Please answer, much appreciated!!!! (will mark brainliest)
Given that the person chosen is an 11th grader, what is the probability that they walk or bike to school.
Answer:
Step-by-step explanation:
P(Walk or Bike)=[tex]\frac{72}{466} +\frac{90}{466}[/tex]
=[tex]\frac{81}{233}[/tex] = 0.347
BRAINLIEST to the best answer with a good explanation!
Answer:
£15.10
x + 20
64 counters in the bag
Total money = £21.30
Step-by-step explanation:
20p = £0.20
50p = £0.50
100p = £1.00
Total value:
⇒ 8 × 20p + 5 × 50p + 11 × £1 = 8 × 20p + 5 × 50p + 11 × 100p
= 160p + 250p + 1100p
= 1510p
= £15.10
-----------------------------------------------------------------------------------------------------
20 more than x: x + 20
-----------------------------------------------------------------------------------------------------
If one quarter of the counters in a bag are yellow, and there are 16 yellow counters in the bag:
⇒ total number of counters in the bag = 16 × 4 = 64
-----------------------------------------------------------------------------------------------------
Let x = number of 20p coins
Let y = number of 50p coins
Let z = number pf £1.00 coins
Given:
20p coins are worth £2.80⇒ 0.20x = 2.80
⇒ x = 2.80 0.20
⇒ x = 14
Therefore, there are 14 twenty pence coins.
Given:
One third of the coins are 20p coinsWe have calculated that there are 14 twenty pence coins, therefore:
⇒ total number of coins = number of 20p × 3
= 14 × 3
= 42
As the total number of coins is 42:
⇒ x + y + z = 42
⇒ 14 + y + z = 42
⇒ y + z = 42 - 14
⇒ y + z = 28
Therefore, the total number of 50p and £1 coins is 28.
Given:
10 more 50p coins than £1 coins⇒ y = z + 10
Substitute y = z + 10 into y + z = 28 and solve for z:
⇒ (z + 10) + z = 28
⇒ 2z + 10 = 28
⇒ 2z = 18
⇒ z = 9
Therefore, there are 9 one pound coins
total number of coins:
⇒ x + y + z = 42
substituting the found values of x and z:
⇒ 14 + y + 9 = 42
⇒ 23 + y = 42
⇒ y = 19
Therefore, there are 19 fifty pence coins
20p coins = 14
50p coins = 19
£1 coins = 9
Therefore, total money:
= 14 × 20p + 19 × 50p + 9 × 100p
= 280p + 950p + 900p
= 2130p
= £21.30
Jason is planning on retiring after 25 years of employment. For the last three years he
has made $60,000; $56,000; and $58,000. His employer offers a defined benefit plan
in which the annual pension is calculated as the product of the final three-year
average salary, the number of years of service, and a 2.25% multiplier. What will
Jason's monthly pension be?
O $27,187.50
O $2,812.50
O $32,625
O $2,718.75
Jason's monthly pension is the product of the final three-year average salary is $32,625. Then the correct option is C.
What is a monthly pension?Jason is planning on retiring after 25 years of employment.
For the last three years he has made $60,000; $56,000; and $58,000.
His employer offers a defined benefit plan in which the annual pension is calculated as the product of the final three-year average salary, the number of years of service, and a 2.25% multiplier.
Then Jason's monthly pension will be
[tex]\rm Monthly \ pension = \dfrac{(60,000+56,000+58,000)}{12} \times 2.25\\\\Monthly \ pension = 14500 \times 2.25\\\\Monthly \ pension = \$ \ 32,625[/tex]
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Write an algebraic expression for each of the statements below.
Answer:
D) 3x + 7y = 49
E) x / 3 = 9
F) 2x + 4
H. e. l. p MeEe
plss
Step-by-step explanation:
here you go hope it helps you
just please help 6 through 8 thank you please help me its a homework but i really dont get it that much please help me
Problem 6
It's not clear what the instructions are, but I'm assuming your teacher wants you to rationalize the denominator.
If so, then we could have these steps
[tex]\sqrt{\frac{3\text{x}}{7}}\\\\\frac{\sqrt{3\text{x}}}{\sqrt{7}}\\\\\frac{\sqrt{3\text{x}}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\frac{\sqrt{3\text{x}*7}}{(\sqrt{7})^2}\\\\\frac{\sqrt{21\text{x}}}{7}\\\\[/tex]
In the third step, I multiplied top and bottom by [tex]\sqrt{7}[/tex] so that the denominator can get rid of the square root.
Answer: [tex]\frac{\sqrt{21\text{x}}}{7}\\\\[/tex]======================================================
Problem 7
We'll follow the same idea for this problem.
