5.
Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit:
• She wants to hike for 2 hours.
• She wants to spend no more than 6 hours away from home.
• She can average 65 miles per hour to and from the park.
Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.
A. 392 miles
B. 260 miles
C. 16 miles
D. 392 miles
Answers
Answer:
B. 260 miles
Step-by-step explanation:
The important thing to consider here is the maximum amount of time she can spend driving. Since she will spend 2 hours at the park and want to be gone no more than 6 hours, this number is 4 hours.
This means she can spend 2 hours on the way to the park and 2 hours back. Her maximum distance, therefore, is 2 hours times an average speed of 65 miles per hour
Therefore:
2x ≤65 * 4
2x ≤ 260
x ≤ 130
Her maximum distance is 2 hours x 65 mph = 130 miles.
Answer:
Alexandria can choose any distance not more than 130 miles from her house to the park.
Step-by-step explanation:
Let Alexandria takes time 't' hours to walk from home to the park and distance between park and home is 'x' miles.
If she averages 65 miles per hour "to and fro" from her home to the park then the inequality that will represent this situation will be
2x ≤ 65t [ Distance = Speed × time ]
If she wants to hike for 2 hours and maximum time spent to reach the park is 6 hours
Then the maximum time spent by her to reach the park from her home should be = 6 - 2 = 4 hours.
By placing the value of t = 4 in the inequality
2x ≤ (65×4)
2x ≤ 260
x ≤ 130
Therefore, Alexandria can choose any distance not more than 130 miles from her house to the park.
Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit: • She wants to hike for 2 hours. • She wants to spend no more than 6 hours away from home. • She can average 65 miles per hour to and from the park. Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.
The actual answer is 180 miles if anyone was wondering. I know the other answer is "Verified" but its wrong. me and the other people who trusted it know that. good luck.
Alexandria wants to go hiking on Saturday. To choose from several parks she could go to, she considers these conditions.
She wants to hike for 2 hours.
She wants to spend no more than 6 hours away home.
She can average 65 miles per hour to and from the park.
Write and solve an inequality to find possible distances from Alexandrias home to a park that satisfies the conditions.
Explain show work please.
Favorite Answer
The distance from Alexandria's home to a park has to be within 130 miles.
Let h = time of Alexandria's hike = 2 hours.
Let p = time spent to get to park (driving)
h + 2p (since it is round trip - to the park and back) <= 6 hours (time to spend away from home)
h = 2, thus
2 + 2p <= 6
2p <= 4
p <= 4/2 = 2
Thus, she has to spend 2 hours to get to the park, and spend 2 hours to get back home.
distance to the park <= speed of driving x time of getting to park
<= 65 miles per hour x 2 hours
<= 130 miles
Thus, we get the 130 miles.
The correct option is B. 260 miles. and the required inequality is [tex]2+\dfrac{D}{65} \leq 6[/tex].
Given, Alexandria wants to go hiking based on the conditions.
The average speed of Alexandria is 65 miles per hour.
Since she wants to hike minimum of 2 hours, so minimum distance covered by her will be [tex](65\times2=130) \\[/tex] miles.
Now time [tex]t[/tex] required to cover [tex]D[/tex] distance with the speed of 65 miles per hour will be [tex]\frac{D}{65}[/tex] hours.
But She doesn't want to spend more than 6 hours away from home,
So the inequality becomes,
[tex]2+\dfrac{D}{65} \leq 6[/tex].
On solving for D,
[tex]\dfrac{D}{65} \leq 6-2[/tex]
[tex]D\leq 4\times65\\\\\D\leq 260[/tex]
Hence the Distance traveled by Alexandria must not exceed by 260 miles.
Therefore the correct option is B. 260 miles. and the required inequality is [tex]2+\dfrac{D}{65} \leq 6[/tex].
For more details on Inequality follow the link:
https://brainly.com/question/19491153
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Drew's neighbor pays him $35 to mow
her lawn and she always gives him a 20%
tip. He decides to mow the lawn with his
friend and split the earnings evenly. How
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Answers
Answer:
Step-by-step explanation:
Ok lets find 20% of 35 first.
20% of 35 is just 2 lots of 10%
10% of 35 is 3.5 if we move over the decimal
2 lots of 3.5 is 7
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-cheesetoasty
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Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
[tex]bit.^{}ly/3dXyuz8[/tex]
I think its option 2
Q2.
Find the number that is exactly half way between -4 and 10
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Answer:
3
Step-by-step explanation:
(Prove that):
2 sin 70. cos 20 = sin 90 + sin 50
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:300
Step-by-step explanation:
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Answer:
~27.764982043070833894247682407876
Step-by-step explanation:
First, we can add 8+5.5+8 because of the two sides which are 8 and one that is 5.5. That is 21.5.
