The solution of the Equation is x = 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
x - 4 + 5 = 2
Now, solving for x we get
x + 1= 2
Now, subtract 1 from both side we get
x+ 1 -1 = 2 - 1
x = 1
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Micah’s bicycle wheel has a radius of 14 inches. About how far will micah’s bicycle travel each time his wheel turns one full rotation?
Answer:
D. 88 inches
Step-by-step explanation:
to get the circumference of a circle the equation is C=2πr
C=87.96
Final answer:
Every time Micah's wheel turns one full rotation, the bicycle would travel approximately 88 inches.
Explanation:
The student's question relates to the travel distance of a bicycle wheel in one full rotation.
The distance traveled by a wheel in one rotation is equal to the circumference of the wheel, which is calculated by the formula:
Circumference = 2π × radius.
Given Micah's bicycle wheel has a radius of 14 inches, the calculation would be:
Circumference = 2 × π × 14 inches
Circumference = 2 × 3.1416 × 14 inches
Circumference ≈ 88 inches
Therefore, every full rotation of Micah’s 14-inch-radius bicycle wheel will result in the bicycle traveling approximately 88 inches, which is the circumference of the wheel.
Given this data, what is the range of the average word
lengths?
Student
1
2
3
4
5
6
7
8
Mean Word Length
7.1
4.5
6.9
5.2
5.0
4.7
6.1
4.5
Is the variation between sample means large or small?
Answer:2.6
Small
Step-by-step explanation:
Answer:
2.6 and the variation is small
Step-by-step explanation:
u welcome
Phil collected 60 eggs and sold 44 of them to the local grocer. Phil wrote down that he sold 0.44 of the eggs he
collected. Did Phil write the decimal correctly? Explain.
Answer:
Yes
Step-by-step explanation:
Answer:
No, Phil did not write the decimal correctly. If Phil started out with 100 eggs and sold 44 then the decimal would be 0.44, but he only had 60, so the decimal would be 0.73
Step-by-step explanation:
enable to find the decimal of 2 numbers, you must divide usually the smaller number by the larger number anable to get the percentage. so, in this question, you divide 44 by 60 and therefore getting your answer, Phil sold 0.73 of his eggs.
The sum of 3 times a number and 4 is no more than 10 and no less than -8.
Answer:
Equation -8 ≤ 3n+4 ≤ 10
Solution -4 ≤ n ≤ 2
Step-by-step explanation:
sum of 3 times a number and 4
3n+4
is no more than 10
3n+4 ≤ 10
and no less than -8
-8 ≤ 3n+4 ≤ 10
To solve
Subtract 4 from all sides
-8-4 ≤ 3n+4-4 ≤ 10-4
-12 ≤ 3n ≤ 6
Divide all sides by 3
-12/3 ≤ 3n/3 ≤ 6/3
-4 ≤ n ≤ 2
A train station employee collects data on 160 incoming trains to the station. He notices that 18 of the 90 incoming trains on line A arrive late, and 14 of the 70 incoming trains on line B arrive late.
What is the probability that a train on line A arrives on time? What is the probability that any train arrives on time?
Answer:
Probability of a train on line A arriving on time: 80%
Probability of any train arriving on time: 96%
Step-by-step explanation:
If 18 of the 90 incoming trains on line A arrive late, we have that 90 - 18 = 72 trains of the 90 arrive on time, so the probability of a train on line A arriving on time is:
P(A) = 72/90 = 0.8 = 80%
on line B, we have that 70 - 14 = 56 trains of the 70 arrived in time, so the probability of a train from line B arriving on time is:
P(B) = 56/70 = 0.8 = 80%
To find the probability of any train arriving on time, we can use this formula:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.8 + 0.8 - 0.8*0.8
P(A or B) = 1.6 - 0.64 = 0.96 = 96%
The probability that a train on line A arrives on time is 0.8 or 80%. The probability that any train arrives on time, considering both line A and line B, is also 0.8 or 80%.
Explanation:To calculate the probability that a train on line A arrives on time, we subtract the number of trains that arrive late from the total number of trains on line A:
Probability = (Total trains on line A - Trains on line A that are late) / Total trains on line A
Probability = (90 - 18) / 90
Probability = 72 / 90
Probability = 0.8 or 80%
To calculate the probability that any train arrives on time at the station, we need to consider the total number of trains arriving on time for both lines:
Total trains on time = (Total trains on line A - Trains late on line A) + (Total trains on line B - Trains late on line B)
Total trains on time = (90 - 18) + (70 - 14) = 72 + 56 = 128
Then, we divide the number of trains on time by the total number of trains:
Probability = Total trains on time / Total trains
Probability = 128 / (90 + 70)
Probability = 128 / 160
Probability = 0.8 or 80%
The product of 1.3 times 10 Superscript negative 4 and a number n results in 2.6 times 10 Superscript 12. What is the value of n?
2 times 10 Superscript negative 8
2 times 10 Superscript negative 3
2 times 10 Superscript 16
2 times 10 Superscript 48
Answer:
2 x 10^16
Step-by-step explanation:
[tex](1.3\times 10^{12})n=(2.6\times 10^{-4})[/tex]
Divide both sides by the coefficient of n.
[tex]n=\frac{2.6\times 10^{12}}{1.3\times 10^{-4}}[/tex]
The answer can be found by doing two calculations:
Divide 2.6 by 1.3 to get 2.
For the powers of 10, divide [tex]10^{12}[/tex] by [tex]10^{-4}[/tex] by subtracting exponents.
12 - (-4) = 12 + 4 = 16.
The answer is
[tex]n=2\times 10^{16}[/tex]
Answer:
2 x 10^16
Step-by-step explanation:
i think
ANSWER GETS BRAINLIEST )
Monica and simone are playing a game using a number cube
-the number cube is numbered 1 through 6
-monica needs to roll an odd number in order to win
-simone needs to roll an even number in order to win.
what is the probability of simone winning compared to monica's probability of winning?
-impossible
-unlikely
-equally likely
-likely
-certain
Answer:
equaly likely
Step-by-step explanation:
Answer:
Equally likely
Step-by-step explanation:
There are 3 even numbers and 3 odd numbers on the cube. Therefore the odds are equal.
how many dollars will you earn if you mow the lawn 10 times
Which sets of side lengths represent Pythagorean triples? Check all that apply.
1, 2, 5
6, 8, 14
8, 15, 17
10, 24, 26
15, 20, 30
28, 45, 53
Answer:
C,D,F
Step-by-step explanation:
8, 15, 17
10, 24, 26
28, 45, 5
Answer:
C,D,F
Step-by-step explanation:
I took test and got 100
If there are 30 chopsticks in a drawer with 47 pieces of silverware, what is the ratio of chopsticks to silverware?
Answer: the ratio is 30:47
Step-by-step explanation: this is the most you can simplify this number so it stays like this
hope this helps mark me brainliest if it helped
Answer:
Ratios can be written like so:
a to b
a : b
a/b
There are 30 chopsticks and 47 silverware, and we want the ratio of chopsticks to silverware, so we can write it as
30 to 47
30:47
30/47
Neil saves money at the end of each week. The function m(x) = 25x + 50 models the amount of money he has saved after x weeks. What
is the most appropriate domain for the function?
A. all non-negative integers
B. all positive real numbers
C. all real numbers
D. all integers
Answer:
b
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90° GF = 37 HG = 12 and FH = 35.
What ratio represents the sine of ∠F?
Answer:
[tex]\sin F =\dfrac{12}{37}[/tex]
Step-by-step explanation:
We are given the following in the question:
GF = 37 units
HG = 12 units
FH = 35 units
We have to find the ratio that represents sine of ∠F.
Formula:
[tex]\sin F = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin F = \dfrac{HG}{GF}=\dfrac{12}{37}[/tex]
is the required ratio of sine of ∠F.
The attached image shows the triangle.
In the right triangle ΔFGH, the sine of ∠F is represented by the ratio of the opposite side (HG) to the hypotenuse (FH), so the sine of ∠F is 12/35.
Explanation:In the right triangle ΔFGH, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Considering ∠F, the side opposite to it would be HG and the hypotenuse in this scenario would be FH.
Given that HG = 12 and the length of the hypotenuse FH = 35, then the sine of ∠F (sin F) would be represented by the ratio 12/35.
Therefore, the sine of ∠F in the triangle ΔFGH is 12/35.
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Which answer includes the intervals that contain the solution to the inequality?
The correct option is D (-∞,-3)∪(-1,1)
Step-by-step explanation:
Given,
[tex]\frac{x^{2}-1 }{3x+9}[/tex] ≤ 0
To find the solution.
The solution could be found if
[tex]x^{2} -1[/tex] ≤ 0 and
3x+9 ≠ 0 [if the denominator is 0, it gives ∞ as solution]
Now,
[tex]x^{2} -1[/tex] ≤ 0
or, (x+1)(x-1) ≤0
or, x ≤1 and x≤-1
Both of the above condition holds is x≤1
Again,
3x+9≠0
or, x≠-3
All the conditions gold for the values (-∞,-3)∪(-1,1)
Hence the correct option is D.
Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. What is the direct distance to her aunt's house?
Answer: 39 miles
Step-by-step explanation:
Hi, since the travelling forms a right triangle, (see attachment) we have to apply the Pythagorean Theorem formula.
a^2 +b ^2 =c ^2
Assuming a and b are the distances driven, and c the direct direction formed (hypotenuse)
15^2 +36 ^2 =c ^2
225+1,296 =c ^2
1,521 =c ^2
√1,521= c
c= 39 miles
Feel free to ask for more if needed or if you did not understand something.
Answer:
39 miles
Step-by-step explanation:
can someone help me with this please
PLZ HELP ASAP
Jason made this table of all the possible outcomes of rolling two six sided number cubes and finding the sum of the numbers facing up on the cubes what is the probability of rolling a sum less than 5
Answer:
1/6 16.667%
Step-by-step explanation:
less than 5
36 total outcomes
6 desired outcomes
6/6= 1
36/6=6
Please help will give brainlist
Answer:
The answer is 236.52.
Step-by-step explanation:
First you want to figure out the radius of the semi circle so you take the length of 12 and divide it by 2. Then you want to use the formula for area of a circle 3.14 times radius squared and divide that by 2 and add 12x15 to get your answer.
Lock 1: Write your response in Alphabetical Order and in ALL CAPITAL LETTERS (Do not put any spaces or commas.) You must choose 3 *
PLEASE HELP IM STUCK *btw its an escape room for my math class
Answer:
I believe A C and E.
This question is a combination of English alphabet and mathematics in the context of a math escape room. You're asked to provide three things (possibly answers from different problems) and then write those in capital letters and in alphabetical order, without spaces or commas. For instance, if your answers were DOG, CAT, and BEE, you would write BEECATDOG.
Explanation:The answer to this question is a bit unique as it involves both math and the English alphabet. The hint is to write a response in alphabetical order without spaces or commas and in all capitals. Given that these are the constraints, we must first figure out what those three things to write in our response are based on the math problem, and then list them in alphabetical order. Knowing that it's an escape room for your math class, perhaps these could be answers from past or current problems in your class. For instance, if your responses were DOG, CAT, and BEE, the answer would be BEECATDOG.
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PLEASE HURRYYYY!!!!!!!!!!
What is the total area of the following composite figure?
54.28 ft2
60.56 ft2
73.12 ft2
98.24 ft2
Answer:
A. 54.28 ft^2
Step-by-step explanation:
Area of the parallelogram = 48 ft^2
Area of the semicircles = 6.28 ft^2
A = π r^2
A = 3.14 (2)
A = 3.14 (4)
A = 12.56
12.56 ÷ 2 = 6.28 ft^2
48 + 6.28 = 54.28 ft^2
Answer:
54.28 ft^2
Step-by-step explanation:
.
Each CD costs $5, and you have $40 to spend on CDs. Write
an inequality for the possible number of CDs you could buy,
then find the maximum number of CDs you can buy.
_ CDs
|
PETE
BER
EFT
|
EESTER
|
ENERAL
|
|
| Enter the answer
I
|
|
Answer:
x ≤ 8
Step-by-step explanation:
"Each" = variable
5 dollar each => 5x
You can spend 40 exactly or less, exactly => equal to
5x ≤ 40
5x/5 ≤ 40/5 (Divide both sides by 5)
x ≤ 5
Q2: The student council at Hillsdale High School is making T-shirts to sell for a fundraiser, at a price of $ 10 10 each. The costs, meanwhile, are $ 9 9 per shirt, plus a one-time setup fee of $ 79 79 . Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answer:
a.The cost of making those shirts will be $790
b. The number of shirts that must be sold to recover this cost = 79 shirts.
Step-by-step explanation:
Please kindly check the attached files for explanation.
What is the area of the composite figure?( 20 points)
Riley is going snowboarding over the holiday break. To go snowboarding you have a one time fee of $75 to rent the snowboard equipment, plus a fee of $5 per ride on the ski lift to get up and down the mountain. Write an equation that could be used to find the total amount it would cost to go snowboarding.
Answer:
y = 5x + 75
Step-by-step explanation:
"One time" = no change = constant
"per" = varies per person = variable
It is 5 dollars per ride, 5 dollars per x, 5x.
y = 5x + 75
If you are given the two sides that are not the hypotenuse, which trig function should
you use?
A) tangent
B) sine
C) cosine
D) cotangent
Answer:
A
Step-by-step explanation:
Tangent = opposite/adjacent
The trigonometric function that can be used when given 2 sides that are not the hypotenuse is tangent.
The sides of a right angle triangle are as follows:
HypotenuseAdjacent sideOpposite sideThe simplest trigonometric ratio we can use to solve for the angles of a right angle triangle are as follows:
sin∅ = opposite / hypotenusecos∅ = adjacent / hypotenusetan∅ = opposite / adjacentTherefore, the trigonometric function one can use to find the angle of a right angle triangle when given 2 sides apart from hypotenuse is tangent
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Can someone help me please
Answer:
email the picture to me email: 4804169663atstudents,ocps,net
Step-by-step explanation:
Answer: The answer is 301
Step-by-step explanation:
1,907+802=2709/9=301
= : equals
+ : plus
/ : Divide
Lilly deposited $3000 into a Roth IRA that grew to $6000 at her retirement. If
Lindsay is currently in the 10% tax bracket and is retired, how much tax will
she have to pay when she withdraws the entire $6000?
O
A. $300
O
O
O
B. $0
c. $600
D. $900
The answer is $0
She can withdraw all $6000 and not have to pay anything.
Lilly will not have to pay any taxes when she withdraws the entire $6000.
Option B is the correct answer.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Since Lilly deposited $3000 into a Roth IRA, that means she had already paid taxes on that money before depositing it.
Therefore, when she withdraws the entire $6000, she will not have to pay any taxes on the original contribution of $3000.
Now,
For the remaining $3000 (the growth), she will also not have to pay any taxes since Roth IRA withdrawals of earnings are tax-free if the account holder is over 59½ and the account has been open for at least five years.
Therefore,
Lilly will not have to pay any taxes when she withdraws the entire $6000.
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Solving equations and distributive property
Answer:
8(4+x)= 64
(8*4)+(8*x)= 64
8x+32= 64
8x= 64-32
8x= 32
x= 32/8
x= 4
Which rigid transformation(s) can map TriangleABC onto TriangleDEC?
The triangles are congruent by the SSS congruence theorem.
Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.
Answer:
A - reflection then rotation
Use Vieta's Theorem to solve the problems.
The difference of the two solutions of x^2+19x+c=0 is 15. Find the solutions.
Answer:
The answer is -2, -17
Step-by-step explanation:
You write a system of equations
[tex]x_{1} +x_{2}=-19\\x_{1}-x_{2}=15[/tex]
Then you solve:
-2, -17
The answer is -2, -17.the solutions.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
The difference of the two solutions of x^2+19x+c=0 is 15.
now,
You write a system of equations
x_1+x_2= -19
x_1-x_2=15
Then you solve:
-2, -17
hence, The answer is -2, -17.the solutions.
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What is the y-intercept for the linear non proportional equation y= 0.5x -2
Answer:
-2
Step-by-step explanation:
In slope intercept form equations, y = 0.5x - 2 for example,
0.5 would be m or the slope, and the number after the x - 2 would
be your y-intercept
Answer:
2.5
Step-by-step explanation:
as u divide and have to add and multiply both nimbera