Answer:
4400 yards
Step-by-step explanation:
Many folks remember there are 5280 feet in a mile. Then 2.5 miles is ...
(2.5 mi)(5280 ft/mi) = 13,200 ft
There are 3 feet in a yard, so the number of yards in 2.5 miles is ...
(13,200 ft)/(3 ft/yd) = 4,400 yd
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Of course, this is easier if you remember there are 1760 yards in a mile.
(2.5 mi)(1760 yd/mi) = 4,400 yd
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Additional comment
In general, units conversion is accomplished using conversion factors that have a value of 1. That is, they are a fraction whose numerator and denominator are equal, but expressed in different units. The units of the conversion factor are chosen to cancel the units you don't want and leave a result in units you do want.
[tex]2.5\text{ mi}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ yd}}{3\text{ ft}}=\dfrac{2.5\times5280\text{ mi$\cdot$ft$\cdot$yd}}{3\text{ mi$\cdot$ft}}=\dfrac{13200}{3}\text{ yd=\boxed{4400\text{ yd}}}[/tex]
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You might remember there are 1760 yards in a mile, because a typical high-school oblong running track is 440 yards, or 1/4 mile.
Answer:
[tex]4400\ yards[/tex]
Step-by-step explanation:
Step 1: Convert miles to yards
[tex]1\ mile = 1760\ yards[/tex]
Since we know that 1 mile is equal to 1760 yards we can just multiply our 2.5 miles by 1760 which would cancel out miles and leave us with yards.
[tex]2.5\ miles * \frac{1760\ yards}{mile}[/tex]
[tex]4400\ yards[/tex]
Answer: [tex]4400\ yards[/tex]
The radius of a circle is 12 cm. Select ALL correct statements.
Answer:
B) 3.14(144)
D) 2(3.14)(12)
E) 3.14(24)
Step-by-step explanation:
The formula to find the area of a circle is [tex]\pi r^2[/tex], where r = radius, while the formula to find the circumference of a circle is [tex]2\pi r[/tex] or [tex]\pi d[/tex], where r = radius and d = diameter.
Given the information above, option B) is a correct statement because 12^2 equals 144, and once you're done solving the square, you multiply it by 3.14. Next, option D) and E) are correct, too, because they exactly follow [tex]2\pi r[/tex] and [tex]\pi d[/tex]. Furthermore, for E), diameter = twice the radius, so it makes sense to multiply 3.14 by 24.
One pencil weigh fifteen grams. What is the weight of eight pencils?
Answer:
120 grams
if they are all the same size
How many solutions does the system of equations graphed below have?
Step-by-step explanation:
The two lines intersect at one point so the system has exact same solution (one solution )
The two triangles are similar. What is the value of x? Enter your answer in the box. X =.
The value of x is 7 in both similar triangles.
How do you calculate the value of x?Given that the two triangles are similar. The attachment shows the triangles.
[tex]\Delta MNP[/tex] is equivalent to [tex]\Delta OPR[/tex]. Also, [tex]\angle MPN[/tex] is equal to [tex]\angle OPR[/tex] and both are right angles. Also given that,
NO = 6, NP = 8, MP = 2x-2, PR = 3x
Thus, OP = NO + NP
OP = 6+8= 14
As per the AA postulate of similarity theorem of triangles, the corresponding sides will be equal.
[tex]\dfrac {OP}{NP} = \dfrac {PR}{MP} =\dfrac {OR}{MN}[/tex]
We take the two sides,
[tex]\dfrac {OP}{NP} = \dfrac {PR}{MP}[/tex]
[tex]\dfrac {14}{8} = \dfrac {3x}{2x-2}[/tex]
[tex]28x-28 = 24x[/tex]
[tex]4x = 28[/tex]
[tex]x = 7[/tex]
Hence we can conclude that the value of x is 7.
To know more about the AA postulate of similarity theorem, follow the link given below.
https://brainly.com/question/2820198?referrer=searchResults
A shop rents boats for a $10.00 initial fee plus an hourly rate of $5.50. Complete the equation in slope intercept form for the scenario.
( a)y =
(b) How many hours can you rent a boat for if you have $65?
Harry has five a1 bills, three $ 10 bills, and
two $20 bills in her wallet. She picks two
bills at random. What is the probability of
her picking the two &20 bills? Write your
answer as a fraction.
Answer:
[tex]\frac{1}{45}[/tex] chance to grab both $20 bills
Step-by-step explanation:
There are ten bills in total.
The probability that the first dollar she picks is a twenty-dollar bill is 2/10 because she can pick either of the two twenty-dollar bills out of the ten in her wallet. Next, we need to pick the second bill. There are nine bills left, and only one is a twenty-dollar bill. The probability of choosing a second dollar bill is 1/9.
