A website is selling barbecue grills for $94, but mentions that they originally cost $200. What
is the discount, as a percentage?
Write your answer using a percent sign (%).
A website is selling barbecue grills for $94, but mentions that they originally cost $200 the discount, as a percentage, is 53%.
The discount is the difference between the original price and the discounted price.
Discount = $200 - $94 = $106
To find the percentage discount, we need to calculate what percentage of the original price the discount represents:
Percentage discount = (Discount/Original price) x 100%
Percentage discount = ($106/$200) x 100%
Percentage discount = 53%
Therefore, the discount, as a percentage, is 53%.
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Which statement is true? Pls help fast
Answer:
C. All parallelograms are quadrilaterals.
Step-by-step explanation:
Quadrilateral are 2D shapes that are closed sides, with 4 sides.
If we toss a coin two times, the possible outcomes would be HH, HT, TH, TT. Calculate the probability of each outcome and enter it in decimal form. Assume that the coin is a biased coin with P(H)=0.7.
P(HH) =
P(HT) =
P(TH) =
P(TT) =
The probabilities for each outcome are: P(HH) = 0.49, P(HT) = 0.21 ,P(TH) = 0.21 ,P(TT) = 0.09
The probability of an event is a number that indicates how likely the event is to occur.
It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.
The more likely it is that the event will occur, the higher its probability.
The probability of an impossible event is 0; that of an event that is certain to occur is 1.
To calculate the probability of each outcome when tossing a biased coin two times with P(H)=0.7, we can use the
following steps:
1. P(HH) = P(H) × P(H) = 0.7 × 0.7 = 0.49
2. P(HT) = P(H) × P(T), where
P(T) = 1 - P(H) = 1 - 0.7 = 0.3.
So, P(HT) = 0.7 × 0.3 = 0.21
3. P(TH) = P(T) × P(H) = 0.3 × 0.7 = 0.21
4. P(TT) = P(T) × P(T) = 0.3 × 0.3 = 0.09
So the probabilities for each outcome are:
P(HH) = 0.49
P(HT) = 0.21
P(TH) = 0.21
P(TT) = 0.09
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A renter purchased a kitchen table from a discount furniture store for $525, after a $125 down payment, and makes 12 monthly payments of $48.75. What is the total cost of the
kitchen table?
A. $573.75
B. $585.00
C. $588.00
D. $710.00
Answer:
D. $710.00
Step-by-step explanation:
total cost = down payment + total amount of monthly payments
total cost = $125 + 12 × $48.75
total cost = $125 + $585
total cost = $710
Answer: D. $710.00
Answer: The answer is D. $710.00
Step-by-step explanation: I got it right on the test
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip from the movie, Die Hard 3. Characters, John McClane and Zeus Carver, are challenged with getting exactly 4 gallons of water on a scale using only a 5-gallon and 3-gallon container. The clock is ticking, and they only have seconds to spare. Sylvia uses this video clip as?
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.
A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.
Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.
The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."
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SOLVING EQUATIONS_VARIABLES ON BOTH SIDES #1Directions: Solve for x in each equation below. Use ilgverse operations to get the variable all byitself on one side of the equation, and then get the integers (numbers) alone on the other side ofthe equation1) 3x = 2x + 502) 6x = 2x + 443) 8x = 2x + 364) 4x = x + 185) 7x + 10 = 3x + 1206) 20 + 2x = x + 56
Answer
Check Explanation
Explanation
1) 3x = 2x + 50
3x - 2x = 50
x = 50
2) 6x = 2x + 44
6x - 2x = 44
4x = 44
Divide both sides by 4
(4x/4) = (44/4)
x = 11
3) 8x = 2x + 36
8x - 2x = 36
6x = 36
Divide both sides by 6
(6x/6) = (36/6)
x = 6
4) 4x = x + 18
4x - x = 18
3x = 18
Divide both sides by 3
(3x/3) = (18/3)
x = 6
5) 7x + 10 = 3x + 120
7x - 3x = 120 - 10
4x = 110
Divide both sides by 4
(4x/4) = (110/4)
x = 27.5
6) 20 + 2x = x + 56
2x - x = 56 - 20
x = 36
Hope this Helps!!!
Find the distance between the points (6, 4) and (10, 7).
Answer:
5 units
Step-by-step explanation:
Use the distance formula \(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2\) where \(d\) is the distance between points \((x_1,y_1)\) and \((x_2,y_2)\).
Given that \((x_1,y_1)\rightarrow(6,4)\) and \((x_2,y_2)\rightarrow(10,7)\), then:
\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(7-4)^2+(10-6)^2}\\\\d=\sqrt{3^2+4^2}\\\\d=\sqrt{9+16}\\\\d=\sqrt{25}\\\\d=5\)
This means that the distance between (6,4) and (10,7) is 5 units
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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La razón delas edades de Paco y Luis es 5/3 y su producto es 240.Calcule la edad del mayor, dentro de 5 años.
creo que paco es el mayor. lo siento si me equivoco! no soy muy buena en las proporciones
find the total surface area of this triangular prism
The total surface area of this triangular prism = 976
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape.
A triangle would be divided in half, but since there are two, the ratio would remain the same.
14 x 24 = 336
10 x 25 = 250[ because there are two of them, multiply by 2.]
10 x 14 = 140
The total surface area of this triangular prism = 336 + 250 + 140
= 976
Therefore, the total surface area of this triangular prism = 976
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What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a
vertex of the triangular bases?
A
a parallelogram that is not a rectangle
O a rectangle
O a triangle that must have the same dimensions as the bases
O a triangle that may not have the same dimensions as the bases
Answer:
a triangle that may not have the same dimensions as the bases
Step-by-step explanation:
The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.
Let V be the set of functions f : R 5 R. For any two functions f , g in V , define the sum f + g to be the function given by (f + g)(x) = f(x) + g(x) for all real numbers x. For any real number c and any function f in V , define scalar multiplication c f by (cf)x) = cf(x) for all real numbers x. Answer the following questions as partial verification that V is a vector space. (Addition is commutative:) Let f and g be any vectors in V . Then f(x) + g(x) = for all real numbers x since adding the real numbers f(x) and g(x) is a commutative operation. zero vector exists:) The zero vector in V is the function f given by f(x) = for all x_ (Additive inverses exist:) The additive inverse of the function f in V is a function g that satisfies f(x) + g(x) for all real numbers X. The additive inverse of f is the function g(x) for all x. (Scalar multiplication distributes over vector addition:) If c is any real number and and g are two vectors in V , then c(f + g)(x) = c(f(x) + g(x)) =
V is a set of functions that map from \(R^5\) to R. It is a vector space because it has a commutative addition operation, a zero vector, additive inverses, scalar multiplication that distributes over vector addition, associativity of vector addition, a multiplicative identity for scalars, and a multiplicative inverse for non-zero scalars.
cf(x) + cg(x) for all real numbers x.
Associativity of vector addition: Let f, g, and h be any vectors in V. Then (f + g) + h = f + (g + h) for all real numbers x.
Existence of a multiplicative identity for scalars: The multiplicative identity for scalars in V is 1, such that for any vector f in V, 1f(x) = f(x) for all real numbers x.
Existence of a multiplicative inverse for nonzero scalars: For any nonzero real number c, there exists a multiplicative inverse 1/c such that c(1/c)f(x) = f(x) for all real numbers x and for any vector f in V.
All these properties are the standard conditions for a vector space, therefore V is a vector space.
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Malcolm and Peiling each have some $50, $10 and $2-notes. The total number of notes they have is the same. The number of $2-notes Peiling has is of the 1 2 4 number of $2-notes Malcolm has. The number of $10-notes Peiling has is the number of $10-notes Malcolm has. Peiling has 8 more $50-notes than Malcolm. The total number of $2 and $10-notes they have is 42. (a) Who has more money? (b) of How many $2-notes do they have altogether?
In the above word problem,
a) Peiling has more money than Malcolm.b) They (both Peiling and Malcom) have a total of M2 + P2 = 12 + 3 = 15 $2-notes altogether.What is the explanation for the above solution?
Let's denote the number of $50 notes that Malcolm and Peiling have as M50 and P50 respectively. Similarly, we'll denote the number of $10 notes as M10 and P10 and the number of $2 notes as M2 and P2.
From the problem statement we have the following information:
1. The total number of notes they have is the same: M50 + M10 + M2 = P50 + P10 + P2
2. The number of $2-notes Peiling has is 1/4 of the number of $2-notes Malcolm has: P2 = (1/4)M2
3. The number of $10-notes Peiling has is twice the number of $10-notes Malcolm has: P10 = 2M10
4. Peiling has 8 more $50-notes than Malcolm: P50 = M50 + 8
5. The total number of $2 and $10-notes they have is 42: M10 + M2 + P10 + P2 = 42
Substituting equations (2), (3) and (4) into equation (1) we get:
M50 + M10 + M2 = (M50+8) + 2M10 +(1/4)M2
Solving for M50 we get:
M50 = 8 + 2M10 - (3/4)M2
Substituting equations (2), (3), and (4) into equation (5) we get:
M10 + M2 + 2M10 + (1/4)M2 = 42
Solving for M10 we get:
M10 = 14 - (1/12)M2
Substituting this value of M10 into the equation for M50 we get:
M50 = 8 + 28 - M2/6 - (3/4)M2
Solving for M50 we get:
M50 = 36 - (11/6)M2
Since the number of notes must be a positive integer, the smallest possible value for M50 is when M2=6. This gives us a value of M50=35.
