An amphitheatre has 18 seats in the first row, 20 in the second, 22 in the third, and so on, for 22 rows. How many seats are in the amphitheatre?
The amphitheatre has seats,
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
How do I solve this?
Answer:
below the ans
Step-by-step explanation:
cos k = 5/23
= .21
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
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
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
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
if 60% is 27 what is 100%
Mr.cheeks collects 95 strawberries to feed his family. He provides the same number of strawberries to each of his 6 hamster children. After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself
Answer:
Each Children gets = 15 strawberry
leftover for Mr.Cheek = 5 strawberry
Step-by-step explanation:
Given;
Mr.cheeks collects 95 strawberries to feed his family.
He provides the same number of strawberries to each of his 6 hamster children.
To Find;
After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself
Solve;
Since, Mr.cheeks total strawberries is 95 and he has 6 hamster children
we have to divide to see how much each children gets
95/6 = 15 with 5 remainder.
Hence, we can conclude that each children gets 15 and Mr.Cheeks have 5 leftover for himself
[RevyBreeze]
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
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
Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0.55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?
Answer:
$0.55 per cupcake bc if you plug 1 in for x then c would be equivalent to $0.55
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
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].
i need help on a and b pls
i) 14,17
ii) 8,14,17,16,9,15,
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.
1) Given that the function graphed is f(x), what is f(9)?
es
A) 7
B) 9
C) 11
D) 13
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.
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
Eddie had 6 boxes of crayons. Each box contained an equal number of crayons After giving her friend 10 crayons, she was left with a total of 26 crayons. How many crayons were in each box before Eddie gave the crayons to her friend?
Answer:
6
Step-by-step explanation:
6x-10=26
+10 +10
6x=36
divide by 6
x=6
533.93 divided by 2 PLEASE help
Answer:
The answer is 266.965
Please help me I really need help ?
Answer:
15:) hope this helps
Step-by-step explanation:
hope this helps...
how do u solve 1.5 divided by 0.06
Answer:
0.06÷15
Step-by-step explanation:
15)0.06(0.0
- 0 |
00
00
HELP ANOTHER QUESTION, I REALLY NEED HELP. !!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Determine the quadrant and the coordinates of the given points.
Give the answers of Point A-J
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
Help meeee!! I’ll give brainliest!!!
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
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
Sally went to buy candy for her valentine. The box of candy was $5.65 before tax. If tax is 5.25%, what will Sally’s total be with tax?
Answer:
5.946625
Step-by-step explanation:
i think this is right