[tex]\sqrt{\frac{5m^2}{2}}\\\\\frac{\sqrt{5m^2}}{\sqrt{2}}\\\\\frac{\sqrt{5m^2}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{\sqrt{5m^2*2}}{(\sqrt{2})^2}\\\\\frac{\sqrt{10m^2}}{2}\\\\\frac{\sqrt{10}*\sqrt{m^2}}{2}\\\\\frac{m\sqrt{10}}{2}\\\\[/tex]
Where m is nonnegative.
In the second to last step, I split up the root so I could use the rule [tex]\sqrt{x^2} = x \text{ when } x \ge 0[/tex]
Answer: [tex]\frac{m\sqrt{10}}{2}\\\\[/tex]======================================================
Problem 8
[tex]\sqrt{\frac{12\text{x}^3}{5}}\\\\\frac{\sqrt{12\text{x}^3}}{\sqrt{5}}\\\\\frac{\sqrt{12\text{x}^3}*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\\\\\frac{\sqrt{12\text{x}^3*5}}{(\sqrt{5})^2}\\\\\frac{\sqrt{60\text{x}^3}}{5}\\\\\frac{\sqrt{4\text{x}^2*15\text{x}}}{5}\\\\\frac{\sqrt{4\text{x}^2}*\sqrt{15\text{x}}}{5}\\\\\frac{\sqrt{(2\text{x})^2}*\sqrt{15\text{x}}}{5}\\\\\frac{2x\sqrt{15\text{x}}}{5}\\\\[/tex]
where x is nonnegative.
Answer: [tex]\frac{2x\sqrt{15\text{x}}}{5}\\\\[/tex]What is the solution to this system of equations?
X+ 2y = 4
2x-2y = 5
O (3.-57)
(3, 1/2)
no solution
infinitely many solutions
only question 14 but if u want u can answer question 14 and 15
Answer:
14 is 269000-2500=266500
Step-by-step explanation:
differnece between 2x+4 and 3x+4 and 4x+4
Answer:
the difference is the slope
Step-by-step explanation:
y = mx+b
m is the slope
b is the y-intercept
2x+4
3x+4
4x+4
the m constant changes meaning the slope is the difference
3. The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 70.3% of their carbon-14. How old were the bones at the time they were discovered?
Answer:
10,071 years
Step-by-step explanation:
If 'a' is the fraction remaining, it satisfies the equation ...
a = (1/2)^(t/5750)
Solving for t, we get ...
log(a) = log(1/2)×t/5750
t = 5750×log(a)/log(1/2) ≈ -19,101.09×log(a) . . . years
__
If 70.3% is lost, then 1 -0.703 = 0.297 is the fraction remaining. The age is estimated to be ...
-19,101.09×log(0.297) ≈ 10,071 . . . years
The bones were about 10,071 years old.
Y= 4x+3 make x the subject
Answer:
x = (y-3)/4Step-by-step explanation:
Y= 4x+3 make x the subject
4x = y - 3
x = (y-3)/4
7 (5x-1) answer plss
Answer:
35x - 7
Step-by-step explanation:
7(5x - 1)
--> 7 x 5×
= 35x
--> 7 x -1
= -7
==> 35x - 1
Hope it helps :))
Answer:
35x - 7
Step-by-step explanation:
Q) 7(5x - 1) = ?
→ 7(5x - 1)
→ 35x - 7
So, the answer is 35x - 7.
For Questions 2-5, determine whether each expression is a polynomial:
(Questions are in image)
Answer:
2. Polynomial
3. Not a polynomial
4. Polynomial
5. Polynomial
Step-by-step explanation:
A system of equations is shown below
2x+y=9,x+3y=-13
Which sequence of operations would produce the correct x- or y-value of the solution to this system of equations?
a)multiply the first equation by 3 and add the result to the second equation to eliminate y and solve for x
b)multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x
c)multiply the second equation by 9/13 and add the result to the first equation to eliminate the constant and solve for x and y
d) multiply the second equation by –1 and add the result to the first equation to eliminate x and solve for y
The sequence of operations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)
Solving a system of equations by EliminationFrom the question, we are to determine the sequence of operations that would produce the correct x- or y-value of the solution to the given system of equations
The given systems of equations are
2x+y=9
x+3y=-13
First, multiply the first equation by -3That is
-3 × (2x+y=9)
-6x-3y=-27
Now, add to the second equation-6x-3y=-27
+(x+3y=-13)
-----------------
-5x = -40
Thus, we can solve for x
These sequence of operations will enable us to eliminate y and solve for x
Hence, the sequence of operations that would produce the correct x- or y-value of the solution to the system of equations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x
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Which of the following equations are NOT linear equations? Select all that apply.
(Choose 2)
(btw the answers are impossible to write so if you know what im talking abt then thats good)
The linear equations are 6x + y = 5, x + 2 = −8, y = 1, and y = −2/3x + 3. Then the correct options are A, B, E, and G.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
If the power of the variable is one then the equation will be a linear equation.
The equations are given below.
A. 6x + y = 5, this is the linear equation.
B. x + 2 = −8, this is the linear equation.
C. 2x² + 3x − 8 = 19, this is not a linear equation.
D. 3 + 8 = 11, this is not a linear equation.
E. y = 1, this is the linear equation.
F. 4x³ = 32, this is not a linear equation.
G. y = −2/3x + 3, this is the linear equation.
More about the linear system link is given below.
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which expression shows 20+24 with 2 as a factor of each term
Answer:
2(10+12)Step-by-step explanation:
20+24
⇨2(10+12)
Therefore ⬇︎
2(10+12) is our expression with 2 as a factor for each term ツ
A bag contains 3 red, 5 black, and 4 white marbles. What is the probability of picking a red marble, replacing it, and then picking a black marble?
Answer:
1/12 for red marbles
1/12 for black marbles
Step-by-step explanation:
reason why both 1/12 it because you picked a marble first and you brought it back, then you pick again
5
X
40
9
Find the exact value of x.
x =
Since that is a right triangle, we can use pythagorean theorem.
[tex]c^2=a^2+b^2[/tex]
solve.
[tex]c^2=40^2+9^2\\\\c^2=1681\\\\\sqrt{c^2}=\sqrt{1681} \\\\c=41[/tex]
the value of x is 41
What is the measure (in radians) of central angle \thetaθtheta in the circle below?
Enter an exact expression.
Answer:
1 radians
Step-by-step explanation:
Here,
Arc length ( l ) = 8π cm
Radius ( r ) = 8 cm
To find : Angle θ ( in radians )
Formula : -
θ = l / r
θ = 8π / 8
θ = 1π
Note : -
Radians is denoted by " π ".
Please help me on this!
Answer:
B
Step-by-step explanation:
Answer choice A,C, and D are all linear based on their context. Answer choice B "doubles" resulting in an exponential function.
help please! math volumes
Answer:
980.18 cm^3
Step-by-step explanation:
Volume of cylinder w/out spheres = pi r^2 h
= pi 8^2 *6
now subtract the volume of the TWO spheres
2 * 4/3 pi * 3^3
for result = 980.18 cm^3
What is the period of the function graphed below?
Answer:
2 pi
Step-by-step explanation:
Period of the function graphed = 2π
What is period of function?The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.
Given,
Graph of a function.
Period of the function = Distance between two peaks or two troughs in the graph
Period of the function = 2π - 0 = 3π - π = 2π
Hence, 2π is the period of the function graphed.
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SOMEONE PLEASE HELP ME
The following cone has a height of 12 cm and a slant height of 13 cm. A right angle is formed between the height and radius of the cone
Answer:
Radius of cone = 5cm
Step-by-step explanation:
You can figure out a radius of the base of the cone by using Pythagoras as you know the hypotenuse (slant height) and the height of the triangle so:
[tex]13^2-12^2 =radius^2[/tex]
[tex]169-144 =25 = radius^2\\[/tex]
[tex]radius = 5[/tex]cm
Answer:
5cm
Step-by-step explanation:
Who is faster, the snowboarder or the skier? Explain how you know who is faster.
PLEASE YALL I NEED HELP AND FAST
The answer is that skiers are faster by 20%, with the top speed ever recorded on a ski coming in at 250kph, while the top speed recorded on a snowboard is 200kph. If we want to discuss which sport is cooler, then we can have a lively conversation! The Basics Of Biomechanics
Which description best describes parallel lines?
O A. Lines that are not in the same plane and will never intersect
O B. Lines that lie in the same plane but will never intersect
0
C. Lines that intersect at a right angle
0 D. Lines that intersect
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
#2 option: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}[/tex]
= [tex]\frac{2}{3}[/tex]
Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of water at the store. How many gallons of liquid did she buy?
Answer:
3 gallons
Step-by-step explanation:
Need help with this. Find the value of x
Answer:
x=72.4
Step-by-step explanation:
Since we have an angle that is facing a known side, we are able to use sine
Step 1- Prepare your equation: sin(∅°)=opposite/hypotenuse
Step 2- Substitute: sin(28°)=34/x
Step 3- Calculate: use a graphing calculator to solve the equation, make sure to have the answer to degrees not radians
Step 4- Answer: 72.4 by calculator
ur wlcm :)
brainliest?
13 less than the product of 4 and a number n is 5
Answer:
(5 × 4) - 13 = 7
Step-by-step explanation:
Given that,
→ n = 5
Let's solve the problem,
→ x = n × 4
→ x = 5 × 4
→ [ x = 20 ]
Then 13 less than the product will be,
→ x - 13
→ 20 - 13 = 7
Therefore, the solution is 7.
100 points. bee fast
Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error? The height does not lie on the base because it is perpendicular to the base. The radius does not lie on the base because it contains the center of the base. The diameter does not lie on the base because it contains a radius of the circle. The base does not contain the height, the radius, or the diameter because it is a circle.
Answer:
The height does not lie on the base because it is perpendicular to the base.
