1. Observe problem
Restriction: Decimal Form
Least common multiple of 15 and 20 is: 60
Time sixty on both sides
40=3x
x=40/3
Therefore, decimal representation would be 13.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...
Answer: 13.3 repeating
Step-by-step explanation:
First you cross multiple 10 times 20 to get 200=15x. Then you divide 200 by 15 to get 13.3 repeating
A rectangular box is 5 cm long and 6 cm wide. How many cubical packets each of 1 cm^3 can be placed on the floor of its base? If 10 layers of such packets are placed on the floor, how many packets are there?
a. The number of cubical packets on the floor is 30.
b. the number of cubical packets in 10 layers is 300 layers.
Length of cubical packetSince the volume of each cube is 1 cm³ and the volume of a cube V = L³ where L = length of side,
So, L = ∛V = ∛1 cm³ = 1 cm
So, the sides of the cubes are 1 cm long
Volume of layerAlso, since the rectangular box is 5 cm long and 6 cm wide, to find the number of 1 cm³ cubical boxes that can be placed on the floor, we find the volume of that layer which is V = 5 cm × 6 cm × 1 cm = 30 cm³
Number of cubical packets on the floorThe number of cubical packets on the floor is 30.
So, the number of cubical packets required, n = volume of layer/volume of cubical packet
= 30 cm³/1 cm³
= 30
The number of cubical packets on the floor is 30.
b. Number of cubical packets in 10 layersThe number of cubical packets in 10 layers is 300 layers.
If there are 10 layers, then the number of packets on the layers, N = number of layer × number of packets/layer
= 10 × 30
= 300 layers.
So, the number of cubical packets in 10 layers is 300 layers.
Learn more about cubical packets here:
https://brainly.com/question/1279713
Write the equation of the line in standard form with y-intercept
of 7 and passes through the point (1,5).
Answer:
2x+y=7
Step-by-step explanation:
Hi there!
We are given that a line has a y intercept of 7 and passes through the point (1,5)
We want to write the equation of this line in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal zero, and a cannot be negative
To start, we can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We are given that the y intercept is 7, so we can plug it in as b into the equation.
Here is the equation of the line so far:
y=mx+7
Now we need to find m
as the equation passes through the point (1,5) we can use it to help solve for b.
Substitute 1 as x and 5 as y into the equation.
5=m*1+7
Multiply
5=m+7
Subtract 7 form both sides
-2=m
Substitute -2 as m into the equation
y=-2x+7
This is the equation in slope-intercept form
However, remember that we aren't done, as the problem wants us to have the equation in standard form
In standard form, the terms containing x and y are on the same side; right now, they are on opposite sides.
So we can add -2x to both sides in order to move it to the left side
y=-2x+7
+2x +2x
______
2x + y = 7
This is the equation of the line in standard form.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/8829271
Jorden has 28 golf balls. Of the 28 golf balls 1/7 are yellow. How many balls are yellow?
Answer:
4
Step-by-step explanation:
Are yellow 1/7 in a percentage of 28=4
Answer:
4
Step-by-step explanation:
Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.
28/7=4
Therefore, 4 of the golf balls are yellow.
Have a nice day! :)
Formula for trapezium?
Answer: you again…
It’s half the height times a + b
(Top length and bottom length)
Step-by-step explanation: there you go
I need help!! If possible show work pls!! Thx!
Answer: The answer is D .
Step-by-step explanation:
Answer:
A. (0,0)
Step-by-step explanation:
Substitute (0, 0) into both of the equations
(0, 0) = (x, y)
x = 0
y = 0
{ 2(0)−(0)≥−2
{8(0)−(0)<5
Multiply 2 and 0 to get 0.
0−0≥−2 and 8×0−0<5
Subtract 0 from 0 to get 0.
0≥−2 and 8×0−0<5
Compare 0 and −2.
true and 8×0−0<5
Multiply 8 and 0 to get 0.
true and 0−0<5
Subtract 0 from 0 to get 0.
true and 0<5
Compare 0 and 5.
true and true
The conjunction of true and true is true.
Also look at the graphs
1) Given that the function graphed is f(x), what is f(9)?
es
A) 7
B) 9
C) 11
D) 13
Determine the quadrant and the coordinates of the given points.
Give the answers of Point A-J
Please help me I really need help ?
Answer:
15:) hope this helps
Step-by-step explanation:
hope this helps...
Help!! Its A Math Problem!! I am not sure how to solve it!!!
Answer:
-1±√3,(1±4√2)/2, (2±3√2)/2,1±√3
Step-by-step explanation:
Simplify the roots, and simplify the fraction.
For example, for x=(-4±√48)/4, you can simplify √48 to be √16 * √3, which is just 4·√3 or 4√3. Now, the original fraction is (-4±4√3)/4, which can be simplified to -1±√3. Solve the other problems using the same method.
