A car is traveling at a speed of 70 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 5 hours? In your
computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers
Answers
Answer:
112.654
Step-by-step explanation:
112.654 x (5x60)=?
Related Questions
rx - sx + y = b solve for y
Answers
Answer:
y = b-rx+sx
Step-by-step explanation:
rx - sx + y = b
Subtract rx from each side
rx-rx - sx + y = b-rx
-sx +y = b-rx
Add sx to each side
sx - sx + y = b-rx+sx
y = b-rx+sx
Dilate the point B(-4,5) by a scale factor of 3 with the center at the origin.
Identify the coordinates of the pre-image.
B(-4,5)
Identify the scale factor.
Scale factor: n = 3
Multiply the scale factor by each coordinate
the pre-image to find the coordinates of the image.
B'(3(-4), 3(5))
The image point B' has coordinates B ( , )
Answers
Step: (3×-4) =-12
And (3×5)= 15
Answer:(-12,15)
Step-by-step explanation:
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how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answers
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answers
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
The lid of a box is 43 cm² an area the volume of the box is 420 cm3 what is the height of the box?
Answers
Answer: 9.77 cm
Step-by-step explanation:
The volume of the box is length x width x height (V = l*w*h). The area of the lid of the box is the length x width (A = l*w). So, to find the height, you can change the equation to volume / (length x width) = height (V/(l*w) = h). Divide the volume by the area (420/43), to get the answer of 9.77 cm.
Please help as soon as possible 50 points
Answers
Answer:
the answer is d. 4x²+x-6
Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
So, multiply each of their numerators by the denominator they need to be equivalent.
This would look like this:
3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)
x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)
3x 3x(x) x-2 (x-2)(x+3)
----- ---> ----- and -------- ---> ---------
x+3 x(x+3) x x(x+3)
now that both fractions have the same denominator, we can add their numerators.
3x² + x²+x-6 = 4x²+x -6
This should now look like this:
4x²+x -6
-------------
x(x+3)
The spring concert at a certain high school sold 155 tickets. Students were charged $4 each and adults $8 each. The income from the sale of tickets was $980. How many students and how many adults bought tickets? Use algebra to solve this problem.
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Answer:
Step-by-step explanation: 85 students and 80 adults
please help me with this
Answers
Answer:
F
Step-by-step explanation:
64x³ = -1
x³ = -1/64
x = ∛-1/∛64
x = -1/4
Answer:
x = - \(\frac{1}{4}\)
Step-by-step explanation:
64x³+1=0
Add 1 to both sides:
64x³=-1
Divide both sides by 64:
x³=-\(\frac{1}{64}\)
Find cubed root of both sides:
x=-\(\sqrt[3]{\frac{1}{64}}\)
Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :
x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)
Evaluate:
x = - \(\frac{1}{4}\)
100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement
Answers
Answer:
True, False, False-------------------------------------------
Let's simplify left sides of each statement and compare with right sides:
\(3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True\)\(2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False\)\(e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False\)Ella conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 1 hour. What does this range say about the data?
All the students surveyed spend exactly 1 hour surfing the Internet.
All the students surveyed spend an average of 1 hour surfing the Internet.
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.
The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.
Answers
The statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.
What is range?It is defined as the difference between the maximum value in the data set to the minimum value in the data set.
As we know, the difference between the greatest and lowest values, called the range.
According to this response, the range is 1 hour, which is the difference between the most and least amount of time spent surfing the Internet. This is based on the term “Range.”
Thus, the statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.
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Answer:
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour!
Step-by-step explanation:
A fancy restaurant is running a special on a three-course dinner for $30. Sales tax is 5%. Is $40 sufficient to cover the bill with tax and a 20% tip on the amount before tax?
Is $40 sufficient? (Yes/No)
Tax Amount: $
Tip Amount: $
Total cost of meal with tax and tip: $
Answers
Answer:
1. yes
2. $31.5
3. $6
4. 45.36
I had problems with this one too hope this helps
A friend lends you $510, which you agree to repay with 2% interest. How much will you have to repay?
Answers
Answer:
$520.20
Step-by-step explanation:
Explain with steps please and thank you! :)
Answers
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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Ivan invests $5,000 into an account with a 3.5% interest that is compounded semi-annually.
How much money will he have in this account if he keeps it for 15 years?
Answers
9514 1404 393
Answer:
$8414
Step-by-step explanation:
The compound interest formula is useful for this.
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years. A is the ending balance.
A = $5000(1 +0.035/2)^(2·15) = $5000·1.0175^30 ≈ $8414.00
Ivan will have $8414 in his account after 15 years.
a clock chimes once at 1, twice at 2
Answers
Answer:
3 times at 3
Step-by-step explanation:
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Answers
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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Could you help my math homework? ;-;
Please
Answers
Answer:
1 when -2<x<2
-1 when |x|>2
Step-by-step explanation:
Hope it helps
Solve the following system of equations a2+b2 ; 3a2 -2ab-b2
Answers
The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).
The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:
\(a^2 + b^2 = 0\)
\(a^2 + b^2 = 0\)
\(a^2 = -b^2\)
\(a = \pm\sqrt(-b^2)\)
We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:
\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)
\(3b^2 - 2b^2 - b^2 = 0\)
0 = 0
Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)
However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).
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Johnny is 5 years younger than twice Bobby's age. If the sum of thier ages is over 66 years.
What is the Johnny's minimum age?
Answers
The minimum age of Johnny is 21 as calculated by linear inequality.
Let Johnny 's age be x.
hence bobby's age = (x+5)/2
Now the sum of their ages is over 66 years.
So we will set an inequality to find the minimum age of Johnny.
x + (x+5)/2 > 66
or, 2x + x + 5 > 66
or, 3x > 61
or, x > 20 1/3
Therefore age cannot be fraction hence the minimum age of Johnny is 21 years.
In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On that number line, size comparisons between two numbers are typically done. Different notations can be used to represent various kinds of inequalities, including:
A is smaller than b, as shown by the symbol a < b.
When the expression a > b is employed, it means that a is greater than b.
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Using the integers −9 to 9 at most one time each, place a digit in each box ( ___ , ____) and. ( ___ , ____) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3)
Answers
Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).
To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).
In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:
(x₁ + x₂)/2 = 1
(y₁ + y₂)/2 = 3
We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:
(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2
(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6
Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:
x₁ + (2-x₁) = 2 => x₁ = 1
y₁ + (6-y₁) = 6 => y₁ = 3
So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.
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WHT IS 2/3 TIMES 4/5
Answers
This is multiplying fractions so were do not need to get the same common denominator instead we can multiply.
We multiple 2 and 4 that equals 8
Then we multiple the denominator 3 and 5 that gives us 15
Now we put the numerator at top and the denominator at the bottom.
Now our answer is 8/15.
In a box-and-whisker plot, the "box" portion contains 50% of the data.
A. True
B. False
Answers
Answer: True
Step by step explanation
What is the value of z?
Enter your answer in the box
Answers
Answer:
23 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle = 180
z + 62 + 95 = 180
z = 23 degrees
write an equation of the line that passes through 4,-2 and is parallel to y=-4x+1
Answers
Answer:
y=-4x+14
Step-by-step explanation:
A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)
type the inequality from its graph
Answers
Answer:
x>_-1
Step-by-step explanation:
x is such that x is greater or equal to -1
Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
Which of the following numbers is one fifth of a given number if one fourth of that same number is 20
Answers
Answer:100
Step-by-step explanation:
(03.06 MC) What expression represents the value of y?
Answers
Answer:
\( y = \sqrt{wz} \)
Step-by-step explanation:
The figure given shows the altitude (y) of a right triangle which is perpendicular to the hypotenuse (CA) of the triangle. The hypotenuse is divided by the altitude into two segments, w and z.
According to right triangle altitude theorem the relationship between y, w, and z is represented as follows:
\( y = \sqrt{wz} \)
This expression represents the value of the altitude, y.
Answer:
y = wz with that check mark thingy over it
Step-by-step explanation:
i got the test
I need help i keep getting this wrong
Answers
Answer:
it is quite difficult
Step-by-step explanation:
hope you understand
Answer:
As shown in the figure.
Step-by-step explanation:
At the bottom is the answer.
factories
x²+6x+5-4y-y²
Answers
Step-by-step explanation:
−5y)(20y−23x)
x(6x−5y)−4(6x−5y)
2
=(6x−5y)(x−4(6x−5y))
=(6x−5y)(x−24x+20y)
=(6x−5y)(20y−23x)