land on the truck FLATBED just the way it safely landed when the trail was 6 meters above the road.
Therefore FLATBED truck can simply be defined as truck which does not have any thing covering both the right side and left side of truck and as well does not have roof making the truck to have a FLATBED or flatbody which is why most of this type of truck are mostly used to transport goods or loads that are heavy.
it is 4 km from David's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.⁰
Answer:
4,000 meters
Step-by-step explanation:
1 kilometer= 1000 meters
so
4 kilometers = 4000 meters
Answer:
4,000 mStep-by-step explanation:
4 km to meters
4 km x 1,000 m
1 km
= 4,000 m
Please help! file attached
Answer: 2x^2 - 4x - 2 (first option)
Step-by-step explanation:
To solve (3x^2 + x -3) - (x^2 - 5x + 1), first you have to simplify it. you would put 3x^2 and - x^2 together, x and -5x together, and -3 and 1 together. This simplifies to 2x^2 - 4x - 2. Hopes this helps
B
Which of the following regions is best described as hot and
humid with low elevations?
Answer:
Region C
Step-by-step explanation:
hdisoa.ahdid zks9nsbwjama
Answer:
B
Step-by-step explanation:
The gulf coast has low elevations and Has humid climate
you want to buy some rice a 9-ounce package costs $3.33 a 12ounce costs $4.32 A 22 ounce package costs 8.58 which package is the best buy
