[tex]4 \frac{2}{3} - 4 \frac{1}{3} = \\ [/tex]
[tex] \frac{1}{3} \\ [/tex]
Thus the true answer is option A .
Nadia needs one cup of ice cream for every student in her class for their year-end party. The ice cream is only sold in pints. If there are 24 students in her class, how many pints of ice cream will she need? Describe how to solve this problem.
The pints of ice cream for the students is an illustration of metric units
Nadia needs 12 pints of ice cream for the 24 students
How to determine the pints of ice cream?The given parameter is:
Students = 24
She needs one cup for each student in the class.
So, the number of cups needed is:
Cups = 24
1 cup makes 1/2 pint.
So, we have:
Pint = 1/2 * 24
Pint = 12
Hence, Nadia needs 12 pints of ice cream for the 24 students
Read more about metric units at:
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answer please it would help
Answer: x=99.54
Step-by-step explanation:
Answer:
94.2
Step-by-step explanation:
We are given a reference angle of 34, we are also given opposite and hypotenuse side of the triangle, following SOHCAHTOA, We know that to solve this question, we have to use sine.
sin(34) = x/178
Get x alone
178sin34 = x
178sin34 is equal to 94.17, since we are looking for one decimal, we can round to the tenths place. The number next to the tenths is seven so we round up.
Our answer is 94.2
What is the capacity of a cylinder if it’s 2.60m high and has a diameter of 160.0cm
Answer:
Step-by-step explanation:
pi = 3.14
h = 2.60 m
d = 160.0 cm
Radius
r = d/2
r = 160.0 / 2
r = 80.0 cm
height
There are 100 cm in 1 meter. The units have to agree.
2.6 m * 100 cm / m
2.6 * 100 = 260 cm
Formula
V = pi * r^2 * h
V = 3.14 * 80^2 * 260
V = 5224960 cm^3
If you want a more manageable number, you could convert this into m^3
That's done by
V = 5224960 / 1000000 = 5.22 m^3
A 4-column table with 3 rows. the first column has no label with entries students, teachers, total. the second column is labeled wear glasses with entries 32, 4, 36. the third column is labeled do not wear glasses with entries 97, 2, 99. the fourth column is labeled total with entries 129, 6, 135. which statements are correct about the two-way frequency table? check all that apply. the table displays qualitative data. the row categories are "wears glasses" and "do not wear glasses." two teachers do not wear glasses. thirty-six students wear glasses. a total of 6 teachers were polled.
The correct statements about the two-way frequency table are:
Option A, Option C, and Option E.
What is a two-way frequency table?In Mathematics and statistics, A two-way frequency table is a tabular method for displaying relative data for two categories of variables. (See the attached).
The question (attached) shows that:
The frequency of teachers that don't wear glasses is two.The table indicates that the data is qualitative data because it is collected via surveys,The table also shows that a total of 6 teachers were surveyed.Learn more about a two-way frequency table at:
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Answer:
The answer is a,c, e
Step-by-step explanation:
3x2-9=0 GCF. It’s Precalculus btw
Answer:
x = ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
3x² - 9 = 0 ( add 9 to both sides )
3x² = 9 ( divide both sides by 3 )
x² = 3 ( take square root of both sides )
x = ± [tex]\sqrt{3}[/tex]
or
3x² - 9 = 0 ← factor out 3 from each term
3(x² - 3) = 0
equate x² - 3 to zero and solve for x
x² - 3 = 0 ( add 3 to both sides )
x² = 3 ( take square root of both sides )
x = ± [tex]\sqrt{3}[/tex]
Need help ASAP khan Academy geometry practice
Answer:
426.16
Step-by-step explanation:
v=r^2h π
π =3.14
v=6^2*4*3.14
v=426.16
Find the equation of a line that passes through the point (-3,-4) and has a gradient of 5.
Leave your answer in the form
y=mx+c
i will mark brainly
Answer:
Y=5X+11Step-by-step explanation:
x1= -3
y1= -4
m=5
y-y1=m(x-x1)
y-(-4)=5(x-(-3))
y+4=5(x+3)
y+4=5x+15
y=5x+15-4
y=5x+11
Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. Complete each statement.
Answer: 58.33%
Step-by-step explanation:
So, Liz flipped the coin a total of 60 times
Let this be the denominator.
Probability of coin landing up: 35/60
Probability of coin landing down: 24/60
We need the probability of the coin landing up.
So, convert 35/60 into a percentage
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1003560 × 100100= (35 × 10060) × 1100 = 58.33/100
So, the probability is 58.33%
What is the surface area of this shape?
I tried getting the answer twice and both times I got 228, which the teacher said was wrong.
(each cube is one inch squared)
Step-by-step explanation:
the answer shoukd be 324
because in cube there are 6 sides
and one side contain 54 box
so... 54 × 6 = 324
6 - v = 260
Solve for V.
Answer:
............
Step-by-step explanation:
A rectangular driveway is 7 feet wide, and it has an area of a square feet. How long is the driveway?
Please give how to solve every step
☆ Thank you ☆
Answer:
x = a/7
Step-by-step explanation:
Area is length x width, so let's call our unknown, the length, x
So the total area is 7 (the width) times x
If the total area is a, then we can write the equation a = 7(x)
Next, we have to isolate the variable for the length, x
To do this, we divide both sides by 7, leaving a/7 = x, or x = a/7
Delta Math: Angle Terminology with Equations
Answer:
x = 13
Step-by-step explanation:
The relevant fact about vertical angles is that they are congruent, their measures are equal. This lets you write an equation relating the expressions for the measures of angles A and B.
__
∠A = ∠B
(8x -12)° = (6x +14)° . . . . . substitute given expressions
2x = 26 . . . . . . . . . . . divide by °, add 12-6x
x = 13 . . . . . . . . . . divide by 2
Simplify the following (x+3y)(x-3y)
Answer:x^2-9y^2
Step-by-step explanation:
x timesx +x(-3y)+3yx+3y(-3y)
Then simplify
X^2-9y^2
help
Use the diagram to complete the statement.
m∠ECF=
Answer:
37°
Step-by-step explanation:
Angle ECF is vertical to angle ACG, so has the same measure. Angle ACG is the second acute angle in right triangle ACG, so is complemetary to angle CAG. It has measure ...
∠ECF = ∠ACG = 90° -∠CAG = 90° -53°
∠ECF = 37°
Last year, rusty’s tools experienced $67,550 in net sales, creating a gross profit of $50,338. if rusty had a total operating expense of $35,200 last year, what was his net profit margin? a. 22.4% b. 52.1% c. 74.5% d. 79.0%
The Net profit margin is 22.41%
Rusty's Tool experienced $67550 in net sales, creating a gross profit of $50338.
If Rusty had a total operating expense of $35200 then we have to find the net profit margin.
Since profit $50338 includes the operating expense of $35300 then net profit will be
= $50338 - $33500
= $15138
Now the selling price is given as $67550.
What is the formula for profit margin?
Profit margin = (Net profit/selling price) 100
Profit margin =151.38/675.50=22.41 %
Therefore, the answer is profit margin = 22.41%.
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∠ROP forms a right triangle.
Find the measure of ∠ROQ.
31°
hope it helps......!!!!!
Mathematics question (Optional math)
Answer:
Hi mate!
To prove:-[tex] \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} } = \sec( \theta) - \tan( \theta) [/tex]
Step-by-step explanation:
By taking LHS,
[tex] \maltese \: \: \large \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} } [/tex]
By rationalisation method,[tex] : \longrightarrow \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} \times \frac{1 + \sin( \theta)}{1 + \sin( \theta)} } \\ \\ : \longrightarrow \frac{ {( \sqrt{1 + \sin\theta }) }^{2} }{( \sqrt{1 - \sin( \theta)})(\sqrt{1 + \sin( \theta)}) } \\ \\ : \longrightarrow \frac{ {( \sqrt{1 + \sin\theta }) }^{2} }{ \sqrt{ {1}^{2} - { \sin}^{2} \theta } } \: \\ \\ : \longrightarrow \: \frac{1 + \sin \theta}{ \cos \theta } \\ \\ \longrightarrow \: \frac{1}{ \cos \theta } + \frac{ \sin \theta}{ \cos \theta} [/tex]
[tex] \: \: \: \: \: \bigg\lgroup \because \: \frac{1}{ \cos \theta }\: = \sec \theta \: \\ \: \: \: \: \: \: \: \: \: \: \: \frac{ \sin \theta}{ \cos \theta} = \tan \theta \bigg \rgroup[/tex]
[tex] \implies \boxed{\pink{ \sec \theta + \tan \theta }}[/tex]
Now taking RHS
[tex] \sf \sec \theta + \tan \theta [/tex]
[tex]\implies \: \: \frac{1}{ \cos \theta } + \frac{ \sin \theta}{ \cos \theta} \\ \\ \implies \frac{1 + \sin \theta }{ \cos \theta } [/tex]
Hence, proved
Answer:
[tex]\large{\pink{\underline\textsf{To Prove :-}}}[/tex]
[tex] \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } = \sec \theta + \tan \theta[/tex]
[tex] \huge{\orange{\underline{\textsf{Solution :-}}}}[/tex]
[tex] \sf \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } [/tex]
First we have to rationalize it to remove the square rootNow we will multiply √1+sinθ both sides[tex] \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } \times \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } \\ \sqrt{ \frac{ {(1 + \sin \theta) }^{2} }{(1 + \sin \theta)(1 - \sin \theta) } } \\ \sqrt{ \frac{ {(1 + \sin \theta) }^{2} }{1 - { { \sin}^{2} \theta } } }[/tex]
We know that sin²θ + cos²θ = 1so cos²θ = 1 - sin²θ[tex] \sqrt{ \frac{( {1 + \sin \theta })^{2} }{ { \cos}^{2} \theta} } \\ \frac{1 + \sin \theta }{ \cos \theta } \\ \frac{1}{ \cos \theta} + \frac{ \sin \theta }{ \cos \theta } [/tex]
[tex]\sf{\red { \sec \theta + \tan \theta}}[/tex]
[tex] \sf \huge \purple {HENCE \: \: PROVED! }[/tex]
What is the next term of the following sequence? 20, 10, 5, 2, ...
Answer:
40/2 = 20
20/2 = 10
10/2 = 5
5/2 = 2.5
2.5/2 = 1.25
What is the purpose of tax deffered retirement accounts
The two common retirement accounts that allow people to minimize their tax bills are tax-deferred and tax-exempt accounts. Just to be clear, both types of retirement account minimize the amount of lifetime tax expenses someone will incur, which provides incentives to start saving for retirement at an early age.
Hope this helps :)
The circle above has center O, the length of arc ADC is 57, and x = 100. What is the length of arc ABC ?
The length of arc ABC with center O and radius of 9 units is 13π.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the radius of the circle. Hence:
arc ADC = (100 / 360) * 2πr
5π = (100 / 360) * 2πr
r = 9 units
arc ABC = (260 / 360) * 2π(9) = 13π
The length of arc ABC with center O and radius of 9 units is 13π.
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graph the line y=3x-7
Melissa is driving a sports utility vehicle along the interstate at a constant speed of 55 mph. A sports car one-half mile behind her that is moving at a constant speed passes her in 60 seconds. How many miles per hour is the speed of the sports car
Using proportions, it is found that the speed of the sports car is of 85 miles per hour.
What is a proportion?A proportion is a fraction of a total amount.
