Answers
I'm going to use the Substitution method
c = 160 + 67t
55 + 82t = 160 + 67t .... replace c with 55+82t; solve for t
55 + 82t - 55 = 160 + 67t - 55
82t = 67t + 105
82t - 67t = 67t + 105 - 67t
15t = 105
15t/15 = 105/15
t = 7
Use t = 7 to find that
c = 160 + 67t
c = 160 + 67*7
c = 629
You can use the other equation as well to get the same answer for c.
It takes 7 months for the cost to be the same. That cost is $629
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4b)
I'm going to use the Elimination method
Subtract the equations to get
x+y = 20
x-4y = -15
-----------
0x+5y = 35
If 5y = 35, then y = 7 after we divide both sides by 5
Plug y = 7 into the first equation and solve for x
x+y = 20
x+7 = 20
x+7-7 = 20-7
x = 13
So x = 13 and y = 7 are the solutions
Max exercises 13 hours a week while Sasha exercises 7 hours a week
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4c)
I'm going to use the Substitution method
x = price for one adult ticket (in dollars)
y = price for one student ticket (in dollars)
Fact #1
4 adult tickets + 2 student tickets = 64 dollars
4x + 2y = 64
Fact #2
3 adult tickets + 3 student tickets = 60 dollars
3x + 3y = 60
3(x + y) = 60
3(x + y)/3 = 60/3
x + y = 20
x + y-x = 20-x ... subtract x from both sides
y = 20 - x
Plug that into the first equation
4x + 2y = 64
4x + 2(y) = 64
4x + 2(20-x) = 64 ... replace y with 20-x; solve for x
4x + 40-2x = 64
2x + 40 = 64
2x + 40-40 = 64-40
2x = 24
2x/2 = 24/2
x = 12
Use x = 12 to find y
y = 20 - x
y = 20 - 12
y = 8
In summary, x = 12 and y = 8, which means...
One adult ticket costs $12
One student ticket cost $8
Related Questions
David drops a ball from a bridge at an initial height of 100 meters.
(a) What is the height of the ball to the nearest tenth of a meter exactly 3 seconds after he releases the ball?
(b) How many seconds after the ball is released will it hit the ground?
Answers
(b) About 4.518 seconds.
_____
A graphing calculator can be helpful for these.
[tex]y = y_{o} + v_{o}t - \frac{1*g*t^{2} }{2} [/tex] -- (A)
Where g = 9.8 m/s/s
[tex]v_{o}[/tex] = 0
[tex]y_{o}[/tex] = 100
a)
Time=t=3s.
Plug-in the values in (A)
y = 100 -(1/2*9.8*3*3)
y = 100-44.1 = 55.9m
Height of the ball exactly after 3 seconds = 55.9m.
b)
At ground, y=0; Plug-in values in (A):
A=> 0 = 100 - (1/2* 9.8 * [tex]t_{2}[/text])
Therefore t = + 4.52 s and - 4.52 seconds.
As t cannot be negative, therefore:
Time when ball hits the ground = 4.52s
-i
COULD U PLEASE PLEASE HELP ME !!!!!!!!!!!
BRAINLIEST AVAILABLE
Answers
Which expression is equivalent to (b^n)^m
Answers
When the exponents are set up like that you multiply them.
Answer:
C. [tex]b^{n\cdot m}[/tex]
Step-by-step explanation:
We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:
[tex](b^n)^m=b^{n\cdot m}[/tex]
Therefore, option C is the correct choice.
The result of rounding the whole number 2,746,052 to the nearest hundred thousands place is:
Answers
This is because of the rules of rounding.
If a digit is 4 or smaller, it rounds down.
If a digit is 5 or more, it rounds up.
The number is 2, 746, 052 so it stays at 700,000.
TLDR: 2,700,000
Answer:
maybe 2,800,000
If two polygons are similar then the corresponding sides are equal and the corresponding angles are proportional. True or False?
Answers
If the question is phrased like that however, your answer would be false because the sides are not equal, they are proportional. The angles are not proportional, they should be congruent or equal.
Sara has 20 sweets.
12 liquorice, 5 mint, 3 humbug.
Sara is going to take at random two sweets.
work out the probability that the two sweets will not be the same type. Give your answer as a fraction
Answers
Answer:
111/190
Step-by-step explanation:i know you dont want to see explanation so yeah...
Probabilities are used to determine the chances of an event.
The probability that the two selected sweet will not be of the same type is [tex]\frac{111}{190}[/tex]
The given parameters are:
[tex]n = 20[/tex] --- number of sweet
[tex]L = 12[/tex]
[tex]M = 5[/tex]
[tex]H = 3[/tex]
First, we calculate the probability that the two selected sweet will be of the same type.
This is calculated as:
[tex]P(Same) =P(L\ and\ L) + P(M\ and\ M) + P(H\ and\ H)[/tex]
Because the selection is without replacement, the equation becomes
[tex]P(Same) = \frac{12 \times 11}{20 \times 19} +\frac{5 \times 4}{20 \times 19} + \frac{3 \times 2}{20 \times 19}[/tex]
[tex]P(Same) = \frac{132}{380} +\frac{20}{380} + \frac{6}{380}[/tex]
Add fractions
[tex]P(Same) = \frac{132+20+6}{380}[/tex]
[tex]P(Same) = \frac{158}{380}[/tex]
Using the complement rule, the probability that the two selected sweet will not be of the same type is:
[tex]P(Not\ same) = 1 - P(Same)[/tex]
This gives
[tex]P(Not\ same) = 1 - \frac{158}{380}[/tex]
Take LCM
[tex]P(Not\ same) = \frac{380 - 158}{380}[/tex]
[tex]P(Not\ same) = \frac{222}{380}[/tex]
Simplify
[tex]P(Not\ same) = \frac{111}{190}[/tex]
Hence, the required probability is: [tex]\frac{111}{190}[/tex]
Read more about probabilities at:
https://brainly.com/question/11234923
Daria walked 1 2/5 miles this morning and 2 3/10 miles this afternoon. How many miles did Daria walk in all?
Answers
1 2/5 + 2 3/10
rewrite into improper fractions
7/5 + 23/10
To add, you must have the same denominator
in this case, multiply the first fraction by 2 to get the denominator to 10
7*2/5*2
14/10
now solve
14/10 + 23/10
37/10
Now you can rewrite this to a mixed number
3 7/10
She walked 3 7/10 miles total of the day.
Hope this helps
Triangle ABC has vertices at (2,2), (4,3), and (6,1).
Using triangle ABC as the pre-image and origin as the center of dilation, what are the coordinates of a dilation of these vertices that uses a scale factor of 0.5?
A. (10,10)(20,15)(30,5)
B. (-1,-1)(-2,-15)(-3,-0.5)
C. (1,1)(1.5,2)(0.5,3)
D. (1,1)(2,1.5)(3,0.5)
Answers
This point is only found on the list of Selection D.
Answer:
The correct answer is D.
Step-by-step explanation:
Recall that when we make a dilation with center at the origin, the only needed operation is to multiply the coordinates of each point by the factor of dilation. In this particular case the dilation factor is 0.5 so we must do the following operations:
0.5*(2,2) = (0.5*2,0.5*2) = (1,1)0.5*(4,3) = (0.5*4,0.5*3) = (2,1.5)0.5*(6,1) = (0.5*6, 0.5*1) = (3,0.5)So, the vertices of the triangle after the dilation are those who appear in D.
WILL GIVE A BRAINLEST
Which piecewise relation defines a function?
Answers
The 3rd Image defines a piecewise function because for it to be a function, every input must match to exactly one and only one output. In Images 1, 2, and 4, there are certain inputs that have two outputs or stated otherwise, have two y-values for the same x-value. Only the 3rd Image matches 1 x-value to every 1 y-value. So, that's your answer.
Answer: C! The 3rd graph
Step-by-step explanation: Why does your equations have f(x)= and g(x)= ? Mine is only y= for every graph shown. All same numbers though.
The percent of the discount in the problem above is 15%. What percent of the original bill is Chumani's bill? How could you solve the problem using this percent?
Answers
That’s all I know about this problem but was there something else? Like the actual total of Chumani’s bill?
Chumani's bill represents 85% of the original bill after a 15% discount is applied. The discounted amount can be found by multiplying the original bill by 0.85.
If the discount on an item is 15%, and Chumani is paying after this discount has been applied, we want to find out what percent of the original bill Chumani's bill is. To do this, we subtract the discount rate from 100%. So, 100% - 15% = 85%. Thus, Chumani's bill is 85% of the original bill.
To calculate the discounted bill, you multiply the original bill amount by 0.85 (which represents 85%). If the original bill was, for example, $100, the calculation would be $100 x 0.85 = $85. So, Chumani would pay $85, which is 85% of the original bill amount.
Part A) Julio makes a scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy . The scale of his drawing is 1 inch:4 feet. (The length is 4 1/2 and the width is 3 3/8)
What is the actual are of Julio's kitchen floor?
Part B) Julio makes a scale drawing of part of the kitchen wall to design a tile pattern. He will use gray tiles and white tiles to form the pattern shown. The length of each square in the drawing represents 1/2 foot on the actual kitchen wall. (There are 14 gray tiles and 10 white tiles)
If Julio uses 2-inch by 2-inch tiles, how many tiles of each color will he need?
Answers
we know that
scale ----------> inch/4 feet=0.25 in/ft
[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]
for length --------> 4 1/2 in ---------> 4.5 in (scale drawing)
[actual]=[4.5]/[0.25]=18 ft
for width ---------> 3 3/8 in ---> (3*8+3)/8 ---> 27/8 in (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft
the answer part A is
length actual kitchen floor is 18 ft
width actual kitchen floor is 13.5 ft
Part B)
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²
find how many tiles 2 in by 2 in of each color will he need
1ft²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles
white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles
the answer Part B) is
126 gray tiles
90 white tiles
Answer:
Sample response: Julio divided 6 whole parts into groups of 2 instead of dividing them into groups of
1
2
which would make the quotient 12, not 3.
Step-by-step explanation:
what is the solution to the proportion 3/m=12/15
Answers
which term describes the red curve of the figure below?
Answers
Hyperbola is where there are two curves (one up, one down)
Answer:
A) Hyperbola.
Step-by-step explanation:
Given : Figure .
To find : Which term describes the red curve of the figure below.
Solution : We can see from the given figure two red curve up and down .
Hyperbola : A hyperbola is two curves that are like infinite bows.
Therefore, A) Hyperbola.
Which equation is equivalent to
Answers
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0.
Answers
The complete function that models Amare's height above the ground, h(t), as a function of time, t, in minutes is:
h(t) = 25 · sin((π / 3) t) + 4
To model Amare's height above the ground, use the equation of a sinusoidal function.
In this case, since the Ferris wheel has a diameter of 50 meters, the amplitude of the function is half of the diameter, which is 25 meters. The Ferris wheel completes three revolutions in six minutes, so the period of the function is 6 minutes.
The equation for the height function is given by:
h(t) = A · sin((2π / T) t + φ) + h0
Where:
A is the amplitude (25 meters)
T is the period (6 minutes)
φ is the phase shift (0 radians, since Amare enters at the low point)
h0 is the vertical shift (4 meters, since the Ferris wheel sits four meters above the ground)
Substitute the given values into the equation
h(t) = 25 · sin((2π / 6) t + 0) + 4
Simplifying further:
h(t) = 25 · sin((π / 3) t) + 4
Therefore, the complete function that models Amare's height above the ground, h(t), as a function of time, t, in minutes is:
h(t) = 25 · sin((π / 3) t) + 4
Complete question
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0.
h(t)=--- ·sin---- πt+---- π )+ ----
HELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELP
Answers
*Will give medal!* Which is the direct linear variation equation for the relationship?
y varies directly with x and y = 10 when x = 2.
A. y = x – 8
B. y = x + 8
C. y = 5x
D. y = 2x + 6
Answers
Varies directly means to multiply and add a constant.
Y varies directly with X means y=kx.
Since y=10 when x=2
10=k2 so k=5
y=5x
A regular pyramid has a _____ base and a vertex over the center of the base.
Answers
Regular Polygon~~~~ APEX
John has a blueprint for a square-shaped office. He decides to change the layout and so draws a new blueprint such that the width of his office increased by 15 feet. The area of his office according to the new blueprint is given by the expression below, where x is the side length, in feet, of the original square-shaped office.
x^2+15x
Which statement best describes the term 15x?
the area of the office according to the old blueprint
the width of the office according to the new blueprint
the area added to the office according to the new blueprint
the area of the office according to the new blueprint
Answers
we know that
the old blueprint is the square ABCD
Area=x*x=x²----------A1=x²
the new blueprint is the rectangle AEFB
Area=(x+15)*x----------> A2=x²+15*x
so
A2=A1+15*x
therefore
the answer is
the term 15x is the area added to the office according to the new blueprint
Answer:
The area added to the office according to the new blueprint
Step-by-step explanation:
you're welcome
Select the correct product.
(2x + 9)(x + 1)
2x2 + 11x + 9
3x2 + 11x + 9
2x2 - 7x + 9
2x2 + 11x + 10
Answers
2x * x + 2x * 1 + 9 * x + 9 * 1
= 2x^2 + 2x + 9x + 9
= 2x^2 + 11x + 9
Hope this helped!
Perform the indicated operation. (r 4 - r 2 + 4) ÷ (r 2 - r + 2)
Answers
r² + r - 2 R -4r+8 just got this wrong on quiz so i know this is the right answer now
The simplified expression of (r⁴ - r² + 4) ÷ (r² - r + 2) is r³ -r+ 4/r ÷ r - 1 + 2/r
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (r⁴ - r² + 4) ÷ (r² - r + 2)
r power four minus r square plus four divided by r square minus r plus two.
The expression can not be simplified further as the denominator (r^2 - r + 2) cannot be factored into linear factors
The expression is a rational function and can only be simplified by partial fraction decomposition which involves writing it as a sum of simpler fractional terms.
r (r³ -r+ 4/r) ÷ r(r - 1 + 2/r)
r³ -r+ 4/r ÷ r - 1 + 2/r
Hence, the simplified expression of (r⁴ - r² + 4) ÷ (r² - r + 2) is r³ -r+ 4/r ÷ r - 1 + 2/r
To learn more on Expressions click:
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ALGEBRAIC PROOF PLEASE HELP IT IS MY LAST QUESTION I AM STUMPED
Use the following problem to answer the question below:
Given: 3(x – 4) = 33
Prove: x = 15
3(x – 4) = 33 Given
3x – 12 = 33 A
3x – 12 + 12 = 33 + 12 B
3x + 0 = 45 C
3x = 45 D
x = 15 Division Property of Equality
What is the reason for D?
Answers
The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Which values of x hold true for the inequality?
choices are 8,10,12,13,9,15,7
Answers
x ＞ 12.333
Thus, 13 and 15 satisfy
Answer:
15
Step-by-step explanation:
In a plane, if a line is perpendicular to one of two blank lines, then it is also perpendicular to the other
Answers
if the black lines are parallel, and the red one is perpendicular to one of them, well, you know the rest.
A chord divides a circle into two segments true or false?
Answers
There is an old riddle about a frog at the bottom of a 20-foot well. if he climbs up 3 feet each day and slips back 2 feet each night, how many days will it take him to reach the 20-foot mark and climb out of the well?
Answers
f (x) = mx + b
We have:
20-foot well:
f (x) = mx + 20
if he climbs up 3 feet each day and slips back 2 feet each night:
f (x) = - 3x + 2x + 20
f (x) = - x + 20
When it reaches 20 feet we have f (x) = 0:
f (x) = - x + 20
0 = -x + 20
x = 20 days.
Answer:
It will take him 20 days to reach the 20-foot mark and climb out of the well
For a school play the teacher asked the class to set up chairs in 20 rows with 25 chairs in each row after setting up all the chairs they were five chairs short how many tears did the class setup
Answers
= (20*25) - 5
= 500 - 5
= 495
They set up 495 chairs.
Hope this helps! :)
Find the x value for point C such that AC and BC form a 2:3 ratio.
A) 6
B) −0.6
C) 4
D) −2.4
Answers
The x value for point C is not one of the given options.
Explanation:To find the x value for point C such that AC and BC form a 2:3 ratio, we first need to find the coordinates of point C. The given components are Cx = -2/3, Cy = -4/3, and C₂ = 7/3. Substituting these values into Equation 2.21, we get:
C = sqrt((-2/3)² + (-4/3)² + (7/3)²) = sqrt(23/3)
Therefore, the x value for point C is not one of the options given. None of the options (A) 6, (B) -0.6, (C) 4, or (D) -2.4 are correct.
Final answer:
To find the x value for point C such that AC and BC form a 2:3 ratio, substitute the coordinates of point C into the equation and solve for C.
Explanation:
To find the x value for point C such that AC and BC form a 2:3 ratio, we can use the coordinates of points A, B, and C. We have Cx = -2/3, Cy = -4/3, and C₂ = 7/3. Substituting these values into Equation 2.21 gives:
C = √((-2/3)² + (-4/3)² + (7/3)²) = √(4/9 + 16/9 + 49/9) = √(69/9).
So the x value for point C is √(69/9).
2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girls are there
Answers
3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16
Altogether = 16 + 24 = 40
24 - 1 6 = 8
There are 40 children altogether
There are 8 more boys than girls.
2/5 = 16/40
24 = 3/5
24 - 16 = 8
Therefore, There Are 8 More Boys Than Girls.
Which term can be combined in the expression below? check all that apply. 5/6a - 2b - 16.3 + b/12 + c - 0.9b
Answers
Answer:
Option 2nd , 4th and 6th correct
[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]
Step-by-step explanation:
Like terms are those terms which have same variable to the same power.
Given the expression:
[tex]\frac{5}{6}a-2b-16.3+\frac{b}{12}+c-0.9b[/tex]
Combine like terms;
[tex]\frac{5}{6}a+b(-2+\frac{1}{12}-0.9}-16.3+c[/tex]
Simplify:
[tex]\frac{5}{6}a-2.81666667b-16.3+c[/tex]
Therefore, the term can be combined in the given expression is,
[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]