Answer: 5x+7y=500
Step-by-step explanation:
Gabriella is buying a pair of sneakers for $74.95. She has a coupon that will take $17.50 off the price of the sneakers.
How much will Gabriella pay for her sneakers after the discount?
$57.44
$56.45
$57.45
$56.65
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
42
Answer:
67.3°C
Step-by-step explanation:
A = 25, T(0) = 100, T(1) = 90, find T(4)
dT/dt = -k(T - A)
d(T - A)/dt = -k(T - A)
d(T - A)/(T - A) = -k dt
ln(T - A) = lnC - kt
[tex]T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75[/tex]
[tex]T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3[/tex]
Write the ratio in simplest form.
14:28?
How do I do that?
Answer:
2/3 is simplest form
Step-by-step explanation:
you find the greatest common factor of both numbers, in this case it is 7. Then, you divide both numbers by the greatest common factor to get the simplest form.
hope this helps ☺
Answer:
2/3 is
Step-by-step explanation:
One basketball team played 30 games throughout their entire season. If this team won 80% of those games, how many games did they win? Enter a numerical answer only.
A group of students went on a field trip. There were 3 boys for every 4 girls in the group. If there were 20 girls, how many students in all went on the field trip?
Answer:
35 students
Step-by-step explanation:
So if every 3 boys there is 4 girls you can solve that there is 5 times the amount of girls to get to 20. So to solve for the boys you do the same.
3 x 5 = 15
That means there are 15 boys and 20 girls but we want to know the total so what you do is just add 15+20=35
So 35 total students.
Hope that helps and have a great day!
What's the reciprocal 22/7
Answer:
3 1/7 however, the reciprocal is 7/22, or, 7 1/3.
explanation:
Convert improper fraction to mixed number.
7 x 3 = 21
Add 1 to get 22.
Now, convert and reverse the order.
Therefore,
the answer is [tex]3\frac{1}{7} / 7\frac{1}{3}[/tex]
Everyone in Arianna's family takes a turn making a special dinner. This week, Arianna made a pan of her brother's favorite vegetable lasagna. The lasagna came out shaped like a rectangular prism that is 13 inches long, 9 inches wide, and 1
1
2
inches tall. Arianna cut the lasagna into 12 equal pieces and served the first piece to her brother.
What is the volume of the piece of lasagna Arianna served to her brother?
Write your answer as a whole number, proper fraction, or mixed number.
Answer:
13 times 1 1/2 is 19 1/2 and 19 1/2 times 9 is 175 1/2 and 175 1/2 divided by 12 is 14 5/8 so the answer is 14 5/8
Step-by-step explanation:
Help please!
Area of a triangle using trigonometry!
Answer: 120
Step-by-step explanation: u just multiply the 2 numbers together
What is the equation of this line?
y=1/2x−3
y=−1/2x−3
y=−2x−3
y=2x−3
Answer:
y=1/2x-3
Step-by-step explanation:
starting at the origin, you go down 3 to reach the line/point, hence the -3. Then you go up 1 over the right 2 to get reach the point, hence the 1/2.
It would not be negative 1/2 because we didn't go down 1 to the right.
WHICH DOT PLOT BEST REPRESENT THESE DATA?
the function f(x) = 1/(x+1) is never equal to 0. true or false?
your answer is false
your welcome
Answer:
True
Explanation:
Any real numbers can equal 0 except 1.
7/8 × 5/4 what is the answer please
Answer:
[tex]\frac{35}{32}[/tex]
Step-by-step explanation:
1. (7/8) * (5/4)
2. (7)(5)
(8)(4)
Bonus : 35/32 as a decimal is 1.09375
Awnser provided by Education Point
Which fraction correctly represents one whole?
Answer:
7/7
I hope that helped! :)
Answer:
7/7
Step-by-step explanation:
to have a whole you must have the same numerator and denominator because its a fraction split into portions so if you have a cake thats split into 10 pieces if you got rid of a piece it would no longer be a whole it would be 9/10 of the cake so use that for the future
y = 5x+p point (-2, 1) p=?
Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to walk toward you at the bus stop and then passes you. He walks at
a speed of 4 ft/s. His distance d from you after t seconds is given by d = 120 - 4t). After how many seconds is your neighbor 30 ft from you?
A.-22.5 s and -37.5 s
B. 22.5 s and 37.5 s
C. 30 s
D. 15 s and 45 s
Answer:
ANSWER B
Step-by-step explanation:
d=(120-4t)
30=120-4t
4t=120-30=90
t=90/4=22.5 s
-30==120-4t
4t=120+30=150
t=150/4=37.5 s
Help me find the correct answer
Answer:
Step-by-step explanation:
Pay attention to the coordinates.
Because you are asked to find the perimeter, you need to determine the length of each side.
If the line is horizontal - you look at the x-coordinates. What's the distance between point A to point C?
For the diagonal sides you can use this formula:
d = Square root[( x 2 − x 1 ) ^2 + ( y 2 − y 1 ) ^ 2]
What is the domain of the function f(x)=−12x+15? PLEASE HELP!!!
x≤30x≤30
x≥0x≥0
x≥−2x≥−2
all real numbers
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
[tex]f(x)=-12x+15[/tex]
The domain of a function is all possible x inputs for a function, on the contrary range of a function would be all possible y inputs for a function.
[tex]f(x)=-12x+15[/tex]
Since the function has all defined points, it basically means that the functions possible x inputs are "all real numbers" or the fourth option.
[tex]-\infty \: < x < \infty[/tex]
Hope this helps.
Help plz and thank u
Answer:
Rate of Change is 2
Step-by-step explanation:
The y values are changing by 4
The x values are changing by 2
Rate of change = Change of y/Change of x
4/2=2
tHanks again for the response.
Answer:
(-3,-2)
Step-by-step explanation:
Equations are
y=2x+4y=-x-5Solve both
2x+4=-x-53x=-9x=-3On solving
y=3-5=-2Graph is also attached if you need another way
Answer:
(-3, -2)
Step-by-step explanation:
When the two lines intersect, f(x) = h(x)
2x + 4 = -1x - 5
Rearranging like terms together
3x = -9
x = -3
Substituting back into h(x) for x = -3
y = h(3) = 2(-3) + 4 = -2
So the point is (-3, -2)
Find the amount of tax owed: vacant land valued at $500,000.00; assessed at 18%; taxed at $6.50 per hundred dollars worth of property
Answer:
7
Step-by-step explanation:
What is .64 2/3 in fraction form?
Answer:
32/75 in fraction form 0.426 in decimal
Step-by-step explanation:
0.64 2/3
convert tge decimal into a fraction = 64/100 reduce/simplify to 16/25
64 ÷ 4 = 16
___
100 ÷ 4 = 25
16/25 × 2/3 = 32/75
16 × 2 = 32
___
25 × 3 = 75
The simplified fraction form of .64 2/3 is 66/75. To convert the mixed number .64 2/3 to fraction form, we need to combine the whole number part and the fractional part.
The whole number part is 0.64, and the fractional part is 2/3.
To combine them, we multiply the whole number part by the denominator of the fraction and then add the numerator. Then, we put the result over the denominator.
Step 1: Convert the decimal to a fraction.
0.64 = 64/100
Step 2: Combine the whole number part and the fractional part.
0.64 2/3 = 64/100 + 2/3
Step 3: Find a common denominator (the least common multiple of 100 and 3 is 300).
0.64 2/3 = (64/100) + (200/300)
Step 4: Add the fractions.
0.64 2/3 = (64/100) + (200/300) = 264/300
Step 5: Simplify the fraction, if possible.
264/300 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.
264 ÷ 4 = 66
300 ÷ 4 = 75
So, the simplified fraction form of .64 2/3 is 66/75.
To know more about fraction form:
https://brainly.com/question/24601631
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For an object whose velocity in ft/sec is given by v(t) = −t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs?
1.333
2.438
2.667
−4
Answer:
1.333
Step-by-step explanation:
Distance travelled (or displacement) will be the antiderivative of Velocity.
Antiderivative of -t^2 + 2 =
d(t) = -t^3/3 +2t
Now plug in t=2 and t=0 and subtract them.
(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333
Answer:
1.333
Step-by-step explanation:
We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.
x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)
= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hourâ (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of theâ distribution, give an interval that will contain the speeds of at least eight-ninths of theâ player's serves.
a. 74 mph to 126 mph
b. 61 mph to 139 mph
c. 48 mph to 152 mph
d. 139 mph to 178 mph
Answer:
b. 61 mph to 139 mph
Step-by-step explanation:
Chebyshev's theorem states that
For k> 1
1 - 1/k²
Where:
At least 75% or 3/4 of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question, we are told to find an interval that will contain the speeds of at least eight-ninths of the player's serves.
Mean (μ)= 100mph
Standard deviation (σ) = 13mph
At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Hence:
μ - 3σ
100 - 3(13)
= 100 - 39
= 61 mph
μ + 3σ
= 100 + 3(13)
= 100 + 39
= 139 mph
Therefore, the interval is between 61 mph to 139 mph. Option b is correct
-
Consider f(x) = 7x3 - 15x2 - 19x +3. Find the solutions of each of the following equations!
(a) f(x) = 0
(b) f(x-1)= 0
(c) f(x + 2) = 0
(d) f(2x)= 0
QUICK PLZZZZ. |n-3|=5 solve the equation
Answer:
Step-by-step explanation:
-31 cannot equal 5 so the equation is false.
Answer:
n=8
Step-by-step explanation:
So, |n-3| means that the expression, n-3, is an absolute number (which is the difference from zero; just take off the negative sign if it has one)
Because the left side of the equation, 5, is a positive number, you would know that the equation can be solved by:
n-3=5 add 3 to both sides
n=8
You should also know that the absolute number (shown using | |) is not a negative number. (well, as long as the n is a real number)
Hope that helps!!!
If 7 notepads cost $4.55, what is the unit price of the notepads?
Answer:
[tex]0.65[/tex]
Step-by-step explanation:
Given the following question
7 notepads cost $4.55 what's the unit price?
Unit price is price per unit, we find the price per unit by dividing the total cost of the notepads by the total amount of the notepads which is 7.
[tex]unitp=cost\div quantity[/tex]
[tex]7n=4.55[/tex]
[tex]4.55\div7=0.65[/tex]
[tex]=0.65[/tex]
The unit price of the seven notepads is "$0.65."
Hope this helps.
7th grade math help me please :).
Answer:
a
Step-by-step explanation:
divide each price by the number of juice packs they got, then subtract the smaller number from the larger one. you get 0.15
Complete the solution of the equation. Find the
value of y when x equals 0.
-7x + 3y = 30
Enter the correct answer.
000
DONE
Clear all
+
Hello!
Let's consider what the question asks for
--> value of 'y' when 'x = 0'
-7x + 3y = 30
Let's plug in '0' into x and solve for 'y'
[tex]-7x+3y=30\\\\-7(0)+3y=30\\\\y=10[/tex]
Thus y = 10 when x = 0
Answer: 10
We are given the equation:
[tex]\rm{-7x + 3y = 30}[/tex]To find the value of y when x equals 0, we need to substitute 0 for x in the equation and solve for y:
[tex]\rm{-7(0) + 3y = 30}[/tex]Simplifying the equation:
[tex]\rm{3y = 30}[/tex]Dividing both sides by 3:
[tex]\boxed{\rm{y = 10}}\quad\green{\checkmark}[/tex][tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]
A cabin on a ferris wheel has traveled one fourth of the circumference
of the wheel, a distance of 117.75 feet. What is the radius, in feet, of
the ferris wheel? Use 3.14 for pi
Solving for the circumference and using the formula for the circumference we got the radius as 74.95 feet
Mensuration of Flat ShapesGiven Data
1/4 of the circumference = 117.75 feet.
Let the circumference be x feet
1/4*x = 117.75
x/4 = 117.75
cross multiplying
x = 4*117.75
x = 471 feets
The expression for the circumference is given as
C = 2πr
471 = 2πr
Making r subject of formula we have
r = = 471/2*3.142
r = 471/6.284
r = 74.95 feet
Learn more about Circles here
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Rewrite each equation without absolute value for the given conditions. y = |x−3| + |x+2| − |x−5| if x>5
Using the definition of the absolute value function, it is found that the equation is written as: y = x + 4
What is the definition of the absolute value function?It is the distance of a given point x to the origin(vertex of the function), hence the definition is as follows:
[tex]|x - a| = x - a, x \geq a[/tex]
[tex]|x - a| = -x + a, x < a[/tex]
Hence, considering that all expression are positive for x > 5, we have that:
|x - 3| = x - 3;|x + 2| = x + 2;|x - 5| = x - 5;Then, the expression is:
y = |x−3| + |x+2| − |x−5|
y = x - 3 + x + 2 - x + 5
y = x + 4
More can be learned about the absolute value function at https://brainly.com/question/24734454