The attendance at a ball game was 400 people. student tickets cost $2 and adult tickets cost $3. if $1050 was collected in ticket sales, how many of each type of tickets were sold
Sarah needs 11 bottles of water from the store. sarah can only carry three at a time. what's the minimum number of trips sarah needs to make to the store?
While hiding behind a bush, Chamara sees an ice cream truck and yelps in joy. Kevin, Justin, and Jason come running over to buy ice cream upon hearing Chamara yelp. The four of them each want an ice cream cone. Each ice cream cone is $4. The cones are each buy one get one half off. If they decide to split the cost evenly, how much do each of the boys pay?
A bag of grass seed weight 1/7 of a gram. That was enough to cover 1/6 of the lawn. How many grams of seed do they need to cover the entire lawn?
How long does it take to go 20 miles at 70 mph?
The measure of angle b is three times the measure of angle
a. the sum of the angle measures is 128°. find the value of x.
What is the difference between slope and unit rate?
To find a baseball pitcher's earned run average (ERA), you can use the formula Ei = 9r, in which E represents ERA, i represents the number of innings pitched, and r represents the number of earned runs allowed. Solve the equation for E. What is a pitcher's ERA if he allows 57 earned runs in 63 innings pitched? If necessary, round your answer to the nearest hundredth.
20 POINTS TO WHOEVER ANSWERS THIS FIRST
Translate the word phrase into a math expression
12 meters longer than his throw
A.T / 12
B. 12 x T
C. T - 12
D. T + 12
How does solving absolute value inequalities relate to solving compound inequalities?
An absolute value inequality is solved by re-writing it as compound inequality. For example.
|x+1| < 5
Since the value inside the absolute value brackets: (x+1) can be positive or negative, it is re-written as a compound inequality as the example below.
x+1 < 5
x+1 > - 5
solve for the range of values x can be
-6 < x < 4
Solving absolute value inequalities yields compound inequalities. Absolute value cases create intervals, linking the processes in algebraic solutions.
Solving absolute value inequalities and compound inequalities are related concepts in algebra, both involving multiple solutions and a range of possible values. Absolute value inequalities often result in compound inequalities due to the nature of the absolute value function.
When solving an absolute value inequality, such as [tex]\(|x - a| < b\), where \(a\)[/tex]and[tex]\(b\)[/tex] are constants, it generally leads to two separate cases: [tex]\(x - a < b\)[/tex] and [tex]\(x - a > -b\).[/tex] These cases represent the intervals where the expression inside the absolute value is less than [tex]\(b\)[/tex] and greater than its negative counterpart.
This process connects with solving compound inequalities, which involve combining two or more inequalities using logical connectors like "and" or "or." The solutions to the individual inequalities are then used to determine the overall solution to the compound inequality.
For instance, in the absolute value inequality[tex]\(|x - a| < b\)[/tex], the resulting compound inequality might be [tex]\(a - b < x < a + b\)[/tex]. This demonstrates that the solutions lie within the interval \((a - b, a + b)\), illustrating the linkage between solving absolute value inequalities and dealing with compound inequalities. Both concepts require careful consideration of multiple scenarios and the integration of solutions to find the overall solution set.
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Angle a and angle b are complementary . angle a= 5x+2 degrees find angle b
Find angle B if triangle ABC below is isosceles.
a. 77 degrees
b. 36 degrees
c. 50 degrees
d. 44 degrees
2x-20 = x+8
x-20 =8
x = 28
28+8 =36
angle B = 36 degrees
answer is b
A box contains 10 cups of pancake mix. You use 23 cup each time you make pancakes. How many times can you make pancakes?
Answer:
PANCKACKES
Step-by-step explanation:
The graph shows the altitude of a helicopter over time.
A graph measuring altitude and time. A line runs through coordinates (0, 10,000) and (15, 4000) and shows a decrease in altitude as time increases What is the slope of the line and what does it mean in this situation?
a. The slope is –2000 . This means that the helicopter descends 2000 ft each minute.
b. The slope is –400 . This means that the helicopter descends 400 ft each minute. The slope is 400. This means that the helicopter ascends 400 ft each minute.
c. The slope is 2000. This means that the helicopter ascends 2000 ft each minute.
b. The slope is - 400. This means that the helicopter descends 400 ft each minute. The slope is 400. This means that the helicopter ascends 400 ft each minute.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
This situation is mathematically represented as a line and slope.
Points (0, 10,000) and (15, 4000).
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
Slope(m) = (4000 - 10000)/(15 - 0).
Slope(m) = - 6000/15.
Slope(m) = - 400.
