65% of what number is 143
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:
How long does it take to go 20 miles at 70 mph?
Beth did a walk for charity and earned $24 for every 2 1/2 miles she walked. what is the unit rate?
Can you form a right triangle with the three lengths given? Why or why not? 4mi, 5mi, 6mi
An item on sale costs 95% of the original price. if the original price was $60 , what is the sale price?
At a bicycle store, there were a bunch of bicycles and tricycles. if there were 32 seats and 69 wheels, how many bicycles and how many tricycles were there?
By setting up a system of equations and solving for the number of bicycles (B) and tricycles (T) based on the total seats and wheels, we can determine there are 27 bicycles and 5 tricycles.
To determine the number of bicycles and tricycles in the bicycle store given that there are 32 seats and 69 wheels, we can set up a system of equations. Let's let B represent the number of bicycles and T represent the number of tricycles. Since bicycles have 2 wheels and tricycles have 3 wheels, we can express the total number of wheels as:
2B + 3T = 69
Each bicycle and tricycle has one seat, so we can also express the total number of seats as:
B + T = 32
To solve this system, we can multiply the second equation by 2 and subtract it from the first equation to eliminate B:
(2B + 3T) - (2(B + T)) = 69 - 64
2B + 3T - 2B - 2T = 69 - 64
T = 5
Now we substitute T into the second equation:
B + 5 = 32
B = 32 - 5
B = 27
So, there are 27 bicycles and 5 tricycles in the bicycle store.
Calculate the length of the marked side
line AB the one marked c cm is:
8.2 * sin(49)=
6.1889
round answer to 6.2 cm
If we express $-2x^2 + 4x + 5$ in the form $a(x - h)^2 + k$, then what is $k$?
A company rents riding equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting riding equipment for x number of days:
Riding Equipment Rentals
Number of Days
(x) Total Charges (dollars)
(y)
0 6
1 16
2 26
What is the fixed amount charged?
$6
$10
$16
$26
(is it a or b?)
Answer:
A - 6$
You pay six dollars up front, on day zero.
The formular f = 9c/5 + 32 converts temperature in degrees Celsius into temperature in degrees Fahrenheit use the formula to find the value of f when c = -5 also help with the other questions please
What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?
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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assume y varies directly as x. if y=8 when x=42; find y when x=126
What is the probability of getting either a sum of 5 or at least one 4 in the roll of a pair of dice?
How do you write 180% as a fraction or mixed number in simplest form?
To write 180% as a fraction or mixed number in simplest form, convert the percent to a fraction with a denominator of 100 and simplify the fraction. The simplified fraction is 9/5 or the mixed number is 1 and 4/5.
Explanation:To convert a percent to a fraction or mixed number in simplest form, we need to write the percent as a fraction with a denominator of 100 and then simplify it. In this case, 180% can be written as 180/100. To simplify, we divide both the numerator and denominator by their greatest common divisor, which is 20. So, the simplified fraction is 9/5. This fraction can also be expressed as a mixed number by dividing the numerator by the denominator. Since 9 is greater than 5, the mixed number is 1 and 4/5.
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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
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
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.
A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?
To determine the number of general admission tickets sold, two equations were formed using the total number of attendees and total sales. By applying the elimination method to solve the system of equations, it was found that 148 general admission tickets were sold.
To solve this problem, we can set up two equations based on the number of people and the total sales. Let x represent the number of student tickets sold at $3.00 each, and let y represent the number of general admission tickets sold at $7.50 each. We are given that a total of 210 people attended, so:
1) x + y = 210
We are also given that the total sales were $1296, so:
2) 3x + 7.5y = 1296
We can solve this system of equations using the substitution or elimination method. For this example, I will use the elimination method. To eliminate one variable, we can multiply the first equation by 3, which gives us:
3x + 3y = 630
Now, by subtracting this new equation from the second equation, we eliminate x:
7.5y - 3y = 1296 - 630
4.5y = 666
Dividing both sides by 4.5, we find that:
y = 148
So, 148 general admission tickets were sold on the opening night of the school musical.
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?
What three different equations that have x = 5 as a solution
The line which passes through the point (-1,2) and whose slope is undefined. Write it in slope intercept form
Given that h(x) = 3x −19, find the value of x that makes h(x) = 71. (5 points)
30
43
52
194
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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According to the rules of significant figures:
1 • 225 = 200
A. True
B. False
Solve the equation. 4p + 25 = 6(p – 3) – 3(4 – 3p)
Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?
Answer: [tex]4.33\text{ cars per month.}[/tex]
Step-by-step explanation:
Given : Ervin sells vintage cars. Every three months, he manages to sell 13 cars.
[tex]m=\dfrac{\text{change in y}}{\text{change in x}}[/tex]
If time in months is along the x-axis and the number of cars sold is along the y-axis
Change in months : 3
Change number of cars : 13
The slope of the line that represents this relationship will be :-
[tex]m=\dfrac{\text{Change in cars}}{\text{Change in months}}\\\\=\dfrac{13}{3}=4.33333\approx4.33\text{ cars per month.}[/tex]
Hence, the slope of the line = [tex]4.33\text{ cars per month.}[/tex]
Answer:
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What is the difference between slope and unit rate?
Ok this is really worth 90 pts, so can any body please help me on this.
Question 4 (Worth 90 points)
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
Part 1 (or a if you prefer):
f(x) = 5^x
f(x) = 5^0 = 0
f(x) = 5^1 = 5
Use this formula to solve: f(b) - f(a)/b - a
5 - 0 / 1 - 0 = 5/1 = 5
--
f(x) = 5^2 = 25
f(x) = 5^3 = 125
125 - 25 / 3 - 2 = 100/1 = 100
Average rate of change:
Section A: 5
Section B: 100
Part 2 (or b if you prefer):
Section B is 20 times greater then A
This is because Section B is increasing in the equation. Thus, Section B is of greater value than Section A.
Hope this assists you and future students.