The dimensions of pool 25.5m width, 76.5m length.
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.
let x= Width
formula of area of rectangle = Length x Width
Given;
[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]
We can substrate [tex]3x^{2}[/tex] and 4 from both sides.
8x = 204
x = 25.5m width, 76.5m length.
(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]
(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]
The difference is 208[tex]m^{2}[/tex]
The dimensions of pool 25.5m width, 76.5m length .
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If a numberis divisible by two co-prime numbers then it is also divisibe by their product
It's true that co-prime number is divisible by their product.
Co-prime numbers are pairs of numbers that do not have any common factor other than 1.
e.g., ( 4,7), (2,3), (5,7,9) etc.
Let's take two co-prime numbers i.e., x and y i.e., (x, y)
The product of them is ( x × y)
Therefore,
x × y/ x = y ,and x × y/ y = x
Lets understand with an example,
Let's take two co-prime be (2,5), its product be 2×5 = 10
so when we divide product with the number i.e., 10/2=5 and 10/5=2 which is divisible.
Therefore the co-prime number is divisible by their product.
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need help what the awnser is.
b - 6 = 21
the question is "what is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted"
please help!
Answer:
Rate Of Change= 7
Step-by-step explanation:
all you have to do is see the difference, imma make a table here first
x y
1 10
3 24
6 45
11 80
15 108
from 10 to 24 you add 14
from 1 to 3 you add 2
so y/x
14/ 2 = 7
check:
from 24 to 45 you add 21
from 3 to 6 you add 3
so y/x
21/3 = 7
From y/x your final answer will always be 7.
So the rate of change will be 7.
Hope this helped a little!
A and B largest HCF is 65. The ratio of A + B and A - B is 4 : 1. What is A?
Answer:yes me too please someone answered it
Step-by-step explanation:
Evaluate the expression when a=7 and c=-7
a-9c
Answer:
Step-by-step explanation:
(7)-9(-7)
7+63
70
let x be a normal random variable with mean -2 and variance 9, and let z be a standard normal random variable. which expression in terms of z is p(x ≤ -1) equal to?
Expression in terms of z is p(x ≤ -1) equal to p( z ≤ 1/3) .
What does a math expression mean?
A group of terms coupled with the operations +, -, x, or form an expression, such as 4 x 3 or 5 x 2 3 x y + 17. A statement with an equals sign, such as 4 b 2 = 6, asserts that two expressions are equal in value and is known as an equation.Mean = -2 variance = σ² = 9 ⇒ 3
z = x - μ/σ ⇒ x -(-2)/3
z = x+2/3
z = - 1+ 2/3 = 1/3
p(x ≤ -1) = p( z ≤ 1/3)
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Can someone please please help me
Answer:
y=6
Step-by-step explanation:
Answer:
The 5th one
Step-by-step explanation:
Common sense
Please help me out with this
Answer:
x=–1
PR=3x+41
Step-by-step explanation:
So, PQ and QR have a point in common which is x, now let's calculate that first
[tex]6x + 25 = 16 - 3x = = = > \\ 9x = - 9 = = > \\ x = - 1[/tex]
PQ+RQ===> PR
[tex]6x + 25 + 16 - 3x = 3x + 41[/tex]
In one year, a school uses 13,470 pieces of white paper, 7,970 fewer pieces of blue paper than white paper, and 2,400 fewer pieces of yellow paper than blue paper. how many pieces of paper does the school use in all? solve on paper. then check your answer on zearn. the school uses pieces of paper.
The school uses 22,070 pieces of paper in all.
What is algebraic operations?Algebraic operation is any one of the common operations of arithmetic, Which include addition, subtraction, multiplication, division, raising to a Whole number power, and taking roots (fractional power). These Procedures could be applied to numerical data, in which case they are Frequently referred to as arithmetic operations. Similar operations can be Carried out on variables, algebraic expressions, and, more generally, on Components of algebraic structures like groups and fields. A Mathematical operation could also be defined simply as a function from a Cartesian power of a set to the same set.
Given that:school uses 13,470 pieces of white paper, 7,970 fewer pieces of blue paper than white paper, and 2,400 fewer pieces of yellow paper than blue paper.
The school uses 22,070 pieces of paper in all.
IT is already given that the school uses 13,470 pieces of white paper. Then it says that there are 7,970 fewer pieces of blue paper than white Paper. So if you subtract 7,970 from 13,470, you get that the school used 5,500 pieces of blue paper. Then it says that there are 2,400 fewer Pieces of yellow paper than blue paper. So when you subtract 2,400 From 5,500, you get that the school used 3,100 pieces of yellow paper. So if you do 13,470+5,500+3,100, you get that the school used 22,070 Pieces of paper in total.
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Mrs. Gildner brought everyone that passed their Math test to Cold Stone Creamery for a treat. The cost for everyone to ice cream was $154.00. If she leaves a 15% tip, how much tip will she leave?
A. $130.90
B. $177.10
C. $139.00
D. $23.10
The volume of a cube is 125 cubic inches what is the length of 1 edge of the cube
Answer:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.
Step-by-step explanation:
Mark me as brainliest!
Can someone please help me on this one?
A female mouse can give birth to one dozen babies in a single litter. 78 mice each had a dozen had a dozen babies, called pups. How many pups are there?
Strategy:
Why did you choose this strategy:
Answer:936 (not sure)
Step-by-step explanation:78 x 12=936
1 dozen=12
each= multiplication
A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t
The inequality equation for the measurements of the rectangular field must satisfy t<225.
