Multiple Choice
Simplify each polynomial.
6g + 8k – 9g + 2k
A. 3g + 10k
B. –3g + 10k
C. 17gk
D. 10k – 3
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
The final polynomial after simplifying is -3g + 10k.
Option B is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
6g + 8k – 9g + 2k
Add like terms.
6g - 9g + 8k + 2k
-3g + 10k
Thus,
The final polynomial after simplifying is -3g + 10k.
Option B is the correct answer.
Learn more about polynomials here:
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Please be a help and help with my math and show your work, please.
Answer:
area = 2184 ft²
Step-by-step explanation:
height² = 60² - 36² = 3600 - 1296 = 2304
height = √2304 = 48
base = 36 + x
x² = 73² - 48² = 5329 - 2304 = 3025
x = √3025 = 55
base = 36 + 55 = 91
area = 1/2(h)(b) = 1/2(48)(91) = 2184 ft²
PLZ HELP! QUESTION IS BELOW! :D
Answer:
40 ft^2
Step-by-step explanation:
Think of the area of the green rectangle first. Then subtract the area of the smaller brown rectangles.
area of green carpet = 4 ft * 12 ft - 3 ft * 2 ft - 1 ft * 2 ft
area = 48 ft^2 - 6 ft^2 - 2 ft^2
area = 40 ft^2
Answer: 40 ft^2
What is 1/3 plus 3/4
Answer:
1
Step-by-step explanation:
Suppose you have two numbersPandQ. Explain carefully why the product of their greatest commondivisor and their least common multiple is equal toP Q.
Answer:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
Step-by-step explanation:
Given: Two numbers are P and Q
To prove: product of their greatest common divisor and their least common multiple is equal to PQ
Solution:
Consider the following relation:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = Product of numbers P and Q
Therefore,
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
Speeds of pulleys are inversely proportional to the length of their diameter. Diameter of pulley A is 20 cm. and diameter of pulley B is 10 cm. If B turns at 348 rpm, how fast does pulley A turn?
Answer:
174 rpm
Step-by-step explanation:
The question says that the speed is inversely proportional to the length. Thus, Inverse means, as the diameter increases, the speed reduces, or as the diameter reduces, the speed increases.
Thus, from the question, if diameter A is 20, and B is 10, then definitely, the speed will increase from 348 to a higher rate. Mathematically, we have
20 / 10 = 348 / x, where x is the missing speed.
2 = 348 / x
x = 348 / 2
x = 174 rpm
Therefore, the pulley A must have been running at a speed of 174 rpm
The area of a triangle can be found based on the area of a _____. circle trapozoid parallelogram
Answer:
Trapezoid
Step-by-step explanation:
A triangle can be thought of as a trapezoid with one of the side length being 0.
Answer:
Parallelogram
Step-by-step explanation: "Surprisingly, this triangle (or any triangle) is related to a parallelogram." Found it in my text (Calvert Academy school)
The sum of the Interior angles of a polygon is the product of 180 and 2 less than the number of the sides.
If S is the sum of the interior angles of a polygon with n sides, then which equation represents the relationship between S and n?
A. 180S = 6-2
B. 1805 = 2-n
C. S = 180 (2)-n
D. S= 180 (n - 2)
Answer:
It's A I think
Step-by-step explanation:
I guessed
1. A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?
Answer: 30
Step-by-step explanation: I think the height of the triangle is 30 cm because the rectangle has dimensions of 3 cm and 10 cm so I multiplied that which equals 30 then I thought 6 x 5 = 30 so 30 cm
btw, if i'm wrong please don't get mad, i'm trying my best lol
Answer:
H=10
Step-by-step explanation:
First, let's find the area of the rectangle:
L*W
the length is 3 and the height is 10 so substitute and you get:
10*3 = 30
now let's find what the area of the triangle should be:
B*H/2 =30(because the area is the same)
the base is 6 and the height is unknown, now lets fully substitute:
6H/2=30
3H=30
H=10
Hope this helps :)
Find the exact value of x.
Answer:
x = 6
Step-by-step explanation:
(3√2)² = 18
using the Pythagorean theorem:
x² = 18 + 18 = 36
x = √36 = 6
Each month, the charge for a cell phone plan consists of a flat fee of $42, plus $12 per gigabyte of data.
Which equation represents the total monthly charge for the plan, C(d) dollars, as a function of the number
of gigabytes of data, d ?
