Given:
The equation is
[tex]P=-3-4L-6[/tex]
To find:
The formula for L.
Solution:
We have,
[tex]P=-3-4L-6[/tex]
It can be written as
[tex]P=(-3-6)-4L[/tex]
[tex]P=-9-4L[/tex]
We need to isolate variable L.
Adding 6 on both sides, we get
[tex]P+6=-4L[/tex]
Dividing both sides by -4, we get
[tex]\dfrac{P+6}{-4}=L[/tex]
[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]
[tex]-\dfrac{P}{4}-1.5=L[/tex]
Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].
The sum of the opposite of a number and six is less than or equal to five.
Answer:
-x+6< 5
there is a line under the less than symbol
Step-by-step explanation:
The mathematical expression is;
⇒ - x + 6 ≤ 5
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The algebraic expression is,
''The sum of the opposite of a number and six is less than or equal to
five.''
Now,
Let a number = x
The, The opposite of a number = - x
So, We can formulate;
⇒ - x + 6 ≤ 5
Thus, The mathematical expression is;
⇒ - x + 6 ≤ 5
Learn more about the inequality visit:
https://brainly.com/question/23945265
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45% of the population of a city are men
and 15% are children. If the number of
women is 64,400, find the number of
children.
Answer:
[tex]\boxed{\textsf{ The number of children is \textbf{24150}.}}[/tex]
Step-by-step explanation:
Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,
[tex]\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% . [/tex]
So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .
So let us take the total number of people be x . So ,
[tex]\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}[/tex]
[tex]\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}[/tex]
[tex]\rule{200}2[/tex]
The percentage of children = 15% :-
[tex]\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}[/tex]
What is the surface area of this 3-D solid?
Answer:
I think its flat sorry if it's wrong
Find the sum:
1. 23.456 + 3.0034
Answer:
26.4594
Step-by-step explanation:
I mean im not sure i can teach you addition
There is 4/5 pound of paper clips to share equally with 3 employees. What amount of paperclips will each employee receive?
Answer: 4/15
Step-by-step explanation: 4/5 divided by 3 is the same as 4/5 times 1/3 wich is the reciprocal of 3
find the value of y plzzzz
Answer:
The exterior angles of a triangle will always add up to be 360. Since there are 2 angles 100 and 135, that's a total of 235. You would then subtract 360 - 235 which is 125.
y = 125
Find the length of AC.
Answer:
D. 8 cm
Step-by-step explanation:
Reference angle = 60°
Opposite side = BC = 8√3
Adjacent side = AC = ?
Thus:
Tan (60) = opp/adj
Tan (60) = (8√3)/AC
AC*Tan(60) = 8√3
Divide both sides by tan (60)
AC = (8√3)/Tan(60)
AC = (8√3)/√3 (tan 60 = √3)
AC = 8 cm
About 4 out of every 804 people in the world are citizens of Canada. Write this number
as a percent. Round to the nearest hundredth of a percent.
Answer: .5%
Step-by-step explanation: 4/804 reduces to 1/201, which is 0.5%
geometry please help :( so stuck in this topic
Answer:
a (6,-3)
b (9,0)
c (5,1)
Step-by-step explanation:
Can you guys help me and answer this math question below please I really need help I'll mark brainliest to whoever answers please help
Answer:
(-,+)
Step-by-step explanation:
Q2 is on the top left, with answer in form of (x,y). Top right is Q1, bottom left is Q3, and bottom right is Q4.
I really need help on this I also have a test on functions anyone willing to help
Answer: -4≤x≤6 (3rd option)
Step-by-step explanation:
Domain basically means the farthest x values going left and right on a graph. in this case x could be between -4 and 6 as well as equal to both -4 and 6
What is the value of sin 60
Answer:
-0.3048106211
Two cross roads, each of width Sm, run at right angles through the
centre of a rectangular park of length 70m and breadth 45m and
parallel to its sides
On the basis of the above information, answer any four of the
following questions
Answer:
Rs 57750
Step-by-step explanation:
width =5 m
length of first parallel road 70 m
area of first road 70×5=350 sq.m
length of second road 45 m
area of second road =45×5=225 sq.m
area of the common part of cross road with 5 m width that lies at the
center of the park 5×5 = 225 sq.m
area of roads = area of first road +area of second cross road−common area
=(350+225)−25
=575−25
=550sqm
cost of the construction per sq.m =Rs.105
total cost =550×105=Rs 57750
can someone help me i lost
What is 75% converted to a decimal? mal?