The cars are moving in the same direction, hence their relative speed is the difference of them.
The sports car is 0.5 miles faster over one minute, hence over one hour the difference is:
60 x 0.5 = 30 miles per hour.
Considering that the utility vehicle has a speed of 55 mph, the speed of the sports car is given by:
55 + 30 = 85 miles per hour.
More can be learned about proportions at https://brainly.com/question/24372153
Donald bought 2 game controllers at Gamestop for $36. Each one cost the same amount. What is the unit rate for a single controller? & Jake was offered the following amounts of an entire pizza: 0.6, 4/5, or 0.75. Jake really likes pizza and wants the largest amount of pizza he can get. Which of the amounts should he select?
Don’t add all together
There’s two answers
Answer:
Answer to question 1 is 18
Answer to question 2 is 4/5
Step-by-step explanation:
Question one simply asks how much one controller is
Being that both controllers = 36$
And to find one controller price you would just divide the price by the number of units
36/2= 18
The second question asks how much pizza would be more .6, 4/5 or .8, or .75
Since .8 has the most value or in this case pizza 4/5ths is the answer
what is the length of the line segment that has the endpoints A (-3,2) and B (1,0)
Distance measure how far an object have gone. The length of the line segment that has the endpoints A (-3,2) and B (1,0) is 2√5.
How to calculate the distance between two pointsThe formula for calculating the distance between two coordinates is expressed as:
D = √(x2-x1)²+(y2-y1)²
Given the coordinate points A (-3,2) and B (1,0), the length of the line segment that has the endpoint is given as:
D = √(0-2)²+(1+3)²
D = √(2)²+(4)²
D = √16+4
D=√20
D = 2√5
Hence the length of the line segment that has the endpoints A (-3,2) and B (1,0) is 2√5
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Find Mitch's mistake.
Answer:
C
Step-by-step explanation:
Step 1
7.7 - 2 = w - 2 + 2Step 2
LHS ⇒ 7.7 - 2 = 5.7RHS ⇒ w - 2 + 2 = w [-2 and 2 cancel out = 0]⇒ 5.7 = 2Mitch did not make a mistakepls helpT-T
(3rd periodical test in mathematics)
where are u from and why u need thes answer
Factor 35x + 7
F. 7(1 + 5x)
G. 7(1 + 35x)
J. 7(x + 5x)
Answer:
Did this at school today… the answer is F. 7(1+5x)
Step-by-step explanation:
rewrite 35 as 7x5
Rewrite 7 as 7x1
That will be 7(5x+7x1) factor out the 7 and the answer will be 7(5x+1)
85, 58, 72, 85, 46, 93 Mean:? Median:? Mode:? Range:?
Answer:
Mean is 73.2. Median is 85. Mode is 85. Range is 47.
Step-by-step explanation:
First order the numbers. 46, 58, 72, 85, 85, 93. The mode is all of these numbers added up to get 439. divided by the amount of numbers there are. there are 6. so 439 divided by 6 is 73.166 or 73.2. Median is the middle of the data set which is 85. the mode is the number that appears the most in a data set which is also 85. the range is the highest number minus the lowest number so we get 93 - 46 to get 47.
Answer:
Step-by-step explanation:mode 85
mean 73.2
median 85
range 47
Please help and explain.
Answer: Plant A
Step-by-step explanation: In the graph for plant A, the X axis is the months and the Y Axis is the inches. You can compare the data for Plant B in the graph for Plant A and see that Plant A has a larger number of inches for each number of months. For example, if you look at 6 months. The chart for Plant B says Plant B is 3 inches, while if you look at 6 months on the graph for Plant A, Plant A is at 10 inches.
what is the value of x?
Answer:
k=10
Step-by-step explanation:
The reason is that we should solve the following equation:
4k+5 + 6k+10 + (180-115) = 180
by doing some basic algebra we get:
10k = 100
thus: k=10