Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
Equations
#1: Tell whether the function below is linear or exponential.
1 pc
y = 3x - 7
It’s it a linear or exponential
Answer:exponential
Step-by-step explanation:
The sum of 5 amd 8 terms of an A.P is 37 and its 11 term is 32 find the A.P
Sum of 5th & 8th terms of an AP = 37
11th term = 32
Find:A.P
Solution:We know that,
nth term of an AP – an = a + (n - 1)d
Hence,
⟹ a₅ + a₈ = 37
⟹ a + (5 - 1)d + a + (8 - 1)d = 37
⟹ 2a + 4d + 7d = 37
⟹ 2a + 11d = 37 -- equation (1)
Similarly,
⟹ a₁₁ = 32
⟹ a + (11 - 1)d = 32
⟹ a + 10d = 32
⟹ a = 32 - 10d
Substitute the value of a in equation (1).
⟹ 2(32 - 10d) + 11d = 37
⟹ 64 - 20d + 11d = 37
⟹ 64 - 37 = 20d - 11d
⟹ 27 = 9d
⟹ 27/9 = d
⟹ 3 = d
Substitute the value of d in equation (1).
⟹ 2a + 11(3) = 37
⟹ 2a + 33 = 37
⟹ 2a = 37 - 33
⟹ 2a = 4
⟹ a = 4/2
⟹ a = 2
Now,
General form of an ap = a , a + d , a + 2d...
⟶ Required AP = 2 , 2 + 3 , 2 + 2(3)...
⟶ Required AP = 2 , 5 , 2 + 6...
⟶ Required AP = 2 , 5 , 8...
I hope it will help you.
Regards.
Answer:
→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]
→ 4md - 2nd = 2 * [ a + (n - 1)d ]
→ 2(2md - nd) = 2 * (a + nd - d)
→ 2md - nd - a + d = nd
→ 2md - nd - (md - 2nd) + d = nd
[ From equation (1) ]
→ 2md - nd - md + 2nd + d = nd
→ md + nd + d = nd
→ (m + n + 1)d = n * d
→ (m + n + 1) = n
Step-by-step explanation:
Multiply. Write each product in simplest form, 1 4/5 x 1/2
8/9
9/8
1 1/8
1/8
9/10 or 0.9
mark me brainliest if you feel like mine was helpful!! I hope that helped!
Write the formula for the volume of a cone V = 13π r2 h in terms of h.
Find the height h of a cone with volume V = 32π cm3 and radius r = 4 cm.
Formula:
Height:
Answer:
Formula: V = 1/3πr^2h
Height: 6cm
Step-by-step explanation:
step one:
given information
volume =32π cm^#
radius=4cm
step two:
The formula is
V = 1/3πr^2h
substituting we have
32π =1/3π*4^2*h
32π=16πh/3
π cancels out
step three:
cross multiply we have
32*3=16h
divide both sides by 16 we have
96/16=h
h=6cm
PLSS HELP DUE IN 4 MINS
Answer:
The inverse is 1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Exchange x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
x/2 -1/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
help please! show your steps please
Answer:
x = -9
Step-by-step explanation:
To solve the equation
Simplify each sideSeparate the variable on one side and the numerical term on the other sideMake the coefficient of the variable equal 1Let us do these steps with our question to find x
∵ 4(2x + 7) = 12 - 2(10 - 2x)
→ Simplify each side
∵ 4(2x) + 4(7) = 12 - 2(10) - 2(-2x)
∴ 8x + 28 = 12 - 20 + 4x
→ Add the like terms in the right side
∵ 8x + 28 = (12 - 20) + 4x
∴ 8x + 28 = -8 + 4x
→ Subtract 28 from both sides
∵ 8x + 28 - 28 = -8 - 28 + 4x
∴ 8x = -36 + 4x
→ Subtract 4x from both sides
∵ 8x - 4x = -36 + 4x - 4x
∴ 4x = -36
→ Make coefficient of x equal 1 by dividing both sides by 4
∴ [tex]\frac{4x}{4}=\frac{-36}{4}[/tex]
∴ x = -9
Simplify the following expression,
(5^2)^-1
the relationship between altitude and the boiling point is linear.AT an altitude of 8300ft 8300 ft , the liquid boils at 194.23 194.23 degrees Fahrenheit an altitude of 4200 ft , 4200 ft , the liqiud boils at 202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point b b of the liquid,in degrees fahrenheit in terms of altitude a in feet . feet . What is the boiling point of the liqud at 2600 ft 2600 ft
Complete Question
The relationship between altitude and the boiling point is linear. At an altitude of 8300ft, the liquid boils at 194.23 ° F
At an altitude of 4200 ft , the liquid boils at 202.02° F.
Write an equation giving the boiling point b of the liquid, in terms of altitude a in feet . feet . What is the boiling point of the liquid at 2600ft
Answer:
The equation is [tex]y = -0.001943x + 210.3569 [/tex]
At 2600ft the temperature is [tex]y = 205.3051 \ °F [/tex]
Step-by-step explanation:
From the question we are told that
The temperature at 8300ft is 194.23 ° F
The temperature at 4200 ft is 202.02° F
Generally the slope for this relationship is mathematically represented as
[tex]m = \frac{ 202.2 - 194.23}{ 4200 - 8300}[/tex]
=> [tex]m = 0.001943 ^o F / ft [/tex]
Generally the according to the point slope formula is
[tex]y - y_1 = m(x -x_1 )[/tex]
=> [tex]y - 194.23 = -0.001943 (x - 8300 )[/tex]
=> [tex]y - 194.23 = -0.001943x + 16.1269 [/tex]
=> [tex]y = -0.001943x + 210.3569 [/tex]
Now we are given from the question that x = 2600 ft
Then
[tex]y = -0.001943(2600) + 210.3569 [/tex]
=> [tex]y = 205.3051 \ °F [/tex]
Given the graph what is a,h,k
Which negative numbers have an absolute value greater than 3?
Choose all that apply.
-1/2
-4.2
-16/5
-1.8
-5
-12
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth?
Answer: 5.9
9.94 rounded to the nearest tenth is 5.9
Plz mark brainliest:)
Absolute value is ALWAYS written as a positive number because distance is a positive value
Answer:
It is true
Step-by-step explanation:
Absolute value will always be positive regardless of whether the number is positive or negative. It is the distance away from zero.
The variables y and x have a proportional relationship, and y = 24 when x = 16.
What is the value of x when y = 36?
x = 16
x = 24
x = 36
x = 54
Answer:
b) x = 24
Step-by-step explanation:
if y is 24 and x is 16, they make the fraction [tex]\frac{24}{16}[/tex]
this can be simplified to [tex]\frac{3}{2}[/tex] if you divide both sides of the fraction by 8.
36/3 is 12, and 12 * 2 = 24.
so, x = 24
Answer:
x=24 or B is the correct answer.
I took the test, and this was the correct answer. Hope this helped-!
A librarian has 16 books that she plans to place in a specific order on her shelf: 7 of them are identical copies of The Shining, 5 of them are identical copies of Carrie, and 4 of them are identical copies of Misery. How many different orders of all 16 of these books are there?
Answer:
3
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
helpppp quickkkkkkkkk
Answer:
your answer is the last on the bottom
Find the equation of a line that passes through the points (1,-3) and (3,-4).
Leave your answer in the form
y=mx + c
Can someone help me find the slope of each set of ordered pairs?
The first is, (5, 7) and (-1, 3)
The second is, (-3, -5) and (3, -15)
I think the first is positive 2/3, but for the second I am stuck
Answer:
3-(-3) / -15-(-5)
= 3+3/-15+5
=6 /-10
= -3 /5
Hope it helps You
Mark as brainliest
45 +2.50m = 3.75m
what is the answer
m = 36
Work
45 + 2.50m = 3.75m
-3.75m -3.75m
45 - 1.25m = 0
- 45 - 45
-1.25m = -45
-1.25 -1.25
m = 36
PLEASE HELP ME W MY MATH FINAL! NO EXPLANATION NEEDED :)
Answer:
nothing in the first blank -3 in the second blank and +2 in the last blank or just 2.
Step-by-step explanation:
A local city collects
7% sales tax. If the
total purchase was
$321.00, then how
much was collected for
sales tax?
subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)
Answer: -6- (8.4) =1.2x +8.4 - (8.4)
X = - 12
Who is my Dad?
A. Donkey kong
B. King kong
C. papa smurf
D. Napolean bonepart
Answer:
Donkey Kong
Step-by-step explanation:
Given QRS =TUV,QS=3n+4,and TV=6n-8,find the length of QS and TV.
Answer: A. 16
Step-by-step explanation:
It would be C, but at the end you have to plug it in the 3n + 4. :)
A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says they now have about 120 apples. Is the owner's estimate reasonable? The owner's answer is reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 more apples than they started with. The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 240 apples and sold about 240 so they should have about the same number of apples as they started with.
Answer:
The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.
Step-by-step explanation:
Given that:
Number of apples already available with Owner = 200
Number of bags of apples ordered with 12 apples each = 19
Number of apples ordered = 12 [tex]\times[/tex] 19 = 228
OR
Rounding off 19 to 20:
Number of apples ordered = 12 [tex]\times[/tex] 20 = 240
Around 240 apples were ordered.
Number of bags of apples with 8 apples each, sold = 42
Number of apples sold = 42 [tex]\times[/tex] 8 = 336
Rounding off 42 to 40, number of apples sold = around 320
Therefore, 80 more apples were sold than that of apples bought.
So, according to the estimate, there will be 80 fewer apples left than they started with.
Correct answer is:
The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
What describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y- axis
C) reflection over the line x=2
D) reflection over the line x=-2
The graph represents one side of the roof of a building.
Answer:the answers are: 0,1 and 2,7 and 4, 14
Step-by-step explanation:
Switch them if not in the right order, one of them is 2,7 because one of the dots are in between 6 and 8
The distance between two rivers is 280 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between the two rivers?
Answer:
105miles
Step-by-step explanation:
If 8km = 5miles
Then the number of miles between the two towns = 280/8 × 5
= 35 × 5
= 105miles
.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S
represents the shoe size and f represents the heel-to-toe length of the foot, in
inches. Which of the following is the same equation solved for fin terms of
S?
See attachment for math work and answer.
Answer:
Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?
A. $486.93
B. $483.93
C. $489.93
D. $480.93
Step-by-step explanation:
help me with this question
Simplify
-5y - X + 7 - 2y + 3x + 4
Answer:
-7y + 2x + 11
Step-by-step explanation:
-5y - X + 7 - 2y + 3x + 4
-7y + 2x + 11
Answer: 2x-7y+11
Step-by-step explanation:
Add the x's and then add the y's. add the 4 and seven because they do not have a variable.