Answer:
so you have $12.95. then you multiply it by 8% which gives you $13.986. Then you take 10% off of it, which gives you $12.5874.
Answer:
The new price would be 108% of last year’s price. Multiply the new price by 4 and then multiply that amount by 90% to find the sale price.
Step-by-step explanation:
sample response
a group of friends every time they play a game of marbles, they lose 5 marbles as it’s a big playground and they can’t be bothered to look for marbles that roll away somewhere. every time a game of marbles ends (each game takes 10-15 minutes), they collect all their marbles in a big box, hide it behind a tree, and go for a quick run. every time these kids hide all their marbles in a box behind the tree, a very intelligent squirrel sneaks up to the box, and if there are more than 12 marbles in it, the squirrel steals 3 marbles and runs off. if this group of kids started with 120 marbles in total, how many games can they play in total before they have less than 10 marbles left (given that they lose some marbles each time they play, and a squirrel steals some marbles each time they go for a run).
Answer:
14 gamesStep-by-step explanation:
Initial number of marbles = 120Lost at every game = 5Stolen by a squirrel = 3Left = less than 10Let the number of games be x
then lost marbles = 5xstolen marbles = 3xInequality:
120 - 5x - 3x < 10120 - 8x < 10110 < 8xx > 110/8x > 13 rounded downSince there should be more than 0 left, another inequality for it:
120 - 8x > 0120 > 8x x < 15So 13 < x < 15, which leaves us with 14
Below are two parallel lines with a third line intersecting them
Answer:
hey, there is no attached photo. so I don't know how to help
Salvatore purchased several magazines for $2 each and books for $3 each. If he spent $160 on a total of 60 books and magazines altogether, what would be the number magazines that Salvatore purchased?
Answer:
30
Step-by-step explanation:
If the magazines and books together add up to a total of 60 books, then he bought 30 magazines and 30 books.
A poster is 6 feet tall and 3 feet wide. What is it's perimeter?
Answer:
18 ft
Step-by-step explanation:
6 ft + 3 ft + 6 ft + 3 ft = 18 ft
Answer:
18 ft
Step-by-step explanation:
if its 6 feet tall and 3 feet wide you add 6+6+3+3
Use the properties of logarithms to write the expression as a single logarithm, if possible.
By logarithm properties, the logarithmic equation 2 · ㏒ₐ (5 · x³) - (1 / 2) · ㏒ₐ (2 · x + 3) is equivalent to ㏒ₐ [(25 · x⁶) / √(2 · x + 3)]. (Correct choice: A)
How to simplify a logarithmic function by propertiesIn this problems we have a logarithmic equation that must be simplified by means of logarithm properties, all of them described below:
Logarithm of a product of two numbers
㏒ₙ (a · b) = ㏒ₙ a + ㏒ₙ b
Logarithm of a division of two numbers
㏒ₙ (a / b) = ㏒ₙ a - ㏒ₙ b
Logarithm of a power of a number
㏒ₙ aˣ = x · ㏒ₙ a
Now we proceed to reduce the logarithmic equation into a single expression:
2 · ㏒ₐ (5 · x³) - (1 / 2) · ㏒ₐ (2 · x + 3)
㏒ₐ (5 · x³)² - ㏒ₐ √(2 · x + 3)
㏒ₐ (25 · x⁶) - ㏒ₐ √(2 · x + 3)
㏒ₐ [(25 · x⁶) / √(2 · x + 3)]
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pls help im trying to pass ill give the most points
The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.
What are Operation?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
According to question:This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.
1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)
= 7/3 + 85/16 + 2/7
= 665/48.
2. \(9\frac{5}{9} - 3\frac{2}{5}\)
= 86/9 - 17/5
= 259/45.
3. \(16\frac{3}{7} *13\frac{1}{4}\)
= 115/7 * 53/4
= 6095 / 28
4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)
= 67/4 ÷ 5/2
= 67/10
Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.
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which of the following are ordered pairs for the given function f(x)=1+x.? (1,2) (3,3) (0,2) (1,0) (0,1)
Answer:
no,
(
1
,
0
)
is not an ordered pair of the function
f
(
x
)
=
1
+
x
.
