Answer:
Step-by-step explanation: Speed is distance an object travelled per unit time.
It is represented by letter v and can assume various units.
1) [tex]v=\frac{distance}{time}=\frac{d}{t}[/tex]
[tex]v=\frac{90}{5}[/tex]
v = 18 miles per hour
Her average speed is 18 mph.
2) Rearraging formula for distance:
d = v.t
d = 70 * 4
d = 280 miles
You would travel 280 miles.
3) [tex]v=\frac{d}{t}[/tex]
[tex]v=\frac{315}{6}[/tex]
v = 52.5 mph
My average speed is 52.5 mph.
4) Rearranging formula to determine time:
[tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{210}{90}[/tex]
t = 2.34 hours
It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.
5) The unit change but the way of calculating time is the same.
[tex]t=\frac{2000}{4}[/tex]
t = 500 s
or t = 8.34 minutes
It will take, for an athlete to run 2000m, 8.34 minutes.
6) a) All units must match, so for a speed in mph:
45 minutes is 0.75 hours. Total time is 8.75 hours.
[tex]v=\frac{420}{8.75}[/tex]
v = 560 mph
The average speed is 560 mph.
b) [tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{420}{63}[/tex]
t = 6.67 hours
Sam will take 6.67 hours to covered the distance.
Solve for "T" in the following formula: P= NRT/V
Answer:
T = PV / NR
Step-by-step explanation:
Substitute the given values into the formula, and solve for the unknown variable.
A = bh; A = 11, h = 11
Answer:
b=0
Step-by-step explanation:
A=bh
11=b11
11-11=b-11
0=b
if a trip takes 40 minutes when you travel 50 mph how many minutes would it take if you travel 40 mph
Answer:
Step-by-step explanation:
40 minutes × (50 miles)/(60 minutes) = 100/3 miles
100/3 miles × (60 minutes)/(40 miles) = 50 minutes
Answer:
calcualotro or mayo
Step-by-step explanation:
Expand
(2x + 7)(x - 5)
Answer:
[tex]2x^{2}[/tex]- 3x - 35
Step-by-step explanation:
(2x + 7)(x - 5) = [tex]2x^{2}[/tex] - 10x + 7x - 35 = [tex]2x^{2}[/tex]- 3x - 35
To expand multiply each tern in one set of parenthesis by each term in the other set:
(2x+7) (x-5)
Set up each multiplication:
2x*x + 2x*-5 + 7*x + 7*-5
Simplify:
2x^2 -10x +7x -35
Combine like terms:
2x^2-3x-35
Simplify.
34x−7+2(x−2)
Answer:36x-11
Step-by-step explanation:
Answer: 36x-11
34x-7+2(x-2)
34x-7+2x-4
36x-11
Step-by-step explanation:
calcule:(-2)⁰+(-2)¹+(-2)²+(-2)³
por favor
Answer:
-5
Step-by-step explanation:
-4.5=a-8
Pleaseeee help
Answer:
A=3.5
Step-by-step explanation:
Add 8 to both sides to get A by itself and A=3.5
Answer:
a=3.5
Step-by-step explanation:
-4.5=a-8
-4.5+8=a
a=3.5
Veronica spent 3/4 hour reading each day for 7 days. In all, how much time did she spend reading?
Answer:
21/4 or 5 and 1/4 hours
Step-by-step explanation:
3/4 times 7 or 7/1
2. The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 750F water, how long will it take an ice cube of the same size to melt in 800F water?
Answer:
21 mins
Step-by-step explanation:
9+10=21
Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)
Answer:
[tex]2x^2-6[/tex]
Step-by-step explanation:
If a quadratic equation has a root at a certain point, the x value must equal. zero. If we want to have the function reach 6 and -6 as roots:
x = 6
x - 6 = 0
x = -6
x + 6 = 0
Combining the two we get (x+6)(x-6) which will give us a quadratic equation.
Expanding: [tex]x^2-6x+6x-6 = x^2-6[/tex]
The leading coefficient is the number before the variable with the highest power, which is 2: [tex]2x^2-6[/tex]
Simplify the expression below.
5(7x+4y+1)+2(8x+3y+6)
help plz!
Answer:
51x+26y+17
Step-by-step explanation:
Answer:
51x + 26y + 17
Step-by-step explanation:
distribute
5(7x) + 5(4y) + 5(1) + 2(8x) + 2(3y) + 2(6)
35x + 20y + 5 + 16x + 6y + 12
51x + 26y + 17
A drum has a diameter of 26 inches and is 15 inches deep. Find the volume of this drum.
Answer: 7964.97 in³
Step-by-step explanation:
A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:
Volume = πr²h
where π = 3.142
r = Diameter/ 2 = 26/2 = 13
h = 15
Volume = πr²h
= 3.142 × 13² × 15
= 3.142 × 169 × 15
= 7964.97 in³
Consider the system of linear equations shown here. x – 4y = -8 y = -X – 3 What is the solution to this system? How do you know?
Answer:
x = -4
y = 1
Step-by-step explanation:
For the "How do you know?" part, substitute the x and y values into one the original equations and check to see if it's true
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
How are these three numbers related. 50 1/2, 1/4, 202
Answer: If you divide 202/4=50.5 or 50 1/2
Step-by-step explanation:
I need question 4 and 5
Answer:
4) x=14
Step-by-step explanation:
multiply the area by 2 to get 140then devide by 10 to find x
Need quickly please help!
=======================================================
Work Shown:
We use the intersecting chords theorem
(AH)*(HG) = (FH)*(HB)
(x-2)*(x+7) = (2x-1)*(4)
x*(x+7) - 2(x+7) = 4(2x-1)
x^2+7x - 2x - 14 = 8x - 4
x^2 + 7x - 2x - 14 - 8x + 4 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x-5 = 0 or x+2 = 0
x = 5 or x = -2
If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2
If x = 5, then we find the following lengths
AH = x-2 = 5-2 = 3HG = x+7 = 5+7 = 12FH = 2x-1 = 2*5-1 = 9Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.
Un avión dispone de 24 asientos en clase A y de 62 asientos en clase B cuya venta supone un total de $15,390. Sin embargo, sólo sea han vendido 10 asientos en clase A y 40 en clase B, obteniendo un total de $8,750.
¿Cuál es precio de un asiento en cada clase? Ayuda por favor!!
Answer:HOLA I Do not speack spanish
Step-by-step explanation:
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Answer:
30 kilometers
Step-by-step explanation:
According to the Oxnard College Student Success Committee report in the previous year, we believe that 25% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class. For this year, you would like to obtain a new sample to estimate the proportiton of all Oxnard students who struggle in their classes because they don't study enough outside of the classrooms. You would like to be 99% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required? Do not round mid-calculation
Answer:
sdfghj
Step-by-step explanation:
Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation
Answer:
16 is the answer
I hope this answer help you
Answer:
Subtract 4 1st
Step-by-step explanation:
Subtract 4 of the cars since he gave them to his brother then divide between 4
An arithmetic sequence has the following properties:
The sum of its 18 term and 4th term is 29
1) The sum of its oth and 8th terms is 74
Find a formula for the nth term T of this sequence.
Answer:
Easy peasy
Step-by-step explanation:
7+(n-1)5
A classroom has a presentation system that consists of four components, each of which must activate if the system is to work adequately. The first component has a reliability of 0.97, the second component has a reliability of 0.99, the third component has a reliability of 0.97, and the fourth component has a reliability of 0.93. What is the overall system reliability
Answer:
0.87
Step-by-step explanation:
According to the scenario, computation of given data are as follows,
As, each must be activated, this shows that components are in series.
So, we can calculate reliability of system by using following formula,
System reliability with components in series = System reliability 1 × System reliability 2 × System reliability 3 × System reliability 4
So, overall system reliability = 0.97 × 0.99 × 0.97 × 0.93
overall system reliability = 0.866 or 0.87
in a lottery, players must match five numbers plus a bonus number. five white balls are chosen from 59 white balls numbered from 1 to 59, and one red ball (the bonus number) is chosen from 35 red balls numbered 1 to 5. how many different results are possible?
How much simple interest would $1,000 earn in 275 days at an Interest rate of 4.21%
when the denominators are the same, the fraction with the _____ is the largest fraction
Bigger numerator
Means bigger fraction
When the denominators are the same, the fraction with the bigger numerator is the largest fraction .
What is the fraction?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.
Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedPlease help someone
Answer:
A.
Step-by-step explanation:
because a right angle was the same legnth as that figure and also you can make a L so its A
If the exchange rate of US dollar to Naira is 1:70, what's the value of $1.50 in Naira?
Answer:
$1.50 is 105 Naira
Step-by-step explanation:
If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...
1.5 x 70 = 105 (Naira)
Answer:
105 Naira
Step-by-step explanation:
Please see the attached image.
I hope this helps!
A person has 30 Rap songs, 25 R&B songs, 30 Alternative songs, 22 Pop songs, 15 Country songs, and 28 Hip Hop songs stored on an MP3 player (a total of 150 songs). If the person set the MP3 player to random shuffle, what are the odds of the first song being played being a Country song?
A) .1
B) .2
C) .3
D) .4
Answer:
10% or 1/10 chance
Step-by-step explanation:
The chances of playing a country song first try is 15/150 or 1/10. There is a 10% chance of playing a country song on the first try.