The distance travelled by John in 13 hours is 819 miles.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The total distance covered in 8 hours is 504 miles.
Then in one hour, distance covered is given as below,
⇒ Number of miles ÷ Number of hours
⇒ 504 ÷ 8 = 63
Then, the distance covered in 13 hours is given as,
⇒ Unit distance in 1 hour × Number of hours
⇒ 63 × 13 = 819
Hence, the miles travelled in 1 hour is given as 819 miles.
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Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm
A. yes
B. no
Answer:
yes
Step-by-step explanation:
In order for it to be a right triangle, it has to be [tex]a^2+b^2=c^2[/tex].
[tex]20^2+21^2[/tex] should equal [tex]29^2[/tex]
400+441 should equal 841
So yes, the lengths make a right triange.
Parallelogram JKLM is reflected across a horizontal line through its center and then translated down and to the left to produce parallelogram QTSR
K
110°
R
S
9 ft
70°
M 12 ft
L
T
m
What is true about the angles and side lengths of parallelogram QTSR?
Enter the correct answers in the boxes
Answer:
[tex]\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}[/tex]
Step-by-step explanation:
When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.
Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.
If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.
When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.
When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.
When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.
Hope this helped!
two years ago randi earned $18,400. last year she earned $19,700. suppose she earns $21,600 this year. how much would randi have to earn next year so that her four year average is $21,000
Randi earn $24,300 next year.
Here,
Given that;
Two years ago Randi earned $18,400. last year she earned $19,700.
And, she earns $21,600 this year.
The average of four year is $21,000
We have to find, the amount she earn in next year.
What is Average?
A number that is calculated by adding quantities together and dividing the total by the number of quantities.
Now,
Let she earn $ x in next year.
The average of four year is $21,000.
Hence, Average of money for four year is;
[tex]\frac{18,400+19,700+21,600+x}{4} = 21,000[/tex]
[tex]59,700 + x = 84,000[/tex]
[tex]x = 24,300[/tex]
So, She earn $24,300 in next year.
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Which property of addition is shown?
3 +41 + 5 + 6 = 3 + 5+ 41 + 61
Identity property
Associative property
Commutative property
Inverse property
Answer:
ASSOCIATIVE PROPERY
Step-by-step explanation:
Solve for x in simplest form 11=3/4(3x+12)
Answer: 8/9
Multiply 3/4 by 3x and 12, then subtract the number with out the variable on the right side from both sides.
i need help fast fast
Answer:
D. Mountains
Step-by-step explanation:
When two Continental plates crash the land piles upward to forms mountains and hills.
Answer:
Step-by-step explanation:
I D KK
I don't understand this
Answer: m<DEA = 95° also
Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal
What is the slope of a line that contains the following points (17,-12) and (17,8)
Answer:
no slope
Step-by-step explanation:
y2-y1/ x2-x1
8-(-12)/17-17 = 0
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line contains two points.
(17, -12) and (17, 8).
Consider,
(17, -12) = (a, b) and (17, 8) = (c, d)
The slope of the line.
Slope:
= (d - b) / (c - a)
= (8 - (-12)) / (17 - 17)
= 8 + 12 / 0
= 20 / 0
= undefined.
This means there is no slope for the line that contains (17, -12) and (17, 8).
The line is a vertical line intercepting at x = 17.
Thus,
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
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find the quote that for -6•(-8)
Answer:
0.75
Step-by-step explanation:
The two negatives cancel each other out and divide like normal. 6 divided by 8 equals 3/4 or 0.75.
5)Find the radius of the circle below!
4 cm
Answer:
2cm
Step-by-step explanation:
to get the radius u divide the diameter by 2
hope this is correct and helps
Step-by-step explanation:
Hey there!
Answer is 2cm.
Reason:
Diameter is given = 4 cm
Radius = d/2
= 4/2 = 2cm.
Hope it helps..
A hat contains six purple chips, five green chips, and three orange chips, A chip is selected and
the color is noted. Then replaced. A second chip is selected and its color is noted.
Find the probability of P (Green and Green)
Answer:
B
Step-by-step explanation:
B
Evaluate. Write your answer as a mixed number.
9 4/5 ÷ 3 1/2=
Answer:
2 4/5
Step-by-step explanation:
Answer:
It is 1 19/30. Hope that helped
There are twice as many flute players as there are trumpet players in the band. if there are n flute players, write an algebraic expression to find out how many trumpet players there are
Answer:
n/2 = # of trumpet players
Step-by-step explanation:
20.) A bird is perched in a tree 28 feet above the surface of the water. He spots a
fish and dives 5 feet into the water to catch it. How far did the bird travel?
Answer:
33 feet
Step-by-step explanation:
Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground) t minutes
after takeoff is modeled by
h(t) = -3t2 + 12t +96
Alicia wants to know when the drone will land on the ground.
1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the
equation
h(t) =
2) How many minutes after takeoff does the drone land on the ground?
minutes
Answer:
h(t) = -3(t-8)(t+4). and 8 minutes
Step-by-step explanation:
The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.
