Answer:
The average elevation of his three rest stop is 900 ft
Step-by-step explanation:
The elevation at which the hiker started = 800 feet
The extra height to which he climbed on his first rest stop = 200 feet
The height down which he climbed to his second rest stop = 400 feet
The height to which he then climbed to his third rest stop = 500 ft
Given that the hiker started at 800 ft, we have;
His height at his first rest stop = 800 + 200 = 1,000 ft
His height at his second rest stop = 1000 - 400 = 600 ft
His height at his third rest stop = 600 + 500 = 1,100 ft
Therefore, the average elevation, hₐ, of his three rest stop is given as follows;
hₐ = (The sum of the three elevation)/(The number of elevation)
hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3 = 900 ft
The average elevation of his three rest stop = 900 ft.
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!!! 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:
a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color
Answer:Well the first one is 60
Step-by-step explanation:6!/3!2!=60 thats all i got
Answer:
60 for the first one
Step-by-step explanation:
Two maps are made of a park. The scale from the park to map A is 30 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on map A. The scale from the same park to map B is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on map B. 1. What is the actual length (in miles) of Salamander Trail?
Answer:
The actual length of Salamander Trail is 28 miles
Step-by-step explanation:
Here, we want to calculate the actual length of salamander trail.
From the question, we are told that a a distance of 3cm on the map B is 24 miles in the park
So now, we have length of 3.5 cm and we want to calculate what is the actual length in miles
From the question on map B;
3 cm = 24 miles
so
3.5 cm = x miles
x * 3 = 24 * 3.5
x = (24 * 3.5)/3
x = 8 * 3.5 = 28 miles
Write the product as a power:
(xy) (xy) (xy) (xy)
Answer:
(xy)⁴
Step-by-step explanation:
We have 4 xy terms multiply together. That means we can rewrite it as a power of 4.
2x + 3b = 156
5 = b + 8
Answer:
x = 29 , b = -3
Step-by-step explanation:
5 = b + 8
5 - 8 = b
-3 = b
b = -3
2x + 3b = 156
156 / 3 = 52
52 / 2 = 26
x + b = 26
26 + 3 = 29
x = 29
weavers are making a carpet from a scale drawing. The carpet will be 10 ft by 14 ft. Every 5 in. on the drawing represents 7 ft of carpet. What are the length and width of the scale drawing?
the answer is 9.2 in by 10 in
The length and the width of the scale drawing are 7.14 inches by 10 inches.
Since every 5 inches on the drawing represents 7 ft of carpet, then the width of the drawing will be:
= 10 × 5/7 = 50/7 = 7.14 inches
The length of the drawing will be:
= 14 × 5/7
= 10 inches.
Therefore, the length and the width of the scale drawing are 7.14 inches by 10 inches.
Read related link on:
https://brainly.com/question/18336040
A line has a slope of 2 and passes through the points (4,1) what is the equation in slope intercept form?
Answer:
y=2x-7
Step-by-step explanation:
Answer:
idk
Step-by-step explanation:
cuz
If the measure of the third angle of the triangle is 45 ° more than three time the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
Answer:
The first and second angles are 27° and the third angle is 126°.
Step-by-step explanation:
We have that the third angle (β) is 45° more than three times the measure of either of the other two angles (θ):
[tex] \beta = 45 + 3\theta [/tex] (1)
Also, the sum of the measures of the 3 angles is 180°:
[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex] (2)
By entering equation (1) into equation (2) we have:
[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]
[tex] 5\theta = 180 - 45 [/tex]
[tex] \theta = 27 [/tex]
Hence, the third angle is:
[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]
Therefore, the first and second angles are 27° and the third angle is 126°.
I hope it helps you!
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
Answer:
[tex]\longrightarrow 5n+1\longleftarrow[/tex]
Step-by-step explanation:
[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]
Answer:
[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]
Step-by-step explanation:
We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).
[tex]f(n)+g(n)[/tex]
We know that:
[tex]f(n)=2n+1\\g(n)=3n[/tex]
Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)
[tex](2n+1)+(3n)[/tex]
Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.
[tex](2n+3n)+(1)[/tex]
[tex](5n)+1[/tex]
[tex]5n+1[/tex]
f(n)+g(n) is equal to 5n+1
Suppose SAT Writing score are normally distributed a mean of 497 and a standard deviation of 114. A university plans to admit students whose scores are in the top 30% . What is the minimum score required for admission? Round your answer to the nearest whole number.
Answer:
The minimum score required for admission to the nearest whole number = 557
Step-by-step explanation:
We solve this using z score formula.
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 30% of the candidates is a ranking that is equivalent to = 100 - 30% = 70th percentile.
The z score of 70th percentile = 0.524
Mean = 497
Standard deviation of 114.
Minimum score = raw score = ???
Hence:
0.524 = x - 497/114
Cross Multiply
0.524 × 114 = x - 497
59.736 = x - 497
x = 59.736 + 497
x = 556.736
The minimum score required for admission to the nearest whole number = 557
19th October, 2020
the diagram below is a plane figure made up
of a rectangle of sizes 50m by 28 m and an
equilateral of height 24 cm. A circle is cut-out
of the rectangle as shown. If the circle
touches the three sides of the rectangle Calculate
a) the perimeter of the figure
the remaining portion of the figure.
