Answer:
Total surface area of a hemisphere: A = 3 * π * r² , Surface to volume ratio of a hemisphere: A / V = 9 / (2 * r) .
There are nuts in three boxes. In the first box, there are 6 fewer pounds of nuts than in the other two boxes combined. In the second box, there are 10 fewer pounds of nuts than in the other two boxes combined. How many pounds of nuts are there in the third box?
Answer:
8 pounds
Step-by-step explanation:
Let a, b, c represent the number of pounds of nuts in the first, second, and third boxes, respectively. We can write the equations ...
a = b +c -6 . . . . . first box has 6# fewer than the total of the others
b = a +c -10 . . . . second box has 10# fewer than the total of the others
Substituting the second equation into the first, we find ...
a = (a +c -10) +c -6
0 = 2c -16 . . . . subtract a
0 = c -8 . . . . . . divide by 2
8 = c . . . . . . . . . add 8
There are 8 pounds of nuts in the third box.
-4x+7>x-13
Can someone please help
Answer:
-4x+7>x-13
Group like terms
We have
- 4x - x > - 13 - 7
-5x > - 20
Divide both sides by - 5
-5x / -5 > -20/-5
x < 4
Hope this helps you
Answer:
x < 4Step-by-step explanation:
[tex]-4x+7>x-13\\Subtract ; -x from-both-sides\\-4x+7-x>x-13-x\\-4x-x+7>-13\\Subtract; -7 -from-both-sides\\-5x+7 -7>-13-7\\-5x>-20\\Divide- both- sides -by -5\\\frac{-5x}{-5} >\frac{-20}{5} \\x < 4[/tex]
PLEASE HELP!!! Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.
Answer: I would paint either of the 3/4 of a circle or a circular ring.
Step-by-step explanation: We shall start by calling the three quarter circle on the left A, and the ring on the right we shall call B.
The area of both can be calculated and that figure which results in the lesser value (of area) shall cost you less to paint.
For A, the area of the circle is given as
Area = πr²
Where π shall be taken as 3.14 and the radius r is 6.
Area = 3.14 * 6²
Area = 3.14 * 36
Area = 113.04
The area of the quarter of the circle would be subtracted from the total area as shown in the calculation above.
Area of sector = ∅/360 * πr²
The sector is a quarter of the circle and that makes the angle at the sector to be equal to (360/4) 90 degrees. Therefore ∅ equals 90.
Area of sector = (90/360) * 113.04
Area of sector = 1/4 * 113.04
Area of sector = 28.26
Area of A therefore is derived as;
Area of A = 113.04 - 28.26
Area of A = 84.78 square metres
For B, the area of the ring is given as follows;
Area of B = Area of larger circle - Area of smaller circle
Area of B = πR² - πr²
Where R is the radius of the larger circle and r is the radius of the smaller inner circle. By factorizing the right hand side of the equation, we now have;
Area of B = π (R² - r²)
Area of B = 3.14 (6² - 3²)
Area of B = 3.14 (36 - 9)
Area of B = 3.14 * 27
Area of B = 84.78 square metres.
From the calculations shown along with the explanations, both the three-quarters and the ring have exactly the same area, which means you are going to spend exactly the same quantity of paint and spend the same amount of time painting either one of them.
So the answer is; I would paint EITHER ONE OF THEM.
How many days are there in 12 years?
Answer: 4380
Step-by-step explanation:
Answer:
4380 days
Step-by-step explanation:
365 (# of days in a year) x 12 (years) = 4380 days in 12 years
BRAINLIEST LCM PICTURE INCLUDED
Answer: D) 11/9
Step-by-step explanation:
LCM of 5, 9, 3, 8, 7 = 5 x 9 x 8 x 7 = 2520
Convert each fraction so the denominator = 2520
[tex]\dfrac{3}{5}\bigg(\dfrac{9\times 8 \times 7}{9\times 8 \times 7}\bigg)=\dfrac{1512}{2520}\\\\\\\dfrac{5}{9}\bigg(\dfrac{5\times 8 \times 7}{5\times 8 \times 7}\bigg)=\dfrac{1400}{2520}\\\\\\\dfrac{2}{3}\bigg(\dfrac{5\times 3\times 8 \times 7}{5\times 3\times 8 \times 7}\bigg)=\dfrac{1680}{2520}\\\\\\\dfrac{5}{8}\bigg(\dfrac{5\times 9 \times 7}{5\times 9 \times 7}\bigg)=\dfrac{1575}{2520}\\\\\\\dfrac{4}{7}\bigg(\dfrac{5\times 9 \times 8}{5\times 9 \times 8}\bigg)=\dfrac{1440}{2520}\\\\\\[/tex]
The smallest number is [tex]\dfrac{1400}{2520}=\dfrac{5}{9}[/tex] and the largest number is [tex]\dfrac{1680}{2520}=\dfrac{2}{3}[/tex]
[tex]\dfrac{5}{9}+\dfrac{2}{3}\\\\\\=\dfrac{5}{9}+\dfrac{2}{3}\bigg(\dfrac{3}{3}\bigg)\\\\\\=\dfrac{5+6}{9}\\\\\\=\large\boxed{\dfrac{11}{9}}[/tex]
Which of the equations below represents this situation
Answer:
Y= 8*x
Step-by-step explanation:
You can notice that the graph is a straight line that crosses the origin so it's a graph that has an equation written this way : y= a*x
a is the slope
You can easily find it by notice that the image of 1 is 8
So a = 8
Then y= 8*x
Answer:
[tex]y=8x[/tex]
Step-by-step explanation:
Well drawing the line further then we can tell the y intercept is 0.
So we have to find the SLOPE using the following formula
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So we need two points on the line, we can use the following
(1,8) and (2,16)
So 16 is y2 and 8 is y1 so 16-8 is 8.
2-1 is 1.
So the slope is 8x.
Do the equation is [tex]y=8x[/tex]
We don’t have to put the y intercept because it is 0.
The balance of errands average balance checking account at the beginning of last cycle was $400 and the only transaction for the cycle was a check that Aaron route for $200 which cleared exactly halfway through the cycle on what amount did Aaron's checking account pay interest last cycle
Answer:
$300
Step-by-step explanation:
Here we are given:
Balance at the beginning of last cycle(first half) = $400
Balance halfway through the cycle(second half cycle) = $200
To find the amount Aaron's checking account pay interest last cycle, let's find the average balance.
Use the formula for average:
[tex] \frac{Bal 1 + Bal 2}{2} [/tex]
[tex] \frac{400 + 200}{2} [/tex]
[tex] \frac{600}{2} = 300[/tex]
Average = $300
Therefore, the amount Aaron's checking account pay interest last cycle is $300
help me please! i’m very behind.
0 Translating Inequalities
Match the inequality with its symbolic form,
A number is at most 6
A number is below 5
A number is not less than 5
A number is larger than 6
Answer:
A number is larger than 5 --> x > 5
A number is not less than 5 --> x ≥ 5
A number is at most 5 --> x ≤ 5
A number is below 5 --> x < 5
Step-by-step explanation:
Explaining each choice:
"A number is larger than 5": x > 5 is correct because the statement is implying numbers greater than 5.
"A number is not less than 5" x ≥ 5 is correct because the statement is implying numbers greater than or EQUAL to 5.
"A number is at most 5" x ≤ 5 is correct because the inequality shows numbers less than or EQUAL to 5.
"A number is below 5" x < 5 is correct because the inequality depicts numbers LESS THAN 5.
Wegnerkolmp or someone please help me with this question about slope....
Answer:
The slope is -3/4
Step-by-step explanation:
We need two points to find the slope
We have one point at (0,5) and we have one point at (4,2)
We can use the slope formula
m = (y2-y2)/(x2-x1)
= (2-5)/( 4-0)
= -3/4
The slope is -3/4
Answer:
-3/4
Step-by-step explanation:
Get the coordinates of 2 points on the line:
(0, 5) and (4, 2)Use formula to find the slope:
m= (y2-y1)/(x2-x1)m=(2-5)/(4-0)= -3/4So the slope is -3/4
help me Please!!!!!!
Answer:
Step-by-step explanation:
Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is
84(2) = 168.
If the circumference of a circular tank is 44m. Find the diameter
Answer:
14 mSolution,
Circumference of circular tank = 44m
Radius = ?
Diameter= ?
Now,
Circumference of a circle = 44
[tex]or \: 2\pi \: r \: = 44[/tex]
[tex]or \: 2 \times 3.14 \times r = 44[/tex]
[tex]or \: 6.28r = 44[/tex]
[tex]or \: r = \frac{44}{6.28} [/tex]
[tex]r = 7.0 \: m[/tex]
Again,
Diameter = 2 radius
= 2 * 7.0
= 14 m
Hope this helps..
Good luck on your assignment..
Answer:
2×3.14×r=44
6.28r=44
r=44/6.28
r=7.0
d=r
2×7.0
14
Please answer this in two minutes
Answer:
131°.
Step-by-step explanation:
its equal to that other angle i forgot how but i learned this 1 week ago
Would someone be able to help me with this question please???
Step-by-step explanation:
A jacket is on sale for 10% off including the discount and 7% tax the sales price of the jacket is $115.56 what is the price of the jacket before the discount and tax
Answer:
120.00
Step-by-step explanation:
Let x be the original price
The price is 10% off, or we pay 90% of the original price
.9 x
Then we have to pay 7% sales tax
.9x * 7%
.9x * .07
.063x is the tax
Add this to the .9x we have to pay for the jacket
.9x + .063x = .963x
This is the cost of the jacket
.963x = 115.56
Divide each side by.963
.963x/.963 = 115.56/.963
x =120.00
The cost of the jacket before discount and tax is 120.00
A jar contains 20 coins.
There are only coins of value 1p, 2p, 5p and 10p in the jar.
A coin is taken at random from the jar.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
Work out how many of each type of coin there are in the jar.
Answer:
See Attached Image, Explanation in order to understand how to calculate is below.
Step-by-step explanation:
The Jar Contains 20 Coins.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
The Section in bold is vitally important in this question.
We know we have 4 combinations of 1p, 2p , 5p & 10p in order to make 59p, and only have 20 coins to make it.
--------------------------------------------------------------------------------------------------------------
Calculate 1p:
1/5 of 20 = 4
We know the answer is 4 as we have 20 coins, you find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
We know the answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Calculate 5p:
We know we currently have a total of 24p if we subtract that from 59 we are left with 35.
So we can work establish here that we are not going to need many 10p's. As we only have 6 coins left!.
5x5 = 25p.
Therefore you need 5, 5p's
Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
--------------------------------------------------------------------------------------------------------------
Hope this helps, mark as brainilest if found useful.
There are 1 10p coin of each type in the jar.
Given that ;
The Jar Contains 20 Coins.
Probability that it is a 1p coin is 1/5
Probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We know we have 4 combinations of 1p, 2p , 5p & 10p. so to make 59p, and only have 20 coins to make it.
Calculate 1p:
1/5 of 20 = 4
The answer is 4 as we have 20 coins, find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
The answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Now Calculate 5p:
We know that we have a total of 24p if we subtract that from 59 we are left with 35
5x5 = 25p.
Therefore we need 5, 5p's
Now Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
What is the length of DE ?? Thx :)
Answer:
A; 10
Step-by-step explanation:
What we can see here is that the triangles are similar.
Hence, the ratio of their sides are equivalent.
Thus, mathematically;
ED/BA = DF/AC = BC/EF
what we want to calculate is ED = x
Thus;
x/15 = 12/18
Cross multiply;
18 * x = 12 * 15
18x = 180
x = 180/18
x = 10
In the diagram, line c is a transversal of lines a and_______
Answer:
b
Step-by-step explanation:
C cuts a and b as well.Therefore it will be the transversal of a and b.
plzz mark this answer as brainliest answer
Answer:
b
Step-by-step explanation:
just did it on edge
A and b can do a piece of work in 30 days while b and c can do the same work in 24 days and c and a in 20 days. If they all work together, in how many days will the work finish?
Answer:
16 days.
Step-by-step explanation:
The work done by a and b in one day = 1/30
The work done by b and c in one day = 1/24
The work done by c and a in one day = 1/20
Find the sum of all these fractions , this will be the work done by 2a and 2b and 2c in one day. This gives 0.125, which is equivalent to 1/8.
The work done by 2 of each person = 8, so it takes double this value for just one of each person, this is 16 days.
Hope this helps
Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4
Answer:
B) [tex]-5n^4[/tex]
Step-by-step explanation:
We want to simplify [tex]\sqrt[3]{-125n^{12}}[/tex]
[tex]\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4[/tex]
The answer is [tex]-5n^4[/tex]
 can anyone please help me I really need help please help me thank you
Answer:
so length is a and width is b
2(a+b)=82
a+b=41
2b+3=41
b=19
a=22
helppppppppppppppppppppppppppppppp plz
The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)
expand this expression 3m(2m+n-5)
Answer:
6m^2 + 3mn - 15m.
Step-by-step explanation:
3m(2m + n - 5)
= (3m * 2m) + (3m * n) - (3m * 5)
= 6m^2 + 3mn - 15m.
Hope this helps!
Answer:
[tex]6m^2+3mn-15m[/tex]
Step-by-step explanation:
[tex]3m(2m+n-5)=\\3m*2m+3m*n+3m*(-5)=\\6m^2+3mn+(-15m)=\\6m^2+3mn-15m[/tex]
Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. The expression 1,500(1+0.35)h finds the number of amoebas after h hours. Which statement about this expression is true?
A) It is the initial population raised to the growth factor after h hours.
B) It is the sum of the initial population and the percent increase.
C) It is the sum of the initial population and the growth factor after h hours.
D)It is the product of the initial population and the growth factor after h hours.
(explanation please!!!)
Answer:
:are you the nice brianna??????????????
Step-by-step explanation
The value of -9 is than the value of -12 because -9 is to the of -12 on the number line.
Answer: greaterright
Step-by-step explanation:
Solve (2x + y) (2x - y)
Answer:
Hello There!
~~~~~~~~~~~
(2x + y) (2x - y) =
[tex]4x^{2} - y^{2}[/tex]
Step-by-step explanation: Simplify the expression.
Hope this helped you. Brainliest would be nice!
☆_____________❤︎______________☆
Answer:
Step-by-step explanation:
there is formula (a+b)(a-b)=a^2-b^2
(2x+y)(2x-y)=(2x)^2-y^2=4x^2-y^2
Solve for y, y-8= -( y-2) / 2
Answer:
y = 6
Step-by-step explanation:
Answer:
y = 6
Step-by-step explanation:
y - 8= - (y - 2) / 2
Expand.
y - 8 = (- y + 2) /2
Multiply both sides by 2.
2(y - 8) = - y + 2
2y - 16 = -y + 2
Add y and 16 on both sides.
2y + y = 2 + 16
3y = 18
Divide both sides with 3.
y = 18/3
y = 6
The graph represents a distribution of data. Which statement about the data is true
Answer:
the answer is D i believe
Step-by-step explanation:
the triangle ADE
BC is parallel to DE
AB = 9cm, AC = 6cm, BD = 3cm, BC = 9cm
Answer:
a) DE is 12 cm
b) CE is 2 cm
Step-by-step explanation:
In the two triangles [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].
[tex]\angle A[/tex] is common.
BC || DE
[tex]\Rightarrow \angle B = \angle D\ and \\ \Rightarrow \angle C = \angle E[/tex]
[tex]\because[/tex] two parallel lines BC and DE are cut by BD and CE respectively and the angles are corresponding angles.
All three angles are equal hence, the triangles:
[tex]\triangle ABC[/tex] [tex]\sim[/tex] [tex]\triangle ADE[/tex].
Ratio of corresponding sides of two similar triangles are always equal.
[tex]\dfrac{AB}{AD} = \dfrac{BC}{DE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{9}{DE}\\\Rightarrow \dfrac{9}{12} = \dfrac{9}{DE}\\\Rightarrow DE = 12\ cm[/tex]
[tex]\dfrac{AB}{AD} = \dfrac{AC}{AE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{6}{AC+CE}\\\Rightarrow \dfrac{9}{12} = \dfrac{6}{6+CE}\\\Rightarrow 6+CE = \dfrac{4\times 6}{3}\\\Rightarrow 6+CE = 8\\\Rightarrow CE = 2\ cm[/tex]
So, the answers are:
a) DE is 12 cm
b) CE is 2 cm
A football team carried out a report to see the impact of stretching on preventing injury. Of the 32 footballers in the squad 25 stretch regularly. Of those who stretch, 3 got injured last year. There was a total of 8 injured players last year. The results can be presented in a frequency tree. What fraction of players are not stretching regularly?
Answer:
1/16
Step-by-step explanation:
Total = 32 footballers
25 stretch regularly.
3 injure last year
now, 22 stretch regularly.
out of 32, 8 are injured. Therefore, 32-8=24 should stretch regularly but only
22 stretch regularly. Therefore, 24-22 =2 are not stretching regularly.
fraction of players are not stretching regularly = 2/32 =1/16
Part F
What happens as the cross section moves away from the side to which it is parallel?
Answer:
The cross section becomes smaller but stays a trapezoid.
Step-by-step explanation:
Answer:
The cross-section becomes smaller but stays a trapezoid.
Step-by-step explanation:
https://cdn.app.edmentum.com/EdAssets/12466ac9138b4ad9afb909fa748bc20d?ts=635384740978070000