What is an inequality ?If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
The length of the rectangle is 2t meters
the breadth of the rectangle is 50 meters
The perimeter of the rectangle is given by 2×(length+breadth)
Here the perimeter of rectangle is less than 1km=1000meter
Forming an equation with the given data
2×(2t+50)<1000
2t+50<[tex]\frac{1000}{2}[/tex]
2t+50<500
2t<500-50
2t<450
t<[tex]\frac{450}{2}[/tex]
t<225
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The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"
Jon is cooking enough lentils for lentil barley soup and lentil salad .The lentil barely soup recipe calls for 1/2 cup of dried lentils. The lentil salad recipe calls for 1 1/2 cups of dried lentils. Jon had 1/8 cup scoop. How many scoops of dried lentils will Jon need to have enough for the soup and the salad
Answer:
1/8 scoop
Step-by-step explanation:
at a popular night club, the ratio of women to men is 20:11. if 7 men arrived to the club, the ratio would be 3:2. how many men are currently at the party?
Before there were 33 men and then 7 men arrive total men are 40.
• In mathematics, ratio is an ordered pair of numbers x and y, written x/y where value of y is not equal to 0. A proportion is an equation In which two ratios are made equal to each other.
Since the initial ratio is 20 : 11,
Lets assume there are 20x women and then the number of men will be 11x.
If 7 men arrive more the ratio will become 3 : 2
20x / (11x + 7 ) = 3/2
40x = 33x + 21
7x = 21
x = 3
Initial men = 11x = 11(3) = 33
When 7 more men arrive , total men = 33 + 7 = 40
Before there were 33 men and then 7 men arrive total men are 40.
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You are driving 72 miles per hour on the highway. Write an expression that represents the distance you travel in t hours. How far will you travel in 3.25 hours?
Answer: ~
Expression: 72x ; Answer: 234 mph
Step-by-step explanation:
Input the value desired, 3.25 seconds, into the variable, x, and multiply 72 by 3.25 and you have the product of 234 miles per hour.
Simplify the expression by combining like terms:
Step-by-step explanation:
[tex]1 + 5a + 7a^{2}+a+3\\[/tex]
so you have [tex]7a^{2}[/tex]
5a + a = 6 a
and 1 + 3 = 4
Answer: [tex]7a^{2} + 6a + 4[/tex]
Answer:
7a² + 6a + 4
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The expression is,
→ 1 + 5a + 7a² + a + 3
Let's simplify the expression,
→ 1 + 5a + 7a² + a + 3
→ 7a² + 5a + a + 1 + 3
→ (7a²) + (5a + a) + (1 + 3)
→ 7a² + (6a) + (4)
→ 7a² + 6a + 4
Hence, answer is 7a² + 6a + 4.
Unscramble the word
"FUETCRELSP"
Answer:
Respectful ??
Step-by-step explanation:
Answer:
ldlelskekkskek
Step-by-step explanation:
zkmelslelslsps
math question again:)
alguien me puede decir hola? me haría feliz ;)
Answer:
¡Hola!
Step-by-step explanation:
can someone help please and explain i’m gonna mark brainliest!!
Answer:
I believe it is C
Step-by-step explanation:
According to the 30-60-90 rules for the length of the sides. the short leg is x the long leg is xsquareroot3 and the hypotenuse is 2x. Following that rule, A is 3square root 3 and b is 3
plz help asap i'll give brainlest
Answer:
X=11
Step-by-step explanation
[tex]5^{3+8} =5^{11}[/tex]=11
Find the value of x. helpp!!
Answer:
Step-by-step explanation:
s=180(8-2)
s=1080
So
106+(180-11x)+(180-12x)+143+(180-17x)+130+(180-12x)+137=1080
-52x=1080-1236
-52x=-156
x=3
Han's cell phone plan costs $200 to start. Then there is a $50 charge each month.
What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?
What is the total cost (start up fee and monthly charge) to use the cell phone plan for 3 months?
Answer:
$250 for 1 month
$350 for 3 months
Step-by-step explanation:
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
Answer:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.
Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:
y - y1 = m(x - x1)
y - 2 = (-4/5) * (x + 3)
[tex]y-2=\frac{-4}{5} (x+3)[/tex]
Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:
y = mx + b
y = (-4/5)x + b
Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:
y = (-4/5)x + b
2 = (-4/5) * (-3) + b
2 = 12/5 + b
b = -2/5
So, the y-intercept is -2/5. Then the slope-intercept form is:
[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
Thus, our two equations are:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
hugh bought 2 bottles of water. if the total cost of the water was $4.50, which equation could be used to find the cost of each bottle of water.
identify the function shown in this graph
A. y= -x - 4
B. y= x + 4
c. y= x - 4
y. = -x + 4
Answer:
The function in the graph
=y=-x-4
Step-by-step explanation:
y= -x-4
y=+4
while X=-4
Answer:Y=x+4
Step-by-step explanatio
Adult and student tickets to the high school basketball
game are sold each week. For every 4 adult tickets, nine
student tickets are sold. How many total tickets were sold if
88 adult tickets were sold?
Answer:
286
Step-by-step explanation:
I need help finding the missing lengths
Answer:
what missing lengths il try to help. the answer is 5/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
this missing is watch a video about it
|5x2|=8
solve for x
Pls help plsss
Step-by-step explanation:
click on the picture it will show u how to do it, if u need more help with math like this I recommend using photoxmath it's a free app.
Answer: | 5x2 | = 8
Step-by-step explanation:
x= 10 = 8