Answer:
30 degrees
Step-by-step explanation:
angle g equals 180-(6n+30)
(6n+30)=(5n)+(2n+10)
6n+30=7n+10
20=n
180-(120+30)
180-150
30
A coin collector has a bag full of coins. You ask the collector how many coins doe he have in his bag, he replied that he did not know, but he said when he tried to put them in the bag two at a time he had one left over at the end, and when he tried to stick them in the bag three at a time he also had one left over at the end. In fact, he said he had one left over then he put them in four, five and six at a time as well. When he stuck them in the seven at a time they all went in the bag evenly. How many coins must the collector have in his bag? The number of coins that the collector has is:
Answer:
301
Step-by-step explanation:
The answer is 301 because if I do the prime number theorem, I get 300+1 which is 301.
Hope this helps plz hit the crown:D
Biologists have found that the number of chirps some crickets make per minute is related to temperature. The relationship is very close to being linear. At 70 degrees the cricket chirps 140 times, and at 80 degrees the cricket chirps 160 times.
Model the situation with an equation in Slope Intercept Form
please answer this correctly
Answer:
[tex]\underline {\boxed{y = 2x}}[/tex]
Step-by-step explanation:
[tex]the \: slope \: intercept \: form \: is \: given \: by \\ y = mx \: + c \\ but \: m = \frac{y_{2} -y_{1}}{x_{2} - x_{1}} \\ (x_{1}, \: y_{1}) = (70, \:140) \\ (x_{2}, \: y_{2}) = (80, \:160) \\ m = \frac{160 - 140}{80 - 70} = \frac{20}{10} \\ \underline {\boxed{m = 2}} \\using \: point \: (1) \to \: (x_{1}, \: y_{1}) = (70, \:140) \\ if \: y = mx + c \\ 140 = 2(70) + c \\ c = 140 - 140 \\ \underline {\boxed{c = 0}} \\ hence \: the \: required \: equation \: i s \: \to \\ \underline {\boxed{y= 2x + 0}}[/tex]
♨Rage♨
Which is 147.975 rounded to the nearest tenth?
Answer:
148
Step-by-step explanation:
Please answer this I'm really confused and need help
Answer:
15/12 - 4/12
Step-by-step explanation:
1 1/4 = 5/4
5/4•3 = 15/12
1/3 = 4/12
How do you decide if this is absolutely convergent, conditionally convergent, or divergent using the ratio test? power series of n=1 to infinity N!/N^N and please thoroughly go over the simplification for the factorials. Thanks!
Answer:
Absolutely convergent
Step-by-step explanation:
∑ₙ₌₁°° n! / (nⁿ)
Using ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[(n+1)! / (n+1)ⁿ⁺¹] / [n! / (nⁿ)]│
Change division to multiplication of the reciprocal:
L = lim(n→∞)│[(n+1)! / (n+1)ⁿ⁺¹] × [nⁿ / n!]│
Rearrange the numerators and denominators:
L = lim(n→∞)│[(n+1)! / n!] × [nⁿ / (n+1)ⁿ⁺¹]│
The next step is to simplify the factorials. Remember:
n! = n × n−1 × n−2 × n−3 ... × 3 × 2 × 1
(n+1)! = n+1 × n × n−1 × n−2 × n−3 ... × 3 × 2 × 1
(n+1)! = (n+1) n!
L = lim(n→∞)│[(n+1) n! / n!] × [nⁿ / (n+1)ⁿ⁺¹]│
L = lim(n→∞)│(n+1) × [nⁿ / (n+1)ⁿ⁺¹]│
L = lim(n→∞)│nⁿ / (n+1)ⁿ│
L = lim(n→∞)│(n / (n+1))ⁿ│
L = lim(n→∞)│(n+1) / n)⁻ⁿ│
L = lim(n→∞)│(1 + 1/n)⁻ⁿ│
To evaluate this, we need to use natural log.
ln L = lim(n→∞) ln│(1 + 1/n)⁻ⁿ│
ln L = lim(n→∞) -n ln│1 + 1/n│
ln L = lim(n→∞) ln│1 + 1/n│/ (-1/n)
Apply L'Hopital's rule:
ln L = lim(n→∞) 1 / (1 + 1/n) (-1/n²) / (1/n²)
ln L = lim(n→∞) -1 / (1 + 1/n)
ln L = -1
L = e⁻¹
L < 1
The limit is less than 1, so the series converges.
Since the series is always positive, the absolute value of the series is the same as the series. Therefore, it also converges. So the series is absolutely convergent.
What is 5/4 divided by 1 1/12 as an improper fraction
Answer:
15/13
Step-by-step explanation:
1 1/12=13/12
5/4 divided by 13/12= 5/4*12/13
which cross simplifies to
5/1*3/13
which multiplies to 15/13
[tex]\frac{15}{13}[/tex] will be the improper fraction.
We have to find the improper fraction when [tex]\frac{5}{4}[/tex] is divided by [tex]1\frac{1}{12}[/tex].
Convert the mixed number [tex]1\frac{1}{12}[/tex] to a improper fraction first.
[tex]1\frac{1}{12}=\frac{12(1)+1}{12}[/tex]
[tex]=\frac{13}{12}[/tex]
Now divide [tex]\frac{5}{4}[/tex] by [tex]\frac{13}{12}[/tex],
[tex]\frac{\frac{5}{4}}{\frac{13}{12}}=\frac{5}{4}\times \frac{12}{13}[/tex]
[tex]=\frac{15}{13}[/tex]
Therefore, improper fraction [tex]\frac{15}{13}[/tex] will be the answer.
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2(3x-6)-2x+1=25 solve for x
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3x−6)−2x+1=25
(2)(3x)+(2)(−6)+−2x+1=25(Distribute)
6x+−12+−2x+1=25
(6x+−2x)+(−12+1)=25(Combine Like Terms)
4x+−11=25
4x−11=25
Step 2: Add 11 to both sides.
4x−11+11=25+11
4x=36
Step 3: Divide both sides by 4.
4x
4
=
36
4
x=9
Answer:
X = 6.5
Step-by-step explanation:
First we need to simplify and also remember the use of PEMDAS.
6x-12-2x+1=25
4x-11=25
Addition property of equality
4x=26
Division property of equality
x=6.5
one day 93 student arrived to take various exams at WAEC of there 56 took history paper in the morning and 59 took geography paper in the afternoon. There were 28 students who took one history and geography papers. find how many students who took none of the exam, find the number of students who took geography but not history paper, find the number of students who took history alone?
Answer:
28 took only the history paper
31 took only the geography paper
6 didn't do any exam.
Step-by-step explanation:
There is a total of 93 students.
56 took the history paper.
59 took the geography paper
28 students took both of them.
then in the 58 that took the history paper, we are counting the ones that only take the history paper and the 28 that took both papers, then the number of students that only took the history paper is:
56 - 28 = 28 took only the history paper.
We can use the same reasoning for the number of students that only took the geography paper:
59 - 28 = 31 took only the geography paper.
Now let's find the number of students that took neither paper.
First let's calculate the total number of students that took at least one paper, this is:
28 took both papers.
28 took only history
31 took only geography.
Total = 28 + 28 + 31 = 87
And there are 93 students in total, then the number of students that didn't took any paper is equal to the difference between the total number of students, and the number of students that took at least one, this is:
N = 93 - 87 = 6
6 students did not take any paper.
If C = m + 1 and B = m + 5, find an expression that equals 2c + 3B in
standard form.
Answer:
Step-by-step explanation:
2c+3b=2(m+1)+3(m+5)=2m+2+3m+15=5m+17
thanks
The expression 2 C + 3 B equals 5 m + 17 in standard form
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given data ,
The value of C = m + 1
The value of B = m + 5
To calculate the value of 2 C + 3 B , substitute the value of B and C in the expression , we get
2 C + 3 B = 2 ( m + 1 ) + 3 ( m + 5 )
= 2 m + 2 + 3 m + 15
= 5 m + 17
Therefore , 2 C + 5 B = 5 m + 17
Hence , the expression 2 C + 3 B equals 5 m + 17 in standard form
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What is the reason for the step taken from the proof below?
2 1 and 2 2 are vertical angles
Given
21 22
?
Congruent Complements Theorem
Linear Pair Postulate
Congruent Supplements Theorem
Vertical Ángles Theorem
Answer:
Option (4)
Step-by-step explanation:
Vertical angles theorem;
"Two vertically opposite angles formed by the intersection of two straight lines are congruent"
By this theorem,
If ∠1 and ∠2 are the vertical angles Given
∠1 ≅ ∠2 Vertical angles theorem
Therefore, Option (4) is the correct option.
The reason for the step taken from the proof is vertical angles theorem.
Vertically opposite angles are equals.
Therefore,
if ∠1 and 2 are vertical angles, they are equal.
This means the angles are congruent and are the same.
Therefore,
∠1 ≅ ∠2 follows the vertical angle theorem
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List the integers from least to greatest 4, -7, 6, -2,1
Answer: 6, 4, 1, -2, -7
Step-by-step explanation:
Answer:
-7,-2,1,4,6
Step-by-step explanation:
the greatest negative is the least and fron there it gets easier
Please help , thankssss
Answer:
36(?)
Step-by-step explanation:
i'm not sure,sorry
On a coordinate plane, points (1, 3), (5, 9), and (7, 12) are plotted. Which of the following statements are true about this graph? Check all that apply. The three points do not form a straight line. The three points form a straight line. The graph passes through the origin. The graph does not pass through the origin. The graph shows a proportional relationship. The graph does not a show a proportional relationship.
Answer:
its 2,4,6 - b,d,f
Step-by-step explanation:
The three points form a straight line.
The graph does not pass through the origin.
The graph does not a show a proportional relationship.
Answer:
2, 4, 6
Step-by-step explanation:
How many cups of potatoes are needed if 1 cup of diced ham is used?
Answer: I would answer but I can’t read the picture. I’m so sorry.
Step-by-step explanation:
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
five divided by a number
Answer:
this would be 4x
Step-by-step explanation:
this is because when you carry over the dividend you have to divide it by 2 and assuming y is 8 the answer would be 4x
What the answer be A or D?
Answer:
The answers to the questions are answered my text messages from you soon thank you for your support
Step-by-step explanation:
you have any questions please call me about human variation
You have a 6 inch by 8 inch picture that you framed. When you hung the picture,
you found that the entire area is 95.04 inches. What is the width of the frame?
By solving a quadratic equation, we will see that the width is 1.4 inches.
How to get the width of the frame?For a rectangle of width W and length L, the surface area is:
A = W*L
In this case, the length will be the length of the picture plus twice the width of the frame, and same for the width, then if we define x as the width of the frame we have:
L = 8in + 2x
W = 6in + 2x
Then the area equation is:
A = (8in + 2x)*(6in + 2x)
Here we know that the area is 95.04 square inches, then we can write:
95.04 in² = (8in + 2x)*(6in + 2x)
Now we need to solve this for x.
95.04 in² = 48 in² + 4x² + (28in)*x
This is a quadratic equation:
48 in² + 4x² + (28in)*x - 95.04 in² = 0
4x² + (28in)*x - 47.04 in² = 0
The solutions are given by Bhaskara's formula:
[tex]x = \frac{-28 \pm \sqrt{(28)^2 - 4*4*(-47.04)} }{2*4} \\\\x = \frac{-28 \pm 39.2 }{8}[/tex]
So there are two solutions, we only care for the positive one, which is:
x = (-28+ 39.2)/8 = 1.4
This means that the width of the frame is 1.4 inches.
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Kayla runs a website which sells music to students. There is a monthly fee of $6.00 and a charge of $1.50 for each song. If a person has a monthly bill of $18.00, how many songs did they buy?
