Complete Question
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Part A
Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.
Part B
The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?
Answer:
[tex]p=4A-140[/tex]
[tex]T =or 62sec[/tex]
Step-by-step explanation:
From the question we are told that
The width of the field is seventy yards shorter than the length.
a) Generally the equation for width and length is given as
[tex]B=x-70[/tex]
Mathematically in finding the perimeter [tex]p[/tex] around the field
[tex]p=2(A+B)[/tex]
[tex]p=2(2A-70)[/tex]
[tex]p=4A-140[/tex]
b)Generally[tex]A=120[/tex]
Mathematically
[tex]p= 4(120) -140[/tex]
[tex]p=480-140[/tex]
[tex]p= 340[/tex]
Therefore
Yards ran by individual athlete[tex]Y[/tex]
[tex]340*5=1700\\Y=1700[/tex]
Time elapsed in a lap T
[tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]
[tex]T =or \hspace 662sec[/tex]
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
Solve for x in the equation x2 + 20x+100= 36.
Answer:
-16, -4
Step-by-step explanation:
x² +20x +100 -36 = 0
x² +20x +64 = 0
x² -Sx +P =0, where S= sum of roots, P=product of roots
so what 2 numbers have
S= -20 and P = 64 , ...that ul be -4, -16
or you can use factoring:
( x+16) ( x+4) = 0
x+16 = 0 , x= -16
x+4 =0, x = -4
or you can do quadratic equation, or graph ...
Answer: The Answer is:
Fraction form: x= -32/11
Decimal form: x= -2.90909....
Step-by-step explanation:
1. Add similar elements: 2x+20x=22x
22x+100=36
2. Subtract 100 from both sides:
22x+100-100=36-100
3. Simplify:
22x=-64
4. Divide both sides by 22:
22x÷22=-64÷22
5. Your Answer:
x= -32/11
Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above
Answer:
Humans living in highly populated areas are more inclined to violence.
Answer:
A. Violence
Step-by-step explanation:
got it right, hope this helps!
b. Betelgeuse
d. Sirius
2. Which star has a surface temperature most similar to the surface temperature of Alpha Centauri?
a Polaris
c. Procyon B
b. Betelgeuse
d. Sirius
Help me plz
Answer:
I think A..............
The temperature of the radiating layers of a star at which its continuous spectrum is produced is known as surface temperature of star.
Polaris star has a surface temperature most similar to the surface temperature of Alpha Centauri.Betelgeuse and Proxima Centauri have the same surface temperature .Sun has highest luminosity.Blue Giants type of star has a high temperature and a high luminosity.Learn more:
https://brainly.com/question/17717852
someone please help
9514 1404 393
Answer:
{0, 1, 2, 3}
Step-by-step explanation:
The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.
The domain is {0, 1, 2, 3}.
Solve for x.
15
20
Х
12
X=
Enter the number that belongs in the green box.
= [?]
Enter
Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,
[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]
Cross Multiply the expression
[tex]\:20\times x=12\times 15[/tex]
Divide both sides by 20
[tex]\frac{20x }{20}=\frac{180}{20}[/tex]
[tex]x=9[/tex]
Therefore, the value of x = 9
Please help !!
[90 points if correct]
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
1)
Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years
Sum = principal = p
Using the relation :
A = p(1 + rt)
2400 = p(1 + 0.06(1.5))
2400 = p(1 + 0.09)
2400 = p(1.09)
p = 2400 / 1.09
p = 2201.8348
2.)
12000 amount to 15600 at 10% simple interest
A = p(1 + rt)
15600 = 12000(1 + 0.1t)
15600 = 12000 + 1200t
15600 - 12000 = 1200t
3600 = 1200t
t = 3600 / 1200
t = 3 years
3.)
A = p(1 + rt)
x = p(1 + x/100 * 1/x)
x = p(1 + x /100x)
x = p(1 + 1 / 100)
x = p(1 + 0.01)
x = p(1.01)
x / 1.01 = p
x / (1 + 0.01)
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
Hope this helps! (:
If QS and TƯ
are parallel lines and
m
55°, what is m
Answer:
m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.
hmu if u want me to tutor you! im a very good tutor and my fee is 50 cents per hour and every homework or test question is a dollar per page :)
Step-by-step explanation:
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
Answer:
Solution in photo
Step-by-step explanation:
in the recent year, 51.9 billion cans were recycled. About how many cans per this week
Graph y < x and y ≥ 4x + 2
Answer:
Image is attached.
Step-by-step explanation:
Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.
Evaluate −6 − (−2). (1 point)
A.−4
B.−8
C.4
D.12
Answer:
A. -4
Step-by-step explanation:
−6 − (−2) = -6 + 2
= -4
Hope this helped :)
WILL GIVE BRAINELIEST ( dont know how to spell it lol)
Temperature can be measured in degrees Celsius (°C). A temperature of 0°C is the freezing point of water. Which statements are true?
Select all correct answers.
A temperature of 10°C is colder than –12°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
A temperature of –16°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A half degree above the freezing point is a negative number.
A half degree above the freezing point is a negative number.
When the temperature is 7° below freezing, the temperature is –7°C.
Answer:
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –8°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
How many albums are in Sal’s collection?
Answer:
too hard!! (jkk)
Step-by-step explanation:
188 albums.
Add all numbers together and you should get 188
Jeremy can row 1 3 of a mile in 1 4 of an hour. What is the unit rate?
Answer:
The unit rate that Jeremy can row is 1.33 miles per hour.
Step-by-step explanation:
Unit rate is defined as the distance over a time period. The distance that Jeremy can row is given and the time period is given.
The distance (miles)=1/3=0.3333333...
time period: 1/4
0.33333/0.25=1.333333
Can somebody help me
Answer:
AB ≈ 3.14 ft
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )
= 8π × [tex]\frac{1}{8}[/tex]
= π
≈ 3.14 ft ( to 2 dec. places )
1. Transform AABC by the formula (x, y) + (x - 2,y - 1) in order to find the
x-coordinate of A'.
Pls
Answer:
Left 2 and down 1
Step-by-step explanation:
What does bc equal ?
Answer:
180
Step-by-step explanation:
Which company has the highest charge per attendee?
Step-by-step explanation:
As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.
So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.
what is the improper fraction of 1 1/8
The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio of their curved surface areas
Answer:
18.852:50.272
Step-by-step explanation:
Step one:
given
The radii of two right circular cylinders are in the ratio 3 : 4
r1= 3
r2= 4
Their heights are in the ratio 1 : 2
h1= 1
h2= 2
Step two:
The expression for the curve surface area is
CSA= 2πrh
CAS1= 2πr1h1
CAS1= 2*3.142*3*1
CAS1= 18.852
CAS2= 2πr2h2
CAS2= 2*3.142*4*2
CAS1= 50.272
The ratio of their curved surface areas
=18.852:50.272
Can someone help me with letter D?
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
HELP
Please
Please
im failing
Answer:
6.9
7.-5
8.-10
Step-by-step explanation:
Round each number to the tenths place.
0.95
0.63
0.555
Please I really need help
Answer:
it would be 1/3
Step-by-step explanation:
Answer: 1/3 chance
Step-by-step explanation:
In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3
A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.
Answer:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Step-by-step explanation:
Given that:
Roses come in a bunch of 12 flowers and
Lilies come in a bunch of 8 flowers
Number of roses ordered is equal to the number of lilies ordered.
Total number of flowers ordered are lesser than 100.
To find:
The possible number of combinations such that equal number of flowers are bought.
Solution:
Here, we need to find the Least Common Multiple.
[tex]12 = \underline{2 \times 2} \times 3[/tex]
[tex]8 = \underline{2 \times 2} \times 2[/tex]
LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]
Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.
i.e.
24, 48, 72, 96 ....
Here, two types of flowers are there.
Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.
48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.
Total possible combinations:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle? Diego pours out 25% of the remaining water. About how many ounces did he pour the second time? Explain your reasoning.
Answer:
34 ounces were in the full bottle , The second time he poured about 7.48 ounces
Step-by-step explanation:
20 times 5 = 100 so,
6.8 times 5 = 34
PART 2
Diego poured out 20% wich is equal to 6.8 and if you subtract both pour's that he did you get 20.4. The you subtract that amount that he had already poured from the total wich gives you 13.6 and 5% of 13.6 is 0.68. Add 0.68 and 6.8 to get 7.48
For every 2 girls in Mr Hegarty's class there are 3 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.
Answer:
2Girls:3Boys
Step-by-step explanation:
gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg
what is the answer to -4-8×+2-15
2b + 9 when b = 3 I Really need help in math
Step-by-step explanation:
=2b+9
=2×3+9
=6+9
=15
hope it helps.