The simplest form of the fraction equivalent to 0.7 is 7/10
What is fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given that, to show the denominator of the fraction in the simplest form that is equal to 0.7
To convert 0.7 into a fraction, we have to write it in p/q form, where p and q are positive integers.
we can write .7 as 0.7/1
now to remove the decimal point we will multiply and divide by 10
therefore,
0.7/1 × 10/10 = 7/10
Hence, the simplest form of the fraction equivalent to 0.7 is 7/10
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betermine if ABCD is a rhombus, rectangle, square or none
A(-6,-1) B(4,-6) C(2,5) D(-8,10)
Answer:
ABCD forms a rhombus
Step-by-step explanation:
When you graph it out on a graph, the points make a rhombus
Parallelogram CDEF is shown below.
Find the length of the segments and the measure of the angles: CF, FE, ∠D, and ∠E.
The segments' lengths and the angles' measurements are FE = 11, CF = 10, d = 54, and e = 126
What is meant by parallelogram?Having sides that are parallel to one another, a parallelogram is a two-dimensional geometric shape. It is a sort of four-sided polygon (sometimes known as a quadrilateral) where each parallel pair of sides is the same length. A parallelogram has a total of 180 degrees in its adjacent angles. Parallelograms come in 4 different varieties, 3 of which are unique. Parallelograms, squares, rectangles, and rhombuses are the four different varieties.A parallelogram has two parallel, equilateral sides. Square, rectangle, and rhombus are a few instances of parallelograms.The quadrilateral shape known as a parallelogram is used in geometry. The object has four sides and is two-dimensional.As this is a parallelogram c = e
so 9y = 7y + 28
9y - 7y = 28
2y = 28
y = 14
So e would be 7(14) + 28
= 98 + 28
= 126.
And as d + e = 180, d = 180 - 126
d = 54
And as CF = DE
2x = x + 5
2x - x = 5
x = 5
CF = 2x
= 2(5)
= 10
And lastly CD = FE
CD = 3x - 4
CD = 3(5) - 4
= 15 - 4
= 11
FE = 11
So the answers are:
FE = 11, CF = 10, d = 54, and e = 126
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Lars, Rita and Alan regularly go swimming. Lars goes every
2 days, Rita goes every 3 days and Alan goes every 5 days.
They all went swimming together on Friday 1st June.
a) On what date will Lars and Rita next go swimming together?
b) On what date will Rita and Alan next go swimming together?
c) On what day of the week will all 3 next go swimming together?
d) Which of the 3 (if any) will go swimming on 15th June?
Part (a)
Lars goes every 2 daysRita goes every 3 daysThe LCM of 2 and 3 is 2*3 = 6.
Lars and Rita's schedule aligns every 6 days.
These two went swimming together on June 1st.
6 days later would be June 7th, which is when they swim together again. See the chart in part (d) below.
Answer: June 7th======================================================
Part (b)
Rita goes every 3 daysAlan goes every 5 days.LCM = 3*5 = 15
Add 15 days to the first of June to get 1+15 = 16. See the chart in part (d) below.
Answer: June 16th======================================================
Part (c)
The LCM of 2, 3, and 5 is 2*3*5 = 30
The trio will swim together every 30 days.
Since there are 7 days in a week, divide 30 over 7 and find the remainder.
30/7 = 4 remainder 2
We don't care about the quotient. All we focus on is the remainder.
A remainder of 2 means that we move 2 days ahead of Friday to land on Sunday. You can use a calendar to confirm that adding 30 days to the starting Friday will get you to Sunday. It doesn't matter what month you are in, so it could be June or any month really.
Answer: Sunday======================================================
Part (d)
Here's a chart when all three go swimming:
[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{Lars} & \text{Rita} & \text{Alan}\\\cline{1-3}1 & 1 & 1\\\cline{1-3}3 & 4 & 6\\\cline{1-3}5 & 7 & 11\\\cline{1-3}7 & 10 & 16\\\cline{1-3}9 & 13 & 21\\\cline{1-3}11 & 16 & 26\\\cline{1-3}13 & 19 & 31\\\cline{1-3}15 & 22 & 36\\\cline{1-3}\end{array}[/tex]
Each number refers to a day number in June, with exception to the 36 for Alan. Treat that "36" as 36-30 = 6 days beyond the end of June (aka July 6th).
Each person starts at 1. Lars will involve adding 2 to each item. Rita has +3 to each item. Alan has +5 to each item. That chart shows "15" only in the Lars column.