A. C(d) = 12(42)d
B. C(d) = 12d +42
C. C(d) = 42d + 12
D. C(d) = (12 + 42)d
Answer:
B.) C(d)= 12d+42
Step-by-step explanation:
A flat fee means it is only paid once and doesn't increase or decrease.
The gigabytes of data fluctuate how much you pay the 12 dollar amount.
Meaning 12d represents the price of data and +42 shows the flat rate.
Overall giving us the equation C(d)= 12d+42.
Solve the following expression when
k= 12 and v = 6
ķ + 5 - 4v + 12
Answer:
-5
Step-by-step explanation:
[tex]\frac{12}{6} + 5 - 4(6) + 12 = -5[/tex]
Have a great day :)
In ΔJKL, the measure of ∠L=90°, LK = 12, KJ = 37, and JL = 35. What ratio represents the secant of ∠K?
Answer:
Sec <K = 37/12
Step-by-step explanation:
Given the following measure
∠L=90°
LK = 12
KJ = 37, and
JL = 35.
Considering angle K
JL = opposite
KJ =hypotenuse
LK = adjacent
Using SOH CAH TOA identity
Cos theta = adj/hyp
Cos m<K = LK/KJ
cos m<K = 12/37
Since sec theta = 1/cos thets
Sec <K = 1/cos<K
Sec <K = 1/(12/37)
Sec <K = 37/12
Combine like terms for the following expressions:
2−3x−x−6
Answer:
- 4 - 4x
Step-by-step explanation:
2 - 3x - x - 6
2 - 6 - 3x - x
- 4 - 4x
-TheUnknownScientist
what is 2324132352413142536-1342536435241342536/2354253643524125363541+425364763524142536475
That is going to be a looong answer...
[tex]2324132352413142536 - \frac{1342536435241342536}{2.354254e} - 21 + 425364763524142536475[/tex]
and done
Uma professora de artes pediu aos alunos para montarem mosaicos unindo peças. Nesse mosaico, essas peças deveriam ficar sempre ligadas pelos vértices, não poderiam se sobrepor e não deveria sobrar espaço entre elas. Além disso, para fazer esse mosaico, essa professora solicitou que todos os alunos utilizassem octógonos regulares, como o que está apresentado abaixo.
M100839H6_1
Para compor esse mosaico, junto com esses octógonos, os alunos tinham à sua disposição as peças do quadro abaixo.
M100839H6_2
Quais dessas peças os alunos poderiam escolher para compor esse mosaico?
I e III.
I, III e IV.
I e IV.
II, III e IV.
III e IV.
Answer:
coloquei a letra d- II, III e IV
Step-by-step explanation:
Answer:
é a letra D (II, III e IV)
Step-by-step explanation:
se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.
Terry bought 7 packs of dodger peanuts at the game.If each pack holds 1 2/3 ponds of peanuts how many pounds of peanuts did terry purchase in total
Answer:
11 2/3 pounds
Step-by-step explanation:
If a pack contain 1 2/3 pounds, 7 packs would contain :
1 2/3 x 7
[tex]\frac{5}{3}[/tex] × 7 = 35/3 = 11 2/3 pounds
4. A blanket shop had 27 feet of fabric. If they wanted to use the fabric to make 5 blankets, each the same length, how long would each one be? Between what two whole numbers does your answer lie?
in test need help
will give brainiest
Answer:
5 2/5. 5 or 6, I'm not completely sure though.
Step-by-step explanation:
On a road trip, you stop to get gas when there is 1 4of a tank of gas left. You get the tank filled and this takes 12 gallons of gas. How much gas does the car's tank hold?
Answer: 16 gallons
Step-by-step explanation:
Since we are given the information that 1/4 of the gas is left, it simply means that (1 - 1/4) = 3/4 has been used.
The tank was filled and this was 12 gallons of gas.
Let the gas that the tank hold be represented by x. Therefore,
3/4 of x = 12
3/4 × x = 12
0.75x = 12
x = 12/0.75
x = 16
The tank holds 16 gallons of gas.
an administrative assistant at a software company often provides breakfast when there is a morning meeting. for last weeks sales, she purchased 3 dozen doughnuts and 5 dozen croissants, spending a total of $60. in preparation for yesterday's safety meeting, she spent $65 on 4 dozen doughnuts and 5 dozen croissants. assuming she purchased the items at the same bakery both times, how much does a dozen of each cost?
Answer:
donuts: $5.00
croissants: $9.00
Step-by-step explanation:
c - croissants
d - donuts
(1) 3d + 5c = 60
(2) 4d + 5c = 65
solve for 5c in equation (1)
5c = 60 -3d
substitute 5c = 60-3d into (2)
4d + (60 - 3d) = 65
d + 60 = 65
d = 5
to find c substitute d = 5 into (1)
3(5) + 5(c) = 60
15 + 5c = 60
5c = 45
c = 9
the vertex of f(x) = 3x ^2+ 5x + 2 is a:
minimum
maximum
none of these
Answer:
minimum
Step-by-step explanation:
Given a quadratic in standard form f(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
f(x) = 3x² + 5x + 2 ← is in standard form
with a = 3
Since a > 0 then vertex is a minimum
15 and 16 please help no links
Answer:
both of the answers are C.
PLEASEEE HELP WILL GIVE BRAINLIEST
Answer:
volume = 160 cubic units
Step-by-step explanation:
volume = (6 x 4 x 5) + (4 x 2 x 5) = 160 cubic units
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.12 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answer:
82.02
Step-by-step explanation:
78.12 x 0.2 = 15.62 tip
78.12 x 0.15 = 11.72 discount
78.12-11.72 = 66.40 discounted meal price
66.40 + 15.62(tip) = 82.02 total meal price
name the plane represented by the points in the box
A.fbcg C.fecb
B.bade D.fkgi
need now please help
Answer:
The plane represented in the box is: fbcg
Step-by-step explanation:
Given
The attached box
Required
Which of the given points is a plane in the box
To do this, we simply check if the points are connected i.e. if there is a directed between each of the points of the plane.
A. FBCG
Point F links to B, (by drawing a vertical line from F)
Point B links to C, (by drawing a right horizontal line from B to C)
Point C links to G, (by drawing a vertical line from C down to G)
Point G links to F, (by drawing a left horizontal line from G to F)
Hence, FBCG is a plane on the box.
This is not so for other options
Shona has to draw the line with equation y = 3x + 2. Here is her line. Explain why Shona's line cannot be correct.
Answer:
Step-by-step explanation:
The y intercept cannot possibly where it is shown. The slope is correct. The line is going from the lower left to the upper right, and the 3 makes the line closer to the y axis. For example if x = 1 then y = 3*1+2 = 5.
If x = 2, then y = 3*2 + 2 = 8 so each move of x makes a huge difference in where y is.
So lets go back to the y intercept. When x = 0, then y = 2. y = 2 is about the x axis, not below it.
Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
What does the equation of a line imply?The equation of a line of the form y = mx + b shows a line on the coordinate plane, where for every value of x, we get a particular value of y, and m is the slope of the line. The slope is the value of tan θ, where θ is the positive angle formed between the x-axis and the line. b is the y-intercept. The y-intercept is the value of y when x = 0. This signifies that the line passes through the point (0, b).
How do we solve the given question?We are given an equation of a line y = 3x + 2, and a line of the coordinate plane.
We are asked to give the reason why the line on the plane is not the representation of the given equation.
The equation y = 3x + 2, when compared to the slope-intercept form of a line, y = mx + b, shows that the slope m = 3 and the y-intercept b = 2.
The line on the plane has a positive slope, so m = 3 can be its slope.
But the y-intercept of the drawn line is negative since it is below the origin. So b = 2 cannot be its y-intercept.
(Value of y is positive above the origin and negative below the origin)
(Value of x is positive to the right of the origin and negative to the left of the origin)
∴ Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
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A baker made 15 loaves of bread from 3 pounds of flour. Each loaf had the same amount of flour. How many pounds of flour were used to make each loaf?
Answer:
0.2 pounds
Step-by-step explanation:
You can use unitary method:
To make 15 loaves of bread, flour needed is 3 pounds
To make 1 loaf of bread, flour needed is 3/15 pounds = 0.2 pounds
What is the GCF in the following expression, 6y+18 PLEASE HELP ASPAP!!!
Given: a || b; c || d
a) List all angles congruent to angle 3._____________________
b) If m∠ 2 = 53º, then m∠ 12 = ______ and m∠ 8 = ______.
c) m∠ 4 + m∠ 12 + m∠ 13 + m∠ 6 = _________.
Answer:
c
Step-by-step explanation:
can someone help with median and mode
