Answer:
The value of n = 4 and
The value of x = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Method I:
As given, 12x -20=n (3x-5) .........(1)
Firstly , take 12x - 20
As 12x - 20 can be written as 4(3x - 5)
∴ equation (1) becomes
4(3x - 5) = n (3x-5)
Divide the equation by (3x-5) , we get
4 = n
Method II:
As given, 12x -20=n (3x-5)
⇒12x - 20 = 3nx - 5n
⇒12x - 3nx = 20 - 5n
⇒3x(4 - n) = 5( 4 - n)
Divide the equation by (4-n) , we get
3x = 5
⇒ x = [tex]\frac{5}{3}[/tex]
∴ we get
n = 4 and x = [tex]\frac{5}{3}[/tex]
Now, check that value of n and x satisfies the equation or not
12([tex]\frac{5}{3}[/tex]) - 20 = 4( 3([tex]\frac{5}{3}[/tex]) - 5)
⇒4(5) - 20 = 4(5 - 5)
⇒20 - 20 = 4(0)
⇒ 0 = 0
Hence , we get
The values of x and n satisfies the equation
so, we get
n = 4 and x = [tex]\frac{5}{3}[/tex]
lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball
Answer:
The radius of the ball is 3.48 cm
Step-by-step explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:
[tex]\displaystyle V=\frac{m}{\rho}[/tex]
[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]
[tex]V=176.2115\ cm^3[/tex]
Since the shape of the object is a sphere, and the volume of a sphere of radius r is:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
We can solve for r and obtain:
[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substituting:
[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]
[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]
[tex]\boxed{r=3.48\ cm}[/tex]
The radius of the ball is 3.48 cm
need help plz help me
Answer:
The last one t/5-6=-3
Step-by-step explanation:
All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!
I hope this helps and have a great day!
2) k+k-72
Greatest common factor?
Answer:
2!!
Step-by-step explanation:
Write down the gradient of the line
(1 Point)
y=1/2x
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in point- slope form is
y = mx + c ( m is the slope ( gradient ), c is the y- intercept )
y = [tex]\frac{1}{2}[/tex] x ← is in point- slope firm
with gradient = [tex]\frac{1}{2}[/tex]
Point N is on line segment ABGiven AN = 14 and NB =21. Determine the length of the line AB.
6a-1÷7=4. . . . . . . . . . .. . .
Answer:
a=29/42
Step-by-step explanation:
6a-1÷7=4
first write the division as a fraction
6a-1/7=4
add 1/7 to each side
6a=4+1/7
which is equal to
6a=29/7
divide both sides by 6
a=29/42
A shoe store uses a markup rate 40% when determining the retail price of its items. If the store pays $42.25 for a pair of shoes wholesale, what will be the retail price of that pair of shoes?
Which ones are correct will give brainlist!!
Answer:
A and C and E
Step-by-step explanation:
All these answers are true because the line is always constant, the slope is going down so therefore negative, and the equation is correct because you can fill in any value and they would be correct.
Mark, Paul and Brian share some sweets in the ratio 1:3:5. Mark gets 14 sweets. How many
did Brian get?
Answer:
7
Step-by-step explanation:
hope it helps
I need help with -3x + 6 = 24
Answer:
x = -6
Step-by-step explanation:
Most complicated and written out explanation for 1 plus 1 can get 20 points and brainliest.
Answer:
looking at the equation one plus one we see there can be many answers for example we can take one plus ine and change it to a number of different questions including but not limited to 1+1 1-1 1/1 1x1 1^1 etc looking at other results we can then determine tat 1+1=2 all though alternative answers could be present
Step-by-step explanation:
What is the difference between the mean of the population and the mean of the sample? 0.24 0.36 2.40 2.64
Answer: 0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
i took the test i got it right!
Gaby has 89 friendship bracelets. She has 4 friends, Lulu, Brianna, Brittany and Mariah. When, they get the bracelets are they all going to have the same amount? Why or why not?
HELP MY BROTHER HES 8 YRS OLD!!!!! IF YOU ANSWER IT CORRECTLY YOU WILL GET BRAINLIEST
Answer:
They will not get the same amount of bracelets
Step-by-step explanation:
You cannot divide 89 by 4 to get an equal number (4 is not a factor of 9)
Answer:
3 of the friends plus Gaby will get 17 bracelets and 1 of them will get 4/5 of the bracelets
Step-by-step explanation:
89 divide by 5 = 17.8
Mark's football team has scored about 24 points each game. They played 12 games this season.
What is the best estimate for the total number of points they scored in the season?
Answer:
288 points
Step-by-step explanation:
24 × 12 = 288
hope this helps...
Step-by-step explanation:
24*12=288 points (ans)
Lainey bought a set of 202020 markers for \$6$6dollar sign, 6.
What is the cost of 111 marker?
Answer:
$666
Step-by-step explanation:
6*111
= 666
Answer:
6
Step-by-step explanation:
YES
Which ones are true?
Answer:
its box 1,3,5
Step-by-step explanation:
In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.
Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.
What is the area of the quadrilateral
Q
R
U
T
?
Answer:
maths challenge>
Step-by-step explanation:
samee
19. Find the measure of angle ABC.
Answer:
72
Step-by-step explanation:
6x+6x+8x=180 (∠ sum of Δ)
20x=180
x=9
∠ABC=8(9)
=72
The populations and land areas of four cities in Texas are shown. Which statements are true? Check all that apply. The population density for City B can be found using the ratio 48,592 : 26. The population density for City D can be found using the ratio 258 : 196,429. City A has the greatest population density of the four cities. The population density of City B is greater than that of City C. City D has the lowest population density of the four cities.
Answer:
The population density for city b would be 48,592 ÷ 26
The population density for city b is more than the city c
And, the city d contains the lowest population density
Step-by-step explanation:
The computation is given below:
As we know that
Population density = Population ÷ Area
So
For city A = 2,195,914 ÷ 1,553 = 1413.98
For city B = 48,592 ÷ 26 = 1868.15
For city C = 1,257,676 ÷ 999 = 1258.93.
For city D = 196,429 ÷ 258 = 761.35.
The following are the true statements:
The population density for city b would be 48,592 ÷ 26
The population density for city b is more than the city c
And, the city d contains the lowest population density
Answer:
A, D, E
Step-by-step explanation:
Just did it on edge!
plz show how you got the answer
Hi there! I'm here to help. :)
Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.
To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.
Begin by converting both fractions into improper fractions:
1 1/4 = 5/4
3 1/2 = 7/2
So now our equation looks like this: x + 5/4 = 7/2
Now we need to make it to where we our fractions have the same denominator.
Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.
Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4
Now we have:
1 1/4 = 5/4
3 1/2 = 14/4
Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.
Now our equation looks like this:
x = 9/4
LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.
So, x = 2 1/4. :)
-5x + y = -1x
10x - 2y = 2
Answer: Below is the first one
Step-by-step explanation: Second one is right here x=1/5+y/5
work out 1/5 of 80 =
Answer:
16
Step-by-step explanation: your welcome
A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?
Answer:
the answer would be 160H
The cost of a job that lasts 1.5 hours is $ 192.5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The charge of each job by the plumbing company = $ 95
The charge on each hour for each job = $ 65
The equation for the cost of a job is = 65h + 95
where h is the number of hours for the job
Now , to calculate the cost of job that lasts 1.5 hours ,
substitute the value of h as 1.5
And , the equation becomes
= 65h + 95
= 65 ( 1.5 ) + 95
= 97.5 + 95
= $ 192.5
Hence , the cost of a job that lasts 1.5 hours is $ 192.5
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ3
Please help for math in 2 min or less
The length of the missing side is: ?m
Answer:
85 ft
Step-by-step explanation:
for all right triangles, triangles with a 90 degree angle, the sides are equal to [tex]a^{2} + b^{2} = c^{2}[/tex] where c is the hypotenuse, or the longest side.
so... [tex]40^{2} + 75^{2} = c^{2}[/tex]
[tex]7225 = c^{2}[/tex]
c= 85
-6x - y =23
y = 4x + 7
Answer:
x = -28/39, y = 7/39
Step-by-step explanation:
Graph both and find the corresponding points.
What is the slope of the line shown below?
(1,7)
(3,5)
-10
-10
O A.
O B.
1
2
O c. 1
O D.-1
Given;
The graph of a line.
To find:
The slope of the line.
Solution:
From the given graph it is clear that the line passes through the points (1,7) and (3,5).
So, the slope of the given line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5-7}{3-1}[/tex]
[tex]m=\dfrac{-2}{2}[/tex]
[tex]m=-1[/tex]
Slope of the line is -1.
Therefore, the correct option is D.
PLEASE HELP ME ON THIS THE ANSWERS ARE 1/3 cm/s, 1/2 cm/s, 2/3 cm/s, and 3/2 cm/s
Answer: 3/2 cm per second
========================================================
Explanation:
We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.
The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.
We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.
Can someone explain the process of getting to Angle A? I know the answer is 44.1 but I need to show my work so can someone show me the process of getting the answer and please explain! Thank you!!
Answer:
Step-by-step explanation:
First you have to calculate CB in order to use sin law to calculate ∠A
CB=[tex]\sqrt{18.4^{2} -13.2^{2} }[/tex]
CB=12.8(correct to nearest tenth)
After that, use sin law to calculate ∠A,
[tex]\frac{18.4}{sin90} =\frac{12.8}{sinA}[/tex] or [tex]\frac{sin90}{18.4} =\frac{sinA}{12.8}[/tex]
sinA=0.695...
A=44.079...
=44.1(corrext to the nearest tenth)
Is that clear enough for you?
Below is a table of revenue and cost, in thousands of dollars, of a business. Use the best fit line to estimate the number of months until the business is no longer profitable.
Answer: It's 18
Step-by-step explanation: i took it and got it right