Pls help thanks so much They have 8 miles and they want to know how many kilometers.How many miles in 1.5 kilometers?How many miles in 9 kilometers?3.1 miles into kilometers.Round your measurements to the nearest tenth.
Answers
To answer this question, we need to have the conversion factor for miles to kilometers as follows:
[tex]1\text{mile}\approx1.61km[/tex]Now, if we have 8 miles, we can proceed as follows:
[tex]8\text{miles}\cdot\frac{1.61\operatorname{km}}{1\text{mile}}=8\cdot\frac{mile}{mile}\cdot1.61\operatorname{km}[/tex]Therefore, we have:
[tex]8\cdot1.61\operatorname{km}=12.88\operatorname{km}[/tex]If we round this result to the nearest tenth, we finally have that the final answer is 12.9km.
Converting 1.5 kilometers into milesWe know that:
[tex]1\operatorname{km}\approx0.62miles[/tex]Therefore, if we have 1.5 km, we can proceed as follows:
[tex]\begin{gathered} 1.5\operatorname{km}\cdot\frac{0.62\text{miles}}{1\operatorname{km}}=1.5\cdot\frac{\operatorname{km}}{\operatorname{km}}\cdot0.62\text{miles} \\ 1.5\cdot0.62\text{miles}=0.93\text{miles} \end{gathered}[/tex]If we round the result to the nearest tenth, we have that 1.5 kilometers are approximately 0.9 miles.
Converting 9 kilometers to milesWe can proceed similarly:
[tex]\begin{gathered} 9\operatorname{km}\cdot0.62\frac{miles}{\operatorname{km}} \\ 9\cdot0.62\cdot\frac{\operatorname{km}}{\operatorname{km}}\cdot miles\Rightarrow\frac{km}{\operatorname{km}}=1 \\ 5.58\text{miles} \end{gathered}[/tex]If we round the result to the nearest tenth, we have that 9 kilometers are approximately 5.6 miles.
Converting 3.1 miles into kilometers
We can proceed as follows:
[tex]\begin{gathered} 3.1\text{miles}\cdot\frac{1.61\operatorname{km}}{1\text{mile}} \\ 3.1\cdot\frac{mile}{mile}\cdot1.61\operatorname{km} \\ 4.991\operatorname{km} \end{gathered}[/tex]If we round the result to the nearest tenth, we will end up with 5.0km.
In summary, we have that - rounded to the nearest tenth:
• 8miles is approximately 12.9km
,• 1.5km is approximately 0.9miles
,• 9km is approximately 5.6miles
,• 3.1miles is approximately 5.0km
Related Questions
$1,000 at 14% for 2 yearswhat is the simple interest?what is the total amount?
Answers
Answer:
Simple Interest = $280
Amount = $1,280
Explanation:
Simple Interest = PRT/100
P is the Principal = $1000
R is the Rate = 14%
T is the Time = 2 years
Simple Interest = 1000 * 14 * 2/100
Simple Interest = 10 * 28
Simple Interest = $280
Amount = Principal + Interest
Amount = $1000 + $280
Amount = $1,280
Hence the required amount is $1,280
A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.8 MB. Yesterday, there were 1400 downloads of the song, for a total download size of 5523 MB. How many downloads of the standard version were there? Number of standard version downloads:
Answers
Given:
[tex]\begin{gathered} Standard-version-size=2.7MB \\ High-quality-version-size=4.8MB \end{gathered}[/tex]To Determine: The number of standard version downloads
Solution
Let the number of downloads for standard version be x and the number of downloads for high-quality version be y
Therefore
[tex]\begin{gathered} x+y=1400===equation1 \\ 2.7x+4.8y=5523===equation2 \end{gathered}[/tex]Combine the two equations together
[tex]\begin{gathered} From\text{ equation 1} \\ y=1400-x \\ Substitute\text{ for y in equation 2} \\ 2.7x+4.8(1400-x)=5523 \\ 2.7x+6720-4.8x=5523 \\ 2.7x-4.8x=5523-6720 \\ -2.1x=-1197 \\ x=\frac{-1197}{-2.1} \\ x=570 \end{gathered}[/tex]Substitute for x in equation 1
[tex]\begin{gathered} 570+y=1400 \\ y=1400-570 \\ y=830 \end{gathered}[/tex]Hence, the number of standard version downloads is 570
Look at this table.Hours ofTraining10203040506070MonthlyPay1220142016201820202022202420osAccording to the table, what is the increase in monthly pay for each hour oftraining?A. $10B. $200C. $100D. $20
Answers
From the table,
When hour of training is 10 the pay is $1220
When hour of training is 20 the pay is $1420
Thus for increase in 10 hr the pay increases by $200.
So for 1 hour increase, the pay increases by
[tex]\frac{200}{10}=20[/tex]Thus the answer is D $20
the diagram shows two parallel lines cut by a transversal. If the measure <2 = 3y - 8, what is the measure <7
Answers
Notice that due to the fact that two parallel lines are itersected by a transversal, it generales congruent angles <2 , <3 , <6 and <7
Then the measure of angle <7 must equal the measure of <2, That is:
<7 = <2 = 3 y - 8
<7 = 3 y - 8
The SAME measure of that for angle <2 because they are "corresponding angles between parallel lines".
If they give you an answer option that reads 3 y - 8, please select it.
I have to write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation
Answers
first, express the equation ins lope intercept form ( solve for y)
x-6y = -2
-6y = -x-2
y = (-x-2) /-6
y= 1/6x + 1/3
perpendicular line have negative inverse slopes:
slope = 1/6; negative inverse = -6
So far we have:
y= -6x +b
Replace (x,y) by the given point (-5,6) and solve for b (y intercept)
6 = -6(-5)+b
6 = 30+b
6-30= b
-24 = b
Final equation
y= -6x-24
Please solve and find the equation and put the equation in quadratic form
Answers
To find the solution to the question we would use the general representation of a quadratic equation below:
[tex]ax^2+bx+c=y[/tex]We then pick a suitable point
When x=0 and y =16
[tex]\begin{gathered} a(0)^2+b(0)+c=16 \\ c=16 \end{gathered}[/tex]We then pick two more suitable points, then solve the resulting simultaneous equation
When x= 3 and y= 0
we have
[tex]\begin{gathered} a(3)^2+b(3)+16=0 \\ 9a+3b=-16 \end{gathered}[/tex]Also, when x=-5 and y =0
we have
[tex]\begin{gathered} a(-5)^2+b(-5)+16=0 \\ 25a-5b=-16 \\ \end{gathered}[/tex]We have gotten two equations, we will solve them simultaneously using the elimination method.
We will multiply equation one by 5 and equation two by 3
[tex]\begin{gathered} 5(9a+3b=-16)_{} \\ 3(25a-5b=-16) \end{gathered}[/tex][tex]\begin{gathered} 45a+15b=-80 \\ 75a-15b=-48 \\ Add\text{ equation 2 from 1} \\ 120a=-128 \\ a=-\frac{128}{120} \\ a=\frac{-16}{15} \end{gathered}[/tex]Substitute the value of a in equation 1
[tex]\begin{gathered} 45(-\frac{16}{15})+15b=-80 \\ 3\times(-16)+15b=-80 \\ -48+15b=-80 \\ 15b=-80+48 \\ 15b=-32 \\ b=-\frac{32}{15} \end{gathered}[/tex]We will then substitute a and b and c in the representation of the quadratic equation.
[tex]\begin{gathered} -\frac{16}{15}x^2-\frac{32}{15}x+16=0 \\ Multiply\text{ through by 15} \\ -16x^2-32x+240=0 \\ therefore\text{ we have} \\ -x^2-2x+15=0 \end{gathered}[/tex]Can you please check my answer? Use substitution to solve the system of equations:2y-4x=1818=3x+3yMy answer: (-1, 7)
Answers
x = -1
y = 7
Explanation:2y - 4x = 18 ...equation 1
18 = 3x+3y ...equation 2
Using substitution method:
We make y the subject of formula in equation 1:
2y - 4x = 18
2y = 18 + 4x
y = 1/2(18 + 4x)
y = 9 + 2x
substitute for y in equation 2:
18 = 3x + 3(9 + 2x)
18 = 3x + 27 + 6x
18 = 9x + 27
18 -27 = 9x
-9 = 9x
divide both sides by 9:
-9/9 = 9x/9
-1 = x
x = -1
substitute for x in equation 1:
2y - 4(-1) = 18
2y + 4 = 18
2y = 18-4
2y = 14
y = 14/2
y = 7
Identify the solid from its net. Choose the correct answer below. O square pyramid O rectangular pyramido triangular pyramid O rectangular prism
Answers
Answer:
Rectangular prism
Explanation:
The given net has 6 rectangular faces.
This corresponds with the net of a rectangular prism.
The solid is a rectangular prism.