Substituting these values back into the equations for P50, P10 and P2 we find that Peiling has P50=43 $50 notes, P10=28 $10 notes and P2=1.5 $2 notes. However, since the number of notes must be a positive integer, this solution is not valid.
The next smallest possible value for M50 is when M2=12. This gives us a value of M50=34. Substituting these values back into the equations for P50, P10 and P2 we find that Peiling has P50=42 $50 notes, P10=28 $10 notes and P2=3 $2 notes.
Now we can calculate the total amount of money each person has:
Malcolm: 34 * 50 + 14 * 10 + 12 * 2 = $1,864
Peiling: 42 * 50 + 28 * 10 + 3 * 2 = $2,386
So to answer part (a) of the question: Peiling has more money than Malcolm.
To answer part (b) of the question: They have a total of M2 + P2 = 12 + 3 = 15 $2-notes altogether.
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Please answer I need help thank you
Answer:
what is the question
Step-by-step explanation:
Find the determinant of the following matrix. A =
-2 6
3 5
Answer:
\(|A| = - 28\)
Step-by-step explanation:
Given
\(A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]\)
Required
Determine the determinant
For a two by two matrix, A such that:
\(A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\)
The determinant |A| is:
\(|A| = a * d - b * c\)
So, in
\(A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]\)
The determinant is:
\(|A| = -2 * 5 - 6 * 3\)
\(|A| = -10 - 18\)
\(|A| = - 28\)
3х — 7y = 21
6x = 14y + 42
Solve each system of equations using elimination (⚠️ I will give you brainliest if you answer correctly!‼️⚠️)
Given the revenue function R(x)= 100x −2x^2 (space) 1 ≤ x ≤ 30 and the cost function C(x)= 500 + 9x for a company, find the profit if the company produces 25 units. Do not include a dollar sign in your answer. For example, if your answer is $315.12, enter 315.12.
well, once you take in all the Revenue from sales, and subtract all the costs that went in for the product, what's leftover is the Profit.
so then, profit P(x), is simply the revenue minus costs, namely P(x) = R(x) - C(x)
\(R(x)=100x-2x^2\hspace{5em}C(x)=500+9x \\\\\\ P(x)=(100x-2x^2)~~ - ~~(500+9x)\implies P(x)=91x-2x^2-500 \\\\\\ \stackrel{\textit{at a production of 25 units, x =25}}{P(25) = 91(25)-2(25)^2-500}\implies P(25)=\stackrel{2275-1250-500}{525}\)
Robert's book bag is weighing him down. His bag alone weighs 4 pounds. His library book
weighs 2 pounds. The math book is 4 times the weight of the library book, and his science
book is 2 times the weight of the math book. How much does his book bag weigh with all
these books? What is the heaviest book in his book bag?
Answer:
1) 30 pounds is the weight of the bag all together
2) science book is the heaviest book
Step-by-step explanation:
bag=4 pounds
library book=2 pounds
maths book=2×4=8 pounds
science book=8×2=16 pounds
4+2+8+16=30 pounds all together
heaviest book= science book (16 pounds)
Kim had 2 1/3 pounds of candy. Eric eats 2/5 of Kims candy. How much candy did Eric eat?
The quantity of candy that Eric ate would be = 14/15
How to calculate the quantity of candy eaten by Eric?The quantity of Candy Kim had = 2⅓ pounds.
The quantity of Kims candy that Eric ate = 2/5
That is 2/5 of 2⅓.
The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15
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I need help does anyone know?
Answer:
He/she took 48minutes to wash
Answer:
• In terms of hours:
\(\dashrightarrow \: { \rm{11 - 10 + 1 = 0 \: hour}}\)
• In terms of minutes:
\(\dashrightarrow \: { \tt{(60 - 44) + 32 = 48 \: mins}}\)
It is 48 minutes
2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.
The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.
However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.
This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.
As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.
It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.
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Please Help 2
If a runner traveled a distance of d(h)=/16h4 in time t(h) = 3h4 - 3h3 -5h2 what is the runner's speed?
The runner's speed If a runner traveled a distance of d(h)=/16h4 in time t(h) = 3h^4 - 3h^3 -5h^2 is 4 /3h^2 - 3h -5h.
How can the speed be calculated?The concept that will be used to calculate this is the concept of speed which is the ratio of the distance per time which can be expressed as
speed = distance/time
Then we were given distance as d(h)=/16h^4
time as t(h) = 3h^4 - 3h^3 -5h^2
Speed = \(\sqrt{16h^4} /3h^4 - 3h^3 -5h^2\)
Then we will have 4h^2 /3h^4 - 3h^3 -5h^2
then take h^2 from both the numerator and denominator and then cancel them , then we will have
= 4 /3h^2 - 3h -5h.
Therefore, the first option is correct.
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Find the mean, median and mode of the data set. If there is no mode, enter the words "no mode". 140, 128, 124, 137, 143, 126, 130, 136
Answer:
mode = no mode. median = 133, mean = 133
Step-by-step explanation:
mode = most common value. all of the values appear once. so there is no mode.
median = arranging the data in numerical order, then finding middle value.
there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).
median is halfway between 130 and 136. that is 133.
mean = add up the values/ how many there are
adding them up, you get 1064. there are 8 values.
mean = 1064/8 = 133
Making a certain shade of paint requires mixing 3 parts silver with 4 parts green. Meg uses this data to start this table of equivalent ratios. Which ratios are equivalent to 3 parts silver paint to 4 parts green paint? Check all that apply. 04:5 O 6:8 Silver Paint (Parts) Green Paint (Parts) 5:6 O 9:12 3 4 6.4 O
The ratio of paint you require for the mixing is 3 parts silver and 4 parts green, 3:4
You can see wich of the given ratios follow it using cross multiplication. Using the given parts of silver of each ratio you'll calculate the corresponding parts of green to see if they are equal to the ratios or not.
First ratio:
6:8
3 parts of silver ____ 4 parts of green
6 parts of silver_____x
\(x=\text{ }\frac{6\cdot4}{3}=\text{ 8}\)This ratio is equivalent to 3:4
Second ratio:
4:5
3 parts of silver ____ 4 parts of green
4 parts of silver_____x
\(x=\frac{4\cdot4}{3}=\text{ 5.33}\)This ratio is not equivalent to 3:4
Third ratio:
5:6
3 parts of silver ____ 4 parts of green
5 parts of silver_____x
\(x=\frac{5\cdot4}{3}=\text{ 6.67}\)This ratio is not equivalent to 3:4
Fourth ratio:
9:12
3 parts of silver ____ 4 parts of green
9 parts of silver_____x
\(x=\frac{9\cdot4}{3}=\text{ 12}\)This ratio is equivalent to 3:4
So...
The ration 6:8 and 9:12 are equivalent to 3:4
As you probably noticed, both ratios are multiples of 3 and 4 respectively.
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What number makes the following equation true? -3/4 × -3/8 × □= -3/4
A. -5/4
B. -8/3
C. 8/3
D. 5/4
Let the number be x
\(\\ \sf\longmapsto \dfrac{-3}{4}\times\dfrac{-3}{8}x=\dfrac{-3}{4}\)
\(\\ \sf\longmapsto \dfrac{-3}{8}x=1\)
\(\\ \sf\longmapsto x=\dfrac{-8}{3}\)
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
What is the pattern for the sequence 1.3, 8.3, 27.3, 64.3,…?
The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3
Calculating the pattern for the sequenceThe pattern in the question is given as
1.3, 8.3, 27.3, 64.3,…
In the above expressions and pattern, we can see that
The decimal part remain unchangedThe digit before the decimal is the cube of its positionFrom the above, we have the following
Current term = (n)³.3
Note that the decimal does not represent product
And also the pattern is a geometric sequence
Hence, the pattern for the sequence is f(n) = (n)³.3
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Aircraft A has 105 more seats than aircraft B. If their total number of seats is 701, find the number of seats for each aircraft.
Aircraft A has how many seats?
Answer:
Aircraft A: 403 seats
Aircraft B: 298 seats
Step-by-step explanation:
Let's x represent the seats in Aircraft B
We have the equations:
Aircraft A: (x + 105)
Aircraft B: x
We Know
Their total number of seats is 701; find the number of seats for each aircraft.
We Take
x + (x + 105) = 701
2x + 105 = 701
2x = 596
x = 298 seats
So, there are 298 seats in Aircraft B
Aircraft A has how many seats?
We Take
701 - 298 = 403 seats
So, there are 403 seats in Aircraft A
Final Answers:
Aircraft A: 403 seats
Aircraft B: 298 seats
Last night Danielle had a birthday party, of the birthday cake was left over. She wanted to share the left over
birthday cake with 4 friends the next day. How much of the birthday cake would each get if they shared it equally?
me of the birthday cake.
You may use the scratchpad to show your work
Answer: the correct answer is 1/12 ( as a fraction )