Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Mrs. McMillan, the PE, teacher, is pairing off students to race against each other. Heather can
run 4 meters per second, and Erin can run 5 meters per second, Mrs. McMillan decides to give Heather a head start of 23 meters since she runs more slowly. Once the students start
running, Erin will quickly catch up to Heather. How far will Erin have to run? How long will
that take?
Please help.
Answer:
23 seconds later Erin will catch up
Erin will run 115 meters
Step-by-step explanation:
23+4x=5x
x=23
23 seconds later Erin will catch up
Erin will run 115 meters
Which TWO identify the same sequence?
A) f(x) = 6x + 4 for x = {1, 2, 3, ...}
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}
D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}
E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}
The sequences A and E are the same sequences.
What is Sequence?Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.
A) f(x) = 6x + 4 for x = {1, 2, 3, ....}
f(1) = 10, f(2) = 16, f(3) = 22, ....
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
f(1) = 14, f(2) = 24, f(3) = 34, ....
C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....
D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....
E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....
A and E are the same sequences with a common difference 6 and the first term 10.
Hence A and E have the same sequence 10, 16, 22, .....
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Select all statements that are true.
All points on the same plane are congruent.
All points on the same plane are congruent.
All segments on the same plane are congruent.
All segments on the same plane are congruent.
All angle on the same plane are congruent.
All angle on the same plane are congruent.
All triangles on the same plane are congruent.
Congruence means equivalence in comparison.
All points on the same plane are congruent. (True)
A point is an exact location .
It can be anywhere on the plane. It has one dimension. The point is always the same.All segments on the same plane are congruent. (False)
A line segment has two end points.It can be of different length.Two line segments are congruent only if they have the same length.Without knowing the lengths of different segments these cannot be termed as congruent.
All angle on the same plane are congruent. (False)
Two angles can only be the same if they have the same position with regard to parallel lines. Two angles can only be same if they have the same degree of measurement.All triangles on the same plane are congruent. (False)
Two triangles are congruent if they have
same lengths of their corresponding sidessame measurements of the three angles of both triangles.The triangles congruence can also be understood by
https://brainly.com/question/1675117
The angles congruence can also be understood by
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The line segments congruency can also be understood by the following link
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hey I really need help on this one please help me thanks
Answer:
y = -10/3x -23
Step-by-step explanation:
Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.
We are trying to find m.
Slope-intercept formula:
m = y2-y1/x2-x1
Now let's identify our points, (-9,7) and (-6,-3).
= -3-7/-6+9
= -10/3
Point-slope formula:
y-y1 = m(x-x1)
Now let's identify our points, (-9,7) and (-6,-3).
-3 - 7 = m(-6 + 9)
-10 = 3m
-10/3 = m
Now, we have to use slope-intercept formula to find our b.
y = mx+b
y = -10/3x + b
Let's substitute one of the points, any given points work!
7 = -10/3(-9) + b
7 = 30 + b
-23 = b
Let's put it back in.
y = -10/3x -23
George is 14 years old. His age is 2 years more than twice his brother, Jhon's age. How old is John?
Answer:
30
Step-by-step explanation:
14×2=28
28+2=30
i hate riddles
Find the product. Simplify your answer. (m–4)(2m+2)
Answer:
2m²-6m-8
Step-by-step explanation:
(m-4)(2m+2)
= (m+-4)(2m+2)
= (m)(2m)+(m)(2)+(-4)(2m)+(-4)(2)
= 2m²+2m-8m-8
= 2m²-6m-8
Which of the following decimals is equal to 3 1/40
?
please explain why
3.0025
3.025
3.0250
Answer:
3.025
Step-by-step explanation:
the answer is 3.025 because 1/40 simplified is 0.025 and add the 3 to get 3.025
Answer: 3.0250
Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:
Step 1: divide numerator (1) by the denominator (40): 1 ÷ 40 = 0.025
Step 2: add this value to the the integer part: 3 + 0.025 = 3.025. So,
3 1/40 = 3.025
What is the measure of ZB?
Answer:
∠ B = 116°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ B + 28° + 36° = 180°
∠ B + 64° = 180° ( subtract 64° from both sides )
∠ B = 116°
Answer:
116°Step-by-step explanation:
The sum of interior angles of a triangle is 180°
so
180 - 36 - 28 =
116°
Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6
Answer:
hlp
Step-by-step explanation:
hlp
Solve the following systems of linear equations below by elimination or by substitution method. y = 4/3 x - 9
y = x + 3
Answer:
x=33 and y=36
Step-by-step explanation:
You can rewrite the equation into
x+2=4/3x-9
Now you can subtract 2 on both sides
x=4/3x-11
Now subtract 4/3x on both sides:
-1/3x=-11
Multiply -3 on both sides:
x=33
Now substitute x with 33
y=33+3
y=36
Thus x=33 and y=36
Hope this helps!
sushi is a food peculiar to which country
Answer:
The concept of sushi was introduced to Japan
Write in expanded form
1) 531.029
Answer:
expanded for everything
Step-by-step explanation:
Expanded Form of 531.029:
531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)
531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)
531.029 = 500 + 30 + 1 + 2/100 + 9/1,000
531.029 = 500 + 30 + 1 + 0.02 + 0.009
what is 7 plus 56 divided by 4 tims 7
Answer:
107
Step-by-step explanation:
Answer:
The answer is 105
Step-by-step explanation:
hope its help:)
Write an equation for the line parallel to the line – 25x + 5y = -9 through the point (0,0).
help pls!
Answer:
Step-by-step explanation:
Rewrite the equation is standard format: y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0). \
– 25x + 5y = -9
5y = 25x - 9
y = 5x - (9/5)
This line has a slope of 5. A parallel line will have the same slope as the reference line. This means:
y = 5x + b
Any line with a slope of 5 will be parallel, regardless of the value of b. We need b, however, since we also want this line to cross point (0,0). We can use this point in the equation and solve for b:
y = 5x + b
0 = 0x + b
b = 0
Our line becomes y = 5x + 0, or
y = 5x
[Note that we could also say b=0 just by looking at the given point. The y-intercept, b, is the value of y when x=0. The point we were given tells us y = 0 at x = 0.
Convert 62% into a fraction
Answer:
62/100 but simplified is 32/50
What is an equation of the line with slope 6 and y-intercept -4?
Answer:
y = 6x - 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables.
m = 6
y = -4
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = 6x - 4for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
The value of x that makes sense for the expression is the domain of the expression
The value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0The value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense[tex]\sqrt{-2x^2}[/tex]
For the above expression to have a defined value, the expression in the bracket must be positive.
However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0
Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0
[tex]\sqrt{(-2x)^3}[/tex]
For the above expression to have a defined value, the expression in the square root must be positive.
However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0
Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense
Read more about domain at:
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Answer: First answer = x<=0 and second answer is x<0
Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.
-6 • f(-3) - 5 • g(-7) =
please help
Answer:
18f+35g
Step-by-step explanation:
Negative six times negative three will be equivalent to positive f, as negative negative five times negative seven equals thirty-five.
Which histogram represents this data set? 6, 7, 6, 2, 4, 5, 7, 1, 5, 8, 3, 5, 8
Answer:
See attached
Step-by-step explanation:
You do not have options, but a histogram that would represent this data is attached.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
In a parking lot 30% of the cars are white write this as a decimal
Answer:
0.3
Step-by-step explanation:
Answer:
[tex]{ \tt{30\% = 0.3}} \\ [/tex]
2+2+4+6+9+2+4+5+7+0+10+3
Answer:
The answer is 54.
Step-by-step explanation:
You add all these numbers up.
Find the slope of the line. Describe how one variable changes in relation to the other.
A. 2/3; the amount of water increases by 2 gallons every 3 min
B. -2/3; the amount of water decreases by 2 gallons every 3 min
C. -3/2; the amount of water decreases by 3 gallons every 2 min
D. -1; the amount of water decreases by 1 gallon every minute
Answer:
D. -1 the amount of water decreases by 1 gallon every minute.
Step-by-step explanation:
15, 0 -> 12, 3
3 - 0 = 3
-------
12 - 15 = -3
3/ -3 = -1
Jessica runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
Answer:
If I am wrong I appologize I haven't done this math in years
Step-by-step explanation:
60÷7= 8.57
so each mile takes 8.57 mins
24÷8.57= 2.8 miles
find the value of 7u+7 given that -3u-5=4
Answer:
14
Step-by-step explanation:
-3u = 4+5
-3u = 9
u = -3
7u + 7
7(u +1) = 7(-3+1)
7(-2)
14
40 pts! PLEASE HELP FAST WILL MARK BRAINLIEST
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
X
f(x) = 2.5x – 10.5
g(x) = 64(0.5x)
2
3
4
5
Answer:
f(2) = 2.5×2-10.5
=5-10.5
=-5.5
g(2) = 64(0.5×2)
= 64×1
=64
f(3)=2.5×3-10.5
=7.5-10.5
=-3
g(3)=64(0.5×3)
=64×1.5
=96
f(4)=2.5×4-10.5
=10-10.5
=-500
g(4)=64(0.5×4)
=64×2
=128
f(5)=2.5×5-10.5
=12.5-10.5
=2
g(5)=64(0.5×5)
=64×2.5
=150
I think it is the processs It will help you
Kesha went for a drive in her new car. She drove at a speed of 51.2 miles per hour for 2 hours. For how many miles did she drive?
Answer:
102.4
Step-by-step explanation:
51.2 x 2 = 102.4
Seven less than one-fourth of a number is 2. What is the number?
Based on the equation given, it can be deduced that the value of the number will be 36.
Let the number be represented by x
Therefore, seven less than one-fourth of a number will be:
=(1/4 × x) - 7
= 0.25x - 7
Now, seven less than one-fourth of a number is 2 will be written as:
0.25x - 7 = 2
0.25x = 2 + 7
0.25x = 9
x = 9/0.25
x = 36
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Help me please ill mark as the brainiest if correct. I don't know how so please tell me
Answer:
:)))))
Step-by-step explanation:
<3
Jamal has a plan to save money for a trip. Today, Jamal deposits $8.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account. Week 0 1 2 3 4 Deposit (Dollars) 8 13 18 23 28 Let f(x) represent the amount of money Jamal deposits into saving account at the end of x weeks. Based on the table, what is f(8)?
Answer:
f(8) = $48
EQUATION
f(x)= 8+5(x)
Step-by-step explanation:
initial value = $8
every week there is an additional $5 added.
f(x) = 8+5x
f(8) = 8+ 5(8) = 8 + 40 = 48.
At the end of week 8 (x=8) , Jamal has $48 (y=48) saved.
Solve for q using both equation 1 and 2 question in pic
Answer:
p=1/8 q=3/4
Step-by-step explanation:
-2p+7q=5
-6p+35q=51/2
cancel out a variable
(-5)(-2p+7q=5)
-6p+35q=51/2
10p-35q=-25
-6p+35q=51/2 =
4p=1/2
4p/4=1/2 /4
p=1/8
substitute p=1/8 into one of the equation to find q
-2p+7q=5
-2(1/8)+7q=5
-1/4+7q=5
7q=5+1/4
7q=21/4
q= 21/4 /7
q=3/4