What is a quadratic equation?A quadratic equation is an equation that contains a variable with highest degree of 2.
Given, the height of the drone t minutes after take off is modeled by
h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)
Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)
Therefore, we can write the equation as:
t² - 4t - 32 = 0
⇒ t²- 8t + 4t - 32 = 0
⇒ t(t - 8) + 4(t - 8) = 0
⇒ (t + 4)(t - 8) = 0
Hence, (t + 4) = 0 and (t - 8) = 0
Therefore, t = -4, 8.
As 't' can't be negative, therefore, t = 8.
Therefore, after take off, the drone will land on the ground after 8 minutes.
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(e) If f(x+3) = f(x) + f(5) then prove that: f(2)= 0 and f(5) = -f(-1)
Answer:
See below.
Step-by-step explanation:
f(x + 3) = f(x) + f(5) (Given) so:
f(2 + 3) = f(2) + f(5)
and f(2) = f(2 + 3) - f(5)
= f(5) - f(5) = 0.
f(-1) = f(-1 +3) - f(5)
= f(2) - f(5)
= f(-3)
So - f(-1) = f(3)
Also:
f(5) = f(x + 3) - f(x)
= f(x + 3 - x)
= f(3).
But f(3) = -f(-1) ( shown above),
So f(5) = -f(-1).
2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28
Answer:
a) 53 is prime
Step-by-step explanation:
Answer:
C,D
Step-by-step explanation:
A Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself
In fig if x+y=w+z then prove that AOB is a line.
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
100000000x3,000,000,000,x650000x-200x100-100000000=....?
Answer:
Do you mean this 100000000* 300000000*650000*(-200)*100-100000000 if so the answer is -3.9E26
Step-by-step explanation:
Remove the parentheses from the (-200)
Multiply the numbers 100000000*300000000*650000*200*100
= -3.9E26-100000000
Subtract the numbers -3.9E26-100000000
= -3.9E26
Hope you enjoy this:) If you need me to explain it more I would love too:))
can someone do all the even numbers
To mail 10 letters costs $ 4.50 . How much would it cost for 12 letters? Assume the relationship is proportional.
Answer:
12 letters cost 6.30 dollars
Step-by-step explanation:
hope this helps
Answer:
$5.40 for 12 letters
Step-by-step explanation:
you need to find the cost for 1 unit then multiply that by 12, so you take the cost (4.50) and divide it by letters (10) so you get 0.45. So that is the cost of q letter, then you that that unit rate and multi[ly it by the number that you need to figure out (12) so .45x12=5.40
12 letters=$5.40
Which expression is equivalent to 2 - 35?
Choose 1 answer:
2 + (-35)
B
--35-2
2-(-35)
D
35 - 2
Answer:
2+(-35)
Minus and a plus make a minus
2-35
Answer:
2+(-35)
Step-by-step explanation:
2-35= -33
2+(-35)= -33
Determine if the expression 4x – 10x3 + 2x2 is a polynomial
or not.
Step-by-step explanation:
the correct answer is not a polynomial
what is the slope of ( 3,1 ) and ( 6,4 )
Answer:
The slope of the line would be 1
(4-1)/(6-3)= 1
(x²+14+49)m²=
what is the answer?
Lamar used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at Q(4, 2), R(–3, 2), and S(–3, 5). Use the absolute value of the coordinates to find the distances between points Q and R, and between points R and S.
Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units
Elijah needed to dig a row along a fence that was 5 feet long. He was able to dig all but 42 inches of the row before dark.
How many inches was he able to dig before dark?
Answer:
18 inches
Step-by-step explanation:
5x12=60
60-42=18
18 inches is the correct answer
PLEASE HELP MEH! I NEED HELP ASAP
Answer:
Planet D
Step-by-step explanation:
1.5*10^9 = 1,500,000,000
1.07*10^8 = 107,000,000
5.7*10^7 = 57,000,000
2.29*10^6 = 2,290,000
It has the least amount.
Answer:
Planet C
Step-by-step explanation:
1.5 x 10e9 = 1.5 billion
1.07 x 10e8 = 107 million
5.7 x 10e7 = 57 million
2.29 x 10e8 = 229 million
Which of these is an example of numerical data?
A Color of kitchen
B. Type of house
C. Distance from home
D. Name of street
Please hurry
Answer:
C
Step-by-step explanation:
Distance is the answer that includes numerical items!
Answer:
Daily temperature
Step-by-step explanation:
The Fairview Library is getting ready to move to a bigger building. So, the librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes, how many more boxes should they expect to use?
Given :
The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.
To Find :
How many more boxes should they expect to use.
Solution :
We know, 1 ton = 2000 pounds
So, 2 ton = 4000 pounds
Minimum number of boxes required for safe handling :
[tex]n=\dfrac{4000}{25}\\\\n=160[/tex]
So, total 160 boxes required.
Therefore, 160 - 50 = 110 many more boxes should they expect to use.
Hence, this is the required solution.
Answer:
110 more boxes
Step-by-step explanation:
