Answer:
See explanation
Step-by-step explanation:
Let the number of adults = a and the number of children = c.
Since the number of people using the pool is 288, we know that a + c = 288
Based on the price information, we know that 1.75c + 2.5a = 528
Combining these two equations allows us to solve for the values of a and c, the process for which follows
a = 288 - c
1.75c + 2.5(288 - c) = 528
c = 256
a = 288 - c = 288 - 256 = 32
a = 32
c = 256
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A student mistakenly writes the following in his notes: log2a+log2b=log2(a+b) . However, after substituting the values for a and b in a problem, he still gets the right answer. If the value of a is 11, what must be the value of b ? Round your answer to nearest tenth if necessary.
Answer:
b=11/10
Step-by-step explanation:
plug in 11 for "a" and solve for "b"
Rewrite as a product of two factors: 3 + 18d + 21y
Answer:
[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringlet's solve:in the following expression
everytime 3 is common
(3×1)+(3×6d)+(3×7d)
therefore if you take 3 from every expression we get
3(1+6d+7y)which is a product of two factors
The radius of circle B is 6 centimeters. The area of the shaded sector is 31.42 square centimeters. Calculate the angle of the sector. Round to the nearest degree.
Answer:
100
Step-by-step explanation:
i dont know but the website i was on said 100
Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.
Answer:
$4242
Step-by-step explanation:
Given data
Principal= $14000
TIme = 4 years
Rate= 6.85%
Let us find the final amount A
A=P(1+r)^t
substitute
A=14000(1+0.0685)^4
A=14000(1.0685)^4
A=14000*1.303
A=$18242
Hence the interest is
Interest= Final amount-Principal
=18242-14000
=$4242
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
X
Review -
Bookmark
of 15
Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?
Answer:
He would be making 544.8$ each week
Step-by-step explanation:
mathematical literacy
[tex]79 \times 85[/tex]
Answer:
6715
Step-by-step explanation:
I hope this helps, :)
What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
Answer:
The mean is the average of a set of data.
Example:
To find the mean, add up all of the numbers in the set and divide by the number of values that you added.
35 + 36 + 37 + 38 + 40 + 40 + 41 + 42 + 43 + 55 + 55 + 55 + 56 + 57 + 58 + 59 = 747
Then, divide by the number of values, which is 16.
747/16=46.68
Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16
Answer: center is (9, -4)
Step-by-step explanation:
Nigel has 66 pens kat has 1/3 of the number of pens Nigel have calculate the number of pens that have altogether
simplify. draw a box. multiply the binomials together and simplify.
Answer:
D(last answer choice)
Step-by-step explanation:
(5x-6)(3x+4)
Foil it out to get:
[tex]15x^2+20x-18x-24[/tex]
This simplifies to:
[tex]15x^2+2x-24[/tex]
Carla can fill 5 glasses with soda every 20 seconds. Complete the table using equivalent ratios.
Answer:
Glasses 12 : 48 because, when you do 20/5 it equals to 4 so, the ratio will equal to seconds = Glasses • 4
44 seconds = 11 glasses
Step-by-step explanation:
HELLLL I’ll give Brainlist
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree
Answer:
11.2
Step-by-step explanation:
The answer is 11.2 degree
A boat traveled 12 miles north and then
22.5 miles east. What is the shortest
distance the boat must travel to return
to its starting point?
Answer:
25.5 mi
Step-by-step explanation:
12 22.5 X
Let X be the shortest distance we are trying to find.
a units 2 b units 2 c units 2
12 units 2 + (22.5)=c units 2
144+506.25=c units 2
650.25=c units 2
[tex]\sqrt{x} 650.25[/tex]=c units 2
25.5
a=4
3 + a + 7 - 5 + 10 + a -a=
Answer:
3+4+7-5+10+4-4=19
Step-by-step explanation:
3+a=3+4+7-5+10+a=10+4-a=10+4-4=19
What is the equation of the line that passes through the point (-3, 1) and has a
a slope of - 2?
What is categorical data
Answer:
Categorical variables represent types of data which may be divided into groups. It can not measure.
Step-by-step explanation:
picture explains everything ty
Answer:
between B and D.
probably D because is periodic and the line is not continuous.
Then, between the units 4 (max) and 6 (min) is decreasing
There are 10 marbles in a bag : 5 red and 5 blue she draws a marble from the bag at random. The marble is red. She put the marble back into the bag. What is the probability that next marble she draws at random is red ?
Answer:
1/ 2
Step-by-step explanation:
Given that:
Number of marbles, = 10
Number of Red marbles = 5
Number of Blue marbles = 5
Probability, p = required outcome / Total possible
Probability of picking a red marble :
Required outcome = number of red marbles = 5
Total possible outcomes = total number of marbles = 10
Hence,
Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2
what is the product of 4(y)= and
4(5)=
pls answer fast
Step-by-step explanation:
4(5) is 20 bit im not sure exactly what your other question is asking!!?
A right triangle is shown. An altitude is drawn to form a right angle with the opposite side and split the side into lengths of 3 and 3. What is the value of x? One-third StartRoot 2 EndRoot units One-half StartRoot 3 EndRoot units 2 StartRoot 3 EndRoot units 3 StartRoot 2 EndRoot units
Answer:
3√2
Step-by-step explanation:
Find the diagram attached
Sine the base of the triangle are divided equally the opposite angle to the sides will be 45 degrees
Considering one of the right angles triangle;
Hypotenuse = x
Opposite = 3
Angle theta = 45 degrees
According to SOH CAH TOA
sin theta = opp/hyp
sin 45 = 3/x
x = 3/sin45
x = 3/(1/√2)
x = 3 * √2
x = 3√2
Hence the value of x is 3√2
Answer:
d or 4
Step-by-step explanation:
got it right correct me if im wrong, please
what is the distance between (-6-4) and (-5,-4)
Step-by-step explanation:
take as if this points are on a line segment AB
Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2
= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2
= square root of (-1)^2 + (0)^2
= square root of 1 + 0
= square root of 1
= 1 units
The distance from AB is 1 unit
The roof of a clock tower is a square pyramid. Each side of the base is 16ft long. The slant height is 22ft. What is the lateral area of the roof?
Answer:
The area of the pyramid is 703.97 ft²
Step-by-step explanation:
The lateral area of a right square pyramid is given as;
[tex]A_l =a \sqrt{a^2 + 4h^2}[/tex]
where;
a is base length
h is the vertical height of the pyramid
The vertical height of the pyramid is calculated as follows;
the vertical height passes through the center of the base.
half of the base = 8 ft
the slant height = hypotenuse side of the right triangle = 22 ft
Thus; h² = 22² - 8²
h² = 420
h = √420
h = 20.493 ft
The area of the pyramid is calculated as;
[tex]A_l =a \sqrt{a^2 + 4h^2}\\\\A_l =16\sqrt{16^2 + 4(20.493)^2} \\\\A_l = 703.97 \ ft^2[/tex]
Therefore, the area of the pyramid is 703.97 ft²
Solve for x
Literally forgot how to do this..
Answer:
x = 114 ur welcome
Step-by-step explanation:
Answer:
x = 114
Step-by-step explanation:
Given
[tex]\frac{x+18}{4}[/tex] = 33 ( multiply both sides by 4 to clear the fraction )
x + 18 = 132 ( subtract 18 from both sides )
x = 114
Which linear equation contains the points
shown in the table?
A y= 5x + 4
B. y= 4x+5
c y= 5x-4
D. y= 4x-5
Table
x y
1 -1
2 3
3 7
what does the variable x represent?
Five times a number is 28 greater than the product of the number and -2. Find the number
Answer:
4
Step-by-step explanation:
Let the unknown number be x
Five times the number is expressed as 5x
28 greater than the product of the number and -2 is expressed as;
28 + (-2x)
Equating both expressions
5x = 28 + (-2x)
5x = 28 - 2x
5x+2x = 28
7x = 28
x = 28/7
x = 4
Hence the number is 4
A math class has 24 scholars. Each scholar earns 2 HERO points for coming to class and turning in homework on time. The function H(s) = 2s describes the total number of HERO points awarded where s represents the number of scholars. Michael says 31 is a possible output for this scenario. Do you agree or disagree? EXPLAIN for full points.
H=2s
31=2s
S=31/2=15.5 scholars
Answer:no
Step-by-step explanation:
Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales
Responder:
Los cuadros 89 y 91 presentan proporcionalidad directa
El cuadro 90 muestra una correlación directa.
Explicación paso a paso:
De la imagen adjunta:
Cuadro 89:
Para mostrar proporcionalidad directa:
y α x
y = kx; k = constante de proporcionalidad
Comprobando las tablas:
Cuadro 89:
A = 1,5; B = 3
B = kA; 3 = 1.5k
k = B / A
k = 3 / 1,5 = 2
Usando k = 2;
demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.
B = 2 * 2 = 4
Por tanto, el cuadro 89 exhibe proporcionalidad directa
Comprobando las tablas:
Cuadro 90:
C = 2; D = 8
D = kC; 8 = 2k
k = 8/2 = 4
Usando k = 4;
demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.
B
D = 4 * 3 = 12
De la tabla, D = 9;
Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.
Comprobando las tablas:
Cuadro 91:
E = 1; F = 1/2
F = kE; 1/2 = k
k = 1/2
Usando k = 1/2;
demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.
F = 1/2 * 3 = 3/2
Por tanto, el cuadro 91 presenta proporcionalidad directa.