IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Answers
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
Related Questions
Sam wants to buy a watch that cost $188. This is $48 more than 4 times
he sved last month. How much dia he save last month? *
Answers
Answer:
$35
Step-by-step explanation:
188-48 gives you the 4x what he saved
140/4 gives you the total which is 35.
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answers
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y axis is a parabola.
Select one:
True
False
Answers
Answer:
The correct option is;
False
Step-by-step explanation:
The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;
Circle; (x - h)² + (y - k)² = r²
Parabola; y = a·(x - h)² + k
[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola
Therefore, the graph may not be the graph of a parabola and the statement is false
Answer:
The correct answer is True
Step-by-step explanation:
I took the quiz and got it right.
Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.
Answers
Answer:
65 percent chance right
Step-by-step explanation:
so she opens it 13 out of 20 times, so divide 13 by 20 and you get it
What is the correct answer?
Answers
Answer:
6 units to the right, 3 units down
Step-by-step explanation:
help me please, please
Answers
——————-
-27 x -32
31104/864
=36
you roll two 6-sided number cubes
Answers
where is the question I dont see it
In triangle ABC, angle C is a right angle. If cos A = 5 8, what is the value of cos B?
Answers
Answer:
65
Step-by-step explanation:
If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year
Answers
Answer:
$102
Step-by-step explanation:
2% of $100 = 0.02 * $100 = $2
The increase is $2.
$100 + $2 = $102
Answer: $102
Answer:
100 x 0,2 x 1 year(12/12 months)
=$102 after a year
in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are __________.
A. On the same line
B. Unequal
C. Imaginary
D. The same point
Answers
Answer:
D. The same point
Step-by-step explanation:
An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.
This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.
Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.
Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes?
Answers
Answer:
4.64
Step-by-step explanation:
If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!
Answer:
$4.64
Step-by-step explanation:
3 x 1.45 = 4.35
1.45 x .2 = .29
4.35 +.29 = 4.64
A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism
Answers
Answer:
[tex]Volume = x^3y^4[/tex]
Step-by-step explanation:
Given
[tex]Length = xy^2[/tex]
[tex]Height = y^2[/tex]
[tex]Width = x^2[/tex]
Required
Determine the volume
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = xy^2 * x^2 * y^2[/tex]
This gives:
[tex]Volume = x^3y^4[/tex]
What is the image point of (7,0) after a translation right 2 units and up 1 unit?
Answers
Answer: (9,1)
Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)
Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3
Answers
Answer:
3
Step-by-step explanation:
y= x + 8..... (1)
y= 3x - 11..... (2)
y - x = 8..... (3)
y - 3x = -11..... (4)
eliminating x:
(3) × 3: 3y - 3x = 24 ........ (5)
(4) × 1: y - 3x = -11 ......... (6)
(5) - (6): 2y = 35
Divide both sides by 2, therefore, y = 17.5
substitute the value of y into (3)
y - x = 8
17.5 - x = 8
17.5 - 8 = x
9.5 = x
I hope it'll help
Use distributive property to remove the parenthesis for:
(1-y+x)(-6)
Answers
there ya go can u please give me brainliest
Answer:
Step-by-step explanation:
Multiply -6 to the first bracket so it would be
-6+6y-6x This is the answer
What is 5/9=14c-5/12
Answers
Answer:
c=5/72
Step-by-step explanation:
5/9=14c-5/12
Switch sides
14c-5/12=5/9
Add 5/12 tp both sides
14c-5/12+5/12=5/9+5/12
Simplify;
14c-5/12+5/12
=14c
Simplify;
5/9+5/12
LCM of 9, 12;
36
The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.
Prime factorization of 9;
3*3
Prime factorization of 12;
2*6
=2*2*3
=3*3*2*2
=36
5/9=5*4/9*4=20/36
5/12=5*3/12*3=15/36
=20/36+15/36
20+15/36
=35/36
14c=35/36
14c/14=35/36/14
14c/14=c
35/36*14
=35/504
=5/72
Answer c=5/72
Answer to the following question is as follows;
Value of C = 5 / 72
Step-by-step explanation:
Given:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
Find:
Value of C
Computation:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
By taking 5/12 to LHS Side
[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]
By taking LCM;
[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]
[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]
[tex]\frac{35}{36} = 14c\\\\[/tex]
By transfer 14 to LHS side
[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]
[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]
[tex]\frac{5}{72} = c\\\\[/tex]
Value of C = 5 / 72
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PLEASE HELP!!!
Which expression are equal to 6³×2 6÷2³?
O12 6
O12³
O6³
O2 6×3³
O2³×3³
Answers
Answer:
(6³×2^6)÷2³=6³×2^(6-3)=6³×2³=(6×2)³=12³is your answer(1728)
need help geometry question
Answers
Answer:
okay the answer 13.02 enjoy
Three points are coplanar
sometimes
Never
Always
Answers
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
Solve for x. 5000(2)^x = 3500(3)^x
Answers
Answer:
0.887966
Step-by-step explanation:
1. Divide by 3500
(5000/3500)(2^x) = (3^x)
2. divide by 2^x and simplify
10/7 = (3/2)^x.
3. apply 'ln' function
ln(10/7) = xln(3/2)
4. divide ln(3/2)
ln(10/7) / ln(3/2) = x
x = 0.87966
After a discount of 30%, the sale price of a ticket to Cedar Point is $35. What is the original
price? Show your work
Answers
Answer: 116.67
Step-by-step explanation:
30/100 * x = 35
3/10 * x = 35
3x = 350
x = 116.67
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Answers
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
im super confused pls help
Answers
How do you Solve 20/3=10/9x
Answers
Answer:
200
Step-by-step explanation:
100✓9283+374+_+38_+_+_("#9#9_+
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
HELP please my friend needs help with his MATH homework, see picture for problem TY :)
Answers
Plug in values into your formula
SA = 2•pi•r^2 + 2•pi•r•h
SA = 2•pi•3^2 +2•pi•3•8
Height (h) = 8in.
Radius (r) = 3 (diameter divided by 2)
Diameter = 6
SA = 2πr^2 + 2πrh
Where SA means surface area, r stands for radius, and h stands for height.
First find the radius. The radius of a circle is the distance from the outside of the circle to its center. It is half the diameter. To find the radius, divide the diameter by two.
r = 6/2
r = 3 inches
Now plug in the values for radius and height into your formula. Use pi = 3.14
SA = 2(3.14)r^2 + 2(3.14)rh
SA = 2(3.14)(3)^2 + 2(3.14)(3)(8)
SA = 6.28(9) + 6.28(24)
SA = 56.52 + 150.72
SA = 207.24 inches
You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x÷4≤175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.
Answers
Answer:
Step-by-step explanation:
It’s 20
Find x.
2x + 40
3x
4x
X + 50
x = [?]
y
Answers
Answer:
x=27
Step-by-step explanation:
Hey there!
the exterior angles of a quadrilateral add up to equal 360
so 360=2x+40+4x+3x+x+50
step 1 combine like terms
2x+4x+3x+x=10x
50+40=90
now we have
360=10x+90
step 2 subtract each side by 90
360-90=270
90-90 cancels out
now we have 270=10x
step 3 divide each side by 10
270/10=27
we're left with
x=27
Convert the angle −4.5 radians to degrees, rounding to the nearest 10th
Answers
Answer:-257.8
Step-by-step explanation:
please help me i really need help please
Answers
Answer:
90+42+x = 180
132+x=180
x=180-132
x=48
Answer:
48 DEGREES
Step-by-step explanation:
First you need to find the other two angles : 42 + 90 = 132 ( the 90 comes from the little square like shape on the other angle).
So x = 180 - 132 = 48 ( we use 180 because it is the sum of interior angles of a triangle.
HOPE THIS HELPED
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answers
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.