[tex]\huge \bf༆ Answer ༄[/tex]
As we know, sum of interior angles of a triangle is 180°
that is ~
[tex] \sf13x + 2 + 5x - 7 + 3x - 4 = 180[/tex][tex] \sf21x - 9 = 180 [/tex][tex] \sf21x = 180 + 9[/tex][tex] \sf x = \dfrac{189}{21} [/tex][tex] \sf x = 9 \degree[/tex]
Hence, value of x is 9°
Answer:
x = 9Step-by-step explanation:
Sum of interior angles is 180:
(13x + 2) + (5x - 7) + (3x - 4) = 18021x - 9 = 18021x = 189x = 189/21x = 9Help I need the answers ASAP
Answer:
7296 / 24 = 304
9216 / 18 = 512
HELP PLEASE!!!
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions.
The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.
The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.
The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.
The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.
Learn more about graphs of linear equations here: https://brainly.com/question/370278
At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?
at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]
[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]
Ryan needs to buy some pencils. Brand A has a pack of pencils for 7.49$ . Brand B has a pack of pencils for 9.97$ .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
Unit Price for Brand A: $0.31 per Pencil.
Unit Price for Brand B: $0.35 per Pencil.
Brand A is the better buy.
Step-by-step explanation:
Divide 7.49 by 24 to get 0.312 and round down to 0.31.
Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)
Compare 0.31 and 0.35. (0.31 < 0.35)
if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)
Answer:
4
Step-by-step explanation:
if 5/7 of x is 5/21 then what's x?
[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]
Answer:
[tex]x = \frac{1}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
write 6 out of 40 as a fraction a decimal and a percent
Answer:15% , 0.15 , 6/40 or 3/20
Step-by-step explanation:
The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.
Answer:
3/20, 0.15, 15%
Step-by-step explanation:
Fraction:
6/40 un-simplified
3/20 simplified
Decimal:
0.15
Percentage:
15%
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
Which of the following shows the correct solution steps and solution to 4x + 9 = -23?
Exact Form:
x
=
7
2
x
=
7
2
Decimal Form:
x
=
3.5
x
=
3.5
Mixed Number Form:
x
=
3
1
2
Answer:
X=3.5
Step-by-step explanation:
What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.
Hope it helped!
Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief
Answer:
0.65 cents
Step-by-step explanation:
12x4=48 total
31.20/48 = 0.65 cents each
I'll put this as random but you can answer it...
ill give yall 10 points if yall do it!
Answer: 4 gallons = 15 liters, 8 liters = 2 gallons, 12.5 liters = 3 gallons, and 6 gallons = 23 liters.
Answer:
yea no
Step-by-step explanation:
i really don't know sorry tho
What is the solution to this system?
8
Answer:
(2,2)
Step-by-step explanation:
The solution to a system is the point on the graph where both lines intersect.
General admission to the fair is $8.00, and rides cost $3.00 each.
Answer:
$24.00
Step-by-step explanation:
8x3=24
What is the volume of the box of snacks if the height is 7 inches?
(MUST BE DONE BY TOMORROW!)
Answer:
it's a
Step-by-step explanation:
the formula for volume is height×width×length
7×4×3=84
voila!
of the negative number, and of the
16
6 The sum of a negative number,
negative number is – 13.2. What is the negative number?
Answer:
semoga jawabannya benar
Step-by-step explanation:
Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.
Answer:
179.2
Step-by-step explanation:
166 = x + -13.2
166 - -13.2 = 166 + 13.2 = 179.2
A. The graph shows how much money Farrah has in her savings account after weeks of saving on a regular basis. How much money does Farrah have in her savings account after 10 weeks of saving?
Answer:
Step-by-step explanation:
wheres the graph
Answer:
How much money does priya have after 10 weeks? 320
How long did it take her to save 200? 5
How much did priya have in her savings account when she started to save regularly? 80
Step-by-step explanation:
niko made a small pizza using 5 ounces of chease and 3 ounces of sauce he wants to make a large pizza with 10 ounces of chease using the same ratio of cheese sauce
Answer:
Step-by-step explanation: here I am pretty sure it is 6
CAN SOMEONE HELP ME PLEASE <3
Answer:
It's Micrograms. The rest are from the imperial system, which is the system that is commonly used in the United States. The metric system is an international system for scientists and mathematicians to use so that sharing and giving information is a lot easier when conveying to other people around the world.
the number obtained on rationalizing the denominator of 1/(√7--2) is
[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Given that:
1/(√7 - 2)
The denominator is (√7-2).
