The total distance covered is 6,000 m.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object had also covered regardless of its starting as well as ending point.
The magnitude as well as size of displacement between two positions is defined as distance. It is important to note that the distance between two points isn't the same as the distance traveled among them. The total length of a path traveled among two points is referred to as the distance traveled. Travel distance isn't a vector.Now, as per the question;
The distance around track is 400 m.
14 more laps has been covered along with the initial one.
Thus the total distance will be;
Total distance = 400 + 400×14
= 400 + 5,600
Total distance = 6,000
Therefore, the total distance covered is 6,000 m.
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Work out the area of the rectangle
Answer:
11.2 or 11 1/5
Step-by-step explanation:
multiply it ez
Answer: Use a=wl, 13.3
Step-by-step explanation:
a=wl
4.75*2.8=13.
I need help with this asap, I don’t know how to solve it
I just think this way if it is wrong sry but at least I try
5x + 3y = 26
6x+ 7y=21
Answer:
x = -1
Step-by-step explanation:
5x + 3y = 26
- (6x + 7y = 21)
_________
-x - 4x = 5
-5x = 5
x = -1
What's a verbal expression
N (-5,2) Q (1,-5)
What is the length of QN
The length between the two points is 9.2 units.
Given points are:
Q(1,₋5)
P(₋5,2)
Let the two points be denoted as
Q(1,₋5) as (x₁,y₁)
P(₋5,2) as (x₂,y₂)
Distance between two points is calculated as:
d = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²
d = √(₋5 ₋ 1)² ₊ (2 ₋ (₋5))²
d = √(₋6)² ₊ (7)²
d = √36 ₊ 49
d = √85
d = 9.2
Hence the length of QN is 9.2 units.
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2/14 in simplist form
Answer: 1/7 or 0.142857
Step-by-step explanation:
Answer:
1/7 :)
Step-by-step explanation:
what is the monthly payment for a 12,300 4 year loan with an APR of 5%
Answer:
10,877
Step-by-step explanation:
Greg burned 200 calories exercising, and then he drank a 200-calorie protein shake. which expression uses an additive inverse and represents his net calorie intake?
The expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.
What is additive inverse?In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.
Now it is given that,
Calories burned by Greg = -200
Calorie taken from protien shake = + 200
Thus, Net calorie intake = Calorie taken + Calories burned
⇒ Net calorie intake = 200 + (-200) = 0
Thus, the expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.
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Question 1 (10 points)
Berry Ice charges $6.25 a cup and $0.60 for each topping (x) you add. Layla wants a cup with 3 toppings.
Which expression best represents the situation, and how much will the cup cost Layla?
Answer: Total cost for her would be $8.05
Step-by-step explanation:
Given:
Berry Ice charges $6.25 a cup
$0.60 for each topping (x) you add
since she wants a cup with 3 toppings.
then
total cost = 6.25 (cost of 1 cup) + 0.60*3 ($0.60 for each topping then for 3 topping 3*cost of 1 topping)
=$8.05
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Define the concept of an angle and show how it should be indicated in Math (notation). Mention at least two ways.
An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.
Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”
where the vertex of the angle is at the point B as it is in the middle.
Angles can also be of different types like:
An Acute Angle which means an angle is less than 90 degrees.
A Right Angle which means an angle which is exactly 90 degrees.
An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.
A Straight Angle which is an angle that is exactly 180 degrees.
And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.
Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
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Select all pairs of numbers that have a least common multiple of 30.
Answer:
5 and 6, 3 and 10
Step-by-step explanation:
that's all I can think of
s = gh−5gc ^3 solve for g.
a²-7a²b² + b² factor
tommy do this instead then
Answer: (2) 1010025
Step-by-step explanation:
Let's find the sum of 1+3+5+7+...+2007+2009
Let's use the formulas for an arithmetic progression:
[tex]a_1=1\ \ \ a+2=3\\d=a_2-a_1\\d=3-1\\d=2[/tex]
[tex]a_1 =1\ \ \ \ a_n=2009\\a_n=a_1+(n-1)d\\\Rightarrow\ 2009=1+(n-1)2\\\Rightarrow \ 2009=1+2n-2\\\Rightarrow\ 2009=-1+2n\\\Rightarrow\ 2010=2n\\[/tex]
Divide both parts of the equation by 2:
[tex]1005=n[/tex]
Hence,
[tex]\displaystyle\\S=\frac{a_1+a_n}{2} n\\\\S=\frac{1+2009}{2}1005\\\\S=\frac{2010}{2} 1005\\\\S=1005*1005\\\\S=1010025[/tex]
Does (9, 7) make the equation y = x + 2 true?
Answer:
no
Step-by-step explanation:
y = 9 + 2 is 11 not 7
In which quadrant does the point (13, 18) lie?
A. Quadrant III
B . Quadrant IV
C. Quadrant I
D. Quadrant II
Answer:
quadrant I
Step-by-step explanation:
because both numbers are positive and quadrant I is the only one that has positive numbers on the y and x axis.
Answer:
C. Quadrant 1
Step-by-step explanation:
if both X and Y are positive, then the point lies in the Quadrant I.
lauren and three of her friends are going to magic springs. the total trip: gas, tickets, and food cost $125.76. how much will each person pay for their fun trip
Answer:
$31.44
Step-by-step explanation:
$125.76 ÷ 4 = $31.44
Lauren $31.44
Friend 1 $31.44
Friend 2 $31.44
Friend 3 $31.44
+ ________
$125.76
what is the answer of 3x + 4 = 2 x - 1
Answer: x = -5
Step-by-step explanation:
3x + 4 = 2x - 1
3x = 2x -5
x = -5
Find an equation for the perpendicular bisector of the line segment whose endpoints are (7,-1) and (-9,3).
