Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
find the length and breadth of a rectangular plot whose area is 660square metre and perimeter is 104metre
Answer:
Step-by-step explanation:
let length=l
breadth=b
l×b=660
2(l+b)=104
l+b=104/2=52
b=52-l
l×(52-l)=660
52l-l²=660
l²-52l+660=0
l²-22l-30l+660=0
l(l-22)-30(l-22)=0
(l-22)(l-30)=0
l=22,30
when l=22,b=52-22=30
when l=30,b=52-30=22
l>b
so l=30m
b=22m
Answer:
W = 22 m
L = 30 m
Step-by-step explanation:
given:
area is 660square metre and perimeter is 104metre
find:
the length and breadth of a rectangular plot
----------------------------------------------------------------
1. area of rectangle (A) = L x W
2. Perimeter of a rectangle (P) = 2L + 2W
where:
A = 660 m²
P = 104 m
solve for L using formula 1.
A = L x W
660 = L x W
L = 660 / W
solve W using formula 2 and use L = 660 / W
P = 2L + 2W
104 = 2 (660) + 2W
W
104W = 1320 + 2 W²
-2W² + 104W = 1320
solve W using quadratic equation:
W = 22 m; ( 30 m = L)
plugin W=22 into L = 660 / W to solve L:
L = 660 / 22
L = 30 m
convert 0.68 to a percent
Answer:68%
Step-by-step explanation:0.68*100
Answer: 68%
Step-by-step explanation: We can change a decimal to a percent
by moving the decimal point two places to the right.
So in this problem, to change 0.68 to a percent,
we move the decimal point two places to the right.
So we have 68%.
So 0.68 can be written as 68%.
if 20 percent of item is 360,what is 85 percent of the item
7(-7x-9) + 3x+2 = -5(-3x-8) + 6
The answer needs to be a fraction! Please help - asap - Thank you!
Answer:
-107/61
Step-by-step explanation:
-49x-63+3x+2=15x+40+6
-46x-61=15x+46
61x=-107
x=-107/61
the answer is 2/3 !!
yw gl
Help!!! What is the area of this shape????????
Answer:
.
Step-by-step explanation:
Area of the triangle = 1/2 × the height × base length
Area = 1/2 × 5 × (8 + 8)
= 1/2 × 5 × 16
= 40 cm²
What is the equation of the following line written in general form?
Answer:
add 1;6 and 6,2 hope this helps ;)
1. Minti can do a piece of work in 12 days. Minti and Rinki together can finish the work in 8 days.
Find: (a) the number of days in which Rinki alone can finish the work.
(b) the work left if Rinki alone works on it for 4 days.
Answer:
Minti - 12 days
Minti & Rinki - 8 days
Use Formula 3
time= (12 * 8) / (12 -8)
time = 96 / 4
time for Rinki alone = 24 Days
*****************************************************
Rinki alone for 4 days will leave 20 days of work to be done.
Step-by-step explanation:
1.) 6 quarts liters *(1 QUART = 0.946 LITERS) help please
Answer:
Let me figure it out first then I will give you the answer.
I'm really confused about this question,
-(q+7) = -6q + 8
5. The temperature dropped 3 oc every hour for 5 hours. Write an integer that represents the change in temperature.
Answer:
let the earlier temperature be x
then change in temperature is x - 15
Which of the following prefixes represents the largest value?
Giga
Hector
Kilo
Milli
the answer is giga
Step-by-step explanation:
cause giga stands fir 1,000,000,000 1 billion
Answer:
giga
Step-by-step explanation:
-1/8n= -2/7 whats the n value?
Answer:
16 /7
Step-by-step explanation:
multiply both sides by -8 then simplify
A shop owner did a survey to determine the ages of shoppers who made purchases in the shop. The results for one afternoon are shown. How many shoppers were between the ages of 20 and 30, including 20 and 30? What were their ages? 13, 19, 20, 30, 30, 31, 38, 48, 50, 52, 55, 56, 65, 67, 69, 69, 70, 75
Answer:
3
Step-by-step explanation:
sense were looking for the ages between 20 and 30 including 20,30 the number are 20,30,30,
Due tonight
Please help!!!!!
angle BGC and angle BAD
Berks Lanes charges $4 per game of bowling and
$5 for the shoe rentals. If Roberto met his friends
to play and paid for 5 games and one shoe rental,
how much did he pay in all?
PLZ HELP THIS IS DUE IN 8 MINUTESSSSS
Answer:
25 $.
Step-by-step explanation:
4 (dollars per game) x 5 (how much games) = 20.
+ 5 $ for one shoe rental.
Robert will pay $25 for 5 games and one shoe rental.
Given that,
Berks Lanes charges $4 per game of bowling and $5 for the shoe rentals. Roberto paid for 5 games and one shoe rental, how much did he pay in all is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Berks Lanes charges $4 per game of bowling and $5 for the shoe rentals
Let the number of games be x, and number of show use be y
Total cost for the games = 4x + 5y
Roberto paid for 5 games and one shoe rental implies
x = 5 and y = 1
Now,
Total money paid = 4 * 5 + 5 * 1
= 25
Thus, robert will pay $25 for 5 games and one shoe rental.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
YO PLEASE HELP ME NOW!!!!!!!!
Answer:
N is equal to 5
Explanation:
N is equal to 5 because 7 subtracted from 12 and 8 subtracted 13 are equal 5.
