Answer: 15
Step-by-step explanation:
The 11th term of arithmetic progression is 43. We can use this to get the common difference which will be:
a + (n - 1)d = 43
where,
a = first term = 3
n = nth term = 11
d = common difference = unknown
Therefore, a + (n - 1)d = 43
3 + (11 - 1)d = 43
3 + 10d = 43
10d = 43 - 3
10d = 40
d = 40/10
d = 4
Common difference = 4
Therefore, 4th term will be:
= a + (n - 1)d
= a + (4-1)d
= a + 3d
= 3 + 3(4)
= 3 + 12
= 15
The 4th term is 15
−3x−8y=−8
y=2−x
yes or no
Answer:
No
Step-by-step explanation:
-3x-8y=-8
3x+8y=8 (multiply all terms by -1)
8y=8-3x (take 3x from both sides)
y=1-(3/8)x (divide each term by 8)
1-(3/8)x ≠ 2-x
Multiplying 3 2/4 x 1 1/3 in mixed numbers
The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly
Answer:
d
Step-by-step explanation:
of course it is Charlie as he just walked 11.8 miles
At a football stadium, 4% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
solution
4%=260
100%=?
=(100x260)/4
=6500
Percentage of fans in the stadium who were teenagers = 4%
Number of teenagers in the match = 260
Let the total number of people at the stadium be x.
Which means :
[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]
[tex] =\tt \frac{4}{100} \times x = 260[/tex]
[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]
[tex] = \tt \frac{4x}{100} = 260[/tex]
[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]
[tex] =\tt x = \frac{26000}{4} [/tex]
[tex]\color{plum} =\tt x = 6500[/tex]
▪︎Therefore, number of people at the stadium = 6500
Question 1 of 5
Which three side lengths best describe the triangle in the diagram?
O INCHES
1
2
3
4
5
OM 1
2
3
4
5
6
7
8
9
10 11 12 13
O INCHES
5
9 10 11 12 13
w
8
4
7
A
6
5
3
4
3
.
-N
2
O
0 i 2
1
O INCHES
w
The three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm
What is a triangle?A polygon with three sides and angles is called a triangle.
Given is a figure, with the rulers attached to each side, we need to see what are the measurements of the sides of the triangle,
The first side is showing a measure of 13
The second side is showing a measure of 12
And, the third one is showing a measure of 5
This is a right triangle because the measurements are Pythagorean triplets.
Hence, the three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm
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Find the midpoint between each pair of points.
13. (7,-2) (-4,2)
BONUS POINTS IF RIGHT
Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?
Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.
Step-by-step explanation:
Answer:
The ratios change as the position of D changes, but the two ratios remain equal to each other
Step-by-step explanation:
10. A rectangle has a perimeter of 22 cm. If the length of the rectangle is 2 cm more than two times the
width, what are its dimensions?
Answer:
w = 3 cm
l = 8 cm
Step-by-step explanation:
let 'w' = width
let '2 + 2w' = length
P = 2l + 2w
22 = 2(2 + 2w) + 2w
22 = 4 + 4w + 2w
22 = 4 = 6w
18 = 6w
w = 3
length = 2 + 2(3) = 18
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.
Step-by-step explanation:
An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Amount of decrease = 82-60 = 22
percentage decrease = 22/82 ≅ 0.268 = 26.8%
A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling
Divide miles by time:
77 9/16 miles / 8 1/2 hours =
Rewrite as I’m proper fractions:
1241/16 / 17/2
Flip the second fraction over and multiply:
1241/16 x 2/17 = (1241x2)/(16x17) =
2482/272 = 9 1/8 miles per hour
Hi there!
Simplify each terms:
[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]
Divide each terms:
[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]
Simplify terms:
[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]
Final Result:
[tex]9\frac{1}{8}[/tex]
Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)
Answer:
Step-by-step explanation:
The midpoint between two points is just the average of the coordinates.
mp=((x2+x1)/2, (y2+y1)/2)
mp=((-6-2)/2, (-8-6)/2)
mp=(-4, -7)
1. A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.
Answer:
What exactly is the question here ？？ （lol）
hello hello I need help asap
Answer:
im not smart
Step-by-step explanation:
2 z − 22 facorise fully
Answer:
Factorising fully
then
2z - 22
= 2( z - 11)
1. Which numerical expression has the value of 60?
4. (12+ 4) 3 b. 12 - 14 - 3) c.** 12 + 3)
d. 12 - 4-3
Answer:
sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry
10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .
Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
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help me solve this please
Answer:
the answer is 0.7692
Step-by-step explanation:
thank u it really helped
Answer:
who are you thanking? Lol
Step-by-step explanation:
Bob bought 24 hockey tickets for 83$
Answer:
i think the answer is $3.45
Step-by-step explanation:
just had to divide the two numbers
can someone plz help me out
Step-by-step explanation:
A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.
em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?
Answer:
Average speed in km / h = 2.7 km/h
Step-by-step explanation:
Given:
Total distance = 54,000 m
Total time = 72,000 sec
Find:
Average speed in km / h
Computation:
Average speed = Distance / Time
Average speed = 54,000 / 72,000
Average speed = 0.75 m/s
1 m/s = 3.6 km/h
So,
Average speed in km / h = 0.75 x 3.6
Average speed in km / h = 2.7 km/h
find the Sum and the product
of the root of the Equadration
1/3and 2/3
Answer:
sorry do not know
Step-by-step explanation:
.
Answer:
9x² - 9x +2
Step-by-step explanation:
general formula =x²-(sum of roots)x+(product of roots)
The Venn diagram below represents the students in a particular high school.
How many female students have a part-time job and a driver's license?
Female
Part-time job
74
111
56
45
92
38
137
89
Driver's license
No
Answer:
C. 45
Step-by-step explanation:
Since the question is asking how many females have both a driver's license and a part-time job. So you need to find the number that reoresents all three of these categories. This category is shown in the very center with the number 45.
Hope it helps!
Answer:
C. 45
Step-by-step explanation:
Because its inside all three circles that you want.
15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help
please answer this as soon as possible
Answer:
Realmente no sé, lo siento muchísimo :(
Estoy tan triste que no puedo ayudar: ((((
Step-by-step explanation:
What is the great common factor between 68 and 54?
Answer:
2
Step-by-step explanation:
Help me pls I don't know what I'm doing
Answer:
B. 3.6
Step-by-step explanation:
I have no idea if this is right but my logic is 3.6 - 3.6 = 0
Answer:
B. 3.6
Step-by-step explanation:
The equation is
w - 3.6 = 0
That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.
That is the explanation.
The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.
w - 3.6 = 0
Add 3.6 to both sides.
w - 3.6 + 3.6 = 0 + 3.6
w = 3.6
Answer: B. 3.6
What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22
Answer:
13, 21, 29
Step-by-step explanation:
the difference is 8
so add 8 to last numbers
Answer:
A
Step-by-step explanation:
u subtract each number by 8 then once u get to 5 u start adding them all by 8
Line A is parallel to Line B
9. In the diagram, what is the value of x?
A. 78°
B. 108°
C. 98°
D. 82
Answer:
D or A
Step-by-step explanation: