Answers
First, let us find out how many miles the hikers travel per day.
They walk at a rate of two mph for eight hours each day which means that they travel 16 miles per day (8x2).
Because the total distance of the great wall is 3948 miles to find out the amount of time needed...
3948/16 = 246.75 days (which is greater than 3 months)
answer: They can't cover the entire distance in three months.
because they go at basically a rate of 16 mi a day, and in a three month period there are 90 days give or take, they end up traveling only 1440 miles which is only a third or so of the full distance of the wall.
Related Questions
The cost of some office furniture after a 20% reduction was $3520.00. What was the original price before the furniture was discounted?
Answers
Answer:
[tex]\$4,400[/tex]
Step-by-step explanation:
Let
x ----> the original price of the furniture
Remember that
[tex]100\%-20\%=80\%=80/100=0.80[/tex]
we know that
The original price multiplied by 0.80 must be equal to the cost of the furniture after a 20% reduction
so
The linear equation that represent this situation is
[tex]0.80x=3,520.00[/tex]
solve for x
Divide by 0.80 both sides
[tex]x=\$4,400[/tex]
Answer:
4.00
Step-by-step explanation:
kim was solving a problem using Six steps first she read the problem then she wrote down the facts and figures next she knew she had to find a
Answers
Answer:
an equations which can be used to find the answer.
Answer: must be found.
Step-by-step explanation:
The SAS Theorem can be used to prove that two triangles are similar.
True
False
Answers
Answer:
The answer is true.
I took the quiz! :)
18.
If z = (5)(11)(28)(38), what is the
greatest prime factor of z?
A. 5
B. 7
C. 11
D. 13
E. 19
Answers
Answer:
E. 19
Step-by-step explanation:
z = (5)(11)(2·2·7)(2·19)
z = 2³·5·7·11·19
The greatest prime factor is 19.
what is the y-intercept, and what does it represent?
Answers
Answer:
The y-intercept is where an equation's graph hits the y-axis. It represents the constant value, when x=0, the intercept is the constant
Step-by-step explanation:
The y-intercept indicates the vertical position where the line or curve intersects the y-axis
The y-intercept refers to the point where a line or curve intersects the y-axis on a graph.
It is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
In the equation of a line in slope-intercept form (y = mx + b), where m represents the slope of the line and b represents the y-intercept, the y-intercept is the constant term (b).
The y-intercept represents the value of the dependent variable (y) when the independent variable (x) is not present or equal to zero.
It is the initial value or starting point of the function or graph.
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A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, each building must be painted with exactly one color. Any two neighboring buildings must be different colors, and the first and last buildings must be different colors. How many ways are there to paint the four buildings?
Answers
To determine how many ways to paint the buildings, we consider the choices for each building sequentially, considering the constraints. There are either 36 or 24 combinations, depending on the colors chosen for the first and last buildings. A step-by-step count confirms this range of possibilities.
A systematic approach gives us the general formula: 4 choices for the first building × 3 choices for the second building × 3 choices for the third building × (2 or 3) choices for the fourth building, depending on the first color chosen. This results in a total of 36 or 24 possible combinations, depending on the first and last color's relationship. A careful count avoiding the restrictions on the colors confirms this.
Factor completely 81x^8-1
Answers
The complete factorized form for the given expression is [tex]\left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)[/tex]
Step-by-step explanation:
Step 1: Given expression:
[tex]81 x^{8}-1[/tex]
Step 2: Trying to factor as a Difference of Squares
Factoring [tex]81 x^{8}-1[/tex]
As we know the theory that the difference of two perfect squares, [tex]A^{2}-B^{2}[/tex] can be factored into (A+B) (A-B)
from this, when analysing, 81 is the square of 9, [tex]x^{8}[/tex] is the square of [tex]x^{4}[/tex]. Hence, we can write the given expression as,
[tex]\left(9 x^{4}\right)^{2}-1^{2}[/tex]
By using the theory, we get
[tex]\left(9 x^{4}+1\right)\left(9 x^{4}-1\right)[/tex]
Again, we can further factorise the term [tex]\left(9 x^{4}-1\right)[/tex]
[tex]9 x^{4}[/tex] is the square of [tex]3 x^{2}[/tex]. Therefore, it can be expressed as below
[tex]\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)[/tex]
Now, we can not factorise further the term [tex]\left(3 x^{2}-1\right)[/tex]. Because it will come as [tex]\sqrt{3} x[/tex] (3 is not a square term). Thereby concluding that the complete factorisation for the given expression is [tex]\left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)[/tex]
What is the reflection of (8, -5) in the Y axis
Answers
Answer:
(-8, -5)
Step-by-step explanation:
I plotted the equation on a graph and looked at the reflection and got that.
Which ordered pair is the best estimate for the solution to the system
Answers
Answer:
The best estimate of the solution ordered pair from the graph is [tex](\frac{1}{2},0)[/tex].
Step-by-step explanation:
See the attached graph to this question.
The graph of two straight lines are shown in the graph.
Now, the two straight lines intersect on the x-axis, so the solution ordered pairs should have y-value equals to zero.
But, there are two ordered pairs with y-value zero and they are [tex](\frac{1}{2},0)[/tex] and [tex](\frac{1}{3},0)[/tex].
The best estimate of the solution ordered pairs from the graph is [tex](\frac{1}{2},0)[/tex].
So, this is the solution. (Answer)
What is the solution of
A. x = 0
B. x = 16 and x = 0
C. x = 16
D. x = 16 and x = 1
Answers
Yo sup??
we can simply try option verification for this problem.
when x=0 we get,
1 and 1≠5 therefore x=0 is not a solution.
when x=1 we get
√6-1≠5 therefore x=1 is not a solution.
when x=16 we get
9-4=5 therefore x=16 is a solution
Hence the correct answer is option C
Hope this helps.
The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions
What is the width?
What is the length?
Answers
Answer:
Step-by-step explanation:
let x be the width.
length = x +2
Perimeter = 36 ft
2*( x +2 + x ) =36
2x + 2 = 36/2
2x + 2 = 18
2x = 18 -2 = 16
x = 16/2
x = 8 ft
Width = 8 ft
Length = 8 + 2 = 10 ft
1. Is -7+9=-9+7 true, false, or open? (1 point)
O true
O false
open
Is Ay _ 3 = 19 true false or onen? noninti
Answers
It is false because -7+9 equal 2 and -9+7 equal -2
Problem 1
-7+9 is the same as 9+(-7) or 9-7. All of which simplify to 2.
On the other hand, -9+7 is the same as 7+(-9) or 7-9, which simplifies to -2.
Therefore the equation -7+9 = -9+7 becomes 2 = -2, and we can see this is a false equation.
Answer: false========================
Problem 2
Your second question has some weird typo errors going on. Please update.
-2k = k - 7 - 8 whats the answer
Answers
Answer:
−2k=k−7−8
−2k=k+−7+−8
−2k=(k)+(−7+−8)(Combine Like Terms)
−2k=k+−15
−2k=k−15
Step 2: Subtract k from both sides.
−2k−k=k−15−k
−3k=−15
Step 3: Divide both sides by -3.
−3k
−3
=
−15
−3
k=5
Step-by-step explanation:
Leon has 16 fewer quarters than dimes. He has 34 quarters.
Use the five-step problem-solving plan.
How many dimes does Leon have?
Enter you answer in the box.
Answers
Answer:
A grand total of 50 dimes
Step-by-step explanation:
The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f(d)=200d^3 + 542d^2 + 179d + 1605 and the number of visitors to the restaurant from Monday to Sunday can be modeled by g(d)= 100d + 321, where d is the number of days since Monday. What is the average number of burgers per person?
Answers
Answer:
Average = 96
Step-by-step explanation:
Average = sum of terms/ number of terms
sum of terms = number of burgers sold
number of terms = number of visitors
d = number of days since Monday which is 7
burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7
burgers sold = 200(7)³ +542(7)² + 179(7) +1605
burgers sold =68600 + 26558 + 1253 + 1605
burgers sold =98016
number of visitors= 100d + 321
number of visitors= 100(7) + 321
number of visitors= 700+321
number of visitors= 1021
Average = 98016/1021
Average = 96
How many solutions does this equation have?
(15x + 21) / 3
= 5x + 7
Answers
Answer:
3*(5*x-7)-(15*x-21)=0
Step-by-step explanation:
3 • (5x - 7) - (15x - 21) = 0
Step 2 :
Equation at the end of step 2 :
0 = 0
Step 3 :
Equations which are always true :
There are 9 large bicycles at the store. There are 6 small bicycles at the store. How many bicycles are at the store?
Answers
Answer:15
Step-by-step explanation:9+6=15
Answer: 15
Step-by-step explanation:
9+6
Point J(-2, 1) and point K(4, 5) form the line segment jk. for the point p that partitions jk in the ratio 3:7 what is the y coordinate of p
Answers
Answer:
[tex]\frac{11}{5}[/tex]
Step-by-step explanation:
Using the section formula
[tex]y_{P}[/tex] = [tex]\frac{3(5)+7(1)}{3+7}[/tex] = [tex]\frac{15+7}{10}[/tex] = [tex]\frac{22}{10}[/tex] = [tex]\frac{11}{5}[/tex]
What is the average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3]?
Answers
Final answer:
The average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3] is 7. This is found by evaluating g(x) at x = 0 and x = 3 and then dividing the difference by the interval length.
Explanation:
Calculating Average Rate of Change
The average rate of change of a function over an interval is the change in the function's values divided by the change in the independent variable (often x) over that interval. For the function g(x) = 3(2^x) - 6 over the interval [0,3], we first find the values of g(x) at the endpoints of the interval: g(0) and g(3). We then use the formula for average rate of change:
[tex]\[\text{Average Rate of Change} = \frac{g(3) - g(0)}{3 - 0}\][/tex]
Let's compute:
g(0) = 3(2^0) - 6 = 3(1) - 6 = -3g(3) = 3(2^3) - 6 = 3(8) - 6 = 24 - 6 = 18Now we can substitute these values into the formula:
[tex]\[\frac{18 - (-3)}{3 - 0} = \frac{21}{3} = 7\][/tex]
So, the average rate of change of the function g(x) over the interval [0,3] is 7.
Joyce paid $98.00 for an item at the store that was 30 percent off the original price. What was the original price?
Answers
Answer:
$127.40
Step-by-step explanation:
$98-30%=$127.4
The triangles are simliar by the:
show work please for brainlist
Answers
Step-by-step explanation:
BOTH TRIANGLES ARE SIMILAR BY THE AA SIMILARITY POSTULATE.
In first triangle:
Remaining angle = 180° - (70° + 30°)= 80°
In second triangle:
Remaining angle = 180° - (80° + 30°)= 70°
Hence, all the angles of first triangle are congruent to the corresponding angles of the second triangle.
Thus, both the triangles are similar by
THE AA SIMILARITY POSTULATE
$65 dress pants 20% discount
Answers
Answer:
52
Step-by-step explanation:
65 dollar is price so it has 20 percent discount so,
65× 20% = 13
so,
65- 13
52 dollars
A 6cm section of plastic water pipe has inner diameter of 12cm and outer diameter of 15cm. find the volume of the plastic pipe not the hollow interior to the nearest hundredth
Answers
Answer:
The volume of the plastic pipe is 141 cubic centimetre
Step-by-step explanation:
Given:
The Length of the plastic water pipe = 12 cm
The inner Diameter of the plastic water pipe = 12 cm
The outer Diameter of the plastic water pipe = 15 cm
To Find:
the volume of the plastic pipe not the hollow interior to the nearest hundredth = ?
Solution:
The volume of the plastic water pipe can be found by using the volume of the cylinder formula
The Volume of the cylinder = [tex]\pi r^2 h[/tex]
Where
r is the radius
h is the height
Radius r [tex]= \frac{diameter}{2} = \frac{15}{2} = 7.5 cm[/tex]
On substituting the values
The Volume of the cylinder
= [tex]\pi (7.5) (6)[/tex]
= [tex]45 \pi[/tex]
= 141.37 cubic centimetre
= 141 cubic centimetre
Given that 2( -x + 4) = 3 , prove that x = 5/2.
Answers
Answer: proved
Step-by-step explanation:
-2x+8=3
-2x=3-8
-2x= -5
2x= 5
x=5/2
The function g(x)=8(4x) is reflected across the x-axis to create f(x).
On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 8). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 8).
What is the equation of f(x)?
f(x)=8(4)x
f(x)=−8(4)x
f(x)=8
f(x)=−8
Answers
Answer:
It’s B if you dont want to read all that.
Step-by-step explanation:
The equation of f(x) is f(x) = -8(4x).
Explanation:The equation of the reflected function f(x) can be obtained by changing the sign of the coefficient of g(x), which is 8.
So, the equation of f(x) is f(x) = -8(4x).
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Select all the correct answers.
Which three of these story details can help a reader identify the theme
O
the author's background
O
repetition of ideas
the amount of dialogue
the interaction of story elements
the main conflict
Answers
Answer:
ideas and conflict and maybe elements depending on the story
How do I use the cosine rule for these problems?
Answers
Answer:
see explanation
Step-by-step explanation:
Using the Cosine rule
a² = b² + c² - 2abcosA ← Rearranging for cosA gives
cosA = [tex]\frac{b^2+c^2-a^2}{2ab}[/tex]
(a)
let a = 10, b = 7, c = 8 and A = α, then
cosα = [tex]\frac{7^2+8^2-10^2}{2(7)(8)}[/tex] = [tex]\frac{49+64-100}{112}[/tex] = [tex]\frac{13}{112}[/tex], thus
α = [tex]cos^{-1}[/tex]( [tex]\frac{13}{112}[/tex] ) ≈ 83° ( to the nearest degree )
(b)
let the angle opposite side 7 be x
Using the Sine rule
[tex]\frac{10}{sin83}[/tex] = [tex]\frac{7}{sinx}[/tex] ( cross- multiply )
10sinx = 7sin83 ( divide both sides by 10 )
sinx = [tex]\frac{7sin83}{10}[/tex] , thus
x = [tex]sin^{-1}[/tex] ( [tex]\frac{7sin83}{10}[/tex] ) = 44°
The third angle can be found using the sum of angles in a triangle
third angle = 180° - (83 + 44)° = 180° - 127° = 53°
The 3 angles are 83°, 44°, 53°
Amir drove from Jerusalem down to Lowest Place on earth, the Dead Sea descending at a rate of 12 meters per minute he was at sea level after 30 minutes of driving. Graph the relationship between Aamir’s attitude relative to sea level in meters and time inminutes
Answers
Answer:
see below for a graph
Step-by-step explanation:
It is convenient to use a point-slope form of the equation of a line for graphing, since we know the slope is -12 m/min and the point is (30, 0) at sea level.
The horizontal axis is minutes; the vertical axis is meters above sea level. The graph cannot extend below -413 meters from sea level, as that is the lowest place on earth.
Write the ratio as a fraction in simplest form.
1) 15 girls to 6 boys and question 2) 24 plays for 3 teams
Answers
Answer:
Part 1) [tex]\frac{5}{2}[/tex] or [tex]5:2[/tex]
Part 2) [tex]\frac{8}{1}[/tex] or [tex]8:1[/tex]
Step-by-step explanation:
Write the ratio as a fraction in simplest form
Part 1) 15 girls to 6 boys
we know that
To find out the ratio, divide the number of girls by the number of boys
so
[tex]\frac{15}{6}[/tex]
Simplify
Divide by 3 both numerator and denominator
[tex]\frac{5}{2}\ \frac{girls}{boys}[/tex]
Part 2) 24 plays for 3 teams
we know that
To find out the ratio, divide the number of plays by the number of teams
so
[tex]\frac{24}{3}[/tex]
Simplify
Divide by 3 both numerator and denominator
[tex]\frac{8}{1}\ \frac{plays}{team}[/tex]
Final answer:
To simplify the ratios 15 girls : 6 boys and 24 plays : 3 teams, find the greatest common factor and divide both parts of the ratio by it, resulting in the simplest forms rac{5}{2} and 8, respectively.
Explanation:
To write the ratios as fractions in simplest form for the given scenarios:
For the ratio of 15 girls to 6 boys, the fraction would be rac{15}{6}. To simplify, divide both the numerator and the denominator by their greatest common factor (GCF), which is 3. Thus, the simplest form is rac{15 \/ 3}{6 \/ 3} = rac{5}{2}.
For the ratio of 24 plays for 3 teams, the fraction is rac{24}{3}. Again, to simplify, divide both the numerator and the denominator by the GCF, which is 3 in this case. The simplest form is rac{24 \/ 3}{3 \/ 3} = rac{8}{1}, which can also be written simply as 8 since a denominator of 1 implies the value is a whole number.
Elijah drinks 35 out of 40 ounces of the water in her water bottle what percentage did Elijah drink
Answers
Answer:
87.5%
Step-by-step explanation:
35/40=7/8=0.875=87.5%
it wants at least 20 characters to answer this question so whoops