Final answer:
Sara paid 55% of the original price of the dress when she bought it for $30. By dividing the sale price by 0.55, we calculate that the original price was approximately $54.55.
Explanation:
To answer the question of what the original cost of Sara's dress was before she saved 45% on the sale, we need to set up a simple percentage calculation. Since Sara saved 45%, this means she paid 55% of the original price (100% - 45% = 55%). The sale price of $30 is what represents this 55%.
To find the original price, we can write the equation:
30 = 0.55 × (original price).
Now we divide the sale price by 0.55 to find the original price:
(original price) = $30 / 0.55 = approximately $54.55.
So the original cost of the dress was approximately $54.55 before the sale.
The original price of the dress is approximately '54.55'
Sara bought a dress on sale for $30 and she saved 45% on the dress
Thus the price she paid for the dress is 100%−45%=55%
Now 55% of the original price of the dress is the amount she paid for the dress
Thus let 'P' be the original price of the dress
We can say that,
55% of P = 30
[tex]55*\frac{P}{100}=30\\ 55*P=30*100\\55*P=3000\\P=\frac{3000}{55}\\ P=54.55[/tex]
Thus '54.55' is the required answer
find the area of a triangle with a base of 8 cm and a height of 10 cm
Answer:
A = 40 cm²Step-by-step explanation:
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{b\cdot h}{2}[/tex]
b - base
h - height
We have b = 8cm, h = 10cm.
Substitute:
[tex]A=\dfrac{(8)(10)}{2}=\dfrac{80}{2}=40\ (cm^2)[/tex]
What integer is represented by ten feet
below sea level?
In school there are 500 students. 320 of the students are females. What is the ratio of female to male students? What is the ratio of the male students to the total number of students?
Answer:
9:25
Step-by-step explanation:
500 - 320 = 180
500:180
50:18
25:9
Answer:
female to male = 8:7
male to total = 14:25
Step-by-step explanation:
since no of boys= 500-320= 280
no of boys = 280
so
male : female = 8:7
male : total = 14:25
Find the absolute value l-7 -9il
(-3.2) to the power of 0
Answer:
1
Step-by-step explanation:
Rocky simplified an expression in three steps, as shown:
x to the power of negative 5 multiplied by y to the power of 2, over y multiplied by x to the power of 3 multiplied by x to the power of 3 multiplied by y to the power of negative 5, the whole to the power of 2 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of 2 multiplied by x to the power of 6 multiplied by x to the power of 6 multiplied by y to the power of negative 10 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of negative 8 multiplied by x to the power of 12.
Which is the first incorrect step and why?
Step 1, all the exponents are increased by 2
Step 1, all the exponents are multiplied by 2
Step 2, the exponents in the denominator are added during multiplication
Step 3, the exponents of the same base are added during division
Answer:
Step three is wrong because when you divide use the quotient rule which is in division the exponents are subtracted and in this problem the exponents are added
Answer:
Step 3.
Step-by-step explanation:
The given expression is
[tex](\frac{x^{-5}y^2}{yx^3\cdot x^3y^{-5}})^2[/tex]
Step 1: Using distributive property of exponent we get
[tex]\frac{(x^{-5})^2(y^2)^2}{(y)^2(x^3)^2\cdot (x^3y^{-5})^2}[/tex] [tex][\because (ab)^x=a^xb^x][/tex]
[tex]\frac{x^{-10}y^4}{y^2x^6\cdot x^6y^{-10}}[/tex]
Ste 2: Using product property of exponent, we get
[tex]\frac{x^{-10}y^4}{y^{2-10}x^{6+6}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]\frac{x^{-10}y^4}{y^{-8}x^{12}}[/tex]
Step 3: Using quotient property of exponent, we get
[tex]x^{(-10-12)}y^{4-(-8)}[/tex] [tex][\because \frac{a^m}{a^n}=a^{m-n}][/tex]
[tex]x^{(-22)}y^{12}[/tex]
Therefore, the first incorrect step is 3.
If the perimeter of International Space Station Base, which is rectangular in shape, is 720 cm and its length is 120cm, find the area of the International Space Station Base.
Answer:
Area = 28800 cm².
Step-by-step explanation:
Given : If the perimeter of International Space Station Base, which is rectangular in shape, is 720 cm and its length is 120cm,
To find : find the area of the International Space Station Base.
Solution : We have given
Perimeter = 720 cm .
Length = 120 cm .
Perimeter = 2 ( length + width ) .
Plugging the values
720 = 2 ( 120 + width )
On dividing both sides by 2
360 = 120 + width .
On subtracting both sides by 120.
240 cm = width.
Area = length * width .
Area = 120 * 240 .
Area = 28800 cm².
Therefore, Area = 28800 cm².
Factor 2X4 - 20x2 - 78.
Answer:
-110 = -2^1×5^1×11^1
Step-by-step explanation:
Factor the following integer:
-110
Hint: | Is 110 divisible by 2?
The last digit of 110 is 0, which means it is even. Therefore 110 is divisible by 2:
110 = 2 55:
-110 = -2×55
Hint: | Now try to factor 55. Is 55 divisible by 2?
55 is not divisible by 2 since 55 is odd and 2 is even:
-110 = -2×55 (55 is not divisible by 2)
Hint: | Is 55 divisible by 3?
The sum of the digits of 55 is 5 + 5 = 10, which is not divisible by 3. This means 55 is not divisible by 3:
-110 = -2×55 (55 is not divisible by 2 or 3)
Hint: | Is 55 divisible by 5?
The last digit of 55 is 5, which means 55 is divisible by 5:
55 = 5 11:
-110 = -2×5×11 (11 is not divisible by 2 or 3 since 55 is not)
Hint: | Now try to factor 11. Is 11 divisible by 5?
The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:
-110 = -2×5×11 (11 is not divisible by 2, 3 or 5)
Hint: | Is 11 divisible by 7?
Divide 7 into 11:
| | 1 | (quotient)
7 | 1 | 1 |
- | | 7 |
| | 4 | (remainder)
11 is not divisible by 7:
-110 = -2×5×11 (11 is not divisible by 2, 3, 5 or 7)
Hint: | Is 11 prime?
No primes less than 11 divide into it. Therefore 11 is prime:
-110 = -2×5×11
Hint: | Express -110 as a product of prime powers.
There is 1 copy of 2, 1 copy of 5 and 1 copy of 11 in the product:
Answer: -110 = -2^1×5^1×11^1
18. Convert 9.268 to a fraction, the 6 and 8 are repeating
we'll start off by making the recurring decimal value to a variable, hmmm say "x", thus x = 9.268686868......
we'll next multiply that value by a power of 10 so that the recurring decimal part moves over to the left of the decimal point, the recurring decimals in this case are "68", but we need to bring the 2 in front along as well, so to move all those three fellows, we'll need 1000.
we'll next multiply the same value by a power of 10 that brings two of the recurring decimals over, so 1000 gives us one "68" over, we'll need "6868" over to the left, so we'll use 100000, let's proceed.
[tex]\bf x = 9.2\overline{68}\qquad \qquad \begin{array}{llll} 1000\cdot x&=&9268.\overline{68}\\\\ 100000\cdot x&=&926868.\overline{68} \end{array}~\hfill \begin{array}{rllll} \stackrel{100000x}{926868.\overline{68}}\\\\ -\stackrel{1000x}{9268.\overline{68}}\\ \cline{1-1}\\ 917600.00 \end{array} \\\\\\ 100000x-1000x = 917600\implies 99000x=917600 \\\\\\ x = \cfrac{917600}{99000}\implies x = \cfrac{4588}{495}[/tex]
Simplify these expression a.-8p + (-9p)+(-2p) b. -3jk+5jk+(-6jk)
Step-by-step explanation:
Combine like terms
a. -8p + (-9p) + (-2p) = -8p -9p -2p = (-8 - 9 - 2)p = -19p
b. -3jk + 5jk + (-6jk) = -3jk + 5jk - 6jk = (-3 + 5 - 6)jk = -4jk
Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.
Answer:
a. –8p + (–9p) + (–2p)
Combine the coefficients of the like monomials.
[(–8) + (–9) + (–2) = –19]
Answer: –19p
b. –3jk + 5jk + (–6jk)
Combine the coefficients the like of monomials.
[(–3) + 5 + (–6) = –4]
Answer: –4jk
Step-by-step explanation:
straight from Penn
Which type of fruit has a cost $1.20 per pound?
Answer:
Apples
Step-by-step explanation:
Answer: Apples cost $1.20 per pound of apples.
Step-by-step explanation:
6/5 = 1.20 per pound of apples
4/5 = 0.80 per pound of bananas
5/4 = 1.25 per pound of peaches
9/6 = 1.50 per pound of kiwis
3/8 multiplied by 4/5 in fraction form
I WILL GIVE BRAINLIEST
3/8 multiplied by 4/5 forms the fraction 3/10
What is the required fraction ?
A fraction has numerator in top & denominator in bottom.
Given fractions are 3/8 & 4/5.
To multiply these two numbers, we have to multiply numerator of 3/8, i.e. 3 with numerator of 4/5, i.e. 4.
Also we have to multiply denominator of 3/8, i.e. 8 with denominator of 4/5, i.e. 5.
So, the new number be 3/8 × 4/5
= (3×4)/(8×5)
= 12/40 = 3/10
The required fraction is 3/10
Learn more about fraction here :
https://brainly.com/question/78672
#SPJ2
If g(x) = x2 − 4, find g(5).
6
14
21
29
plz help!!
Answer: 21
Step-by-step explanation: 5*5=25-4=21
To find g(5), substitute the value of x as 5 in the function g(x) = x^2 - 4. Then, calculate the result to obtain g(5) = 21.
Explanation:Given, the value of x is 5 and a function g(x) = x^2 - 4. To find g(5), we need to substitute the value of x as 5 in the function g(x) = x2 - 4.
So, on substituting the value of x, the answer becomes g(5) = 52 - 4. Here, 52 is the square of
On Calculating further, g(5) = 25 - 4 = 21.
Therefore, g(5) = 21. The answer obtained is 21.
Learn more about Function evaluation here:https://brainly.com/question/12056604
#SPJ2
2 3/4 to a decimal terminating or repeating
Answer: Terminating decimal
Step-by-step explanation:
2 3/4 as a faction is 2.75
2.75 is a terminating decimal
Find the
1. domain
2. range,
3. x-intercepts,
4. y-intercepts
5. the rate of change on |-1,4|
6.find the interval(s) where the graph is increasing
7. find the interval(s) where the graph is decreasing
8.find the interval(s) where the graph is positive
Answer:
I dont think you need the answer anymore, the question is from ages ago
Step-by-step explanation:
The absolute value function has a domain of all real numbers, a range of non-negative real numbers, a single x-intercept at (0, 0), no y-intercept, a constant rate of change of 1 over the interval [-1, 4], and is increasing for x greater than 0 and decreasing for x less than 0. Overall, the graph is positive over the entire real number line.
1. Domain:
The domain of a function is the set of all possible input values (x-values) for which the function produces a real output value (y-value). In the case of the absolute value function, the output is always real, so the domain is all real numbers. Therefore, the domain is:
(x) ∈ (-∞, ∞)
2. Range:
The range of a function is the set of all possible output values (y-values) that the function produces. The absolute value function always outputs a non-negative value, so the range is:
(y) ∈ [0, ∞)
3. x-intercepts:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This happens when the output value (y) is zero. In the case of the absolute value function, the output is zero only when the input (x) is zero. Therefore, the x-intercept is:
(0, 0)
4. y-intercepts:
The y-intercept of a function is the point where the graph of the function crosses the y-axis. This happens when the input value (x) is zero. In the case of the absolute value function, the output is always non-negative, so there is no y-intercept.
5. Rate of change on |-1,4|:
The rate of change of a function at a point is the slope of the line tangent to the graph of the function at that point. The absolute value function is a piecewise function, so it has different slopes in different intervals. Over the interval |-1, 4| , the function is simply x + 1, so the rate of change is 1.
6. Intervals where the graph is increasing:
The graph of the absolute value function is increasing over the intervals where the expression inside the absolute value bars is positive. In other words, the graph is increasing when x > 0. Therefore, the interval where the graph is increasing is:
(x) ∈ (0, ∞)
7. Intervals where the graph is decreasing:
The graph of the absolute value function is decreasing over the intervals where the expression inside the absolute value bars is negative. In other words, the graph is decreasing when x < 0. Therefore, the interval where the graph is decreasing is:
(x) ∈ (-∞, 0)
8. Intervals where the graph is positive:
The graph of the absolute value function is always non-negative, so it is positive over the entire interval:
(x) ∈ (-∞, ∞)
72% and 89% confirm that the mean theses two are scores is 80.5%
Answer:
correct. the mean of 72 and 89 is 80?5
Step-by-step explanation:
find the mean to confirm it.
(a+b)/2
72+89= 161
161/2=80.5
Write and solve an equation
based off the verbal phrase.
6 more than x is equal to 33
x + 6 = 33 ---> is 6 more than x ^^
x = 27
Help me please I got 55 questions to go in I’m not really good at math
Answer:2 hr 30 min
Step-by-step explanation:
Answer:
D) 2 hr 30 min
Step-by-step explanation:
The current time on the clock says 6:30 pm. Sherry's mom says that she must go to bed at 9:00 pm. Note that there are 60 minutes in an hour. Subtract:
9:00 pm = 8:60 pm
Subtract:
8:60 pm - 6:30 pm = 2:30
2 hours 30 minutes is your answer, or D).
~
26. Higher Order Thinking Explain how
you know 437,160 is greater than 43,716.
Answer:
Step-by-step explanation:
Locate the decimal point.
Count to the left of the decimal point.
The number with the most number of digits is larger than the number with fewer digits.
437160 has six digits.
It is 10 times bigger then
43716 which only has 5 digits.
the question is y³+9y²
What is six,thousand,fifty,four in standard form
Answer:
6,054
Step-by-step explanation:
6000+50+4=6054 basically.
Hope this helps!!!
Brady
Factor the following polynomial completely 6x^5-30x^4-84x^3
Answer:
6x^3(x+2)(x-7)
Step-by-step explanation:
1st step: factor out common term, 6x^3(x^2 - 5x - 14)
2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)
3rd step: simplify, 6x^3(x+2)(x-7)
I am joyus to assist :)
A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer. What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?
Answer:
0.5
Step-by-step explanation:
Total computers in the shipment = 8
Number of computers with defects = 4
We have to find if the sample size of 1 is drawn from the 8 computers, what is the probability that it will not contain a defective computer.
Drawing a sample size of 1 is equivalent to selecting 1 computer on random. So, in short we have to find the probability of randomly selecting a computer which is not defective.
Since, out of 8 computers, 4 are defective, so, the remaining 4 will be without defects.
Probability is defined as ratio of favorable outcomes to total number of possible outcomes.
Possible outcome here is any of the 8 computers. So number of possible outcomes is 8.
Favorable outcome is selecting the computer without defect. So, number of favorable outcomes = 4
Thus, the probability of selecting a computer without defect = 4/8 = 0.5
The probability of drawing a non-defective computer from a sample size of 8, with 4 being defective, is 0.5 or 50%.
Explanation:The question is asking for the probability that a single computer from a shipment of eight will not be defective. With 4 defective computers out of 8, we know that the other 4 are not defective. The total number of outcomes when drawing one computer is 8. We are interested in the events where the drawn computer is not defective. As there are 4 such computers, there are 4 successful outcomes.
So, to find the probability, we construct a ratio of successful outcomes (not defective computers) to total outcomes (all computers). That would be 4 over 8, or 0.5, meaning there is a 50% chance that if you draw one computer, it will not be defective.
Learn more about Probability here:https://brainly.com/question/22962752
#SPJ3
You have already 5 miles of an 18 -miles trail. If you walk the rest of the rest of the trail at a pace of 1 mile in 17 minutes, How many wile it take you to finish the trail?
To finish the remainder of the 18-mile trail, it will take 3 hours and 41 minutes at a pace of 1 mile in 17 minutes.
Explanation:To find out how many miles it will take to finish the trail, subtract the distance already covered from the total length of the trail. In this case, subtract 5 miles from 18 miles to get 13 miles remaining. Next, divide the remaining distance by the pace at which you walk, which is 1 mile in 17 minutes. So, if it takes 17 minutes to walk 1 mile, it will take 17 times 13 minutes to finish the rest of the trail. Finally, calculate the total time in minutes by multiplying: 17 times 13 equals 221 minutes, or 3 hours and 41 minutes to finish the trail.
Learn more about Calculating time and distance here:https://brainly.com/question/32817533
#SPJ2
the vet put 2 litters of kittens in a cage with 5 other kittens she also put 3 litters of puppies in the cage next door with one other puppy if all the litters have the same number of animals and the cages now contain the same number of animals how many animals are in each litter
answer:
10
Step-by-step explanation:
if u add 5+3+2 that will equal 10
Each litter contains 4 animals.
Explanation:To find the number of animals in each litter, we need to use the given information. We know that the vet put 2 litters of kittens in a cage with 5 other kittens, so there are a total of 7 kittens in the first cage. In the second cage, there are 3 litters of puppies with 1 other puppy, so there are 4 puppies in the second cage. Since the cages now contain the same number of animals, we can set up an equation: 2 litters of kittens + 5 other kittens = 3 litters of puppies + 1 other puppy. Substituting the given numbers, we have 2x + 5 = 3x + 1, where x represents the number of animals in each litter. Solving this equation, we find that x = 4. Therefore, each litter contains 4 animals.
What are the coordinates of point B on the pre-image
Answer: C)- (2,3)
Answer on edge
Find the value of x
Answer: x=58
Step-by-step explanation:
We know that the entire angle equals 360 degrees
Let’s subtract 293 from 360
360- 293 = 67
Then let’s subtract 44 from 67 to get (x-35)
67 - 44 = 23
We now know that 23 = (x - 35), so let’s write and solve the equation for it
23 = x-35
Add 35 on each side
X = 58
how do you simplify 2 2/3
Answer:2.66
Step-by-step explanation:
7
factors of 56
What are factors of 56
Answer: 1 , 2 , 4 , 7 , 8 , 14 , 28 , 56
Step-by-step explanation:
Answer:
1 , 2 , 4 , 7 , 8 , 14 , 28 , 56
Step-by-step explanation:
please mark me brainiest and like and rate 5 stars
A used boat is on sale for 2,400.Austin makes an offer equal to 2/3 of this price.How much does Austin offer for the boat
Answer:1600 he offered
Step-by-step explanation: 2400 / 3 x 2 = 1600