72 - 45 = 27
Samantha took 27 coins. She took 3 dimes, 2 nickels and all but 1 penny, so 7 pennies. This is 12 coins. The rest must be quarters. 27 - 12 = 15 quarters.
15 x 0.25 = 5.25
The value of the quarters that Samantha took is $3.75.
Hope this helps!
fx) = x2 - 8x + 15
g(x) = x-3
h(x) = f(x)/g(x)
Answer: [tex]\Large\boxed{h(x)=x-5}[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppp\displaystyle\ \Large \boldsymbol{} h(x)=\frac{f(x)}{g(x)} =? \\\\\\f(x)=x^2-8x+15\\\\\\x^2-8x+\underbrace{15+1-1}_{15}=0 \\\\\\\underbrace{x^2-8x+16}_{(x-4)^2}-1=0 \\\\\\(x-4)^2-1\Longrightarrow f(x)=(x-5)(x-3)[/tex] [tex]\displaystyle\ \Large \boldsymbol{} h(x)=\frac{(x-3)(x-5)}{(x-3)}=\boxed{x-5}[/tex]
Determine the percent of change. Round to the
nearest whole percent if necessary. State whether the
percent of change is an INCREASE or DECREASE.
Original: 250
New 100
Pls help
Answer:
DECREASE
Step-by-step explanation:
Not sure
But Hope It Help
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
Answer:
Step-by-step explanation:
I am going to assume that you are doing this on your calculator using the stat button as opposed to having to find it by hand which is so extremely long and drawn out, you'd be dead by the time we found the equation...
The equation of the line of best fit is
y = 1.383x - 1.526
I would explain to you how to do that, but it's a very involved process on your calculator. Find out how to do it and it's the easiest thing in the world!!!
The required equation of the line is y = 0.667x + 2.334
From the table given equation of the line is determined.
x = 4 7 10 12 13
y = 5 7 12 14 18
A line is a curve showing the shortest distance between 2 points.
Standard equation of line, y =mx + c
The slope of equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and c is y intercept.
m = 7-5/7-4
m = 2/3
Now put m in the standard equation
y = 2x/3 + c - - - - -(1)
to find the value of c we will put a point (7, 7) in the equation.
7 = 7*2/3 + c
c = 7 - 14/3
c = (21-14)/3
c = 7/3
Put c in equation 1
y = 2x/3 + 7/3
y = 0.667 x +2.334
Thus, The required equation of the line is y = 0.667 x +2.334
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The exterior angles of a hexagon are 56º, 730, 2xº, 3x°, 4x° and 5xº.
Find the value of x.
Answer:
x = 16.5
Step-by-step explanation:
im assuming you meant 73 degrees instead of 730.
56+73 = 129
2x+3x+4x+5x = 14x
360-129 = 231
231 = 14x
231/14 = 16.5
x = 16.5
What is the answer hellllp
Rewrite 13/5 as 26/10
Add the two pieces together:
26/10 + 33/10 = 59/10
Rewrite 7 meters as 70/10
Subtract the two pieces:
70/10 - 59/10 = 11/10 meter left
Brian rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is prime
The sum of the faces is going to fall in the range {2, 3, 4, …, 12}, which contains five prime numbers {2, 3, 5, 7, 11}. You can only have one sum at a time, so these outcomes are mutually exclusive. Then
Pr[sum is prime] = Pr[sum = 2] + Pr[sum = 3] + … + Pr[sum = 11]
• sum = 2 can only happen in 1 way (1 + 1)
• sum = 3 can happen in 2 ways (1 + 2, 2 + 1)
• sum = 5 can happen in 4 ways (1 + 4, 2 + 3, 3 + 2, 4 + 1)
• sum = 7 can happen in 6 ways (1 + 6, 2 + 5, …, 6 + 1)
• sum = 11 can happen in 2 ways (5 + 6, 6 + 5)
There are a total of 6² = 36 possible sums that can be rolled, each with probability 1/36 of occurring, so the probability of getting a prime sum is
(1 + 2 + 4 + 6 + 2)/36 = 15/36 = 5/12
find the area to this question
Answer:
170.54m²
Step-by-step explanation:
there are three shapes
triangle: is 1/2*3*5=7.5
square is 6*5=30
circle=3.14*6²=133.04
7.5+30+133.04=170.54
answer is 170.54
please help with geometry
2) John saved $5 in the first week of a year and then increased her weekly
savings by $1.75. If the nth week, her weekly savings become $20.75, find n.
Answer:
n = 9
Step-by-step explanation:
20.75 = 1.75n + 5
20.75 - 5 = 1.75n
15.75 = 1.75n
------- -------
1.75 1.75
9 = n
Question 4 of 10
Solve the triangle. Round your answers to the nearest tenth.
What is the solution to the system of equations graphed below? A (2, 5) B(-5, -3) C(0, 4) D(1, 1)
it's def c because that's where the intersection is, which is the solution (there is only one solution)
What is the solution to the system of equations? y=3x+1 y=-2x-4
Answer:
(-1,-2)
Step-by-step explanation:
The solution is where the two lines intersect
The graphs intersect at x=-1, y=-2
(-1,-2)
Answer:
D
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 2 ) ← solution
HELP BRAINIST AND POINT
Answer:
90 degrees
Step-by-step explanation:
general Pythagoras
c² = a² + b² - 2ab×cos(ABC)
with c being the side opposite of the angle ABC.
c = AC
a = AB
b = BC
(0-15)² + (0-0)² = (0-9.6)² + (0-7.2)² + (9.6-15)² + (7.2-0)² - 2×sqrt((0-9.6)²+(0-7.2)²)×sqrt((9.6-15)²+(7.2-0)²)×cos(ABC)
225 = 92.16 + 51.84 + 29.16 + 51.84 - 2×12×9×cos(ABC)
225 = 144 + 81 - 216×cos(ABC)
225 = 225 - 216×cos(ABC)
0 = cos(ABC)
ABC = 90 degrees
Help please I don’t understand this
Answer:
x=-2
sorry i messed up coord val :/
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
a parabola is symmetric (has a mirror image)
a parabola has ONE vertex (a highest or lowest point).
thus a line that goes through the vertex is it's axis of symmetry.
x = 5 , x=99, x=102 are vertical lines that intersect the x axis no matter what the y value is....
your axis of symmetry is a line that looks like X= SOMETHING
the "something" is the X value of the vertex, which is (-2,3)
this the equation x = -2 is the answer ... see the image
i need help i can't get the right answer
Answer:
x = 50
Step-by-step explanation:
I guess, this diagram tells us that the lines are parallel.
that means that they cut the third line at the exact same angles.
and that means
3x - 26 = 2x + 24
x - 26 = 24
x = 50
3x-26=2x+24
3x-2x=24+26
x=50
please mark this answer as brainlist
which of the following is not an outcome for JUK ?
Answer:
it would be B
Step-by-step explanation:
Solve for x
Need help asap
Answer:
x = 46
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal.
2x+4 = 4x-88
Subtract 2x from each side
2x+4 -2x= 4x-2x-88
4 = 2x-88
Add 88 to each side
4+88 = 2x
92 = 2x
Divide by 2
92/2 = 2x/2
46=x
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2x + 4 = 4x - 88}[/tex]
[tex]\huge\textsf{SUBTRACT 4x to BOTH SIDES}[/tex]
[tex]\mathsf{2x - 4 - 4x = 4x - 88 - 4x}[/tex]
[tex]\textsf{CANCEL out: 4x - 4x}[/tex]
[tex]\huge\textsf{NEW EQUATION: -2x + 4 = -88}[/tex]
[tex]\huge\textsf{SUBTRACT 4 to BOTH SIDES}[/tex]
[tex]\mathsf{-2x + 4 - 4 = -88 - 4}[/tex]
[tex]\textsf{CANCEL out: 4 - 4}[/tex]
[tex]\textsf{KEEP: -88 - 4 because it gives you the value of -92 (which helps you solve for}\\\textsf{the x-value)}[/tex]
[tex]\mathsf{-2x = -92}[/tex]
[tex]\huge\textsf{DIVIDE -2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-2x}{-2}=\dfrac{-92}{-2}}[/tex]
[tex]\textsf{CANCEL out:} \mathsf{\dfrac{ -2}{-2}}[/tex]
[tex]\textsf{KEEP: }\mathsf{\dfrac{-92}{-2}}\textsf{ because it gives you the answer of x }[/tex]
[tex]\mathsf{\bf x = 46}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: x = \bf 46}^\circ}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
when a pen is sold at a discount of 15%.There is a gain of rs 10.But if it is sold at 25% discount there is a loss of rs 2.Find the Mark price of the pen.
The mark price of the pen is 120 rs
The first step is to write out the parameters given the question
Discount= 15%
Gain= rs 10
Discount= 15%
loss= rs
When a pen is sold at a discount of 15% there is a gain of rs 10
When the pen is sold at 25% discount there is a loss of rs 2
The mark price of the pen can be calculated as follows
15% = c.p + 10 rs
25 % = c.p - 2 rs
25%-15% = 10 rs +2 rs
10% = 12 rs
10/100 = 12 rs
0.1= 12 rs
12/0.1
= 120 rs
Hence the mark price of the pen is 120 rs
Please see the link below for more information
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Mark Price: RS. 120
The Gain Function is the difference between Resulting Price, which is the Mark Price including Discount Rate, and the Reference Price, where positive result represents Net Gain, as negative result represents Net Loss. Gain Function is described below:
[tex]G = \left(1-\frac{r_{D}}{100} \right)\cdot P_{M}-P_{R}[/tex] (1)
Where:
[tex]G[/tex] - Gain function, in monetary units.
[tex]r_{D}[/tex] - Discount rate, in percentage.
[tex]P_{M}[/tex] - Mark price, in monetary units.
[tex]P_{R}[/tex] - Reference price, in monetary units.