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 2, reflected over the x-axis, and translated left 1 unit and down 3 units.
Answer:
g(x) = -2|x+1| -3
Step-by-step explanation:
f(x) = |x|
y = f(x) + C C < 0 moves it down
y = |x| -3 for shifting down 3
y = f(x + C) C > 0 moves it left
y = |x+1| -3 for move it left 1
y = Cf(x) C > 1 stretches it in the y-direction
y = 2|x+1| -3 to stretch it 2 vertically
y = −f(x) Reflects it about x-axis
y = -2|x+1| -3
We start off with f(x) = |x|
c < 0 means move down
y = f(x) + c
3 units down
After: y = |x| - 3
c > 0 means move left
y = f(x + c)
1 unit left
After: y = |x + 1| - 3
c > 1 means y direction stretch
y = cf(x)
2 unit stretch
After: y = 2|x + 1| - 3
Reflect across x-axis can be stated as y = -f(x)
After: y = -2|x + 1| - 3
Best of Luck!
How to calculate the sin, cos, and tan. (Trigonometry)
Answer:
Please see the attached picture for full solution.
Which of the following is a term in the
expression 3x2 + 5x +9?
Answer:
Two.
Step-by-step explanation:
In algebra, a term is either a single number or variable, or numbers and variables multiplied together. In any equation, all of the numbers there that aren't divided by a mathematical operation (times or divide symbols) are terms.
3x2 isn't a term, it's an expression - but 5x and 9 are, so therefore there are 2 terms.
-27 = 3 (x - 2) How do I solve this? Step by step please
Answer:
Step-by-step explanation:
3(x - 2) = -27
3x - 6 = -27
3x = -21
x = -7
6x – 3y = 36 find ySolve the equation below for y.
Answer:
y = 2x -12
Step-by-step explanation:
6x – 3y = 36
Subtract 6x from each side
6x-6x – 3y =-6x+ 36
-3y = -6x +36
Divide by -3
-3y/-3 = -6x/-3 +36/-3
y = 2x -12
Am I correct with this?
Answer:
no
Step-by-step explanation:
u can cut the trapesoid in half and make it into a rectangle then get ur answer
Which best describes and corrects the error in finding the difference?
Answer:
The first answer choice.
Answer: The opposite of -12 should be added.
7 - (-12) = 7 + 12 = 19
Step-by-step explanation:
The 2 minus signs cancel out and make the 12 positive so 7 - (-12) = 19.
In triangle ABC, the measure of angle B is 50 degrees. Give possible values for the measures of angles A and C if ABC was an acute triangle.
Answer:
Step-by-step explanation:
An acute triangle is a triangle that has all the measures of its angles to be less than 90° i.e none of the angles is greater than 90°
Since of angles in a triangle is 180, hence <A + <B + <C = 180
Given
<B = 50
50 + <A + <C = 180°
<A + <C = 180-50
<A + <C = 130°
Note that all the angles of an acute triangle are also different
Hence the possible values of A and C are 60° and 70° (since their sum must give is 130°)
Another possible values are 55° and 75°
60° and 70°
55° and 75°
y varies directly as x = 1/2 and y = 5/4. what is x when y is 60
Answer:
X is 24
Step-by-step explanation:
mark me brainliest!!!!
Write an expression for the sequence of operations described below. triple u, then multiply t by the result
Answer:
t(3u)
Step-by-step explanation:
First we have to triple (x3) u, which is what gets us 3u. Then we multiply that result by t.
This gives us: t(3u)
Remember, this problem is asking for you to write an expression, not and equation. That is why there is not an equal sign included in the answer.
Three boys cut out hundredths decimal models. Luke shades three fourths of one model. Owen shades four small squares of one model. Jacob shades two full models and nine tenths of another model. What decimal represents the amount each boy shades?
Answer:
Luke = 0.75
Owen = 0.04
Jacob = 2.9
Step-by-step explanation:
A model = 100 small squares
100 small squares = 1
Luke shades three fourths of one model.
Luke = 3/4 of 1 model
= 3/4 × 1
= 0.75
Owen shades four small squares of one model.
Owen = 4/100
= 0.04
Jacob shades two full models and nine tenths of another model
Jacob = 2 + 9/10
= 2 + 0.9
= 2.9
Luke = 0.75
Owen = 0.04
Jacob = 2.9
(solve) i dont get it
which is a better estimate for 682,000: 6 x 10^5 or 7 x 10^6
Answer:
6 x 10^5
Step-by-step explanation:
7 x 10^6 is 7,000,000 and 6 x 10^5 is 600,000. The one that is closer is 6 x 10^5
8x^2+5=22x Need help learning factoring please put work so I can understand
Answer: (2x - 5) • (4x - 1)
STEP 1 : Equation at the end of step 1
(23x2 - 22x) + 5
STEP 2 : Trying to factor by splitting the middle term
2.1 Factoring 8x2-22x+5
The first term is, 8x2 its coefficient is 8 .
The middle term is, -22x its coefficient is -22 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40
Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .
-40 + -1 = -41
-20 + -2 = -22 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2
8x2 - 20x - 2x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (2x-5)
Add up the last 2 terms, pulling out common factors :
1 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(4x-1) • (2x-5)
Which is the desired factorization
Final result : (2x - 5) • (4x - 1)