2. (1±4√2)/2
3.(2±3√2)/2
4. 1±√3
Determine whether the given binomial is a factor of the polynomial p(x) . p(x)=x^ 3 +2x^ 2 -x-2;(x+2)
Answer:
[tex](x + 2)[/tex] isn't a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex].
Step-by-step explanation:
By the Factor Theorem, for any constant [tex]a[/tex], [tex](x - a)[/tex] would be a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]x = a[/tex] is a root (a zero) of that polynomial ([tex]p(a) = 0[/tex].)
In other words, [tex](x - a)[/tex] is a factor of polynomial [tex]p(x)[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]p(x)\![/tex] with the constant [tex]a[/tex] would yield [tex]0[/tex].
For example, in this question, [tex](x + 2)[/tex] could be rewritten as [tex](x - (-2))[/tex] (value of the constant is [tex]a = (-2)[/tex].)
By the Factor Theorem, [tex](x - (-2))[/tex] would be a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] evaluates to [tex]0[/tex].
Replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] gives:
[tex](-2)^{3} + 2\, (-2)^{2} - (-2) - 2[/tex].
Simplify:
[tex]\begin{aligned}& (-2)^{3} + 2\, (-2)^{2} - (-2) - 2 \\ =\; & (-8) + 8 + 2 - 2 \\ =\; & 0\end{aligned}[/tex].
Since [tex]p(-2) = 0[/tex], [tex](x - (-2))[/tex] (or equivalently, [tex](x + 2)[/tex]) is indeed a factor of the polynomial [tex]p(x)[/tex].
hello guys i need help pls
Answer:
CDABBACD and EFGHAEHDPlease mark as Brainliest
The two pairs of parallel planes are ABCD and EFGH, ADEH and BCFG and the only segment parallel to BCGF is ADEH
Parallel, perpendicular and skew linesFrom the given figure, we need to determine the line that is parallel to AB.
The parallel lines have no angles between them and are opposite to each other. The lines that are parallel to AB are CD, EF, and GH
Angles that are skewed to CD are those that are neither parallel nor perpendicular. The skewed lines to CD are FG and EH
The two pairs of parallel planes are ABCD and EFGH, ADEH and BCFG and the only segment parallel to BCGF is ADEH
Learn more on parallel, perpendicular and skewes lines here: https://brainly.com/question/18013592
Jennifer wants to buy a necklace for her mother's birthd
8.50. She currently has $14.55.
hat percentage of the total does Jennifer have?
14.55 out of 48.50 is 30%
Step-by-step explanation:
Use the distance formula to find the distance, to the nearest tenth, between F(10,5) and G(-1,2)
Step-by-step explanation:
the distance formula
d = sqrt((x2 - x1)² + (y2 - y1)²)
is simply based on the Pythagoras formula
c² = a² + b²
or
c = sqrt(a² + b²)
because the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference of the 2 points.
so, in our case here
d = sqrt((10 - -1)² + (5 - 2)²) = sqrt(11² + 3²) = sqrt(121 + 9) =
= sqrt(130) = 11.40175425... ≈ 11.4
what is the volume of a triangular prism that has a height of 6 in a triangle base that measures 6 in on both sides and a height of 5.20 in
Answer: 93.6 cubic inches
Step-by-step explanation:
Volume = lwh/2.
So V = (6 * 6 * 5.2)/2 = 93.6
A square is dilated by a scale factor of 3/5
to create a new square. The area of the new square is
Answer:
1 and 1/5
Step-by-step explanation:
if you add the numerator and leave the denominator you'll get that its basically just 6/5
2x^2+8x=24
Resuelve la siguiente ecuacion
Answer:
x = 2 x = - 6
Step-by-step explanation:
2x^2 + 8x = 24
subtract 24 from both sides
(restar 24 de ambos lados)
2x^2 + 8x -24 = 0
find the common: 2
(encontrar lo común: 2)
2(x^2 + 4x - 12) = 0
2(x-2) (x+6) = 0
x = 2
x = - 6
if 60% is 27 what is 100%
Help
How do you find the sum of the exterior angle measures of any convex polygon?
If the polygon is regular, how do you find the measure of each exterior angle in the polygon?
Answer:
See belowStep-by-step explanation:
The sum of exterior angles is 360° regardless the number of sides.
Each exterior angle of n-sided polygon is:
360°/nIf no of sides be s
Measure of each exterior angle
360/si need help on a and b pls
i) 14,17
ii) 8,14,17,16,9,15,
The next day the manager finds only 8 of the 200 randomly selected clocks are defective. About how many clocks out of the 10,000 produced that day are probably defective?
Answer:
around 400
Step-by-step explanation:
If the manager finds 8 defective clocks out of 200 that is a 4% chance of a clock being defective, so if there are 10,000 clocks produced 4% of that is 400
Please help with all of them!! Solution needed if possible!!
Answer:
A.16y^2+200y+625
B.36x^2−120x+100
C. 121s^2+44st+4t^2
D.64a^2b^2−144a^2b+81a^2
What is the probability of rolling a "3" on two consecutive rolls of a fair 6-sided die?
A. 1/3
B. 1/36
C. 1/2
D. 1/6
Answer:
B or D
Step-by-step explanation:
if it is two die being rolled it's B. but if it's one die being rolled it's D.
can someone please help me with this
Step-by-step explanation:
WYXV is quadrilateral.
the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)
ABCD is a rectangle.
AB and CD are parallel and equally long. and C is 90°.
that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.
PQSR is a parallelogram.
PQ and RS are parallel and equally long.
that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.
How many solutions does the following equation have? 5 x + 8 − 7 x = − 4 x + 1 5x+8−7x=−4x+15, x, plus, 8, minus, 7, x, equals, minus, 4, x, plus, 1 Choose 1 answer: Choose 1 answer: (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions
Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.
Step-by-step explanation:
Henry correctly factored 4x^(2)+5x-6 as (4x-3)(x+2). He then claimed that the zeros of that quadratic function are located at x=-(1)/(2) and x=2. Did Henry correctly find the zeros of the function?
Answer:
I believe Henrey is wrong
Step-by-step explanation:
because the roots of the quadratic function are
"(x= 3/4, -2)."
6a^3b-1 . 2a^4b^2 I need help with my math
Answer:
this might help
Step-by-step explanation:
Simplifying
2a + 4b + 6a + -3b = 0
Reorder the terms:
2a + 6a + 4b + -3b = 0
Combine like terms: 2a + 6a = 8a
8a + 4b + -3b = 0
Combine like terms: 4b + -3b = 1b
8a + 1b = 0
Solving
8a + 1b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-1b' to each side of the equation.
8a + 1b + -1b = 0 + -1b
Combine like terms: 1b + -1b = 0
8a + 0 = 0 + -1b
8a = 0 + -1b
Remove the zero:
8a = -1b
Divide each side by '8'.
a = -0.125b
Simplifying
a = -0.125b
hello help me with this question thanks in advance
[tex]\bold{\huge{\green{\underline{ Solutions }}}}[/tex]
Answer 11 :-We have,
[tex]\sf{HM = 5 cm }[/tex]
In square all sides of squares are equalThe perimeter of square
[tex]\sf{ = 4 × side }[/tex]
[tex]\sf{ = 4 × 5 }[/tex]
[tex]\sf{ = 20 cm }[/tex]
Thus, The perimeter of square is 20 cm
Hence, Option C is correct .
Answer 12 :-We have,
[tex]\sf{MX = 3.5 cm }[/tex]
In square, diagonals are equal and bisect each other at 90°Here,
[tex]\sf{MX = MT/2}[/tex]
[tex]\sf{MT = 2 * 3.5 }[/tex]
[tex]\sf{MT = 7 cm}[/tex]
Thus, The MT is 7cm long
Hence, Option C is correct .
Answer 13 :-We have to find the measure of Angle MAT
All angles of square are 90° eachFrom above
[tex]\sf{\angle{MAT = 90° }}[/tex]
Thus, Angle MAT is 90°
Hence, Option B is correct .
Answer 14 :-We know that,
All the angles of square are equal and 90° eachTherefore,
[tex]\sf{\angle{MHA = }}{\sf{\angle{ MHT/2}}}[/tex]
[tex]\sf{\angle{MHA = 90°/2}}[/tex]
[tex]\sf{\angle {MHA = 45°}}[/tex]
Thus, Angle MHA is 45°
Hence, Option A is correct
Answer 15 :-Refer the above attachment for solution
Hence, Option A is correct
Answer 16 :-Both a and b
The median of isosceles trapezoid is parallel to the baseThe diagonals are congruentHence, Option C is correct
Answer 17 :-In rhombus PALM,
All sides and opposite angles are equalLet O be the midpoint of Rhombus PALM
In ΔOLM, By using Angle sum property :-
[tex]\sf{35° + 90° + }{\sf{\angle{ OLM = 180°}}}[/tex]
[tex]\sf{\angle{OLM = 180° - 125°}}[/tex]
[tex]\sf{\angle{ OLM = 55° }}[/tex]
Now,
[tex]\sf{\angle{OLM = }}{\sf{\angle{OLA}}}[/tex]
OL is the bisector of diagonal AMTherefore,
[tex]\sf{\angle{ PLA = 55° }}[/tex]
Thus, Angle PLA is 55° .
Hence, Option C is correct
HELP ANOTHER QUESTION, I REALLY NEED HELP. !!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
George put apples into bags to sell at the farmers market. He put 5 apples into each bag. He had 45 apples altogether. How many bags did he fill.
Answer:
9 bags and is this from a second-grade textbook?
Step-by-step explanation:
Answer:
9 bags
Explanation
all you have to do is divide 45 by 5 and you get 9.
Find X please I really need help. Explain the best you can! Thanks!