Answer:
Both Oscar and Kim will have enough to purchase the book.
Step-by-step explanation:
Oscar takes 30% of the normal price and subtracts it from the normal price. Out of 100% price he takes 30% so the result is: 100-30%= 70% of the normal price. Oscar's first step has the same result as Kim.
Oscar takes 10% of the discounted price (70%) and adds it back. The price will become 70% + 10%*70%= 77% of original price. Kim multiplies the discounted price with 110%, so the price will be: 70% * 110%= 77%. Both also give the same result.
The final price is 77% of the original, it will be: $28.50* 77%= $21.945
Oscar :
28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95
0.10(19.95) + 19.95 = 2 + 19.95 = 21.95
Kim :
0.7(28.50) = 19.95
1.10(19.95) = 21.95
Answer:
Both Oscar and Kim got the same amount and they both had enough money to buy the book.
Given that,
Oscar and Kim have money to spend at a book fair = $22
Discount for all the students = 30% = 0.30
They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax.
Book normally sells for = $ 28.50 + 10% sales tax
According to the question,
Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount.
28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95
0.10(19.95) + 19.95 = 2 + 19.95 = $21.95
Kim takes 70% = 0.7 of the normal purchase price and then computes 110% = 1.10 of the reduced price.
0.7(28.50) = 19.95
1.10(19.95) = $21.95
Hence, Both Oscar and Kim got the same amount and they both had enough money to buy the book.
Step-by-step explanation:
the base and height of a triangle are in the ratio 4:5 . if the area is 640 sq.cm find the the base and height
10. If 0 = tan-'1, find angle 0. Angle 0 is an acute angle.
Answer:
45°
Step-by-step explanation:
θ = arctan(1) = 45°
__
Make sure your calculator is in degrees mode.
_____
Additional comment
The tan⁻¹( ) function is the inverse tangent function. It can be read as "arctangent of ..." or "the angle whose tangent is ...". In spreadsheets and some calculators, it comes in two flavors: ATAN(x) and ATAN2(x, y). The latter is useful for finding the angle associated with a vector whose components are known, and that can be in any of the four quadrants.
Calculators will give an angle in degrees or radians according to the mode that is set. Spreadsheets always give the angle in radians. The range of a calculator tan⁻¹( ) or ATAN( ) function is -π/2 to π/2 radians, or -90° to 90°.
your paper airplane is launched from 25ft. it descends at a rate of 5ft per second. write an equation that represents the height y of your airplane after x seconds
Answer:
y= -5x + 25
Step-by-step explanation:
y = mx + b
m(slope) = descending 5ft/sec means the height will decrease so the slope must be negative
b(y-int) = starting height of 25 ft added
1) Solve for x (11 - 2*) 7 = 21
ok done. Thank to me :>
A group of pupils calculated their average score for a Mathematics
test. If one of them scored 9 marks more, their average score would
be 81. If one of them scored 3 marks less, their average score would
be 78. How many pupils were there in the group?
Answer: 4
Step-by-step explanation: +9-(-3)=12
81-78=3
so 12/3=4
what is the value of the 6 in 26,249?
Answer:
what is the value of the 6 in 26,249?
answer:321305
Step-by-step explanation:
Goran runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Answer:
he can run 4.2 miles
Step-by-step explanation:
rate=distance/time
6 miles/50min =3/25 miles per min
rate=distance//time
3/25=distance/35
3/25 * 35 =distance
4.2 =distance
HW
Due Tuesday, December 7, 2021
1. Tracy's is having a 25% off sale. Dana wants to buy a coat that has
an original price of $83. What is the sale price?
Answer:20.75 after sale
Step-by-step explanation:
25/100 of 83 is 2075
2075/100 = 20.75
BRAINLIEST!Because he holds a degree in environmental science, Jared is the environmental inspector for a company that manufactures Styrofoam. What is one task that Jared would perform as part of his job?
A.
Jared oils the large press that forms the Styrofoam.