The Mark Price of the pen is the price shown on the label of the product, whereas the Reference Price is the purchase cost of the product from provider.
Based on what it is written on statement we have the following system of linear equations:
1) When a pen is sold at a discount of 15 %. There is a gain of RS. 10: ([tex]G = 10[/tex], [tex]r_{D} = 15[/tex])
[tex]\left(1-\frac{15}{100} \right)\cdot P_{M} - P_{R} = 10[/tex] (2)
2) But if it is sold at 25 % discount there is a loss of RS. 2: ([tex]G = -2[/tex], [tex]r_{D} = 25[/tex])
[tex]\left(1-\frac{25}{100} \right)\cdot P_{M} - P_{R} = -2[/tex] (3)
The solution of the resulting system of linear equations is:
[tex]P_{M} = 120[/tex], [tex]P_{R} = 92[/tex]
The mark price of the pen is RP. 120.
Calculate the sum of the first 30 terms in the sequence that begins with 70,65,60
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70 \ ; \ d=-5 \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75[/tex]
consider the lines and the transversal drawn in coordinate plane below.
Answer:
i dont know man
Step-by-step explanation:
i dont know
state the y-intercept of the line y = 3x -7
Answer:
-7
Step-by-step explanation: kahn
Answer:
(0,-7)
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 3x-7
The slope is 3 and the y intercept is -7
(0,-7)
Finding angle measures given two intersecting lines
Answer:
66, 114, 114
Step-by-step explanation:
angle 3=angle 1=66
angle 2=angle 4=180- angle 3=114
Which of the following is the ordered pair for point E?A.(2,-4)
B.(-2,-4)
C.(4,-2)
D.(-2,4)
E.(2,4)
F.(4,2)
Answer:
its (-2,4)
gimme brainliest plz :)
Step-by-step explanation:
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
112
Step-by-step explanation:
The volume is given by l*b*h=4*4*7=112
What is the domain of the function y=2.VX-6?
-00
0
3
6
Answer:
7675
Step-by-step explanation:
f76r87fgvbhdty
The domain of the function y=2.√(x-6) is all real numbers greater than or equal to 6.
What is a domain?The domain of the function is defined as the set of all the possible values of the function.
The square root function can only take non-negative values, so the expression inside the square root must be greater than or equal to zero:
x - 6 ≥ 0
To calculate the domain of a function, you need to determine the set of all possible input values (also known as the independent variable) that the function can accept and produce a valid output value (also known as the dependent variable). Here are the general steps to find the domain of a function:
Solving for x, we get:
x ≥ 6
Therefore, the domain of the function y=2.√(x-6) is all real numbers greater than or equal to 6. In interval notation, we can write the domain as [6, ∞).
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What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for pie.
Answer:
18.84
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
Help Now Please Find the surface area sphere
Answer:
900pi
Step-by-step explanation:
formula for sphere's surface area :
4πr^2
radius = 15 (30/2)
4*pi*15^2 = 900pi
Answer:
The surface area is 2827.43
Step-by-step explanation:
This is the formula:
A= 4 π r^2= 4· π· 15^2 = 2827.43339
Hope this helps you!
Trey took 5/4
hours to clean the bedroom. He took1/2
hours to clean the den. How much longer did it take Trey to clean the bedroom?
Write your answer as a mixed number in simplest form.
Answer:
3/4 more hours
Step-by-step explanation:
Hours taken to clean bedroom = 5/4
Hours taken to clean den = 1/2
How much more = 5/4 - 1/2
5-2/4 (common denominator)
3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)
Answer from Gauthmath
Based on the information from both charts, which other country does Russia compare most closely to? Brazil Mexico Japan Uganda
Answer: C-Japan
Step-by-step explanation:
on edge
Russia compares most closely to Brazil, except in Population growth rate, where it scored negative with Japan.
What is the growth rate?Growth rates refer to the percentage change of a specific variable within a specific time period.
Russia has a negative population growth rate of 0.02% and Japan's -0.10%. It has a Fertility Rate of 1.61% comparable to Japan's 1.39%, though its fertility rate of 1.39% and life expectancy of 70 years are most closely matched to Brazil's 1.8% and 73 years respectively. However, you can more closely match Russia to Brazil in two indexes.Demographic information contains the statistics about countries' populations, especially with reference to size, density, distribution, and vital statistics (births, marriages, deaths, life expectancy, fertility rate, etc.).Hence, Russia compares most closely to Brazil, except in Population growth rate, where it scored negative with Japan.
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3) Solve the System of Equations using Elimination/Combinations. (5 points)
-2x-y=-4
x+2y=5
Please explain how u did it… thanks! <3
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
- 2x - y = - 4 → (1)
x + 2y = 5 → (2)
Multiplying (2) by 2 and adding result to (1) will eliminate x- term
2x + 4y = 10 → (3)
Add (1) and (3) term by term to eliminate x
0 + 3y = 6
3y = 6 ( divide both sides by 3 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(2) = 5
x + 4 = 5 ( subtract 4 from both sides )
x = 1
solution is (1, 2 )
