Answer:
192 children and 145 adults were admitted.
Step-by-step explanation:
Let c represent the amount of children and let a represent the amount of adults.
Total fees for children = (Fee for one child) x (Amount of children) = 6.5c
Total fees for adults = (Fee for one adult) x (Amount of adults) = 15a
Total fees = Total fees for children + Total fees for adults
3423 = 6.5c +15a
We know that the amount of people who entered the park was 337. Therefore a+c=337, which means a=337-c.
Sub this in to the equation above to get:
3423 = 6.5c +15 (337-c)
3423 = 6.5c + 5055 - 15c
-1632 = -8.5c
c = 192
So there were 192 children.
Since a=337-c and c=192, a=337-192=145. So there were 145 adults.
A water tank is a cube of side 2m the depth of the water in it is 60cm. What is the volume of the water in the tank?
Answer:
8 METERS CUBES I THINK
Step-by-step explanation:
VOLUME IS LENGTH TIMES WIDTH TIMES HEIGHT
2 METERS TIMES 2 METERS TIMES 2 METERS IS 8 METERS
P(x) = 4x3 + 5x + 9, D(x) = 2x + 1
Two polynomials P and D are given. Use either synthetic or long division to divide
P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x)
How do i solve this?????
Answer:
Step-by-step explanation:
-3x-5y=-7
Find slope of perpendicular line
Answer:
5/3
Step-by-step explanation:
We need to rewrite the equation in slope intercept form
y =mx +b where m is the slope
-3x-5y = 7
Add 3x to each side
-5y = 3x+7
Divide by -5
y = -3/5 x -7/5
The slope of this line is -3/5
Perpendicular lines have slopes that are negative reciprocals
-1 / (-3/5)
5/3
The slope of the perpendicular line is 5/3
A right triangle is shown below.
45°
3 units
What is the tan of x?
Answer:
Tan x = 1
Step-by-step explanation:
As a tangent of 90° is impossible, x must be the measure of both of the 45° angles.
If we assume 3 is the length of one of the shorter legs, it is also the length of the other of the shorter leg
Tangent x = Opposite/Adjacent = 3/3 = 1
need help with this algebra ii question
Answer:
-23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + c
f(4) = -7
Step 2: Solve for c
Substitute in variables [Function f(x)]: -7 = 4² + cEvaluate exponents: -7 = 16 + c[Subtraction Property of Equality] Subtract 16 on both sides: -23 = cPLEASE HELP!!!!! A satellite telescope has a parabolic dish. Satellite signals are collected at the focal point (focus) of the
parabola. The distance from the vertex of the parabolic dish to the focus is 40 feet. The vertex of the dish is
located at a point 50 feet above the ground and 100 feet to the east of a computer that reads and records
data from the telescope. The diameter of the dish is 160 feet.
The dish illustrates operations on a parabola.
The depth of the parabolish dish is 160 feet.
The bowl is said to be a parabola.
So, we have:
[tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
Where:
[tex]\mathbf{Focus: p = 40}[/tex]
[tex]\mathbf{Vertex:(h,k) = (0,0)}[/tex]
From the question, the diameter is 160 feet.
So, the radius (r) is:
[tex]\mathbf{r = \frac{160}{2} = 80}[/tex]
So, the coordinate of the depth of the parabola would be:
[tex]\mathbf{(x,y) = (60 + 100,y)}[/tex]
[tex]\mathbf{(x,y) = (160,y)}[/tex]
Substitute these values in [tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
So, we have:
[tex]\mathbf{(160 - 0)^2 = 4 \times 40 \times (y -0)}[/tex]
[tex]\mathbf{160^2 = 160y}[/tex]
Divide both sides by 160
[tex]\mathbf{160 = y}[/tex]
Rewrite as:
[tex]\mathbf{y = 160 }[/tex]
Hence, the depth of the parabolish dish is 160 feet.
Read more about parabolas at:
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3,047.092 in expanded form.
Answer:
it would be-3,000.000+40.000+7.00+0.09+0.002
Step-by-step explanation:
If f(x) = –2x3, g(x) = 3x – 5, and h(x) = x – 1, what is f(g(h(3)))?
–129
–54
–53
–2
Answer:
[tex]f(x) = - 2 {x}^{3} \\ g(x) = 3x - 5 \\ h(x) = x - 1 \\ g(h(x)) = 3(x - 1) - 5 \\ = 3x - 3 - 5 = 3x - 8 \\ f(g(h(x)) )= - 2 {(3x - 8)}^{3} \\ f(g(h(3)) )=- 2 {(3(3) - 8)}^{3} \\ = - 2 {(9 - 8)}^{3} \\ f(g(h(3)) )=- 2[/tex]
Find the measure of the angle with the red dot (NOT X.)
Picture Included. Thank you!
Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
7.C.J. says the quotient of -3/4 divided by 1/4 is - 1/3
a What is the correct quotient?
bWhat mistake did CJ likely make?
a. He multiplied the reciprocals of both fractions.
b. He added -3/4 and 1/4
c. He multiplied-3/4 by 1/4
d. He multiplied using the reciprocal of -3/4.
The correct quotient is -3
The mistake CJ likely made is multiplying using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4
From the question,
We are to determine the correct quotient.
