Answer:
one part = 20.5
the other part = 61.5
Step-by-step explanation:
let one part = x
let another part = y
(1) create two equations
i) 82 is separated into 2 parts, x and y. it means x plus y equals to 82
x+y = 82
ii) one part is bigger than the other. if x is the bigger part, it is 3 times bigger than y
x = 3y
(2) use substitution method to find the value of x and y
x+y = 82 -------- (1)
x = 3y ---------- (2)
substitute (2) into (1)
x+y = 82
3y+y = 82
4y = 82
y = 82/4
y = 20.5
substitute y = 20.5 into (2)
x = 3y
x = 3(20.5)
x = 61.5
What are the coordinates of the orthocenter of LMN ?
Answer:
a (1, 2.5)
Step-by-step explanation:
When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center. Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b. B wouldn't work since it is not at the exact center which makes your answer A.
Missing Angles in Triangles Worksheet
I need help with everything on this sheet (A-U) please and thank you.
Answer:
Step-by-step explanation:
This question is based on the angles of the triangle.Therefore, the angles of the triangle is 180 degree.
We need to determined the all the angles of triangle in the figure.
In the triangle ABC,
All sides are equal, therefore it is equivalent triangle. Hence, all angles are also equal.
Therefore, angle A = 60 degree, angle B = 60 degree, angle C = 60 degree.
Now, find the angle N.
In triangle PAN, one of the angle is 69 degree, and the other is 90 degree.
We know that,
Sum of angles of the triangle is 180 degree.
Thus, angle N = 180-69-90
Angle N = 21 degree
From the figure, it is observe that,
Angle P = 90 -69 = 21 degreeAngle O = 90 - angle N = 90 - 21 = 69 degree.Angle R = 90 degree - 15 = 75 degreeAngle Q = 90- 15 = 75 degreeAngle S = 90 - 48 = 42 degreeAngle T = 180- 48-90 = 42 degreeAngle J = 180 - 75 - 90 = 15 degreeAngle L = 180 - 15 - 90 = 75 degreeAngle H = 180 - 75- 60 = 45 degreeAngle I = 90 - 45 = 45 degreeAngle M = 180 - 60 = 120 degreeAngle K = 180 - 120 - 45 = 15 degreeAngle E = 90 - 55 =35 degreeAngle G= 180 - 35 - 90 =55 degreeAngle F = 90 - 55 = 35 degreeAngle U = 69 degree ( from the figure)Angle D = 180 - 69 - 69 = 42 degreeTherefore, these are the all the angles of the given figure.
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Help me plz and merry Christmas
Find the area of a trapezoid whose parallel sides are 12 and 23 centimeters respectively.
Answer:
The answer is 12 times 23
Answer:
12.5h cm²
Step-by-step explanation:
Area of trapezoid
=h×(12+13)/2 cm²
=h×25/2 cm²
=12.5h cm² ( in algebraic way)
Determine which type of graph is most appropriate for each set of data. Explain your choice. Question: average new car prices over a ten-year period.
Answer:
A line graph would be nice
Step-by-step explanation:
It would show how the prices increase over time
***im probs too late
Braniliest
find the remainder 7,852 ÷ 6
A) 2
B) 3
C ) 4
D) 5
Answer:
C
Step-by-step explanation:
you divide 7852 by 6 to get 1308.6666666 (etc.)
then you multiply 1308 by 6 (so you take away the .6666) to get 7848
your answer is 4
In a storage warehouse, each container weighs 6*3 pounds. If there are 6*5 containers, how much do the containers weigh in total? Leave your answer in the exponent form.
\
Answer:
The answer is 6 to the power of 8
hi alondra its me Andrew Moreno. I also used brainly on the final.
The regular price of a watch is $28.25. During a sale, the watch was marked 12% off. What was the price of the watch during the sale? (5 points)
a
$2.35
b
$3.39
c
$16.25
d
$24.86
Answer:
I believe the answer would be D, $24.86
In the equation, 1/4n+5=5 1/2 what is n equal to?
