Time taken to walk across 100 yard field is 60 minutes.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Speed of Slauson = 5 ft./min
That is, in 1 minute, Slauson can walk 5 feet.
We have to find the time taken to walk 100 yard.
1 yard = 3 feet
100 yard = 300 feet
Speed = Distance / Time
Time = Distance / Speed
Time = 300 / 5 = 60 minutes
Hence it will take 60 minutes to walk across a 100 yard field.
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Find an equation for the nth term where the first term in the sequence is a1
The equation of the nth term is a(n) = 2-8n
What is Arithmetic sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.
The common difference = -14-(-6) = -14 +6 = -8
The first term is a1
The nth term of an arithmetic sequence =
a(n )= a1+(n-1)d
a(n) = a1+(n-1)-8
a(n )= a1-8n+8
if a1 = -6
a(n) = -6-8n +8
a(n) = 2-8n
therefore the nth term of the sequence is 2-8n
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(Scale Factor LC)
Figure 1 and figure 2 are right triangles.
two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 5 units long
What scale factor was used to produce Figure 2 from Figure 1?
3 over 5
5 over 3
3
5
The scale factor that was used to produce Figure 2 from Figure 1 include the following: B. 5 over 3.
What is scale factor?In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)
Substituting the given parameters into the scale factor formula, we have the following;
Scale factor = 5/3
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Five children played a card game. At some point, each of them had to give a card to each of the other ones. Then, everybody had to discard the cards just received, and continue the game without them. How many cards in total were in the game before this exchange if after it only one half of the cards were played with?
Assuming that each of the five children had the same amount of cards before the exchange, the total number of cards in the game was twenty.
What is amount?Amount is the term used to describe a quantity or size of something it will stop to use to refer your numbers of object items are people with as well as measure of money time and distance.
The exchange between the children meant that each of them gave away four cards, for a total of twenty cards being given away. Thus, before the exchange there were forty cards in the game. After the exchange, each of the five children had ten cards, and only half of those cards were played with, meaning that the total number of cards in the game was twenty.
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9x-3y=15 3x+3y=-3 What is the solution? ! Solve A (6,-7) B (2,1) C (1,-2) by elimination.
Answer:
(1, - 2 )
Step-by-step explanation:
9x - 3y = 15 → (1)
3x + 3y = - 3 → (2)
add (1) and (2) term by term to eliminate y
(9x + 3x) + (- 3y + 3y) = 15 - 3
12x + 0 = 12
12x = 12 ( divide both sides by 12 )
x = 1
substitute x = 1 into either of the 2 equations and solve for y
substituting into (2)
3(1) + 3y = - 3
3 + 3y = - 3 ( subtract 3 from both sides )
3y = - 6 ( divide both sides by 3 )
y = - 2
solution is (1, - 2 )
cuanto es 2 + 2 +2 +3 +2+ +++2++ +2
The equivalent sum of the given expression is 15.
What is addition?Addition of a number to an existing number is a method of increasing the magnitude of the existing number.
We can explain addition as -
{a} + {b} = {c}
For example -
2 + 3 = 5
Given is to find the sum -
2 + 2 + 2 + 3 + 2+ 2 + 2
We can write the sum as -
2 + 2 + 2 + 3 + 2+ 2 + 2
4 + 5 + 4 + 2
9 + 4 + 2
15
Therefore, the equivalent sum of the given expression is 15.
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{Question in English -
What is 2 + 2 +2 +3 +2+ +++2++ +2?}
compare 2.2 and 14/4
we can conclude that 2.2 is less than 14/4.
what is fraction ?
A fraction is a mathematical representation of a part of a whole or a ratio between two quantities. It is typically represented as a top number (numerator) divided by a bottom number (denominator), separated by a horizontal line.
For example, the fraction 3/4 represents three parts out of four equal parts of a whole. The numerator (3) represents the number of parts, while the denominator (4) represents the total number of parts that make up the whole.
According to the question:
To compare 2.2 and 14/4, we can convert 14/4 to a decimal:
14/4 = 3.5
Now we can see that 2.2 is less than 3.5. Therefore, we can say that:
2.2 < 14/4
Another way to compare them is to convert both numbers to a common denominator. In this case, the common denominator of 2.2 and 14/4 is 10:
2.2 = 22/10
14/4 = 35/10
Now we can see that:
22/10 < 35/10
Therefore, we can conclude that 2.2 is less than 14/4.
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What is 14 oz to ml?
We know that :1 oz. to ml = 29.57353 ml, 2 oz. to ml = 59.14706 ml and so on. Therefore, based on the above information:
14 oz. to ml. = 414.0294156 milliliter.
Milliliter:
A milliliter (ml) equals 1/1000 of a liter or 0.001 liter. The liter (Commonwealth English spelling liter, US English spelling liter) is a unit of volume. There are two official symbols. The Latin letter el is l and L in both cases. The liter is not an SI unit but can be used with SI. The SI unit of volume is the cubic meter (m³).
Fluid Ounce:
A fluid ounce is actually a fairly simple unit of measurement. In the Imperial system, one ounce of liquid is 28.41306 ml, whereas in the US it is 29.57353 ml.
These measures are important to know if you want to convert fluid ounces to ml. This is a very old dimension and many have decided it is worth using. I need to find the difference between British fluid ounces and US fluid ounces. A British fluid ounce is 1/160 of an imperial gallon and a US fluid ounce is based on a gallon of wine which is 231 cu. inch.
We know that:
1 milliliter = 0.0351951 oz.
Therefore,
milliliter (mL) = Ounce Value × 29.5735296
⇒ mL = 14 × 29.5735296
⇒ mL = 414.029
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How has the heart transformed with just one transformation? dilation rotation translation reflection
The transformation done on the heart as shown in the figure was rotation.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rotation is the flipping of a figure about a fixed point. Rotation is a rigid transformation because it preserves the shape and size of the figure.
The transformation done on the heart shown was rotation.
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Provide the missing reasons for the proof.
Given: C = E
Prove ABC ~ DBE
By AAA similarity, triangles are proved similar.
Similariy of Triangles:Two triangles are similar if they have an equivalent number of corresponding sides and corresponding angles. Objects with multiple identically shaped but differently sized figures are known as similar figures.
In the given triangles ABC and triangle DBE,
it is given that,
/C = /E
Now in the given triangles,
/C = /E .......(given)
/B = /B ........(vertically opposite angles)
/A = /D .........(if two angles of a given pair of triangles
are equal, then third angle will also be equal)
Therefore, by AAA similarity, triangles
ABC ~ DBE.
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what is unit circle table ?
A unit circle table is a table that lists the coordinates of points on a unit circle, which is a circle with a radius of 1.
The unit circle is often used in trigonometry to represent the relationships between angles and the values of the trigonometric functions sine, cosine, and tangent. The table typically lists the angle in radians or degrees in one column, and the corresponding values of sine, cosine, and tangent in other columns. The table may also include values for other trigonometric functions such as cosecant, secant, and cotangent, as well as their inverse functions such as arcsine, arccosine, and arctangent.
The unit circle table is a useful reference tool for solving trigonometric equations and for understanding the geometric properties of the trigonometric functions. Many mathematical and scientific applications use the unit circle, including engineering, physics, and astronomy.
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lindsay lines the bottom of the first pan with aluminum foil. the area of the rectangular piece of foil is 12 1/3 square inches its length is 4 3/4 hat is the width of the foil
The width of the foil is 37//19 inches
How to determine the width of the foilFrom the question, we have the following parameters that can be used in our computation:
Area of the rectangular piece of foil = 12 1/3 square inches
Length = 4 3/4 inches
The width is calculated as
Width = Area/Length
Substitute the known values in the above equation, so, we have the following representation
Width = (12 1/3)/(4 3/4)
Evaluate
Width = 37//19
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Mrs. Cook used six jars of jelly to make sandwiches for the neighborhood kids at the pool. If she used 1/10 jar of jelly on each sandwich, how many sandwiches did she make?
Mrs. Cook was able to make 60 sandwiches using 6 jars of jelly.
Determine number of sandwichMrs. Cook was able to make 60 sandwiches. To find the answer, we can use the following equation:
Total number of sandwiches = (Total amount of jelly) / (Amount of jelly used per sandwich)
In this case, the total amount of jelly is 6 jars, and the amount of jelly used per sandwich is 1/10 jar.
Plugging these values into the equation gives us: Total number of sandwiches = (6 jars) / (1/10 jar)
To solve this equation, we can multiply the numerator and denominator by 10 to get rid of the fraction:
Total number of sandwiches = (6 jars × 10) / (1/10 jar × 10)
Simplifying gives us: Total number of sandwiches = 60 jars / 1 jar
Finally, we can cancel out the "jars" units to get:
Total number of sandwiches = 60
Therefore, Mrs. Cook was able to make 60 sandwiches using 6 jars of jelly.
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Factor out the GCF of 18x^3y^4+24x^2y^5
What is A∩B in math?
In maths, A∩B refers to the intersection of two sets, A and B. This means that it includes all the elements that are in both sets A and B. For example, if A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then A∩B = {3, 4}, as these are the elements that are in both sets.
To find the intersection of two sets, you can list out all the elements in each set and then look for the ones that are in both. Alternatively, you can use a Venn diagram to visually represent the two sets and their intersection.
Here is an example using a Venn diagram:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6}
As you can see, the intersection of A and B is the area where the two circles overlap, which includes the elements 3 and 4. Therefore, A∩B = {3, 4}.
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3/4x+5= -9? what is the solution to the equation
The value of x is -18.66.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3/4x+5= -9
Now, solving for x
3/4x = -9-5
3/4 x = -14
3x = -56
x= -18.66
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how to find the coefficient of variance
Answer:
56
Step-by-step explanation:
What is 5^2 + 45 - 67 + 15x, when x is 7?
Answer:
108
Step-by-step explanation:
5^2 + 45 - 67 + 15x when x = 7
= 5^2 + 45 - 67 + 15(7)
= 25 + 45 - 67 + 105
= 70 - 67 + 105
= 3 + 105
= 108
So, the answer is 108
Half of the sum of two numbers is 12, while one-fourth of their products is 35. Find the numbers
Answer:
10 and 14
Step-by-step explanation:
let the 2 numbers be x and y , then
[tex]\frac{1}{2}[/tex] (x + y) = 12 ( multiply both sides by 2 to clear the fraction )
x + y = 24 ( subtract x from both sides )
y = 24 - x → (1)
and
[tex]\frac{1}{4}[/tex] xy = 35 ( multiply both sides by 4 )
xy = 140 → (2)
substitute y = 24 - x into (2)
x(24 - x) = 140
24x - x² = 140 ( subtract 140 from both sides )
24x - x² - 140 = 0 ( multiply through by - 1 and arrange in standard form )
x² - 24x + 140 = 0 ← in standard form
(x - 10)(x - 14) = 0 ← in factored form
equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x - 14 = 0 ⇒ x = 14
corresponding values of y are by substituting values of x into (1)
x = 10 → y = 24 - 10 = 14
x = 14 → y = 24 - 14 = 10
then the numbers are 10 and 14
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
The solution set for the inequality is,
''A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.''
What is Inequality?Any relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 3 (8 - 4x) < 6 (x - 5)
Now, Simplify the inequality as,
⇒ 3 (8 - 4x) < 6 (x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 + 30 < 6x + 12x
⇒ 54 < 18x
Divide by 18;
⇒ 54/18 < 18x/18
⇒ 3 < x
Hence, The solution of inequality on number line is,
⇒ A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
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Como convertir un decimal con entero a fracción
Answer: Para convertir un decimal a una fracción, coloque el número decimal sobre su valor posicional. Por ejemplo, en 0.6, el seis está en el lugar de las décimas, entonces colocamos 6 sobre 10 para crear la fracción equivalente, 6/10. Si es necesario, simplifica la fracción.
Step-by-step explanation:
solve for y 3/2x + 12 = - y
Step-by-step explanation:
3/2x + 12 = -y
divide all sides by -1
-y/-1 = (3/2x)/-1 + 12/-1
y = -3/2x - 12
Amy Folsom had a small pickup truck that can carry
5
8
cord of firewood. Find the number of trips needed to deliver 40 cords of wood
Amy Folsom will need to make 64 trips to deliver 40 cords of wood with her small pickup truck.
Number of tripsTo find the number of trips needed to deliver 40 cords of wood, we can use the following formula:
Number of trips = Total amount of wood / Amount of wood per trip
In this case, the total amount of wood is 40 cords and the amount of wood per trip is 5/8 cord.
Plugging these values into the formula, we get:
Number of trips = 40 / (5/8)
Number of trips = 40 * (8/5)
Number of trips = 64
Therefore, Amy Folsom will need to make 64 trips to deliver 40 cords of wood with her small pickup truck.
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4(x-2+y). ............
Answer:
4(x - 2 + y) = 4x - 8 + 4y
Step-by-step explanation:
The expression 4(x - 2 + y) is equal to 4 times the sum of x - 2 and y. This can be simplified to:
4(x - 2 + y) = 4x - 8 + 4y
Mt. Everest, the highest peak in Asia, is 29,028 feet above
sea level. The Dead Sea is 1,312 feet below sea level. What is the
level difference between these two places?
Answer:
27716
Step-by-step explanation:
come on just do 29028-1312=s 27716
What is the area of ΔABC such that b = 26 centimeters, c = 16 centimeters, and measure of angle A equals 25 degrees?
203. 013 centimeters2
189. 333 centimeters2
87. 905 centimeters2
29. 647 centimeters2
The area of ΔABC is 87.905 centimeters². The correct answer is C.
The area of ΔABC can be calculated using the formula A = (1/2)bc sin A, where b and c are the lengths of two sides and A is the measure of the angle between them.
Given that b = 26 centimeters, c = 16 centimeters, and measure of angle A equals 25 degrees, we can plug these values into the formula and calculate the area:
A = (1/2)(26)(16) sin 25
A = (1/2)(416) sin 25
A = 208 sin 25
A = 87.905 centimeters²
Therefore, the area of ΔABC is 87.905 centimeters2. The correct answer is option C. 87. 905 centimeters².
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108 in the ratio 4 : 5
What is the constant of variation for the subscription cost based on the number of weeks?
$1.50
$7.50
$15.00
$30.00
The constant of variation for the subscription cost based on the number of weeks is $7.5.
What is Slope?
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
The straight line passes through the point
(4, 30), (8, 60) and (12, 90)
so, slope of line passing through the points
m = (60- 30)/ (8-4)
m = 30/ 4
m = 7.5
Thus, the constant of variation is $7.5.
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what is outlier math definition
Answer:
In statistics, an outlier is a data point that differs significantly from other observations.
Step-by-step explanation:
Sally is 12 years old and Uncle Mike is three times as old. How many years must pass before her Uncle Mike is only twice as old as Sally? How many years ago was Uncle Mike 7 times as old?
Answer:
Uncle Mike was 7 times as old as Sally 17 years ago.
Step-by-step explanation:
Let's call Uncle Mike's current age "x."
Sally is 12 years old, so x = 12 * 3 = 36 years old.
We are looking for years that must pass before Uncle Mike is only twice as old as Sally. So we need to find the age when x = 2 * (12 + n), where n is the number of years that have passed. Solving for n:
36 = 2 * (12 + n)
36 = 24 + 2n
12 = 2n
n = 6
So, six years must pass before Uncle Mike is only twice as old as Sally.
To find out how many years ago Uncle Mike was 7 times as old as Sally, we need to find the age when x = 7 * (12 - m), where m is the number of years ago. Solving for m:
36 = 7 * (12 - m)
36 = 84 - 7m
120 = 7m
m = 17
So, Uncle Mike was seven times as old as Sally 17 years ago.
Find the length of KL.
Answer:
9
Step-by-step explanation:
IL and KL have the same length so we can set them equal.
3x = x+6
Subtract x from each side.
3x-x = x+6-x
2x = 6
Divide by 2.
2x/2 = 6/2
x=3
KL = x+6
=3+6
= 9