B.
Jared makes a schedule for Styrofoam deliveries.
C.
Jared tests the air quality in the room where the Styrofoam is stored.
D.
Jared designs the assembly line for the factory.
Answer: I looked it up please give a brainliest if correct:
Step-by-step explanation: I looked it up y copying and pasting and thats probably what you should have done never hurts to try new ways a lot of people said D.
Answer:
I would say D.
Step-by-step explanation:
Please double check i don't want you to fail your quiz
A farmer feeds her four horses 64 bales of hay each week. How many
bales of hay would the farmer need in order to feed 8 horses for a week
128 Bales of hay
Step-by-step explanation:
Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128
X 2
___
128
Prime number after 167, 118, 82, 57, 41,
The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
Prime numbers are numbers that are divisible by 1 and itself.
This are number greater than one with only two factors which are 1 and itself.
In other words, this number, when they are divided by another number other
than 1 or itself , one will get a remainder that is not zero.
Example of prime numbers are 2, 5, 7, 11, 13 etc.
The prime numbers after 167, 118, 82, 57, 41 are as follows:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
learn more about prime number here: https://brainly.com/question/26013414
Identify the slope and the y- intercept, as a point (0,b), from the equation.
Y=2/5x-11
Slope -
Y-intercept -
Step-by-step explanation:
Given line:
y = 2/5x - 11Compare this with the slope-intercept form:
y = mx + bThe slope is:
m = 2/5Y-intercept is:
b = - 11As a point on the line it has coordinates (0, - 11)
Answer:
Hope this helps!
Step-by-step explanation:
The slope is:
m = 2/5
Y-intercept is:
b = - 11
The coordinates on the line are: (0, - 11)
Simplify 1/3 (5x-8)+2/3x
Answer:
7x-8
3
Step-by-step explanation:
Answer:
2 1/3x - 2 2/3
Step-by-step explanation:
1/3 x 5
1/3 x -8
and add 2/3x to the mix
so
1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h.
Which equation can be used to find the high temperature for that day?
56=h−14
56 = 14h
56 = h + 14
h + 56 = 14
Answer:10.9
Step-by-step explanation:
in an exam,Kianna scored 80% out of a total of 520 how may marks did she score?
Answer:
416
Step-by-step explanation:
you take 520 times .80
50 * 20 - 10 + 4 = ?
Answer: 994
Step-by-step explanation:
50 * 20 = 1000 - 10 = 990 + 4 = 994
Hailey is 4 more than twice her son Silas's age and 2 years younger than her brother Mark. Which equation shows Silas's age, S, in terms of Mark's age, M?
OS 2+2M
OS-6+4M
os-
OS-
Answer:
H = 2S+4
H = M-2
M-2 = 2S+4
M-6 = 2S
M-6/2 = S
The equation that shows Silas's age, S, in terms of Mark's age is
S = (M - 6)/2.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Silas's age = S
Mark's age = M
Hailey's age = H
Now,
H = 2S + 4
H = M - 2
This means,
2S + 4 = M - 2
2S = M - 2 - 4
2S = M - 6
S = (M - 6)/2
Thus,
Silas's age is (M - 6)/2.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
QUESTION 1
A conical cup is 4 cm across and 6 cm deep. Water leaks out of the bottom at the rate of 2 cm/sec. How fast (in cm/sec) is the water level dropping
when the height of the water is 3 cm?(Round your answer two (2) decimal places)
The water level will be dropping at the rate of [tex]0.64 cm/sec[/tex] when the height of the water reaches [tex]3cm[/tex]
We are give a cone with dimensions as seen in the diagram in the attached image.
The volume changes at the rate
[tex]\frac{dV}{dt}=-2cm^2/sec[/tex]
the negative sign is used because the volume of water is reducing.
what we need to know is the rate the height is changing when [tex]h=3cm[/tex]. That is, we need to evaluate
[tex]\frac{dh}{dt}|_{h=3cm}[/tex]
The relationship between the volume and the height is given by
[tex]V=\frac{1}{3}\pi r^2h[/tex]
but both [tex]h[/tex] and [tex]r[/tex] are changing when [tex]V[/tex] changes. So we need to eliminate [tex]r[/tex] somehow. From the diagram, we can use the similar triangle property to accomplish this
[tex]\frac{r}{2}=\frac{h}{6}\\\\\implies r=\frac{h}{3}[/tex]
substitute into the volume formula to eliminate [tex]r[/tex]
[tex]V=\frac{\pi h^3}{27}[/tex]
differentiate both sides with respect to time, [tex]t[/tex], since both the volume and height are functions of time. They will both be differentiated implicitly
[tex]\frac{dV}{dt}=\frac{\pi h^2}{9}\frac{dh}{dt}[/tex]
to find [tex]\frac{dh}{dt}|_{h=3cm}[/tex], substitute the values for [tex]\frac{dV}{dt}[/tex] and [tex]h[/tex]
[tex]-2=\frac{\pi 3^2}{9}\frac{dh}{dt}\\\\\frac{dh}{dt}=-\frac{2}{\pi}\\\\\approx -0.64 cm/sec[/tex]
So the rate at which the height is reducing when it reaches [tex]3cm[/tex] is [tex]0.64cm/sec[/tex]
Learn more about related rate of change here: https://brainly.com/question/15576763
Which is the equation of a parabola with Vertex (0,0) and directrix x=-2?
Answer:
y^2 = 8x
or
x = 1/8 y^2.
Step-by-step explanation:
The general form for this type of parabola is
y^2 = 4ax where the focus is at (a, 0) and the directrix is x = -a
So the equation is y^2 = 4*2x
that is y^2 = 8x.
Find the value of x,y, and z. Simplify the radical
Answer: This question is incomplete. I need an expression.
Please look at picture for question.
Answer:
A 1.5
B -1/3
C -4/3
Step-by-step explanation:
I solved this by remembering...
numbers above 0 are positive
-1/3 is greater than -1
-4/3 means -1 AND 1/3 so this is less than -1
A = 1.5 (+ve value, upwards)
B = -1/3 (-ve value, downwards)
C = -4/3 (-ve value, downwards)
A = 1.5 (lies in between +1 & +2)
B = -1/3 (-0.33 lies in between 0 & -1)
C = -4/3 (-1.33 lies in between -1 & -2)
See the attached picture for more details.
______
Hope it helps ⚜
The ration of boys to girls in the classroom is 5 to 7 if there are 35 girls then how many boy are there construct a tape diagram to demonstrate
Answer:
5+7=12-35=-23
Step-by-step explanation:
(x3 + 9x2 + 1)(3x2 + 4x − 4)
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students?
PLSS
It’s number 5 what is the domain and range plz help urgent
Answer:
Domain: -2,-1,0,3 Range: -2,-1,0,3
Step-by-step explanation:
The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)
a plumber receives $72 an hour. how much is she paid for 20 hours of work?
Answer:
$1440
Step-by-step explanation:
$72/hour
For 20 hours, she receives
20 hours × $72/hour = $1440
Describe how to find your x-intercepts ?
Types of Angle Relationships
Listen
Question
If two angles are supplementary, then the sum of their measures is _[blank] degrees.
Question
ol
What number correctly fills in the blank in the previous sentence?
Question
Enter your answer as a number, like this: 42
а
Answer: The answer is 180°.
Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.
13/83.2, I have the answer but not the work
Answer:
6.4 is the correct answer
Which relation is also a function? {(2,0), (3,2), (2,3)} {(0,0), (3,0), (5,0)} {(3,1), (3,2), (3,3)} {(5,2), (5,4), (2,6)}
Answer:
only{(0,0), (3,0), (5,0)} (the x axis)
Step-by-step explanation:
as all the others have more than one possible output y for a unique input x