Answer:
4
Step-by-step explanation:
AB is the bisector of CAD. If the mCAB = 2x+30 and m DAB=5x+12 what is the mCAB
Answer:
[tex]CAB = 42[/tex]
Step-by-step explanation:
Given
[tex]CAB = 2x + 30[/tex]
[tex]DAB = 5x + 12[/tex]
Bisector: AB
Required
Find CAB
Since AB bisects CAD, then
[tex]CAB = DAB[/tex]
This is so because AB divides CAD into two equal parts which are CAB and DAB
[tex]CAB = DAB[/tex]
Substitute values for CAB and DAB
[tex]2x + 30 = 5x + 12[/tex]
Collect Like Terms
[tex]2x- 5x = 12 - 30[/tex]
[tex]-3x = -18[/tex]
Divide both sides by -3
[tex]x = 6[/tex]
To solve for CAB, we simply substitute 6 for x in [tex]CAB = 2x + 30[/tex]
[tex]CAB = 2 * 6 + 30[/tex]
[tex]CAB = 12 + 30[/tex]
[tex]CAB = 42[/tex]
Solve for x.
|2x - 8| > 6
need help please
Answer:
x>7 or x<1
Step-by-step explanation:
Either 2x-8>6 or 2x-8<-6
Possiblity #1
2x-8>6
Add 8 to both sides
2x>14
Divide both sides by 2
Get x>7
Possibility #2
2-8>-6
Add 8 to both sides
2x<2
Divide both sides by 2
x<1
What is the volume of area rectangle prism that is 8 inches long 4 inches wide 12 inches high
Answer:
384 cubic inch
Step-by-step explanation:
Volume of rectangular prism
[tex] = 8 \times 4 \times 12 \\ = 384 \: {in}^{3} [/tex]
40% of students have brown eyes 10 have brown eyes how many atudents in the class
Answer:
25
Step-by-step explanation:
40%x = 10
40/100 x=10
x=10* 100/40
x = 25
Read carefully And choose the name of the student who made the correct statement.
Answer:
Sterling made the correct statement.
Step-by-step explanation:
Feel free to give brainliest.
Have an outstanding day!
Unit 3, Lesson 10: What Are Percentages?
1.
Fill in the blank: The value of 8 dimes is
% of the value of a dollar.
Answer:
I believe it is 80%
Step-by-step explanation:
Tell me if its right
Please help with this
Answer:
x-2/3 = g
Step-by-step explanation:
....................
The ratio of the number of hair bands to the number of ribbons in different gift boxes is 7:4. Which table best shows the number of hair bands and ribbons in different gift boxes?
Hair bands
Ribbons
7
11
14
22
21
33
Hair bands
Ribbons
3
4
12
16
21
28
Hair bands
Ribbons
18
15
23
20
28
25
Hair bands
Ribbons
14
8
21
12
28
16
Answer:
The first one
Step-by-step explanation:
because you multiply..
Answer:
the last one
Step-by-step explanation:
A sandwich shop sell sandwiches for $5 each and bottles of water for $1 each. The owner of this shop needs to earn a total of $100 by the end if the day
Answer:
66 day.
Step-by-step explanation:
have a great day
HELP MEEEEE
I need help on those two
Answer:
for the first question, the slope is -2/7 and the y-intercept is 2.
for the second question the slope is -1/3 and the y-intercept is 6
Step-by-step explanation:
2.) Ryan joined a holiday coffee club that charged him a one-time fee of $15 for a coffee mug, plus $2 every time he filled his mug throughout the holiday season. If he spent a total of $43 over the season, how many mugs of coffee did he buy? * A. m = 29
B. m = 14
C. m = 3
D. m = 56
Answer:
B.) m=14
Step-by-step explanation:
you would have to make the equation 15+2x=43. After doing so you would have to subtract both sides do the equation to end up with 2x=28. The last step is to divide both sides of the equation by 2 to get x=14.
Answer:
The answer is B) 14
Step-by-step explanation:
He spent a total amount of $43. A coffee mug costs $15. $43-15= 28. Each time the mug is filled, it costs $2.
28 divided by 2 is 14
1. Find m21 if mZCUB = 78.
Answer:
m < 1 = 78 - 48 = 30 .......