An Australian Shepherd breeder has had three litters of puppies from the same set of parents. The following table shows the results from the three litters. In the next litter, what is the probability of a puppy having no spots? Enter a fraction or round your answer to 4 decimal places, if necessary. Number of Puppies Black and White Red and white Black with Spots Red with Spots 8 6 9 4
Answers
The total number of puppies can be gotten to be:
[tex]\Rightarrow8+6+9+4=27[/tex]The number of puppies without spots will be:
[tex]\Rightarrow8+6=14[/tex]Recall the probability definition and formula: A probability is the number of desired outcomes (D) divided by the number of total outcomes (T), that is:
[tex]P=\frac{D}{T}[/tex]From what we have calculated earlier, we have that:
[tex]\begin{gathered} D=14 \\ T=27 \end{gathered}[/tex]Therefore, the probability will be:
[tex]P=\frac{14}{27}=0.5185[/tex]The probability is 14/27 or 0.5185.
What is the equation for the points (-3,1) and (-1,-1)
Answers
We need the equation for the line going through the points (-3, 1) and (-1, -1).
To do this we write the equation of the line as:
[tex]y=mx+b[/tex]The slope m can be calculated as the ratio of the difference of the y-coordinates and the difference of the x-coordinates:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{(-1)-1}{(-1)-(-3)}=\frac{-2}{2}=-1[/tex]Knowing the slope, we can calculate the y-intercept b using one of the points and replacing in the equation:
[tex]\begin{gathered} y=(-1)x+b \\ -1=(-1)(-1)+b \\ -1=1+b \\ b=-1-1=-2 \end{gathered}[/tex]The equation of the line is: y=-x-2
What is the Area of the base (B) for the rectangle prism?
Answers
We have the area of the base is given by
[tex]\begin{gathered} A=length\times width \\ A=7\times9 \\ A=63 \end{gathered}[/tex]Answer: 63 yd^2
Christine ordered a belt from an online dealer for $47.92, before shipping costs. If Christine paid $51.06, what was the cost of shipping?
Answers
Assley, this is the solution:
Price Christine paid = $ 51.06
Price of the belt = $ 47.92
Cost of the shipping = 51.06 - 47.92
Cost of the shipping = $ 3.14
2(4z – 2) = 44 Submit
Answers
Answer: z = 6
If Zach buys a footstool during the sale for 75% off but the original price is 36$ How much does Zach pay?
Answers
Amount Zach pays = $9
Explanation:original price = $36
75% off = discount of 75%
Amount he pays = original price - discount
discount = 75% of original price = 75/100 × 36
discount = $27
Amount he pays = $36 - $27
Amount Zach pays = $9
The marching band is learning a new formation. There are 22people in the first row, 33 people in the second row, 44 people inthe third row, and so on. How may people will be in the 7th row?If there are only 7 rows, how many people are in the band?
Answers
We can see that the number of people in each row has a linear relationship with the row number.
In the row 1 the number of people is 22, in the row 2 there are 33 people, 11 more than row 1. In the row 3, there are 44 people, 11 more than row 2.
So, the function is:
[tex]\begin{gathered} \text{people}=22+(n-1)\cdot11 \\ \text{people}=2\cdot11+(n-1)\cdot11 \\ \text{people}=11\cdot(n-1+2) \\ \text{people}=11\cdot(n+1) \\ \text{Where n is the number of row} \end{gathered}[/tex]We can use the equation above to find the number of people in row 7:
[tex]\text{people in row 7}=11\cdot(7+1)=11\cdot8=88[/tex]The number of people from row 1 to 7 is:
[tex]\begin{gathered} \text{Total}=\sum ^7_{n\mathop=1}11\cdot(n+1)=11\cdot(\sum ^7_{n\mathop=1}n+\sum ^7_{n\mathop=1}1)=11\cdot(\frac{7\cdot(7+1)}{2}+7) \\ \text{Total}=11\cdot(7\cdot\frac{8}{2}+7) \\ \text{Total}=11\cdot(7\cdot4+7) \\ \text{Total}=11\cdot35=385 \end{gathered}[/tex]The total number of people is 385
The figure below is a trapezoid. If m
Answers
Given:
[tex]\begin{gathered} m\angle C+m\angle F=180\degree \\ m\angle C+77=180\degree \\ m\angle C=180\degree-77\degree \\ m\angle C=103\degree \end{gathered}[/tex][tex]\begin{gathered} m\angle D+m\angle E=180\degree \\ 121+m\angle E=180 \\ m\angle E=180-121 \\ m\angle E=59\degree \end{gathered}[/tex]Add and simplify: (2 – 7i) + (14 + 2i)
Answers
Given:
[tex](2-\text{ 7i\rparen + \lparen14 + 2i\rparen}[/tex]To find:
To add and simplify
First, we need to remove the parenthesis:
[tex]\begin{gathered} 2\text{ - 7i + \lparen14\rparen + \lparen+2i\rparen} \\ $$mu\text{ltiplication of same signs give positive sign}$$ \\ \\ 2\text{ - 7i + 14 + 2i} \\ \\ collect\text{ like terms:} \\ 2\text{ + 14 - 7i + 2i} \end{gathered}[/tex][tex]\begin{gathered} 2\text{ + 14 = 16} \\ -7i\text{ + 2i = -5i} \\ \\ =\text{ 16 - 5i} \end{gathered}[/tex]the square has a base and height of 10 cm what is the area of the Shaded region?
