Answer:
11.5 hours
Step-by-step explanation:
It would take Seith x hours to paint the room by himself, then Ted needs x + 1 hour.
During 1 hour, Seith can do 1/x of the work, Ted can do 1/(x+1) of the work, then we have
1/x + 1/(x + 1) = 1/6
(2x + 1)/[x(x+1)] = 1/6
x(x+1)=6(2x+1)
x^2 + x = 12x + 6
x^2 - 11x - 6 = 0
[tex]x=\frac{11+\sqrt{145}}{2}= 11.5 hours[/tex]
What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
1 m
Answer:
volume of this sphere is 4.19 cm³
Explanation:
volume of sphere: [tex]\frac{4}{3}[/tex]πr³
Here the radius of the sphere is 1 meter.
Using the formula:
[tex]\frac{4}{3}[/tex] * 3.14 * 1³
4.19 cm³
Answer:
[tex]{\purple{\boxed{4.19}}}[/tex] cubic meters.
Step-by-step explanation:
DIAGRAM :
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf{1\ m}}\end{picture}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Here's the required formula to find the volume of sphere :
[tex]\longrightarrow{\pmb{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}[/tex]
V = Volumeπ = 3.14r = radiusSubstituting all the given values in the formula to find the volume of sphere :
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}^{3}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1 \times 1)}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1)}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 1}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{12.56}{3}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} \approx 4.19}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{V_{(Sphere)} \approx 4.19 \: {m}^{3}}}}}}[/tex]
Hence, the volume of sphere is 4.19 m³.
[tex]\begin{gathered}\end{gathered}[/tex]
LEARN MORE :
[tex]\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}[/tex]
[tex]\rule{300}{2.5}[/tex]
A piece of equipment costs $85,000 new but depreciates 15% each succeeding year.
Find its value after 10 years.
Answer: $16,734.32
Step-by-step explanation:
Make an exponential equation where y represents the price of the equipment and x represents the number of years
y = 85,000(1 - 0.15)^x
y = 85,000(0.85)^10
y = 16,734.32
Therefore, the price of the equipment after 10 years will be $16,734.32
Arrange the following measurements in order from smallest to largest. 0.7 liters 4.1 liters 2,000mil
0.7 Liters, then 2,000mil, Lastly, 4.1 Liters
Which number is greater and by how much? 600 or 600 decreased by 20% and then uncreased by 20% of the result
Answer:
600 is greater by 24
Step-by-step explanation:
We will decrease 600 by 20%.
20% of 600 = 120
600 - 20% of 600 = 480
We will now increase 480 by 20%
20% of 480 = 96
480 + 20% of 480 = 576
Is 576 more than 600?
No.
And how much more is 600 than 576?
24, because 600 - 576 = 24.
Mackenzie is about to ride a straight water slide. The length of the water slide itself is 15
meters. The splash pool at the end of the slide is 12 meters away from the base of the tower
that leads up to the launching platform. How high is the launching platform?
meters
Answer:
9
Step-by-step explanation:
Use Pythagoras’ theorem;
the hypotenuse is 15:
one side that isn't hypotenuse is 12:
[tex]a^2 +12^2=15^2\\= a=225-144\\a=81\\\sqrt{81}=9[/tex]
Two numbers whose product is 40 and sum is -22
Answer:
-2, -20
Step-by-step explanation:
x * y = 40 (1)
x + y = -22 (2)
Multiply by x on (2):
x^2 + xy = -22x
x^2 + 40 = -22x
x^2 + 22x + 40 = 0
(x + 2)(x + 20) = 0
x = -2, -20 (answer)
need math help asap!
Answer:
B. 9Step-by-step explanation:
According to intersecting secants theorem we have:
3*(x + 3) = 4*(4 + 5)3(x + 3) = 36x + 3 = 12x = 9Correct choice is B
Answer:
the only thing that cause I understand that cause disinfect your day going so far today at saka embroidery hoop earrings for the day and shadingTwo cubes each of volume 27^3cm are joined end to end to form a solid. Find the surface area. of resulting solid.
Given :-
Two cubes each of volume 27cm³ are joined to make a cuboid .To Find :-
The surface area of the resulting solid .Solution :-
Given that the volume of cube is 27cm³ . We know that the volume of cube is given by (side)³ .
So , if we assume each side to be a , then ,
[tex]\longrightarrow[/tex] a³ = 27cm³
[tex]\longrightarrow[/tex] a = ³√{27cm³}
[tex]\longrightarrow[/tex] a = ³√3³cm³
[tex]\longrightarrow[/tex] a = 3 cm .
Hence , if we join two cubes we will get a cuboid of length 3cm + 3cm = 6cm . (l)The breadth would be 3cm .( b)The height would be 3cm .(h)See attachment for figure .
And as we know that TSA of cuboid is ,
[tex]\longrightarrow[/tex]TSA = 2( lb + bh + hl )
[tex]\longrightarrow[/tex] TSA = 2 ( 6*3 + 3*3 + 3*6) cm²
[tex]\longrightarrow[/tex]TSA = 2 ( 18 +9 +18 )cm²
[tex]\longrightarrow[/tex] TSA = 2 * 45cm²
[tex]\longrightarrow[/tex] TSA = 90 cm²
Hence the new surface area of the solid is 90cm² .
I hope this helps.
El perímetro de un terreno rectangular mide 232 m si se sabe que el largo es 8m mayor que el ancho cuáles son sus dominaciones
Answer:
Largo = 62m
Ancho = 54m
Step-by-step explanation:
[tex]P=232m\\ b=(x+8)\\ h=x[/tex]
[tex]P=2(h+b)\\ P=2(x+(x+8))\\ P=2(2x+8)\\ P=4x+16[/tex] → [tex]4x+16=232\\ 4x=232-16\\ 4x=216\\ x=\frac{216}{4}[/tex]
[tex]b=54m[/tex] [tex]x=54m[/tex]
[tex]b=x+8=(54)+8[/tex]
[tex]b=62m[/tex]
Rational number between 1/3 and 9/10
Answer:
so given range is 0.33333 to 0.9 an answer is 6/10 and there are more on this
2/10, 3/10, 4/10, 5/10, 6/10, 8/10
Step-by-step explanation:
any number you can express with an fraction form
Solve the equation:
12x^2 + 4x - 1
Math Help Please Lots of points
So
A F=AB/2=86/2=43Med ians of any tria ngle bise cts each other at 2:1 ra t io at cen troid.
So
A G=C G=100Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow EC^2=CG^2-EG^2=100^2-60^2=10000-3600=6400\implies EC=80[/tex]
Now
BE=EC=80Suzie is going to run for 32 minutes. She can run 1 mile in 5 minutes and she cools off for 7
minutes. How many miles can she run in her time limit?
Answer:
She can run 3 miles in her time limit.
Step-by-step explanation:
Suzie is going to run for 32 minutes. She run 1 mile in 5 minutes and she cools off for 7 minutes
5+7=12 minutes
she runs 1 mile needs 12 minutes total
32÷12=2⋯8
8-5=3 minutes
2+1=3 3×1=3 miles
She can run 3 miles in her time limit.
{Distance=Time × speed}
Use the properties of logarithms
to write the following expression as a single logarithm
ln y+5ln p-4 ln y
Answer:
ln(p^5/y^3)
Step-by-step explanation:
The given expression can have ln(y) terms combined, so it becomes ...
= 5·ln(p) -3·ln(y)
= ln(p^5/y^3)
__
The relevant log relation is ...
ln(a^b) = b·ln(a)
How much is 2 quarters, 3 dimes, 3 nickels, and 5 pennies
2 quarters, 3 dimes, 3 nickels, and 5 pennies equals
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object
1 dollar = 4 quarters
1 dollar = 10 dimes
1 dollar = 20 nickels
1 dollar = 100 pennies
We have to calculate the total dollar measurement of 2 quarters, 3 dimes, 3 nickels, and 5 pennies.
4 quarters = 1 dollar
2 quarters = 2/4 dollars
= 0.5 dollars
10 dimes = 1 dollar
3 dimes = 3/10 dollar
= 0.3 dollar
20 nickels = 1 dollar
3 nickels = 3/20 dollar
= 0.15 dollar
100 pennies = 1 dollar
5 pennies = 5/100 dollar
= 0.05 dollar
Total currency value = 0.5 dollars + 0.3 dollar + 0.15 dollar + 0.05 dollar
= 1 dollar
Hence the total worth of coins given is 1 dollar.
Learn more about Currency Units here :
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LLANCELANDEE LANCELANDEE
Answer:
LALLALALALLALA
Step-by-step explanation:
Answer:
LLANCELANDEE LANCELANDEE LLANCELANDEE LANCELANDEE LLANCELANDEE LANCELANDEE
What is the area of the figure? Enter your answer in the box. in²
Answer:
[tex]112in^{2}[/tex]
Step-by-step explanation:
to find the area of the square we multiply the base x height so 10x10 which equals 100in^2.
to find the area of the triangle we multiply the base x height divided by 2 so to find the base 10-6 will give us the dotted line which equals 4. to find the height of the triangle we take 16-10 which equals 6. to find the area of the triangle we multiply 6x4/2 to make 12 in^2. to find the total area we add the triangle plus the square 100+12=112in^2
Robert is purchasing shirts for his weekend soccer team. The shirts he wants to buy are normally $11 each but are on sale for $9 off. His team has a total of 9 players. How much will he spend to buy the shirts?
Answer:
He shall pay $18 to buy the shirts.
Step-by-step explanation:
each shirt cost after sale: $11 - $9 = $2
then 9 shirts for 9 players would cost: $2 * 9 = $18
For the shirts for his soccer squad, Robert will spend a total of $18 to buy the shirts for his soccer team.
Given that;
Robert is purchasing shirts for his weekend soccer team.
And, The shirts he wants to buy are normally $11 each but are on sale for $9 off.
The shirts are originally priced at $11 each, and they are on sale for $9 off.
Therefore, the discounted price per shirt is,
$11 - $9 = $2
Since Robert has a total of 9 players in his team, he needs to buy 9 shirts.
Hence, the total amount he will spend,
Total amount = Number of shirts × Discounted price per shirt
Total amount = 9 shirts × $2/shirt
Total amount = $18
Therefore, Robert will spend a total of $18 to buy the shirts for his soccer team.
Learn more about the multiplication visit:
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I need to determine the figure is a parallelogram using the slope formula
Answer:
KL // MN & KN // LM
Step-by-step explanation:
One property of parallelogram is every two opposite sides are parallel to each other and if a two lines (sides) are parallel so they must have the same slope.
In the parallelogram KLMN:
using the slope formula = y2-y1/x2-x1
plug the numbers: KL // MN & KN // LM so KLMN is a parallelogram
simplify (3x^2-y)^2. please
Write 53/800 as a terminating decimal.
Answer:
0.06625
Step-by-step explanation:
Answer:
0.06625
Step-by-step explanation:
Terminating Decimal: A decimal that has an end.
To convert 53/800 into a terminating decimal, we simply divide 53 by 800.
53 ÷ 8000.06625Have a lovely rest of your day/night, and good luck with your assignments. ♡
A chain weighs 12 pounds per foot. How many ounces will 4 inches weigh? Round your answer to the nearest tenth as needed.
Answer:
1 chain = 12 pounds
4 inches = x
4×12=49
= 50
Manny walks a total of 0.75 mile to and from school each day. If there are 25 days in a month, how many miles has he walked in all?
Answer:
18.75
Step-by-step explanation:
Did you hear about the newspaper editor?
Answer:
Yes, I've heard about the newspaper editor
Incorrect
Question 5
0/1 pt
Perimeter of PQRS = 228. Solve for x and PS.
S
4x + 1
R
>
2x - 3
р
T 4
Q
X= 58/3
PS = 107/3
Answer:
x = 56/3
PS = 103/3
Step-by-step explanation:
Perimeter: (4x + 1) + 2(2x - 3) + (4 + 4 + 4x + 1) = 228
Collect and combine like terms: 12x + 4 = 228
Subtract 4 from both sides: 12x = 224
Divide both sides by 12: x = 56/3
PS = (2 x 56/3) - 3 = 103/3
What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
18 in
Answer:
3052. 08
Step-by-step explanation:
volume = 4/3πr^3
= 4/3π*(9)^3= 3052.08 in^3
Find HCF 2x^5-4x^4-6x and x^5+x^4-3x^3-3x^2
Answer:
HCF = [tex](x + 1)[/tex]
Step-by-step explanation:
A common factor is a factor that is shared by two or more numbers (or, in this case, polynomials). The highest common factor (HCF) is found by finding all common factors of the two expressions and selecting the largest one.
Find HCF of [tex]2x^5-4x^4-6x \ \ \textsf{and} \ \ x^5+x^4-3x^3-3x^2[/tex]
Factor [tex]2x^5-4x^4-6x[/tex]
Factor out common term: [tex]2x(x^4-2x^3-3)[/tex]
Factor [tex]x^4-2x^3-3[/tex]: [tex]2x(x+1)(x^3-3x^2+3x-3)[/tex]
Factor [tex]x^5+x^4-3x^3-3x^2[/tex]
Factor out common term: [tex]x^2(x^3+x^2-3x-3)[/tex]
Factor [tex]x^3+x^2-3x-3[/tex]: [tex]x^2(x+1)(x+\sqrt{3} )(x-\sqrt{3} )[/tex]
Therefore, from inspection the HCF = [tex](x + 1)[/tex]
Question 3 (10 points)
(05.04 MO
Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B
is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
Step-by-step explanation:
Part ACircumference formula:
C = 2πr = πdFind π:
25.12 = 8π ⇒ π = 25.12/8 ⇒ π = 3.149.42 = 3π ⇒ π = 9.42/3 ⇒ π = 3.14Part BArea formula:
A = πr² = πd²/4Find π:
50.24 = π*8²/4 ⇒ 50.24 = 16π ⇒ π = 50.24/16 ⇒ π = 3.147.065 = π*3²/4 ⇒ 7.065 = 9π/4 ⇒ π = 4*7.065/9 ⇒ π = 3.14Part CThe value of π is same - 3.14 from each case we havewhat is the probability that he will get either something with chocolate or a waffle cone with blackberry?
Answer:
50/50
Step-by-step explanation:
2 options
Find the distance between these points. W(-6, -8), X(6, 8) 10 √8 20
Answer:
20 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]\displaystyle d_2 = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
Let W(-6, -8) be (x₂, y₂) and X(6, 8) be (x₁, y₁).
Substitute and evaluate:
[tex]\displaystyle \begin{aligned}d & = \sqrt{(-8-8)^2 + (-6-6)^2} \\ \\ & = \sqrt{(-16)^2 + (-12)^2} \\ \\ & = \sqrt{400} \\ \\ & = 20 \end{aligned}[/tex]
Therefore, the distance between the two points is 20 units.