In a sale, if the normal prices are reduced by 10% and David bought a pair of trainers in the sale for £36 then the marked price of these trainers was £40.
What is original price?Original price is said to be as the price that was fixed by the MSRP (i.e said to be the Manufacturer’s Suggested Retail Price).
In most of the case scenario, the original price would taken to be as always lower than the current price and then also in some other cases, original price and current price can be taken as the same.
How do you calculate the original price?First you have to convert the total percent discount to a decimal by dividing by 100% . Step 2: Set up the equation P=(1−d)x P = ( 1 – d ) x to find the original price of the item where P is the sale price, d is the discount as a decimal, and x is the original price of the item.
The selling price, may be that of a product or a service, is said to be as the customer or client’s final price
How do you find the original price from a discounted price calculator?To calculate the exact original price of a selected item, you have to divide the sale price by the value of 1 minus the entire value of the percentage off and then divided by 100.
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The next two problems show the attempts of two different students to provide a proof of the same statement. Each proof has something about it that is not quite correct. Explain how you would improve the argument.
We will improve the argument by stating that two intersecting lines have vertically opposite angles equal in magnitude.
We are given a diagram in which we have two lines, namely "m" and "n".The intersection point of the two lines is P.We need to prove that ∠1≅∠3.We know that line "m" is a straight line, so it makes a total angle of 180° on either of its sides.∠1+∠2 = 180°We know that line "n" is a straight line, so it makes a total angle of 180° on either of its sides.∠3+∠2 = 180°From the above two equations, we find that :∠1+∠2 = 180° = ∠3+∠2∠1+∠2 = ∠3+∠2∠1 = ∠3Thus, ∠1≅∠3.To learn more about lines, visit :
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n/−3 +5>4 Solve for this
Answer:
N<3
Step-by-step explanation:
HELP MEEE HELP ME HLSP ME
The inequality for the temperature in the house measured by thermostat is; 24° ≤ t ≤ 26°. The highest temperature is 26° C.
What is defined as the term inequality?In mathematics, an inequality is a relationship representations or values that aren't equal to each other. When two numbers are equal, we use the symbol '=', and if they are not equal, we use the symbol ≠.For the given question.
The thermostat at the house is set at 25° C.
Now, there is a deviation of the temperature of 1° C.
Thus,
The lowest temperature measured = 25° C - 1° C = 24° C.
The highest temperature measured = 25° C + 1° C = 26° C.
Let 't' be the temperature of the house.
The inequality will be;
24° ≤ t ≤ 26°
Thus, the maximum value of the temperature will be 26° C.
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Simplify 5(−4−8w)−3w.
Answer:
-20-43w
Step-by-step explanation:
5(-4-8w)-3w
-20-40w-3w
-20-43w
There are 3 consecutive integers with a sum of 45. What are the integers?
The three consecutive integers are 14, 15, and 16.
Assume the three consecutive integers to be x-1, x, and x+1.
Sum of all three = 45.
x-1 + x + x+1 = 45
3x = 45 (-1 and +1 get cancelled)
x = 45/3
x = 15
the first integer is x-1 = 15 - 1 = 14
the second integer is x = 15
the third integer is x+1 = 15 + 1 = 16
So, the three consecutive integers are 14, 15, and 16.
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Function: g(x) = 2x2 – 8
For x ≥ 0, the inverse function is f(x)= √
1
2
x + 4
For x ≤ 0, the inverse function is d(x)= – √
1
2
x + 4
A 3-column table has 3 rows. The first column is labeled x with entries negative 8, 0, 10. The second column is labeled f (x) with entries 0, r, s. The third column is labeled d (x) with entries q, negative 2, t.q =
r =
s =
t =
The inverse function of g(x) = 2x² - 8 for each case is given as follows:
x ≥ 0: y = √(0.5x + 4).x < 0: y = -√(0.5x + 4).Inverse functionTo find the inverse function, we exchange the variables x and y in the original function, and then isolate the variable y.
The original function in this problem is given as follows:
g(x) = 2x² - 8.
The function is not one-to-one, hence the inverse is different for x ≥ 0 and for x < 0.
Exchanging the variables, we have that:
x = 2y² - 8.
Isolating the variable y, we have that:
2y² = x + 8
y² = 0.5x + 4 (the entire equation was divided by 2 to isolate y)
y = ± sqrt(0.5x + 4).
For non-negative values, the inverse function is:
y = sqrt(0.5x + 4) = √(0.5x + 4).
For negative values, the inverse function is:
y = -sqrt(0.5x + 4) = -√(0.5x + 4).
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Answer: 0,2,3,-3
Step-by-step explanation:
i’ll mark brainliest!
1. (a)The vertex of the function [tex]y=x^{2} +5x-7[/tex] is [tex](-\frac{5}{2} ,-\frac{53}{4} )[/tex]
How is the vertex calculated?
In function [tex]y=x^{2} +5x-7[/tex],
a= 1 ,b= 5, c= -7
For a function [tex]y=ax^{2} +bx+c[/tex] , where (a≠0),
The vertex is [tex](-\frac{b}{2a} ,\frac{4ac-b^{2} }{4a} )[/tex]
[tex]x_v=-\frac{b}{2a}\\\\ =-\frac{5}{2*1} \\\\=-\frac{5}{2} \\\\\\y_v=\frac{4ac-b^{2} }{4a} \\\\=\frac{4*1*(-7)-(5^{2} )}{4*1}\\\\ =-\frac{53}{4}[/tex]
So, vertex [tex](-\frac{5}{2} ,-\frac{53}{4} )[/tex] is minimum because a>0
(b)The solutions are [tex](\frac{\sqrt{53} -5}{2},0) (\frac{-5-\sqrt{53} }{2},0)[/tex]
How is the solution calculated?
When a function [tex]y=ax^{2} +bx+c =0[/tex] where (a≠0),
[tex]x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a} \\\\x=\frac{-5\pm\sqrt{5^{2} -4(1)(-7)} }{2(1)} \\\\x=\frac{-5\pm\sqrt{53} }{2} \\\\x=\frac{\sqrt{53} -5}{2} , x=\frac{-5-\sqrt{53} }{2} \\\\\text{The solutions are } (\frac{\sqrt{53} -5}{2},0) (\frac{-5-\sqrt{53} }{2},0)[/tex]
2. (a)The vertex of the function [tex]y=-x^{2} +3x+8[/tex] is [tex](\frac{3}{2} ,\frac{41}{4} )[/tex]
How is the vertex calculated?
In function [tex]y=-x^{2} +3x +8[/tex]
a= -1 ,b= 3, c= 8
For a function [tex]y=ax^{2} +bx+c[/tex] , where (a≠0),
The vertex is [tex](-\frac{b}{2a} ,\frac{4ac-b^{2} }{4a} )[/tex]
[tex]x_v=-\frac{b}{2a}\\\\ =-\frac{3}{2*(-1)} \\\\=\frac{3}{2} \\\\\\y_v=\frac{4ac-b^{2} }{4a} \\\\=\frac{4*(-1)*(8)-(3^{2} )}{4*(-1)}\\\\ =\frac{41}{4}[/tex]
So, vertex [tex](\frac{3}{2} ,\frac{41}{4} )[/tex] is maximum because a<0
(b)The solutions are [tex](\frac{3+\sqrt{41} }{2},0) (\frac{3-\sqrt{41} }{2},0)[/tex]
How is the solution calculated?
When a function [tex]y=ax^{2} +bx+c =0[/tex] where (a≠0),
[tex]x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a} \\\\x=\frac{-3\pm\sqrt{3^{2} -4(-1)(8)} }{2(-1)} \\\\x=\frac{-3\pm\sqrt{41} }{-2} \\\\x=\frac{3\pm\sqrt{41} }{2}\\\\x=\frac{3-\sqrt{41}}{2} , x=\frac{3+\sqrt{41} }{2} \\\\\text{The solutions are } (\frac{3+\sqrt{41} }{2},0) (\frac{3-\sqrt{41} }{2},0)[/tex]
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Which number is the smallest?
pls answer fast
Responses
A 4.68 x 10−44.68 x , 10 -4
B 5.48 x 10−85.48 x , 10 -8
C 2.85 x 10−62.85 x , 10 -6,
D 3.24 x 10−53.24 x , 10 -5,
E 1.28 x 10−4
The smallest number from the given options is
[tex]5.48 × {10}^{ - 8} [/tex]
The correct answer option is option d
How to find the smallest number?A.
[tex]1.28 × {10}^{ - 4} [/tex]
= 1.28 × 0.0001
= 0.000128
B.
[tex]2.85 × {10}^{ - 6} [/tex]
= 2.85 × 0.000001
= 0.00000285
C.
[tex]3.24 × {10}^{ - 5} [/tex]
= 3.24 × 0.00001
= 0.0000324
D.
[tex]5.48 × {10}^{ - 8} [/tex]
= 5 48 × 0.00000001
= 0.0000000548
Therefore, the smallest number is
[tex]5.48 × {10}^{ - 8} [/tex]
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3(5y-7)-2(9y-11)=4(8y-13)-17
Answer:[tex]3(5y - 7) - 2(9y - 11) = 4(8y - 13) - 17 \\➪ 15y - 21 - 18y + 22 = 32y - 52 - 17 \\ ➪15y - 18y - 32y = - 52 - 17 + 21 - 22\\➪-35y = - 70 \\➪35y = 70 \\ \: (cancel \: \: out \: "-" \: from \: both \: sides) \\ ➪y = \frac{ 70}{35} = 2 \\ \\ [/tex]
Tʜᴀɴᴋs| (• ◡•)|Hᴏᴘᴇ ɪᴛ ʜᴇʟᴘsidentify the paragraph proof for the two-column proof. Given: m∠d=125° and m∠r=125° Prove: ∠d≅∠r Two-Column Proof 1. m∠d=125° (Given) 2. m∠r=125° (Given) 3. m∠d=m∠r (Trans. Prop. of = ) 4. ∠d≅∠r (Def. of ≅∠s)
The two column proof is written as follows
Statement Reason
1. m ∠ d = 125° Given
2. m ∠ r = 125° Given
3. m ∠ d = m ∠ r Definition of equality
4. ∠ d ≅ ∠ r Definition of congruent angles
What is two column proof?This is a method of proof used in geometry. It helps to show how the required proof came to be possible. The major items in two column proof is:
StatementReasonwhat is equality?The term equality as used in mathematics is defined to mean that the terms in comparison can be replace by the other
Using the given question as an instance:
m ∠ d = 125° and m ∠ r = 125°
This means that the two angles have same value and they can replace each other.
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a textbook store sold 324 a combined total of chemistry and biology textbooks in a week. the number of chemistry textbooks sold was three times the number of biology textbooks sold. how many textbooks of each type were sold?
Total number of Chemistry textbooks sold is 81 and total number of Biology textbooks sold is 243
How is the number of each textbooks sold, calculated?Let there are x biology textbooks sold.
No of chemistry textbooks sold = 3 the number of biology textbooks sold
ATQ,
A textbook store sold a combined total of 324 biology and chemistry textbooks in a week.
x + 3x = 324
4x = 324
x = 81
It means there are 81 biology textbooks sold and 3x = 3(81) = 243 chemistry textbooks sold.
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the measure of the angle of a triangle are shown in the figure below. solve for x (8x-18)° 110° 40°
Answer:
x = 6
Step-by-step explanation:
180 = (8x - 18) + 110 + 40
180 = 8x + 132
48 = 8x
6 = x
If the measure of the angle is needed:
8(6) - 18 = 30
Which of the contexts below could not be modeled by an exponential function?
A certain population of 16 aggressive zombies quintuples every day.
A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.
A coin collection appreciates at a rate of 5.2% per year.
A car depreciates at a rate of 4.9% per year.
The answer choice which could not be modelled by an exponential function among the given answer choices is; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.
Which context could not be modelled by an exponential function?It follows from the task content that the expression which could not be modelled by an exponential expression be identified among the answer choices.
An exponential function is one in which case the change factor is expressed as an exponent of the independent variable.
However, the function described as; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile is termed a linear model in which case;
The rate of change is constant and is equal to; $4.75 per mile.
Hence the required answer choice which cannot be modelled by an exponential function is; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.
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i'm still confused. helpppppppppppppppppppppppppppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
I believe you forgot to add the attachment
Step-by-step explanation:
There is no math problem I can see to help you
suppose you give 10 people a taste test where they each try samples of two different brands of soda. after drinking both samples they tell you which soda they liked best. what is a/the confounding variable in this experiment?
Confounding variables are any other variable that also has an effect on your dependent variable.
What is a confounding variable?
A confounding variable, also called a confounder or confounding factor, is a third variable in a study examining a potential cause-and-effect relationship.
A confounding variable is related to both the supposed cause and the supposed effect of the study. It can be difficult to separate the true effect of the independent variable from the effect of the confounding variable.
In your research design, it's important to identify potential confounding variables and plan how you will reduce their impact.
For example, if you are researching whether drinking both sample lead to taste test, then drinking both sample is your independent variable and taste test is your dependent variable. Confounding variables are any other variable that also has an effect on your dependent variable.
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The employees at a baseball bat factory need to make 350,000 bats in 6 months. They make 2,750 bats each day and work 127 days in the 6 months. Do the employees make enough bats?
Answer:
75 boxes
Step-by-step explanation:
If you divide 24000 bats by 50 boxes, you get 480. Then, if you divide the 36000 by 480, you will get 75
PLS HELP!!
Answers: 8,20,35,12
Answer:
the answer is 8.
Step-by-step explanation:
Use the Pythagoras Theorem since it is a triangle.
[tex]a^{2}+b^{2}= c^{2}\\\\a^{2}+15^{2}= 17^{2}\\ a^{2}+225=289\\ a^{2}=289-225\\ a^{2}= 64\\ \sqrt{a}= \sqrt{64}\\ a=8[/tex]
Since you have the hypotenuse and base, just put those into the equation and find the missing side.
y > x-2 3 4 y> -x + 1 Which point is a solution set to the inequalities? b (0,1) (1.0) (-3, 2) (2.-3) d
Replace each point in both inequalities and see if the inequality remains:
(0,1) = (x,y)
1 ≥ 1/3(0)-2
1≥-2
y>4/3x+1
1>4/3(0)+1
1>1 NOT TRUE.
Point b.
(1,0) = (x,y)
0 ≥ 1/3(1)-2
0≥ 1/3-2
0≥-5/3
0>4/3(1)+1
0>7/3 NOT TRUE
Pint c. (-3,2)
2≥1/3(-3)-2
2≥ -1-2
2≥-3
2>(4/3)-3+1
2>-4+1
2>-3 TRUE
(-3,2) is a solution point to the set of inequalities. (option c)
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER ONES !!I NEED THIS BY **TODAY**
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
The equation of a line is y=mx+c, where m is the slope and c is the y-intercept (where the line crosses the y-axis).
Looking at the graph, we can see that the line crosses the y-axis at y=-3, so we know c= -3.
The slope of a line can be found by taking two points on the line, [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex], and subbing them into the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Let's take the two points (2,-2) and (4:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-1)-(-2)}{4-2}=\frac{1}{2}[/tex]
Therefore, since the equation of a line is y=mx+c, our answer is [tex]y=\frac{1}{2}x-3[/tex]
Answer:
y=1/2x-3
Step-by-step explanation: given: (0,-3) (2,-2)
y=mx+b
-3=(m*0)+b
-3=b
-2= (m*2)-3
1=2m
m=1/2
y=mx+b
y=1/2x-3
how many of these figures have atleast one vertex
0.194805194805...
Convert the decimal into a fraction.
Answer:
The fraction is 15/77Step-by-step explanation:
The repeated part is 194805, six digits. Let the fraction be x.
Convert as follows:
1000000x - x = 194805.194805 ... - 0.194805 ... 999999x = 194805x = 194805/999999Find prime factors of both numerator and denominator and simplify by cancelling common factors:
194805 = 3⁴*5*13*37,999999 = 3³*7*11*13*37.The common factors are:
3³*13*37When they cancel we are left with:
x = (3*5)/(7*11) x = 15/77Denasia and Kenya are training to run a half marathon. In the first week of training, Denasia runs 11 miles and Kenya runs 14 miles.
Each week, Denasia increases her weekly total by 2 miles, and Kenya increases her weekly total by 1.5 miles. Write and solve an
equation to find how many weeks after the first week of training Denasia and Kenya will be running the same number of miles.
A. 2w + 14 = 1.5w+11; w=-6 weeks
B. 2w + 11 = 1.5w+14; w=6 weeks
C. 11w+2= 14w +1.5; w=0, 167 weeks
Option B. 2w + 11 = 1.5w + 14, w = 6 weeks is the correct answer
Miles run by Denasia = 11 miles
Miles run by Kenya = 14 miles
Let w represent the number of weeks after which both Kenya and Denasia will be running the same number of miles
Formulating the equation we get:
Miles run by Denasia + Increase in miles each week*Number of weeks = Miles run by Kenya + Increase in miles each week*Number of weeks
11 + 2w = 14 + 1.5w
0.5w = 3
w = 6
Hence, option B is the correct answer according to the given contraints and both Denasia and Kenya will run the same distance in the 6th week
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A total of 77 tornadoes have been documented in tuscaloosa county in the period beginning on january 1, 1950 and ending on december 31, 2020. What is the recurrence interval for tornadoes in tuscaloosa county?.
The Recurrence interval for tornadoes in tuscaloosa county is 0.909
What is recurrence interval ?
The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence
Given that,
Total number of tornadoes is 77
Total time for Recurrence is 70 years
Using these data,
Recurrence = Total time for recurrence / Total number of tornadoes
Substituting we get,
Recurrence interval = 70/77
= (70/77)
= (0.909)
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The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X.What is the measure of angle ACB? (6 points)O 29°O 8°O 16°O 21°
The Solution.
Considering triangle ABC, we have
[tex]\begin{gathered} angle\text{ACB}=180-(90+40+42) \\ =180-172=8^o \end{gathered}[/tex]Hence, the correct answer is 8 degrees (option B)
I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(
The statement that best describes the total cost of the Screened Loam, Round stone, and Crushed stone is; D: The total cost is greater than $325
How to solve Algebra Word Problems?We are given the amount of each material required for the Landscaping Project as;
Screened Loam = 3.25 cubic yards
Round stone = 1.5 cubic yards
Crushed stone = 2.5 cubic yards
Likewise we are given the cost of each of these materials per cubic yard as;
Cost of Screened Loam = $26 per cubic yards
Cost of Round stone = $112.5 per cubic yards
Cost of Crushed stone = $37.5 cubic yards
Thus;
Total Cost = (26 * 3.25) + (112.5 * 1.5) + (37.5 * 2.5)
Total Cost = 84.5 + 168.75 + 93.75
Total Cost = $347
Looking at the given options, the most appropriate is option D
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9(w + 1) = 99
w =
if you tell me the answer then ur a W
w = 10.
Step-by-step explanation:
9(w+1) = 99
9w+9 = 99
9w = 99-9
9w = 90
w = 90/9
w = 10.
[tex]{ \boxed{ \red{ \sf{w = 10}}}}[/tex]
Step-by-step explanation:
[tex]{ \purple{ \sf{9(w + 1) = 99}}}[/tex]
[tex]{ \purple{ \sf{9w + 9 = 99}}}[/tex]
[tex]{ \purple{ \sf{9w = 99 - 9}}}[/tex]
[tex]{ \purple{ \sf{9w = 90}}}[/tex]
Divide both the sides by 9 then
[tex]{ \purple{ \sf{ \frac{9w}{9} = \frac{90}{9} }}}[/tex]
[tex]{ \pink{ \boxed{ \blue{ \sf{w = 10}}}}}[/tex]
what’s the answer ???
Answer:
a=29. b=32 c=30. d=30
Step-by-step explanation:
look at the arrow and get the answer if am wrong let me know
The remainder when the expression x^3+6x^2+x+c is divided by x-2 is twice the remainder when the expression is divided by x-1.
show that c=24
Answer:
c = 18
Step-by-step explanation:
According to the remainder theorem, the remainder when f(x) is divided by (x - n) is f(n).
As per question we are given:
f(2) = 2f(1)Substitute and solve for c:
2³ + 6*2² + 2 + c = 2(1³ + 6*1² + 1 + c)8 + 24 + 2 + c = 2(1 + 6 + 1 + c)34 + c = 2(8 + c)34 + c = 16 + 2c2c - c = 34 - 16c = 18Note: I got a different value of c. This may be a result of a typo in the given expression. I provided a guide to solve such problems. Let me know is anything is unclear.
Mrs. Smith made 4 pizzas .with 11 oz of cheese How much cheese is
each pizza made with ?
Answer:
2.75
divide 11/4
under what circumstances can a very small treatment effect still be significant? group of answer choices if the standard error of m (s m) is very large if the sample size (n) is very large all of the other factors are likely to produce a significant result. if the sample standard deviation (s) is very large
A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
What is the standard error, and sample size?The standard error calculates the discrepancy between a sample's estimate and the actual value for the population. Therefore, the standard error should be smaller the better. In fact, a standard error of zero or extremely close to it would indicate that the projected value and the actual value are identical.Sample size determination is the process of deciding how many observations or replicates to include in a statistical sample. The sample size is an important consideration in any empirical study that aims to infer information about a population from a sample.Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
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