Answers
Shaded region S= ?
Diameter D= 10cm
Circle area= π•D^2/4
S= Square - Circle
S= D^2 - π• D^2/4
S= 10^2 - π• 25
S= 100 - 78.5= 21.5
Then answer is
Shaded area S= 21.5 cm2
The temperature of dry ice is -109.3 degrees fahrenheit less than the outsidetemperature. Write and solve an equation to find the outside temperature.
Answers
Let's set x for the temperature of dry ice.
Let's set y to for outside temperature.
Now, we have the next statement "The temperature of dry ice is -109.3 degrees Fahrenheit less than the outside". Then, we can write the next equation:
x = -109.3 - y
To find the outside termperature, we need to solve the equation for y.
Then, the outside temperature is given by the next equation;
y=-109.3 - x
Create three function equations - one linear function, one quadratic function, and one cubicfunction — that all have a solution at (-5, 32).
Answers
Given point : (-5, 32)
A linear function would take the form:
[tex]y\text{ = ax + b}[/tex]Substituting the given point:
[tex]-5a\text{ + b = 32}[/tex]Our goal is to find the constants a and b.
set a = -5
[tex]\begin{gathered} -5(-5)\text{ + b = 32} \\ 25\text{ + b = 32} \end{gathered}[/tex]Solving for b:
[tex]\begin{gathered} b\text{ = 32 - 25} \\ =\text{ 7} \end{gathered}[/tex]Hence, the linear equation:
[tex]y\text{ = -5x + 7}[/tex]A quadratic function would take the form:
[tex]y=ax^2+bx\text{ + c}[/tex]Substituting the given point:
[tex]\begin{gathered} (-5)^2a\text{ -5b + c = 32} \\ 25a\text{ -5b + c = 32} \end{gathered}[/tex]Set a = 1 and b = -1:
[tex]\begin{gathered} 25(1)\text{ -5(-1) + c = 32} \\ 25\text{ + 5 + c = 32} \\ 30\text{ + c = 32} \\ Collect\text{ like terms:} \\ c\text{ = 32 - 30} \\ c\text{ = 2} \end{gathered}[/tex]Hence, the quadratic equation is:
[tex]y=x^2\text{ -x + 2 }[/tex]A cubic equation would take the form:
[tex]y=ax^3+bx^2\text{ + cx + d}[/tex]Substituting the given point:
[tex]\begin{gathered} (-5)^3a+(-5)^2b\text{ -5c + d = 32} \\ -125a\text{ + 25b -5c + d = 32} \end{gathered}[/tex]Set a = 1, b = 6, c = 1 :
[tex]\begin{gathered} -125(1)\text{ + 25(6) - 5(1) + d = 32} \\ d\text{ = 32 -20} \\ d\text{ = 12} \end{gathered}[/tex]Hence, the cubic equation would be:
[tex]y=x^3+6x^2\text{ + x + 12}[/tex]CBiWhat is the value of Tti?02-61O2 + 603-310 3+31
Answers
If we multiply in numerator and denominator by the complex conjugate of 1+i, we have
[tex]\frac{6i}{1+i}\times\frac{1-i}{1-i}[/tex]which gives
[tex]\frac{6i+6}{2}[/tex]then, the answer is
[tex]3+3i[/tex]which corresponds to the last option
Write the equationThe line through (1, 7) and (-6, 7) in point-slope form
Answers
ANSWER:
[tex]y-7=0\cdot(x-1)[/tex]STEP-BY-STEP EXPLANATION:
We have that the equation of line in its point-slope form is the following:
[tex]y-y_1=m\cdot(x-x_1)[/tex]We must calculate the slope, we can do it using the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]We replace the points (1, 7) and (-6, 7) and calculate the value of the slope, like this:
[tex]m=\frac{7-7}{-6-1}=\frac{0}{7}=0[/tex]Since the slope is equal to 0, it would not be an equation of a line, since it is a constant, the line through both points would be:
[tex]\begin{gathered} y-7=0\cdot(x-1) \\ y=7 \end{gathered}[/tex]Match each expression to the correct number of significant figures.27.65?1320-----?213.1 + 4.823200?4
Answers
Non-zero digits are always significant.
27.65 => 4 significant figure
13.1+4.8 = 17.9 => 3 significant figures
Trailing zeroes are not significant, except when there is a decimal point in the number.
320 => 2 significant figures
200 => 1 significant figure
6. Figure ABC has vertices A (4,2), B(2,6), and C(6, 6). Sketch ABC and draw its image after the translation (x,y) → (x-6,y-3). 1 2
Answers
Locate the vertices on the plane and draw the figure:
Now, apply the translation to find the coordinates of the new figure.
[tex]\begin{gathered} A\colon(4-6,2-3) \\ A\colon(-2,-1) \\ B\colon(2-6,6-3) \\ B\colon(-4,3) \\ C\colon(6-6,6-3) \\ C\colon(0,3) \end{gathered}[/tex]Draw the new figure with coordinates D(-2,-1) E(-4,3) F(0,3):
This is a picture of the pre image ABC and the image DEF after the translation.
the height of a triangle is 3 yards less than twice the base.the area of the triange is 27 square yards.find the base and height of the triange
Answers
let h be height and b the base. So we get that
[tex]\begin{gathered} \frac{h\cdot b}{2}=27\rightarrow h\cdot b=54 \\ h=2b-3 \end{gathered}[/tex]so we get that
[tex]\begin{gathered} (2b-3)b=54 \\ 2b^2-3b-54=0 \\ (b-6)(2b+9)=0 \end{gathered}[/tex]as b must be positive, we get that b=6, and therefore h=12-3=9
Find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form m= -7/2, point (-8,-4)
Answers
Given:-
[tex]undefined[/tex]9. Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0,0)..184 100
Answers
You know that the center of this ellipse is at this point:
[tex](0,0)[/tex]Therefore, it is centered at the Origin.
The Standard form of the equation of a ellipse centered at the Origin, is:
1. When it is horizontal:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]Where:
[tex]a>b[/tex]2. When it is vertical:
[tex]\frac{x^2}{b^2^{}}+\frac{y^2}{a^2^{}}=1[/tex]Where:
[tex]a>b[/tex]It is important to know that the coordinates of the vertices, when it is horizontal, is given by:
[tex](\pm a,0)[/tex]And the coordinates of the co-vertices are:
[tex](0,\pm b)[/tex]When it is vertical, the vertices are:
[tex](0,\pm a)[/tex]And the co-vertices:
[tex](\pm b,0)[/tex]You know that, in this case, the ellipse is 10 units high and 8 units wide, then you can identify that it is vertical.
Therefore, you can find "a" and "b" as following:
[tex]\begin{gathered} a=\frac{10}{2}=5 \\ \\ b=\frac{8}{2}=4 \end{gathered}[/tex]Then, its equation in Standard form is:
[tex]\begin{gathered} \\ \\ \frac{x^2}{16^{}}+\frac{y^2}{25^{}}=1 \end{gathered}[/tex]The answer is: Second option.
Solve the following using substitutionY = 2X - 34X -3Y = 31
Answers
In order to solve the given substitution we just have to replace 2X - 3 for y into 4X - 3Y = 31, like this:
4X - 3Y = 31
4x - 3(2x - 3) = 31
4x - 6x + 9 = 31
-2x + 9 = 31
-2x + 9 - 9 = 31 - 9
-2x = 22
-2x/-2 = 22/-2
x = -11
Then, x equals -11. By replacing -11 for x into Y = 2X - 3, we get:
Y = 2X - 3
Y = 2(-11) - 3
Y = -22 - 3
y = -25
Then, the solution is (-11, -25) x equals -11 and Y equals -25
Enter an equation in point-slope form for the line.(7,6) and (8,3) is on the line.
Answers
First, we will calculate the slope of the line
[tex]m=\frac{3-6}{8-7}[/tex][tex]m=\frac{3}{1}\rightarrow m=-3[/tex]Now let's calculate the y-axis crossing
[tex]b=y-mx[/tex][tex]b=6+3\cdot7[/tex][tex]b=6+21[/tex][tex]b=27[/tex]The equation would be: y = 3x - 15
[tex]b=y-mx[/tex][tex]b=3+3\cdot8[/tex][tex]b=27[/tex][tex]y=-3x+27[/tex]1Figure A and Figure B are scaled copies of each other.HO27220Figure AFigure B35What is the value of x?
Answers
To solve this, we will follow the steps below:
Since the two triangles are scaled copies of each
Answer:
Step-by-step explanation: 5-4+90=91