Answer:
commutative property:
A + B = B + A
So we have
3 + (5 + 7) = (5 + 7) + 3
Now distributive means that:
A + (B + C) = (A + B) + C
So (5 + 7) + 3 = 5 + (7 + 3)
now the equation is easier to solve, because 7 + 3 = 10
5 + (7 + 3) = 5 + 10 = 15
Answer:
Use the commutative property of operations to reverse the numbers in the expression.
✔ 3 + (7 + 5)
Use the associative property of operations to change the grouping after reversing the numbers in the expression.
✔ (3 + 7) + 5
Evaluate the expression.
✔ 15
Step-by-step explanation:
Find the arc length of a sector with a radius of 9 feet and a central angle of 18°. Give answer in
terms of pi.
Answer:
The arc length of a sector:
[tex]A = \frac{9}{10} \pi[/tex]
Step-by-step explanation:
-The equation for finding the Arc length, would be:
[tex]Arc length = \frac{a}{360\textdegree} 2\pi r[/tex]
-Use the given radius and the central angle for the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} 2\pi (9)[/tex]
-Then, solve the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9[/tex]
[tex]A = \frac{1}{20} \times 2\pi \times 9[/tex]
[tex]A = \frac{2}{20}\pi \times 9[/tex]
[tex]A = \frac{1}{10}\pi \times 9[/tex]
[tex]A = \frac{9}{10}\pi[/tex]
So, the arc length of a sector is [tex]\frac{9}{10} \pi[/tex] .
What is the area of the triangle?
Answer:
4
Step-by-step explanation:
The area of a triangle is
A=1/2 bh
Where b is the base and h is the height
A = 1/2 (4)(2)
A = 4
plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp
Answer:
D
Step-by-step explanation: hope this helps
The leading coefficients of 3x^2-3x-4=0
Answer:
3
Step-by-step explanation:
Leading Coefficients are numbers in front of the variable (x in this case) with the largest exponent (2 in this case)
3x^2 where 3 is the number in front of the variable.
Graph the system of equations. Then determine whether it has no solution, one
solution, or infinitely many solutions. If the system has one solution name it. x – 3y = –3
x + 3y = 9
Answer:
One solution: (6, -1)
Step-by-step explanation:
I have attached the work to your problem below.
Please see the attachment.
I hope this helps.
At Pizza Time, 2 of the last 20 pizzas sold had pepperoni. What is the experimental
probability that the next pizza sold will have pepperoni?
Write your answer as a fraction or whole number
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
simplify [tex]\frac{2}{20}[/tex] to get [tex]\frac{1}{10}[/tex]
Work out the area of this circle give your answer in terms of pi and state it’s unit
Answer:
what circle
Step-by-step explanation:
Sarah kept track of the points she scored during her first five basketball games in the table shown.
What must she score during game 6 to have a mean of 12 points scored per game?
A. 10
B. 12
C. 14
D. 20
E. 22
Answer:
E
Step-by-step explanation:
If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.
The score she must get during the 6th game to have a mean of 12 point score per game is 22.
What is mean?The mean is the average of numbers.
Mathematically, it is represented as follows;
mean = sum of terms / number of terms
Therefore, to get a mean of 12 point score per game the 6th score can be calculated as follows:
let
x = 6th score
Hence,
8 + 12 + 10 + 6 + 14 + x / 6 = 12
50 + x / 6 = 12
cross multiply
12 × 6 = 50 + x
72 = 50 + x
72 - 50 = x
x = 22
Therefore, the score is 22.
learn more on mean here: https://brainly.com/question/26277430
what is the length of a 135 arc
Answer:
23561.9449
Step-by-step explanation:
i solved it using the formula :
[tex]2\pi \times r \frac{135}{360} [/tex]
suppose the landing pad for a helicopter is shaped like a circle with a 35-ft diameter. what is the area of the landing pad?
Answer:
962.11 or 306.25
Step-by-step explanation:
the area of a circle is π(radius)squared
the radius is half of of the diameter which = 17.5
so *17.5 squared is 962.11
Kwami has 2 large sheets of paper he cuts each piece of paper in half then he cuts the smaller pieces of paper in half 2 more time
How many pieces of paper does he have now ?
Write this as a power?
Answer:
2 to the power of 3 or 2^3
Answer: 8
Step-by-step explanation:
•2 large sheets of papers:
i)cuts in half
-left 4pieces.
ii) the cutted one (smaller ones) cutted again 1 time
-left 6pieces.
iii) the cutted one will be cutted again (2nd time.) And so...
-left 8 pieces.
Please let me know if you haven't understand any of the steps...☺
l hope u like it....
Pleeeeeeeeeeeeeeeeease mark me as a brainliestt....❤
Thankyouuuu
He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder? *
1 point
a) 21 cubic inches
b) 7.5 cubic inches
c) 9.375 cubic inches
d) 10.5 cubic inches
e) 15 cubic inches
NEEEED help ASAP please!
Answer:
d) 10.5 cubic inches
Step-by-step explanation:
[tex]volume = \frac{1}{2} \times 3 \times 2 \times 3.5 \\ = 3 \times 3.5 \\ = 10.5 \: cubic \: inches[/tex]
Answer:
(a 21
Step-by-step explanation:
3 times 3.5= 10.5
10.5 times 2= 21
Does the equation y = 3.0.47x represent exponential growth, exponential decay, or neither?
Answer:
exponential decay
Step-by-step explanation:
exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.Exponential decay occurs when the amount of decrease is directly proportional to how much exists.
Can somebody answer this...
Answer:
1. 72
2. 60
3. 35
4. 32
Step-by-step explanation:
1. 6 x 4 x 3= 72
2. 5 x 3 x 4= 60
3. 5 x 2 x 2= 20
5 x 3 x 1= 15
20 + 15= 35
4. 5 x 3= 15
2 x 2=4
4 x 8= 32
The number of people who voted for the Green Party in a election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue a Party voters in it’s simplest form.
Answer:
Momentum is how much something wants to keep moving in the same direction. p = m v. p = m v. p = 1500 kg × 28 m/s. p = 42 000 kg m/s. The unit for momentum is
Step-by-step explanation:
Three friends got jobs at stores in the mall. nina earns 177.60for 14 hours of work ty earns 148.50 for 18 hours of work kim earns 137.60 for 16 hours of work
Answer:
The question might be centered on computation on the hourly rate earned by the three friends:
Nina $12.69
Ty $8.25
Kim $8.60
Step-by-step explanation:
Hourly rate earned=total earnings/hours worked
Nina:
Nina earned $177.60 for 14 hours,hence hourly rate is $ 12.69 ($177.60/14)
Ty:
Ty earned $148.50 for 18 hours period of work,thus earned $8.25 ($148.50/18)
Kim earned $137.60 for 16 hours duration of work,invariably Kim earned $8.60 ($137.60/16)
From the above analysis it is clear that Nina earned the highest hourly rate of $12.69 per hour
Answer:
Step-by-step explanation:
The question might be centered on computation on the hourly rate earned by the three friends:
Nina $12.69
Ty $8.25
Kim $8.60
Hourly rate earned=total earnings / hours of work
Nina:
Nina earned $177.60 for 14 hours,
[tex]=\frac{177.60}{14}[/tex]
= $ 12.69 per hour
Ty:
Ty earned $148.50 for 18 hours period of work,
[tex]=\frac{148.50}{18}[/tex]
= $8.25 per hour
Kim
Kim earned $137.60 for 16 hours period of work,
[tex]\frac{137.60}{16}[/tex]
$8.60 per hour
From the analysis it is obvious that Nina earned the highest hourly rate of $12.69 per hour
2
.
Toru has $80 to pay for dog grooming. The fee is $72 plus 7.25% tax.
Does he have enough money? Explain
We have been given that Toru has $80 to pay for dog grooming. The fee is $72 plus 7.25% tax. We are asked to determine whether Toru has enough money for grooming or not.
The total charges for grooming would be $72 plus 7.25% of $72.
[tex]\text{Total charges for grooming}=\$72+\$72\times \frac{7.25}{100}[/tex]
[tex]\text{Total charges for grooming}=\$72+\$72\times0.0725[/tex]
[tex]\text{Total charges for grooming}=\$72+\$5.22[/tex]
[tex]\text{Total charges for grooming}=\$77.22[/tex]
Since total cost of grooming is $77.22 and Toru has $80 to pay for grooming, therefore, Toru has enough money for grooming.
What is the volume of a cylinder with base radius 2 and height 9
Answer:
Step-by-step explanation:
Volume of the cylinder is = π x r x r x h = π x 2 x 2 x 9 = 113.097
Question 2: What is a sample space in an event?
A.the total amount of outcomes
B.a list of all the different possible outcomes
C.any random possibilities that you can think of
Answer:
B. I'm petty sure about this one but cant quite put it into words Hoped this helped!!
Students were asked to add 0.65 + 12.3 + 0.005 . Tatiana added and go 1.93 as an answer, while Kyree go 19.3 as an answer. Without performing the addition yourself, how do you know that both students meade errors in their work, perhaps in lining up the decimal points.
Answer:
12.955
Step-by-step explanation:
you know they made errors because between all the numbers, the whole number is 12 and the rest are 0, which means that the whole number part cannot be less than 12. While for the decimal part the largest number of decimal places is 3, and that what your final answer has to have. I hope this helped :)
Saturn’s rings span up to about (7.5 · 10^-1) of the distance between the Earth and its moons. Of Saturn’s rings span up to (2.82 · 10^5 kilometers, what is the distance between Earth and its moons.
3.76 · 10^5 km
21,150 km
21.15 · 10^4 km
2.115 · 10^5 km
Answer:
Step-by-step explanation:
Let x represent the distance between Earth and its moons.
Saturn’s rings span up to about (7.5 × 10^-1) of the distance between the Earth and its moons. It means that Saturn’s rings span is
(7.5 × 10^-1)x
If Saturn’s rings span up to 2.82 × 10^5 kilometers, it means that
(7.5 × 10^-1)x = 2.82 × 10^5
Dividing both sides of the equation by 7.5 · 10^-1, it becomes
x = (2.82 × 10^5)/(7.5 × 10^-1)
x = 3.76 · 10^5 km
Solve for x can someone please answer please help
In triangle ABC and triangle ADE
angle A = angle A (common)
angle ABC = angle ADE
By AA similarity criterion , they are similar
Thus
AB/AD = BC/DE
4/12 = x/12
Thus x = 4
Answer:
4
Please see the photo I added, if you do not understand, specify in the comments...
4. Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum
height of 9m above the water. What height will Henry be after 5 seconds?
Answer:
Step-by-step explanation:
Given
Diver is standing [tex]7\ m[/tex] above water
Diver is at a maximum height of [tex]h=7+2=9\ m[/tex] at [tex]t=2\ s[/tex]
So, at [tex]t=2\ s[/tex] his velocity is zero
After this he will be under free fall
using
[tex]s=ut+\frac{1}{2}at^2[/tex]
here [tex]u=0[/tex]
[tex]s=\frac{1}{2}\times 10\times (3)^2[/tex]
[tex]s=5\times 9=45\ m\quad \text{(not possible)}[/tex]
but the distance between the pool and Henry is [tex]9\ m[/tex]
So, he reaches the pool before [tex]5\ s[/tex]
[tex]9=\frac{1}{2}\times 10\times (t)^2[/tex]
[tex]t=\sqrt{1.8}[/tex]
[tex]t=1.34\ s[/tex]
So, he reaches pool at [tex]t=2+1.34=3.34\ s[/tex] after diving off the board
Answer:
Ignore the answer above, the correct answer is 4.5m.
Step-by-step explanation:
If you ignore all the useless information, you'll see that the parabola Henry creates has a vertex of (2,9) (because obviously the parabola opens downwards). Using this, we can deduce the vertex form of the equation for this parabola to be y=-a(x-2)²+9. This is because the vertex is always equal to (h,k), and the vertex form of any parabola is written as y=a(x-h)²+k. Now, you can solve for a to find it is 0.5, by using (0,7) as the y-intercept (aka the diving board, his starting location). Now, you can graph y=-0.5(x-2)²+9 by using mapping notation, (I find to be the easiest), or any other strategy you'd like. Once graphed, it is clear to see that when the parabola reaches 5 along the x-axis, (simpler if you think of the x-axis as time and the y-axis as height), it is plotted at 4.5 on the y-axis. This means that after 5 seconds, Henry is 4.5 meters above the water.
Help!!!! Which represents the base of the cone
Answer:
the first option
Step-by-step explanation:
the 6 represents the diameter of the base
the 4 represents the height of the cone
if it needs a radius to solve the problem, divide the diameter by 2 (aka half of the diameter)
In the figure shown below,
DE || AB. What is the length of BE?
A. 24cm
B. 26 cm
C. 33 cm
D. 36 cm
Answer:
DE//AB, applying Thales theorem:
CD/DA = CE/EB
=> EB = DA x CE/CD = 39 x 12/18 = 26 cm
=> Option B is correct
Hope this helps!
:)
The drama club is holding auditions for five different parts in a one act play. If my people audition, how many ways can the rules be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
Find the length of the side of a square if its area is 81 square inches.
A. 9 inches
B. 3 inches
C. 40.5 inches
D. 162 inches
Given that the area is 81 square inches, find out the length of the side of a square.
Area of Square = s^2
To find out the length, find the square root of 81.
Square root of 81 is 9.
9 x 9 = 81
Therefore, the length of a side on a square with an area of 81 inches is 9 inches.
Answer:
9
Step-by-step explanation:
just did it
The number that belongs in the green box
Answer:
6
Step-by-step explanation:
you combine the a2 with 5a2 as they are the only ones with a squared, combine and you get 6a2 + 6a + 7
can someone help me with a series of questions?
Answer:
yes
Step-by-step explanation:
send the questions....
researchers are studying two populations of sea turtles. in population d, 30 percent of the turtles have a shell length greater than 2 feet
Answer:
I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful
Step-by-step explanation: