Stefan sells Jin a bicycle for $176 and a helmet for $16. The total cost for Jin is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Step-by-step explanation:
Given that:
Selling price of bicycle = $176
Selling price of helmet = $16
Total price = 176+16 = $192
This is 160% of what Stefan paid originally.
Let,
x be the original amount paid by Stefan.
160% of x = 192
[tex]\frac{160}{100}x=192\\1.6x=192[/tex]
Dividing both sides by 1.6
[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]
Original amount paid by Stefan = $120
Profit = 192 - 120 = $72
Hence
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)
Answer:
11) 4/11
12) -0.2
Step-by-step explanation:
In a box there are 9 action, 12 Disney, 8 horror, 11 mystery and 4 SciFi movies. What is the probability of selecting horror or mystery movie?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999
Answer:
The answer to the question provided is 0.432.
Can y’all help me? I think it’s the last one but I’m not sure
PLS HELP Write an equation for an ellipse centered at the origin which has foci at (0,-+15) and a vertices at (0,-+25)
Answer:
c
Step-by-step explanation:
Help me out with this (geometry)
Answer:
a .30 degrees
plz mark as brainliest
please help me with this
Answer:
0.6
Step-by-step explanation:
add 0.1 to 0.5 giving you 0.6
the rest are 0.7, 0.8, 0.9,
hope this helps! <3
The market is located at point (−3, −2) on the coordinate graph.
The barber shop is 6 units to the right and 5 units up from the market.
Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.
Answer:
(2,4)
Step-by-step explanation:
14k²+49k+21 factorise
Answer:
(2k+1)(k+3)
Step-by-step explanation:
14k²+49k+21
simplify by dividing the whole equation by 7
2k²+7k+3
factorise
(2k+1)(k+3)
Write the fraction 12/28 in simplest form
Answer:
3/4
Step-by-step explanation:
divide each by 2
28/2 = 14
12/2 = 6
14/2 = 7
6/2 = 3
therefore 3/7
Two bookstores are having a sale on comic books. Main Street Books has a deal of 10 for $5.20 and Books Galore has a deal of 6 for $3.60. Which store is offering the lowest unit price?
Answer:
Books Galore has the lowest unit price
Step-by-step explanation:
if you divide main streets books, 10 ÷ $5.20 = $1.92
Books galore : 6 ÷ $3.60 = $ 1.66
Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)
Answer:
10
Step-by-step explanation:
When lit, a candle loses 8% of the unlit candle every hour. Janet lit a candle with an
original height of 5 inches.
38
hours, the
Until the candle has been burning for at least
height of Janet's candle will be more than 4 inches.
Answer: 2.5 hours
Step-by-step explanation:
Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?
Answer:
1.17 x 10^2
Step-by-step explanation:
Im pretty sure its right
10. Find the slope between the points (3,0) and (2, 4).
Answer:
slope = -4
Step-by-step explanation:
slope formula is
slope = y2-y1/x2-x1
as we know that from the question x1 = 3 , y1 = 0
and x2 = 2 , y2 = 4
then put these equation in the slope formula and we get slope which is equal to (-4)
Write an equation in slope intercept form of the line that passes through the given points (-3, 3) and (1,2) HELP
Answer:
The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
Step-by-step explanation:
❃Incase you forgot what the slope-intercept formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆ First: We are going to be solving for the slope.
[tex]m = \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]
☆Second: We are going to find the y-intercept.
[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]
☆Third: Plug in.
[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
What inequality is true
Answer:
I'm pretty sure it c because pie is 3.14 and that time 3 would be a little over 9
Here another oneeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
DAMMMMM U KNOW ME TOO WELLL
Step-by-step explanation:
Answer:
the anime is fire force
Step-by-step explanation:
In Year 198 of the Solar Era in Tokyo, Special Fire Force's are fighting against a phenomenon called Spontaneous Human Combustion where humans beings are turned into living infernos called “Infernals.” While the Infernals are First Generation cases of spontaneous human combustion
Is the relation a fun? Why
Answer:
the answer is yellow one
Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25
Answer:
1) Yes
2) No, this polynomial has complex roots
3) No, this polynomial has irrational roots
Step-by-step explanation:
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
What is Function?
A relation between a set of inputs having one output each is called a function.
Functions are given as;
f (x) = 4x² - 25
g (x) = 4x² + 25
h (x) = 3x² - 25
Now,
a. f (x) = 4x² - 25
To find the roots we can set up 0,
f (x) = 4x² - 25 = 0
4x² - 25 = 0
4x² = 25
Divide by 4,
x² = 25/4
Take square root both side,
x = √25/4
x = ±5/2
Thus, The function has rational roots.
So, Rational roots theorem provide a complete list of all roots.
b) g (x) = 4x² + 25
To find the roots we can set up 0,
4x² + 25 = 0
4x² = - 25
Divide by 4,
x² = - 25/4
Taking square root,
x = √-25/4
x = ±5i/2
Thus, The function has complex roots.
So, Rational roots theorem does not provide a complete list of all roots.
c) h (x) = 3x² - 25
To find the roots we can set up 0,
3x² - 25 = 0
3x² = 25
Divide by 3,
x² = 25/3
x² = 8.333
Take square root both sides,
x = √8.333
x = ±2.89
Thus, The function has irrational roots.
So, Rational roots theorem does not provide a complete list of all roots.
Therefore,
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
Learn more about the rational root theorem visit:
https://brainly.com/question/25216212
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In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.
Answer:
15.4
Step-by-step explanation:
cos A = b^2 + c^2 - a^2 / 2bc
cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)
cos X = 17953 / 18620
cos X = 0.964
X = cos^-1 (0.964) = 15.38 = 15.4
If one line has a slope of -2/5 what would be the slope
of a line perpendicular to that line?
Answer:
The slope of the line perpendicular would be 5/2.
Step-by-step explanation:
It would be 5/2, because it is considered a negative reciprocal.
Which Fraction(s) is equivalent to 3/12
3/10 1/4 1/2 2/5 4th grade IXL
Answer:
3/12= 4/16
1/4= 2/8
1/2= 3/6
2/5= 4/10
there are other possible answers but these are just ones i know
Help plz:)))I’ll mark u Brainliest
Answer: The answer is 10
Pls help meeeeeeee pls pls pls
Answer:
D. [tex]\frac{4x^{2} \sqrt{29}}{29}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex]
divide by the common factor to have;
[tex]\frac{4\sqrt{x^{12} } }{\sqrt{29x^{8} } }[/tex] = [tex]\frac{4(x^{12}) ^{\frac{1}{2} } }{(29x^{8}) ^{\frac{1}{2} } }[/tex]
= [tex]\frac{4x^{6} }{\sqrt{29}x^{4} }[/tex]
= [tex]\frac{4x^{2} }{\sqrt{29} }[/tex]
Rationalize the denominator, we have;
[tex]\frac{4x^{2} }{\sqrt{29} }[/tex] x [tex]\frac{\sqrt{29} }{\sqrt{29} }[/tex]
So that,
[tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
Thus,
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex] = [tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
The correct option is D.
2 people work together take 5 hours to lay floors. How many hours does it take for 6 people to lay floors
Answer:
It takes ( hours for 6 people to lay floors
Step-by-step explanation:
2=5 divide it and for one person it would take 1 1/2 so then times 1 1/2 by 6.
Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function
Answer:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
Step-by-step explanation:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
The following information should be considered:
Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.learn more: https://brainly.com/question/834969?referrer=searchResults
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost?
Answer:
Shirt: $7.5
Sweater: $17.5
Step-by-step explanation:
25/2=12.5
Shirt is 5 less than Sweater
12.5-5=7.5
Add 5 to sweater cost
12.5+5=17.5
Shirt=7.5 Sweater=17.5
17.5+7.5=25
You borrow $5000 from the bank at %3 annual interest compounded monthly. The monthly payment is $250z What is the balance after the third payment.
Answer:
it should be $100,000
Step-by-step explanation:
a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
[tex]\huge\underbrace\red{Answer}[/tex]
Given :- Side of the square field = 70mLength of the rectangular field = 90mBreadth of the rectangular field = 60mTo Find :- Perimeter of the square fieldPerimeter of the rectangular fieldSolution :-Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
Hence, A Person runs 280m around a Square fieldPerimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
Hence, A Person runs 300m around a rectangular fieldDifference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field
By substituting values,
⇒ 300m - 280m
➠ 20m
Hence, The person runs more around a rectangular field by 20m