Answer:
63m + 21
Step-by-step explanation:
You will just multiply 7 to 9m and 3 to get the answer.
7(9m + 3)
63m + 21
Hope this helps, thank you :) !!
Select the correct answer from each drop-down menu.
The table shows the cost of tickets at a carnival.
Number of Tickets Total Cost
1 $2.50
2 ?
3 $7.50
4 ?
5 $12.50
6 $15.00
7 $17.50
Assuming that the cost of tickets follows the same pattern as the number of tickets increases, find the values that are missing from the table and determine the total cost of nine tickets.
The cost of two tickets is
, the cost of four tickets is
, and the cost of nine tickets is
.
The missing values are 2.5, 10 and 22.5
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Using equation (y2-y1)/(x2-x1) to find the slope.
Now using two points as (5, 12.5) and (6, 15.00)
So, (15-12.5)/(6-5)
=2.5/1
=2.5
Hence, single ticket costs 2.5
For 2 tickets,
= 2.5×2=5
The cost of two tickets is $5
For 4 tickets,
= 4×2.5=10
The cost of four tickets is $10
For 9 tickets,
= 2.5×9=22.5
The price of nine tickets is $22.5.
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Solve (2x - 4) <8.
x= <5
x=<2
x=<6
x=4
Answer:
X = <6
Step-by-step explanation:
(2x - 4) < 8
2x - 4 + 4 < 8 + 4
2x < 12
2x/2 < 12/2
x < 6
Hope this helps! :)
I need help please.
The answer I have picked is incorrect
Answer:
the area would be 64
Step-by-step explanation:
What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is located at 0, 2. The points are connected by a line segment. Group of answer choices 5 7 6 4 Flag question: Question 3
Answer: 5
Step-by-step explanation:
Use the Formula d = √((x2 - x1)2 + (y2 - y1)2)
Find the difference between coordinates:
(x2 - x1) = (-3 - 0) = -3
(y2 - y1) = (-2 - 2) = -4
Square the results and sum them up:
(-3)2 + (-4)2 = 9 + 16 = 25
Now Find the square root and that's your result:
Exact solution: √25 = 5
Approximate solution: 5
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving distance. b. What is the probability the driving distance for one of these golfers is less than 290 yards
Answer:
a) \(f(x) = \frac{1}{25.9}\)
b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
\(P(X < x) = \frac{x - a}{b - a}\)
The probability of finding a value between c and d is:
\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)
The probability of finding a value above x is:
\(P(X > x) = \frac{b - x}{b - a}\)
The probability density function of the uniform distribution is:
\(f(x) = \frac{1}{b-a}\)
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.
This means that \(a = 284.7, b = 310.6\).
a. Give a mathematical expression for the probability density function of driving distance.
\(f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}\)
b. What is the probability the driving distance for one of these golfers is less than 290 yards?
\(P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046\)
0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
DONT IGNORE PLEASE!! What is the measure of angle c
A. 94°
B. 86°
C. 18°
D. 274°
Answer:
B
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180° , so
∠ c + 56° + 38° = 180°
∠ c + 94° = 180° ( subtract 94° from both sides )
∠ c = 86°
Which number line best represents the solution to the inequality 7x ≤ 49 ?
Step-by-step explanation:
uedhhhjdjdhdhdddjjdhvdhddbdbddbb
Answer:
A
Step-by-step explanation:
im not 100 % sure hope i am correct
One interior angle of a triangle is 43°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. 2x + 43 = 180 2x − 43 = 90 x + 43 = 180 x − 43 = 90
Answer:
x − 43 = 90
Step-by-step explanation:
2x + 43 = 180
2x − 43 = 90
x + 43 = 180
x − 43 = 90
For what values of a does the equation ax^2+x+4=0 have only one real solution?
Answer:
1/16
Step-by-step explanation:
To have one real solution, the discriminant must be 0.
b² − 4ac = 0
1² − 4a(4) = 0
1 − 16a = 0
a = 1/16
what does B equal ? please help me
Answer:
108
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
A = B
6x+18 = x+93
Subtract x from each side
6x+18 -x = x+93-x
5x +18 = 93
Subtract 18 from each side
5x + 18-18 = 93-18
5x =75
Divide by 5
5x/5 = 75/5
x = 15
Angle B
x+93
15+93
108
Answer:
Solution given:
<A+<B=180°[ alternate exterior angle are equal]
6x+18=x+93
6x-x=93-18
5x= 75
x=15
now
<B=15+93=108°
Cookies are on sale! Today each cookie costs
$
0.75
$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy
7
77 of them it will only cost you
$
2.80
$2.80dollar sign, 2, point, 80!
Write an equation to determine the normal price of each cookie
(c)
(c)left parenthesis, c, right parenthesis.
The correct answer is:
The equation is \(7(c-0.75) = 2.80\), and the regular price of a cookie is \(c =\$1.15\).
Explanation:
c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression \(c-0.75\).