Answer: Determine the mid-point.
Determine the slope between the two points.
The slope of perpendicular is negative reciprocal
Use slope and mid-point is point slope form.
Step-by-step explanation:
what fractions are equivalent to 4.05 with a bar notation over the 0 and 5
Answer:
Part 1) The fractions in the list are not equal to the decimal number indicated
Part 2) The fractions 401/99 and 802/198 are equal to the decimal number indicated.
Part 1)
we have the decimal number
4.05 -----> is a terminating decimal ( t's a decimal with a finite number of digits)
Convert to fraction number
Multiply and divide by 100
Simplify
Divide by 5 both numerator and denominator
therefore
The fractions in the list are not equal to the decimal number indicated.
Part 2) we have
4.050505... ------> is a repeating decimal (is a decimal that has a digit, or a block of digits, that repeat without ever ending)
Let
x=4.050505...
we have that
Multiply by 2 both numerator and denominator
therefore
The fractions 401/99 and 802/198 are equal to the decimal number indicated.
Step-by-step explanation:
Solve for X. Show work
The value of x in the figure is 5
How to solve for x?From the figure, we have the following parameters are:
NM = 9
ML = 2x - 7
NL = x + 7
This means that
NL = NM + ML
So, we have:
x + 7 = 9 + 2x - 7
Collect the like terns
x - 2x = 9 - 7 - 7
Evaluate
-x = -5
This gives
x = 5
Hence, the value of x in the figure is 5
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Cynthia receives a gift of r7, 500 she decides to invest it for 3years, she is offered two saving option:option a:8% interest p.a simple interest
The simple interest for R 7,500 is R 1, 800, and she will get it at 3 years with interest of 8%.
Simple interest:
Simple interest means the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
The formula used to calculate the simple interest is
SI = P × R × T
P = The principal is the amount that initially borrowed from the bank or invested.
R = Rate is the rate of interest at which the principal amount is given to someone for a certain time.
T= Time is the duration for which the principal amount is given to someone.
Given,
Cynthia receives a gift of r 7, 500 she decides to invest it for 3 years, she is offered two saving at 8% interest.
Here we need to find the simple interest.
We know that,
P = 7, 500
R = 8/100 = 0.08
T = 3
So, the simple interest is,
SI = 7,500 x 0.08 x 3
SI = 1800
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A standard ream of paper plus another half ream of paper contains 750 sheets of paper
The number of the sheets in a ream of paper is a 500 sheets.
According to the statement
We have to find that the number pf paper sheets in a one ream.
So, For this purpose, we know that the
The standard form of a number is a way of writing the number in a form that follows certain rules.
From the given information:
A standard ream of paper plus another half ream of paper contains 750 sheets of paper.
It means
total number of sheets = 750 sheets
Then
one full ream + half ream = 750 sheets
Let x be a number of sheets
then
x + x/2 = 750
2x+x /2 = 750
3x/2 = 750
3x = 1500
x = 1500/3
x = 500.
So, The number of the sheets in a ream of paper is a 500 sheets.
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You put $1,000 into a savings account that pays 7% in annual interest. how much money will you have after 7 years if the account pays only simple interest?
The total amount in the bank account after 7 years will be $1490
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. The principal amount in simple interest is constant.
The formula for simple interest = (P*R*T)/100
where P = principal amount
R = rate of interest
T = time in years
As per the question,
P = 1000
R = 7%
T = 7 Years
Simple interest will be = (1000*7*7)/100 = $490
The amount of money in the savings account at the end of 7 years will be $1000 + $490 = $1490
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please help!
there’s a picture, to see the question
Answer:
it's x+3
Step-by-step explanation:
it seems to go up by one so if you go down by you the input of 1 would be the output of 4 also known as (1,4)
and go again down by 1 and get (0,3)
so we know we have to add 3 each time so it is x+3
The function f(x) = -x³-7x2²-7x+15 has zeros located at-5, -3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
Step-by-step explanation:
[tex]f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0[/tex]
Multiply both parts of the equation by -1:
[tex]x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1[/tex]
1. Which of the following points are on the circle centered at the origin with 2 = 89 ?
A) (25,64)
B) (5, -8)
C) (-3,-9)
D) (√89, √89)
The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).
Which of the following points are on the circle centered at the origin with r² = 89?It follows from the task content that the circle in discuss has a center at the origin, (0,0).
Hence, the since the square of the radius is; = 89.
It follows that the point which fits into the equation of the circle; x² + y² = r² is;
Choice C; (5)² + (-8)² = 25 + 64 = 89.
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The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).
Which of the following points are on the circle centered at the origin with r² = 89?It follows from the task content that the circle in discuss has a center at the origin, (0,0).
Hence, the since the square of the radius is; = 89.
It follows that the point which fits into the equation of the circle; x² + y² = r² is;
Choice C; (5)² + (-8)² = 25 + 64 = 89.
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What is the answer to 1/4 times 2/3 times 4/3 equal?
Answer:
2/9
Step-by-step explanation:
To multiply fractions you just multiply the numerators with the numerators and the denominators with the denominators
1/4 * 2/3 = 2/12 which simplifies to 1/6
1/6 * 4/3 = 4/18 which simplifies to 2/9
:D
If
Δ
C
A
T
≅
Δ
D
O
G
, which statement must be true?
Answer:
Answer: mark me brainlest
Step-by-step explanation:
Answer is A.
Simplify the following expression.
(48x + 50y) - (35x - 5y)
A.
13x + 55y
B.
13x - 45y
C.
13x - 55y
D.
13x + 45y
Answer:
B
Step-by-step explanation:
(48x-50y)-(35x-5y)
48x-50y-35x+5y
13x-45y