Answer:
n=2
Step-by-step explanation:
1/4n + 5= 5 1/2
1/4n= 1/2
(multiply both sides by 4 to cancel out the fraction on the left side of rhe equation)
n=2
. In April, it rained 1/4 of an inch on 15 different days. How many inches of rain fell
in April
Answer: 3 3/4 inches
Step-by-step explanation:
From the question, we are informed that In April, it rained 1/4 of an inch on 15 different days.
The number of inches of rain that fell in April would be the multiplication of 1/4 by the total number of days. This would be:
= 1/4 × 15
= 15/4
= 3 3/4 inches
What is the value of x in the equation 3(2 - x) = 8(x - 2)?
Answer:
2
Step-by-step explanation:
The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2
The chef at LaBerge started the week with 50 pounds of cheese and used 15 4/5 pounds. How much cheese
remains in inventory?
Answer: 34.2 pounds
Step-by-step explanation:
First, convert 15 4/5 into an improper fraction. You should get 79/5. Then, convert 50 into a fraction that has a denominator of 5. Right now, 50= 50/1 so just multiply the top and bottom by 5 to make it 250/5. Then, subtract 79/5 from 250/5. You should get 171/5. Lastly, simplify. You should get 34.2 pounds as your final answer. Hope this helps!
What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
y = negative 50 x
y = negative 50
y = 50 x
y = 50
Answer:
y=50
Step-by-step explanation:
this is the answer.
Answer:
Y=50x
Step-by-step explanation:
I just took the test have a good day remember god love u
look at picture pls help
Answer: k = 3
because p - 1 is a factor of the equation
=> at p = 1, p^4 + p² + p - k =0
with p =1, we have: 1 + 1 + 1 - k = 0
⇔ k = 3
Step-by-step explanation:
Answer:
Solution,
since the factor of f(p) = p-1
we know, f(p)= 0
p=1 (from remainder theorem)
now,
f(p) =p^4+p^2+p-k
0= 1^4+1^2+1-k
0= 1+1+1-k
0= 3-k
k=3
In a right triangle the measure of one acute angle is 4 times the difference of the measure of the other acute angle and 5. Find the measure of each acute angle
Answer:
The measures are 22 and 68 degrees
Step-by-step explanation:
for a right triangle, the total angle measure gives 90
Let one of the acute angle be x and the other be y
The measure of one of the acute angle is 4 times the the difference of the measure of the other angle and 5
x = 4(y-5)
Also x + y = 90
Put i into ii
4(y-5) + y = 90
4y-20 + y = 90
5y-20 = 90
5y = 90 + 20
5y = 110
y = 110/5
y = 22
But;
x = 4(y-5)
x = 4(22-5)
x = 4(17)
x = 68
The sum of the acute angles in a right-angled triangle is 90.
The acute angles are 22 and 68 degrees
Let the acute angles be x and y, such that:
[tex]\mathbf{y = 4(x - 5)}[/tex]
So, we have:
[tex]\mathbf{x + y = 90}[/tex]
Substitute 4(x - 5) for y
[tex]\mathbf{x + 4(x - 5) = 90}[/tex]
Open brackets
[tex]\mathbf{x + 4x - 20 = 90}[/tex]
Add x and 4x
[tex]\mathbf{5x - 20 = 90}[/tex]
Add 20 to both sides
[tex]\mathbf{5x = 110}[/tex]
Divide both sides by 5
[tex]\mathbf{x = 22}[/tex]
Recall that:
[tex]\mathbf{y = 4(x - 5)}[/tex]
So, we have:
[tex]\mathbf{y = 4(22 - 5)}[/tex]
[tex]\mathbf{y = 68}[/tex]
Hence, the acute angles are 22 and 68 degrees
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An indoor soccer field is a rectangle that is 700 feet long by 250 feet wide. Coach Garza is having his players run diagonally from one corner of the field to the opposite corner. What is the distance the players must run?
Answer: 743.30343766 . . . ft
Round it to whatever place your teacher requires it to be at.
Step-by-step explanation: So, this question can be treated as one in which you need to find the hypotenuse. If you cut the soccer field diagonally, the length and width are still the same. The two legs of our triangle are 700 ft and 250 ft. The formula for finding the hypotenuse is a²+b²=c². Input the numbers, and it becomes 700²+250²=c². 700² is 490,000 and 250² is 62,500. 490,000 + 62,500 = 552,500. This means that 552,500 is c², and in order to find c, or the hypotenuse/diagonal, we need to find the square root of 552,500. The square root of 552,500 is 743.3034376 . . . , which you can round to whatever place you need it to be at.
Which expression are equivalent to -3.5 - (-8.2)? Choose ALL that apply.
-3.5 + (-8.2)
3.5 + (-8.2)
-3.5 + 8.2
3.5 + 8.2
-3.5 + (+8.2)
Answer: Your answer is D becasue when you add -3.5 - (-8.2) you get 4.7, and its the same as -3.5 + (+8.2). I hope that kinda explaines it.
Step-by-step explanation:
A tornado drops a piece of wood from a
height of 4,624 ft. If the equation for
height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the piece of
wood to hit the ground?
Answer:
Step-by-step explanation:
H(t) = -16[tex]t^{2}[/tex]+4.624 ( in feet)
0 = -16[tex]t^{2}[/tex] + 4,624
-4,624 = -16[tex]t^{2}[/tex]
-4,624 / -16 = [tex]t^{2}[/tex]
289 = [tex]t^{2}[/tex]
17 = t
so.. 17 seconds to hit the ground.. :)
The piece of wood 17 seconds takes to hit the ground.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
A tornado drops a piece of wood from a height of 4,624 ft.
Given that the equation for the height as a function of time is
h(t) = -16t² + initial height
Substitute height = 4,624 ft. in the equation,
h(t) = -16t² +4.624
At ground level, the value of h(t) is zero,
0 = -16t² + 4,624
16t² = 4,624
t² = 4,624/16
t² =289
t = 17
So, 17 seconds to hit the ground
Hence, the piece of wood 17 seconds takes to hit the ground.
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evaluate the expression when c=2. 6c/2
Answer:
6Step-by-step explanation:
Given the expression g(c) = 6c/2, we are to find the value when c = 2
Substitute c = 2 into the expression
g(2) = 6(2)/2
g(2) = 12/2
g(2) = 6
Hence the result when c = 2 is 6
ion understand this one
Answer:
angle 7 = angle 3 because corresponding angles r equal
A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?
Answer:
$13.50 typical tip
Step-by-step explanation:
So to find the percentage
multiply 0.15*90
You’ll get 13.5
Answer:
13.50
Step-by-step explanation:
Find 15% of 90 dollars
90 * 15%
Change to decimal form
90 * .15
13.50
Find the value of x.
Answer:
7
Step-by-step explanation:
this is an isosceles triangle so you know the two longer sides must be equal.
2x-7=7
2x=14
x=7
Answer:
The answer to this question is A) 7
The table shows the price for different numbers of icecream treats:
Number of Icecream Treats Price(in dollars)
2 6
5 15
7 21
12 36
Does this table of numbers represent a proportional relationship? (5 points)
a
Yes, because the price is 3 times the number of icecream treats
b
Yes, because 3 times the price is the number of icecream treats
c
No, because the price of 5 icecream treats should be $12 and not $15
d
No, because the price of 12 icecream treats should be $48 and not $36
help me out due in a week
Answer:
SAS ( Side, Angle, Side)
Step-by-step explanation:
Both triangles - shown by the arcs labelled on them - have two known congruent sides, and an angle which they are both equal to.
(No units are needed as this shows already that both triangles are congruent to each other)
Hope this helps
In a box of chocolates, 1/5 of the chocolates contain nuts.
The rest of the chocolates do not contain nuts.
Write down the ratio of the number of chocolates that contain nuts to number of chocolates that do not contain nuts.
Give your answer in the form of 1:n
Answer:
1:4
Step-by-step explanation:
Ratios and Fractions
It's given 1/5 of the chocolates in a box contain nuts. The rest do not contain nuts. The portion that does not contain nuts is:
[tex]1 - \frac{1}{5}=\frac{4}{5}[/tex]
We need to calculate the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.
This can be done by dividing 1/5 by 4/5:
[tex]\displaystyle \frac{\frac{1}{5}}{\frac{4}{5}}[/tex]
Operating:
[tex]\displaystyle \frac{1}{5}\cdot\frac{5}{4}=\frac{1}{4}[/tex]
Expressing it as a ratio: 1:4
#1: Given the geometric sequence 3, 9, 27, 81...
• write the explicit formula. Determine the 20th term of the sequence
Answer:
3486784401
Step-by-step explanation:
a=3, r = T2/T1 = 9/3=3
Tn = ar^(n-1)
T20 = ar^(20-1)
T20 = ar^19
T20 = 3×(3^19]
T20 = 3486784401
Answer:
The given geometric series is:
3,9,27,81
Step-by-step explanation:
common ratio: r = ([tex]a_n +1/ a_n[/tex])
r = 3
20th term of geometric series is that :
[tex]3^{1} =3\\3^2=9\\3^3=27\\3^4=81\\3^5=243\\.\\.\\.\\.\\.\\3^20 = 3486784401[/tex]
solve for Y (2x+2y=4)
Answer:
[tex]y=-x+2[/tex]
Step-by-step explanation:
[tex]2x+2y=4[/tex]
[tex]2y=-2x+4[/tex] (Subtract 2x from both sides of the equation)
[tex]y=\frac{-2x+4}{2}[/tex] (Divide both sides of the equation by 2 to get rid of y's coefficient)
[tex]y=-x+2[/tex] (Simplify RHS)
Hope this helps!
please help me on this, thank u:)
Answer:
the exponent is -8, since when you're dividing these with teh same base, in this case 9, you just have to subtract the exponents, so it's 9^-8
Step-by-step explanation:
9514 1404 393
Answer:
1/9^8
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
[tex]\dfrac{9^{-5}}{9^3}=\dfrac{1}{9^5\cdot9^3}=\dfrac{1}{9^{5+3}}=\boxed{\dfrac{1}{9^8}}[/tex]
Round 3.3453 to 2 decimal place
Answer:
its 3.35
Step-by-step explanation:
need thanks and make me brainiest if it helps you
Dacă 4 kg de nectarine și 6 kg de piersici costă 48 de lei, iar 3 kg de nectarine şi 9 kg de piersici costă 54 de lei, află cât costă un kilogram de nectarine şi cât costă un kilogram de piersici.
Answer:
Costul unui kilogram de nectarine = x = 6 lei
Costul kilogram de piersicilor = y = 4 lei
Step-by-step explanation:
Lăsa
Costul nectarinelor = x
Costul piersicilor = y
Prin urmare:
Dacă 4 kg de nectarine și 6 kg de piersici costă 48 de lei
4x + 6y = 48 .... Ecuația 1
3 kg de nectarine și 9 kg de piersici costă 54 de lei
3x + 9y = 54 .... Ecuația 2
Combinând ambele ecuații
4x + 6y = 48 .... Ecuația 1
3x + 9y = 54 .... Ecuația 2
Rezolvăm folosind metoda Eliminare
Înmulțiți ecuația 1 cu 3 și ecuația 2 cu 4 pentru a elimina x
12x + 18y = 144 .... Ecuația 3
12x + 36y = 216 ... Ecuația 4
Scădeți ecuația 4 din 3
-18y = -72
y = -72 / -18
y = 4 lei
Pentru a rezolva pentru x: y = 4
4x + 6y = 48 .... Ecuația 1
4x + 6 × 4 = 48.
4x + 24 = 48
4x = 48 - 24.
4x = 24
x = 24/4
x = 6 lei
Prin urmare:
Costul unui kilogram de nectarine = x = 6 lei
Costul kilogram de piersicilor = y = 4 lei
find quotient and remainder b)diving 2x^3- 5x² +x+2
by x - 2
photo of the answer in notebook
Given:
Dividend = [tex]2x^3-5x^2+x+2[/tex]
Divisor = [tex]x-2[/tex]
To find:
The quotient and remainder.
Solution:
We have,
Dividend = [tex]2x^3-5x^2+x+2[/tex]
Divisor = [tex]x-2[/tex]
Divide [tex]2x^3-5x^2+x+2[/tex] by [tex]x-2[/tex] as shown in the below picture.
Dividing [tex]2x^3-5x^2+x+2[/tex] by [tex]x-2[/tex], we get
[tex]Quotient=2x^2-x-1[/tex]
[tex]Remainder=0[/tex]
Therefore, [tex]Quotient=2x^2-x-1[/tex] and [tex]Remainder=0[/tex].