We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, \(c-0.75\), by 7 and set it equal to $2.80:
\(7(c-0.75) = 2.80\)
To solve, first use the distributive property:
\(7 \times c-7\times0.75 = 2.80\)
\(7c-5.25 = 2.80\)
Add 5.25 to each side:
\(7c-5.25+5.25 = 2.80+5.25\)
\(7c = 8.05\)
Divide each side by 7:
\(7c\div7 = 8.05\div7\)
\(c = \$1.15\).
Solve the compound inequality 4x - 7 > 5 or 5x+4 3 -6.
The expressions we have are:
\(\begin{gathered} 4x-7>5 \\ or \\ 5x+4\leq-6 \end{gathered}\)We need to solve each of these expressions, and since it is a compound inequality, the solution will be the solution of the first inequality OR the solution of the second inequality.
We start by solving:
\(4x-7>5\)The first step is to add 7 to both sides:
\(\begin{gathered} 4x-7+7>5+7 \\ 4x>12 \end{gathered}\)The next step is to divide both sides by 4:
\(\begin{gathered} \frac{4x}{4}>\frac{12}{4} \\ x>3 \end{gathered}\)We have the first part of the solution: x>3
Now we need to solve the second inequality:
\(5x+4\leq-6\)The first step is to subtract 4 to both sides:
\(\begin{gathered} 5x+4-4\leq-6-4 \\ 5x\leq-10 \end{gathered}\)And the second step is to divide both sides by 5:
\(\begin{gathered} \frac{5x}{5}\leq-\frac{10}{5} \\ x\leq-2 \end{gathered}\)We have the second part of the solution. And since the initial conditions are one inequality OR the other, the same goes to express the solution:
\(x\leq-2\text{ or x>}3\)ANSWER: OPTION D
\(x\leq-2\text{ or x>}3\)A university is trying to determine what price to charge for tickets to footbal games. At a price of $20 per ticket, attendance averages 40,000 people per game. Every decrease of $5 adds 10,000 people to the average number.
Every person at the game spends an average of $5.00 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price?
The price that maximizes revenue is $10 per ticket, which will bring in $1,500,000 in revenue. 60,000 people will attend at that price.
What is price?Price is the amount of money that is required to purchase or obtain a good or service. It is a numerical value that is assigned to a particular product or service and is used to indicate its value in the market. The price of a product or service is determined by a variety of factors, including the cost of production, supply and demand, competition, and market conditions.
In the given question,
To maximize revenue, we need to find the price per ticket that will bring in the greatest total revenue. Let's start by figuring out how many people will attend at various price points:
At $20 per ticket, 40,000 people attend.
At $15 per ticket, 50,000 people attend.
At $10 per ticket, 60,000 people attend.
At $5 per ticket, 70,000 people attend.
Now we can calculate the total revenue at each price point:
At $20 per ticket, revenue is 40,000 × $20 + 40,000 × $5 = $1,000,000.
At $15 per ticket, revenue is 50,000 × $15 + 50,000 × $5 = $1,250,000.
At $10 per ticket, revenue is 60,000 × $10 + 60,000 × $5 = $1,500,000.
At $5 per ticket, revenue is 70,000 × $5 + 70,000 × $5 = $700,000.
From these calculations, we can see that the price that maximizes revenue is $10 per ticket, which will bring in $1,500,000 in revenue. 60,000 people will attend at that price.
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What is the value of sin(t) if Cos(t)=4/5 and t is in quadrant 1
Answer:
0.6 or 3/5
Step-by-step explanation:
If cos(t) = 4/5, then, taking the arccos of both sides, t ≈ 36.86989765. Taking the sin of that gives you 0.6, or 3/5 in fraction form.
Determine the value of a if f(x) =(ax²-1 if x < 1 a(x² - 2x + 1) ifx>1 is continuous atx = 1.
-1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.
To determine the value of "a" for which the function f(x) is continuous at x = 1, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 1 are equal, and if the value of f(x) at x = 1 is equal to these limits.
First, let's calculate the left-hand limit of f(x) as x approaches 1. For x < 1, the function is given by f(x) = (ax² - 1). To find the left-hand limit, we substitute x = 1 into this expression:
lim(x→1-) f(x) = lim(x→1-) (ax² - 1) = a(1²) - 1 = a - 1.
Next, let's calculate the right-hand limit of f(x) as x approaches 1. For x > 1, the function is given by f(x) = (a(x² - 2x + 1)). Substituting x = 1 into this expression, we have:
lim(x→1+) f(x) = lim(x→1+) (a(x² - 2x + 1)) = a(1² - 2(1) + 1) = a(1 - 2 + 1) = a.
For the function f(x) to be continuous at x = 1, the left-hand limit and the right-hand limit should be equal. Therefore, we have:
a - 1 = a.
To solve this equation for "a," we subtract "a" from both sides:
-1 = 0.
Since -1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.
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If the number under the square root radical has no perfect souare
factors, then it cannot be simplified further.
TRUE
FALSE
Answer:
true
Step-by-step explanation:
Examples :
180 = 5 × 2² × 3²
Then
The number 180 has perfect square factors which are 2 and 3
Then
The number √180 can be simplified because:
\(\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}\)
\(=\sqrt{5\times \left( 2\times 3\right)^{2} }\)
\(=\sqrt{5\times \left( 6\right)^{2} }\)
\(=\sqrt{5} \times \sqrt{6^{2}}\)
\(=6\sqrt{5}\)
On the other hand :
10 = 5 × 2
Then
The number 10 has no perfect square factors
Then
The number √10 cannot be simplified because:
\(\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}\)
\(\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}\)
In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in some cases the Law of Sines returns two possible measurements.
Consider the diagram below, and assume that m∠B=61∘, ¯¯¯¯¯¯¯¯AB=4.27 cm, and ¯¯¯¯¯¯¯¯AC=3.98 cm.
Using the Law of Sines, determine the value of m∠C. You should notice that there are actually two possible values - list both of them (separated by a comma).
m∠C= °
If we assume the diagram is to scale, which value of m∠C makes more sense? Enter the appropriate value.
m∠C= °
Using your answer to part (b), determine the length of BC.
¯¯¯¯¯¯¯¯BC= cm
Answer:
Step-by-step explanation:
Write an equation for the n th term of the arithmetic seqeuence. Then find a10
-5, -4, -3, -2, ...
-
-
The nth term of the given arithmetic sequence is given by a(n) = -6 + n and the value of a10 is 4.
The arithmetic sequence is -5, -4, -3, -2, ...
Here, the first term (a) = -5
The common difference (d) = a 2 - a 1
= -4 - (-5) = -4 + 5
= 1
⇒ d = 1
Formula of nth term of the Arithmetic Sequence is given by
a(n) = first term + (n-1) × common difference
a(n) = a + (n-1) × d
Now, nth term of the Arithmetic Sequence is
⇒ a(n) = -5 + (n-1) (1)
= -5 + n - 1
= -6 + n
or, a(n) = -6 + n
Hence, the nth term of the given Arithmetic sequence is given by
a(n) = -6 + n
The value of a10 means the value arithmetic sequence at n = 10
a10 = -6 + n = -6 + 10 = 4
Therefore, the nth term of the given arithmetic sequence is -6 + n and the value of is a10 is 4.
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I NEED HELP ON MATH PLS
Answer:
5/2 or 2½ or 2.5
Step-by-step explanation:
20/8 = 2.5
10/4 = 2.5
How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.
A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.
Answer:
I don't know
Ich bin fett
I'm just a fat boy watching ph once a month
Step-by-step explanation:
bobo Ampt
Please help me! I would appreciate it a lot!
Answer:
d
Step-by-step explanation:
In a school election, Yolanda got 160 more votes than Alex, and Alex got twice as many votes as Jennifer. A total of 440 votes were cast.
Answer:
Let votes of Jennifer be x
Total votes = x+(x*2)+(x*2+160)
440=x+2x+2x+160
440-160=5x
x=280/5=56
Votes of Jennifer= 56
votes of Alex= 56*2= 112
votes of Yolanda= 112+160= 272
Hi can someone please help me out and explain the question in the picture? Thanks I appreciate it. I’ll give brainly :)
Answer:
$52.50
Step-by-step explanation:
1500 * 3.5% = 52.50
Answer:
$52.5 for the first year
Step-by-step explanation:
You can derive a decimal from a percentage by dividing by 100.
For example, 1% is 0.01
3.5% is 0.035
You can also move the decimal point back 2 places, but that's cringy.
So the problem says how much interest she will have to pay after one year, when the interest rate is 3.5%.
Therfore, we must multiply:
1500 by 3.5%
We stated that 3.5% is 0.035, so we can replace that
1500 * 0.035
Plug that into a caluclator and we get.....
$52.5 for the first year
ANSWER CHOICE 1
Phew! That was a long problem! May I please have Brainliest?
Help Will Give Brainliest.
Find The Surface Area
Answer:
54
Step-by-step explanation:
A rectangle + a triangle
= 2 * 12 + (7 - 2) * 12/2
= 24 + 30
= 54
can you guys help me answer these questions in full sentences? ill give extra points & brainlist! :)
Answer:
Step-by-step explanation:
for 1 : I dont think that the graying population is bad but its not good because there needs to be a balence area in between.
Lol im sorry i can only figure 1 out ill let u know if 2 comes to me
help. use the figure shown to the right to find the value of x
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
How are you supposed to do this
Answer:
4x < -8
you will need to isolate the variable to be by itself by performing the inverse property of multiplication which is division;
/4 /4(divide by 4 from both sides)
x < -2
1. Evaluate the expression when b = 24.3
10 + b
HELP!!! I have no clue!!! Please help