To find the measure of angle ACD, subtract the measures of angles ABC and BCD from 180 degrees.
Explanation:To find the measure of angle ACD, we need to subtract the measures of angles ABC and BCD from 180 degrees since the sum of the angles in a triangle is always 180 degrees.
Given that angle ABC measures 117 degrees and angle BCD measures 33 degrees, we have:
∠ACD = 180 degrees - 117 degrees - 33 degrees
= 147 degrees.
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Rachel spends 1/4 of her money
on chocolate, 1/8 on pizza.
She has $40 remaining.
How much did she have
at the beginning?
Step-by-step explanation:
Let's start by defining our term:
How much she had at the beginning = B
Now let's edit that value like the problem says
B - B/4 - B/8 = 40
Let's multiply everything by 8 to get rid of any denominators
8B - 2B - B = 320
5B = 320
B = 64
Answer:
Rachel had $64 at the beginning.
Please help with this math question
Answer:
it's the third one
Step-by-step explanation:
the width of a rectangle is 8 inchs shorter than its length.The perimeter of the rectangle is 18 onchs what are the width and length
Answer:
width= 0.5 per side, 1 in total; length= 8.5 per side, 17 in total
Step-by-step explanation:
because 8.5*2=17, then 8.5-8=0.5. so then 0.5*2=1 and 17+1=18. I CAN EXPLAIN FURTHER
Write each fraction as a decimal 8/1000
Answer:
0.008.
Step-by-step explanation:
8 / 1000
= 0.008.
The 3rd position after the decimal point is the thousandth's.
The fraction 8/1000 in to a decimal gives 0.008.
Converting the Fraction 8/1000 to a Decimal:
To convert the fraction 8/1000 to a decimal, you need to divide the numerator by the denominator. In this case, divide 8 by 1000:
8 ÷ 1000 = 0.008Thus, the fraction 8/1000 as a decimal is 0.008.
someonle plzz help me with this simple vector question
Answer:
6 AO
Step-by-step explanation:
If you compare the vector formed with AO it is 6 AO.
You can do it mathematically too converting each point in coordinates (x, y). But since it didnt say how to do it, the simplest is just drawing an hexagon and summing the vectors
What is the solution to this equation?
X- 13 = -4
O
A. x = 17
o
O
B. x= -17
o
OC. x = 9
O
D
. = -9
Answer:
9. This is because you have to add 13 to -4, which gives you positive 9. Hope this helped!
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made. 0.7744 0.7733 0.0144 0.176
Answer:
The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744
Solution:
Total number of coils = number of good coils + defective coils = 88 + 12 = 100
p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) [tex]\times[/tex] p(getting 2 good coils for second selection)
p(first selection) = p(second selection) = [tex]\frac{\text { number of good coils }}{\text { total number of coils }}[/tex]
Hence, p(getting 2 good coil for two selection) = [tex]\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}[/tex]
Probability of selecting two good coils with replacement: [tex]\(0.88 \times 0.88 = 0.7744\)[/tex]. Correct answer is D) 0.7744.
To solve this problem, we need to calculate the probability of selecting two good coils when the first selection is replaced before the second is made. This means the selections are independent.
Here are the steps:
1. Calculate the total number of coils:
12 defective +88 good $=100$ total
2. Determine the probability of selecting a good coil on the first draw:
[tex]\[ P(\text{good on first draw}) = \frac{88}{100} = 0.88 \][/tex]
3. Since the first coil is replaced, the probability of selecting a good coil on the second draw is the same:
[tex]\[ P(\text{good on second draw}) = \frac{88}{100} = 0.88 \][/tex]
4. Calculate the probability of both events (selecting two good coils):
[tex]\[ P(\text{two good coils}) = P(\text{good on first draw}) \times P(\text{good on second draw}) \][/tex]
[tex]\[ P(\text{two good coils}) = 0.88 \times 0.88 = 0.7744 \][/tex]
Therefore, the probability of getting two good coils when two coils are randomly selected with replacement is:
[tex]\[\boxed{0.7744}\][/tex]
So the correct answer is:
D) 0.7744
The correct question is:
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
A) 0.176
B) 0.0144
C) 0.7733
D) 0.7744
If Jay ran 1 mile in 10 minutes on Monday, 2 miles in 20 minutes on Tuesday,
and 3 miles in 30 minutes on Wednesday, how many miles do you think he
might run in 40 minutes on Thursday?
Answer:
4 miles
Step-by-step explanation:
41 = 32 - r solve each equation linear equations
demonstrate on a number line 33.61 and 36.13 which is greater
Answer:the answer is 36.13 because it is greater than 33.61
Step-by-step explanation:
In a bank account a paid out expense is called a debit and a deposit is called a credit. Would you use positive or negative integers to represent credits? Debits?
Debits are represented using negative integers, while credits are represented using positive integers.
How are debits and credits represented using integers?In the context of accounting, debits are expressed as negative integers, and credits are denoted with positive integers. This numerical representation helps maintain consistency in recording financial transactions.
Debits indicate the reduction of an account balance, while credits signify an increase. This system ensures accurate bookkeeping and financial reporting.
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4t + 10t
PLEASE HELP ASAP!
Answer:
answer is 14t as 4t +10t =14t
Can someone please help me with this problem, I have been trying to do it for about an hour, but my math always comes out badly... Thanks!
Answer:
800000000000
Step-by-step explanation:
i think
Answer:
the minimum distance from earth to mars is about 54.6 million kilometers. The farthest apart they can be is about 401 million km. the average distance is about 225 million km
Step-by-step explanation: you divide 230,000,00,00 by two and then add 1.5 + 10/11.
What is the circumference of a circle with a radius of 9.2 inches?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
Answer:
What is the circumference of a circle with a radius of 9.2 inches?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
57.776 in.
Find the exact solution of x.
x2 = 16
•x = 4
•x = -4
•x = ±4
•No Solution
Answer:
x=+-4
Step-by-step explanation:
there are 12 people in cafe. half of them are drinking coffee. How many people are drinking coffee?
3/41 40/97 1/6 in least to greatest?
Answer:
3/41; 1/6 40/97
Step-by-step explanation:
A game's parking costs $18 per vehicle and a ticket for the game is $33. If your family gave you $200 for your birthday and the use of the minivan, how many friends (including yourself) can go to the game?
Answer:
you and 4 other people can go to the game
Step-by-step explanation:
18 for parking
33 for you
33 for 4 other people
= 184 and you cant add another 33 to it cause it will go over 200
Answer:
5
Step-by-step explanation:
A game's packing cost is $18
A ticket for the game is $33
Your family gave you $200 + minivan
Let's say the number of friends (including yourself) you go with to the game is f.
Equating this expression;
$18 + $33f ≤ $200
$33f ≤ $200 - $18
$33f ≤ $182
f ≤ [tex]\frac{182}{33}[/tex]
f ≤ 5.515151515
Since we cannot have 0.515151515 friends, the number of friends (including yourself attending the game must be 5).
Could anyone please find the quotient? I'm horrible at math.
Answer:
2x-4 is the answer if you multiply 2x-4 by 4x-3 you get 8x squared minus 10x -12
Step-by-step explanation:
Is the following relation a function
The relation given yields the following points:
(6, -1), (-1, -2), (4,3), (0,3)
Because every x-value is mapped exactly to one y-value, this relation is a function.
However, because y has two repeated values of 3, it is not one-to-one.
Yes, a function.
Solve 25x^2-30=0
Round the answer to the nearest hundredth
x=-1.10 and x=1.10
x=-26.15 and x=1.15
x=0
x=-0.83 and x=0.83
Answer:
x = - 1.10 and x = 1.10
Step-by-step explanation:
Given
25x² - 30 = 0 ( add 30 to both sides )
25x² = 30 ( divide both sides by 25 )
x² = [tex]\frac{30}{25}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{30}{25} }[/tex]
x = - 1.10 and x = 1.10 ( to the nearest hundredth )
The correct answer is a. x = -1.10 and x = 1.10 .
To solve the quadratic equation [tex]\( 25x^2 - 30 = 0 \)[/tex], we first add 30 to both sides of the equation to isolate the quadratic term:
[tex]\[ 25x^2 = 30 \][/tex]
Next, we divide both sides by 25 to solve for [tex]\( x^2 \)[/tex]:
[tex]\[ x^2 = \frac{30}{25} \] \[ x^2 = 1.2 \][/tex]
Now, we take the square root of both sides to solve for x. Remember that when taking the square root of a number, we must consider both the positive and negative square roots:
[tex]\[ x = \pm\sqrt{1.2} \][/tex]
Using a calculator, we find the square root of 1.2 and round to the nearest hundredth:
[tex]\[ x = \pm1.095445115... \][/tex]
Rounded to the nearest hundredth, the solutions are:
[tex]\[ x = -1.10 \] \[ x = 1.10 \][/tex]
Therefore, the correct options are x = -1.10 and x = 1.10 . The other options provided [tex](\( x = -26.15 \)[/tex] and x = 1.15 , x = 0 , x = -0.83 and x = 0.83 are incorrect and do not satisfy the original equation.
The complete question is- Solve [tex]25x^2-30=0[/tex]
Round the answer to the nearest hundredth
a. x=-1.10 and x=1.10
b. x=-26.15 and x=1.15
c. x=0
d. x=-0.83 and x=0.83
What is the first step in which the student made an error
Final answer:
To identify where an error might have occurred, students should be aware of common mistakes, review personal feedback, and reflect on their thought processes. This helps in understanding and correcting errors, leading to improvement in critical and reflective thinking.
