-11/10
Step-by-step explanation:
so first get the x on one side of the equal sign and the numbers on the other.
x+2 4/5 = 3 1/6
- 2 4/5 - 2 4/5
x= -11/10
The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. The distance between the Elm and Symphony Stations is how many miles?
Answer:
Distance between 2 stations= 8.94 miles
Step-by-step explanation:
The coordinates of Symphony Station is given by:
Symphony Station: (x₁ , y₁) : (1,2)
The coordinates of Elm station is given by:
Elm Station: (x₂ ,y₂) : (-3,-6)
We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as
d= √((x₂ - x₁)² + (y₂ - y₁) ²)
Substitute values
d= √((-3 - 1)² + (-6 - 2) ²)
d= √((-4)²+(-8)²)
d= √(16+64)
d=√80
d= 8.94 miles
what is the length of BC?please help!!!
Answer:
2.1
Step-by-step explanation:
using cosine theorem or substraction of two vector
b = AC = 5
c = AB = 6
a² = b² + c² - 2bc cos A
a² = 5² + 6² - 2*5*6 cos 20°
a² = 4.62
a = √4.62
a = 2.149
a ≈ 2.1
An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.
Answer:
.116
Step-by-step explanation:
7 pink and 5 black balls. = 12 balls
P( pink) = pink balls/ total = 7/12
replace
P( pink) = pink balls/ total = 7/12
so this is true for each case
P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736
=.115788966
To 3 decimal places
.116
What is the value of x in trapezoid ABCD?
x=15
x=20
x=45
X=60
Answer:
A. X = 15 is the correct answer.
Step-by-step explanation:
It's the only one that really makes sense.
Hope this helped :) :)
Answer:
15
Step-by-step explanation:
Can someone help me with this one I’m stuck please and thank you
Answer:
none of them it should be ac,cb,ab. From my point of view
[tex]S= \frac{n}{2} [2a + (n - 1)d][/tex]
Make d the subject of the formula. Please help I need answer ASAP. Please help!!!!!!!!!!!!
Answer:
d = [tex]\frac{2S-2an}{n(n-1)}[/tex]
Step-by-step explanation:
Given
S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]
Multiply both sides by 2 to clear the fraction
2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n
2S = 2an + n(n - 1)d ( subtract 2an from both sides )
2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)
[tex]\frac{2S-2an}{n(n-1)}[/tex] = d
Answer:
Hope this helps:)
If so please mark me as Brainliest.
Dwie proste przecinają się, tworząc kąty ostre i rozwarte. Miara kąta ostrego jest dwukrotnie mniejsza od miary kąta rozwartego. Oblicz miarę kąta rozwartego daje naj
Answer:
The obtuse angle is 120°.The acute angle is 60°.Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression
[tex]A = \frac{O}{2}[/tex]
Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}
Using all the given information, we have
[tex]O + \frac{O}{2}=180\°[/tex]
Solving for [tex]O[/tex], we have
[tex]\frac{3O}{2}=180\\ O=120\°[/tex]
Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?
Answer:
261
Step-by-step explanation:
Answer:
Katie gave away 261 gel pens.
Step-by-step explanation:
3/4 ÷348= 261
Diameter:
17 in
Radius:
Circumference:
What is the circumference of 17inches
An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats. 5/7 are being used. The business-class section has 64 seats. 5/16 are being used. Each economy-class section has 108. 5/9 in each section are being usd. Are more than half seats on the plane being used? Yes Or No Show your working.
HELP!!!!!!!
Answer:
first class section has 14 Seats
Seat used = (5/7) * 14 = 10 Seats
Business class Section has 64 Seats
Seats used = (5/16) * 64 = 20 Seats
Economy class Section has 4 * 108 = 432 Seats
Seats used = (5/9) * 432 = 240 Seats
Total Seats = 14 + 64 + 432 = 510
Total Seats Used = 10 + 20 + 240 = 270
270/510 = 270 ( 2 * 255) > 1/2
Yes , more than half of the seats being used
Step-by-step explanation:
which two operations are needed to write the expression that repersents "four times the difference of a number and three"
Answer:
4 (x-3)hhkjcdrtuvddistheansww
For each set of probabilities, determine whether the events A and B are independent or dependent.
Answer:
[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Apply the correct formula to check whether two events are independent or not
If the events A and B are independent, then:
P(A) x P(B) = P(A⋂B)
The formula of conditional probability:
P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)
Step 2: Perform the calculation
a)
P(A) x P(B) = (1/6) x (1/4) = 1/24
P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
b)
P(A) x P(B) = (1/2) x (1/4) = 1/8
P(A⋂B) = 1/8
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
c)
P(A) x P(B) = (1/2) x (1/6) = 1/12
P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
d)
P(A) x P(B) = (1/3) x (1/6) = 1/18
P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
Hope this helps!
:)
Need it for grade: What is X???
Answer:
x=6
Step-by-step explanation:
FG + GH = FH
4+x-3 = 2x-5
Combine terms
x+1 = 2x-5
Subtract x from each side
x+1-x = 2x-5-x
1 = x-5
Add 5 to each side
1+5 = x-5+5
6 =x
Answer:
x=6
Step-by-step explanation:
F G + G H = F H
4+x-3 = 2x-5
Help me!
A spinner can land on either red or blue. You spin the spinner and then roll a six-sided number cube.
What is the sample space of outcomes?
{(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
{(R, B), (B, R), (R, 1), (B, 2), (R, 3), (B, 4), (R, 5), (B, 6)}
{BR, 123456}
{1, 2, 3, 4, 5, 6, B, R}
A sample set contains every possible outcome.
The answer would be:
(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
The sample space of the outcomes is {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
How to determine the sample spaceThe sample space of the spinner is:
S1 = {R, B}
The sample space of the six-sided number cube is:
S2 = {1,2,3,4,5,6}
When the two sample spaces are merged together, we have:
S = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
Hence, the sample space of the outcomes is (a)
Read more about sample space at:
https://brainly.com/question/5750471
Find the gradient of the line segment between the points (-5,-2) and (-3,-8)
Answer:
- 3
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (- 3, - 8)
m = [tex]\frac{-8-(-2)}{-3-(-5)}[/tex] = [tex]\frac{-8+2}{-3+5}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason
gives Ian 2 baseball cards for every card Ian gives to Jason. After how many such trades will Ian
and Jason each have an equal number of cards?
Answer:
12 trades
Step-by-step explanation:
Let's call 'x' the number of trades they will do.
After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.
To find the number of trades when they will have the same amount of cards, we have that:
20 + x = 44 - x
2x = 24
x = 12 trades
The number of trades will Ian and Jason each have an equal number of cards is 12 trades
The calculation is as follows;
Let's us assume the x' be the number of trades they will do.
20 + x = 44 - x
2x = 24
x = 12 trades
Learn more: brainly.com/question/16911495
2y/5y cube + 4y square + 6y
Answer:
here down is the answer
(2y/5y)^3+4y^2+6y
8y^3/125y^3 +16y^2+6y
8/125+16y^2+6y
8/125+16y^2+6y=0
16y^2+6y+8/125=0
it is in the form of quadratic equation
formula :
x=(-b+-square root of b^2-4ac) /2a
here a=16,b=6&c=8/125
x=(-b+-square root of b^2-4ac)/2a
x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation
x=(-6+-31.91)/2
so
x=(-6+31.91)/2 first (+);
x=25.91/2
x=12.955;
x=(-6-31.91)/2 then(-);
x=-37.91/2
x=-18.955 ;
ans is = 12.955&-18.955;
What is the measure of the angle formed by a side of the given angle and the given angle's bisector? 30° 52° 172° 171°30'
Answer:
30°=15° 52°=26° 172°=86° 171'30°=85.75°
Step-by-step explanation:
okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.
our x examples, in this case, would be 30°,52°,172°, and 171'30°.
and that's how you find the answer to this type of question. :)))
I need help with this question
Answer:
15
[tex] \\ [/tex]
Step-by-step explanation:
[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]
Answer:
the missing side of the triangle is of length 15
Step-by-step explanation:
This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).
We can then find the length of the hypotenuse applying the square root on both sides:
[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]
Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}
Answer:
N = {13, 15, 17, 19} is the correct answer.
Step-by-step explanation:
We are given with the following details:
N is the set of odd natural numbers.
N contains the elements which are greater than 11 and less than 21.
To write: The set notation for the elements of set N.
Solution:
First of all, let us see what are odd natural numbers.
Natural numbers are the positive integers i.e. {1,2,3,4, ........ }
Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}
Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.
So the answer will be N = {13,15,17,19}.
.............................
Answer:
[tex]\frac{18p-5}{30}[/tex]
Step-by-step explanation:
Answer:
18p-5 over 30.
Found in the LCM method
What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot
3 x Superscript 5 Baseline y StartRoot 3 x y EndRoot
10 x Superscript 5 Baseline y StartRoot 6 x y EndRoot
3 x cubed y StartRoot 3 x squared y squared EndRoot
10 x cubed y StartRoot 6 x squared y squared EndRoot
[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]
The product of the given expression is;
B: 10x^(5) • y√(6xy)
Laws of ExponentsWe are given the expression;
√(5x^(8) • y²) × √(10x³) × √(12y)
Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)
Thus, our given expression will be;
√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]
Collecting like terms, we will have;√[(5x^(8) × 10x³) × (y² × 12y)]
This now gives;√(50x¹¹ × 12y³)
>> √(600x¹¹y³)
Now, further break down of this gives;
10x^(5) • y√(6xy)
Read more about Laws of exponents at; https://brainly.com/question/11761858
help help help help help help
Answer:
21.98
Step-by-step explanation:
C = Dπ
D = 7
7 * 3.14 = 21.98
Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?
Answer:12-9=3
Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9
A bag contains 2 red, 5 blue, and 2 white marbles. Find the probability of randomly picking a red marble, keeping the marble, and then picking a blue marble.
A) 7/8
B) 10/81
C) 5/36
D) 1/9
Answer:
5/36
Step-by-step explanation:
There are 9 marbles in the bag
P( red) = number of red / total
= 2/9
Keep the marble
1 red, 5 blue, and 2 white = 8 marbles
P( blue) = number of blue / total
= 5/8
P(red, keep,blue) = 2/9 * 5/8 = 10/72 = 5/36
What type of transformation has taken place in the picture shown?
10
D
В
-10
-5
0
5
10
C'
-B-5
A!
-101
O translation
O rotation
O reflection
O dilation
Answer:
Reflection and translation.Step-by-step explanation:
The picture shows the preimage ABCD and the image A'B'C'D'.
Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.
Therefore, the right answers are reflection and translation.
EASY question for y’all mathy people, multiple choice. Ez points, question in photo
Answer: c
Step-by-step explanation:
Answer:
Subtract both sides by 2x
Divide each side by 6
Step-by-step explanation:
2x+6 = 8x
Subtract both sides by 2x
2x+6 -2x = 8x-2x
6 = 6x
Divide each side by 6
6/6 = 6x/6
1 =x
Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)
Answer: -8.5625
Step-by-step explanation:
Use the distributive property.... ex: 8(x+1)= 8x+1 (by multiplying both by 8)
8x+1-31x-124=14-7x
Combine like variables
-23x-123=14-7x
Bring like variables to the same side of the equation by changing the sign(+,-)
-16x=137
Divide -16 by both sides
x=-8.5625
7. A shopkeeper buys 300 identical articles a tota
cost of $1500. He sells 260 articles at a price
20% above the cost price Each of the remain
anicles is sold at a price that is 50% of the si
price of each of the 260 articles Express the
shopkeeper's profit as a percentage of his cost price?
Answer this Q. so that i will mark u as tge brainliest!
Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
A number is chosen at random from the set of two digits numbers from 10 to 99 inclusive. what is the probability the number contains at least one digits 2?.
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
There are 99 - 10 + 1 = 90 numbers between 10 and 99
There are 18 numbers that have at least one two digit.
[tex]\frac{18}{90}=\frac{1}{5}[/tex]
