Answer:
15.625
Step-by-step explanation:
old number = 288
new number = 243
percent decrease = (old - new / new ) * 100
= (288 - 243 / 288) * 100
= 45 / 288 * 100
= 15.625
Answer:
15.6 (rounded)
Step-by-step explanation:
I took the test
Line a passes through points (3, 1) and (5, 10). Line b is parallel to line a. What is the slope of line b?
Answer:
9/2
Step-by-step explanation:
Answer:2.8
Step-by-step explanation: casue yeas.
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Answer:
30 and 35
Step-by-step explanation:
Put this question into equation form:
Let x be the smaller number, if the larger number is 5 more and the total is 65:
x + 5 + x = 65
2x + 5 = 65
Subtract 5 from both sides
2x + 5 - 5 = 65 - 5
2x = 60
Divide both sides by 2:
2x ÷ 2 = 60 ÷ 2
x = 30
As the larger number is 5 bigger:
30 + 5 = 35
So the two numbers are 30 and 35.
Hope this helps!
Answer:
Small number 30
Large Number 35
Step-by-step explanation:
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
5 + y + y = 65
5 + 2y = 65
2y = 60
y = 30
Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:
x + y = 65
x + 30 = 65
X = 35
Therefore the large and small number us 35 and 30 respectively.
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
OY =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8
The cost per ride represents the intercept = $8
The cost per mile represents the slope = $0.35
The slope - intercept form of a linear equation is expressed as :
y = bx + c b = slope ; c = interceptTherefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8
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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
coffee in the morning. How long will it take for only 60% of the caffeine to remain in his body?
We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.
We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.
So we can define the proportion of coffee that Jeremiah has in his body as:
P(t) = 1*e^{k*t}
Such that:
P(4.8 h) = 0.5 = 1*e^{k*4.8}
Then, if we apply the natural logarithm we get:
Ln(0.5) = Ln(e^{k*4.8})
Ln(0.5) = k*4.8
Ln(0.5)/4.8 = k = -0.144
Then the equation is:
P(t) = 1*e^{-0.144*t}
Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:
P(t) = 0.6 = 1*e^{-0.144*t}
Again, we use the natural logarithm:
Ln(0.6) = Ln(e^{-0.144*t})
Ln(0.6) = -0.144*t
Ln(0.6)/-0.144 = t = 3.55
So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.
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Rewrite 2/3 and 1/15 as a unit rate
Answer:
10:1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The unit rate is found by dividing.
2/3 = 0.(6)
1/15 = 0.(6)
In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1
Answer:
A. 0.8Step-by-step explanation:
An easy way is to substitute values into both equations and compare:
A. x = 0.8
f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88g(x) = 5(0.8) - 1 = 3B. x = 0.9
f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92g(x) = 5(0.9) - 1 = 3.5C. x = 1.9
f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52g(x) = 5(1.9) - 1 = 8.5D. x = 1.1
f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12g(x) = 5(1.1) - 1 = 4.5As we see the most accurate one is A
Let's graph both function(Attached)
Let's round 0.775
[tex]\\ \sf\longmapsto 0.775[/tex]
[tex]\\ \sf\longmapsto 0.77[/tex]
[tex]\\ \sf\longmapsto 0.8[/tex]
Option A is correct
Emily took an airplane trip. Her plane flew an equal number of miles each hour. Write an equation to represent one way you can find how many miles Emily's plane flew each hour.
Use this to help you:
Air travel time: 12 hours
Destination: 2,184 miles
182.00 miles per hour
y = 182x will be the equation to represent one way you can find how many miles Emily's plane flew each hour.
What is the equation?A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
The information that is provided is
the air travel time is 12 hours
The destination miles will include 2,184 miles
Assuming the values of x and y
x = number of hours n
y = distance covered
The equation that will be made will be:
y = (2184 / 12)x
y = 182x
Therefore, the equation will be y = 182x.
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What is 2+100009 it for my homework and I need it done today
Answer:
100011
Step-by-step explanation:
Find the equation of the line passing through the points 7,2 and 9,1
9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
Alternative solution
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
if 6sinx=3cosx the value of tanx is
Step-by-step explanation:
tanx=sinx/cosx=3/6=1/2
Simplify 10^9 ÷ 10^7
Answer:
10^2
Step-by-step explanation:
10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2
Answer:
100
Step-by-step explanation:
Hope it helps
What is the answer to
2 3/8 - 1 5/8 =
Answer:
6/8
Step-by-step explanation:
you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8
reduce if you can
WHAT is the next sequence
Answer: its 21
Step-by-step explanation:
the sequence goes up by 1 each time
Answer:
21
Step-by-step explanation:
a1=1
a2=a1+2
a3=a2+3
a4=a3+4
...
a(n)=a(n-1)+n
f(x) = 3x + 1 and f-1 = f-1 = x-1 / 3
then f -'(7) =
Answer:
2
Step-by-step explanation:
f^-1 (7) = [tex]\frac{x-1}{3}[/tex] = [tex]\frac{7-1}{3}[/tex] = [tex]\frac{6}{3}[/tex] = 2
HELP ME OUT PLEASE
A die was rolled six times. The polls were 1,2,3,3,4 and 5. What is the mean deviation for this data!
