A runner must run for 50 minutes to cover the distance of 10 kilometers.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour.
7.5 miles = 12 kilometers
Speed = 12 kilometers/hours
1 hour = 60 minutes
Speed = 12 / 60 kilometers per minute
Speed = 0.2 kilometers per minute
Time = distance/speed
Time = 10 / 0.2
Time = 50 minutes
Thus, A runner must run for 50 minutes to cover the distance of 10 kilometers.
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Which graph represents the solution to the inequality?
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?
A) AB ≅ CD
B) AC ≅ BD
C) AB ⊥ BD
D) CD ⊥ BD
The additional piece of information is needed to determine that ABDC is a parallelogram is,
⇒ AB ≅ CD
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
In quadrilateral ABDC,
⇒ AB ∥ CD.
Now,
We know that;
When opposite side of a quadrilateral are parallel and equal to each other, then the quadrilateral are called a parallelogram.
Here, In quadrilateral ABDC,
⇒ AB ∥ CD.
Hence, The additional piece of information is needed to determine that ABDC is a parallelogram is,
⇒ AB ≅ CD
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Eliana's calculator displays a number as 5.378 E9.
What is this number in standard form?
Enter your answer in the box.
Answer:
5,378,000,000
Step-by-step explanation:
5.378E9
5.378 x 10^(9)
5,378,000,000
Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006, approximately what was the total employment in 2006? a. 214,000 b. 188,000 c. 195,000 d. 189,000
Answer:
189,000
Step-by-step explanation:
what is
7x-4=-2x+1+9x-5
The equation 7x-4=-2x+1+9x-5 has infinitely many solutions
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 7x-4=-2x+1+9x-5
We have to take the variable terms on one side and constant on other side
In the given equation x is the variable and plus comma minus are all operators.
We need to solve for x.
7x+2x-9x=1-5+4
9x-9x=0
0=0
So the equation has infinitely many solutions
Hence, the equation 7x-4=-2x+1+9x-5 has infinitely many solutions
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An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and another rod into the shape of an equilateral triangle. If each side of the triangle is 2 inches longer than each side of the square, how long, in inches, is each rod?
Answer:
24 inches
Step-by-step explanation:
We are given that an artist creating a sculpture using bendable metal rods of equal length.
One rod is in square shape and second rod is in equilateral triangle shape.
We have to find the length of each rod
Let side of square= x inches
Length of each side of equilateral triangle =x+2 inches
We know that perimeter of square=[tex]4\times side[/tex]
Perimeter of equilateral triangle=[tex]3\times side[/tex]
Using the above formula
Then , Length of square shaped rod=perimeter of square =[tex]4x[/tex]
Perimeter of equilateral triangle =Length of equilateral shaped rod=[tex]3(x+2)[/tex]
Length of square shaped rod=Length of equilateral triangle shaped rod
[tex]4x=3(x+2)[/tex]
[tex]4x=3x+6[/tex]
[tex]4x-3x=6[/tex]
[tex]x=6[/tex]
Length of each side of square =6 inches
Length of square shaped rod=[tex]4\times 6=24 inches[/tex]
Length of each side of equilateral side=6+2=8 inches
Length of equilateral shaped rod=[tex]8\times 3=24 inches[/tex]
Write a two-column proof given 2x + 6 96 prove: x = 46
A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that ∠ADC is a right angle and that m∠BDC is 32° greater than m∠ADB. Write and solve an equation to find m∠BDC and m∠ADB
What is the remainder when 14,952 is divided by 41
Answer:
the answer is 28 A
Step-by-step explanation:
please help !!!!!!!!!
how to describe and compare a box plot.
A student writes the difference between 15 and the product of 5 and y to describe the expression 5y - 15. Explain the error
What common angle do CDG AND FCE share?
FBG is congruent to DBE
CEF is congruent to CGD
CDG is congruent to CFE
GCE is congruent to ECG
Answer:
The correct option is 4.
Step-by-step explanation:
From the given figure it is noticed that the triangle CDG and triangle FCE have a common vertex C. So both triangle are sharing same angle at vertex C.
In triangle CDG and triangle FCE
[tex]\angle GCD\cong \angle FCE[/tex]
If the length of two adjacent sides increases, then the inclined angle remains the same.
If the side CD increased to E and side CF increased to G, then
[tex]\angle GCE\cong \angle ECG[/tex]
Therefore option 4 is correct.
The are of a rectangle is 117 square centimeters. The width of the rectangle is 9 centimeters. What is the length of the rectangle?
Number 8. Solve the equation for variable d. Correct answer will get brainliest.
if p - 4 = 2, find the value of 5p - 20
A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find:
Answer:
s=18
Step-by-step explanation:
First of all, the formula is s=60-12t. thanks to the person who answered this question first (teehee)
S=distance and t=duration.
We also know that the distance is 60 km, the bicyclists's speed is 12 km/h, and the duration for this example is 3.5 hours.
So, using the formula, we substitute all the variables and s=18.
Thanks!
Also, for how the formula is what it is, look at the previous answer cuz yea.
Maybe this helped?
hehe- EG
Analyze the statements below and complete the instructions that follow. p: A point has a y-coordinate of zero. q: A point lies on the x-axis. Determine the truth values of the statements
The perimeter of a triangle is 465 cm. The length of the sides are consecutive integers. Find the length of the smallest side.
Find the value of k so that the equation has the solution set {-3}
3(2x-1) = x(2-k)
Can anyone solve this problem???
One person can complete a typing project in 6 hours, and another can complete the same project in 8 hours. How long will it take the two people working together to complete the project???
Time taken to complete the project if two people worked together is required.
It would taken around 3.4 hours to complete the project if both the people worked together
Time taken to complete the work by first person is 6 hours
Time taken to complete the work by second person is 8 hours
The work equation will be be
[tex]\dfrac{1}{6}+\dfrac{1}{8}=\dfrac{1}{x}\\\Rightarrow \dfrac{4+3}{24}=\dfrac{1}{x}\\\Rightarrow x=\dfrac{24}{7}\approx 3.4\ \text{hours}[/tex]
So, it would taken around 3.4 hours to complete the project if both the people worked together.
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Find the value of x for which p is parallel to q, if m∠1 = (4x) and m∠3 = 100. The diagram is not to scale.
a. 96
b. 25
c. 104
d. 100
Determine the value of y in the equation: -5y-9=-(y-1) (show all work)
The value of y in the equation is -2.5.
Explanation:To determine the value of y in the equation -5y-9=-(y-1), we can start by distributing the negative sign to both terms within the parentheses. This gives us -5y-9=-y+1. Next, we can combine like terms by adding y to both sides of the equation. This simplifies the equation to -4y-9=1. To isolate y, we can subtract 9 from both sides of the equation, resulting in -4y=10. Finally, we divide both sides of the equation by -4 to find the value of y, which is -2.5.
what is the simplified form of 3abc/abc, when abc does not equal 0? explain using the properties of real numbers
Twice a number is 24 less than 4 times the number find the number
The question asks for a number which when multiplied by 2 gives a result that is 24 less than the result of the number when multiplied by 4. The solution to this problem is the number 12.
Explanation:The student's question asks about algebraic expression and solving for a value. This could be written as an equation:
2x = 4x - 24
First, let's simplify this equation by subtracting 2x from both sides, this gives you:
2x = 24
Then, solve the equation by dividing both sides by 2, and we find that the number is:
x = 12
So, the number that the student is searching for is 12. Twice this number is 24, which is indeed 24 less than 4 times the number (48).
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Write an equation of the line that has a slope of 6 and contains (1,1) in point-slope form.
The height of a triangle is 3cm less than the length of its base and is area is 27m,find the height
12 25 10 38 12 19 8 12 17 41 7 22 10 19 12 16 5 14 find the mean, median, and mode of these weights
Solve for p: 3p-2(p-4) =7p+6
Plz help asap
Thanks
what are the roots to this quadratic equation?
Answer:
[tex]\frac34[/tex] and [tex]-\frac34[/tex]
Step-by-step explanation:
Hello!
We have to solve for x to find the roots of the quadratic.
Solve for x[tex]16x^2 = 9[/tex][tex]x^2 = \frac{9}{16}[/tex][tex]\sqrt{x^2} = \sqrt{\frac{9}{16}}[/tex][tex]x = \pm\frac{\sqrt9}{\sqrt{16}}[/tex][tex]x = \pm\frac34[/tex]The roots of the quadratic are [tex]\frac34[/tex] and [tex]-\frac34[/tex].
The roots of the quadratic is when the value of y is 0, or when the graph intersects the x-axis.