Lauren's science class is taking a field trip to the nearest natural history museum. The museum is 62.5 miles from Lauren's school. The class plans to stop after 30 minutes, or 0.5 hours, to visit a local wildlife refuge. The bus driver plans to drive at an average speed of 50 miles per hour. How many hours will the second part of the trip take?
Write your answer as a whole number or a decimal.
The second part of the trip lasted 0.54 hours
Average speed is the ratio of total distance travelled to total time taken. It is given by:
Average speed = total distance / total time
Since the total distance is 62.5 miles and the average speed is 50 miles per hour, hence:
Average speed = total distance / total time
60 = 62.5 / total time
Total time = 25/24 hours
The first part of the journey takes 0.5 hours, hence:
Time for second part = 25/24 - 0.5 = 0.54 hours
Therefore the second part of the trip lasted 0.54 hours
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Answer:0.75
Step-by-step explanation:
the verified dude was wrong
(ASAP) I REALLY HAVE TO GET MY GRADE UP PLSS HELP
Answer:
I don't understand what it is asking
It helps, I just need the 4 and 5
What is the y-intercept of this line:
7(2x - 3y) = 28
Answer:
14
Step-by-step explanation:
please can i have the crown?
HELPP!!!!!!!
Write in mx+b format.
Answer:
y=3x+4
Step-by-step explanation:
\sqrt{ 6+2 \sqrt{ 5 \phantom{\tiny{!}}} \phantom{\tiny{!}}} + \sqrt{ { \left(3+ \sqrt{ 5 \phantom{\tiny{!}}} \right) }^{ 2 } \phantom{\tiny{!}}}
Answer:
17sqrt(13)
Step-by-step explanation:
PLEASE HELP !!
Is ( − 3) a factor of x^3 + 3^2 − 10x − 30
The answer of x^3+3^2-10x-30 is - 18
Three concert tickets cost $120. At this rate, what is the cost per ticket?
Answer: The answer is $40 per ticket.
Step-by-step explanation: Divide 120 by 3 to get 40. Hope this helps!
Answer:
$40
Step-by-step explanation:
3 tickets cost : 120
1 ticket cost : 120 ÷ 3
= 40
Steps for 8 (-3d + 2) =88
Hi how u doin ?
[tex]8( - 3d + 2) = 88[/tex]
Let's see what we got here ....
First of all Divide both sides by 8
[tex] \frac{8( - 3d + 2)}{8} = \frac{88}{8} \\ [/tex]
Simplification
[tex] - 3d + 2 = 11[/tex]
Subtract both sides 2
[tex] - 3d + 2 - 2 = 11 - 2[/tex]
[tex] - 3d = 9[/tex]
Divide both sides by - 3
[tex] \frac{ - 3d}{ - 3} = \frac{9}{ - 3} \\ [/tex]
Simplification
[tex]d = - 3[/tex]
And we're done...
Don't have a good day , Have a great day ❤
What is the measure of angle LPM if angle QPN=36 ?
George baked a cake to share with his family. Jenny ate of
the cake and Brett ate ſ of the cake. How much of the cake did
Jenny and Brett eat in all?
Answer:
he naja
Step-by-step explanation:
ate as mjuchas my othjer would
3/8÷4 what is the answer
A car going 60 m/h accelerated to pass a truck. 5 seconds later it is going 75 m/h. What is the car’s acceleration?
Answer:
78
Step-by-step explanation:
I just answered that question and I got a 100 on the test
East High School had a total of 12,510 people in
attendance during their 15-game soccer season. West
High School had a total of 14,310 people for 18 games.
On average, which school had a greater number of
people watching per game? How much greater?
On average East high school had a greater number of people watching per game that is, 834 > 795.
What do we mean by average?An average, which is frequently the sum of the numbers divided by the total number of the numbers in the group, is a single number that is selected to describe a group of numbers in simple English.For example, the average of the numbers 2, 3, 4, 7, and 9 is 5.The ratio obtained by dividing the total number of figures in a set by the total number of figures is known as the average.An average test score of 85 could represent the simple average or a result that lies halfway between two extremes.So, schools with a greater number of people matching the match per game:
Each high school:
12510/15834West high school:
14310/18795So, 834 > 795 which means Each high school > West high school.
Therefore, on average East high school had a greater number of people watching per game that is, 834 > 795.
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Question 19 (03.06 LC)
Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2. (1 point)
y - 4 = 1/2(x +1)
y + 4 = 2(x - 1)
y + 4 = 1/2(x - 1)
y - 4 = 2(x + 1)
Answer: y + 4 = 1/2(x - 1)
Step-by-step explanation:
The form of a straight line quation is y=mx+b, where m is the slope [(1/2) in this case] and b is the y-intercept (the value of y when x=0). We can already eliminate two of the options (2nd and 4th) since those slopes are 2.
To decide between y - 4 = 1/2(x +1) and y + 4 = 1/2(x - 1), we can see which equation is true for the point (1,-4):
Does y - 4 = 1/2(x +1) work for (1,-4)? [i.e., will y = -4 when x=1?]
y-4 = 1/2(1+1)?
y = 5 NO
-----------------------------
Does y + 4 = 1/2(x - 1) work for (1,-4)? [i.e., will y = -4 when x=1?]
y+4 = 1/2(1-1)
y = -4 YES
The equation is y + 4 = 1/2(x - 1)
what is the answer for 2m+6m=32
Answer:
m=4
Step-by-step explanation:
2m+6m = 8m
8m=32
m=32/8
m=4
PLEASE HELP!! thank you :)
Find the values for x and y that make triangle GHM = triangle MPG by SSS.
Answer: x=9 y=13
Step-by-step explanation:
algebra nation said so
9/4 divided by 3/8 with quotient
Answer:hey hunny boo it’s 61!✨ hope I helped :)
Step-by-step explanation:
The quotient of the given fractions is 6.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, 9/4 divided by 3/8.
When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction reversing its numerator and denominator is the first step in dividing fractions. Multiply the two numerators after that. Multiply the two denominators after that.
Here, 9/4 ÷ 3/8
= 9/4 × 8/3
= 3 × 2
= 6
Therefore, the quotient is 6.
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Multiply the side length by 3.
3(d+ 5)
Answer:
3. Square ABCD has an area of 144 square units, so its side length is 12. Length DL is 5, so triangle ADL is a 5-12-13 triangle as the Pythagorean Theorem.
Answer:
3d+15
Step-by-step explanation:
You would have to do distributive property. 3*d+3*5=3d+15
help ASAPPPPPPPPPP find the value of x
Answer:Variblw
Step-by-step explanation:Easy
Which expression is equivalent to (12 + 5) – (14 ÷ 7)²
A] 5 + 15 ÷ (3 + 2)²
B] 2 × (9 × 5 + 3²) + 4
C] 7 + 10 × 5 + 10
D] 5 • 6 + 1 – (10 + 8)
Answer:
bro its d
Step-by-step explanation:
the math
5 • 6 + 1 = 31
31 - (10+8 or 18) = 13 and
(12 + 5) – (14÷ 7)² = 13
17 – 2 = 13
What is the slope of the line tangent to the graph of y= (x^2 -2)/(x^2 + 1) when x =1
Step-by-step explanation:
first find the derivative and then substitute x=1
d/dx((x^2 -2)/(x^2 + 1)) = (2*x)/(1+x^2)+(4*x)/(1+(2*x^2)+x^4)+(-2*x^3)/(1+(2*x^2)+x^4)
substitute x=1
check the image above
slope = 1.5
The slope of the line tangent when x = 1 is 1.5.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
y = (x² - 2)/(x² + 1)
y' = [(x² + 1)(2x) - (x² - 2)(2x)] / (x² + 1)²
Put x = 1
dy/dx = [(1² + 1)(2) - (1² - 2)(2)] / (1² + 1)²
dy/dx = (4 + 2)/4
dy/dx = 6/4 = 3/2 = 1.5
Thus,
The slope is 1.5.
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What's the difference between linear equations and algebra?
Answer:
So, Linear equations is the branch of algebra which deals with equality based equations with the infinite number of variables (highest index of any variable is one.)
Whereas, algebra is the branch of mathematics which deals with the variables, constants and the relationship between them
Step-by-step explanation:
An internet sales site deducts a 5% fee from the sale price of all items. A seller received $27.45 for an item after the fee was deducted. What was the sale price of the item?
Answer:
68
Step-by-step explanation:
27.5 times am/2 the constant of fee's theroem to get the 5 percent fee.
Multiple by 20(20*5=100) to get 68
Show that 4 1/5 times 2 3/7 = 10 1/5
Answer:
4 1/5= 21/5
2 3/7= 17/7
21/5×17/7= 357/35
357/35= 10 1/5
Step-by-step explanation:
Recommendations
Eighth grade
D.5 Identify rational and irrational numb
Is 2.684 an irrational number?
Answer:
It IS a rational number
Step-by-step explanation:
Write the transformation rule that transforms ABC into the triangle below it
Answer:
It looks like its being reflected across y = x, so the rule would be
(x, y) —> (y, x)
i am completely new to algebra and quadratic equations please help me i cannot understand a single thing
Answer:
well in algebra we work with slope. we do other things but you use this the most.
Step-by-step explanation:
the equation for slope is y=mx+b. mx is the slope and b is the y-intercept. example: y=2x+6. the slope is 2 and the y-intercept is 6.
1. A = {1,2} B {3,4,5,6} then n(A)+n(B) = ?
2. The symbol ⇛means____.
3. A = ø, B = ø then AUB =
4. AUB = BUA is called_____law.
5. Cordinal number of Null set is _____.
6. If AUB = then _____.
7. If A = {1,2,3,4}, B = {2,4,6,8}, then A-B =____.
8. If n(AUB) = 8, n(A) = 6, n(B) = 4 then n(A∩B) _____.
Explanation:-
★(i).
A = { 1,2}
⇛ n (A ) = 2
B = { 3,4,5,6}
⇛ n (B) = 4
n(A)+n(B) = 2+4 = 6
★(ii).
The symbol ⇛ means Implies
★(iii).
A = Phi = {}
B = phi = {}
AUB = { } U { } = { }
AUB = phi = { }
(iv).
AUB = BUA is called Commutative law in sets uner union .
★(v).
Null set = Void set = Empty set = { }
Number of elements in the empty set = 0
⇛ Cardinal number of null set is zero (0)
★(vi). If AUB = B then B is the super set and A is the sub set of B
★(vii). A = { 1,2,3,4}
B = {2,4,6,8}
A-B = {1,2,3,4} - { 2,4,6,8}
=> A-B = { 1,3}
★(viii). n(AUB) = 8
n(A) = 6
n(B) = 4
We know that
n(AnB) = n(A)+n(B)-n(AUB)
⇛ n(AnB) = 6+4-8
⇛n(AnB) = 10-8
⇛ n(AnB) = 2
or n(AUB)+n(AnB) = n(A)+n(B)
⇛ 8+ n(AnB) = 6+4
⇛ 8+ n(AnB) =10
⇛ n(AnB) = 10-8
⇛ n(AnB) = 2
Therefore, n(AnB) = 2