Step-by-step explanation:
Ordered pairs are usually written in the form
(
x
,
y
)
by tradition.
so usingthe function,
f
(
x
)
=
1
+
x
we can rewrite it as,
y
=
1
+
x
any pair of x and y that satisfy this equation are solutions to the equation.
so subbing in
(
1
,
0
)
,
0
=
1
+
(
1
)
0
=
2
which is not true so the point does not make the function true.
It might be easier to see graphically,
graph{1+x [-10, 10, -5, 5]}
any combination of x and y on this line make the equation true and as such are an ordered pair of the function.
Answer:
Step-by-step explanation:
What is the coefficient of x in 4+3y²+x?
the coefficient of x is 1
Determine whether the two expressions are equivalent. If so, tell what property is applied.
7 × (6 × t) and (7×6)×t
a. Associative
b. Commutative
c. Identity
d. Inverse
e. Distributive
f. Not a property
Answer:
I think its associative property but I am not sure.
Step-by-step explanation:
Which is bigger, 0.5 or 17/34?
Answer:
the bigger is 0.5
Step-by-step explanation:
hope it's helpful thanks
brainlest po
Answer:
Its equal
Step-by-step explanation:
17/34 is 0.5
so 0.5=0.5
After t years, 20 grams of cesium-137 decays to a mass y (in grams) given by
t/30
20(1) 430
"
y = 20
t≥ 0.
How much of the initial mass remains after 110 years? (Round your answer to three decimal places.)
g
Therefore , the solution of the given problem of equation comes out to be rounded to three decimal places, is 17.483 grams.
What is equation?Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Think about the information that y + 7 provides. When accompanied by generate y + 7, increasing results in b + 7 in this case rather than another method that could split 12 into two separate components.
Here,
We must enter t = 110 into the equation for y and solve for y in order to determine how much of the original mass is still present after 110 years:
=> y = 20(1 - 2^(-t/30))
=> y = 20(1 - 2^(-110/30))
=> y ≈ 2.517
As a result, there are roughly 2.517 grams of cesium-137 left after 110 years. We can deduct this amount from the original mass of 20 grams to determine how much of the initial mass is still present:
=> 20 - 2.517 ≈ 17.483
Thus, roughly 17.483 grams of the original 20 grams of cesium-137 are still present after 110 years.
The number, rounded to three decimal places, is 17.483 grams.
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PLEASE HELP
Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?
Car Loan
Car Loan
Car Loan
Number of Car Payments Paid X
Number of Car Payments Paid X
Number of Car Payments Paid X
o
Ty
Car Loan
Amount Owed
Hei Next
Save and Exit
Submit
Answer: b
Step-by-step explanation:i just took it right now and its b hope it helps aka the second one
8x - 8 = 7x simplified down
Step-by-step explanation:
Hope my answer helps mark me brainliestAnswer:
x = 8
Step-by-step explanation:
Step 1: Subtract 7x from both sides.
8x−8−7x=7x−7x
x−8=0
Step 2: Add 8 to both sides.
x−8+8=0+8
x=8
HGD
-ghost
In 2016, a school started its own aquarium with x fish. In 2019, there were x3 fish in the same aquarium. There were 512 fish in 2019. How many fish were there in 2016? Show your work.
Answer:
Step-by-step explanation:
We are given that in 2016, the aquarium had x fish, and in 2019, there were x3 fish. We also know that in 2019, there were 512 fish. So we can set up the equation:
x3 = 512
To solve for x, we need to take the cube root of both sides of the equation:
x = ∛512
Using a calculator or simplifying by prime factorization, we can find that:
512 = 2^9
So,
∛512 = ∛2^9 = 2^3 = 8
Therefore, there were 8 fish in the aquarium in 2016.
Answer:
Let's use algebra to solve the problem. We can start by using the information given to set up an equation relating the number of fish in 2016 (x) to the number of fish in 2019 (x3):
x3 = 512
To solve for x, we can isolate x by dividing both sides of the equation by 3:
x = 512/3
x = 170.67 (rounded to two decimal places)
Therefore, there were approximately 170.67 fish in the aquarium in 2016. However, since we cannot have a fraction of a fish, we can round up to the nearest whole number to get the final answer:
x ≈ 171
So there were 171 fish in the aquarium in 2016.
