Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons
and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
3 1/2 + 2/3 = 3 1/6
Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons
3 + 2/3 = 3 1/6
So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.
Step-by-step explanation:
Ryan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6300 feet.
Ryan initially measures an angle of elevation of 15 to the plane at point A. At some
later time, he measures an angle of elevation of 31 to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
If Ryan spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The distance the plane traveled from point A to point B is: 13,027ft .
How to find the distance?Constant altitude =6300 feet
Angle of elevation =15 to the plane at point A
An angle of elevation =31 to the plane at point B.
So,
Tan 15° = 6300/ON
ON =23,511.92
Tan 31° =6300/OB
OB = 10,484.96
So,
AB =23,511.92 - 10,484.06
AB = 13,026.96
AB = 13,027ft (Approximately)
Therefore the distance is 13,027ft.
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determine if each liners function is a direct variation. If it is state the constant of variation.
The liners function are not direct variation
What is a direct variation?The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation.
For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation
If b is directly proportional to a, then k is the constant of variation and the value of k = b/a for all value of b and a
In the problem, the variables are compared as follows
feet = k * sec
k = feet / sec
For the first values, k = 33 / 3 = 11
For the second values, k = 36 / 6 = 6
since 11 ≠ 6 the function is not a direct variation
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I REALLY NEED HELP WITH PLINK A PLUNK
Therefore ,We can see that in equation 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable.
Describe equation.A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 5x - 5 = 25 is an equation. We can find that the variable x has a value of 6 by resolving this equation.
Here,
we need to convert everything to the same unit in order to establish a legitimate comparison when comparing units like inches, feet, and yards. Therefore, we would have to convert everything, for example, to inches. For these five coins, the same concept holds true. Either lorgs, sinds, plunks, harps, or dalts must be used for everything (pick one of those five).
It's equivalent to attempting to change a dollar amount into cents (for example, $1.37 becomes 137 cents). The alternative is to think about it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.
The procedures in the various parts below are designed to convert all coinage to lorgs, which will serve as our base unit. Trial and error led me to the conclusion that the lorg coin had the lowest worth, thus I'm striving to obtain everything in lorgs.
The four equations provided are
4 lorgs to a sind
5 dalts x 2 plunks
2 harps from 5 sinds.
3 harps equal 1 plunk.
In that order, I'll refer to them as equations (1) through (4).
One sind equals four logs (1)
5 sinds = 20 lorgs; add 5 to both sides.
2 harps = 20 lorgs; in the equation, swap out "5 sinds" with "2 harps" (3)
1 harp = 10 lorgs; multiply both sides by 2, then write this as an equation (5)
Equation: 1 plunk = 30 lorgs (6)
Each of those equations enables us to determine the lorg value of the coins sind, dalt, harp, and plunk.
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The complete question is : " A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.1 sind = 4 lorgs ,2 plunks = 5 dalts ,5 sinds = 2 harps , 1 plunk = 3 harps Which coin is the most valuable? a) sindb) daltc) harpd) plunk"
standard equation for hyperbola with vertices (-2, 1), (2, 1) and foci (-3, 1) (3,1)
Will give brainliest
Answer:y=(x+3)2−17
Step-by-step explanation: 3,11 5,15
The triangle flap of an envelope has two sides that are 6 centimeters long and meet at a right angle. How long is the envelope? Round to the 10ths if needed.
Answer:
Step-by-step explanation:
This is a right triangle that has two equal sides - so it is also isosceles.
It can be solved using Pythagoren Theorem.
a² + b² = c²
In this case a = b
so:
6² + 6² = c²
36 + 36 = c²
72 = c²
[tex]\sqrt{72[/tex] = [tex]\sqrt{c^{2} }[/tex]
8.49 = c
round to 8.5
This is the length of the flap.
You can perform 6 push-ups in 16 seconds. Write and
graph an equation that represents the relationship between
time and the number of push-ups. At this rate, how many
pushups can you perform in 2 minutes?
Answer:
320 pushups
Step-by-step explanation:
16/6= 8/3
8/3*120=32
If
f
(
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x
−
1
x−1?
Answer:
If
f
(
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
Make 4 equal warehouses out of a fence 300 m long. What is the width and length of the sv part if we want them to be the largest possible areas
The width and the length that gives the largest possible areas are 75 meters by 37.5 meters
How to determine the width and the length that gives the largest possible areasFrom the question, we have the following parameters that can be used in our computation:
Number of warehouses = 4
Perimeter of fence = 300 meters
Represent the width with x and the length with y
So, we have the following equations
Area = 4xy
Perimeter = 2(4x + y)
Substitute the known values in the above equation, so, we have the following representation
2(4x + y) = 300
Divide both sides by 2
2x + y = 150
Make y the subject
y = 150 - 2x
Substitute y = 150 - 2x in Area = 4xy
A = 4x(150 - 2x)
This gives
A = 600x - 8x²
Differentiate and set to 0
600 - 16x = 0
So, we have
16x = 600
Divide by 16
x = 37.5
Recall that
y = 150 - 2x
So, we have
y = 150 - 2 x 37.5
Evaluate
y = 75
Hence, the dimensions are 75 meters by 37.5 meters
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area of a parallelogram help wanted ty
The area of the parallelogram is 72 square units. Option B
How to determine the area of the parallelogramThe formula for calculating the area of a parallelogram is expressed as;
A = bh
Given that;
A is the area of the parallelogramb is the base of the parallelogramh is the height of the parallelogramFrom the information given, we have that;
The base of the parallelogram = x + yThe height of the parallelogram = hNow, substitute the values
x + y = 8 + 4
add the values
x + y = base = 12 units
h = 6 units
Now, substitute the values into the formula, we get;
Area, A = 12(6)
multiply the values
Area, A = 72 square units
Hence, the value is 72 square units
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The four approved methods of document destruction are
Answer:
1area
2 water
3 food
4 house
Answer:
shredding, incineration, pulping, and pulverization.
Step-by-step explanation:
Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.
Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.
Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.
Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.
You are given 2 parallel lines on the coordinate plane. You are told to translate x + 3,y-2, rotate 180° clockwise about the origin, then reflect over the y-axis. After the transformations you will have what type of lines?
A Intersecting lines
B. The Same Line
C. Parallel Lines
Since matching angles are formed and the equal corners are congruent when a line joins two parallel lines, one of the choices isc=d.
Parallel lines are what?Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.
Here,
Given : vertical angles, A = d also represents a solution.
B+d=180 as a result of b+c=180 therefore
B+d=180 as a result of b+c=180 therefore Since a=d, c=d, and b+d=180, the answer is B,C,E.
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What is the domain of this function?
F(x)=3 square root x-2
x-2>0= x>2
The domain of the function F(x) = 3 [tex]\sqrt{x-2}[/tex] is {x : x ≥ 2 and x is a real number}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
F(x) = 3 [tex]\sqrt{x-2}[/tex]
Domain of this function is all the values of x for which the function is defined.
The expression [tex]\sqrt{x-2}[/tex] is defined only when the value of x - 2 is positive.
x - 2 > 0 ⇒ x > 2
So the function will be defined for all x > 2.
Hence the domain of the function is the set of all x such that x > 2.
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Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
find an equation for the line that passes through the points (-6,-3) and (4,5).
The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.
How to determine the equation of the line from two points
In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - y-InterceptThe slope of the line can be determined by secant line formula:
m = Δy / Δx
Where:
Δx - Change in independent variable.Δy - Change in dependent variable.First, determine the slope of the line:
m = [5 - (- 3)] / [4 - (- 6)]
m = 8 / 10
m = 4 / 5
Second, determine the intercept of the line:
b = y - m · x
b = 5 - (4 / 5) · 4
b = 5 - 5
b = 0
Third, write the equation of the line:
y = (4 / 5) · x
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is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false
Answer:
True, 50 tens times hundreds equal 40 tens times 5 hundreds
Step-by-step explanation:
50 tens times 4 hundreds equals to 40 ten times 5
hundreds because if you multiply 50 by 4 hundreds
you'll get 20,000 and if you multiply 40 tens by
hundred it will still give you 20,000
Therefore:
50 × 400 = 40 × 500
20,000 = 20,000
A cylindrical tank has a diameter of 30m and height 20m.
a) Find its volume in m³, correct to two decimal places.
b) What is the capacity of the tank in litres?
Step-by-step explanation:
d = 30m, so r = 15m
h = 20m
We know,
V = πr^2h= (22×15×15×20)/7 [Taking π = 22/7]
= 14142.86m^3
= 14142875.14 litres
If the probability of s1 = .6 and the probability of F = .40 what is the value at node 4.
Group of answer choices
320
280
310
260
200
If the probability of s1 = .6 the value above node degree 4 will be 320, as determined by the solution.
What does a node's degree mean?The area of mathematics known as probability deals with numerical descriptions about how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:S1 probability = 0.6
F's likelihood is 0.40.
If the probability of S1 is given a value of 0.6, then
Probability of S2 then equals 0.4.
Using the table equation's payoff values as an exception.
EV=Σ
Each decision's expected value is calculated.
EV(Node 8) = 0.6 * 100 + 0.4 * 300
= 180
EV(Node 9) = 0.6 * 400 + 0.4 * 200= 320
We chose the best value for node 4 from nodes 8 and 9.
The ideal option for node 9 is the line complicated branch with EV(node 8) = 180.
The ideal anticipated value is determined to be 320.
Node 4's EV is 320.
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A rectangle has a length of
2,000 cm and a width of 23 cm.
What is the area?
What is the perimeter?
Answer:
Area= 46,000
Permiter= 4,600
Step-by-step explanation:
The formula to find the area of a rectangle is Length(L) times Width(W).
So 2,000(L) times 23 (W)= 46,000.
The formula for perimeter is 2(l+w).
So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.
Hope that helped, have a great day!!
Does the table below represent a proportional relationship?
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)
What is a proportional relationship?Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.
The equation that is used to represent a proportional relationship is:
y = kx
Where:
k = constant of proportionality
Value of k when x is 1:
3 = k
Value of k when x is 2:
6 = 2k
k = 6 / 2
k = 3
Value of k when x is 3:
9 = 3k
k = 9 / 3
k = 3
Value of k when x is 4:
12 = 4k
k = 12 / 4
k = 3
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a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts
Answer: 5 Hours
Step-by-step explanation:
Divide 6600 by the amount per 1.5 hours.
6600 / 1980 = 3.333
Multiply the answer by the 1.5 hours.
1.5 x 3.333 = 5
The measure of angle X is three times as large as the complement of the angle. Which equation can be used to find the measure of angle X?
A
(x+3)+x=90(x+3)+x=90
B
3x+x=1803x+x=180
C
(x+3)+x=180(x+3)+x=180
D
3x+x=903x+x=
Answer:
Step-by-step explanation: 55
3. At practice the team wants to know how fast Ryan can skate. He skates 10 laps around the
rink in 3 minutes and, later on in practice he skates 5 laps in 1 minute. What was his
average speed in laps per minute?
The average speed in laps per minute of Ryan is 2.5 laps per minute
How to determine the average speed in laps per minute?From the question, we have the following parameters that can be used in our computation:
He skates 10 laps around the rink in 3 minutes In practice he skates 5 laps in 1 minuteThe above can be expressed as
(x, y) = (1, 5) and (3, 10)
The average speed in laps per minute can be calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Rewrite as
Average speed = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 5) and (3, 10)
Substitute the known values in the above equation
So, we have the following equation
Average speed = (10 - 5)/(3 - 1)
Evaluate
Average speed = 2.5
Hence, the average speed is 2.5
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16. Find the length of x.
Answer: 4.8
Step-by-step explanation: By using the intersecting chords theorem, we know that 10 * x = 6 * 8
This simplifies to 10x = 48
After dividing both sides by 10 we get x = 4.8
Through (-2,-1) and perpendicular to the graph of F(x) - 1/5x + 1 ( function notation)
The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.
What is the equation of line that passes through the given point and is perpendicular to f(x) = (-1/5)x + 1?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the graph
f(x) = (-1/5)x + 1
Using the slope intercept, slope m is -1/5
The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.
Slope of perpendicular line = -1 / (-1/5)
Slope of perpendicular line = 5
Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - (-1) ) = 5( x - (-2) )
( y + 1 ) = 5( x + 2 )
y + 1 = 5x + 10
y = 5x + 10 - 1
y = 5x + 9
f(x) = 5x + 9
Therefore, the equation of the perpendicular line is f(x) = 5x + 9.
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If you shift the cubic parent function, F(x)=x^3, down 9 units, what is the equation of the new function
Therefore the table values of which represents a linear function are table 2 and table 3
What is linear equation?A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.
Here,
The values shown in table 2 have same constant rate of change of 3 units.
where as,
The values shown in table 3 have same constant rate of change of 5 units.
Therefore the table values of which represents a linear function are table 2 and table 3
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A house 20 meters long and 15 meters wide is surrounded by a verandah of uniform width of 3 meters. Find the cost of the flooring the verandah at RS 200 per square meter
Answer:
49200 rs. so the cost of flooring =246*200=49200 rs
Step-by-step explanation:
we measure the area of veranda by taking width in addition of length and breadth- house area
it means
area of veranda =outer rectangle-inner rectangle
⇒area= (20+3+3)*(15+3+3)-20*15
⇒area=26*21-300
⇒area= 546-300
⇒area=246 m²
Hence , the cost of flooring =246*200=49200 rs.
Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.
Answer:
yes
Step-by-step explanation:
51 to nearest ten is 50
37 to nearest ten is 40
50 * 40 = 2000
and it's an estimate so yes
98 +23=
Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.
here, on solving company reduced the size of their percentage container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.
what is percentage ?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
The initial size was x.
Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.
90% of the original size is equal to 4.5 ounces,
hence the calculation we use to determine the original size x is:
0.9 x = 4.5 x
= 4.5 / 0. 9 x = 5
The bottle's initial capacity was 5 ounces.
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Are The Numbers 16,64,18 and 72 In Proportion
Answer: Yes.
Step-by-step explanation: They are in 1:4::1:4
Hope this helps
Answer:
Yes
Step-by-step explanation:
Are The Numbers 16,64,18 and 72 In Proportion?
A proportion is an equation in which two ratios are set equal to each other16 : 64 = 18 : 72
0.25 = 0.25
or
1/4 = 1/4
so your answer is yes
wht is the answer ???
The equation to represent the height of a glass slab is y=11x+2.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
From the given table, we have (2, 24) and (4, 46).
Substitute (x₁, y₁)=(2, 24) and (x₂, y₂)=(4, 46) in m=(y₂-y₁)/(x₂-x₁)
= (46-24)/(4-2)
= 22/2
= 11
Substitute m=11 and (x, y)=(2, 24) in y=mx+c, we get
24=11(2)+c
c=2
Substitute m=11 and c=2 in y=mx+c, we get
y=11x+2
Therefore, the equation to represent the height of a glass slab is y=11x+2.
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