Answer:
The price for both senior and child tickets are $9 each
Step-by-step explanation:
Since your just trying to find the price for senior citizen and child tickets, we'll use the equation for the first day:
4x + x = $45
5x = $45
x = 9
now plug it for 4x and x
4(9) = $36 <<divide $36 by 4 == $9
$9 for each child ticket
Hurry im despret i need help
The slope-point form of line:
[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-9, 7) and (6, 2). Substitute:
[tex]m=\dfrac{2-7}{6-(-9)}=\dfrac{-5}{6+9}=-\dfrac{5}{15}=-\dfrac{1}{3}\\\\y-7=-\dfrac{1}{3}(x-(-9))\\\\\boxed{y-7=-\dfrac{1}{3}(x+9)}[/tex]
The slope-intercept form of line:
[tex]y=mx+b[/tex].
We have the slope m:
[tex]y=-\dfrac{1}{3}x+b[/tex]
Pu the coordinates of the point (6, 2) to the equation:
[tex]2=-\dfrac{1}{3}(6)+b[/tex]
[tex]2=-2+b[/tex] add 2 to both sides
[tex]4=b\to b=4[/tex]
[tex]\boxed{y=-\dfrac{1}{3}x+4}[/tex]
Find the value of x. log 2 x = 3
[tex]\log_ab=c\iff a^c=b\\\\Domain:\ x > 0\\\\\log_2x=3\iff x=2^3\to\boxed{x=8}[/tex]
Identify the terms. (include 20)
3x+5=20
Answer:
x = 2.5
------------------
Equation:
3 + 5 = 8
Starting:
8x = 20
Conclusion:
x = 2.5
Check:
2.5 * 8 = 20
If $1995.00 is shared equally among 5 men, how much would each get?
Pleas Help, I will give Branliest !!!!!!
Answer:
Q. 1
Note that x = 9. Plug in 9 for x.
√(x + 7) = √(9 + 7)
Simplify. Add, then root
√(9 + 7) = √16 = √(4 * 4) = 4
4, or (B) is your answer
---------------------------------------------------------------------------------------------------------
Q. 2
Note that x = 16. Plug in 16 for x
√(x + 20) = √(16 + 20)
Simplify. Add, then root.
√(16 + 20) = √36 = √(6 * 6) = 6
6, or (D) is your answer
---------------------------------------------------------------------------------------------------------
Q. 3
Note that x = 9. Plug in 9 for x.
3 + √(9 + 7) - √(3(9))
Simplify. Combine the terms. Remember to follow PEMDAS.
3 + √(16) - √(27)
3 + 4 - 3√3
Simplify to get the final answer. Note that you can only combine terms with the same amount for roots
(3 + 4) - 3√3
7 - 3√3, or (C) is your answer
---------------------------------------------------------------------------------------------------------
Q. 4
Note that x = 6. Plug in 6 for x.
√(24 - (6))
Simplify. First solve the parenthesis
√(24 - 6) = √(18)
Simplify. Change the root to a decimal.
√18 = √( 3 * 3 * 2) = ~4.24
4.24, or (A) is your answer
---------------------------------------------------------------------------------------------------------
Q. 5
Note that x = 2. Plug in 2 for x in the expression.
6 + √(14 + x) - √(9x)
6 + √(14 + 2) - √(9(2)
Simplify. Follow PEMDAS. First, simplify the parenthesis
6 + √(16) - √18
Next, simplify the roots
6 + 4 - 3√2
Simplify. Combine like terms
(6 + 4) - 3√2
10 - 3√2
Change to decimal
- 3√2 ≈ -4.24
Subtract
10 - 4.24 = 5.76
5.76 or (C) is your answer
~
Put the values of x to the expreesions.
[tex]\sqrt{a}=b\iff b^2=a[/tex]
[tex]Q1.\\x=9\\\\\sqrt{x+7}=\sqrt{9+7}=\sqrt{16}=\boxed{4}\ \text{because}\ 4^2=16\\\\Q2.\\x=16\\\\\sqrt{x+20}=\sqrt{16+20}=\sqrt{36}=\boxed{6}\ \text{because}\ 6^2=36\\\\Q3.\\x=9\\\\\sqrt{x+7}=\sqrt{7+9}=\sqrt{16}=4\ \text{because}\ 4^2=16\\\sqrt{3x}=\sqrt{3\cdot9}=\sqrt9\cdot\sqrt3=3\sqrt3;\ \sqrt9=3\ \text{because}\ 3^2=9\\\\3+\sqrt{x+7}-\sqrt{3x}=3+4-3\sqrt3=\boxed{7-3\sqrt3}\\\\Q4.\\x=6\\\\\sqrt{24-x}=\sqrt{24-6}=\sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=\boxed{3\sqrt2}\approx\boxed{4.24}[/tex]
[tex]Q5.\\x=2\\\\\sqrt{14+x}=\sqrt{14+2}=\sqrt{16}=4\\\sqrt{9x}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2\\\\6+\sqrt{14+x}-\sqrt{9x}=6+4-3\sqrt2=\boxed{10-3\sqrt2}\approx\boxed{5.76}[/tex]
Reggie drives 10 miles from the airport to the highway. once on the highway, he drives at a speed of 55mph. What is Reggie's total distance from the airport hours after reaching the highway.
Answer:
10+55x
Step-by-step explanation:
this is your answer because we don't know how man hour he drove after reaching the high but we know how many mile he dove to the high way.
hope this helps
The expression for total distance from the airport hours after reaching the highway is 10 + 55h
what is speed- distance formula?Speed = Distance/TimeDistance = Speed X TimeTime = Distance / Speed.Given:
let h hours be the time taken.
Reggie drives 10 miles from the airport to the highway.
and, the speed= 55 Km/h
So, Distance = 55 x h = 55h
Then, the expression for total distance from the airport hours after reaching the highway
= 10 + 55h
Learn more about speed- distance formula here:
https://brainly.com/question/29003840
#SPJ2
What is the solution to the inequality-2x-3y>9
Answer:
y < − 2 x /3 − 3
Hope This Helps!
Mike is making guacamole for a get together with friends the recipe below makes 8 servings and uses three ingredients he wants to make 24 servings
How much will he need
Avacado 3. Onions 2 1/2. Lime juice - 3/4
Answer: the answer is very easy just multiply each by 3.
Step-by-step explanation:
I dont want to give you the answer :)
Factor 1/7 out of 1/7x + 11/7
I really need your help
The expression (1/7x + 11/7) can be factored as (x + 11) after dividing each term by 1/7. The factored form simplifies the original expression and represents the common factor, 1/7, that was pulled out.
To factor out 1/7 from the expression (1/7x + 11/7), you can simply divide each term in the expression by 1/7. This is equivalent to multiplying each term by the reciprocal of 1/7, which is 7/1.
Starting with the expression (1/7x + 11/7):
(1/7x) ÷ (1/7) = x
(11/7) ÷ (1/7) = 11
So, factoring out 1/7, the expression becomes x + 11.
Therefore, the factored form of (1/7x + 11/7) is (x + 11).
What is the total depreciation (at 10% rate) on a blower purchased 3 years ago for $499?
[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &499\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &3\\ \end{cases} \\\\\\ A=499(1-0.10)^3\implies A=499(0.9)^3\implies A=363.771 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{total depreciation 499 - 363.771}}{135.229}~\hfill[/tex]
Which amendment prohibits federal and state governments from carrying out these actions?
Answer:
1.The correct answers here are the options A and C.
Under the United States Constitution, the powers that the states possess are those that are not given to federal government and those that are not prohibited by the Constitution itself. This is clearly seen here in the 10th Amendment. The states are free to set forth any laws that are constitutional so this does not mean any powers people want.
2.The correct answer here is the option A.
John C. Calhoun believed as did some other prominent politicians that nullification of federal laws was justified as the Constitution does not expressly give Congress the right to control states. But nullification is actually not legal and not true because of the Supremacy Clause that states that the Constitution and the federal laws created in accordance with it are the supreme law of the land. Also, Article III of the Constitution states that it is the federal judiciary that has the final say in the constitutionality of a law.
3.The correct answer here is the option A.
When the citizens of the United States think about the Constitution they mainly think about the Constitution of the United States. But before the colonies came together to create the Union they already created their own individual constitutions and entered the Union as free states. But these have been changed after the establishment of the Union in order to more reflect the Constitution of the United States.
The Fifth Amendment prohibits federal and state governments from carrying out certain actions:
Double Jeopardy: It protects individuals from being tried twice for the same offense after being acquitted or convicted once.
Self-Incrimination: It grants individuals the right not to be compelled to be a witness against themselves in a criminal case.
Due Process: It ensures that no person shall be deprived of life, liberty, or property without due process of law.
Eminent Domain: It establishes that private property cannot be taken for public use without just compensation.
The Fifth Amendment is an essential part of the Bill of Rights and protects various individual rights in the United States legal system.
To know more about amendment here
https://brainly.com/question/458137
#SPJ2
54 is 75% of ______________
54=3x/4
18=x/4
18*4=x
72=x
Mia paid $21.00 to rent 12 games throughout the month. The store charges $1.25 for new games and $2.75 for older games. How many new games did Mia rent? please show all work.
Answer:
8
Step-by-step explanation:
1.25x8+2.75x4
Which expression is equivalent to 1.18 x 0.6
A: (1.18 x 1/100) x (0.6 x 1/10)
B: (118 x 1/100) x (6x1/10)
C: (118 x 100) x (6x10)
D: (118 x 1/10) x (6x1/10)
Answer:
the answer is
B if im not mistaken
let me know if im wrong
Step-by-step explanation:
The equivalent expression of the expression 1.18 x 0.6 will be;
⇒ (118 x 1/100) x (6 x 1/10)
Option B is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 1.18 x 0.6
Now,
Solve the expression as;
The expression is,
⇒ 1.18 x 0.6
Since, 1.18 = 118 x 1/100
And, 0.6 = 6 x 1/10
Thus, The equivalent expression is,
⇒ 1.18 x 0.6 = (118 x 1/100) x (6 x 1/10)
Therefore, The equivalent expression of the expression 1.18 x 0.6 will be;
⇒ (118 x 1/100) x (6 x 1/10)
Option B is true.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Mike deposited $850 into the bank in July. From July to December, the amount of money he deposited into the bank increases by 25% per month. What's the total amount of money in his account after December? Round your answer to the nearest penny.
Answer:
$1062.5
Step-by-step explanation:
Since it is given that Money is increased by 25% from July to December.
Also, Mike deposit $850 in a bank account
Thus, He get money at the end of December = $850 × (100 + 25)%
⇒ Total Money = $850 × 125%
⇒ Total Money = $850 × 1.25
⇒ Total Money = $1062.5
Which of the following is NOT true? Question 19 options: (3x2y5)3=27x6y15 (1000x12y20z−3)0=1 52‾‾√3=523 42×43= 165
Answer:
Step-by-step explanation:
Lets try to simplify each to check which one is incorrect so it will be NOT true
first one is :
distribute the exponent so :
[tex](3x^2y^5)^3 =3^3x^{2*3}y^{5*3}[/tex]
[tex]27x^6y^{15}[/tex] CORRECT
Second one is :
[tex](1000x^{12}y^{20}z^{-30})^{0} =1[/tex]
CORRECT because anything raised to exponent 0 is 1 .
Last one is :
[tex]4^2 *4^3 = 4^{2+3}\\=4^{6}\\=(4)^{2*3}\\=16^{3}[/tex]
so Last is INCORRECT
Fifteen chairs wee put into 3 rows of 5. Write an equation to show a relationship between the numbers.
That relationship can be expressed by either of ...
15 = 3 × 515 = 5 × 3For this case we have to find an equation according to 15 chairs distributed in three rows of 5 chairs each.
If in each row there are 5 chairs, and we have a total of three rows, then, the total of chairs will be given by the multiplication of the rows by the number of chairs in each row, then we have the following equation:
[tex]15 = 3 * 5[/tex]
Answer:
[tex]15 = 3 * 5[/tex]
A car bought $52,000 and sold for $42,000. The percentage lost is?
A.19%
B.25%
C.29%
D. 20%
Calculate the difference between purchase and sales costs:
$52,000 - $42,000 = $10,000
Calculate what fraction of $52,000 is $10,000:
[tex]\dfrac{\$10,000}{\$52,000}=\dfrac{10}{52}=\dfrac{5}{26}[/tex]
Transform it to the percent:
[tex]\dfrac{5}{26}=\dfrac{5}{26}\cdot100\%=\dfrac{500}{26}\%\approx19\%[/tex]
Answer: A. 19%What mixed numbers are equivalent to −1. 5/6 and −1. 7/9 and use the LCD? Enter your answers in the box. if it helps the LCD is 18 will give brainlyest to whoever explains how to get this answer.
Answer:
the first one is -1 15/18 the next one is -1 14/18
Step-by-step explanation:
The mixed numbers that are equivalent to −1 5/6 and −1 7/9 are −1 15/18 and −1 14/18, respectively.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The LCD is the lowest common denominator for any two or more fractions. Now, for the given mixed numbers the two fractions given are 5/6 and 7/9, therefore, their LCD is the LCM of the denominator, in this case, the denominators are 6 and 9, therefore, the LCM of these two is 18.
Further to get the mixed number, the fraction is needed to be multiplied such that their denominator becomes 18.
5/6Multiply both the numerator and the denominator by 3, therefore,
(5/6) × (3/3) = 15/18
7/9Multiply both the numerator and the denominator by 2, therefore,
(5/6) × (2/2) = 14/18
Thus, the mixed fractions can be written as,
−1 5/6 = −1 15/18−1 7/9 = −1 14/18hence, the mixed numbers that are equivalent to −1 5/6 and −1 7/9 are −1 15/18 and −1 14/18, respectively.
Learn more about Least Common Multiple here:
https://brainly.com/question/20739723
#SPJ2
6 • 6 • 6 what is it
Answer:
216
Step-by-step explanation:
Multiply 6 by 6 and then multiply it again by 6.
Hope this helps
Answer:
216
hope this helps....
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302. Using this equation, how long would the foot of a person be if his forearm was 17 inches long? Be sure to show your work using the equation above.
Step-by-step explanation:
Note that:
length of foot = y
length of forearm = x = 17
Equation: y = 0.860x + 3.302
Plug in 17 for x in the equation, and simplify. Remember to follow PEMDAS, first multiply, then combine like terms:
y = (0.860)(17) + 3.302
y = 14.62 + 3.302
y = 17.922
length of foot = y = 17.922 inches long
~
Answer:
17.922 inches long
Step-by-step explanation:
y=0.860x + 3.302
y= 0.860(17) + 3.302
y= 14.62 + 3.302
y= 17.922
Hope it helps!!
Mark is trying to determine all three side lengths of an isosceles triangle. He knows that the two congruent sides on the triangle are both the square root of 36. The third side is the cube root 27. What are the three side lengths of the isosceles triangle?
Answer:
The congruent side length is 6. The third side length is 3.
Step-by-step explanation:
You find the square root by multiplying two of the same numbers to equal 36 which the answer is equal to 6.Then you find the cube root of 27 by multiplying three of the same numbers together to equal 27 which is equal to 3.I don't really understand function that much. Can anyone help me?
13. The points that shows f(x) = g(x) are (0, 3) and (4, -5)
14a, h(45) = 7 means that after 45 days of planting the height will be 7 cm
14b. h(65) = 11
15a. g(t) = 1
15b. f(x) = 11
16. t = 8
How to find the solution of the graph
13. The solution of the graph is the point of intersection of the line and the curve
14. For the function, the value after the equality sign shows the value h while the value in the parenthesis shows the value for t
15. g(t) = 4t - 7
g(2) = 4(2) - 7 = 1
f(-3) = (-3)² + 2 = 11
f(t) = 14 - 3t
-10 = 14 - 3t
-24 = -3t
-24/-3 = t
t =8
Graph y+6=45(x+3) using the point and slope given in the equation
Answer:
Check attached graph of the line in picture
Step-by-step explanation:
Step-by-step explanation:
We have been given an equation y+6=45(x+3) in point slope form.
It says to use the point and slope from given equation to create the graph.
So compare equation y+6=45(x+3) with point slope formula
y-y1=m(x-x1)
we see that m=45, x1=-3 and y1=-6
Hence first point is at (-3,-6)
slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).
Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the line in attached graph.
Mr Loretti spends $4.83 on pens and notebooks. How many of each item does he buy Expalin how you got your answer
Answer: He bought two notebooks- 0.99*2=1.98.
He bought three pens - 0.95*3= 2.85
1.98+2.85=4.83
A rectangular bathroom floor is 5 feet wide and 6 feet long it is to be covered with square tiles that measure 6 inches on each side and cost 1.89 a piece the tiles are to be laid with no space between them what till be the total cost of the tiles
Answer:
the answer is $9.45.
Step-by-step explanation:
5*6=30,30/6=5,1.89*5=9.45.
The linear function f(x) passes through the points (0,1) and (2,7).
A few values from the exponential function g(x) are shown in the table.
x g(x)
−1 1.5
2 12
3 24
What is the positive difference in the y-intercept value of f(x) and g(x) ?
Enter your answer in the box.
Final answer:
The y-intercept of function f(x) can be found by using the given points to determine the slope and then plugging in the slope and a point into the point-slope equation. The y-intercept of function g(x) is given by the table. The positive difference in the y-intercept values of f(x) and g(x) is -0.5.
Explanation:
The y-intercept of a linear function represents the value of the function when x is equal to 0. To find the y-intercept of function f(x), we can use the given points (0,1) and (2,7) to determine the slope of the line. The slope is calculated by taking the difference in the y-coordinates and dividing it by the difference in the x-coordinates:
slope = (7 - 1) / (2 - 0) = 3.
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Using the point (0,1) and the slope 3, we get:
y - 1 = 3(x - 0).
Simplifying the equation gives us:
y = 3x + 1.
The y-intercept of function g(x) is given by the table as the value of g(x) when x = -1, which is 1.5.
The positive difference in the y-intercept values of f(x) and g(x) is given by:
1 - 1.5 = -0.5.
When Stephanie was 13 years old she had 137 baseball cards. Each year for her birthday she got 25 more. Stephanie is now 28 years old. Assuming Stephanie has not lost or destroyed any cards, how many baseball cards does she have now?
Answer:
512 baseball cards
Step-by-step explanation:
At 13, Stephanie had 137 baseball cards.
There are 28-13 = 15 years between 13 and 28
For those 15 years, she got 25 cards a year.
15 * 25 = 375
In those 15 years, she got 375 cards.
She started with 137, and she gained 375.
137+375 = 512
She now has 512 cards.
What is the measure of
Answer:
47
Step-by-step explanation:
What is the value of the underlined digit? 526
In the number 526, the underlined digit '5' represents the 100's place, so its value is not simply 5, but 500. A helpful tool to work with such problems is the place value chart.
Explanation:In the number 526, the emphasized or underlined digit represents the 100's place. So, the value of this specific digit, which happens to be 5, isn't simply 5 but 500 in the context of this particular group of digits. You can easily understand this by breaking down the number: 526 equals 500 (5 hundreds) plus 20 (2 tens) plus 6 (6 ones).
Another easy method to identify the value of an underlined or specific digit in a number is by knowing the place value chart, which runs from right to left as: Ones, Tens, Hundreds, Thousands, and so on. The third digit from right is the Hundreds place, and since in 526, 5 is in this position, its value becomes 500.
Learn more about Place Value here:https://brainly.com/question/27734142
#SPJ2