A) 3/5
B) 1
C) 2
D) 6
Answer:The mean deviation of the given data is;
Option B: 1
Step-by-step explanation:
Σ(x - x¯)/n
Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5
x¯ = 3
Thus;
1 - 3 = -2
2 - 3 = -1
3 - 3 = 0
3 - 3 = 0
4 - 3 = 1
5 - 3 = 2
Mean deviation is usually a positive value. Thus;
Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2
Σ(x - x¯) = 6
Thus;
Σ(x - x¯)/n = 6/6
Σ(x - x¯)/n = 1
write an indirect proof that a triangle cannot have 2 right angles
Exercise #14: The mile and the kilometer are relatively close in size. Can you convert 1 mile into an equivalent
in kilometers? Here's what I'll give you. There are 2.54 centimeters in an inch, 5,280 feet in a mile, 100
centimeters in a meter, and 1000 meters in a kilometer. All else you should be able to do for yourself. Round
your answer to the nearest tenth of a kilometer. This takes quite a string of multiplications, but you can do it!
The equivalent of 1 mile to kilometres is approximately 1.6 km.
2.54 cm = 1 inch
5280 ft = 1 mile
100 cm = 1 m
1000 m = 1 km
Using the information let's convert 1 mile to kilometre.
1000 m = 1 km
Therefore,
1 m = 0.000621371 miles
1000 m(1 km) = ?
cross multiply
length = 1000 × 0.000621371 = 0.621371 miles
Therefore,
0.621371 miles = 1 km(1000 m)
1 miles = ?
length in km = 1.60934449789 km
Therefore,
1 miles = 1.6 km
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Solve 12x- 6y = 18 for y.
The given equation solved for y as y=2x-3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 12x-6y=18.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
6(2x-y)=18
⇒ 2x-y=3
⇒ y=2x-3
Therefore, the given equation solved for y as y=2x-3.
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Solve the following equation for x: 5x-3 1/2 = 9x+4 Enter answers as a decimal with no variable, no spaces, and no equal sign. DO NOT ROUND.
Answer:
− 1.875
Step-by-step explanation:
Do you want an explanation?
At football practice on Monday, Brandon threw a football into the target 5 times. The next Monday, he tripled the number of targets he hit. On the following Monday, his hits double that of the week before. Write and evaluate a numerical expression to find how many times he hit the target during those three weeks.
Enter the correct answers in the boxes.
Expression:
Answer:
try using a different app, it helps with all types of mathematical equations
A rectangular field is 350 meters long and 200 meters wide. What is the area of the field in square kilometers? Do not round your answer. Be sure to include
the correct unit in your answer.
0
km
km2
km
The area of the rectangular field is 0.07 square kilometers (km²).To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers.
To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers and then calculate the area.
Given:
Length of the field = 350 meters
Width of the field = 200 meters
To convert from meters to kilometers, we divide the measurements by 1000, since there are 1000 meters in a kilometer.
Length in kilometers = 350 meters / 1000 = 0.35 kilometers
Width in kilometers = 200 meters / 1000 = 0.2 kilometers
Now that we have the dimensions of the field in kilometers, we can calculate the area.
Area of the field = Length in kilometers * Width in kilometers
Area of the field = 0.35 kilometers * 0.2 kilometers
Multiplying the values, we get:
Area of the field = 0.07 square kilometers
Therefore, the area of the rectangular field is 0.07 square kilometers.
It's important to include the correct unit in the answer, which is "square kilometers" (km²). This represents the unit for measuring the two-dimensional area. In this case, the area of the field is 0.07 km².
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What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the
Hello!
-----------------------------------------------------------------------------------------------------------------
2x+5y=10
We want to turn this equation into y=mx+b form:
5y=-2x+10
Divide both sides by 5:
y=-2/5x+2
Now, the equation of the line parallel to it:
Remember, parallel lines have the same slope.
So these two lines have the same slope (-2/5)
Now, use Point-Slope form:
y-y1=m(x-x1)
y=1=-2/5(x-(-5)
y-1=-2/5(x+5)
y-1=-2/5x-2
y=-2/5x-2+1
y=-2/5-1
Hence, this is the required solution. I hope you find it helpful!
~SparklingFlower
--------------------------------------------------------------------------------------------------------------
Second Graph problem! Can anybody please help me out with this? (Almost done for today) (Algebra graph problem)
Answer:
x = -2
Step-by-step explanation:
The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection is 2 grid squares to the left of the y-axis, where x = -2.
f(-2) = 1
x = -2
will give brainliest to whoever helps
Answer:
x=4y
Step-by-step explanation:
Solving for x means you need to get it in the form x=?.
1. let's isolate the variable.
-2x-7y=y-4x
Add 4x to both sides to isolate:
2x-7y=y
Add 7y to both sides to isolate the x term:
2x=8y
Now we divide both sides by 2 (as we are solving for x):
x=4y
Hope this helps!
(b) Express the number 17
(i) in base 2
(ii) in base 5
Answer:
Step-by-step explanation:
IF 17 is in base 10
THEN
17₁₀ = 1 x 10¹ + 7 x 10⁰
10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰
32₅ = 3 x 5¹ + 2 x 5⁰
A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)
Answer:
C(x)=2400 - 80x
Step-by-step explanation:
since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x
Hey everybody! Can anybody help me out with this algebra problem? I would really appreciate it if you can!
The following relation is a variation. Which description best represents the relation?
Answer:
x and y are directly related because y = -3x
Step-by-step explanation:
plsssss helpppppp i’ll give brainliest
Answer:
[tex]-6\leq x\leq 6[/tex]
Step-by-step explanation:
This is answer for the last question.
what is 3/4 divided by 11/20
Answer:
11/15
Step-by-step explanation:
11/20 / 3/4
11/20*4/3
44/60
22/30
11/15
Answer:
15/11
Step-by-step explanation:
3/4 divided by 11/20?
Reduce the expression, if possible, by canceling the common factors.
Exact Form: 15/11
decimal form: 1.36
mixed number form: 1 4/11
phone company offers to monthly plans. Plan a cost $11 plus an additional $.19 for each minute of calls. Plan B cost $16 plus an additional $.15 for each minute of calls
Answer:
whats the question I can't help without a question