(2/10)*(1/9)=2/90=1/45
PLEASE HELP!!!
will mark brainliest:)))
A cylinder has a volume of 72 cubic inches.
What is the volume of a cone with the same height
and radius as the cylinder? Explain.
Answer:
24
Step-by-step explanation:
because it is 24 radius
Three students each hold basketballs with the same masses at varying heights. One basketball is held 2 feet above the ground. Another is held 3 feet above the ground. A third is held 4 feet above the ground. Which basketball has the least gravitational potential energy? the basketball 2 feet above the ground the basketball 3 feet above the ground the basketball 4 feet above the ground All three basketballs have the same gravitational potential energy.
Answer:
The basketball that is 2 feet off the ground
Step-by-step explanation:
It is the closest to the floor and therefore has the least gravitational potential energy.
I need HELP please I don't get how to do this and I only have a little time to do it!!!
For a transition up you would add the number of h it’s of the transition to the y value and keep the x value the same
the transition would be (6, -5 + 1) = (6,-4)
draw the point at (6,-4) which would be one line above where the dot is now.
Can somone help me this with sorry for the repost btw. Find the value of x
Angle beside 60°
180-60=120°Now
Sum of interior angles=exterior angle
35+120=xx=155°Another question!
Solve the equation 12 - 2(3H) = -18 for H
Answer:
H is gonna be equivalent to 5
The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about
1.26%.
a. Find the growth factor for the world population.
What is c-(-3)=15 find the number for C
Answer:
I think that is 45 b/c I am learning now that f(×)=6 like this c=15×3, c=45
What is the answer for this 21e+35?
The answer is 21e + 35
Because there is not any value given
or
there should be like this:
21e + 35 = 161
21e = 161 - 35
e = 126 / 21
e = 6
If there is not like above example then the answer is 21e + 35
Evaluate the expression when b=2
b·5
Answer:
10
Step-by-step explanation:
If b = 2, then b*5 = 10
Please i need help with this, it’s due today!! It also says I can only solve it in numerical values!! Pls
Answer:
The initial value of all linear functions that show a proportional relationship is 0. If it is a proportional linear relationship the origin of the function is at (0,0).
there is like 2 more coming
Answer:
28cm
Step-by-step explanation:
To calculate the area of this shape, we need to seperate it into two shapes.
We see that the length of the top shape is 2 CM. Since the top shape is a square, we know it is a 2x2 shape (because two of the other sides are 2cm.) The area of the top shape, the square, can be found by performing the formula for calculating area (length x width). 2 x 2 = 4 (duh, haha). Now, we need to find the area of the bottom shape. Since we're separating them into two shapes, we need to subtract the length of the first shape and this one. 4 x 6 (the area formula) will give us 24. Now, we need to add our two shapes to get the area of the entire shape. 24 cm + 4 cm = 28 cm.
Complete the story so that it can be modeled by the equation x–12=15.
Answer:
27
Step-by-step explanation:
if x-12=15
we add 12 to both sides
x-12+12=15+12
x=15+12
x=27.
Help me on this please I’d appreciate it
Answer:
The hypotenuse would be 87.2
Step-by-step explanation:
We start by plugging in 13 for x for both sides of the triangle.
[tex]5(13)+5 = 70[/tex] and [tex]4(13) = 52[/tex].
Next, we use the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
We plug in 70 for a and 52 for b
After plugging them in, you get [tex]4900+2704=c^2[/tex]
Now, we add a and b
[tex]7604=c^2[/tex]
Finally, take the sqrt of 7604
c = 87.2009174264, rounded to the nearest tenth is 87.2
Answer:
Hypotenuse = 87.2
Step-by-step explanation:
First find the lengths of the legs given the value of x
Left leg : 5x + 5
x = 13
5(13)+5
65 + 5 = 70
Bottom Leg : 4x
x = 13
4(13) = 52
So we have legs with lengths of 70 and 52 and knowing this we want to find the length of the hypotenuse.
We can do this by using the Pythagorean Theorem : a² + b² = c²
Where a and b = legs and c = hypotenuse
We are given the legs and we want to find the hypotenuse (c)
We can do this by plugging in the values of the legs into the Pythagorean Theorem and solving for c
Pythagorean Theorem : a² + b² = c²
a = 52 and b = 70
52² + 70² = c²
52² = 2704 and 70² = 4900
2704 + 4900 = c²
7604 = c²
take the square root of both sides
√7604 = 87.2 ( rounded to the nearest tenth ) and √c² = c
We're left with c = 87.2
The length of the hypotenuse is 87.2
A pair of slacks that sold for $17.75 is on sale for $14.91. What is the discount rate?
How many positive integers less than 1000 are 6 times the sum of their digits ?.
Only 1, 54.
There are obviously no such 1-digit numbers (1 - 9).
Let n = ab be a 2-digit number whose value is 6 times its digit sum, meaning
n = 10a + b = 6 (a + b)
Then
10a + b = 6a + 6b
4a = 5b
Now, 4 and 5 are coprime, so for equality to hold, a must be a multiple of 5 and b must be a multiple of 4.
The only valid multiple of 5 is 5 itself:
• a = 5 ⇒ 5b = 20 ⇒ b = 4
There are 2 multiples of 4 to check. The first one gives the same result as a = 5.
• b = 8 ⇒ 4a = 40 ⇒ a = 10
but a must be 1-digit.
So among the 2-digit numbers, only 1 such number exists, n = 54.
Let n = abc be a 3-digit number satisfying the criterion. Then
n = 100a + 10b + c = 6(a + b + c)
100a + 10b + c = 6a + 6b + 6c
94a + 4b = 5c
c must be a number from 1-9, which means at most 5c = 5•9 = 45.
If we take the smallest possible values of a and b, we have
94•1 + 4•0 = 94
but the smallest value of 94a + 4b is larger than the largest value of 5c.
So there are no such 3-digit numbers.
Help Please!!
Find a for
(45-a)/13[sin(45-a)/(sin(a)] =a/13
Answer: a = 0.91421
Step-by-step explanation:
Hi! I'm assuming this question is using degrees for sin and not radians, let me know if that's right!
The equation seems a bit weird, but
a is approximately 0.91421
if you go to wolframalpha site, you can plug in this equation to the website and receive an answer !
What is the most accurate way to compute the distance with the velocity graph? Explain please!
Answer:
The area covered by a velocity-time(v-t) graph represents the distance covered by the body.
Simply find the area covered by graph.
If it's not easy to do so, then make different slots to find area, and at last add all of the slots' areas.
I hope it helped you! ;w;
Step-by-step explanation:
Helppp meee. With this math question
4.
12^2x-1 = (V 12)^x
Answer:
Step-by-step explanation:
[tex]12^{2x-1}=(\sqrt[4]{12})^{x}\\\\ 12^{2x-1}= (12^{\frac{1}{4}})^{x}\\\\12^{2x-1}=12^{\frac{1}{4}*x}\\[/tex]
Bases are same. So, compare the exponents.
[tex]2x - 1 =\dfrac{1}{4}x[/tex]
Multiply the entire equation by 4
4*(2x - 1) = x
8x - 4 = x
8x = x + 4
8x -x = 4
7x = 4
x = 4/7
Simplify (5 + 1)^2- (12 + 3^2)= 3.
O A. 5
O B. 29
O c. -39
O D. -63
Answer is False Solution
Step-by-step Explanation -
As per question,
[tex](5 + 1)^2- (12 + 3^2)= 3[/tex]
Now solving,
[tex]↪( {6}^{2} ) + (12 + 9) = 3[/tex]
[tex]↪36 + 21 = 3[/tex]
[tex]↪57≠3[/tex]
[tex]↪False \: Solution[/tex]
Therefore, Answer is not as per given options.
Therefore, it is a FALSE SOLUTION
24) Choose ALL expressions that are equivalent to
3(2x + 1).
A. 6x + 1
B. 6x + 3
C. 2x + 1 + 4x + 2
D. 3x + 4 + 3x - 1
What additional information do you need to prove GHI = DEF?
Step-by-step explanation:
option F HI = EF
hope this helps you!
Answer:
F
Step-by-step explanation:
with HI = EF we have then the SAS criteria fulfilled (side-angle-side, with the angle enclosed by the 2 verified sides).
An Pineview Middle School, two-fifths of the
students are 8th graders. Of these students, seven-
sixteenths are girls. What percent of the students
at Pineview Middle are 8th grade girls?
Answer:
45%
Step-by-step explanation:
2/5 x 7/16 = fractional portion of 8th graders who are girls
= 14/80
80 divided into 14 is .45 which is 45%
A company advertises an investment fund
that will grow your money exponentially. The
equation y = 1000(1.05)* is used to model
how an investment will grow over x amount
of years. Explain what the numbers 1000 and
1.05 mean in this equation.
Answer:Adding 5% interest to an account yearly has the same effect as taking 105% of its current value every year (you're taking all of your money - 100% of it - and adding an extra 5%, getting you 100% + 5% = 105%). This means that, if we started with $1000, after the first year, we'd have
1000(1.05) = $1050
after the second, and third years
1000(1.05)(1.05) = 1000(1.05)² = $1102.50
1000(1.05)(1.05)(1.05) = 1000(1.05)³ ≈ $1157.62
We can see a pattern starting to emerge. The 1000 always stays the same since its our starting value, but the power of the 1.05 goes up by 1 every year. In general, if we call the current value of the account in dollars y and the number of years it's been in the account x, then we can write this pattern generally as
Step-by-step explanation: