200 children went on holiday. 18% of the children went to Wales. 27% of the children went to Scotland. How many more children went to Scotland than went to Wales?
Answer:
18 children
Step-by-step explanation:
The computation of the more children went to scotland is as follows:
Given that
There is 200 children
out of which 18% went to wales i.e. = 200 × 18% = 36
And, 27% went to scotland i.e. = 200 × 27% = 54
So, the more children went to scotland is
= 54 - 36
= 18 children
If m∠VBC=(3x+4)∘, what is the value of x?
Answer:
x = 29
Step-by-step explanation:
⇒ x + ( 2 x + 2 ) + ( 3 x + 4 ) = 180 ⇒ 6 + 6 = 180 ⇒ 6 x = 180 − 6= 174 ⇒ x = 174 6 = 29
Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,
and so on. On which day will Roberta jog 13 laps if the pattern continues ?
Answer:
Sixth day
Step-by-step explanation:
Keep adding 2 until you get to 13
What equation could be written for this table?
63°+4x+13=180
Find the m
Answer:
y=x+10
Step-by-step explanation:
solve 2(x + 3) = x-4 pls <3
Answer:
Step-by-step explanation:
Step 1
Having all the
x
terms on one side of =
Subtract
2
x
from both sides
2
x
−
2
x
+
3
=
3
x
−
2
x
−
4
0
+
3
=
x
−
4
Swap round
x
−
4
=
3
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step 2
Have just
x
on the left of =
Add
4
to both sides
x
−
4
+
4
=
3
+
4
x
=
7
Here are the ingredients for making pineapple sorbet for 6 people. 800g 4 egg whites 1/2 lemon 100g cater sugar Ann makes pineapples sorbet for 9 people . workout how many pinapple she uses
Please help me :( please
Answer:
I did no math but just by looking at it am like 70 percent sure it's 6.2
Two out of 15 people surveyed were left handed. Based on the data how many people would you predict to be left handed out of 405 people?
A.15
B.27
C.810
D.54
Answer: D. 54 people
Step-by-step explanation:
Since there are a total of 405 people, you first divide 405 by 15 to get 27. Then multiply 27 by 2 considering two in 15 people are left handed, and you're left with 54 people.
The first two terms of a sequence are a1 =4 and a2= -2. Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. Find a3+b3
Answer:
a3 + b3 = -7
Step-by-step explanation:
When the sequence is A.P
a1 =4 and a2= -2
Common difference,d = a2 - a1
= -2 - 4
d = -6
a3 = third term
a3 = a1 + 2d
= 4 + 2(-6)
= 4 - 12
= -8
a3 = -8
When the sequence is geometric
a1 =4 and a2= -2
Common ratio, r = a2/a1
= -2/4
r = -1/2
Or
r = -0.5
b3 = third term
b3 = ar²
= 4 * (-1/2)²
= 4 * 1/4
= 4/4
= 1
b3 = 1
a3 + b3 = -8 + 1
= -7
a3 + b3 = -7
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
Answer:
You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.
The probability of selecting a red marble the first time is 1313.
(This is because 4 out of 12 marbles are red and412412 reduces to 1313.
The probability of selecting a red marble the second time is 1313.
The marble selections are independent and you can multiply the two probabilities to get the following:
probability of getting 2 reds = (13)2(13)2
=19=19.
So the probability of getting two reds is 1919.
3 points
4.8 cm
B
3.6 cm
Calculate the length of AC.
Answer:
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
3.6cm
match the rule to the sequence
n + 5 8, 13, 18, 23, 28
5n 6, 7, 8, 9, 10
3n + 5 5, 10, 15, 20, 25
5n + 3 8, 11, 14, 17, 20
Answer:
a) aₙ = n+5 → 6,7,8,9,10....
b) aₙ = 5n → 5,10,15,20,25...
c) aₙ = 3n+5 → 8,11,14,17,20
d) aₙ = 5n+3 → 8,13,18,23,28
Step-by-step explanation:
Explanation
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n+5
Put n =1
a₁ = 1+5 =6
put n =2
a₂ = 2+5 =7
Put n=3
a₃ = 3+5 =8
and so on
The sequence 6,7,8,9,10....
b)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n
Put n=1 ⇒ a₁ = 5
put n=2 ⇒ a₂ = 10
and so on
5,10,15,20,25..
c)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5
put n=1 ⇒ a₁ =8
Put n=2 ⇒ a₂ =11
Put n=3 ⇒ a₃ = 14
and so on
The sequence 8 , 11, 14 , 17 , 20 ..
d)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3
Put n=1 ⇒ a₁ = 8
Put n=2⇒ a₂ = 13
Put n=3 ⇒a₃ = 18
and so on
The sequence 8,13,18, 23..
What is five sevens subtracted by two and thirds
Answer:
1/21
Step-by-step explanation:
Evaluate the expression when b = -2 and c = 2. b - 8c
Answer:
- 18
Step-by-step explanation:
For this problem, you want to replace the letters with the values they gave you so...
b - 8c into -2 - 8 (2)
1) Simplify 8 × 2 to 16.
−2 − 16
2) Simplify.
−18
Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.
Answer:
59.04°
Step-by-step explanation:
Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.
We solve using the Trigonometric function of Tangent
tan x = Opposite/ Adjacent
tan x= 50 ft/30ft
x = arc tan (50 ft/30 ft)
x = 59.036243468°
Approximately = 59.04°
Please help me asap. I need an answer and full explanation. 1st person to complete that gets Brainliest. Question: Amelia likes to collect pokemon cards. She currently has 34 water cards and 29 fire cards. How many more fire cards does she need to collect so her ratio of the number of water cards to fire cards is 2:3?
Thanks and stay perfect.
Answer:
22 cards
Step-by-step explanation:
Set up a ratio.
[tex]\frac{34}{29+x} =\frac{2}{3}[/tex]
[tex]58+2x=102[/tex]
[tex]2x=44[/tex]
[tex]x=22[/tex]
Check: Add 22 to 39. 22+29=51
34/51 = 2/3
Have a great day
what 2 numbers multiply to 77 and add to 18
Answer:
11 and 7
Step-by-step explanation:
11+7=18, and 11 x 7=77
Hope I helped!
Answer:
i think it is 11 and 7
Step-by-step explanation:
URGENT How many 1/2 inch cubes does it take to fill a box with a width of 3 1/2 inches, length of 2 1/2 inches, and a height of 1 inch?
Step-by-step explanation:
3 1/2 x 2 1/2 x 2 1/2
=?
? ÷1/2= answer
Answer:
I think the answer will be about 17 1/2 cubes needed.
Step-by-step explanation:
Hope this helps!
Can the sides of a triangle have lengths 2, 4, 5
Answer:
yes
Step-by-step explanation:
triangles like obtuse ones dont need equal sides
Answer:
yes
Step-by-step explanation:
the two sides add up to more than the hypotenuse
what is 12% as a fraction in simplest form?
Answer:
10
Step-by-step explanation:
you convert the 12% so that it becomes a fraction...it becomes 12\100 , then put it in its lowest form ...
Extra points for hemo
A company's quality control department found an average of 5 defective models for every 1000 models made. If the company produced 60,000 models in a year how many if them would be expected to be defective?
Answer:
300
Step-by-step explanation:
5:1000 can be desimplified to 300:60000
During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he inrceased the number of parts he usually makes?
Answer:Percent Increase n the number of parts usually made = 80%
Step-by-step explanation:
Percent Increase = (Increase / Initial Number of parts made daily) X 100/1
Initial Number of parts made daily = 45
Current number of parts ,made daily = 81
Percent Increase = 81-45/ 45 x 100
=36/45 x100/1
= 0.8 x 100
= 80%
Answer:
80 percent
Step-by-step explanation:
The diagram shows triangle PQR.
PSR is a straight line.
size of angle PQS : size of angle SQR = 3:1
S
Work out the size of angle PSQ
Answer:
Angle PSQ is 61°
Step-by-step explanation:
In the triangle ΔPQR, we have;
m∠QPS = 65°
m∠PRQ = 43°
Line PSR is a straight line
m∠PQS : m∠SQR = 3:1
Therefore;
∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle
∴ ∠PQR = 180° - (65° + 43°) = 72°
∠PQR = 72°
∠PQR = m∠PQS + m∠SQR by angle addition postulate
m∠PQS : m∠SQR = 3:1
∴ m∠PQS = 3 × m∠SQR
∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR
∠PQR = 4 × m∠SQR
∴ 4 × m∠SQR = ∠PQR = 72°
m∠SQR = 72°/4 = 18°
m∠PQS = 3 × m∠SQR = 3 × 18° = 54°
m∠PQS = 54°
∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem
∴ ∠PSQ = 180° - (65° + 54°) = 61°
Angle ∠PSQ = 61°.
In which set of ordered pairs is y a function of x?
A.{(3, 2), (3, 5), (3, 7)}
B.{(+1, 3), (0, 2), (1, 3)}
C.{(0, 1), (1, 2), (1,3)}
D.{(-2, 0), (0, 2), (2, 2)}
78x − 12 = 316x + 5 what is the answer pls help
Answer:
-0.0714 approx
Step-by-step explanation:
78x − 12 = 316x + 5
Bring all the like terms together
78x -316x = 5 + 12
-238x = 17
∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)
Warren made 5 pans of brownies. He will slice the brownies into pieces, and each piece will be 1/10 of the size of a pan. How many slices of brownies will Warren create? a. 10 b. 25 :c. 50. d. 100
Answer:
c
Step-by-step explanation:
If a piece is equal to 1/10 of a pan , a pan would make 10 brownies
5 pans would make , 10 x 5 = 50 brownies
Answer: c
Step-by-step explanation: each pan is 10 slices so if you multiply that with how many pans you have which is 5 and 5 x 10 = 50
Ana has 296 coins in her coin collection. She
same number of coins in each of 7 jars. About how
Many coins are in each jar?
HELP QUICK. DONT PUT THE .NUMBER ANSWER PLS. PUT A SOLID ANSWER
Answer:
2,072
296 × 7 = 2,072
Step-by-step explanation:
...
Please help me I want a good grade!!
Answer:
a
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
To figure out if a set of angles are in a triangle, make sure they add up to 180
F) 58,70,62 58 + 70 + 62 = 190 This option is incorrect
G) 41,68,71 41 + 68 + 71 = 180 This option is correct
H) 68,60,52 68 + 60 + 52 = 180 This option is correct
J) 73,42,65 73 + 42 + 65 = 180 This option is correct
Since option F did not equal 180, F is the answer.