Explanation:
The first step in identifying an error in a student's work is to be cognizant of common mistakes that students make. By reviewing a common errors list and reflecting upon feedback from instructors, a student can pinpoint problem areas in his or her academic practice. Starting with the prediction and diagnosis of one's own learning process is essential. This may include recognizing patterns in mistakes, understanding why an error was made, or consulting with a teacher for further clarification. Once the source of the error is identified, the student can work on corrective measures to avoid similar issues in the future. Frequently, errors in thinking or application are not due to a lack of intelligence, but rather to the way our minds are wired, leading to characteristic mistakes that can be anticipated and mitigated with practice and reflection.
how do you graph a quadratic with (a) in front of the x
Answer:
Remember PEMDAS? That comes into play here. Just multiply your x value with 1/3 and then square. After that just add the 4.
Step-by-step explanation:
A ________ is a letter that takes place of a number.
Example: 5+n=9,n=4
Answer:
Variable.
Step-by-step explanation:
A letter that takes the place of a number is called a variable.
Answer:
variable
Step-by-step explanation:
A variable is a letter that represents a number. It can also be solved for.
Hope this helps
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What is the 30th term of the linear sequence below?
-4, -1,2,5,8,...
Answer:
The 30th term is 83
Step-by-step explanation:
we know that
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant called the common difference d
in this problem
[tex]a_1=-4\\a_2=-1\\a_3=2\\a_4=5\\a_5=8[/tex]
so
[tex]a_2-a_1=-1-(-4)=3\\a_3-a_2=-2-(-1)=3\\a_4-a_3=-5-2=3\\a_5-a_4=-8-5=3[/tex]
The common difference d is 3
We can write an Arithmetic Sequence as a rule:
[tex]a_n=a_1+d(n-1)[/tex]
Find out the 30th term
we have
[tex]n=30\\d=3\\a_1=-4[/tex]
substitute
[tex]a_n=-4+(3)(30-1)[/tex]
[tex]a_n=-4+(3)(29)[/tex]
[tex]a_n=83[/tex]
Final answer:
The 30th term of the linear sequence is 83, found using the formula for the nth term of a linear sequence an = a1 + (n - 1)d, with a common difference of 3.
Explanation:
To find the 30th term of the linear sequence given by -4, -1, 2, 5, 8,..., first identify the common difference between consecutive terms. In this sequence, each term increases by 3. So, the common difference (d) is 3.
To find the nth term of a linear sequence, use the formula:
an = a1 + (n - 1)d, where
an is the nth term,
a1 is the first term, and
d is the common difference.
For our sequence:
a1 = -4 (the first term),
d = 3,
n = 30 (since we are finding the 30th term).
Plugging into the formula gives:
a30 = -4 + (30 - 1) × 3
a30 = -4 + 29 × 3
a30 = -4 + 87
a30 = 83
Therefore, the 30th term of the sequence is 83.
Alejandria has four shirts and three pairs of pants. She says that she has seven possible combinations.
Answer: False, there are 12 possible combinations.
Step-by-step explanation:
Each pair of pants matches to each shirt.
She has 3 pairs of pants (1, 2, & 3) and 4 shirts (A, B, C, & D).
Here are all of the combinations:
1A 1B 1C 1D
2A 2B 2C 2D
3A 3B 3C 3D
There are 3 pants × 4 shirts = 12 different combinations
This is the answer to a problem or an equation
Answer:solution
Step-by-step explanation:
I got it right
(04.05 LC)
The number of protons in an atom is equal to its
atomic number
atomic mass
atomic model
atomic medium
Answer:
atomic number (Z)
thats how they are organized in the periodic table
Answer:
The number of protons in an atom is equal to its atomic number
Step-by-step explanation:
What is the measure of an interior angle of a regular octagon?
135°
45°
22°
180°
Answer:
135
Step-by-step explanation:
Answer: if theres 1080 degrees in a octagon and 8 sides. Id suppose that a regular angle in the octagon would all equal the same weighting it to 1080/8=135 degrees. Correct me if im wrong.
Answer:
135°
Step-by-step explanation:
the eights angles is 1080 degrees and there are eughts angles so yhe mesure of yhe interior amgle of a regular octagon is 135 degrees
Bryan took a taxi home from the opera. The taxi fare was $2.50 per mile, and he gave the driver a tip of $3. Bryan paid a total of $35.50. The equation 2.50x + 3 = 35.5 can be used to find the distance in miles (x) between the opera house and Bryan's home.
How many miles is it between the opera house and Bryan's home?
Answer:
There are 13 miles between the opera house and Bryan's home.
Step-by-step explanation:
The equation [tex]2.50x+3=35.5[/tex] can be used to find the distance in miles (x) between the opera house and Bryan's home.
We will solve this to get the value of x.
[tex]2.50x+3=35.5[/tex]
=> [tex]2.50x=35.5-3[/tex]
=> [tex]2.50x=32.50[/tex]
we get x = 13
Hence, there are 13 miles between the opera house and Bryan's home.