Based on the size of the pool that Mr. DelGrande wants to build, the ratio of the Olympic pool to the smaller pool is 2.5:1 and the area of an Olympic pool is 1,250 m².
What is the ratio of the length of an Olympic pool to Mr. DelGrande's pool?The ratio of the pools is:
Olympic pool length : Mr. DelGrande pool
50 : 20
Simplest terms give:
50 / 20 : 20 / 20
2.5 : 1
What is the area of a regulation Olympic Pool?Given the area of Mr. DelGrande's pool, the area of an Olympic pool is:
= Ratio ² x Area of Mr. DelGrande pool
= 2.5² x 200
= 1,250 m²
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A bag contains 5 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red
Answer:
15
----
153
15=6+3+1
153=18×17÷2
What is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)
The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
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Answer:
Factor x2+4x−45 using the AC method. (x+9) (x−5)
Step-by-step explanation: so B
solve the simultaneous equation
5x + 2 Y = 8
and
X + y = 1
I need help
Answer:
5x+2y=8
2x+2y=2
subtract both eq.
3x-0y=6
3x=6
x=2
x+y=1
2+y=1
y= -1
please tell me the answer of the question please.
Answer:
total price = 100*80 = 8000
donated = 10 *80 = 800
sold = 90*88 = 7290
pofit = cp - sp
cp = 8000 sp = 7290
= 710
Step-by-step explanation:
Find the solution to the equation below.
2x²+3x-20=0
Answer:
[tex]x=\frac{5}{2}[/tex] or x= -4
Step-by-step explanation:
To solve the quadratic equation, start by factorizing it.
[tex]2x^{2} +3x-20=0[/tex]
(2x -5)(x +4)= 0
Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.
2x -5= 0 or x +4= 0
Solve for x:
2x= 5 or x= -4
[tex]\bf{x=\frac{5}{2}}[/tex]
_______
Alternatively, the quadratic formula can be used to solve the equation.
[tex]\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }[/tex]
This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of [tex]ax^{2} +bx +c=0[/tex].
Additional:
For an example on solving quadratic equations using the quadratic formula, do check out the following!
https://brainly.com/question/27739892someone pls help it is due on monday and thank you
The next model of a sports car will cost more than the current model. The current model costs . How much will the price increase in dollars? What will be the price of the next model?
Increase in price:
Price of next model:
Answer:
Step-by-step explanation:
1. Given that $53000 represents 100% of the original cost. You know that 6.9% as a percentage is equivalent to 0.069 as a decimal.
Increase in price:
= 53000 * 0.069
= $3657
2. The question states that the price of the car model is increasing, so you must add the original cost to the increase in price.
Price of next model:
= 53000 + 3657
= $56657
Li has to read four books from a list of 10 books. how many sets of four books can be made?
Answer:
2 sets
Step-by-step explanation:
we have to divide 4 into 10...
so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.
Answer:
its 7 not 2
Step-by-step explanation:
because
im right
The area of a rectangle is 20. The length is 5, and the width is the √x. What is the value of x? What is the width of the rectangle?
A. The value of x is 4. The width is 16.
B. The value of x is 16. The width is 4 or –4.
C. The value of x is 4. The width is 2.
D. The value of x is 16. The width is 4.
Answer:
D
Step-by-step explanation:
5([tex]\sqrt{x}[/tex]) = 20 Divide by 5
[tex]\sqrt{x}[/tex] = 4 Square both sides
x = 16
Widths can't be negative
Answer: D
Step-by-step explanation:
A = LW
[tex]\sqrt{x}[/tex] * 5 = 20
[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex] (square both sides)
x * 25 = 400
25x = 400
[tex]\frac{25x}{25} = \frac{400}{25}[/tex] (divide both sides by 25)
x = 16
[tex]\sqrt{16} = 4[/tex]
x = 16, and the width is 4.
Fine the length of the third side. If necessary, write in simplest radical form
Answer:
7.2
Step-by-step explanation:
(6)^2 + (4)^2
36 + 16
52
square root of 52 = 7.2
A paper plate has a diameter of 9 inches. What measure is closest to the area of the plate?
Answer:
63.62 inches squared
Step-by-step explanation:
The formula for the area of a circle is πr^2
r (Radius) is half of the diameter
r = 9/2
r = 4.5in
π x 4.5^2=
π x 20.25 = 63.6172512352
to 2 dp: 63.62 inches squared.
Answer:
The area of a plate with a diameter of 9 is 63.585
Step-by-step explanation:
A = πr² use 3.14 as pi
r = [tex]\frac{1}{2}[/tex] d
[tex]\frac{1}{2}[/tex] × 9 = 4.5
r = 4.5
A = 3.14 × 4.5²
A = 3.14 × 20.25
A = 63.585
Hope this helps!
Last semester 150 out of thwhat is the 800 student at jungle junior high made the honor roll
what percent of the students made the honor roll
Answer:
Your sentence got cut out or sum.
Step-by-step explanation:
I'm assuming it's asking: What is 150 out of 800?
If so:
150/800 --> 3/16
3/16 --> Percent Form: 18.75%
Final Answer: 18.75%
Two whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?
Answer:
106 students
Step-by-step explanation:
If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10
and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls
=96+10= 106 students
⋆ ˚。⋆୨୧˚hope this helped˚୨୧⋆。˚ ⋆
Mala walks her dog 3 times a day.
Each walk 3/4 ismile
Which expression tells how many miles Mala walks her dog each day?
Answer:
3/4 x 3 (top right)
Step-by-step explanation:
one you selected is incorrect
help me please!!! i cant do these
Answer:
sec(B)=b. ab/bc
sin(B)=c. ac/ab
csc(B)=f. ab/ac
cot(B)=a. bc/ac
tan(B)=e. ac/bc
cos(B)=d. bc/ab
Step-by-step explanation:
SOHCAHTOA
Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Tangent=Opposite/Adjacent
SHACHOCotAO
Secant=Hypotenuse/Adjacent
Cosecant=Hypotenuse/Opposite
Cotangent=Adjacent/Opposite
Which expression has a value of 20? 9 + 21 ÷ (3 + 2 × 5) (9 + 21) ÷ 3 + 2 × 5 9 + (21 ÷ 3 + 2) × 5 9 + 21 ÷ (3 + 2) × 5
Answer:
i don't now the answer so can you be more specific so i can help you
Step-by-step explanation:
Maybe this helps :}}}}}
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Need help Bad
Answer:
D) 5 inchesStep-by-step explanation:
GivenA box with the volume of 150 in³
Dimensions of the box are
2, x and x + 10, where x- width, (x + 10) - lengthThe volume of the box is
V = lwhSubstitute the values and solve the equation for x
x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)The width of the box is 5 in
Correct choice is DConsider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)
A. x=3
B. x=4
C.x=5
D. x-6
Answer:
(5,4)
Step-by-step explanation:
What is the solution of two function?
The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.
How do identify the solution via graph.
We can identify the solution of a system of equations via graph by looking at where the two functions intersect.
Identifying the solution.
Looking at the graph, the two lines intersect at (5,4)
The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)
The rule is
If two lines are graphed then their solution is their intersection point .
Here both f(x) and g(x) are intersecting at
(5,4)So (5,4) is solution
Option C is correct
Points P(-10,10) and Q(6,-2) give the diameter of a circle.
Determine the equation of the circle in standard form
The equation of the given circle with points P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circle objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).
Centre coordinate = midpoint of P(-10,10) and Q(6,-2).
Midpoint of P(-10,10) and Q(6,-2)
[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )
Diameter of circle = length between P(-10,10) and Q(6,-2).
lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.
The equation of a circle with a center (-2,4 ) and diameter of 10 is given by
(x-2)² +(y-4)² = 10² hence it will be correct.
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lim x→∞ √x²+x(2a+2b)+4ab-x
notice : all coefficients and variables are in the root
AND IF YOU CAN'T ANSWER, DON'T ANSWER THIS QUESTION!!!!!
( WITH THE STEPS!)
[tex]\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty[/tex]
Evaluate 1/4 c + 3d when c = 6 and d = 7
Answer:
SolutioN :
Just plug in the values of c & d in the given expression and calculate :[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]
[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]
Our final answer is 45/2 .--------------HappY LearninG <3 -------
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Evaluate 1/4c+3d when c=6, and d=7.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Replace c with 6, and d with 7:-
[tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]
[tex]\bigstar[/tex] Adding the numerators,
[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]
[tex]\bigstar[/tex] Finally, Reducing the fraction:-
[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]
[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
Please show me how you got this answer [tex]\sqrt{18a^2}*4\sqrt{3a^2}[/tex]
Answer:
Step-by-step explanation:
Comment
18 factors into 2 * 3 * 3
Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.
The same rule applies to the two 3s that factor 18.
What you get is
3a√2 * 4*a*√3
Answer 12a^2 √2 * √3
Answer: 12a^2 * √6
If the diameter of a circle is 14 cm then find its 22 circumference.
Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
Question 3
A theatre group sold 4830 tickets for their show
This was 15% more than they sold last year.
How many tickets did they sell last year?
Answer: 4105.5
Step-by-step explanation:
The number of tickets sold in the previous year is 3723.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.
Therefore, the tickets sold in the previous year is:
4380 - 15% of 4380
= 4380 - 15×4380/100
= 4380 - 657
= 3723
Hence, the number of tickets sold in the previous year is 3723.
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Synthetic Division to Find Zeros (Lev 1)
May 25, 1:20:18 PM
Watch help video
If ƒ(x) = x³ – 11x² + 26x — 16 and x – 1 is a factor of f(x), then find all of zeros
Johnathan sold hamburgers and hotdogs at the basketball game. each hamburger cost $4.75, and each hot dog cost $2.50. he sells a total of 50 hamburgers and hotdogs. he collects a total of $170. which system of equations can be used to determine how many hamburgers he sold, x, and how many hot dogs he sold, y?
I'm pretty sure it's water bro
what is a foot plus 9 feet plus 20 feet equal too
Answer:
30 ft.
Step-by-step explanation:
1 + 9 + 20
= 30.
Answer: 30
Step-by-step explanation:
1. Simplify 1+9 to 10
10+20
2. Simplify
30
Done! Hope this helps.
Write the converse of the following statements:
1. If two angles are both obtuse, the two angles are equal.
2. If 3 - 2x = 13, then x = -5.
3. If 2 angles are supplementary, then they are not equal.
For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
What is the converse of a statement?A conditional statement with the antecedent and effect reversed is known as a converse statement.
We have statement:
1. If two angles are both obtuse, the two angles are equal.
Converse: The two angles are equal if the two angles are both obtuse.
2. If 3 - 2x = 13, then x = -5.
Converse: x = -5 if the equation is 3 - 2x = 13
3. If 2 angles are supplementary, then they are not equal.
Converse: Two angles are not equal if 2 angles are supplementary.
Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
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Which of the following correctly uses the Pythagorean Theorem to find the missing side ?
A. 8² + (10)² = 2²
B. X + 8=10
C. x² +8² = (10)²
D. x² + (10)² = 8²
Answer:
C
Step-by-step explanation:
hyp² = opp² + adj²
10² = 8² + x²
what’s the geometric mean between 40 and 30????
Hi Student!
In the question we are given two numbers and told to find the geometric mean of them. A normal mean would be just taking the average by multiplying them against each other and dividing by two. However, for geometric mean we multiply them against each other but put them inside of a square root.
[tex]mean = \sqrt{a*b}[/tex]
[tex]mean = \sqrt{40*30}[/tex]
[tex]mean = \sqrt{1200}[/tex]
[tex]mean = \sqrt{20^2*3}[/tex]
[tex]mean = 20\sqrt{3}[/tex]
Therefore, our geometric mean is [tex]34.64[/tex] or [tex]20\sqrt{3}[/tex].
How to simplify the ratio of 40cm : 2m