or, l + b = 22
or, b = 22 - l ...(i)
We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.Answer:
B) 4 inches and 18 inches.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Maths Question:
Transformations
Step-by-step explanation:
I don't know what is the answer I can explain it
Answer:
(-2, 2) (-4, 2) (-4, 5)
Step-by-step explanation:
The coordinate for A are (2, 2) (4, 2) and (4, 5).
When you reflect across the x=axis the y coordinates become negative.
(2, -2) (4, -2) (4, -5)
y = x is a diagonal line through the origin, and all of the points change signs.
(-2, 2) (-4, 2) (-4, 5)
Plot the 3 points for the triangle.
You invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.
Answer:
The amount is $8358.7 and the interest is $3858.7.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Step-by-step explanation:
r÷st r = 180, s = 5, t = 4
Answer:
[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]
Step by step solution:
r ÷ st 180 ÷ 5 × 4180 ÷ 209How far dose a kangaroo travel in 2 minutes
What is the slope of the line?
Answer:
looks like 3/4
Step-by-step explanation:
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds
Answer:
a) gallons
b) gallons
Step-by-step explanation:
a)1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.
__
b)Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.
If something cost $37.80, how many tens would you give?
Answer:
4 tens
Step-by-step explanation:
3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.
For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x
[tex]\huge \bf༆ Answer ༄[/tex]
The equivalent expressions are ~
Question : 1 [tex] \sf \: - 3(7 + 5g)[/tex][tex] \sf - 21 - 15g[/tex][tex] \sf- 15g - 21[/tex]Question : 2[tex] \sf \:( x + 7) + 3y[/tex][tex] \sf \: x + 7 + 3y[/tex][tex] \sf \: x + 3y + 7[/tex]Question : 3 [tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex][tex] \sf \dfrac{10x - 9}{45x} [/tex]9 5×
10× - 945×
what is the domain of f? khan academy
Answer:
x cannot = -2
Step-by-step explanation:
if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.
Answer:
A
Step-by-step explanation:
f(x) = [tex]\frac{x-3}{x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain
The domain of f(x) is all real values of x such that x ≠ - 2
Find the product of (4z2 7z â€"" 8) and (â€""z 3). The product of (4z2 7z â€"" 8) and (â€""z 3) is â€""4z3 z2 z â€"" 24.
The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
We are to find the product of (4z^2+7x-8) and (-z+3)
Product = (4z^2+7z-8)(-z+3)
Using the distributive law:
[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]
Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
Learn more on product of functions here: https://brainly.com/question/25638609
There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?
Answer:108
Step-by-step explanation:
36 times 3, right??
Two more than a certain number is 15 less than the product of 7/8 and the number. I NEED THE EQUATION AND SOLUTION
Answer:
x + 2 = 7/8 x -15
x = -136
Step-by-step explanation:
Two more than a certain number is 15 less than the product of 7/8 and the number.
Let x be the 'certain number'
x + 2 = 7/8 x -15
x = 7/8 x - 17
1/8 x = -17
x = -136
Answer:
Step-by-step explanation:
the answer is -136
how do I write an equation of a line that is parallel to 2x-3y=15
60 more boys than girls attended the school picnic. If at most 230 boys attended the picnic, how many girls attended?
Answer:
!70 girls
Step-by-step explanation:
230 - 60 = 170
hope this helps
HELP PLEASE!!
(It’s slope)
Answer:
Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!
Step-by-step explanation:
Im not good at explaining things without it sounding very confusing... sorry.
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
Sara earned 100 points in the first round of a game. She earned 20 points in each of the following rounds of the game. She ended the game with 400 points. Write and solve an equation to find the number of rounds Sara played.
20x=400-100
20x=300
x= 300/20
15 rounds she played
13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.
Answer:
Xander has 140 friends
Kennedy has 92 friends
Step-by-step explanation:
Let x represent # of friends Xander has at the start
Let x+11 represent # of friends Kennedy has at the start
Let 2(x+11) rep. the final # of friends Kennedy has
Let 4x rep. the final # of friends Xander has
Total = 232
So we just need to solve for x:
2(x+11) + 4x = 232
2x + 22 + 4x = 232
6x = 210
x = 35 < - This means that xander started with 4 friends.
Sub x to find friends for each:
4x = ?
4(35) = 140 friends
2(x+11) = ?
2(35+11) = 92
Help!! Ill give 100 points!
Answer:
It will take about half an hour more for maria to finish his/her project than Juan.
Step-by-step explanation:
9/10 > 2/6
=> 54/60 > 20/60
=> 34/60
Therefore, it will take about half an hour more for maria to finish his/her project than Juan.
Hoped this helped.
Answer:
50min estimate 3/4h
Step-by-step explanation:
find 9/10h
60 : 10 * 9 = 54 min
find 2/6h
60 : 6 * 2 = 4 min
54 - 4 = 50 min
-6(-5n+3)+2=-166
PLEASE HELP ;(((((((
Answer:
n = -5
Step-by-step explanation:
-6(-5n+3)+2=-166
distribute the -6
- 6 * -5n = 30n
-6 * 3 = - 18
30n - 18 + 2 = -166
combine like terms
30n - 16 = -166
add 16 to both sides
30n = -150
divide both sides by 30
30n/30=n
-150/30=-5
we're left with n = -5
Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)
the perimeter of a rectangle is 1000m. if the length is given as x , find the width in terms of x
[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]
Determine whether the ratios form a proportion.
16/9, 28/15
Answer:
No
Step-by-step explanation:
One way of doing this problem is to reduce the given fractions as much as possible. Unfortunately, neither ratio reduces. So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."
Answer:
hope it helps 12 : 9 = 28 : 15
is FALSE
What logarithmic function represents the data in the table?
x f(x)
216 3
1296 4
7776 5
Answer:
Step-by-step explanation:
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 =
Express the ratio below in its simplest form.
72
:
36
[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answer:
Because it can't be written as a Ratio of two integers
What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year
Answer:
Is there a picture?? I need a picture
Step-by-step explanation:
Plzzzz help meeee plzzzzzs
Which list is in order from least to greatest?
Answer:
6/10 , 5/8 , 2/3
Step-by-step explanation:
The 3rd one
6/10 , 5/8 , 2/3
if you simplify them into fraction it will be :
0.6 , 0.625 , 0.666
My friend needs your help
Answer:
I can't make a graph, but you would start by putting a point at -1 on the Y axis, then plot the rest of the points by going up 4, and over 7 from the original point you plotted
Step-by-step explanation:
I hope you can make sense of that