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The line which passes through the point (-1,2) and whose slope is undefined. Write it in slope intercept form
what is 21 1/4% expressed as a fraction
[tex] p\%=\dfrac{p}{100}=p:100\\\\21\dfrac{1}{4}\%=\dfrac{21\cdot4+1}{4}=\dfrac{85}{4}\%=\dfrac{85}{4}:100=\dfrac{85}{4}\cdot\dfrac{1}{100}=\dfrac{85}{400}=\dfrac{85:5}{400:5}=\dfrac{17}{80} [/tex]
Answer:
the answer is 17/80 hope this helps
Which term applies to numbers that cannot be written in this form a/b
during the 2009-2010 basketball season, the number of points scored in each game by the boston celtics was approximately normally distributed with a mean of 99.2 points and a standard deviation of 10.5 pthe mean number of points scored by los angeles lakers was 101.7. in what proportion of their games did the celtics score more than the lakers' mean score?
To solve this problem, we use the z statistic. The z formula is:
z = (x – u) / s
where x is lakers score = 101.7, u is Celtics score = 99.2, s is standard dev = 10.5
z = (101.7 – 99.2) / 10.5 = 0.24
using the normal distribution table at z = 0.24, the P value is:
P (z = 0.24) = 0.5984 = 59.84%
To find the proportion of games in which the Boston Celtics scored more than the Los Angeles Lakers' mean score, we need to standardize the Lakers' mean score, find the z-score, and then find the proportion from the standard normal distribution table.
Explanation:To find the proportion of games in which the Boston Celtics scored more than the Los Angeles Lakers' mean score, we need to find the area under the normal distribution curve to the right of the Lakers' mean. First, we need to standardize the Lakers' mean score by finding the z-score using the formula:
z = (x - μ) / σ
where x is the mean score, μ is the mean of the Celtics' scores, and σ is the standard deviation of the Celtics' scores. Substituting the given values, we have:
z = (101.7 - 99.2) / 10.5 = 0.2381
Next, we find the proportion of scores greater than the Lakers' mean in the standard normal distribution table or using a calculator. Looking up the z-score of 0.2381 in the table, we find the proportion to be approximately 0.4069, or 40.69%.
Solve the equation -2.6b + 4 = 0.9b - 17
An item on sale costs 95% of the original price. if the original price was $60 , what is the sale price?
What is Fourteen less than five times a number is three times the number and what is Twelve more than seven times a number equals the number less six?
The solution to the first algebraic equation is x = 7, and the solution to the second equation is x = -3. Both problems involve setting up and solving algebraic equations to find the value of the unknown number.
To solve the problems stated, we need to set up algebraic equations and solve for the unknown number x.
For the first one:
Fourteen less than five times a number is three times the number: 5x - 14 = 3x.
After simplifying, we get 2x = 14.
Divide both sides by 2 to find x = 7.
For the second one:
Twelve more than seven times a number equals the number less six: 7x + 12 = x - 6.
Rearrange to find 6x = -18.
Divide both sides by 6 to find x = -3.
We have found that the unknown number in the first equation is 7 and in the second equation, it is -3.
Year (X) =2000 2001 2002 2003 2004
Cost in Dollars(Y) = 56.25 74.30 122.75 200.00 308.50
The table shows the cost of a game from 2000 to 2004, which has been increasing in a quadratic fashion. Let x = 0 in 2000, and find the best-fit quadratic equation. What will game cost in 2010?
A) $417
B) $746
C) $960
D) $1,586
Answer-
The best-fit quadratic equation is [tex]y=14.9786x^2+3.1057x+56.2771[/tex] and the game cost in 2010 will be $1586
Solution-
Plotting a table taking year as input variable and cost as output variable.
X= year - 2000
Y= cost in dollar.
Quadratic equation formula,
[tex]y=ax^2+bx+c[/tex]
[tex]a=\frac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}[/tex]
[tex]b=\frac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}[/tex]
[tex]c=\frac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}[/tex]
Where,
[tex]\sum xx=\sum x^2-\frac{(\sum x)^2}{n}[/tex]
[tex]\sum xy=\sum xy-\frac{\sum x\sum y}{n}[/tex]
[tex]\sum xx^2=\sum x^3-\frac{\sum x\sum x^2}{n}[/tex]
[tex]\sum x^2y=\sum x^2y-\frac{\sum x^2\sum y}{n}[/tex]
[tex]\sum x^2x^2=\sum x^4-\frac{(\sum x^2)^2}{n}[/tex]
Putting the values, we get
[tex]a=14.9786,b=3.1057,c=56.2771[/tex]
Putting these in the quadratic equation,
[tex]y=14.9786x^2+3.1057x+56.2771[/tex]
In order to get the cost of game in 2010, we can put x=10 to get the value of y or the cost of game.
[tex]y(10)=14.9786(10)^2+3.1057(10)+56.2771=1585.1941 \approx 1586[/tex]
Let gg be an exponential function that is changing at a rate proportional to itself, with constant of proportionality 0.60.6. (a) what's the growth factor of gg? .6 . (b) the function gg exhibits
The growth factor of g is given by [tex]A = e^{0.6t}.[/tex]
The function exhibits exponential growth.
We have,
(a)
Let's denote the growth factor as A(t), where t is the independent variable representing time.
The rate of change of g at any time t is proportional to g itself, with a constant of proportionality of 0.6.
This can be expressed as:
dA/dt = 0.6A
This is a separable differential equation, which we can solve by separating the variables and integrating them:
1/A dA = 0.6 dt
Integrating both sides,
ln|A| = 0.6t + C
Here, C is the constant of integration.
Exponentiating both sides:
[tex]|A| = e^{0.6t + C}[/tex]
Since the growth factor A is always positive, we can drop the absolute value:
[tex]A = e^{0.6t + C}[/tex]
We can do this by considering the initial condition.
Let's assume that at t = 0, the growth factor A is 1 (no growth). Substituting these values into the equation:
[tex]1 = e^{0.6(0) + C}\\1 = e^C[/tex]
Taking the natural logarithm of both sides:
[tex]ln(1) = ln{e^C}[/tex]
0 = C
So,
[tex]A = e^{0.6t}[/tex]
(b)
The function g exhibits exponential growth, as the value of g increases exponentially with time.
Thus,
The growth factor of g is given by [tex]A = e^{0.6t}.[/tex]
The function exhibits exponential growth.
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The growth factor of gg is 0.6. The function exhibits exponential growth.
Explanation:(a) The growth factor of an exponential function is the base of the exponent. In this case, the growth factor is 0.6.
(b) The function gg exhibits exponential growth, meaning that as the input increases, the output increases at a proportional rate.
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If you used 765 KWH and the power company charges 0.06354/KWH and a customer charge of $3.75, how much will you pay?
What's the answer to blank plus 33 equals 5?
I have another Brainliest
You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the math mentally thanks to expanded notation and the Distributive Property.
Answer:
288 hours.
Step-by-step explanation:
You exercise 24 hours in 1 month.
There are 12 months in one year.
24 * 12 = 288
Therefore, you exercised 288 hours in one year.
Answer:
Calculation with Distribution
24 (1+1+1+1+1+1+1+1+1+1+1+1)
24*1+24*1+24*1+24*1+24*1+24*1+24*1+24*1+24*1+24*1+24*1+24*1
24+24+24+24+24+24+24+24+24+24+24+24
288 hours
You did 288 hours of exercise.
Calculation without Distribution
24(1+1+1+1+1+1+1+1+1+1+1+1)
24(12)
288 hours
You did 288 hours of exercise.
Step-by-step explanation:
Factor this expression completely and then place the factors in the proper location on the grid. Note: Place factors alphabetically in the grid! mr + ns - nr - ms
Answer:
(m-n)(r-s)
Step-by-step explanation:
We will factor this by grouping. First we rearrange the terms so the m's are together and the n's are together:
mr-ms+ns-nr
Next we group the first two and the last two:
(mr-ms)+(ns-nr)
The GCF of the first group is m; factor this out:
m(r-s)+(ns-nr)
The GCF of the second group is n; factor this out:
m(r-s)+n(s-r)
We want to have the same thing in both sets of parentheses; to do this, we will multiply the second factor by -1:
m(r-s)+-n(r-s)
Factoring out the term now in common, r-s, we have
(r-s)(m-n) = (m-n)(r-s)
True or false?
this is the equation of a horizontal hyperbola (y-2)^2/16-(x+1)^2/144=1
False, the given equation of hyperbola is vertical hyperbola.
What is hyperbola?
Hyperbola is defined as a conic section, two-branched open curve, produced by the intersection of a circular cone.
[tex]\frac{(y-2)^2}{16} -\frac{(x+1)^2}{144}=1[/tex]
Simplify each term in the equation in order to set the right side equal to 1
The standard form of an ellipse or hyperbola requires the right side of the equation be 1
This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
[tex]\frac{(y-k)^2}{a^2} -\frac{(x-h)^2}{b^2}=1[/tex]
Match the values in this hyperbola to those of the standard form. The variable
h represents the x-offset from the origin,
k represents the y-offset from origin, a.
a=4
b=12
k=2
h=−1
c, the distance from the center to a focus 4√10
The foci is (−1,2+4√10),(−1,2−4√10)
Hence, the hyperbola is vertical.
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