Step-by-step explanation:
Mean number of tickets sold by boys =
Total Number of tickets sold / Number of boys
=
[tex] \frac{(1 \times 4) + (2 \times 3) + (4 \times 1) + (12 \times 1) + (13 \times 1) + (15 \times 3) + (14 \times 2}{4 + 3 + 1 + 1 + 1 + 3 + 2} \\ = \frac{4 + 6 + 4 + 12 + 13 + 45 + 32}{15} \\ = \frac{116}{15} \\ = 7.73(nearest \: hundredth)[/tex]
Find the solution(s) to (x-3)^2=49. Check all that apply
A. x=-10
B. x=-4
C. x=7
D. x=-7
E. x=10
Answer:
B. x = -4
E. x = 10
Step-by-step explanation:
[tex](x-3)^2=49 \\ \\ x - 3 = \pm \sqrt{49} \\ \\ x - 3 = \pm 7 \\ \\ x = 3 \pm 7 \\ \\ x = 3 + 7, \: \: x = 3 - 7, \\ \\ x = 10, \: \: x = - 4[/tex]
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.
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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
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 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
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
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:
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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can someone help with median and mode
A bag contains eight black cards numbered 1 through 8 and six red cards numbered 1 through 6. You choose a card at random what's the possible outcome
Answer:
14 possible outcomes
Step-by-step explanation:
It is given that :
There are 8 black cards numbered 1 through 8.
Therefore, Black 1, Black 2, Black 3, Black 4, Black 5, Black 6, Black 7, Black 8.
And there are 6 red cards numbered 1 through 6.
Therefore, Red 1, Red 2, Red 3, Red 4, Red 5, Red 6.
So the total number of cards is 8 + 6 = 14 cards.
So, there will be 14 possible outcomes if we choose a card randomly.
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 :)
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
What is the GCF in the following expression, 6y+18 PLEASE HELP ASPAP!!!
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
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
1. Is 5(x+1) the same as 5x+1? Explain your
answer.
2. Write the expression one other way.
Answer:
Step-by-step explanation:
5(x+1), when expanded, becomes 5x + 5, which is ot the same as 5x + 1.
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.
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
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 :)
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
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
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.
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
Describe the end behavior of the given function f(x)=2/3x-2
Answer:
The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity
as x->- infinity, f(x)->- infinity
Step-by-step explanation:
When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).
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
how are mimes and tableaus different. and how are they similar
15 and 16 please help no links
Answer:
both of the answers are C.
What is 1/3 plus 3/4
Answer:
1
Step-by-step explanation:
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
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: