Answer: Child is $1 and Adult is $3, per person.
Step-by-step explanation:
We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.
The income for Monday and Tuesday can be calculated:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
Rearrange the second equation to isolate one of the variables. I'll pick C:
24C + 26A = $102
C = ($102 - 26A)/24
Now use this expression for C in the first equation
16C + 42A = $142
16(($102 - 26A)/24) + 42A = $142
16(($102 - 26A)/24) + 42A = $142
(1632 - 416A)/24 + 42A = $142
(68 - 17.3333A + 42A = $142
24.6667A = 74
A = 3 [The price of an adult pool admission is $3]
Use this value in either equation to find the price of a child's admission:
24C + 26A = $102
24C + 26*($3) = $102
24C = 102 - 78
C = $1 [The price of a child's admission to the pool is $1]
Check to see if these prices satisfy both equations:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
---
Monday: 16*(1) + 42*(3) = $142 ? YES
Tuesday: 24*(1) + 26*(3) = $102 ? YES
Child is $1 and Adult is $3, per person.
Which statement about f ( x ) = x 2 + 5 x − 84 is true?
Answer:
It is False
Step-by-step explanation:
Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, to
Denver, Colorado, that leaves at 11:49 a.m. Chicago time. If Illinois is in the
central time zone and Colorado is in the mountain time zone, what will be the
local time in Denver when the flight arrives?
Use the following to help you answer the question
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
A. 12:15 p.m.
B. 2:15 p.m.
C. 1:15 p.m.
D. 11:15 a.m.
SUBMIT
Answer: 1:15pm
Step-by-step explanation:
why is root 3 not 1.5
like a square of 3m2
wouldn't both sides have 1.5
1.5x1.5 = 3 ?
So why is root 3 =1.73...
6x+3y=-3 how to graph it need answers quick
Answer:
Equation in slope intercept form: y = -2x -1
Step-by-step explanation:
First you must convert this equation from standard form to slope intercept form (y=mx+b).
Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.
Now to graph:
First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.
Next we will go down 2 units and over to the right 1 unit, until we get to the next point.
(Picture is attached above for your convenience⤴⤴⤴)
Hope this helps you :)
pls add the polynomials and find degree 1. p(x) = 6x² – 7x + 2 q(x) = 6x³ – 7x +15 2.h(x) = 7x³ – 6x + 1 f(x) = 7x² + 17x – 9
First let us know about Polynomial –
The degree of a polynomial is defined as the highest power on a variable in a polynomial.Types of polynomials based on the degree–
[tex]\qquad[/tex] ☀️ Constant polynomial :-
A polynomial having 0 as its degree is known as a constant polynomial.Example : 6 (6x⁰ : degree of x : 0)
[tex]\qquad[/tex]☀️ Quadratic polynomial :-
A polynomial having 2 as its degree is known as a quadratic polynomial.Example : 3x² + 7x + 6 (3x² : degree of x : 2)
[tex]\qquad[/tex]☀️ Cubic polynomial :-
A polynomial having 3 as its degree is known as a cubic polynomial.Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]
The degree of the polynomial is 3.[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]
[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]
The degree of the polynomial is 3.1) The degree of the polynomial is 3.
2) The degree of the polynomial is 3.
Tony Peyton, age 20, would like to have $1,000,000 by the time he is 65 years of age. If Tony could earn 6.9% annual interest compounded monthly, how much must he invest now to have $1,000,000 by the time he is 65?
Using compound interest, it is found that he must invest $45,225 now.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
He wants to have $1,000,000 in 65 - 20 = 45 years, hence [tex]t = 45, A(t) = 1000000[/tex].6.9% annual interest, hence [tex]r = 0.069[/tex].Compounded monthly, hence [tex]n = 12[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]1000000 = P\left(1 + \frac{0.069}{12}\right)^{12(45)}[/tex]
[tex]P = \frac{1000000}{(1.00575)^{540}}[/tex]
[tex]P = 45225[/tex]
He must invest $45,225 now.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
He must invest $45,225
pls someone help if you do all 3 i'll give you brainliest
Find the measure of the indicated angle in the triangle.
Answer:
70°
Step-by-step explanation:
The V angle is complementary with the R which means that
120° + V angle = 180° Therefore V = 60°
The sum of the internal angles of the triangles equals 180.
We have 50° + 60° + U = 180
70° is the answer
please help me, tysmm! and no spam or links please it's rlly annoying -_-
7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.
Answer: 49/55
7/11 x 7/15 x 3
49/165 * 3
147/165
49/55
[tex]\dfrac{7}{11} \times \dfrac{7}{15} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{3\times 5} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{5}\\\\\\=\dfrac{7\times7}{11 \times 5}\\\\\\=\dfrac{49}{55}[/tex]
5m - 2 represents the statement two less than five times a number
Answer:
yes
Step-by-step explanation:
Construct a bar graph for the relative frequencies given
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Solution here,
Principal=?
Time =3 year
Rate of percent= 4.5
SIMPLE intrest=$405
Now
Principal=(SIMPLE INTREST × 100)/(TIME × RATE)
=$40500/13.5
=$3000
9) Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Answer: 38 miles per gallon ; 342 miles.
Step-by-step explanation:
The miles/gallon that he got on the trip will be:
= 228/6
= 38 miles per gallon.
When he used 9 gallons of gas, the distance travelled will be:
= 38 × 9
= 342 miles
Answer:
Question :
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?b) On another trip, he used 9 gallons of gas. How far did he travel?Solution :
a) How many miles/gallon did he get on the trip?
[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]
[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]
Hence, he get 38 miles/gallon for his trip.
[tex]\rule{200}2[/tex]
b) On another trip, he used 9 gallons of gas. How far did he travel?
[tex]{\implies{\sf{38 \times 9}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]
Hence, he traveled 342 miles by using o gallon og gas.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Given −7 is one of the roots of the quadratic equation
(x + k)2 = 16, where k is a constant, find the values of k.
Answer:
k = {3, 11}
Step-by-step explanation:
Taking the square root of the given equation, we find ...
x +k = ±4
For x = -7, this is ...
-7 +k = ±4
k = 7 ±4 = {3, 11}
Possible values of k are 3 and 11.
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Taking square root on the both sides of equation (x + k)² = 16 we get,
[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]
[tex]\implies\rm{x + k = ± 4}[/tex]
Making two conditions for ± 4 i.e
1) x + k = 4
[tex]\implies\rm{ - 7 + k = 4}[/tex]
[tex]\implies\rm{k = 4 + 7}[/tex]
[tex]\implies\rm{k = 11}[/tex]
2) x + k = -4
[tex]\implies\rm{ - 7 + k = - 4}[/tex]
[tex]\implies\rm{k = - 4 + 7}[/tex]
[tex]\implies\rm{k = 3}[/tex]
Thus the values of k can be either 11 or 3.Do now: Balance the following equation.
1.
C₂H₂ + O₂--
+
--->
- CO2 + H2O
Answer:
C2H2 + 3O2 ---> 2CO2 + 2H2O
Step-by-step explanation:
an arrow is shot vertically upward from a platform 18ft high at a rate of 184ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0. (Round your answer to the nearest tenth.)
Answer:
h(t) = -16t2 + 184t + 18
at the ground h = 0
hence; -16t2 + 184t + 18 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)
Step-by-step explanation:
(1 pc
3. A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate
how much sugar is needed to make 8 dozen cookies.
4 cups
x cups
4 dozen 8 dozen
O2 cups
08 cups
08.5 cups
0 12 cups
I really need help! I give Brainly-est
Answer:
8cups
Step-by-step explanation:
if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups
We didn’t learn this so I need help! Please provide a good explanation so that I will be able to do problems like his on my own in the future.
Answer:
Ask your teacher to explain it. I think that the answer is one hundred and thirty-two dollars.
Step-by-step explanation:
The simple interest follows this formula:
I = C x r% x t
– C would be the capital; the money that is provided (in this case, $1600)
– r would be the rate, which could be annual, monthly, etc. In this scenario, it's not specified. Therefore, we assume that it's annual as the time is given in years. (It would be equal to 2,75, but don't forget about the percent symbol %, which is equal to 1/100)
– Finally, t stands for time.
Remember that both time and rate must be in the same measurement (annual, monthly, etc).
You multiple everything, and the result is $132
plz help me find this answer for number 9 and number 10 offering 20 points for a answer !!
Answer:
7
Step-by-step explanation:
Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:
[tex]3x^2+7y^3+2x+9y-5y^2[/tex]
The first term is: [tex]3x^2[/tex]
The second term is: [tex]7y^3[/tex]
The third term is: [tex]2x[/tex]
The fourth term is: [tex]9y[/tex]
The fifth term is: [tex]-5y^2[/tex]
Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:
The first coefficient is: 3
The second coefficient is: 7
The third coefficient is: 2
The fourth coefficient is: 9
The fifth coefficient is: -5
Edward deposited $5,500 into a savings account 5 years ago. The simple interest rate is 3%. How much money Need ans
Answer:$1375 in interest and $6875 total.
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?
Answer:
Option D.
Step-by-step explanation:
A function is a relation in which one input (x-value) is assigned to exactly one output (y-value).
Since option D's x-values do not repeat, then it is a function.
Hope this helps.
Can u tell me the the answer to 44×4 multiply in columns
Answer:
176
hope it helps :)
mark brainliest!!
Xavier's living room is rectangular and measures 3 meters by 3 meters. Beginning in one
corner, Xavier walks the length of his living room and then turns and walks the width. Finally,
Xavier walks back to the corner he started in. How far has he walked? If necessary, round to
the nearest tenth.
Solve each inequality:
a. x + 3 < 4
b. x - 3 > 5
_
c. 4 > x - 2
d. -2 < x + 1
_
An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.
Kayla uses ⅙ cup of glitter for every ⅓ cup of glue to make glitter glue. Enter the number of cups of glitter Kayla uses for 1 cup of glue. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER
========================================================
Explanation:
1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.
3*(1/6) = 3/6 = 1/23*(1/3) = 3/3 = 1The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.
Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=
Answer:
Step-by-step explanation:
Given:
y1 = 5.2
y2 = 1
x1 = 0
x2 = -1.5
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 1 - 5.2 ) / ( -1.5 - 0 )
m = -4.2 / -1.5
m = 2.8
then
y - y1 = m ( x - x1 )
y - 5.2 = 2.8 ( x - 0 )
y - 5.2 = 2.8x - 0
y = 2.8x + 5.2
Please I need help asap
Answer:5/5 then 10-7 then 6/2
Step-by-sanation:
8 less than the sum of u and 2
Answer: u < 6
Step-by-step explanation: 2 + u < 8
u < (8-2)
u < 6