We know
The rationalising factor of (√a-b) is (√a+b)
Therefore, the rationalising factor of √7-2 is √7+2.
On rationalising the denominator them
⇛[1/(√7-2)]×[(√7+2)/(√7+2)]
⇛[1(√7+2)]/[(√7-2)(√7+2)]
Since, (a-b)(a+b) = a²-b²
Where, a = √7 and b = √2.
⇛[1(√7+2)]/[(√7)²-(2)²]
⇛[1(√7+2)]/[(√7*7)-(2*2)]
⇛[1(√7+2)]/[7-4]
⇛[1(√7+2)]/3
⇛(√7+2)/3
Hence, the denominator is rationalised.
also read similar questions:
what is solve 10<-2/3(9+12b)
What is the slope and y-intercept that represents this table?
Answer:
[tex]m=-2\ 000; q=17\ 000[/tex]
Step-by-step explanation:
First of all, whoever formatted that table is a criminal.
Now, slope first, it's the easiest: the slope in a table like that is the difference between two consecutive position: ie [tex]13\ 000 - 15\ 000[/tex] or [tex]11\ 000-13\ 000[/tex], being careful of subtracting the higher position (not value!) minus the lower, or right minus left. Your slope thus is [tex]-2 \ 000[/tex]. Intercept is found in two ways. One is writing the line in point slope form based on any two values and the slope we found, or since we're jumping integer to integer, you can look at the table in reverse and notice that if you go backwards (ie from 4 to 3 to 2 to 1) the value is increasing by 2000 every time. The intercept [tex]q[/tex]will be the value at 0, or 17 000
Joe lost his part-time job, which reduced the net family income by 20%. His wife Janice decided to work overtime to compensate for the lost income. Other things being equal, by what percentage must her net salary increase in order to arrive at the same net family income as they had before Joe lost his job?
The percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the salary of Joe be represented by x, while the salary of Janice is represented by y.
Since the sum of the salary of Joe and Janice is the net income of the family. Therefore, the net salary when Joe had a job will be,
x + y₁ = 100%
Now, it is known that Joe lost his job, which reduced the net family income by 20%. Therefore, the net salary now will be only 80% which will be equal to the salary of Janice. Thus, we can write,
y₁ = 80%
Further, Janice decided to work overtime to compensate for the lost income. Therefore, we can write,
y₂ = 100%
Furthermore, the percentage change in salary of Janice can be written as,
Percentage Change = [(100% - 80%)/80% ] × 100%
= 20/80 × 100%
= 25%
Hence, the percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
Learn more about Percentages:
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Subtract 8 feet from 9 yards, 1 foot.
7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foot
Answer:
6 yards, 2 feet
Step-by-step explanation:
9yards and 1 ft - 8 feet= 6.66666667 yards
6.66666667 yards=6 yards, 2 feet
6 yards, 2 feet
hope it helps
The local movie theater, Scene It Cinema, had a special showing of the latest dinosaur movie. There were 6 youth tickets sold for every 5 adult tickets sold.
If there were 70 adult tickets sold, how many movie tickets were sold altogether?
Answer:
Let the youth and adult tickets be y and x respectively.
6y + 5x ---> (1)
From statement (1):
(1) × 14
84y + 70x
For every 70 adult tickets sold, 84 youth tickets were sold.
Total number of tickets sold= 70 + 84
= 154
Find the value of t for the given values of d and r. d = 286, r = 55
whats -2 - 19t if t=-1
Answer:
17
Step-by-step explanation:
-2 - 19 x -1
-2 + 19(because two negatives make a positive)
17
Answer:
17 is the answer.
Step-by-step explanation:
Given:
t = -1Let's substitute.
=> -2 - 19t
=> -2 - 19(-1)
=> -2 - (-19)
=> -2 + 19
=> 17
Therefore, 17 is the answer.
Hoped this helped.
Not graded help please
Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16
Answer:
linear
Step-by-step explanation:
The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.
first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3
second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3
The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.
Please helpppp quick
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100