Answer:
The answer is 450
Step-by-step explanation:
I got this equation:
x- the speed in which the turtle walks
5x+5(x+10)=4.5x+150+x*(150)/(x+10)
I got x=40, x=-50/11, but you can't have negative speed, so the turtle's speed is 40 meters per hour. After that, I just plugged in x onto one of the expressions and got 450.
By solving a system of equations, we will see that the distance is 383m
How to find the distance between the garden and the woods?Let's define the speeds of the animals as:
St = speed of the turtle.Sh = speed of the hedgehog.We know that if they leave their houses at the same time, they meet after 5 hours, so we have:
(St + Sh)*5h = D
where D is the distance we want to find.
We also know that:
St = Sh - 10m/h
And if the turtle leaves 4.5 hours earlier, they meet at 150m from the woods.
This is written as:
St*9.5h + Sh*5h = D - 150m
So we need to solve a system of equations:
St*9.5h + Sh* = D - 150m
St = Sh - 10m/h
(St + Sh)*5h = D
Replacing the second equation into the other two we get:
(Sh - 10m/h + Sh)*5h = D
(Sh - 10m/h)*9.5h + Sh*T = D - 150m
Now we can find Sh on the second one.
Sh*14.5h = D - 150m + 95m
Sh = (D + 150m + 95m)/14.5h = D/14.5h + 16.9 m/h
Replacing that on the other equation we get:
(2*(16.9m/h + D/14.5h) - 10m/h )*5h = D
118.96m + D*(10/14.5) = D
118.96m = D*(1 - 10/14.5)
D = 118.96m/(1 - 10/14.5) = 383m
The distance is 383m
IF you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
the surface area of earth is about 196.9 million square miles. The land area is about 57.5 million square miles, and the rest is water. What is the probability that a meteorite that reaches the surface of earth will hit land
Answer: 29.2%
Step-by-step explanation:
The total surface area is 196.9 million square miles and out of this, land occupies 57.5 million square miles.
The probability that a meteorite would hit land is the percentage of and out of the entire planet area:
= Land area/ Total earth surface area
= 57.5/ 196.9
= 29.2%
Kahlid wants to buy a board game that costs Rs 501. He has Rs 479. How much more money does he need?
Answer:
Rs 22 more
Step-by-step explanation:
Given
[tex]Game = Rs501[/tex]
[tex]Saved = Rs479[/tex]
Required
The amount needed
The saved amount when added to amount needed (x) must equal to the price of the game
i.e.
[tex]x + Saved = Game[/tex]
Make x the subject
[tex]x = Game - Saved[/tex]
This gives:
[tex]x = Rs501 - Rs479[/tex]
[tex]x = Rs22[/tex]
Can anyone help with this?
Answer:
x=8 and QNR= 63°
Step-by-step explanation:
90+8x-1+27=180
116+8x=180
8x=64
x=8
Answer:
8, m<QNR=63 degrees
Step-by-step explanation:
So, lets go over what we know:
The angle that makes up (8x-1) and 27 degrees is a right angle.
A right angle is 90 degrees.
So, to solve for angle m<QNR and for x, we must subtract and solve using 27 degrees, and (8x-1).
Lets put this into equation form:
(8x-1)+27=90
Lets subtract 27 from both sides to get the (8x-1) alone:
(8x-1)=63.
So lets stop here real quick.
We need to find angle M<QNR. This is (8x-1)
So looking at what we have solved so far, angle M<QNR must be 63 degrees.
Now, lets solve further to find out what x is:
(8x-1)=63
Lets add x to both sides to get 8x alone:
(8x)=64
We dont need the parethese, for they do not have a function, so:
8x=64
Finally, lets divide 8 from both sides so we can make 8x into just x:
x=8
So x is equal to 8.
Overall:
x = 8
Angle m<QNR = 63
Hope this helps! :)
which similarity prove this picture with explanation
Answer:
SAS congruency
Step-by-step explanation:
we are given
EF=DFFA=FD[tex]\angle EFA=\angle DFB[/tex]hence,
[tex] \displaystyle \rm \Delta EFA \cong\Delta DFB \text{ by \: SAS}[/tex]
reference:
the Proof is resource of our textbookHello, someone please help me with this question.
Also, if you can, please check out my other recent question.. I need help on that one too.
Answer:
Ron is because the 7 and the 2 are the inside box while 10 and 12 are the outside, hope this helps :)
Step-by-step explanation:
I need help please...........................
Answer:
Given
f(x) = 4/(x - 2)Find
[f(x + h) - f(x)] / hSolution
[4/(x + h - 2) - 4/(x - 2)]/h = 4/h[(x - 2) - (x + h - 2)]/[(x + h - 2)(x - 2)] =- 4/h*h/[(x + h - 2)(x - 2)] =4/[(x + h - 2)(2 - x)]What is the surface area
Answer:
1190 mm²Step-by-step explanation:
The surface area of a prism is a sum of areas of all of its faces
2×(¹/₂×16×15) + 2×(17×19) + 16×19 =
= 240 + 646 + 304 = 1190 mm²
Annika's class raised $800 by selling $5 and $10 movie gift cards. The class
sold a total of 115 gift cards. How many of each type of card did the class
sell?
Answer:
70 $5 movie gift cards and 45 $10 movie gift cards
Step-by-step explanation:
Melodie wants to plants flowers in a triangular flower garden in the front of her house her garden has a base of 12 feet and a height of 14 feet what is the area of her garden
Answer:
84ft^2
Step-by-step explanation:
Given data
Base= 12feet
Height= 14feet
The expression for the area of a triangle is
Area= 1/2bh
Area= 1/2*12*14
Area= 6*14
Area= 84 ft^2
Hence the area of the triangular garden is 84ft^2
1.
If b is bigger than a, what can you tell me about angle A?
Answer:
a is smaller than b
Step-by-step explanation:
Answer:
a smaller then b that's all I know
......yo yall can have 15 points fa dis one........There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the number of girls, y, can be no more than 5. Which graph represents the system of inequalities for this scenario?
Answer:
The answer is B
The answer is B
Step-by-step explanation:
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
A potential employer offers to pay you a starting salary of $55,000 a year, and guarantees a
$5,000 raise every year for the first 10 years.
How much money would you earn over 10 years if you take the job?
Answer:270,000
Step-by-step explanation:
i think
Find the value of x
find the value of x. ignore writing
Answer:
100
Step-by-step explanation:
cosB = 36/60 = 3/5
cosB = 60/x = 3/5 -> x = 100
A pole that is 2.8 m tall casts a shadow that is 1.67 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building? Round your answer to the nearest meter.
Answer:
Explanation:
3.2
1.14
=
x
44.75
Cross Mutliply:
44.75
⋅
3.2
=
1.14
x
Divide:
143.2
1.14
=
x
You get 125.614 rounded to the nearest meter is 126
Step-by-step explanation:
Answer:
84.75 m
Step-by-step explanation:
2.8 divided by 1.67 = 1.67. so 50.75x1.67=84.75, cuz its rounded
PLEASE HELP ME, I know these are easy but I forgot to do this assignment and now i don't remember how to do any of it.
Answer:
Your answers will be down below;
1. 6
2. 7
3. 9.6
4. 13.2
5. 1.5
6. 2.1
7. 11
8. 3
9. 12
10. 6
11. 6
12. 9
Step-by-step explanation:
I had this assignment before and I will NOT add a step-by-step explanation because I'm currently lazy at this time -.-
But I am 100% sure that these are the answer, like I said I HAD this assignment before. Therefore the answers above are your answers to your assignment. =.=
Mark me brainliest if you can, if not then it's alright. Have a good day! :)
1) Find the Volume
The volume is
cubic inches.
1
5 in.
7 in.
10 in.
Answer: 350 in.3
Step-by-step explanation:
The formula for the volume of a rectangular prism is LWH (Length times width times height), as with all prisms.
Simply plug in the numbers into the formula to get your answer.
V=5*10*7
V=50*7
V=350
Then write the units.
V=350 cubic inches.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 75, 15, 3 find the 6th term
Answer
0.024
Step-by-step explanation:
1-75
2-15
3-3
4-0.6
5-0.12
6-0.024
Find the value of R and S
Answer:
R ≈ 17.7
S ≈ 19.0
Step-by-step explanation:
The angles of the triangle are 90, 43, and 47. Given these we can apply the law of sines.
26/sin(90) = s/sin(43), giving you 17.73195, rounding to 17.7.
26/sin90 = r/sin(47), giving you 19.01519, rounding to 19.0.
Compute the following probabilities. Enter decimal value. Round to 2 decimal places.
P(boy and he likes swimming) =
Answer:
0.26
Step-by-step explanation:
8/50. 8
———— =. ——— = 0.26
30/50. 30
I need help lol ,forgot how to do this
Answer: i don get it
Step-by-step explanation:
Answer:
8.1
Step-by-step explanation:
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place,
S = 4LW + 2WH; S=120, L=8, W=3. (Surface area of a special rectangular box)
Answer:
4
Step-by-step explanation:
120 = 4 *8 * 3 + 2 * 3 H
120 = 96 + 6 H
6H = 24
H = 4
19 Wanda listed these facts about parallelograms, - Opposite angles are equal to each other. • Adjacent sides may have different lengths. • There are exactly two sets of parallel sides, - Both pairs of opposite sides have the same leven which fact must also be true? in a rhombus, opposite angles are equal to each other. B in a rhombus, adjacent sides may have different lervius In a trapezoid, there are exactly two sets of parallel sides, D in a trapezoid, both pairs of opposite sides have the same length.
Answer:
it is d becaes it
Step-by-step explanation:
sdtgdffjkd
Jada saw a music video that her favorite artist recently posted online. The equation v(t) = 425 (5)^t represents the number of views, v of the video, t days since Jada saw the video.
Find v(-2). Show your work.
Answer:
The result to v(-2) taking into account the given equation is:
17 views.Step-by-step explanation:
To obtain the result to v(-2), you must understand that v(-2) means the number of views that the video had two days before Jada saw the video. Then, using the equation:
v(t) = 425 * (5)^tAnd replacing it we have:
v(-2) = 425 * (5)^(-2)v(-2) = 425 * 0.04v(-2) = 17As you can see with the calculations, the number of views of the video two days before Jada saw it were 17.
You might need: Calculator A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?
Answer:
3.6 meters
Step-by-step explanation:
18/10 x 2 = 3.6
so, 18 centimeters represents 3.6 meters
What is the interquartile range of the data set 115, 98, 118, 102, 96, 90, 125, 94, 85, 100, 104
Answer:
21
Step-by-step explanation:
1. Re-order numbers from low to high
85, 90, 94, 96, 98, 100, 102, 104, 115, 118, 125
2. Find Q1 and Q3: they are the middle number of top and bottom half of the data
Q1 is 94, Q3 is 115
3. Find IQR
IQR = Q3 - Q1 = 115 - 94 = 21
Choose the equation that satisfies the data in the table
Answer:
i think it's C but i'm not sure
Step-by-step explanation:
14.10.2 Test (CST): Linear Equations Question 18 of 30 What is the y-coordinate of the plotted point? 16 Answer here < PREVIOUS
Answer:
I can't see the plotted point to answer the question
The standard form of a coordinate in the 2D plane is (x, y), we may express the y-coordinate of the given location as 4.
What is a Cartesian coordinate system?A cartesian coordinate system uses a set of three perpendicular lines from the x, y, and z axes, which are three mutually perpendicular axes, to describe the coordinate points.
We can represent a point in the cartesian coordinate system as (x, y, z).
There are three different types of cartesian coordinate systems: one-, two-, and three-dimensional.
The cylindrical and spherical coordinate systems are two other types of coordinate systems in addition to the cartesian system.
Find the value of the plotted point's y-coordinate using the information provided.
It is at latitude and longitude (2, 4). The "y" coordinate of the provided location can be written as "4". This is because the generic form of the coordinate in the two-dimensional plane is known to be represented by (x, y).
Since the standard form of a coordinate in the 2D plane is (x, y), we may express the y-coordinate of the given location as 4.
To solve more questions on coordinate points, visit the link-
brainly.com/question/26757498
#SPJ7
can someone help me im literally so confused
Answer: 65536a^4 b^2
Step-by-step explanation:
A number cube is rolled. Find the Probability. (4 or 5)
Answer: 2/6 or 33%
Step-by-step explanation: Hope this helps <3