[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factorisation.
Since here both are the roots of the quadratic equation in the factor form, hence
equate them to zero, to get the value of x
hence,
2x-9 = 0
===> x = 9/2
and
3x+5=0
===> x = -5/3
Answer: ............
Step-by-step explanation:
In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many leaves are on the tree
Percentage of yellow leaves on a tree during Autumn = 40%
Percentage of green leaves on a tree during Autumn = 24%
Percentage of half yellow leaves on the tree during Autumn :
[tex] = \tt100 - 40 + 24[/tex]
[tex] = \tt 100 - 64[/tex]
[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%
Number of half yellow leaves on the tree = 36%
Let the total number of leaves on the tree be x.
Which means :
[tex] = \tt36 \% \: of \: x = 72[/tex]
[tex] = \tt \frac{36}{100} \times x = 72[/tex]
[tex] = \tt \frac{36 \times x}{100} = 72[/tex]
[tex] = \tt \frac{36x}{100} = 72[/tex]
[tex] = \tt 36x = 72 \times 100[/tex]
[tex] = \tt36x = 7200[/tex]
[tex] = \tt x = \frac{7200}{36} [/tex]
[tex] \color{plum} = \tt \: x = 200[/tex]
Thus, total number of leaves on the tree = 200
Number of yellow leaves on the tree :
[tex] = \tt40 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{40}{100} \times 200[/tex]
[tex] = \tt \frac{40 \times 200}{100} [/tex]
[tex] = \tt \frac{8000}{100} [/tex]
[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]
Thus, total number of yellow leaves on the tree = 80
Number of green trees on the tree :
[tex] = \tt24 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{24}{100} \times 200 [/tex]
[tex] = \tt \frac{24 \times 200}{100} [/tex]
[tex] = \tt \frac{4800}{100} [/tex]
[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]
Thus, the total number of green leaves on the tree = 48
Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.
▪︎Therefore, the total number of leaves on the tree = 200
The number of leaves is on the tree is 200.
Given that,
There is 40% of the leaves that should be yellow.24% of them should be green.And, the remaining should be 72 leaves that represent half yellow.Now as per the above explanation:
The percentage of half yellow trees should be= 100 - 40 + 24
= 100 - 64
= 36
Here we assume the number of leaves on the tree be x
So,
36% of x = 72
x = 200
Therefore we can conclude that the number of leaves is on the tree is 200.
Learn more about the tree here: brainly.com/question/2656951
Nathan launches a water balloon vertically from a platform on his roof. The height of the balloon (in feet) is represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds) after he launches the water balloon. What is the maximum height of the balloon?
Answer:
45.27feet
Step-by-step explanation:
Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)
Note that the velocity of the balloon at maximum height is zero, hence;
v = dh/dt =0
-32t+28.7 = 0
-32t = -28.7
t = 28.7/32
t = 0.897secs
Get the maximum height
Recall that h=−16t²+28.7t+32.4
h = -16(0.897)²+28.7(0.897)+32.4
h= -12.87+25.74+32.4
h = 45.27feet
Hence the maximum height reached is 45.27feet
select all sets of side lengths that could form a triangle
HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi
diameter = 3 ft
A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft
Circumference = Pi x diameter
Circumference = 3.14 x 3 feet
Circumference = 9.42 feet.
The answer is B. 9.42 feet
Please help I need it for today
Step-by-step explanation:
Disculpe pero de qué grado es usted para ayudarle un poquito más mejor
Rachel found 2 quarts on the floor.what decimal represents the 2 quarters
joe sold half of her comic books, then she bought 18 more. She now has 36. With how many did she bigin?
Answer: Joe began with 36 books.
Step-by-step explanation:
x/2+18=36. 36+18=x. x/2-18=36.
Are 12/7 and 36/21 proportional
Answer:
Step-by-step explanation:
Cross multiply:
12 * 21 = 7 * 36
Simplifying
12 * 21 = 7 * 36
Multiply 12 * 21
252 = 7 * 36
Multiply 7 * 36
252 = 252
Add '-252' to each side of the equation.
252 + -252 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
(hope this helps can i plz have brainlist :D hehe)
From the calculations below, 12/7 and 36/21 are proportional, therefore, the statement is true.
The first fraction given is 12/7.
The second fraction given is 36/21.
In order to check, we can multiply both the numerator and the denominator by 3. This will be;
= (12 × 3) / (7 × 3)
= 36 / 21
Therefore, it has been solved that 12/7 and 36/21 are proportional.
Read related link on:
https://brainly.com/question/18759132
Solve for p.
16p = 160
Answer
160 divided by 16 = 10
Answer: 16p=160:
P = 10Step-by-step explanation:
If you times by ten at any time then just add a zero to the end. So just add a zero to 16 to make it 160
In this case your going to solve it like this:
160 / 16 = 10The team ratio of games won to games played was 2 to 7. If the team played 49 games, how many games did the team fail to win?
Answer:
they failed to win 35 games
what is the answer to (13x+30)-(20x+6)
Mr. Hepworth bought a new refrigerator for $975 after a 25% discount, how much did the refrigerator cost originally?
Answer:
954
Step-by-step explanation:
Answer:
1218.75
Step-by-step explanation:
25% of $975 = 243.75
Discounted price + Discount = Original Price
$975 + 243.75 = 1218.75
-5 = x - 5
Solve the following equation
Answer:
0
Step-by-step explanation:
Help ME PLEASE!!!!!!!!!!!
If half of the pizza was cut into thirds, and you ate 1 of the 3 slices left, you would have eaten 1/6 of the leftovers.
Try 1/6.
Last season, Patrick Mahomes threw for 4,800 yards in 16 games. This season, he had a 15% increase in the number of yards he threw per game.
How many yards did he throw per game after the increase?
Answer:
345 yards.
Step-by-step explanation:
4800/16 = 300
300 increase 15% =
300 × (1 + 15%) = 300 × (1 + 0.15) = 345
what is the domain for y=7^x
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. Use the graph to find the range.
Step-by-step explanation:
Explanation: y=7 is a straight line with zero slope and y-intercept 7 as shown below. Hence its domain (all allowed x-values) is all real numbers, and its range (all allowed y-values) is only 7.
I hope this helped~ <3
-Dream
Answer:
There are no real numbers
What is the result when 3x3 + 20x2 – 11x – 28 is divided by x + 7?
Answer:
Step-by-step explanation:
Let's perform this division using synthetic division. The coefficients of the given expression are {3, 20, -11, -28}, and the appropriate divisor is -7 (that comes from x + 7):
-7 / 3 20 -11 -28
-21 7 28
-------------------------------------
3 -1 -4 0
Since the remainder is 0, -7 is a root of the given expression, and the coefficients of the quotient are {3, -1, -4}. The quotient is therefore
3x^2 - x - 4
Which of the following represents the solution set to 4x^2+8x-1=0?
Answer:
4
Step-by-step explanation:
A person invests 3000 dollars in a bank. The bank pays 6% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7700 dollars?
Answer:
16 years approx
Step-by-step explanation:
Given data
P=$3000
r= 6%
A= $7700
t= ??
The compound interest formula is
A= P(1+r)^t
Calculate time, solve for t
t = ln(A/P) / r
substitute
t= ln(7700/3000)/0.06
t= ln(2.566)/0.06
t= 0.942/0.06
t= 15.7
The time is 16 years approx
imao help me with zearn
Answer:
4
Step-by-step explanation:
if there are 8 ounces for 2 then there are 4 ounces for 1.
Answer:
with what?
Step-by-step explanation:
Triangle A'B'C' is the image of triangle ABC after a sequence of rigid motions,
Answer:
The sequence are:
i. reflection about the y-axis
ii. 2 units translation downwards
iii. 1 unit translation to the right
Step-by-step explanation:
Rigid transformation is a process of producing the image of a given figure or shape by either reflection, rotation, dilation or translation method. Thus the orientation and size of the figure changes with respect tot the method applied.
For the given question, some sequence were applied to produce the image of ABC.
The sequence are:
i. reflection about the y-axis
ii. 2 units translation downwards
iii. a unit translation to the right
The population of a city has increased by 38% since it was last measured. If the current population is 89,700, what was the previous population.
Answer:
65000
Step-by-step explanation:
Given data
Let the previous population be x
the increase was by 38%
The expression below describes the current population
38/100*x+ x=89700
0.38x+x= 89700
1.38x= 89700
x= 89700/1.38
x= 65000
Hence the previous population is 65000
If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP
Answer:
365.76
Step-by-step explanation:
If 2 feet is 60.96, then 1 foot is 30.48.
30.48 times 12 = 365.76
365.76 centimeters is the answer.
Hope this helps!
Plz, mark brainliest!
Answer:
365.76 cm in 12 feet
Step-by-step explanation:
Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)
Now we can cross multiply, which gives us 12*60.96=2*x
Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.
Olivia has at most 90$ to spend on clothes she wants to buy a pair of jeans for 22$ and spend the rest on shirts that cost 8$ each what is the greatest number of shirts she can buy
Answer:the greatest number of shirts she can buy = 8
Step-by-step explanation:
Amount of money Olivia has =$90
cost of pair of jeans =$22
such that if she buys the pair of jean, Money left to buy shirts = $90-$22= $68
If 1 Shirt= $8
Number of shirts she can buy with $68 = $68/$8= 8.5= 8 1/2
Therefore the greatest number she can buy = 8 shirts.
Round 1.4876 to the nearest TENTHS
Answer:
You should get 1.5
Step-by-step explanation:
A centipede weighs 10-3 grams. A centipede is carnivorous and can increase weight daily. If it
increased 103 times its body weight each day, how many grams of food can the centipede eat
each day?
Answer: it’s one gram
Step-by-step explanation:
I just answered it
How to change a decimal into a fraction? Specific question: change 1.25 to an exact percent?
Answer:
125%
Step-by-step explanation:
1.25 x 100% = 125%
Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45
Answer:
Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]
✔ [tex]j[/tex] = –0.45
[tex]j[/tex] = –0.25
[tex]j[/tex] = 0.25
[tex]j[/tex] = 0.45
Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .
Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .
[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]
Add [tex]-11j[/tex] and [tex]1.5j[/tex] .
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Move all terms containing [tex]j[/tex] to the left side of the equation.
Subtract [tex]0.5j[/tex] from both sides of the equation.
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].
[tex]- 10j - 5.5 = - 1[/tex]
Move all terms not containing [tex]j[/tex] to the right side of the equation.
Add [tex]5.5[/tex] to both sides of the equation.
[tex]-10j = -1 +5.5[/tex]
Add [tex]-1[/tex] and [tex]5.5[/tex] .
[tex]10j=4.5[/tex]
Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.
Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].
[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]
Simplify the left side.
Cancel the common factor of [tex]-10[/tex].
[tex]j= \frac{4.5}{-10}[/tex]
Cancel the common factor.
[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]
Divide [tex]j[/tex] by [tex]1[/tex]
[tex]j=\frac{4.5}{-10}[/tex]
Simplify the right side.
Divide [tex]4.5[/tex] by [tex]-10[/tex].
[tex]j=-4.5[/tex]
The Final Answer is
[tex]j=-4.5[/tex]
9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?
Answer:
8% interest rate
Step-by-step explanation:
step-by-step explanation: intrest = 484
A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
a) 15
b) 20
c) 180
d) 360
WILL MARK BRANLIEST!
Answer:
I'm pretty sure its 180 !!