Work Shown:
3 blue
3+4+5 = 12 total
3/12 = 1/4 = 0.25
Answer: As a fraction it would be 333/ 1,332 and as a decimal it would be 0.25.
Step-by-step explanation:
1. you add all of the marbles and then you would get 1,332
2. there are 333 blue marbles, so it would be 333/1,332
3. if you want it in decimal form it will be 0.25 if you round that to the nearst tenth it would be 0.3.
4. if you want it in fraction form it will be 333/1,332
I hope this is right. Good luck !.2
Find the length of the missing side. Choose the correct answer in simplest radical form.
7
Sin
8 in
7mn
Not drawn to scale
А
V17 m
B
113 m
113 m
m
с
D
71 m
Answer:
C
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the hypotenuse , then
x² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
x = [tex]\sqrt{113}[/tex]
There are 7 seniors, 5 juniors and 4 sophomores on the pep squad. Ms. Williams needs to choose 12 students out of the group to sell spirit buttons during lunch. How many ways can the 12 students be chosen?
The question is an illustration of combination, and there are 1820 ways to select the 12 students
How to determine the number of selection?The distribution of the students is given as:
Senior = 7
Junior = 5
Sophomore = 4
The total number of students is:
Total = 7 + 5 + 4
Evaluate
Total = 16
To select 12 students from the 16 students, we make use of the following combination formula
Ways = 16C12
Evaluate the expression using a calculator
Ways = 1820
Hence, there are 1820 ways to select the 12 students
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A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell 7 fewer wind chimes per month. Find the price per wind chime that will maximize revenue.
Answer: $95
Step-by-step explanation:
Te new price will be 90 + 5x, if the price increases "x" times
The number of wind chimes sold per month will become 140 - 7x
[tex]\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}[/tex]
Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum
Jamal borrowed $15 600 for 6 years from a bank. The annual simple interest rate for the first 3 years is 1.6%. From then onward, the annual simple interest rate is increased to 2%. How much interest will he owe at the end of 6 years?
Answer:
the interest owed is 1684.8
Step-by-step explanation:
Formula for simple interest =
I = Prt, where P is amount borrowed, r for interest rate and t for time.
Since the first three years is 1.6% interest we can write:
I = 15600 x 0.016 x 3
= 748.8
Then for the following 3 years the interest rate is 2%:
I = 15600 x 0.02 x 3
= 936
Adding the values gives us 1684.8
Nina needs to create a pond space that has a volume of 134 cubic feet and a depth of 4 feet. She proposes three possible pool designs:
a prism with a square top
an inverted cone with a circular opening
a hemisphere with a circular opening
Calculate the area of exposed water for each of Nina's proposed pool designs.
The area of exposed water for the prism pool is
square feet.
The area of exposed water for the inverted cone pool is
square feet.
The area of exposed water for the hemisphere pool is approximately
square feet
a. Area of the exposed water of the prism pool: 33.5 ft²
b. The area of exposed water for the cone pool = 102.1 ft²
c. Hemisphere pool = πr² = π(4²) = 50.3 ft²
What is the Volume of an Hemisphere?Volume = (2/3)πr
What is the Volume of a Cone?Volume = 1/3πr²h
What is the Volume of a Prism?Volume = Base area × height
a. Area of the exposed water = area of the square top = base area of the prism
Find base area using, Volume = Base area × height. Thus:
134 = Base area × 4
Base area = 134/4 = 33.5 ft²
Area of the exposed water for the prism pool = 33.5 ft²
b. Find the radius of the cone using, volume = 1/3πr²h.
134 = 1/3πr²(4)
(3)(134) = πr²(4)
402/4π = r²
32 = r²
r = 5.7 ft
The area of exposed water for the inverted cone pool = πr² = π(5.7)² = 102.1 ft²
c. The radius is the depth of the hemisphere pool
The area of the exposed water for the hemisphere pool = πr² = π(4²) = 50.3 ft²
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Geometry !! please help I will Mark Brainlist ( image attached)
Answer:
x=14
Step-by-step explanation:
3x+1 and 43 are both vertical angles so they are equivant.