Step-by-step explanation:
Good afternoon!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
9514 1404 393
Answer:
5) 112°
6) 40°
Step-by-step explanation:
5) The angle E or ? is half the sum of the intercepted arcs:
? = (130° +94°)/2 = 112°
__
6) The angle D is half the difference of the intercepted arcs:
? = (135° -55°)/2 = 40°
Find the length of AC
A. 377.19
B. 378.63
C. 2.89
D. 33.13
Answer:
AC = 377.19
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 5 = 33/AC
AC tan 5 = 33
AC = 33/ tan 5
AC = 377.19
PLEASE HELPP
Which is an irrational number?
A
317, because it cannot be rewritten as an integer.
B
−6, because it is less than 0.
C
13−−√, because it cannot be expressed as either a terminating or a repeating decimal.
D
0.2971¯¯¯¯, because it is a repeating decimal.
The floor of a dollhouse is shaped like a rectangle with a length of 34 foot and a width of 512 foot. Use this model to determine the floor's area.
What is the floor's area?
Enter your answer as a fraction in simplest form
Answer:
17408 feet
Step-by-step explanation:
34 * 512 = 17408
Fraction?
Find the area of the figure. (Sides meet at right angles.)
Find the inverse function in slope intercept form
f(x) = 4/3x + 4
Answer:
-3x/4 + 3
Step-by-step explanation:
slope of the given function is 4/3
so slope of the inverse function is \(-\frac{1}{\frac{4}{3}}}=-\frac{3}{4}\)
For the given function x = 0, y = 4
For the inverse function, y = 0, x = 4
Then the inverse function is
g(x) = (-3/4)*(x - 4) = -3x/4 + 3
(a) At Hoffman's Bike Rentals, it costs $17 to rent a bike for 3 hours.
How many hours of bike use does a customer get per dollar?
hours per dollar
The customer gets 5.66 hours of bike per dollar
How to calculate the amount of hours gotten per dollar?At Hoffman's bike, it cost $17 to rent a bike for 3 hours
The number of hours gotten from the bike per dollar can be calculated as follows
17= 3
1= x
Cross multiply both sides
3x= 17
x= 17/3
x= 5.66
Hence it will cost the customer 5.66 hours to rent the bike for one dollar
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What is the equation of line H? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms. -8-7 -6 -5 -4 -3 -2 Y Line H 40- 35 30- 25 20 15 10 54 0 =5 10 -15 -20 -25- -30 -35- -40- 1 2 3 4 -S 5 6 7 -∞o 8
The equation of line H in fully simplified slope-intercept form is y = 15x + 10.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (40 - 10)/(2 - 0)
Slope (m) = 30/2
Slope (m) = 15.
At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 10 = 15(x - 0)
y = 15x + 10
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
please i need it thanks
I think it is <YTZ, because they are corresponding angles.
Write 135 as a product of its prime factors. Write your answer in index form need answer quickly URGENT
135 as a product of its prime factors is written as 3 × 3 x 3 x 5
What are prime factors?The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.
In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.
From the information given, we have the value as;
135
The prime factors are 3 × 3 x 3 x 5
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The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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can someone please help me ?? i’ll give brainliest
Answer:
ABE bc its the same degree angle
Step-by-step explanation:
Answer:
C) angle BEF
Step-by-step explanation:
Vertical angles are angles opposite each other where two lines cross. BEF is opposite of DEH
f there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem.
Answer:
604800
Step-by-step explanation:
Answer The equation 2x+4=8
Answer:
x=2
Step-by-step explanation:
2x+4=8
2x+4-4=8-4
2x=4
2x/2=4/2
x=2
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Solve the following system of equations with the substitution method:
y=3/5x-15
y=-3/4x+12
Answer:
x = 20, y = -3
Step-by-step explanation:
Set both equations equal to each other
\(\displaystyle y=\frac{3}{5}x-15\\\\y=-\frac{3}{4}x+12\\\\\\\\\frac{3}{5}x-15=-\frac{3}{4}x+12\\\\\frac{12}{20}x-15=-\frac{15}{20}x+12\\\\\frac{27}{20}x-15=12\\\\\frac{27}{20}x=27\\\\x=20\\\\y=\frac{3}{5}x-15\\\\y=\frac{3}{5}(20)-15\\\\y=\frac{60}{5}-15\\\\y=12-15\\\\y=-3\)