Then, we must find the diagonal edge. To do that, we can use the pythagorean theorem. It makes a triangle, so given that a^2+b^2=c^c, we can say that 3^2+5.5^2=c^c. Using a calculator, we can find the square root of 39.25, then add it to 21.5.
Answer:
27.8
Step-by-step explanation:
the other person that answered this is right if you but if you wanted rounded to the nearest tenth it would be would be my answer
Plzz Help!!! Don't do it for points plzz!! Will mark brainliest.
Answers
Please help me with the questions
Answers
Answer:
V = 768in³
LA = 608in²
SA = 692in²
Step-by-step explanation:
Volume:
7 x 12 ÷ 2 = 42
42 x 19 = 768
LA:
11 x 19 = 209
9 x 19 = 171
19 x 12 = 228
209 + 171 + 228 = 608
SA:
12 x 7 = 84
84 + 608 = 692
hope this is right:)
A survey in one middle school bowed that 2 out of 9 students help cook meals at
home. Predict how mery art of the 774 students in the school help cook meals at
home.
Answers
It takes 5 builders, 18 hours to build a wall.
How many minutes would it take 8 builders?
Answers
Kant's sister has 150 red marbles and 360 pink marbles and she wants the same number of marbles on each row, what is the least number of rows she can make ?
Answers
Answer:
We know that Kant's sister has 150 red marbles and 360 pink marbles.
She separates the marbles in rows, such that each row must have the same number of marbles.
The least number of rows she can make is when she puts N marbles in each row, such that N is the greatest common factor between 150 and 360.
To find the greatest common factor between 150 and 360 we can write them as the product of prime numbers.
150 = 15*10 = (3*5)*(2*5)
360 = 36*10 = (6*6)*(2*5) = (2*3*2*3)*(2*5)
Here we can see that the factors: 2, 3, and 5 appear (at least) one time in each number, this means that the greatest common factor between 150 and 360 is the product of these 3 factors:
GCF = 2*3*5 = 30
This means that we need to make rows with 30 marbles each.
and we will have:
150/30 = 5 rows of red marbles
360/30 = 12 rows of pink marbles.
A total of 5 + 12 = 17 rows.
work out the size of the angle marked x
Answers
Answer:
X=60
Step-by-step explanation:
Sum of the Quadrilateral interior angles:360
360-70-130-100=60
A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?
Answers
Answer:
The statue is 22ft tall.
Step-by-step explanation:
Here we will have two similar triangle rectangles.
One is made between the girl's feet, the mirror, and the girl's eyes.
So in this case the catheti are:
the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)
The other triangle rectangle has the vertices:
The mirror, the base of the statue, and the top of the statue.
Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).
Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.
Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:
3m = k*12m
And the height of the girl must be k times the height of the statue.
5.5ft = k*X
You can see that we have different units, this does not matter because k is a dimensionless constant.
With the first equation we can find the value of k
3m = k*12m
3m/12m = k
(3/12) = 1/4 = k
Now we can replace this in the other equation to get:
5.5ft = (1/4)*X
Solving this for X we get:
(5.5ft)*4 = X
22ft = X
The height of the statue is 22ft.
does anyone know the answer??? i’ll mark brainlist
Answers
Sorry if I got it wrong
Answer:
c
Step-by-step explanation:
[tex]( ln(x))1[/tex]
how do you solve it?
Answers
Write an equation in slope intercept form of the line that passes through the points (4,13) and (8,18)
A. y=2.5x+3
B. y=1.5x+7
C. y=2x+5
D. y=1.25x+8
Answers
Answer:
y=5/4x+8 Answer Choice D).
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(18-13)/(8-4)
m=5/4
y-y1=m(x-x1)
y-13=5/4(x-4)
y-13=5/4x-20/4
y-13=5/4x-5
y=5/4x-5+13
y=5/4x+8
Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?
Answers
Answer:
11 sweatshirts and 17 t shirts
Step-by-step explanation:
[tex]t + s = 28\\12t = 20s = 424[/tex]
Step one: cancel out one variable. In this one, t.
[tex]-12(t + s = 28)\\-12t -12s =-336[/tex]
Now that we have that, subtract that from the other expression.
[tex]12t + 20s = 424\\-12t -12s = 336[/tex]
You should get:
[tex]8s = 88\\ s = 11[/tex]
Plug s in any expression
[tex]t + 11 = 28[/tex]
You should know where to go from there, I'm lazy :p
Then t = 17
GOod Luck!!!!
Please help I am begging you extra points and BRAINLIEST!!!!!!!
You don’t have to show the work just answers! If you do this it will make my whole life please help!!!!!!!
Answers
1) x= 14
2) x=110
3) x=5
4) x=110
extra
1) x=4
2) x=6
3) x=10
PLEASE SOLVE QUICK WILL GIVE BRAINLIST IF CORRECT
Answers
Answer:
you got it right
Step-by-step explanation:
I don't understand the problem. Can you help me solve it please? I also have an IEP.
Answers
Answer:
12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)
a^2 + b^2 = c^2
Substitute the known values
5^2 + b^2 = 13^2
25+b^2 = 169
Subtract 25 from each side
25+b^2-25 =169-25
b^2 = 144
Take the square root of each side
sqrt(b^2) = sqrt(144)
b=12
Answer:
Given:
a = 5c = 13To find:
missing side b
Solution:
Using Pythagorean theorem,
(Hypotenuse² = base² + perpendicular²)
b² = c² - a²
= 13² - 5²
= 169 - 25
= 144
b = √144
= 12
Pls, help!! I will give Brainliest to the first answer that is correct!
Answers
Answer:
1. 1/3 pi r^2 h
2. pi r^2 h
3. 1/3 B h
4. lwh
5. Bh
Match the shape with the correct formula for finding the volume :-
SHAPES :-
ConeCylinder Triangular PrismRectangular Prism PyramidFORMULAE :-
[tex] \sf lwh[/tex] [tex] \sf Bh[/tex] [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] [tex] \sf \pi {r}^{2} h[/tex] [tex] \sf \frac{1}{3} Bh[/tex] ____________________Solution :-Given Information :- Shapes Formulae to calculate Volume To Do :-Match the shape with the correct formula for finding the volume. Calculation :-Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________Final Answers :- Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________what is 4/5 of 320 days
Answers
Answer:
256 is the right ama as 4/5*320 is 256
HEYYYY COULD SOME ONE HELP ME PLEASE !!! :)
Answers
Answer:
4²+b² = 5²
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the length of the missing side.
The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Algebraically, this is represented as
a²+b² = c²
We have the measure of one leg, 4 in. We also have the measure of the hypotenuse, 5 in. This gives us
4²+b² = 5²
I hope this helps <3
A construction worker drops a wrench from a height of 484 feel the function
h =
16x
+ 484 gives the height h of the wrench after a seconds When does the wrench hit the ground?
The wrench hits the ground blank
seconds after it is dropped
Answers
Answer:
30.25 seconds
Step-by-step explanation:
If you want to find the time at which the wrench hits the ground, you must recognize that the height of the wrench is 0 feet. If h represents the height, then 0 can be plugged in for h. The equation is now 0=16x+484. You then must subtract 484 from both sides, giving you -484=16x. You then divide both sides by 16 to give you x by itself. -484/16=-30.25. Because this is dealing with time and negative time does not exist, the negative sign on the 30.25 can be neglected.
Would you use the median or mean to describe the center of each data set? Explain your reasoning. Heights of 50 basketball players
Answers
Answer:
Median is used to describe the center of the data of heights of 50 basketball players.
Step-by-step explanation:
The median divides the data into two equal parts.
It can be used to describe the center of the data.
The mean gives the average where most data lies.
The advantages of median are
1)it is located even when the values are not capable of quantitative measurements.
2) It is not affected by extreme values > It can be computed even when a frequency distribution involves open end classes like those of income and prices.
3) In a highly skewed distribution median is appropriate average to use.
The disadvantages of the mean are
1) it is greatly affected by extreme values.
2) It sometimes gives fallacious conclusions.
3) In a highly skewed distribution mean is not an appropriate average to use.
4) It cannot be computed even when a frequency distribution involves open end classes like those of income and prices.
−3.3 ÷ 2.2
Find the quotient. Write your answer as a decimal.
Answers
Answer:
-1.5
Step-by-step explanation:
Factor the numerator and denominators and cancel the common factors.
At a particular time of a day, a-7-m high flagstaff casts a shadow which is 8.2m long. What is the height the building which cast a shadow 20.5m in length that the same moment
Answers
Answer:
17.5m
Step-by-step explanation:
We solve using the formula
Height /Shadow
Height of flag staff = 7m
Shadow of flag staff = 8.2 m
Height of the building = x
Shadow of the building = 20.5
= 7/8.2 = x/20.5
Cross Multiply
8.2x = 7 × 20.5
x = 7 × 20.5/8.2
x = 143.5 / 8.2
x = 17.5m
The height of the building is 17.5 m
Find the image of the point under a
dilation centered at (0,0) with the given
scale factor.
(-4,7)
Scale Factor = 0.2
([?], []).
Answers
Answer:-.8,1.4
Step-by-step explanation:Had this question on my exam hope I helped:))
1. Solve for x
4x + 7 - 3 = 4x + 2x - 3
2. Solve for x
2+5x-2x=9x+8x - 4
3. Solve for m.
3+ 4m - 2 + 2m = 5 + 6 - 3m
Answers
Step-by-step explanation:
4x+4=6x-3
4=2x-3
7=2x
x=3,5
3x+2=17x-4
2=14x-4
6=14x
x=3/7
6m+1=-3m+11
9m+1=11
9m= 10
m=10/9