3x+1=43
3x=42
x=14
The height in feet of the curved roof of an aircraft hangar can be modeled by y=-0.02x^2+1.6x, where x is the horizontal distance in feet from one wall at ground level. What is the greatest height of the hangar?
The maximum height is the highest level of height an object can reach. . The greatest height of the hangar is 32feet
How to calculate the maximum height of a function?The maximum height is the highest level of height an object can reach. Given the height in feet of the curved roof of an aircraft hangar can be modeled by y=-0.02x^2+1.6x
The velocity of the aircraft is zero at the maximum height. Therefore:
dy/dx = -0.04x + 1.6 = 0
Determine the value of x
0.04x = 1.6
x = 1.6/0.04
x = 40
Substitute x = 40 into the function to get the greatest height
y=-0.02x^2+1.6x
y=-0.02(40)^2+1.6(40)
y = -32 + 64
y = 32ft
Hence the greatest height of the hangar is 32feet
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Use the properties of logarithms to write the logarithm in terms of
log3(2) and log3(5).
log3(18/25)
[tex]\begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\\\ \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\log_3\left( \cfrac{18}{25} \right)\implies \log_3(18)~~ - ~~\log_3(25)\implies \log_3(2\cdot 3\cdot 3)~~ - ~~\log_3(5^2) \\\\\\\ [\log_3(2)+\log_3(3)+\log_3(3)]~~ - ~~2\log_3(5) \\\\\\\ [\log_3(2)+1+1]~~ - ~~2\log_3(5)\implies 2+\log_3(2)-2\log_3(5)[/tex]
What is the measure of ZXYZ in the diagram below?
S
38°
X
OA. 114°
OB. 38°
OC. 78°
D. 39°
1
N
116⁰
Find the measures of angles CFE and DEF.
The measure of the angle ∠DEF is 85 degrees and the measure of the angle ∠CFE is 57 degrees.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees.
In a cyclic quadrilateral, the sum of opposite angles is 180°.
∠DCE + ∠DEF = 180°
∠DEF = 180° - ∠DCF
∠DEF = 180° - 95°
∠DEF = 85°
Similarly for the other two angles, we have
∠CDE + ∠CFE = 180°
∠CFE = 180° - ∠CDE
∠CFE = 180° - 123°
∠CFE = 57°
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The giant circle challenge is finally here let’s all work together for this one
The measure of the angles are: ∠1 = 30°, ∠2 = 30°, ∠3 = 21°, ∠4 = 39°, ∠5 = 39°, ∠6 = 24°, ∠7 = 24°, ∠8 = 66°, ∠9 = 66°, ∠10 = 21°, ∠11 = 60°, ∠12 = 120°, ∠13 = 60°, ∠14 = 120°, ∠15 = 48°, ∠16 = 105°, ∠17 = 27°, ∠18 = 129°, ∠19 = 51°, ∠20 = 129° and ∠21 = 51°
How to determine the measure of the angles?The given parameters are:
AB = 78°
FE = 105°
ED = 27°
CD = 42°
Considering the semicircle ABCD, the measure of arc BC is:
BC = 180 - AB - CD
This gives
BC = 180 - 78 - 42
Evaluate
BC = 60°
Considering the semicircle A FED, the measure of arc A F is:
A F = 180 - FE - ED
This gives
A F = 180 - 105 - 27
Evaluate
A F = 48°
The angle 16 subtends arc FE.
So, we have:
∠16 = FE
This gives
∠16 = 105°
Similarly, the angles 15 and 17 subtend arcs A F and ED respectively.
So, we have:
∠15 = 48°
∠17 = 27°
Angles at the circumference are half the angles at the arc.
This means that:
∠1 = Arc BC/2
∠3 = Arc CD/2
∠4 = Arc AB/2
∠5 = Arc AB/2
∠6 = Arc A F/2
∠10 = Arc CD/2
So, we have:
∠1 = 60/2 = 30°
∠3 = 42/2 = 21°
∠4 = 78/2 = 39°
∠5 = 78/2 = 39°
∠6 = 48/2 = 24°
∠10 = 42/2 = 21°
The angle in a semicircle is 90 degrees.
This means that:
∠2 = 90°
The sum of angles in a triangle is 180 degrees.
This means that:
∠11 = 180 - ∠1 - ∠2
∠12 = 180 - ∠3 - ∠4
So, we have:
∠11 = 180 - 30 - 90 = 60°
∠12 = 180 - 21 - 39 = 120°
Vertical angles are equal.
So, we have:
∠13 = ∠11
∠14 = ∠12
This gives
∠13 = 60°
∠14 = 120°
The sum of angles in a triangle is 180 degrees.
This means that:
∠18 = 180 - ∠17 - ∠6
So, we have:
∠18 = 180 - 27 - 24 = 129°
Vertical angles are equal.
So, we have:
∠20 = ∠18
This gives
∠20 = 129°
Angle on a straight line equals 180°.
So, we have:
∠21 = 180 - ∠18
This gives
∠21 = 180 - 129° = 51°
Vertical angles are equal.
So, we have:
∠19 = ∠21
This gives
∠19 = 51°
The sum of angles in a triangle is 180 degrees.
This means that:
∠7 = 180 - ∠21 - ∠16
So, we have:
∠7 = 180 - 51 - 105
∠7 = 24°
The angle in a semicircle is 90 degrees.
This means that:
∠7 + ∠8 = 90°
So, we have:
24 + ∠8 = 90°
Subtract 24 from both sides
∠8 = 66°
The sum of angles in a triangle is 180 degrees.
This means that:
∠8 = 180 - ∠15 - ∠9
So, we have:
∠8 = 180 - 48 - 66
So, we have:
∠8 = 66°
Hence, the measure of the angles are:
∠1 = 30°, ∠2 = 30°, ∠3 = 21°, ∠4 = 39°, ∠5 = 39°, ∠6 = 24°, ∠7 = 24°, ∠8 = 66°, ∠9 = 66°, ∠10 = 21°, ∠11 = 60°, ∠12 = 120°, ∠13 = 60°, ∠14 = 120°, ∠15 = 48°, ∠16 = 105°, ∠17 = 27°, ∠18 = 129°, ∠19 = 51°, ∠20 = 129° and ∠21 = 51°
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Calculate the value of x
[tex]2x + 2x + 1 = 13 + x[/tex]
4
2x +2x +1 =13 + x
4x - x = 13 - 1
3x = 12
x=12/3
x=4
Checking, 2*4+2*4+1 =17
13+4=17
Answer:
Step-by-step explanation:
2x + 2x + 1 = 13 + x
To find the value of x, isolate 'x'
Step1: Subtract x from both sides
2x + 2x - x + 1 = 13
Step 2: Subtract 1 from both sides
2x + 2x - x = 13 - 1
Step3: Combine like terms
3x = 12
Step 3: Divide both sides by 3
x = 12/3
x = 4
Please answer this with the answer please no clifferhangers! Possible brainliest
Answer:
28 tiles in 85 minutes
1 tile in 3 minutes
Step-by-step explanation:
Figure out how long it takes Meg to lay one tile - 50 / 15 - 3.33 minutes per tile
This suggests that Jessica should take less than 3.33 mins to lay one tile for the statement to be correct.
If she lays 20 tiles in 85 minutes, it will take her 85 / 20 = 4.25 minutes per tile, so it can't be this one.
If she lays 24 tiles in 85 minutes, it will take her 85 / 24 = 3.5416 minutes per tile, so it can't be this one.
If she lays 28 tiles in 85 minutes, it will take her 85 / 28 = 3.0357 minutes per tile, so it can be this one.
If she lays 1 tile in 3 minutes, it will take her 3 / 1 = 3 minutes per tile, so it can be this one.
If she lays 1 tile in 4 minutes, it will take her 4 / 1 = 4 minutes per tile, so it can't be this one.
:)
sin C = AB/??
BA
AC
BC
AB
Answer:
AC
Step-by-step explanation:
sin C = opp/hyp
For angle C, the opposite leg is AB. The hypotenuse is AC.
sin C = AB/AC
Answer:
ACStep-by-step explanation:
Sin of an angle refers to the ratio between the opposing side and the hypotenuse.
sin C = AB/ACCan someone help me with this please and thank you!
Answer:
A
Step-by-step explanation:
I had this same question on a quiz the other day
4. An object is at rest if all forces
acting on the object have a net
force of zero. If an object has a
force of -5.5 Newtons applied to
it, what force needs to be applied
in order for the object to be at
rest?
Answer:
+5.5
Step-by-step explanation:
Lets say you have an apple and you apply -5.5 newtons of force to it, for it to be balanceds you have to push the opposite, which is +5.5 newtons.
Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation of 2 years. Find the replacement time that separates the top 18% from the bottom 82%.
Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 9.4, \sigma = 2[/tex].
The desired value is the 82nd percentile, which is X when Z = 0.915, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.915 = \frac{X - 9.4}{2}[/tex]
X - 9.4 = 0.915(2)
X = 11.23
The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
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A school car wash charged $5 for a car and $6 for a van. A total of 86 cars and vans were washed on
the weekend and they earned $475. How many vans and cars were washed?
Answer:
car and van 602
Step-by-step explanation:
brain liest me please need
There are 427 vans and 435 cars were washed.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that school car wash charged $5 for a car and $6 for a van.
The total of 86 cars and vans were washed on the weekend and they earned $475.
The equation are;
x + y = 86
5x + 6y = 475
Now we have;
5x + 6y = 475
5(86- y) + 6y = 475
y = 435
Therefore,
435 + x= 8
x = - 427
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There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different options for winners are there?
Answer:
400 entries (i think that's the answer)
Vince worked 705 hours in 15 weeks. At what rate did he work in hours per week? A. 48 hours per week B. 49 hours per week C. 46 hours per week D. 47 hours per week
Answer:
c
Step-by-step explanation:
Answer: 47
Step-by-step explanation:
Rate in hours /week = 705/ 15
NEED HELP ASAP thank you :).
Answer:
1. angle addition postulate
2. angle addition postulate
3. given
4. substitution
5. given
6. substitution
7. subtraction property of equality
find the circumference of a circle if the area is 81pi m^2 use 3..14 for pi and round your answer to the nearest tenth
Answer: C=2πr
Step-by-step explanation:
Answer:
9 cm.
Step-by-step explanation:
We are given that the area of a circle is 81π cm2. 81 π c m 2 . Hence the radius of the given circle is 9 cm.
Find the height of the cylinder. V=271.4 in^3
Answer:
c. 14.4
Step-by-step explanation:
when your divide 271.4^3 by 1000 you get 7.2 and then you multiply that by 2 and get 14.4 as your answer.
Julie buys 2 kg of apples and 7 kg of pears for £12.70.
The pears cost £1.30 per kilogram.
What is the price per kilogram of the apples?
You must show your working.
Answer:£1.8Step-by-step explanation:2kg apples and 7kg pears = £12.701 kg pear costs £1.307 kg pear costs £(1.30×7)=£9.12 kg apples costs £(12.70-9.1)=£3.61kg apples cost £(3.6÷2)=£1.8
Solve for X, please.
