By applying basic concept of percentage we got that if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%
What is percentage?Percentage is a number expressed as a fraction of 100.
Here given that Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots.
First she get 10% discount so she has to pay only 90% amount of original
Now she is getting 5% more off
She has to pay 95% of 90%
so purchase price 0.95[tex]\times[/tex] 90%
= 85.5%
By applying basic concept of percentage we got that if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%
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Sally had seventy - seven dollars to spend on eight books. After buying them she had thirteen dollars. How much did each book cost ?
Helppp
Answer:
$8 each
Step-by-step explanation:
We know Sally has $77 to spend. She bought 8 books, and was then left with $13. First, let's subtract 13 from 77 to see how much it cost in total.
77 - 13 = 64
Now, to find out how many each book cost, we have to divide the total amount by how many books Sally got.
64 / 8 = 8
Each book cost $8.
QUICK!!! Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (−3, 5) and a radius of 24. What steps will help show that circle A is similar to circle B? (5 points)
Group of answer choices
A. Translate circle A using the rule (x + 3, y − 1).
B. Rotate circle A 180° about the center.
C. Dilate circle A by a scale factor of 4.
D. Reflect circle A over the line y = x.
Answer:
Dilate circle A by a scale factor of 4. (c)
Step-by-step explanation:
HOPE THIS HELPS!!!
The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.
The correct option is (C).
What is Dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Circle A has center of (0, 4) and a radius of 6
circle B has a center of (−3, 5) and a radius of 24.
The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.
We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
This transformation produces an image that is the same as the original shape.
Thus, Dilate circle A by a scale factor of 4.
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is 3 pints greater, less than, or equal to 8 cups
Answer:
less than
Step-by-step explanation:
a pint is 2 cups so 8 cups is 4 pints
yw
A new company opens and finds the profits from their first year in business is $24,000. They project the company's profits to increase by 1.7% each year. What is their expected profit 10 years from now?
Answer:
$4406.7 is the profit.
explanation:
compound interest formula: [tex]\sf \large\boxed{\sf P(1+\frac{r}{100})^n }[/tex]
using this formula:
[tex]\rightarrow \ \sf \sf 24000(1+\dfrac{1.7}{100})^{10} }[/tex]
[tex]\rightarrow \sf \ $ \sf 28406.7[/tex]
profit: $28406.7 - $24,000 = $4406.7
An amusement park ride lifts seated riders 265 feet above the ground. The riders are then dropped and experience free fall until the brakes are activated 105 feet above the ground. The function h=-16t^2+265 represents the height h (in feet) of the riders t seconds after they are dropped. How long do the riders experience free fall? Round your solution to the nearest hundredth.
The riders experience free fall for about ___ seconds.
Answer:
The riders experience free fall for about 3.12 seconds.
Step-by-step explanation:
Find t when h = 105
105= [tex]-16t^{2} +256[/tex]
0= [tex]16t^{2}[/tex] +160
0 = -16([tex]t^{2}[/tex]-10)
[tex]t^{2}[/tex] - 10 = 0
[tex]t^{2}[/tex] = 10
[tex]t = \sqrt{10}[/tex]
The riders experience free fall for about 3.16 seconds.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find how long the riders experience free fall, we need to find the time when the height is 105 feet above the ground.
So, we need to solve the equation:
-16t² + 265 = 105
Adding 16t² to both sides, we get:
16t² = 160
Dividing both sides by 16, we get:
t² = 10
Taking the square root of both sides, we get:
t = ±3.16
Since we are only interested in the positive value of t, we can round 3.16 to the nearest hundredth to get:
t = 3.16 seconds
Therefore,
The riders experience free fall for about 3.16 seconds.
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(02.08 MC) Multiply (x - 4) (x^2 -5x - 6). (6 points)
1)x^3-9x^2+14x+ 24
2)x^3-x^2+26x+ 24
3)x^3-5x^2+10x +24
4)x^3-15x^2+ 20x+ 24
Answer:
Your answer is: A) x^3-9x^2+14x+24
Multiply each term in the first expression by each term in the second expression and combine like terms.
Step-by-step explanation:
Hope this helped : )
7. Evaluate square root 64. 121.
Answer:
88
Step-by-step explanation:
[tex]\sqrt{(64)(121)}\\\sqrt{64} \sqrt{121} \\(8)(11)\\88[/tex]
The square root of 64×121 is 88.
What is square root of a number?Square root is a factor of a number that, when multiplied by itself, gives the original number.
According to the given question
We have to find the square root of 64 × 121
The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2
And the prime factorization of 121 is 11 × 11.
Therefore the square root of 64 × 121 is given by
[tex]\sqrt{(64)(121)} =\sqrt{(2)(2)(2)(2)(2)(2)(11)(11)} = (11)(2)(2)(2)=88[/tex]
Hence, the square root of 64×121 is 88.
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In a certain town there were 247 robberies last year. This year the number of robberies has gone down 27%. How many robberies were there this year, to the nearest whole number?
f (x) = 3x - 5, find f (7)
Answer:
f(7) = 16
Step-by-step explanation:
substitute x = 7 into f(x) , that is
f(7) = 3(7) - 5 = 21 - 5 = 16
If 10% of my money is $15, then what is 40% of my money?
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 10&15\\ 40&x \end{array}\implies \cfrac{10}{40}=\cfrac{15}{x}\implies \cfrac{1}{4}=\cfrac{15}{x}\implies x=60[/tex]
Answer:
$21
Step-by-step explanation:
if 10% is $15 then 40%*$15 is $21
Ravi has put his coins into 4 stacks. Each stack has 12 coins. How many coins total are there?
Answer:
48
Step-by-step explanation:
there is 4 stacks of 12 coins
4x12=48
James, Ann and Frank have 14 pencils total. James has 2 pencils, and Ann has 4 pencils. How many pencils does Frank have?
Hey!
All we have to do is subtract however many pencils the others have.
So, lets do James first.
14-2=12
Now we subtract Ann's.
12-4=8
So, Frank has 8 Pencils.
Hope this helps!
Answer:
8
Step-by-step explanation:
14-(2+4)= 8
Its fairly simple but if you don't pay attention and don't add it up correctly you will have problems in your answer. (Hope you found this helpful!)
Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour.
Answer:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Step-by-step explanation:
Given
[tex]Distance = 3\frac{1}{6}km[/tex]
[tex]Time = \frac{1}{4}hr[/tex]
Required
Determine the average speed
Average speed is calculated as thus;
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = 3\frac{1}{6}/\frac{1}{4}[/tex]
[tex]Speed = 3\frac{1}{6} * \frac{4}{1}[/tex]
Convert Mixed Fraction to Improper fraction
[tex]Speed = \frac{19}{6} * \frac{4}{1}[/tex]
[tex]Speed = \frac{19 * 4}{6 * 1}[/tex]
[tex]Speed = \frac{76}{6}[/tex]
Divide both sides of the fraction by 2
[tex]Speed = \frac{38}{3}[/tex]
Hence:
The speed is:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Answer:
38/3
Step-by-step explanation:
Solve the equation for x
bx – 10 = f
Answer:
x= f/b + 10/b
Step-by-step explanation:
f and b is one fraction + 10 and b is the other fraction
Si un polinomio es divido por el termino x-c, entonces el residuo es ¿Esta oración de qué teorema habla?
Grupo de opciones de respuesta
De la División Sintética
Del Factor
Del Residuo
De Pitágoras
cual es????????'
El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.
¿Qué es el teorema del residuo?Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.
Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.
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Suppose you run 2 miles from your house to a friends house at a speed of 7 mi/hr. When the time comes to return home, you are tired and walk the same 2 miles at 3 mi/hr. How long did you spend running to your friends house? How long did you spend walking home?
Answer:
[tex]Time = 17.143\ mins[/tex] -- When going
[tex]Time = 40\ mins[/tex] -- When coming back
Step-by-step explanation:
Given
[tex]Speed\ to = 7mi/hr[/tex]
[tex]Speed\ from = 3mi/hr[/tex]
[tex]Distance = 2\ mi[/tex]
Required
Determine time taken to your friend's house
Determine time taken from your friend's house
Distance is calculated as:
[tex]Time = \frac{Distance}{Speed}[/tex]
From the question, we understand that:
[tex]Distance = 2\ mi[/tex]
When going:
[tex]Speed\ to = 7mi/hr[/tex]
So, we have:
[tex]Time = \frac{2mi}{7mi/hr}[/tex]
[tex]Time = \frac{2}{7}hr[/tex]
Express in Minutes
[tex]Time = \frac{2}{7} * 60[/tex]
[tex]Time = \frac{120}{7}[/tex]
[tex]Time = 17.143\ mins[/tex]
When coming back:
[tex]Speed\ from = 3mi/hr[/tex]
[tex]Time = \frac{2mi}{3mi/hr}[/tex]
[tex]Time = \frac{2}{3}hr[/tex]
Express in Minutes
[tex]Time = \frac{2}{3} * 60[/tex]
[tex]Time = \frac{120}{3}[/tex]
[tex]Time = 40\ mins[/tex]
Pls help me pls I have a test
Answer:
See below.
Step-by-step explanation:
Area (rectangle) = Area (square)
6 x 10 = s²
s² = 60
s = √60
s = 2√15 cm
Perimeter
= 4s
= 4 x 2√15
= 8√15 cm
The perimeter of rectangle of length 600 and breadth 350 is ___________
Answer:
950
Step-by-step explanation:
Not gonna lie I kinda stole yo answer other person deserves all the credit
does ratio can be defined as " for every hundred terms " ?
Answer:
A ratio is defined as the comparison of one size of a number to the size of another number. A most convenient number to use when comparing numbers is 100. Ratios in which one number is compared to 100 are called percents. The word percent comes from the Latin word per centum.
Convert to fraction (mixed number): 2.75 = 2 + 0.75
Convert to decimal: 275% = 2.75
Problem: Convert 275% to a decimal and to a simplified fraction
Ned is looking over his credit scores. his experian score is 690, his equifax score is 691, and his transunion score is 651. what is his mean credit score? (round to the nearest whole point, if applicable.) a. 677 b. 671 c. 665 d. 690
The mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.
What is mean credit score?The mean credit score is the ratio of sum of all the credit score to the number of different credit scores.
Ned is looking over his credit scores. The different score is in his credit score are,
His experian score is 690, His equifax score is 691, His transunion score is 651.The sum of all the score is,
[tex]\sum \rm score=690+691+651\\\sum \rm score=2032[/tex]
There are total 3 scores. Thus the mean credit score is,
[tex]m=\dfrac{2032}{3}\\m\approx677[/tex]
Hence, the mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.
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Answer:
A. 677
Step-by-step explanation:
That is his mean credit score, i got it right on edge
AB & BC are two sides of a regular octagon. Calculate the size of angle x.
Answer:
x = 45°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 8 ( number of sides of an octagon ) , then
sum = 180° × 6 = 1080°
the interior angles of a regular octagon are congruent , so
∠ ABC = 1080° ÷ 8 = 135°
x and 135° are adjacent angles on a straight line and sum to 180° , then
x = 180° - 135° = 45°
can somone help i will give u brainlyst:)
Answer:
5 5/8
Step-by-step explanation:
1. you need to make the whole number a fraction so turn it into 9/1
2. multiply straight across
3. currently it's 45/8, you need to divide
4. divide 45/8 once
5. your answer of 5 5/8
Hi!
First, let's write 9 as a fraction:
[tex]\bold{\displaystyle\frac{9}{1}}[/tex]
Now multiply:
[tex]\bold{\displaystyle\frac{9}{1} *\frac{5}8} }[/tex]
multiply 9 times 5 and 1 times 8:
[tex]\bold{\displaystyle\frac{45}{8} }}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{5\frac{5}{8} }}}[/tex] (as a mixed number)
Hope everything is clear.
Let me know if you have any other questions; if so, please use the comment section.
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8.01+24.192=
adding decimals thousands
Answer:
32.202
Step-by-step explanation:
While shopping for clothes, Grace spent $39 less than
3 times what Emily spent. Grace spent $36. Write and
solve an equation to find how much Emily spent. Let x
represent how much Emily spent.
and write an equation to represent the following description and use x as the variable
Answer:
Step-by-step explanation:
$39 plus the amount of money Grace had spent, $36.
39 + 36 = 75.
That gets rid of the "39 less than" part. But in order to find out how much money Emily spent you need to triple 75.
75 x 3 = 225
Therefore, x = 225 or $225 was the amount that Emily spent.
Hope this helps! ^u^
Brainliest please.
Which value of x makes the following equation true?
5(x - 2) + 74 = -3x
A. 8
B. -7
C. -4
D. -8
Answer:
x=−8
Step-by-step explanation:
(5)(x)+(5)(−2)+74=−3x
5x+64=−3x
8x+64=0
8x=−64
x=−8
Answer:
da answer iz equals to -8
95 - 4G < 40 + 5G plz help me
This answer would be (55/9, ∞)
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline EndFraction in scientific notation? 0.5 times 10 Superscript 2 5.0 times 10 Superscript 3 5.0 times 10 Superscript 6 0.5 times 10 Superscript 7
Answer:
5.0 times 10 Superscript 6
Step-by-step explanation:
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?
This is represented mathematically as:
1.6 × 10¹⁴/ 3.2 × 10⁷
Solving for this
1.6 × 10¹⁴/ 3.2 × 10⁷
= [1.6/3.2] × 10¹⁴-⁷
= 5 × 10⁶
= 5.0 times 10 Superscript 6
Answer:
the answer is C) 5.0 x 10^6
Step-by-step explanation:
just took the test on edge 2021
-21=-39k+-24
Please give me an explanation.
Answer:
-1/3
step-by-step explanation:
-21=-39k+-24
39k = -24 + 21
39k = -3 (divide each side by 39)
k = -1/3
it takes a work crew 12 days to build 4 houses. How many days does it take to build one house?
Answer:
it takes 3 days for the crew to make one house
A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.
Answer:
20 games
Step-by-step explanation:
Given
Customers:
[tex]Rent = \$5[/tex] per game
Members:
[tex]Membership = \$50[/tex]
[tex]Rent = \$2.50[/tex] per game
Required
Determine number of games for both to be equal
Represent the number of games with g
For regular customers;
g games cost: [tex]5 * g[/tex]
For Members
g games cost: [tex]50 + 2.50 * g[/tex]
Equate both expressions:
[tex]5 * g = 50 + 2.50 * g[/tex]
[tex]5g = 50 + 2.5 g[/tex]
Collect like terms
[tex]5g -2.5g= 50[/tex]
[tex]2.5g= 50[/tex]
Solve for g
[tex]g = 50/2.5[/tex]
[tex]g = 20[/tex]