Answer:
75% = 0.75
Step-by-step explanation:
75% ÷ 100 = 0.75
Answer:
.75
Step-by-step explanation:
75.% you move the the point 2 spaces to the front and get .75
Three angles on a line have a ratio of 3:4:5. What are the measures of the three angles
Answer:
3 + 4 + 5 = 12
180÷12 = 15
for 3 it will be 3×15=45
for 4 it will be 4×15 =60
for 5 it will be 5×15 =75
Find the area please :))))))
Answer:
86.60 units²
Step-by-step explanation:
It’s composed of two equilateral triangles (60-60-60).
(10√3)/2=8.66 (the height of each triangle
area = 1/2bh
1/2(10)(8.66)=43.30127
43.30127x2=86.60254
common demominator of 1/3 and 3/4
Answer:12 is a common denominator!
Step-by-step explanation:
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answer:
[tex]468 {in}^{2} [/tex]
Step-by-step explanation:
see attached image, surface area is the area of each surface added together
fill in the three answer below for the area of the composite shape
Answer:
A) 3 x 6 = 18 in^2
B) 11 x 8 x 0.5 = 44 in^2
C) 18 + 44 = 62 in^2
plz help me with steps by steps asap its due in few minutes BRAINLIST and THANKS to the correct answer
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Find x
Since both shapes are similar, then:
[tex]LM : KN = RV : SP[/tex]
This gives:
[tex]4x + 4 : 7x - 9 = 48 : 60[/tex]
As fraction:
[tex]\frac{4x + 4 }{ 7x - 9} = \frac{48 }{ 60}[/tex]
Simplify:
[tex]\frac{4x + 4 }{ 7x - 9} = \frac{4 }{ 5}[/tex]
Cross Multiply:
[tex]5(4x + 4) = 4(7x - 9)[/tex]
[tex]20x + 20 = 28x - 36[/tex]
Collect Like Terms
[tex]28x - 20x = 20 + 36[/tex]
[tex]8x = 56[/tex]
[tex]x = 7[/tex]
BRAINLIEST ! Find the equation of the line.
Answer:
y=-3x+7
Step-by-step explanation:
m=gradient=-3
Find 2/3 of 24
Help ASAP plz!! Got to get finished tonight
Answer:
16
Step-by-step explanation:
[tex](\frac{2}{3} )*24=16[/tex]
You deposit $3000 in an account earning 5% interest compounded monthly. How much will you have in the account in 15 years?
Answer:
9000
Step-by-step explanation:
Answer:
6236.78454 or 6236.78
Step-by-step explanation:
Use formula A=P(1+r)^t
A=3000(1+0.05)^180/12
*convert 15 years to moths* 180 months
A=3000(1.05)^180/12
A=3000(2.07892818 )
A=6236.78454 or 6236.78
Hope this helps ^-^
I need help with the top 3 plz
Answer/Step-by-step explanation:
Recall: SOHCAHTOA
1. Reference angle = 70°
Adjacent side = x
Hypotenuse = 6 cm
Apply CAH. Thus,
Cos 70 = adj/hyp
Cos 70 = x/6
6 × cos 70 = x
2.05 = x
x = 2.05 cm
2. Reference angle = 45°
Adjacent side = x
Hypotenuse = 1.3 m
Applying CAH, we would have the following ratio:
Cos 45 = adj/hyp
Cos 45 = x/1.3
1.3 × cos 45 = x
0.92 = x
x = 0.92 m
3. The who diagram is not shown well. Some parts are missing, however you can still solve the problem just the same way we solved problem 1 and 2.
The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 adult ticket and 8 student tickets for a total of $56. The school took in $14 on the second day by selling 1 adult ticket and 1 student ticket. What is the price of each of on adult ticket and one student ticket
Answer:
Step-by-step explanation:
a+s=14
a=14-s
a+8s=56, using a from above in this equation gives
14-s+8s=56
14+7s=56
7s=42
s=6
a=14-s
a=14-6=8
So student tickets cost $6 and adult tickets cost $8.
Six out of the 12 members of the school choir boys. In the simplest form, what fraction of the choir is boys? Pls help out with this question
d − 32 = 65 play android
Answer:
d = 97Step-by-step explanation:
When you look at the equation, you can tell that it's asking for the difference of a number and 32. Add together 65 and 32 to get 97.
Find the inverse function of the function f(x) = zx + 7.
Answer:
Division
Step-by-step explanation:
You divide f by x and since you have to do the same thing you did to f on the other side you divide zx by x which also cancels out x on both sides. which would leave you with f = z + 7. (I'm sorry if i'm wrong)
Hunter took a test With 28 questions. If he answered of 2/7 of the questions correctly, how many did he
get wrong?
Answer:20
Step-by-step explanation: If you have a calculator its easy
Answer:
28.5% or you can divide to get your answer
Step-by-step explanation:
so first all you have to do is figure out what 2/7 Is, 2/7= 28.5%