Answer: n = 75; p = 30
Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.
(b) 10p + 3n = 525
We can use the elimination method to solve these two equations.
1. Multiply the first equation by 2 so that 10p will cancel out:
2(5p + 4n = 450)
- 10p + 3p = 525
10p + 8n = 900
- 10 p + 3n = 525
5n = 375
2. Divide by 5 to get n alone: n = 75
3. Plug 75 into the first equation: 5p + 4(75) = 450
5p + 300 = 450
4. Subtract 300 from 450: 5p = 150
5. Divide by 5 to get p alone: p = 30
We can test if this is correct by plugging our answers into the second equation:
10(30) + 3(75) = 525
300 + 225 = 525
525 = 525
This is a true statement, which means that our answers are correct.
Somebody please help.
BRAINLIEST + 10 POINTS
Answer:
area- 628
circumference- 62.8
for graph f what is f(0)?
Answer:
2
Step-by-step explanation:
The function shows a point at 2 where x = 0.
The students in Ms. Dodd's class recorded the height in feet of palm trees on school property. Their heights were as follows:
32, 33, 34, 35, 37, 37, 38, 38, 39, 40, 42, 42, 43, 44, 44, 45, 45, 45, 47, 50
Which measures of center best represent the height of the palm trees?
A. mean or mode
B. mean or median
C. mode or median
D. mean, mode, and median
Answer:
B
Step-by-step explanation:
draw the graph of 4x-3y=0
Answer:
Slope is 4/3 and y intercept is (0,0)
Step-by-step explanation:
y = x^2 - 4x + 4
Find the discriminant.
Determine the number
of real solutions.
Answer:
The discriminant is 0
There is 1 real solution
Step-by-step explanation:
Use the discriminant formula, D = b² - 4ac
In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.
Plug in these values into the formula:
D = b² - 4ac
D = (-4)² - 4(1)(4)
D = 16 - 4(4)
D = 16 - 16
D = 0
So, the discriminant is 0.
With a discriminant of zero, there is one real solution.
So, the number of real solutions is 1.
can someone PLEASE please help me?? i really need it!
Find j.
Write your answer in simplest radical form.
Answer:
10
Step-by-step explanation:
tan30°=P/B
tan30°=P/10√3
1/√3=P/10√3
1/√3×10√3=P
.:P=10
j = 10
Step-by-step explanation:
use the definition of tangent of an angle:
tan 60 = opp/hyp = (10√3)/j
Solving for j,
j = (10√3)/tan 60
But tan 60 = √3 so we can write j as
j = (10√3)/√3
= 10
write an expression equivalent to -4(x+3)-12x+5 that only has two terms
Answer:
-16x-7
Step-by-step explanation:
you distribute the -4, then combine like terms, that is about it, here is a picture of everything i did
A circle has a diameter of 8 meters. What is the circumference? Use 3.14 for Pi. Show your work.
Answer: 50.27 m
Step-by-step explanation:
[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]
Hope this helped! ;)
The circumferance of the given circle is C = 8π.
What is a circle?A circle is a shape consisting of all points in a plane that are at a constant distance from a given point called the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.The general form of the equation of a circle is:x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is -(x - x₁)² + (y - y₁)² = r²
The parametric equation of circle can be written as -x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y = - k + rsinθ.
Given is a circle that has a diameter of 8 meters.
We can write the circumferance of the circle as -
C = 2πr
C = 2π (d/2)
C = 2π (8/2)
C = 8π
Therefore, the circumferance of the given circle is C = 8π.
To solve more questions on circle, visit the link below -
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PLEASE HELO PRE CALC PEOPLE
Use these parametric equations to answer the question below.
x=t-2
y=t^2
The order pair associated with t-value of -1 is?
Answer:
The ordered pair associated with a t-value of -1 is (-3, 1).
Step-by-step explanation:
Substitute the t-value, or -1, into both of the equations to find the pairs.
x = t - 2
x = (-1) - 2
x = -3
y = t^2
y = (-1)^2
y = 1
The ordered pair associated with a t-value of -1 is (-3, 1).
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
a
Step-by-step explanation:
Answer:
The answer would be A .......
What is the midpoint between the two points (2,0) & (6,-2) *
Answer:
( 4, -1 )
Step-by-step explanation:
Gage Millar, Algebra 2 tutor
(2,0) -> (6, -2) requires a transition of (+4, -2) now we divide the new number by 2 to find the amount changed from each side (+2,-1) then we add that to the original point (2,0) to get (4,-1)
the sum of two numbers is 57. if one of the numbers is (y+5) find the other number
Answer:
31
Step-by-step explanation:
x+y = 57
x = y+5
=>
y + 5 + y = 57
=> 2×y + 5 = 57
=> 2×y = 52
=> y = 26
=> x = 26 + 5 = 31
What is the solution to 2 x minus 8 less-than 12?
Answer:
X less than 10
Step-by-step explanation:
The problem is set up 2x - 8 < 12
So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10
Answer:
x< or = 9
Step-by-step explanation:
if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.
2(10)-8=12 but
2(9)-8=10
I really hope this helps, i am sorry if i misunderstood the question....
Madison used 4 pears and 12 apples to make a fruit salad. What is the ratio of the
number of pears to the number of apples in the fruit salad? (Simplify your answer)
Shelby asked 15 friends to name their favorite ice-cream flavor.
If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is either strawberry or vanilla?
Answer:2/5
Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5
A. What are the coordinates of the vertices of the triangle below?
B. Find each side length.
C. Classify the figure. Use coordinate geometry (i.e. Pythagorean Theorem, distance formula,
slope formula, etc.) and properties of triangles to justify your response.
Answer:
Solution given:
A.coordinate are
A(-2,3)
B(0,-3)
C(4,5)
B.Each length are :
we have
length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]
now
AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units
AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
C. the figure:
By using Pythagoras law
base[b]=AB=perpendicular [p]=AC
hypotenuse [h]=BC
we have
h²=p²+b²
substituting value
([tex] 4\sqrt{5} [/tex])²=2p²
16*5=2*([tex] 2\sqrt{10} [/tex])²
80=2*4*10
80=80
SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.
Leanne invested $85,000 in a partnership with Pete. The total investment of both partners was $340,000. What percent of the business does Leanne own?
Which of the following statements describe the path of the baseball? Select all that apply
Answer:
Did you find It because I need it so can you reply please
Step-by-step explanation:
HELP PLS !!!!!!!!!!!
Answer:
D
Step-by-step explanation:
HELPP ASAP
Consider this equation
cos(0)=-3/10
If 0 is an angle in quadrant II, what is the value of tan (0)
square root 91 / 10
square root 91/ 3
square root - 91/10
or square root - 91/3
Answer:
square root -91/3
Step-by-step explanation:
just took the test
The right option is missing. The correct answer is tan(0) = -(√91)/3.
The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.
What are trigonometric functions?The values of all trigonometric functions dependent on the value of the ratio of sides of a right-angled triangle are known as trigonometric ratios. The trigonometric ratios of a right-angled triangle's sides about any of its acute angles are known as that angle's trigonometric ratios.
The three sides of the right-angled triangle are:
Hypotenuse (the longest side)
Perpendicular (opposite side to the angle)
Base (Adjacent side to the angle)
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
The trigonometry ratios for a specific angle ‘θ’ is given below:
Trigonometric Ratios:
Sin θ = Perpendicular/Hypotenuse
Cos θ = Base/Hypotenuse
Tan θ = Perpendicular/Base or Sin θ/Cos θ
Cot θ = Base/Perpendicular or 1/tan θ
Sec θ = Hypotenuse/Base or 1/cos θ
Cosec θ = Hypotenuse/Perpendicular or 1/sin θ
What is Pythagoras theorem?According to the Pythagoras theorem, we can say that in a right-angled triangle:
Hypotenuese² = Base² + Perpendicular²
How do we solve the given question?We are given cos(0) = -3/10, 0 being an obtuse angle (90° < 0 < 180°, since 0 is an angle in quadrant II)
We need to remember that in quadrant II, sine is always positive, cosine is negative, and tangent is also negative.
We are asked to find the value of tan(0).
We know cos(0) = Base/Hypotenuse.
So we let the hypotenuse be 10k, and let the base be 3k. Let the perpendicular be p.
By Pythagoras' Theorem,
Hypotenuese² = Base² + Perpendicular²
or, (10k)² = (3k)² + p²
or, 100k² = p² + 9k²
or, p² = 100k² - 9k² = 91k² = (k√91)²
or, p = k√91
Now, we can find the value of tan(0):
tan(0) = Perpendicular/Base = -(k√91)/3k = -(√91)/3
(Negative value taken as tan is negative in quadrant II)
∴ The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.
Learn more about trigonometric expressions at
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here are four fractions 2/5 11/30 1/2 7/15 write these fractions in order of size start with the smallest fraction
Answer:
11/30, 2/5, 7/15, 1/2
Step-by-step explanation:
2/5= 0.4
11/30= 0.36
1/2= 0.5
7/15= 0.46
simplify. please do it now i need help
Answer:
1/243 or 0.00411522…
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
[tex]\sf\implies{ \angle RSU + \angle USV = 90 \degree }[/tex]
[tex]\sf\implies{ (4x-15) + 20 = 90 }[/tex]
[tex]\sf\implies{ 4x-15+20=90}[/tex]
[tex]\sf\implies{4x+5=90}[/tex]
[tex]\sf\implies{4x=90-5}[/tex]
[tex]\sf\implies{4x=85}[/tex]
[tex]\sf\implies{x={\dfrac{85}{4}}}[/tex]
[tex]\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}[/tex]
[tex]\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}[/tex][tex]\sf{ {\underline{\underline{\color{gold}{\sf{\pmb{x=21.25}}}}}}}[/tex]calculate the kinetic energy of a man of mass, 50kg moving with an average speed of 15m/s
Please I will give BRAINLEST IF CORRECT
What is 0.06% off of the original price 15.00
Answer:
0.009......sushhd
Step-by-step explanation:
14.991.....djdjsj
Please help!!!!!!!!!!ASAP!!!
In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC
Answer:
Its D!
Step-by-step explanation:
all you have to do for the triangles to be simialr is they have to add up to the same number.
In triangle abc ma=70 and mb=35 add those gives you 105
and in triangle mnp and M<N =70 which also gives you 105
since u get the same answer their similar!
Hope this helps!
Jaya has 26 hockey cards. Jaya has 1 fewer than 3 times the number her brother, Kumar has. How many cards does Kumar have? Form an algebraic equation and solve this question.
Answer:
The correct answer to the problem is 9
Step-by-step explanation:
3 x- 1 = 26
3 x = 27
x = 9
how can you find the area of a polygon that is not one which you know an area formula.
Answer:
You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together.
Its pretty simple once you understand it
dont be afraid to ask me if you need some help.
Have a wonderfull day
Ben says this system of equations has one solution. Is he correct? Explain. Choose the correct answer below. A. Ben is correct. Since the equations have the same slope, the system has exactly one solution. B. Ben is correct. Since the equations have the same slope and different y-intercepts, the system has exactly one solution. C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution. D. Ben is incorrect. Since the equations have the same slope, the system has infinitely many solutions.
Answer:
C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution
Step-by-step explanation:
From the given options the parameters of the equations are;
The slope of the equations are the same
The y-intercept of the equations are different
Therefore, the lines of the two equations ae parallel and there are no points of intersection of the two equations and therefore no solutions
The best correct option is therefore option C.;
C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution.