If Jim is running a race against his best friend Ryan and Jim runs at a rate of 18 miles in 3 hours while Ryan runs at a rate of 11 miles in 2 hours, then Jim can run 0.5 miles further compared to his friend Ryan.
If Jim runs at a speed of 18 miles in 3 hours, it can be represented as,
Speed = distance / time = 18 miles / 3 hours = 6 miles per hour
As Ryan runs at a rate of 11 miles in 2 hours, it can be given as,
Speed = distance / time = 11 miles / 2 hours = 5.5 miles per hour
To determine how much further Jim can run in an hour compared to his friend Ryan,
Distance ( Jim ) = speed x time = 6 x 1 = 6 miles
Distance ( Ryan) = speed x time = 5.5 x 1 = 5.5 miles
The distance that Jim can run further in an hour can be calculated by subtraction.
Distance ( Jim ) - Distance ( Ryan) = 6 - 5.5 = 0.5 miles
Thus, Jim can run 0.5 miles further in an hour compared to his friend Ryan.
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TRAVEL A car leaves Seattle traveling at a speed of 60 miles per hour. Two hours later, a second car leaves
Seattle traveling at a speed of 50 miles per hour. The cars' distances from Seattle at time t hours are shown in
the table.
CAR A B
Distance (miles) 60t 50(t-2)
After how much time t will the two cars be the same distance from Seattle?
O 5 hours
O 10 hours
O The cars will never be the same distance from Seattle.
O 12 hours
The correct option regarding when the two cars will have the same distance from Seattle is:
The cars will never be the same distance from Seattle.
When will the two cars be at the same distance from Seattle?The distances for each car are given according to the following function:
A(t) = 60t.B(t) = 50(t - 2).They will have the same distance when:
A(t) = B(t).
Hence:
A(t) = B(t)
60t = 50(t - 2)
60t = 50t - 100
10t = -100.
t = -10.
Time cannot assume negative values, hence the cars will never be the same distance from Seattle.
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12 hours
Step-by-step explanation:
Help Please
Every item in the Just a Dollar store is priced $1.00. When Jack opens the store, there is $125.00 in the cash register. When he counts the money in the cash register at the end of the day, the total is $935.00. If the sales tax rate is8 %, how many items were sold that day? ____ items we sold that day.
Based on the price of each item in the store and the total cash in the register at the end of the day, the number of items sold for the day was 750 items.
How many things were sold?The cash that the Just a Dollar store made for the day was:
= 935 - 125
= $810
The cost of the items sold, less the sales tax was:
= 810 / (1 + 8%)
= $750
If each item costs $1, then the number of items sold was:
= 750 / 1 per item
= 750 items
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find a point which satisfies the linear equation X + Y is equal to 8 measure on it is 3 times it services
Answer:
Step-by-step explanation:
the horizontal line is x and 8=x so the point has to be where 8 is in the horizontal line. Then y is 3 so the point is gonna be in the vertical line then you connect those two-points and you have your line.
How to place 7 2/11 on a number line
In a cumulative frequency distribution, the last class will always have a cumulative frequency equal to _____.
The last class will always have a cumulative frequency equal to the sum total of all observations in a cumulative frequency distribution.
The cumulative frequency can be used to find the exact number of observations that lie before or after a certain value in the data. The cumulative frequency is calculated from the frequency distribution table, which is constructed directly from the data.
The cumulative frequency is calculated by adding every data' s frequency from the frequency distribution table to the sum of its preceding values.
Thus, the last value will always be equal to the total of all observations, as all frequencies have already been added to the previous total.
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A container holds 15,000 milliliters (mL) of water. How many liters is this?
1,000 mL = 1 L
Answer:
Step-by-step explanation:
15L
15000 divided by 1000
Answer:
15 liters
Step-by-step explanation:
1000=1
15000=x..... (cross multiply)
15000=1000x...... (divide both sides by 1000)
=15
Express each fraction as a decimal to the nearest hundredth.
43/46
43/49= 0.93
To express each fraction into its decimal we need to bring 100 at the denominator.
Fraction = numerator\denominator
For example :
1> 4\5
= 4*20\ 5* 20
= 80\ 100
= 0.80
2> 1\4
= 1 *20\ 4 *20
= 20\ 100
= 0.20
3> 49/50
= 49*2/50*2
= 98/100
=0.98
There are some numbers where it is not possible to make the denominator 100
So by the process of division method, we can convert the fraction into decimal form
43/46
0.93
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I need to find out the quadrilateral of 78° k,L,N,M
Answer: ∠L = 102°
∠N = 78°
Step-by-step explanation:
Quadrilaterals can be classified into Parallelograms, Squares, Rectangles, and Rhombuses. Square, Rectangle, and Rhombus are also Parallelograms.
A quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel. AB ∥ DC and AD ∥ BC. So, ABCD is a parallelogram. A parallelogram having all sides equal, is called a rhombus.
Given data,
In □KLMN, side LM ∥ side KN, side KL ≅ side NM If ∠K = 78°
then find the measure of ∠L, and ∠N
side LM∥ side KN
Interior angles on the same side of the transversal are supplementary.
∠K + ∠L = 180°
78° + ∠L = 180°
∠L = 180° - 78°
∠L = 102°
Construction:
Draw LP ∥ MN
So, LM ∥ KN and LP ∥ MN
PLMN is a parallelogram
MN ≅ LP
Now MN = LP and MN = KL
LP = KL
∠LKP = ∠LPK = 78°
LP ∥ MN so,
∠MNP = ∠LPK = 78° (corresponding angles are equal)
∠L = 102°
∠N = 78°
Therefore,
∠L = 102°
∠N = 78°.
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Please help I will give you 30 points
Step-by-step explanation:
520÷13=40..............
Answer:
The answer is C 40
Step-by-step explanation:
520/ 13 = 40
:) have a nice day
12 : 21 : 30 simplified to its lowest terms is
Answer:
4 : 7 : 10
Step-by-step explanation:
as 12, 21, 30 are all divisible by 3
hope this helps
Convert the rate of 10 yard per 5 minute to feet per hour
Answer:120 yards
Step-by-step explanation:
10/5=2 2*60= 120 yards
Three personal watercraft vehicles launch from the same dock. The first vehicle leaves the dock traveling due northeast, while the second vehicle travels due northwest. Meanwhile, the third vehicle leaves the dock traveling due north.
The first and second vehicles stop about 300 yards from the dock, while the third stops about 212 yards from the dock.
(d) Write a coordinate proof to prove that the positions of all three watercrafts are approximately collinear and that the third watercraft is at the midpoint between the other two.
The line created by 1st and 2nd is making the same angle with 3rd so all three will be colinear and 3rd is the midpoint of 1st and 2nd.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
Given the condition making a graph as shown below,
Now in ΔAOC and ΔBOC, the angle x is the same.
Distance AO = BO and CO is common side.
So both triangles will be congruent.
Since all corresponding side of two congruent triangles is the same.
So,
AC = BC hence C will be the midpoint of A and B.
Hence "The line created by 1st and 2nd is making the same angle with 3rd so all three will be colinear and 3rd is the midpoint of 1st and 2nd".
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Question is below in the image. Please explain. Thanks
Answer:
E
Step-by-step explanation:
[tex]\lim_{x \to 0} f(1-x^2)=\lim_{x \to 1} f(x)[/tex]
which does not exist.
Two lines intersect at point P. If the measures of a pair of vertical angles are (2x-7)° and, (x+3)° determine x and the measures of the other two angles?
Answer:
x = 10
One angle is 13 and the other angle is 13
Step-by-step explanation:
Vertical angles have the same measurement, so set the angles equal to each other and solve for x.
2x - 7 = x + 3 Subtract x from both sides of the equation
x - 7 = 3 Add 7 to both sides of the equation
x = 10 Now use this to solve for both angles
2(10) - 7 =
20 - 7 =
13
x + 3
10 + 3 =
13
Suppose a trolley stops at a certain intersection every 14min . The first trolley of the day gets to the stop at 6: 43 A.M. How long do you have to wait for a trolley if you get to the stop at 8: 15 A.M.? At 3: 20 P.M.?
You will wait for 11 minutes
Find the number of minutes between 5:00am and 8:37am
60 mins in an hour.
8-5=3 hours
60x3=180+37=217 minutes
Divide 217 by 12 to see how many bus stops have already been made
217/12=18
18*12=216
217-216=1 minute
12-1=11 minutes
Therefore you will have to wait 11 minutes.
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I need this answered please
Answer:
2m - 59 = Matt's savings
Simplify by combining like terms. 5 v-3(2-v)
The simplification by combining like terms of 5v-3(2 -v) is 8v - 6.
According to the given question.
We have an expression5v - 3(2 - v).
As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same. when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.
Since, we have to combine the like terms of the given expression
5v - 3(2 - v).
Here 5v, and 3v both are the like terms.
So, we add coeffcients of v to simplify the given expression.
Therefore, the simplification of 5v -3 (2 -v ) is given by
5v - 3(2 - v)
= 5v - 6 + 3v
= 8v - 6
Hence, the simplification by combining like terms of 5v - 3(2 - v) is 8v - 6.
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Write the specified type of proof. two-column proof
Given: ®C
Prove: ΔKML ΔJMH
Answer:
hi
Step-by-step explanation:
Andrea is given AABC and told that a² + b² = c². She draws right triangle RTS with
legs measuring a and b and hypotenuse measuring x. Which best describes what
Andrea should do in order to prove th at ABC is a right triangle?
Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C may be a right angled triangle since it's the angle opposite to the hypotenuse c and so, ΔABC could be a trilateral.
According to the statement
We have to prove that the ABC is a right triangle.
So, For this purpose, we know that the
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.
From the given information:
Andrea should show that c = 2, so: ∡ABC = ∡RTS and ∡C = ∡S. Hence, ∡C could be a right angled triangle, hence ΔABC could be a trilateral.
And
In this question, we are told that the given sides of the Triangle are a, b and c. Now, Andrea is in a position to draw the 2 sides of the correct triangle with sides = a and b and therefore the third, hypotenuse capable 2. Since the length of the hypotenuse = 2, then we have;
2² = a² + b²
However, we are told that c² = a² + b²
Therefore, c = 2
Hence, Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C may be a right angled triangle since it's the angle opposite to the hypotenuse c and so, ΔABC could be a trilateral.
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The repeating decimal 0.7333... is equal to the fraction k/45 what is the value of k
Answer:
K=45×0.7333
K=32.9985
Use the graph to determine the solution of the
inequality |x+1| + 2 > 5.
O (-∞,-4) (2,00)
(-4, 2)
O (0,3)
O
(-∞,0) (3,0)
DONE✔
(-∞,-4) U (2, ∞)
====================================================
Work Shown:
|x+1| + 2 > 5
|x+1| > 5 - 2
|x+1| > 3
x+1 > 3 or x+1 < -3
x > 3-1 or x < -3-1
x > 2 or x < -4
x < -4 or x > 2
The portion x < -4 translates to the interval notation of (-∞,-4)
It might be helpful to think of x < -4 as -∞ < x < -4
The x > 2 is the same as 2 < x and the same as 2 < x < ∞. This turns into the interval notation of (2, ∞)
Therefore, we end up with the solution set of (-∞,-4) U (2, ∞)
The U symbol is the union operator to glue together the two intervals.
which net represents this rectangular prism
With flu season coming up, josh decides to make get-well-soon kits. he has 12 cans of chicken soup and 18 boxes of tissue, which he wants to use to make identical kits with no materials left over. what is the greatest number of get-well-soon kits josh can make?
Using greatest common factor (GCF), Josh can make 6 identical get-well-soon kits.
The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.
If Josh has to distribute 12 cans of chicken soup and 18 boxes of tissue to make identical get-well-soon kits with no material left over, solve the amount of kits he could make by solving the GCF of 12 and 18.
List down the factors of each number.
12 : 1, 2, 3, 4, 6, 12
18 : 1, 2, 3, 6, 9, 18
Common factors : 1, 2, 3, 6
Greatest Common Factor : 6
Hence, without any left over material, Josh can make 6 identical kits.
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How do you work this problem out?
7 5/24 + 10 1/8=
Answer:
17 1/
Step-by-step explanation:
first you have to find a common denominator, so you multiply 1/8 by 3 and get 3/24. then you add the two numbers getting 17 8/24 but you have to simplify it so it's 17 1/
Rebecca needs 10 yards of fabric to make a quilt. She has one piece of fabric that is
2 yards and another piece of fabric that is 41 yards. How many more yards of
fabric does Rebecca need to make the quilt?
F
4/ yd
G
31 Y
33 yd
J 62 yd
H
yd
33 YARDS is the total length of fabric that Rebecca needs.
What exactly do you mean by YARDS?
a small, frequently walled, paved, and open to the sky area next to a structure: court; b: a building's or collection of buildings' grounds. a house's immediate surroundings, which are often grassy grounds.
A man's belt or girdle, as it was known, was originally one yard long. King Henry I of England established the yard as the distance between his nose and the thumb of his extended arm in the 12th century. It is 36 inches right now.
We must determine the length of fabric Rebecca needs to finish her quilt based on the provided facts.
The total length of fabric required is 10 yards
One piece of fabric is long. 2yards
Another piece of fabric is long 41
Let be the missing length. x
2+41+x=10
x=-33
the length of fabric that Rebecca need is 33.
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Which function has the following domain and range?
Domain: {-12, - 7, 0, 4, 12}
Range: {0, 1, 2}
O {(-12, 12), (0, 2)}
O {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}
O {(-12, 0), ( – 7, 1), (0, 2), ( – 4, 5), (3, -1)}
O {(0,4), (2, 12), (1, -7), (0, - 12), (1, 0)}
Answer:
im think the answer is the first?
Answer: B. {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}
Step-by-step explanation:
I got it right on the test
PLEASEEEEE HELPPPPPP
NEED NOW!!! WILL GIVE BRAINLIEST!!! 17-19!!!
For the given systems of equations, we have that:
17. The solution is: x = 3, y = 4.
18. The company can afford to promote 2 engineers to level II.
19. The substitution method was used, as writing x as a function of y in the given equation was quite straight forward, as was replacing into the second equation to find y.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For item 17, the system is:
3x + 2y = 17.4x - 2y = 4.Adding the equations, we can eliminate y and solve for x, hence:
7x = 21
x = 3.
Then the solution for y is given as follows:
3x + 2y = 17
3(3) + 2y = 17
2y = 8
y = 4.
For item 18, the variables are given as follows:
Variable x: number of level I engineers.Variable y: number of level II engineers.The company has 8 engineers, hence:
x + y = 8 -> x = 8 - y.
The company can afford to pay a total of $472,000 to the engineers, hence, considering the salaries(in thousands of dollars) of each:
56x + 68y = 472.
We want to solve for y, hence, since x = 8 - y:
56x + 68y = 472.
56(8 - y) + 68y = 472.
12y = 24.
y = 2.
The company can afford to promote 2 engineers to level II.
The substitution method was used, as writing x as a function of y in the given equation was quite straight forward, as was replacing into the second equation to find y.
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Answer:
This is my other account. I just needed 1+ answers togive brainliest for the other person. dont mind this
Step-by-step explanation:
Write a two-column proof for each case of Theorem 10.6 Case 2
Given: P lies inside
Prove: m< ABC = 1/2 m AC
The length of an inscribed angle is half the length of the central angle. The circumscribed angle's measure is 180 degrees less the central angle's measure.
What is the inscribed angle and the circumscribed angle?In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It is also the angle formed by two given points on a circle at a given point on the circle.
The length of an inscribed angle is half the length of the central angle. The circumscribed angle's measure is 180 degrees less the central angle's measure.
m ∠ABC = m ∠ABD + m ∠DBC (∠ Addition Postulate)
m ∠ABD = 1/2 m(arc AD)
m ∠DBC = 1/2 m(arc DC)
(The measure of an inscribed ∠ whose side is diameter is half the measure of the intercepted arc (Case 1)).
m ∠ABC = 1/2 m(arc AD) + 1/2 m(arc DC) (Substitution)
m ∠ABC = 1/2 [m(arc AD) + m(arc DC)] (Factor)
m(arc AD) + m(arc DC) = m(arc AC) (Arc Addition Postulate)
m ∠ABC = 1/2 m(arc AC) (Substitution)
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Points!!!!!!!!!!!!!!!!