Answer: Lars onlyFind the area and circumference of each circle.
The area and circumference of each circle are 78.5cm², 31.4cm, 113.04cm², 37.68cm, 28.26cm², 18.84cm and 153.86cm², 43.96cm respectively
What is the area of a circleUsing the formula of area of a circle and circumference of a circle, we can solve for each circle as
a.
The area is given as;
A = πr²
A = 3.14 * 5²
A = 78.5cm²
The circumference = 2πr
C = 2 * 3.14 * 5 = 31.4cm
b
A = πr²
A = 3.14 * 6²
A = 113.04cm²
C = 2πr
C = 2 * 3.14 * 6
C = 37.68cm
c.
A = πr²
A = 3.14 * 3²
A = 28.26cm²
C = 2 * 3.14 * 3
C = 18.84cm
d.
A = πr²
A = 3.14 * 7²
A = 153.86cm²
C = 2πr
C = 2 * 3.14 * 7
C = 43.96cm
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The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a square inch of ice to melt at 60 degrees, find the constant of proportionality
a.
150
c.
210
b.
180
d.
200
Please select the best answer from the choices provided
A
B
C
D
Answer is B
The constant of proportionality is 180.
Which residual plot shows that the line of best fit is a good model?
A residual plot that shows clear patterns or trends in the residuals suggests that the line of best fit is not a good model.
Here are some characteristics of a residual plot that suggest that the line of best fit is a poor model,
The residuals show a clear pattern or trend, such as a curve or a U-shape.
The residuals are not evenly distributed above and below zero.
There are one or more outliers or extreme values that stand out from the rest of the data.
The variability of the residuals changes across the range of the predictor variable.
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as a rule of thumb, altitude corrections of less than 100 feet should be corrected by using
As a rule of thumb, altitude corrections of less than 100 feet for determining the pressure at a given altitude should be corrected using the standard pressure-altitude correction tables.
These tables provide the correction factor for the difference between the actual and standard atmospheric pressure at a given altitude. The correction factor can then be applied to the standard pressure value to obtain the actual pressure value at that altitude. Note that the standard atmospheric pressure is defined as 29.92 inches of mercury (in Hg) at sea level. The pressure decreases with increasing altitude in the lower atmosphere. The pressure-altitude correction tables provide a convenient and accurate way of determining the atmospheric pressure at different altitudes.
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Multiply 2 by 2 until you get 4 numbers.
I got 1024 but its not right
Answer: 1024
Step-by-step explanation:
2 x 2 is 4
4 x 2 is 8
8 x 2 is 16
16 x 2 is 32
32 x 2 is 64
64 x 2 is 128
128 x 2 is 256
256 x 2 is 512
512 x 2 is 1024
write x=[tex]\sqrt{y^2-3}[/tex] as a set of parametric equations with x =[tex]\sqrt{} t[/tex]
The set of parametric equations are
[tex]x=\sqrt{t}[/tex]
[tex]y=\sqrt{3+t[/tex]
Parametric Equations:A parametric equation uses a parameter, which is an independent variable (often represented by the notation t), and dependent variables, which are expressed as continuous functions of the parameter and are independent of other variables.
Using one or more independent variables known as parameters, a parametric equation defines a set of quantities as functions.
Given the equation:
[tex]x= \sqrt[]{y^{2}-3 }[/tex]
Let's find a set of parametric equation for the given equation given the parameter:
[tex]x = \sqrt{t}[/tex]
From the parameter:
[tex]x = \sqrt{t}[/tex]
Now, substitute [tex]\sqrt{t}[/tex] for x in the given equation:
[tex]x=\sqrt{y^2-3} \\\\\sqrt{t} = \sqrt{y^2 - 3} \\\\t=y^2-3\\\\y^2=3+t\\\\y=\sqrt{3+t}[/tex]
Therefore, the set of parametric equations is:
• [tex]x=\sqrt{t}[/tex]
• [tex]y=\sqrt{3+t}[/tex]
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Jorge's printer can print 24 pages in 15 minutes. How many pages can it print in 3/4
hour. How many pages can he print in 1 hour?
Answer:
3/4 hour-72
1 hour- 92
Step-by-step explanation:
3/4-
24 x 3= 72
1-
24 x 4 =92
8q≥– 8 I need the answer pls
Answer:
=q > - 1
Step-by-step explanation:
8q > - 8
= 8q/8 > -8/8
=q > - 1.
Cindy spent $65. 25 on ingredients
for blueberry pies and $62. 84 on
ingredients for cherry pies. Each slice
of pie sells for $3. 50
Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.
1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.
2. Add the two amounts together: $65.25 + $62.84 = $128.09
3. Each slice of pie sells for $3.50.
4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.
the complete question is :
Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on
ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?
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the following data set represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 suppose that the last value, 75, was mistakenly recorded as 5. what measure(s) of the typical value in a data set would be affected by this error? select all that apply.
The following measures of typical value in a data set would be affected by the error:
Mean: The mean is the sum of all the values divided by the number of values. If one value is significantly different from the rest, it can significantly affect the mean. In this case, the mean would be affected because the value of 5 is much lower than the other values in the data set, which would cause the mean to be lower than it should be.
Median: The median is the middle value in a data set. If the error is low enough, it may not affect the median, but if it is low enough to move the value of 5 to the middle of the data set, the median would be affected.
In conclusion, the mean and median of this data set would be affected by the error of recording the value of 75 as 5.
The mode, mean and median of this data set would be affected by the error of recording the value of 75 as 5.
Given that, a data set represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 suppose that the last value, 75, was mistakenly recorded as 5.
so, here, due to mistake the mode, mean and the median will be affected.
Adding a data point to the set, or taking one away, can affect the mean, median, and mode.
If we add a data point that's above the mean, or take away a data point that's below the mean, then the mean will increase.
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A new refrigerator comes packaged in a box shaped like a rectangular prism. The base of the box measures 6 feet by 12 feet. The total surface area of the box is 396 square feet. What is the height of the box in feet?
Answer:
7 feet
Step-by-step explanation:
You want the height of a 6' by 12' cuboid box that has a total surface area of 396 square feet.
Surface areaThe formula for the surface area of a cuboid is ...
SA = 2(LW +H(L+W))
ApplicationFor the given box, this is ...
396 = 2(6·12 +H(6+12))
198 = 72 +18H . . . . . . . . . . divide by 2
126 = 18H . . . . . . . . . . . subtract 72
7 = H . . . . . . . . . . . . divide by 18
The height of the box is 7 feet.
Rain is falling at a rate of 4/5 inches every 2/3 hours. What complex fraction can you use to find the unit rate in inches per hour?
the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.
Finding unit rate in inches per hour
The unit rate in inches per hour can be found by dividing the amount of rain falling per unit of time by the corresponding unit of time. In this case, we have 4/5 inches falling every 2/3 hours, so we can find the unit rate by dividing 4/5 by 2/3:
(4/5) / (2/3) = (4/5) X (3/2) = 6/5 inches per hour
So the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.
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A circle has a radius of 3 inches. What is the circumference of the circle? (Use 3.14
for pi.)
Answer: look at the image for the answer and the solution
Step-by-step explanation:
Answer: 18.84
Step-by-step explanation:
because the radius is 3, the diameter is 6. And the circumference is C=pi(d).In this case, C=3.14(6), and 3.14*6=18.84
Quadrilateral ABCD~ Quadrilateral WXYZ, AB= 15, BC= 27, WX= 10
The scale factor is 3/2. The length of XY is 18.
What are similar Quadrilaterals?
Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape. Real-world examples of congruent figures or objects include, for instance, both of a person's hands, both of a car's front wheels, etc.
If the corresponding angles and sides of two quadrilaterals are equal, then the two quadrilaterals are similar.
Given that Quadrilateral ABCD is similar to Quadrilateral WXYZ.
Thus
AB/WX = BC/XY = CD/YZ = AD/WZ ....(i)
The length of AB = 15, BC= 27, WX= 10
The scale factor is
AB/WX = BC/XY = CD/YZ = AD/WZ
= 15/10
= 3/2 [Divide the denominator and numerator by 5]
Take first two ratios of (i):
AB/WX = BC/XY
15/10 = 27/XY
3/2 = 27/XY
XY = 27 × (2/3)
XY = 18
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identify the constraints in this problem, and use them to set up a system of linear equations that describes the traffic flow along each street. your answer should include: i. a list of constraints along with an explanation for each constraint. ii. the linear system of equations that model this scenario.
Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St.
(a) Constraints:
The flow into and out of Jones St. is equal to the total flow into and out of Salisbury St. and Edenton St.
The flow into and out of McDowell St. is equal to the total flow into and out of Salisbury St. and Edenton St.
The flow into and out of Salisbury St. is equal to the sum of the flow into and out of Jones St. and McDowell St.
The total flow into and out of each street must be greater than or equal to 0.
Let x, y, z, and w be the traffic flow in cars per hour along Jones St., Salisbury St., Edenton St., and McDowell St., respectively. Then the system of linear equations that models this scenario is:
x - y - z = 0
w - y - z = 0
y + z - x - w = 0
x, y, z, w ≥ 0
(b) Augmented matrix representation:
[1 -1 -1 0 | 0]
[0 -1 -1 1 | 0]
[1 -1 1 -1 | 0]
[1 0 0 0 | 0]
Gauss-Jordan reduction:
[1 0 0 0 | 0]
[0 1 0 0 | 0]
[0 0 1 0 | 0]
[0 0 0 0 | 0]
The final augmented matrix is shown above. The solution to the system is x = 0, y = 0, z = 0, and w = 0.
(c) If the city were to close one of these 4 roads, then the traffic would have to be rerouted. Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St. Therefore, the city should close Salisbury St.
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Suppose the graph of rectangle ABCD shows the plans for a safety fence that Kenny is setting up around a construction area. Each unit on the graph represents 25 feet. After studying the plans, Kenny decides to build a fence that encloses a larger area. If Kenny dilates rectangle ABCD by a scale factor of 2.5, and fencing costs $5.25 per foot, how much will he spend on fencing?
The cost of spending the fencing around will be $1312.5.
What is a perimeter?The perimeter of any two-dimensional figure is defined as the sum of all the sides of the figure. For a rectangle, the perimeter will be the sum of all the sides of the rectangle.
Given that the graph of rectangle ABCD depicts Kenny's intentions for erecting a safety fence to surround a construction site. The units on the graph each correspond to 25 ft.
Kenny decides to construct a fence that encloses a wider region after carefully reviewing the drawings. Given that fencing costs $5.25 per foot and Kenny enlarges rectangle ABCD by a scale factor of 2.5
Perimeter = 4 x side x scale factor
Perimeter = 4 x 25 x 2.5
Perimeter = 250 feet.
The cost of fencing will be,
Cost = 250 x $5.25
Cost = $1312.5
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What is the solution to 3 (2k + 3) = 6 - (3k - 5)?
Move the correct answer to each box. Not all answers will be used.
k
-8 -2 2
3 8
9
Answer: 22k
Step-by-step explanation:
The solution to the equation is k = 2/9
What is an 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.
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 data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
3 ( 2k + 3 ) = 6 - ( 3k - 5 ) be equation (1)
On simplifying , we get
3 ( 2k ) + 9 = 6 - 3k + 5
6k + 9 = 11 - 3k
Adding 3k on both sides , we get
9k + 9 = 11
Subtracting 9 on both sides , we get
9k = 2
Divide by 9 on both sides , we get
k = 2/9
Therefore , the value of k is 2/9
Hence , the solution is k = 2/9
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The triangles are similar.
What is the value of x?
See the attachment for the problem to be answered.
Answer:
16
Step-by-step explanation:
20/5 = 12/3 = x/4
x/4 = 4
x = (4)(4) = 16
Answer:16
Step-by-step explanation:multiply 4 by 4
. How many 1/3 cup servings are in 8 cups of granola?
Answer:
24
Step-by-step explanation:
If we convert this problem into "math language", it's basically asking what is 8 divided by 1/3? So, we set this up: [tex]\frac{8}{\frac{1}{3} }[/tex] = 8 * 3 = 24
t^3=1. What is t, the cube root of 1?
Answer:
1
Step-by-step explanation:
1 cubed is 1 so it only makes sense for t=1
The cube root of 1 is 1. So, t = 1.
( Which of these shapes have the same area?
A
B and C
A and C
A and B
The shapes with the same areas are (c) A and B
How to determine the shapesThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Figures A, B and C
For the figures A, B and C to have the same area, the number of boxes on the shapes must be the same
Using the above as a guide, we have the following:
Figure A = 16 square unitsFigure B = 16 square unitsFigure C = 25 square unitsBy comparison, we have
A and B = 16 square units
Hence, the shapes A and B have the same area
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the satellite is in the shape of a rectangular prism. which polynomial represents the volume of the satellite? a rectangular prism with length 4 x minus 3 feet, a width of x plus 1 feet, and a height of x plus 2 feet.
The volume of the rectangular prism will be (4x - 3)(x + 1)( x+2) cubic feet.
What is the volume?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
Given that the length, width, and height of the rectangular prism are,
The volume of the rectangular prism will be calculated as,
Volume = Length x width x Height
Volume = (4x - 3)(x + 1)( x+2) cubic feet
Therefore, the polynomial for the volume will be (4x - 3)(x + 1)( x+2) cubic feet.
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Which ordered pair is the solution to the system of equations?
The correct answer is C. (1, 5) is the ordered pair which is the solution to the system of equations.
What is a system of equations?A group of two or more equations with the same variables is referred to as a system of equations. The set of values for the variables that make all of the equations in a system of equations true is known as the solution.
The solution to the systems of equations is x = 1 and y = 5.
To solve this system of equations, we can begin by subtracting the two equations to get y - y = -x + 6 - (x + 4).
Simplifying, we get -2x = 2.
Then, dividing both sides of the equation by -2, we get x = -1.
We can now substitute the value of x into either one of the original equations to find the value of y.
If we substitute x = -1 into the first equation, we get y = -1 + 4, which simplifies to y = 3.
Therefore, the solution for this system of equations is x = -1 and y = 3.
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A shaded semicircle is inside a circle
The radius of the circle is 10 cm
The diameter of the semicircle is 8 cm
How many times bigger is the unshaded area than the shaded area?
The unshaded area is 11.5 times bigger than the shaded area.
What is the area of the circle?
The area of the circle is given by:
A_circle = πr^2
where;
r is the radius of the circle. In this case, r = 10 cm, so:
A_circle = π(10 cm)^2 = 100π cm^2
The area of the semicircle is given by:
A_semicircle = (1/2)πr^2
where;
r is the radius of the semicircle.In this case, the diameter of the semicircle is 8 cm, so the radius is 4 cm:
A_semicircle = (1/2)π(4 cm)^2 = 8π cm^2
To find the area of the shaded region, we need to subtract the area of the semicircle from the area of the circle:
A_shaded = A_circle - A_semicircle
= 100π cm^2 - 8π cm^2
= 92π cm^2
The unshaded area is the area of the circle minus the area of the shaded region:
A_unshaded = A_circle - A_shaded
= 100π cm^2 - 92π cm^2
= 8π cm^2
So the unshaded area is 8π cm^2 and the shaded area is 92π cm^2.
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In the​ U.S., shoe sizes are defined differently for men and​ women, but in​ Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college​ students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of​ center?
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately.
The problem with the central measure, mean or median, in this case is that the data is not gender-specific and there is a possibility that male and female shoe size distributions are different. Therefore, calculating the average or median shoe size for all students may not accurately reflect the typical male and female shoe sizes, respectively.
For example, if the males in the sample have, on average, a larger shoe size than the females, then the average shoe size of all students might be biased towards the larger size, even if most of the students are female. On the other hand, if you have several boys with very large shoe sizes, the median shoe size of all students may be biased toward the larger size, even if most of the students are women with small shoe sizes.
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately. Alternatively, a fashion report representing the most common shoe sizes in the data might be a better measure of the centroid.
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How do you know that the sum of is rational? The sum is a terminating and a repeating decimal. The sum is a non-terminating and a non-repeating decimal. The sum is a fraction. The sum is an integer.
In response to the given problem, we can state that the fraction sum is a rational fraction. The numerators of true fractions are smaller than the denominators.
What is fraction?To represent a whole, any number of equal parts or fractions can be utilized. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of an entire. In mathematics, numbers are stated as a ratio of the numerator to the denominator.
They can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator.
A sum that is a fraction of a total is called a fraction. You can analyse something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolize half of a full number or object.
And
[tex]-11/4 + 5/9[/tex]
[tex]-99+20 / 36 = -79/36[/tex]
Therefore, By fraction, sum is fraction as rational.
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the primary tool or measure for determining whether the assumed regression model is appropriate is .
The primary tool or measure for determining whether the assumed regression model is appropriate is the residual plot.
A residual plot is a graph that shows the residuals, or the differences between the observed values and the predicted values from the regression model, plotted against the predictor variable(s). If the residuals are randomly scattered around zero, with no discernible pattern, then the regression model is a good fit for the data.
However, if there is a pattern in the residuals, such as a curved or U-shaped relationship, then the regression model may not be appropriate and a different model may need to be considered.
In addition to the residual plot, other measures such as the coefficient of determination (R-squared), the p-values of the regression coefficients, and the normality of the residuals can also be used to evaluate the goodness of fit of a regression model.
However, the residual plot is often considered the primary tool for assessing the adequacy of a regression model.
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