The given division operation to be carried out is -3/4 divided by 1/4
The correct quotient can be determined as shown below
[tex]-\frac{3}{4} \div \frac{1}{4}[/tex]
Multiply [tex]-\frac{3}{4}[/tex] by the reciprocal of [tex]\frac{1}{4}[/tex]
The reciprocal of [tex]\frac{1}{4}[/tex] is [tex]\frac{4}{1}[/tex]
Then, we get
[tex]-\frac{3}{4} \times \frac{4}{1}[/tex]
This gives
[tex]-\frac{12}{4}[/tex]
= -3
The correct quotient is -3
The mistake CJ likely made is multiplying using the reciprocal of -3/4.
Hence, the correct quotient is -3
The mistake CJ likely made is He multiplied using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4
Learn more here: https://brainly.com/question/13124034
use the numbers -4,-1,3/2 or 2/3 to write an expression brainly
Answer:
4x1 divide 2 minus 3 plus 2
Step-by-step explanation:
I think
Express the fraction 2/3, 3/4,5/6
Answer:
The required fractions for 2/3, 3/4, and 5/6 with a denominator of 12 are 8/12, 9/12, and 10/12
Answer:
8/12, 9/12, and 10/12
Step-by-step explanation:
Need done ASAP
Mr. Brauch tells Granny that there's no way that ABC =
ADEF. Granny tells
him That they are not only congruent, but she can prove it by SSS. Who is right?
Answer:
Granny is correct
Step-by-step explanation:
Hope it helps
please help me for my practice problems
fay has a lemonade stand. She spends £25 on ingredients. She sells each glass of lemonade for £1.50. If she sells 40 glasses of lemonade, what is her total profit?
Find an equation for the graph below
Answer:
y=4/5x-0.8
Step-by-step explanation:
A new blu-ray player costs $80.99 in the store. What would your total cost be if the sales tax is 5.5%? Round your answer to the nearest cent, if necessary.
Answer:
445.445
Step-by-step explanation:
because I did it and I got it right
Answer: 85.44
Step-by-step explanation: 80.99*0.055
HELP MME WITH THIS PLEASE
Answer:
0.84
Step-by-step explanation:
21/25 is equal to 0.84.
Hopefully this helps!
Brainliest please?
Find h(-1) if h(x) =- 3|3x – 6|– 3?
Answer:
Step-by-step explanation:
h(-1) = - 3|3(-1) - 6| - 3
h(-1) = - 3|-3 - 6| - 3
h(-1) = - 3|-9| - 3
h(-1) = - 3(9) - 3
h(-1) = - 27 - 3
h(-1) = - 30
solve the inequality. graph your solution
6(y+1)>6
Step-by-step explanation:
[tex]6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0[/tex]
If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?
Answer:
$64188.26
Step-by-step explanation:
→ Calculate the increase in decimal multiplier
( 100 + 3 ) ÷ 100 = 1.03
→ Multiply this by the salary raised to the power of 16
40000 × ( 1.03 )¹⁶
→ Solve
$64188.26
Answer:
$806275
Step-by-step explanation:
type it exactly like that, ap*x
Does anyone know this?
Answer:
Simple as 3x + 1
What are your realizations after watching the video about Nature By Numbers By Cristobal Vila
Show that (1 + 2V3)2 = 13 +4V3
Answer:
(1+2V3)^2=13+4V3
<=> 1 +4V3 +12 = 13+4V3
<=> 1 +12 = 13
<=> 13=13
sorry if i wrong :(
solve pls brainliesttt
Answer:
-343
-125
Here you go
Answer:
1. -343
2. 25
3. v+21=47 v= 26
Step-by-step explanation: Hope this helps!
Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).
Answer:
9 unit²Step-by-step explanation:
The points are plotted and the figure is a parallelogram with base and height both of 3 units long.
The area is:
A = 3*3 = 9 unit²Distance from earth to the moon is 238,900 . From earth to the sun is 92935,700 ,about how many times the distance from earth to the moon is distance from earth to the sun
Answer: the sun is 389.015069067 times further away from earth to the moon
Step-by-step explanation: 92935700/238990=389.015069067
7. In a quiz bee, Marlon scored 132 points during the first round. This score was thrice as much as his score during the second round. What score did he get in two rounds?
Answer:
II + III = 176
II = 44
III = 132
Step-by-step explanation:
Third round: 132
Second round: 3x=132
x=44 (second round)
2rounds: 132+44=176
Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
а
a
O A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
O B. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
о
C. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the longer period
D. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
What is Interest Rate?An Interest Rate is the rate at which a person either takes a loan, or a person lends money to somebody.
The interest rate is different for different types of loans, some interests are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.
A payday loan has principal of $1500
It is due in 12 days, so time period is 12 days.
The interest amount is $90
I = P * R *T / 100
90 = 1500 *12 *R /100
R = 0.5 %
A payday loan has principal of $1500
It is due in 10 days, so time period is 10 days.
The interest amount is $90
90 = 1500 *10 *R /100
R = 0.6 %
The rate of interest is more for a payday loan for $1500 that is due in
10 days with a fee of $90.
Hence, the correct answer is A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
To know more about Interest Rate
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