Answers
Representation of a number in three different ways:
133: [12 tens and 13 ones], [13 tens and 3 ones], [1 hundred, 3 tens and 3 ones]
678: [67 tens and 8 ones], [60 tens and 78 ones], [6 hundreds, 7 tens and 8 ones]
877: [80 tens and 77 ones], [87 tens and 7 ones], [8 hundred, 7 tens and 7 ones]
543: [54 tens and 3 ones], [50 tens and 43 ones], [5 hundreds, 4 tens and 3 ones]
453: [45 tens and 3 ones], [40 tens and 53 ones], [4 hundreds, 5 tens and 3 ones]
341: [30 tens and 41 ones], [34 tens and one], [3 hundreds,4 tens and one]
555: [50 tens and 55 ones], [55 tens and 5 ones], [5 hundreds, 5 tens and 5 ones]
485: [48 tens and 5 ones], [40 tens and 85 ones], [4 hundreds, 8 tens and 5 ones]
789: [78 tens and 9 ones], [70 tens and 89 ones], [7hundreds, 8 tens and 9 ones]
864: [86 tens and 4 ones], [80 tens and 64 ones], [8 hundreds, 6 tens and 4 ones]
652: [65 tens and 2 ones], [60 tens and 52 ones], [6hundreds, 5 tens and 2 ones]
Here given an example to write a particular number in different representations.
13 tens and 12 ones = 13*10 + 12*1 = 130 + 12 = 142.
14 tens and 2 ones = 14*10 + 2*1 = 140 + 2 = 142.
1 hundred, 4 tens and 2 ones = 1*100 + 4*10 + 2*1 = 100 + 40 + 2 = 142.
So three representations are of number 142.
Rest blanks should be filled in same manner taking different numbers for each rows and three columns of each row should be filled with three different representation of that assumed numbers.
Representations for some numbers:
133: [12 tens and 13 ones], [13 tens and 3 ones], [1 hundred, 3 tens and 3 ones]
678: [67 tens and 8 ones], [60 tens and 78 ones], [6 hundreds, 7 tens and 8 ones]
877: [80 tens and 77 ones], [87 tens and 7 ones], [8 hundred, 7 tens and 7 ones]
543: [54 tens and 3 ones], [50 tens and 43 ones], [5 hundreds, 4 tens and 3 ones]
453: [45 tens and 3 ones], [40 tens and 53 ones], [4 hundreds, 5 tens and 3 ones]
341: [30 tens and 41 ones], [34 tens and one], [3 hundreds,4 tens and one]
555: [50 tens and 55 ones], [55 tens and 5 ones], [5 hundreds, 5 tens and 5 ones]
485: [48 tens and 5 ones], [40 tens and 85 ones], [4 hundreds, 8 tens and 5 ones]
789: [78 tens and 9 ones], [70 tens and 89 ones], [7hundreds, 8 tens and 9 ones]
864: [86 tens and 4 ones], [80 tens and 64 ones], [8 hundreds, 6 tens and 4 ones]
652: [65 tens and 2 ones], [60 tens and 52 ones], [6hundreds, 5 tens and 2 ones]
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Related Questions
Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 8 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
Answers
The likely population of the infected elk in the wildlife preserve is 840.
What is the likely population of the infected elk?A sample is a smaller group of the population. A sample is a representation of the population.
The fraction of infected elks in the sample to the total sample would be the same of the infected elks in the population to the total population of the elks.
Population of the infected elk = (infected elks in the sample / total sample) x number of elks in the preserve
(8/50) x 5250
= 0.16 x 5250 = 840
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A simple gable roof is to cover a span of 32 feet. If it is to have a 7:12 pitch, how tall will the ridgeline be above the house?
Answers
The ridgeline will be 18.67 feet above the house.
What will be the height of the ridgeline above the house?Generally, a height refers to the measurement of someone or something from head to foot or from base to top.
To find the height of the ridgeline, we will use the formula: Height = (Pitch / 12) * Span
Given data:
Pitch = 7
Span = 32 feet
Inputting the values, we have:
Height = (7 / 12) * 32
Height = 0.5833 * 32
Height = 18.6656
Height = 18.67 feet.
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I need help please guys
Answers
The solution is :
After the row operation replaces the second row, the augmented matrix is : [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]
Here, we have,
The designated sum can replace either row. Consult your curriculum materials for the intent.
Here, we'll replace row 2 with the sum.
3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)
After the row operation replaces the second row, the augmented matrix is ... [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]
Hence, The solution is :
After the row operation replaces the second row, the augmented matrix is : [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]
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A rectangle has an area of 114cm squared and a perimeter of 50 cm. What are its dimensions
Answers
If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.
Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².
So, we have:
lw = 114
Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.
So, we have:
2l + 2w = 50
We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:
l = 114/w
We can then substitute this expression for l in the second equation:
2(114/w) + 2w = 50
Multiplying both sides by w to eliminate the fraction, we get:
228 + 2w² = 50w
Rearranging and simplifying, we get a quadratic equation:
2w² - 50w + 228 = 0
We can solve for w using the quadratic formula:
w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5
Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:
l(5) = 114
l ≈ 22.8
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Hi
Please help on question asap if the answer is correct I'll rate you five stars a thanks and maybe even brainliest!
What do you notice about the values?
0.9 amps ÷0.03v=30 ohms.
1.9amps÷0.07v=27.149 ohms
3.1. amps ÷0.10v =31 ohms
3.9. amps ÷ 0.12v =032.5 ohms
5. amps ÷0.15v=33.33 ohms
6.1. amps ÷0.19v=32.1053 ohms
Answers
In the given data, current and voltage are directly proportional, while the resistance is constant.
What is the relationship between current and voltage?The relationship between the voltage, current, and resistance in an electric circuit is described by Ohm's Law.
The law states that the voltage across a circuit is directly proportional to the current flowing in the circuit.
V ∝ I
V = IR
where;
R is the resistance, the proportionality constantFrom the given data set we can see that for each division of current by voltage we have almost a constant value of 30 ohms.
Thus, if we observe the values given in the data set, we can conclude that;
current and voltage are directly proportional, while the resistance is constant.
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factorise fully
1) 3x² - 27y²
2) 2014² - 2013²
please help
Answers
Answer: 3x² - 27y² = (3x²) - (27)(y²) = 3(x² - 9y²) = 3(x - 3y)(x + 3y), and 2014² - 2013² = (2014 + 2013)(2014 - 2013) = (3127)(1) = 3127
Im not 100% sure of this answer cause I'm not that good at stuff like this but I still think this is right fr fr
100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!
Answers
The required exact value of sin(585 degrees) is -0.707
The sine function is periodic with a period of 360 degrees.
Therefore,
= sin(585 degrees)
= sin(585 degrees - 360 degrees)
= sin(225 degrees).
The sine function has a negative value in the third quadrant, and 225 degrees is in the third quadrant.
Therefore,
sin(225 degrees) = -sin(45 degrees)
= -(1/sqrt(2)) = -0.7071.
Therefore, the exact value of sin(585 degrees) is -0.7071.
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Which of the following is an example of a statistical experiment?
A Twenty people in a neighborhood are asked if they want more streetlights on the street.
OB. More streetlights are installed on one street and people are then asked if they like the change.
OC. The number of accidents on the street is compared to last year's rate.
OD. People are asked to call a number to comment about the need for new streetlights.
Answers
Answer:
B. More streetlights are installed on one street and people are then asked if they like the change.
Step-by-step explanation:
An experiment is a type of research method that involves manipulating one or more variables and measuring their effects on other variables. In this case, the experiment is to change the color of the product packaging and see how many people like the change. This is because the outcome of the experiment (the number of people who like the change) depends on chance and can be measured using numerical data. The other options are not experiments, but surveys or observations. Surveys involve asking people questions and collecting their opinions or preferences. Observations involve watching and recording people's behavior or reactions without interfering with them.
In the figure, what percentage of the circles are shaded?
Answers
Answer: E. 25%
Step-by-step explanation: There are 12 circles in total. 3 out of those twelve are shaded in, making it in fraction form 3/12. dividing both the numerator in the denominator by 3 simplifies it into 1/4. which is subsequently, 25%
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
Answers
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.
Answers
The set of 3 lengths that make a right triangle is {8, 15, 17}
Which three lengths should she use?Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.
So if the 3 sides are A, B, and C, such that:
A < B < C
We will have:
A² + B² = C²
Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:
8² + 15² = 17²
289 = 289
That equationis true, thus, these 3 lengths make a right triangle.
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Write an expression to represent: 6 times the difference of 5 and x
Answers
Answer:
6 * (5 - x)
Step-by-step explanation:
This expression calculates the difference between 5 and x, and then multiplies it by 6. The difference is obtained by subtracting x from 5, and then the entire result is multiplied by 6.
Can someone please answer and provide an explanation for these problems?
Answers
Answer:
50) Midpoint: (5.5, 0)
51) Midpoint: (6, -8)
Step-by-step explanation:
We can find the midpoint between two points using the midpoint formula, which is m = (x1 + x2) / 2, (y1 + y2) / 2, where
m is the midpoint,(x1, y1) are one point,and (x2, y2) are another point50) We can allow (10, 10) to be our (x1, y1) point and (1, -10) to be our (x2, y2) point:
x-coordinate of midpoint of (10, 10) and (1, -10):
(10 + 1) / 2
11 / 2
5.5
y-coordinate of midpoint of (10, 10) and (1, -10):
(10 + (-10)) / 2
(10 - 10) / 2
0 / 2
0
Thus, the midpoint of the line segment with the endpoints (10, 10) and (-1, 10) is (5.5, 0).
51) We can allow (3, -6) to be our (x1, y1) point and (9, -10) to be our (x2, y2) point:
x-coordinate of midpoint of (3, -6) and (9, -10):
(3 + 9) / 2
12 / 2
6
y-coordinate of midpoint of (3, -6) and (9, -10):
(-6 + -10) / 2
(-16) / 2
-8
Thus, the midpoint of the line segment with the endpoints (3, -6) and (9, -10) is (6, -8).
How long must 100 be invested at a rate of 4% to earn 32.00 in interest
Answers
Which of the following is not the solution of system of inqualities
(1,0) (8,0). (0,4). (3,0)
Answers
The points (1,0) (8,0). and. (3,0) are not the solution of system of inqualities
How to deterine which is not the solution of system of inqualitiesFrom the question, we have the following parameters that can be used in our computation:
The graph
Also, we have the following ordered pairs
(1,0) (8,0). (0,4). (3,0)
From the graph, we have the following ordered pairs in the shaded region
(0, 4)
Other points (1,0) (8,0). and. (3,0) are not in the shaded region
This means that (1,0) (8,0). and. (3,0) are not the solution of system of inqualities
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Before the new carpet is installed, all
the walls and the ceiling will be painted
with primer. If one gallon of primer
covers 300 square feet, how many
gallons of primer will be needed?
44 ft
8 ft
32 ft
Answers
You would need to purchase 6 gallons of primer.
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
Answers
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
area of a floor 19m by 12 m is
Answers
Answer:228m
Step-by-step explanation: 19m x 12m = 228m
Answer: 228m
Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.
Please someone help me with this. Simplify. The expression in the picture no negative exponents should be added in the answer
Answers
A simplification of the given expression is 1/m¹⁶.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.
Mathematically, an exponent can be represented or modeled by this mathematical expression;
bⁿ
Where:
the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.By applying the division and multiplication law of exponents for powers of the same base to the given algebraic expression, we would have the following simplified expression:
[tex](m^{\frac{4}{5}} \cdot m^{\frac{4}{5}} )^{-10}\\\\(m^{\frac{4}{5} +\frac{4}{5} } } )^{-10}\\\\(m^{\frac{8}{5} } )^{-10}\\\\(m^{\frac{8 \times -10}{5} } )\\\\(m^{\frac{-80}{5} } )\\\\m^{-16}[/tex]
1/m¹⁶
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15(2x -10) + 4x= -3(15x + 4)
Answers
The value of x in the equation 15(2x - 10) + 4x = -3(15x + 4) is 1.7
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators.
Given the equation:
15(2x - 10) + 4x = -3(15x + 4)
Solving the parenthesis:
30x - 150 + 4x = -45x - 12
Collect like terms:
30x + 4x + 45x = -12 + 150
79x = 138
Dividing both sides by 79:
x = 1.7
The value of x is 1.7
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Write the coordinates of the vertices after a dilation with a scale factor of 1 2 , centered at the origin.
Answers
The coordinates of the vertices after a dilation of the scale factor would be:
W' = (2.5, 5)V' = (0, -5)U' = (2.5, -5)How to dilate the vertices ?To perform a dilation with a scale factor of 1/2 centered at the origin, we multiply the coordinates of each vertex by the scale factor.
Given the vertices:
W = (5, 10)
V = (0, -10)
U = (5, -10)
After applying the dilation with a scale factor of 1/2, the new coordinates of the vertices would be:
W' = (5 * 1/2, 10 x 1/2) = (2.5, 5)
V' = (0 * 1/2, -10 x 1/2) = (0, -5)
U' = (5 * 1/2, -10 x 1/2) = (2.5, -5)
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Please solve this question
Answers
The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.
We have,
The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
Now,
Given that the parabola passes through (-2, 4) and has a vertex (0, 8), we can substitute these values into the equation to find the value of 'a'.
Using the vertex (0, 8):
8 = a(0 - 0)² + 8
8 = a(0) + 8
8 = 8
Since the coefficient of the squared term is 'a', which remains unchanged, we can conclude that a = 1.
Therefore,
The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.
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The slope of a line of best fit is undefined when _____.
select all that apply
(1) the x values of the data set are constant
(2) the y values of the data set do not change when the x values change
(3) the slope of the line of best fit is vertical
(4) the slope is of the line of best fit is horizontal.
(5) the x values of the data set increase at an unspecified rate as the y values decrease
Answers
The slope of a line of best fit is undefined when the slope is of the line of best fit is horizontal. This is because a horizontal line has a slope of zero
The slope of a line of best fit is undefined when the slope is of the line of best fit is horizontal. A line of best fit is a straight line that is used to represent the data on a scatter plot. It is the line that best fits the data points in a scatter plot.
The slope of a line of best fit is the rate of change of the y-coordinate relative to the x-coordinate.. In other words, there is no rate of change of the y-coordinate relative to the x-coordinate when the line is horizontal.
The x values of the data set increase at an unspecified rate as the y values decrease. This means that the line of best fit has a negative slope. A negative slope means that the y-coordinate decreases as the x-coordinate increases.
In other words, there is a rate of change of the y-coordinate relative to the x-coordinate. The slope of the line of best fit is the value of this rate of change.
The slope of a line of best fit is used to determine the direction and strength of the relationship between two variables.
A positive slope means that the variables are directly proportional, while a negative slope means that they are inversely proportional. The slope of a line of best fit can be calculated using the formula y2 - y1 / x2 - x1.
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A bag contains 14 blue marbles, 6 green marbles and 8 purple marbles. What is the likelihood of randomly drawing a blue marble?
Answers
Answer:
0
Step-by-step explanation:
because 6 plus 8 eqaul 14
how many cubes that are 1" x 1" x 1" could fit into a box that is 8" x 8" x 8"
Answers
Answer:
512
Step-by-step explanation:
To determine how many 1" x 1" x 1" cubes can fit into an 8" x 8" x 8" box, we need to calculate the volume of the box and then divide it by the volume of a single cube.
The volume of the box is calculated by multiplying its length, width, and height:
Volume of the box = 8" x 8" x 8" = 512 cubic inches.
The volume of a single cube is 1" x 1" x 1" = 1 cubic inch.
To find out how many cubes can fit, we divide the volume of the box by the volume of a single cube:
Number of cubes = Volume of the box / Volume of a single cube
Number of cubes = 512 cubic inches / 1 cubic inch
Number of cubes = 512
Therefore, 512 cubes that are 1" x 1" x 1" can fit into an 8" x 8" x 8" box.
If you have a cube that is 1x1x1 and a box that is 8x8x8, then you would multiply the 8x8x8 and get 512 because the cube is only 1x1x1 and when you multiply 8x1 you still get 8.
PLEASE HELP WITH THIS! PLEASE! SURFACE AREA. I HAVE NO CLUE!!
Answers
Answer: 626 yd^2
Step-by-step explanation: First you need to split the figure into 2 rectangular prisms (see attached image). The tallest rectangular prism has a length of 12 yd, a width of 3 yd, and a height of 11 yd. The shorter one has a length of 12yd, a width of 4 yd, and a height of 4 yd. The surface area equation is SA=2(wl+hl+hw). First solve for the taller rectangular prism. SA=2(3x12+11x12+11x3). SA=2(36+132+33). SA=2(201). SA=402 yd^2. Now solve for the smaller rectangular prism. SA=2(4x12+4x12+4x4). SA=2(48+48+16). SA=2(112). SA=224 yd^2. Lastly, add both values together. 402+224=626 yd^2.
WhaYou is 1/5 divided by 2/6
Answers
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
2=a
7=b
Step-by-step explanation:
a+14=6a+4
-a
14=5a+4
-4
10=5a
/5
2=a
9b+8=10b+1
-1
9b+7=10b
-9b
7=1b
/1
7=b
Answer:
WZ=7
XY=7
WX=2
ZY=2
Step-by-step explanation:
9b+8=10b+1
Take 9b to 10b and 1 to 8 to form the equation
8 - 1 =10b - 9b
7 = b
a + 14 =6a + 4
Take a to 6a and 4 to 14 to form the equation
14 - 4 =6a - a
10 =5a
Simplify the answer
10/5 =5a/5
Five divide by five 1 and 10 divided by 5 is 2
Answer is therfore
2 = a
Based on the March expense statement, how much did Maria spend using her credit card?
A. $181.18
B. $117.57
C. $507.59
D. $25.28
Answers
can somebody please help me with this asap!
Answers
The diameter of the second pile of phosphate is 53.5 ft.
We have,
Conveyor belt:
Cone shape:
Diameter = 48.6 ft
Radius = D/2 = 24.3 ft
Height = 15.3 ft
Volume.
= 1/3 x π x r² x h
= 1/3 x 3.14 x 24.3 x 24.3 x 15.3______(1)
Shorter conveyor belt:
Cone shape:
Diameter = D
Height = (15.3 - 2.7) = 12.6 ft
Volume.
= 1/3 x π x (D/2)² x h
= 1/3 x 3.14 x (D/2)² x 12.6_______(2)
Since (1) and (2) are equal.
24.3 x 24.3 x 15.3 = (D/2)² x 12.6
(D/2)² = 717.02
D²/4 = 717.02
D² = 717.02 x 4
D² = 2868.09
D = 53.55
D = 53.5 ft
Thus,
The diameter of the second pile of phosphate is 53.5 ft.
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