Answer:
x = - 11
Step-by-step explanation:
[tex]\frac{-x+10}{3}[/tex] = 7 ( multiply both sides by 3 to clear the fraction )
- x + 10 = 21 ( subtract 10 from both sides )
- x = 11 ( multiply both sides by - 1 )
x = - 11
An art gallery sales 1400 paintings catalog states that 70% of the paintings by local painters how many of these paintings are by local painters
Answer:
the answer is 980 hope this helps
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B or 5 and 1/2
Step-by-step explanation:
Convert into improper fractionsThis gives 69/8 and 25/869/8 - 25/8 gives 44/8Convert to a mixed numberThis gives 5 and 4/8Simplify 4/8 to 1/2So the answer is BAnswer:
The answer is B. 5 1/2
Step-by-step explanation:
8 5/8 - 3 1/8 = ?
The first thing to check for, is that the fractions have the same denominator!
They do: 8
8 5/8 - 3 1/8 = 5 4/8 reduce
5 1/2.
5 1/2 is your answer!
If r = 8 units and x = 7 units, then what is the volume of the cylinder shown above?
A 448 π cubic units
B. 56 cubic units
C. 240 cubic units
D. 1.792 cubic units
RIGHT ANSWER GETS BRAINLIEST
Answer:
Answer A is correct
Step-by-step explanation:
Formula to find the volume of a cylinder is :
Volume = π r² h
Given that,
radius ⇒ 8 units
height ⇒ 7 units
Let us find it now.
Volume = π r² h
Volume = π × 8 × 8 × 7
Volume = π × 64 × 7
Volume = π × 448
Volume = 448 π units³
Which of the following is equivalent to Root of 54?
Answer:
[tex]\boxed{\sf{3\sqrt{6}}}[/tex]Step-by-step explanation:
You need to find the equivalent of 54 by solving and finding the root of it.
GIVEN:
2*3³
3³=27
2*27=54
Change to square root.
[tex]\sf{\sqrt{2*3^3}}[/tex]
Use the exponent rule.
EXPONENT RULE:
[tex]\Longrightarrow: \sf{\:A^{B+C}=A^B\cdot \:A^C}}[/tex]
[tex]\Longrightarrow: \sf{\sqrt{2\cdot \:3^2\cdot \:3}}[/tex]
[tex]\sf{\sqrt{2\cdot \:3^2\cdot \:3}=\sqrt{3^2}\sqrt{2\cdot \:3}}[/tex]
[tex]\Longrightarrow: \sf{\sqrt{3^2}=3}[/tex]
[tex]\sf{3\sqrt{2*\:3}}[/tex]
Then, you multiply the numbers from left to right.
2*3=6
SOLUTIONS:
[tex]\Longrightarrow: \boxed{\sf{3\sqrt{6}}}[/tex]
Therefore, the equivalent to square root of 54 is "3√6", which is the correct answer.I hope this helps. Let me know if you have any questions.
Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfraction startfraction x over x 3 endfraction step 1: startfraction x over (x minus 2)(x minus 3) endfraction startfraction 3 over x 3 endfraction step 2: startfraction x over (x minus 2) (x 3) endfraction 3 (x minus 2) over (x minus 2) (x 3) endfraction step 3: startfraction x 3 x minus 6 over (x minus 2) (x 3) endfraction step 4: startfraction 4 x minus 6 over (x minus 2) (x 3) endfraction she added the two fractions incorrectly. she used the wrong common denominator. she did not distribute the negative correctly. she did not multiply the first fraction by a factor.
The mathematical mistake that Riley made is that:
"She used the wrong common denominator." (Option A)
A common denominator is a factor that is similar to all the fractions in the sequence of equations.
Hence the correct answer is:
(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))
See the correct sequence of steps below:
Step One - the Expression is given as:
(x/(x-3)(x-2)) + (3/(x+3))
Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.
Hence we have: (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)
Step 3 Apply the Law of Multiplicative Distribution:
Hence we have (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)
Step 4 - Collect Like Items
This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)
Step 5 Sort for like coefficients
This gives us: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)
Step 6 - check for the sum or difference
This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)
We simplify and factor the expression to get
(2(2x²-6x+6)/(x-3)(x-2)(x+3).
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Answer:
She used the wrong common denominator.
Step-by-step explanation: