Simplify the expression
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
Write the equation of the line that passes through the points (3, -2)
and (5, -9). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.
find the value of given expression
[tex] \sqrt{35 \times 35} [/tex]
» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m
Answer:
m = 60/6
60 = 6 x m
Step-by-step explanation:
There are 20 boys in Mrs. Shaw’s 3rd-period class. 11 of the boys are from Benignus. What percent of the boys came from Benignus?
please hurry
6th grade math
Write an equation of the line in slope-intercept form. (0,2)(3,3)
Answer:
Slope = 1/3
Step-by-step explanation:
Hope this helps.
Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%
Music 28%
Athletics 42%
Neither 30%
What is the graph of the equation y + 3 = 2(x + 3)?
Answer:
y + 3 = 2(x + 3)
[point-slope; y – y₁ = m(x – x₁)]
y = 2x + 3 [slope-intercept; y = mx + b]
2x – y = -3 [standard form; ax + by = c]
Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?
Answer:
22/25
Step-by-step explanation:
Multiples of 8 betwen 1 - 50 =
8
16
24
32
40
48
there are 6 multiples of 8
Numbers that are not multiples of 8 = 50 - 6 = 44
Probability the operator will choose a unit that is not a multiple of 8 = 44/50
Expressing in simpler terms = 22/25
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:x=3
Step-by-step explanation:
the 3 angles of a triangle equal 180
you add 105 and 46, which equals 151
you subtract 151 from 180 to see what the missing angle is (29)
you would make 6x+11 equal to 29
-subtract 11 from 29= 18
6x/6, 18/6
the answer is 3
hope this helps! :)
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:(-6.5,-5)
Step-by-step explanation:
P = (3A +1B)/(3+1)
P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)
In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
Answer:
1. The ratio of their diameters is 8/5 = 8 : 5
2. The ratio of their surface area is (8/5)²
3. The ratio of their volume is (8/5)³
4.The area of the base of the larger cylinder is 128 cm²
Step-by-step explanation:
Given that the two cylinders are similar, we have;
Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii
Therefore, we have;
1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂
The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5
The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5
2. The surface area of the cylinders = 2·π·r·h + 2·π·r²
Therefore, we have;
(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)
h₁ = h₂ × 8/5
r₁ = r₂ × 8/5
= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²
The ratio of their surface area = (8/5)²
3. The volume of the cylinder = π·r²·h
∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³
The ratio of their volume = (8/5)³
4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²
Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²
how long would it take the snail to crawl 65 inches
a 60
b 6.5
c 6
d 65
Answer:
6 minutes is the most reasonable time to crawl 65 inches.
Write the unit rate per video game. $78 for 4 video games. $ for video game. 100 points question better not be wrong or else
Answer:
78:4
Step-by-step explanation:
please help times running out
Answer: c
Step-by-step explanation:
The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?
Answer:
197.095
Step-by-step explanation:
Mean, m = 219 ft²
Standard deviation, s = 32.5 ft²
For a bedroom to be among the smallest 25%
P(x < Z) = 0.25
From Z probability calculator, this corresponds to a Zscore of - 0.674
Recall :
Zscore = (x - m) / s
x = bedroom size
-0.674 = (x - 219) / 32.5
-0.674 * 32.5 = x - 219
-21.905 = x - 219
x = - 21.905 + 219
x = 197.095
Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
What percent of 50 is 36?
Answer:
72%
Step-by-step explanation:
%/100 = is/of Write formula
x/100 = 36/50 Substitute known values
50x=3600 Cross multiply
/50 /50 Divide both sides by 50 to isolate x
x =72
need some help please
Answer:
A(t)+900=x
B(t)+500=x
for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer
Step-by-step explanation:
you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300
15 POINTS!!!!!
Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"
A. SAS
B. AAS
C. ASA
D. SSA
E. Not Congruent
Answer:
A. SAS
the triangle is congruent by side angle and side
How do I find the geometric mean of 275 and 11??
Answer:
The geometric mean of x=275 and y=11 is 55
Step-by-step explanation:
What is an equation of the line that passes through the points (0,5) and (-5,7) Put your answer in fully reduced form
Answer:
y = 2/5x + 5
Step-by-step explanation:
I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...
y2-y1/x2-x1=
7-5/-5-0=
2/5 --> So 2/5 is the slope, and that finishes the equation
Final equation in point slope form: y=2/5x+5
HOPE YOU UNDERSTAND NOW!!!! :)
The equation of the line that passes through the point (0, 5) and (-5, 7) is
y = - 2/5 x + 5
The equation can be represented in the slope intercept form below
y = mx + bwhere
m = slope
b = y- intercept
(0, 5)(-5, 7)
The slope can be found below
m = 7 - 5 / -5 - 0 = 2 / -5 = - 2/5
Therefore, using y = mx + b format
y = -2/5 x + b
let's find b using the coordinate (0, 5)
5 = - 2 /5 (0) + b
b = 5
Finally, the equation is
y = - 2/5 x + 5
read more: https://brainly.com/question/16569095?referrer=searchResults
Find the greatest common factor of 30, 70, and 20.
Answer:
10
Step-by-step explanation:
10 goes into 30, 70, and 20.
Calculate the distance the train will travel in 3/4 hour.
Answer:
what is the speed of the train? if that is miles per hour just figure out what 75% is of that number
Step-by-step explanation:
Select all equations that match the solution for this equation: 5(x - 12) = 20
60 + 20 ÷ 5
1/5(60 + 20)
(16 + 20) • 5
(16 - 12) • 5
1/5(75 - 63
Answer:
The answer is x=16 so whatever the equations should look like it should be this:
Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16
PLEASE HELP Determine W and X in Circle M
your answer will be
w=16°
X=148°
Step-by-step explanation:
hope it helps you
have a great day!!
Hi! i'm showing this to my sister and she wants to know, At a yard sale, Jennifer sold 2 tricycles for $22.50 each, 3 old video games for $2.75 each, a video for $5.00, and a dictionary for 75 cents. How much money did she make?
Jennifer made $59.
$22.50 times 2 is $45 and $2.75 times 3 is $8.25, the sum of these numbers is $53.25.
$5 plus $0.75 is $5.75, and the sum of $5.75 plus $53.25 is exactly 59 dollars.
If this is incorrect, please, don't refrain to tell me.
Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?
Answer:
7
Step-by-step explanation:
If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.
Escreva uma equação do 2 grau que tenha: a) - 5 e 3 como raízes. b) x, +x, = 17 x, x = 70, sabendo que x, e x, são as raízes. = = C) 0 e 6 como raizes. d) Duas raízes reais iguais. e) Nenhuma raiz real.
A digital music player has a retail price of 85$ the percent of markup is 140% what is the final price after the markup? (Show work)
Answer: $119
Step-by-step explanation:
Let's take this equation
85(n)
n will equal 1.40 as the price mark up is 140%
85(1.40)
$119