Answer: $62100
Step-by-step explanation:
The following can be deduced from the information given in the question:
Credit balance = $54000
Total revenues = $72,200
Total expenses = $48,300
Dividends = $15,800
Closing entry= Credit balance + Total revenues - (Total expenses + Dividends)
= $54000 + $72,200 - ($48300 + $15800)
= $126200 - $64100
= $62100
Mark is making concrete. Concrete is made by mixing cement, sand and gravel in the ratio 1:2:3. Mark wants to make 600kg of concrete. How much sand does Mark need
Answer:
200 kg
Step-by-step explanation:
To satisfy the ratio 1:2:3, Mark must use 100 kg cement, 200 kg sand, and 300 kg gravel
Answer:
6 kg
Step-by-step explanation:
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]
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!
:)
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
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
Which is the equation in slope-intercept form of a line that contains points D and E?
Answer:
y=1x
Step-by-step explanation:
theirs no b because it goes through (0,0)
to find slope you do 2-4 over 2-4 and it equals 1
hope this helps:)
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
What is the slope of the ramp shown in the diagram below?
Answer:
Step-by-step explanation:
slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A
The slope is negative as the ramp slopes down from left to right
The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a diagram of a ramp.
It can be picturized as a right angled triangle.
We know that,
Slope = Change in y coordinates / change in x coordinates.
Horizontal distance = change in x coordinates = 10
Vertical distance = change in y coordinates = 3
Substituting,
Slope = 3/10
Hence the slope of the ramp is 3/10.
Learn more about Slope here :
https://brainly.com/question/3605446
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Calcula: t15 + t25 Si se sabe que: 26; 31; 36; 41; …
Answer:
242
Step-by-step explanation:
Here, we want to calculate t15 + t25
Mathematically, nth term is
a + (n-1)d
here, a = 26 and d = 31-26 = 5
t15 = 26 + (15-1)5
t15 = 26 + 70
t15 = 96
t25 = 26 + (25-1)5
t25 = 26 + 120
t25 = 146
t15 + t25 = 96 + 146 = 242
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
PLEASE HELP URENT What is the length of leg s of the triangle below?
45°
412
90°
45°
S
O A. 4
O B. 2
O C. 4.4
O D. 1
O E. 52
O F. 5.6
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = s / 4 sqrt(2)
Multiply each side by 4 sqrt(2)
4 sqrt(2) *sin 45 = s
4 sqrt(2) * 1/ sqrt(2) =s
4
if f(x) is a linear function and the domain of f(x) is the set of all real number which statement cannot be true?
Options:
The graph of f(x) has zero x-intercepts. The graph of f(x) has exactly one x-intercept. The graph of f(x) has exactly two x-intercepts. The graph of f(x) has infinitely many x-intercepts.Answer:
(C)The graph of f(x) has exactly two x-intercepts.
Step-by-step explanation:
Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.
(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.
(B)A linear function can only intersect the x-axis at exactly one point.
(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.
However:
A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.
The statement which cannot be true is Option C.
Answer:
C
Step-by-step explanation:
yes
Diameter:
17 in
Radius:
Circumference:
What is the circumference of 17inches
.............................
Answer:
[tex]\frac{18p-5}{30}[/tex]
Step-by-step explanation:
Answer:
18p-5 over 30.
Found in the LCM method
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.
ASAP PLS! WILL MARK BRAINLYEST AND 6TH GRADE MATH
Answer:
The correct answer is B!
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Find the value of z and
simplify completely.
Answer:
z = 6√2 = 8.49
Step-by-step explanation:
In this question, we are to find the value of the length z.
Mathematically, using Pythagoras’s theorem we can do this.
The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.
Kindly note that the hypotenuse is the side that faces the angle 90
These are the points needed to solve for z
Using Pythagoras,
z^2 = y^2 + 4^2
z^2 = y^2 + 16 •••••••(i)
x^2 + z^2 = 20^2
x^2 + z^2 = 400 •••••••••(ii)
z^2 + 16^2 = x^2. ••••••••(iii)
Substitute iii into ii
z^2 + 16^2 + z^2 = 400
2z^2 + 256 = 400
2z^2 = 400-256
2z^2 = 144
z^2 = 72
z = √(72)
z = 6√2
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
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.
What is the coordinate of point P that lies along the directed line segment from Q(2, 5) to R(7, 12) and partitions the segment in the ratio of 3 to 2? Your answer: (3, 4.2) (4.5, 8.5) (5, 9.2) (5, 7)
Answer:
Option (3). (5, 9.2)
Step-by-step explanation:
If Point P divides the line segment QR in the ratio of m : n.
Let the coordinates of the point P are (x, y)
Since coordinates of the point P are given by,
x = [tex]\frac{m(x_2)+n(x_1)}{m+n}[/tex]
y = [tex]\frac{m(y_2)+n(y_1)}{m+n}[/tex]
Where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the ordered pairs representing points Q and R.
If [tex](x_1,y_1)[/tex] represents (2, 5) and [tex](x_2,y_2)[/tex] represents (7, 12),
Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.
x = [tex]\frac{3(7)+2(2)}{3+2}[/tex]
x = [tex]\frac{25}{5}=5[/tex]
y = [tex]\frac{3(12)+2(5)}{3+2}[/tex]
y = [tex]\frac{46}{5}=9.2[/tex]
Therefore, Point P will be represented by (5, 9.2)
Option (3) will be the answer.
Help! I need to know if 7√3+2√9 is rational or irrational
Answer:
Irrational
Step-by-step explanation:
[tex]7\sqrt{3}+2\sqrt{9}= \\\\7\sqrt{3}+2(3)= \\\\6+7\sqrt{3}[/tex]
Therefore, this is irrational. Hope this helps!
[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.
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:
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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
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
Ubstitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. 20 > 86 − ℎ. Substitute 46 for ℎ.
Answer:
The number sentence is false.
Step-by-step explanation:
The inequality given is
20 > 86 − ℎ
We are to substitute the value of h as 46 to see if the inequality is true or false.
20 > 86 - 46
20 > 40
Since 20 is not greater than 40, the number sentence is false.
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;
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
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 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. :)))