Victor left his house riding his bike at a speed of 18 km/h. When Victor was km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?
Complete question :
Victor left his house riding his bike at a speed of 18 km/h. When Victor was 1/2 km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?
Answer:
0.083333 or 5 minutes
Step-by-step explanation:
Victor's speed = 18 km/hr
Alex's speed = 24 km/hr
Alex left after Victor has moved a distance of 1/2 km
Time Alex will catch up with Victor :
Let time = x
distance at which Victor = Alex
(18 * x) + 0.5 = (24 * x)
18x + 0.5 = 24x
18x - 24x = - 0.5
-6x = - 0.5
x = 0.5 / 6
x = 0.0833333 hour
x = 0.0833333 *60 = 5 minutes
Answer:
5 min
Step-by-step explanation:
-4 + 9(7 + 3f) please help
Answer:
27f + 59
Step-by-step explanation:
slope of y= 4x - 1.
Answer:
Slope m = 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept] y = 4x - 1
Step 2: Break Function
Identify Parts.
Slope m = 4
y-intercept b = -1
what is the sum of the sequence 2+5+8+11+...+296
Use the distributive property to write the next step in simplifying the numerical expression
4(8+9)
ОА. 4•8+9
ОB. (4+B)•(4+9)
ОC. 4+8•4+9
OD.4•8+4•9
Which question can be answered using the expression 1/3 Divided By 3/4
Answer:
0.4
Step-by-step explanation:
The question that can be answered using the expression can be 1/3 of the total apple pie is divided in to 3/4 parts.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is 1/3 ÷ 3/4.
Here the operation is division.
So 1/3 of something is divided in to 3/4 parts.
Let a total amount of something be 1/3 units.
Suppose you have to divide it into 3/4 parts.
Then this expression can be used.
Let the total amount of apple pie left is 1/3 part of the total.
You have to divide t into 3/4 parts.
Hence the word problem can be 1/3 of the total apple pie is divided in to 3/4 parts.
Learn more about expressions here :
https://brainly.com/question/13015660
#SPJ3
Examine the regular pentagon below.
Identify the y-intercept of the function represented
by the following table:
Answer:
-3
Step-by-step explanation:
the slope is 2 so add 2 to -5 (because its only one number lower than 0) and you get your answer
Help a brother out!!
Which of the following are characteristics of the parent function represented
by the equation F(x) =x^3?
As
Select all that apply.
A. It is a parabola.
B. It passes through quadrants I and III.
C. It has a domain and range of all real numbers.
D. It goes through the origin.
E. It is symmetric about the x-axis.
Answer:
B,D,E for sure
Step-by-step explanation:
Not A because a parabola looks different. Not sure about C.
Answer:
Step-by-step explanation:
Which of the following is NOT a ratio?
A- (1,2)
B- 1:2
C- 1/2
D- 1 to 2
Answer:
A is not a ratio
Step-by-step explanation:
Answer:
A. - (1,2)
Step-by-step explanation:
We can represent the ratio as a fraction (like in C.), by using the preposition "to" just like in D, and by using a ":" sing just like in number B. So that leaves us with only one option which is A.
The unit rate for 156$ for 3 books is $___ per book
An
$52
Step bro
suck it
Answer:
52$
Step-by-step explanation:
Divide for the unit price of 1 book.
You get $52
Зу + 6x = 12
8х + 4у - 16
How many solutions does this system of linear equations have? Explain.
Answer:
Step-by-step explanation:
- 3 1/3 = - 1/2g. Show work plz
Answer:
Points
Step-by-step explanation:
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.93 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
The total cost of the meal is $
I searched this on brainly and the answer was wrong. The correct answer is actually 82.88! Thank me later :)
Answer:
The answer is $82.88.
Step-by-step explanation:
Too complicated. Will do explanation later.
Answer: You're correct :3
Step-by-step explanation:
15% of 78.93 ≈ 11.84
78.93 - 11.84 = 67.09
20% of 78.93 ≈ 15.79
67.09 + 15.79 = 82.88
You're correct!
Thanks for the free points btw. :p
What do 5a represent in f(x)=5ax
Answer:
[tex]y = mx + c \\ f(x) = 5ax[/tex]
By comparing both the equation we get that,
5a represent a slope in f(x)The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?
Answer:
6.4294 years
Step-by-step explanation:
45.1 million in 2009 -- 2.3% each year
In what year will the population exceed 52.2 million?
We use exponential growth formula
ξ(t) = y = ab^t
a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2
52.2/45.1 = (1.023)^t
We take log both side
Log(1.15742794) = tlog(1.023)
0.0634939619 = t0.00987563371
t = 0.0634939619/0.00987563371
t = 6.429355701569454
t = 6.4294 years
A promoter buys advertising in units of $30,000 each. If he buys two units of broadcast TV, one unit of cable TV, and two units of radio, how much does he spend in advertising?
Answer:
$150,000
Step-by-step explanation:
The first step is to calculate the total number of units
= 2 +1 +2
= 5
If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows
= 30,000 × 5
= 150,000
Hence the promoter spends $150,000 on advertising
Mrs. Goerlich deposited $2,000 into a savings account to save for her son's college tuition. • The account earns simple interest. • She did not make any additional deposits or withdrawals. • At the end of 6 years, the account has a balance of $2,780. What is the annual interest rate on this account?
Answer: 6.5%
Step-by-step explanation:
In 6 years the interest earned is:
= 2,780 - 2,000
= $780
The account earns simple interest which means that it increased by the same rate yearly. Yearly increase is:
= 780/6
= $130
Simple interest rate = Interest payment/ Deposit
= 130/2,000
= 6.5%
A shipping container will be used to transport several 80-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 9200 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?
Answer:
197
Step-by-step explanation:
Given that :
Weight of crate = 80kg
Greatest weight container can load = 25000 kg
Weight of other shipments on container = 9200kg
Greateat Number of 80kg crates = c
Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container
9200 + (80 * c) ≤ 25000
9200 + 80c ≤ 25000
80c ≤ 25000 - 9200
80c ≤ 15800
c ≤ 15800 / 80
c ≤ 197.5
Hence, maximum number of 80kg crate is 197
The inequality which can be used to determine c will be "[tex]9200 + 80c \leq 25000[/tex]". A complete solution is below.
Given values are:
Crates' weight,
80kgGreatest weight container,
25000 kgOther shipments' weight
9200 kgLet,
The Greatest number of 80kg crates will be "c".Now,
As we know the formula,
→ [tex]Other \ shipments' \ weight + (Crates' \ weight\times Number \ of \ crates) \leq Greatest \ weight \ container[/tex]By substituting the values, we get
→ [tex]9200 + (80\times c) \leq 25000[/tex]
→ [tex]9200 + 80c \leq 25000[/tex]
Thus the above response is right.
Learn more:
https://brainly.com/question/22154354
The perimeter of a triangle is 21. The smallest side is 3. The 2nd side is twice the smallest side. The 3rd side is 6 more than the 2nd side. Write an equation to solve for the perimeter. Then find the ____ and ____.
Fill in the blanks.
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the smallest side is 3 and that the 2nd side is twice the smallest side. This means that the second side will be:
= 3 × 2 = 6
The 3rd side is 6 more than the 2nd side. The 3rd side will be:
= 6 + 6 = 12
The perimeter of a triangle is the addition of its sides. Therefore, the perimeter is:
= 3 + 6 + 12
= 21
The sides are:
1st side = 3
2nd side = 6
3rd side = 12.
The graph shows f(x) and its transformationg (x)
Which equation correctly modelsg (x)?
g(x) = 3^x-7 – 2
g (x) = 3^x+7 - 2
g(x) = 3^x+2 - 7
g(x) = 3^x-2-7
Answer:
[tex]g(x) = {3}^{x - 2} - 7[/tex]
Step-by-step explanation:
As we can see, the graph of transformation of f(x) is translated to the right and down.
then, g(x) = f(x - a) - b, where a & b > 0.
from the options, there are 4 translated function of f(x).
but on the second option
[tex] {3}^{x + 7} - 2 = {3}^{x - ( - 7)} - 2[/tex]
a < 0, then it's not the answer we need, same as third option that makes only first and fourth left.
from the picture, horizontal asymptote of f(x) is y = 0.
on g(x) horizontal asymptote is y = -b, where -10 < -b < -5.
and from the options that are left, we can see only fourth option that satisfies what we need.
Please help me answer I will give 13 points thanks
Answer:
y=85x
Step-by-step explanation:
please answer, I need help asap, thanks :p
Answer:
Angle A = 15
Angle B: 105
Step-by-step explanation:
Angle A and 75° add up to 90°
75 + x = 90
x = 90 - 75
x = 15
Angle B and 75° add up to 180°
75 + x = 180
x = 180 - 75
x = 105
q=25πh how do I solve it
Answer: ok the answer is 42
Step-by-step explanation: so q = 17 right? and 25 = Y
so i think you add then you get 42...right? i might not get the right answer
but what letter is this i don't know this symbol or lettter: π
Pls help and show workings due ASAP
Answer:
x is 5
ST is 45
Step-by-step explanation:
In the given figure
∵ m is the bisector of the segment SU
→ That means m intersects SU at the midpoint of SU
∵ m ∩ SU at point T
∴ T is the midpoint of SU
→ The midpoint of a segment divides it into two equal parts
∵ The point T divides SU to ST and TU
∴ ST = TU
∵ ST = 9x
∵ TU = 4x + 25
→ Equate them
∴ 9x = 4x + 25
→ Subtract 4x from both sides
∵ 9x - 4x = 4x - 4x + 25
∴ 5x = 25
→ Divide both sides by 5
∴ x = 5
→ Substitute the value of x in ST
∵ ST = 9(5) = 45
∴ ST is 45
A fruit basket of apples and oranges has 14 fruit Apples cost $3 each and orange cost $2 each the fruit basket costs $34 write and solve a system of linear equations to determine how many apples x and oranges y are in the fruit basket
Answer:
3(a)+2(o)=14
3(a)+2(o)=34
3(4)+2(1)=14
3(8)+2(5)=34
Step-by-step explanation:
4 apple's and one orange to get 14 pieces of fruit. 8 apples and 5 oranges to get 34 pieces of fruit.
Over what interval is the function nonlinear?
Answer:
Step-by-step explanation:
3rd one
Simply please will give brainlist to first right answer
Answer:
12-14i
Step-by-step explanation:
[tex](-1-3i)(3+5i)\\\\=-1(3)-1(5i)-3i(3)-3i(5i)\\\\=-3-5i-9i-15i^2\\\\= -3-14i-15i^2\\\\[/tex]
here we know that i^2=-1
[tex]=-3-14i-15(-1)\\\\=-3-14i+15\\\\=12-14i[/tex]
Ameron works for a car dealership and earns a monthly salary plus a commission for every car he sells.(8.5B) Which equation could be used to find Cameron's total monthly income, M, after selling n cars? M = 500n + 1750 M = 1750n + 2250 M = 1750n + 500 M = 2250n
Answer:
Equation used to calculate monthly income of Ameron is: M = 1750+500n
Step-by-step explanation:
From the question it is give that :
monthly salary of Ameron is 1750 and commission for every car he sells is 500
let n be the Number of car he sells then its total income M of the month is
M = 1750 + 500n
Therefore correct option is (a) i.e., M = 1750+500n
(1+2/3) / x = (2+7/9)
Answer:
x=45/75
Step-by-step explanation:
(1+2/3)/x= 2+7/9
5/3x=25/9
5*9= 3x*25
45=75x
x= 45/75 orx=0.6