Answer:
Step-by-step explanation:
Equilateral Triangle:
Side of triangle = breadth of rectangle
= 28 cm
height = 24 cm
Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]
= [tex]\frac{1}{2}*28*24[/tex]
= 28* 12
= 336 square cm
Rectangle:
length = 50 m
breadth = 28 m
Area of rectangle = length * breadth
= 28 * 50
= 1400 square cm
Diameter of circle = breadth of rectangle
d = 28 cm
r = 28/2 = 14 cm
Area of circle = πr²
[tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]
= 616 square cm
Area of the remaining portion = Area of rectangle - area of circle + area of triangle
= 1400 - 616 + 336
= 1120 square cm
Perimeter of the figure = 28 + 50 + 28 + 28 + 50
= 184 cm
Hint: Perimeter of the figure. three side of rectangle + two sides of triangle
If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?
Answer:
3 2/4
Step-by-step explanation:
3.5 or just 3 if you round
Micheal had 1000 viruses on his phone and he got rid of 99 how much viruses does he have to get rid of? and your welcome for the points :D
901
ILY EPICFARTS2021 THANKS FOR ALL THE POINTS
PLSSS HELP ME I WILL MARK U!!!!!!!
Answer: am not 100% sure but shouldn't it be all if them?
Step-by-step explanation:
Answer:
Everything except 2
Step-by-step explanation:
Terms are separated by signs. 2 is the coefficient (number in front of a variable)
I finished this question but I need someone to check it, thanks
Answer:
Looks good ✋
Step-by-step explanation:
Answer:
it is correct
Step-by-step explanation:
I got 5,432,113,209,876,532
Solve the compound inequality.
3<2−3≤12
3
<
2
p
−
3
≤
12
3<2−3≤12
3
<
2
p
−
3
≤
12
Group of answer choices
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
$$66<≤15
6
<
p
≤
15
6<≤15
6
<
p
≤
15
$$3
Answer:
I would say either the 2,3,4,or 5
Which one of these shapes is not like the others?
Shape A
Shape B
Shape C
Answer: C is more oval like than the others
Step-by-step explanation:
does anybody know how to solve this equation 5+3∣10−4x∣=20
x = 5/4 or x = 15/4
Step-by-step explanation:
7+ (-5)+(-2)=0
7+ (5)+(2)=0
7+(-4)+(-3)=0
7+(-6)+(-1)=0
Answer:
1. true
2. false
3. true
4. true
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
C.
Step-by-step explanation:
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m
Answer:
m=45
Step-by-step explanation:
I hour travels 45 minutes
Answer:
m=45h
Step-by-step explanation:
your welcome
i need help with this question. please help me.
Answer:
it cost $9.2972048
Step-by-step explanation:
Answer:
Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.
I need help with this please
Answer:
b
Step-by-step explanation:
Answer:
The answer is B. since the m on the bottom is negative you are taking it away. You basically just combine your variables to make the equation.
Step-by-step explanation:
PLEASE HELPPPP ITS A MULTIPLE CHOICE ANSWER !
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
if i have a 74.23% in math class and i get a 0 on a Summative Assignment, what is my new grade?
Y'all are smart, please help
On the coordinate plane shown below, points and have coordinates and , respectively. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points and on a coordinate plane. Use complete sentences to describe the strategy. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations. Use the distance formula and the coordinates of points and to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete because the image is missing. However, I have attached an image from Lumen learning to help you understand how to calculate the difference between two points on a straight line graph.
Given two points (x1,y1) and (x2,y2) on a straight line graph as shown in the image attached, a straight line drawn to join the two points gives the distance between the two points. This line drawn to join the points becomes the hypotenuse of a triangle ABC.
Given that;
(x2-x1) =a
(y2-y1)=b
distance =c
Recall that Pythagoras's theorem states that;
[tex]c= \sqrt{a^{2} + b^{2} }[/tex]
Then, according to Pythagoras's theorem;
c =√(x2-x1)2 + (y2-y1)2)
Simply put;
c=√(difference between abscissae)2 - (difference between ordinates)2
You can now substitute values and obtain a numerical result.
Which fraction is greater than the fraction represented by the model? A circle divided into 8 equal parts. 3 parts are shaded. One-fourth StartFraction 7 over 16 EndFraction One-eighth StartFraction 3 Over 16 EndFraction
Answer:
7/16
Step-by-step explanation:
Just took the test! :)
Answer:lol i agree
Step-by-step explanation:
Help ASAP please please plsssssssssssssssssss
Answer:
1.666666667
Step-by-step explanation:
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.
Given:
The recipe calls for 0.5 quart of milk and 2.5 cups of flour.
She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.
To find:
Whether she have the correct amount of milk and flour to make the pancakes from the recipe.
Solution:
Required Milk = 0.5 quart
Milk she has = [tex]\dfrac{3}{8}=0.375[/tex] quarts
Clearly, 0.375 < 0.5.
Required Flour = 2.5 cups
Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups
Clearly, 2.25 < 2.5
Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe