Answers
Answer:
1:30 pm
Step-by-step explanation:
You want the time when Sahil catches up to Joaquin, who left at 8 am riding 50 mph when Sahil left at 8:30 am, riding at 55 mph.
Time, Speed, DistanceThe relation between time, speed, and distance is ...
distance = speed × time
time = distance / speed
Joaquin has a head start of 0.5 hours (30 minutes), during which time he traveled ...
head start distance = (50 mi/h) × (0.5 h) = 25 mi
Sahil is traveling 55 - 50 = 5 mph faster than Joaquin, so closes that gap at the rate of 5 mi/h. The time it takes to close the gap entirely is ...
time = distance / speed = 25 mi / (5 mi/h) = 5 h
So, 5 hours after Sahil starts at 8:30, the two riders will be at the same place.
Sahil catches Joaquin at 1:30 pm.
__
Additional comment
By the time the gap is closed at 1:30 pm, both riders will have traveled a distance of ...
distance = speed × time = 50 mi/h × 5.5 h = 55 mi/h × 5 h = 275 mi
In the attached graph, we have written equations for the total distance traveled by each motorcycle. The x-value used is the clock time on a 24-hour clock. That is, their meeting time of 13.5 hours corresponds to 13:30 hours or 1:30 p.m. on a 12-hour clock.
Related Questions
For any two integers a and b, (a - b) squared = a squared - b squared.
^^^^
Determine if the conjecture is true or false.
If False give a counterexample.
Answers
a = 1, b = 2 is a counterexample, and with that, we conclude that the conjecture is false.
Is the conjecture true or false?Here we have the conjecture:
"For any two integers a and b, (a - b)^2 = (a^2 - b^2)"
Notice that if we find a single pair of integers a and b such that the equality in the conjecture is false, then we have found a counterexample and that is enough to conclude that the conjecture is false.
If we define=
a = 1
b = 2
Replacing that in the equation of the conjecture we get:
(1 - 2)^2 = (1^2 - 2^2)
(-1)^2 = 1 - 4
1 = -3
This is false, then a = 1, b = 2 is a counterexample, and with that we conclude that the conjecture is false.
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Math question please help ASAP
Answers
Please check the image attached aside to see the representation of the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.
What is the graphic representation of a system formed by two inequalities
In this question we have a system formed by two inequalities represented by linear expressions in implicit form. Now we proceed to rewritte the system into explicit form:
y ≥ (200 - 4 · x) / 6 (1)
y < 75 - x (2)
Then, the solution set of the point is represented by an area below the function (2) and equal and greater to the function (1). Finally, we proceed to graph the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.
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if x is directly proportional to y³ and x = 32 when y = 8,
i) find an equation connecting x & y
ii) find the values of x when y = 6
iii) find the value of y when x = 108
Quick pls!!
Answers
Answer:
i) x = ky³
ii) 13.5
iii) 12
Plytage-22-23
Examining Intervals in a Table of Values
Which table shows a function that is decreasing over the interval (-2, 0)?
f(x)
f(x)
0
-15
-5
-5
-20
-30
X
-2
-1
0
1
Intro
0
5
X
-2
0
2
4
X
-3
-2
-1
0
f(x)
2
0
-10
-24
Done
English
Answers
Answer:
the third one (the outmost right)
Step-by-step explanation:
the first one goes from -2 to 0 through functional values of 0, down to -5, and then back up to 0. so, it does NOT go down between -2 and 0.
the second one goes from -2 to 0 through the functional values of -15 up to -5. so, it goes UP in that interval.
and the third one goes from -2 to 0 through the functional values of 0 down to -10 and then further down to -24. so, this one is truly decreasing in that interval.
Flower Power shop in Davenport, FL sells 6 sunflowers for $13.50.
What would be the cost for 1 sunflower?
Answers
Answer: 2.25
Step-by-step explanation: divide 13.50 by 6 and then you get 2.25 to check you can do 2.25 times 6 and get 13.50
Divide 13.50 by 6 to get the price of one sunflower
(+3)-(-2)=
(-3)-(+2)=
(-2)-(+3)=
(-2)-(-3)=
(+2)-(-3)=
Answers
Answer:
1. +5
2.-5
3.-5
4.+1
5.+5
Answer: 1.) 5 2.) -1 3.)-5 4.)1 5.)5
Step-by-step explanation:
Kelly worked on a straight 9% commission. Her friend worked on a salary of $850 plus a 6% commission. In a particular month, they both sold $21,100 worth of merchandise.
How much did her friend earn for the same month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
Answers
Answer:
$1260
Step-by-step explanation:
Step 1: Read and analyze the problem
In this problem, you are asked to find out how much her friend earned in the same month. You are given information about their commission rates and the total amount of merchandise they sold.
Step 2: Identify the known values and the unknown value
The known values in this problem are the commission rates and the total amount of merchandise sold. The unknown value is the amount her friend earned in the same month.
Step 3: Create an equation or system of equations
You can create an equation to solve for the unknown value using the information given in the problem.
Step 4: Solve the equation or system of equations
If you solve the equation, you will find that her friend earned $1,260 in the same month.
Hope this helps! Please mark me brainliest
Answer:1260
Step-by-step explanation:
Megan cuts pieces of colored felt to
create a logo of a sun behind a
mountain peak. Determine the
approximate total amount of felt used
in the logo.
Answers
The approximate total amount of felt used in the logo is 334.34 square cm
How to determine the approximate total amount of felt used in the logo?We have the following parameters on the logo:
Shapes = Semicircle and Triangle
Where
Semicircle:
Diameter = 18 cm
Triangle
Base = 16 cm
Height = 10 cm
The approximate total amount of felt used in the logo is calculated as
Amount = Area of semi-circle + Area of triangle
This gives
Amount = π(d/2)^2 + 0.5bh
So, we have
Amount = 3.14 * (18/2)^2 + 0.5 * 16 * 10
Evaluate
Amount = 334.34
Hence, the approximate total amount of felt used in the logo is 334.34 square cm
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Explain how to find the constant of proportionality for the ratio of robins to cardinals.
Not really sure how this works!! Thank you for all help
Answers
The constant of proportionality is 3 for the ratio of robins to cardinals.
We have a table:
Cardinals Robins
5 15
6 18
9 27
10 30
We need to find the constant of proportionality.
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
We know that:
Robins ∝ Cardinals
Robins = K × Cardinals
K = the constant of proportionality
15 = k (5)
k = 3
So, we get the constant of proportionality as 3.
Therefore, the constant of proportionality is 3 for the ratio of robins to cardinals.
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Your question was incomplete. Please refer the content below:
Explain how to find the constant of proportionality for the ratio of robins to cardinals.
A 2-column table with 4 rows. Column1 is labeled Cardinals with entries 5, 6, 9, 10. Column 2 is labeled Robins with entries 15, 18, 27, 30.
how to solve 10x+25(x-2)=335
Answers
Answer:
x = 11 ,
Step-by-step explanation:
isolate the variable by diving each side by factors that don’t contain the variable
Translate 12y + 3 into an english expression
Answers
Answer: No hablo english
Step-by-step explanation: Hola como estas
Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place? select all that apply
a. 6,044.7
b 6,339.99
c. 8,101.13
d. 8,066.51
e. 9,777.1
Answers
The numbers that have a digit in the ones place that is 1/10 the value of the digit in the tens place is 6,044.7 , 9,777.1 and 8,101.13
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs. The precise position of a number within a series is assigned a value by a place-value system.
Given that we have to choose the number having a digit in the one place that is 1/10 the value of the digit in the tens place.
The numbers are 6,044.7 , 9,777.1 and 8,101.13 in which a digit in one place has a value that is 1/10 that of a digit in the tens place.
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The table to the right shows the volume discounts offered by a company, where x is the volume of a purchase in dollars. Assume that the volume discounts in the table apply to the entire purchase. That is, if the volume x satisfies $300≤x<$1,000, the entire purchase is discounted 4%. Answer a) and b) below.
$300≤x<$1,000
$1,000≤x<$3,000
$3,000≤x<$5,000
$5,000≤x
4%
5%
6%
10%
Volume Discount
(Excluding tax)
Volume($x)
Discount Amount
Question content area bottom
Part 1
a) If x is the volume of a purchase before the discount is applied, write a piecewise definition for the discounted price D(x) of this purchase.
D(x)= x if 0≤x<300 enter your response here if 300≤x<1,000 0.95x if 1,000≤x<3,000 enter your response here if 3,000≤x<5,000 0.90x 5,000≤x
Answers
The piecewise function for the discounted price of the purchase is given by:
D(x) = 0.96x, 300≤x<1,000.D(x) = 0.95x, 1,000≤x<3,000.D(x) = 0.94x, 3,000≤x<5,000.D(x) = 0.9x, 5,000≤x.What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
For $300≤x<$1,000, the discount is of 4%, hence the discounted price is 96% of the original price, that is:
D(x) = 0.96x, 300≤x<1,000
For $1,000≤x<$3,000, the discount is of 5%, hence the discounted price is 95% of the original price, that is:
D(x) = 0.95x, 1,000≤x<3,000.
For $3,000≤x<$5,000, the discount is of 6%, hence the discounted price is 94% of the original price, that is:
D(x) = 0.94x, 3,000≤x<5,000.
For $5,000≤x, the discount is of 10%, hence the discounted price is 90% of the original price, that is:
D(x) = 0.9x, 5,000≤x.
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Write the quadratic equation whose roots are -5 and 3, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
Answers
Answer: (x-3)(x-5) = x2 - 8x + 15
The roots will be unchanged by multiplication by 3: 3x2 - 24x + 45
Step-by-step explanation:
Answer:
y = 3x² + 6x - 45
Step-by-step explanation:
given roots x = a and x = b then the factors are (x - a) and (x - b)
then the quadratic is the product of its factors
y = a(x - a)(x - b) ← a is a multiplier
here x = - 5 and x = 3 with a = 3 , then factors are
(x - (- 5)) and (x - 3) , that is (x + 5) and (x - 3) , then
y = 3(x - 3)(x + 5) ← expand factors using FOIL
y = 3(x² + 2x - 15) ← distribute parenthesis by 3
y = 3x² + 6x - 45
There are 11 reams of paper in a case. How many total reams of paper are in 23 cases?
Answers
Answer: 253 reams of paper
Hope this helps!
Someone help with this fast!
Answers
2x=20
x=10
Answer:10
What is the product of 4.5 ⋅ 10^5 and 1.6 ⋅ 10^2?
Answers
Answer: 450000, 160
Step-by-step explanation:
4.5 ⋅ 10^5 =
4.5*100000=
4*100000+0.5*100000=
400000+50000=450000
1.6 ⋅ 10^2=
1.6*100=
1*100+0.6*100=
100+60=160
Determine whether the sequence is convergent or divergent. If it is convergent, find the limit. (If the quantity diverges, enter DIVERGES.)
an = n^3 − 1/n^3 + 1.
lim an =
n→∞
Answers
changes color every 12 seconds Strand 2: changes color every 13 seconds
Both strands just changed color. After how many seconds will the strands change color at the same time again?
The strands will change color at the same time again after
seconds.
Answers
After 156 seconds the strands will change color at the same time again.
As strand 1 changes color every 12 seconds and Strand 2 .changes color every 13 seconds. we are provided that both strands just changed color and we need to find that After how many seconds will the strands change color at the same time again
To know After how many seconds will the strands change color at the same time again we need to find the least common multiple (LCM) of 12 second and thirteen seconds
The factors of 12 = 2*2*3
The factors of 13 = 1 *13
LCM =2 * 2* 3*13 = 156
Hence, After 156 seconds the strands will change color at the same time again
Correct question is Strand 1 changes color every 12 seconds Strand 2: changes color every 13 seconds . Both strands just changed color. After how many seconds will the strands change color at the same time again?
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which of the following indicates the division property of equality when solving -12x = 48
Answers
From division it is possible to find x= -4.
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .
b= the constant term that represents the y-intercept.
For the given example: a=7 and b=2.
For solving linear equations, you should organize variables on one side of the equation and the numbers on the other side. When a number or variables change side, its signal also is changed.
Therefore for -12x=48, you should follow the steps below
-12x=48
x=48/ (-12)
x= -4
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Answer if you know your right, bur dont answer just for the points
Answers
Answer:
2/11 = 0.18
22% = 0.22
1.42 = 1.42
That leaves the answers down to B and C.
B has a lesser hundredths place than 0.18.C is greater than 0.18 in the tenths place, making it bigger.Thus, the answer is C, 22%.
Answer:
C
Step-by-step explanation:
2/11 = 0.18181
22% = 0.22
1.42
What is the answer of , if n+2=7 then n= what
Answers
Answer: I
think n is 5
Step-by-step explanation:
Evaluate the function
f(x) = 3x^2 + 4x + 19
Find f(-7)
Answers
Answer:
Step-by-step explanation:
3
x
2
+
4
x
+
19
−
f
(
x
)
=
0
7+8-2x3=25 how to make this statement true
Answers
- - - - - - - - - - - - - - - - - - - - - - - -
Work below. Enjoy!
- - - - - - - - - - - - - - - - - - - - - - - -
Break up the statement first, and then find the answer.
(7 + 8) - (2 x 3) = 25
15 - 6 = 25
Since it isn't true, try playing around with different functions. I'll spare time and write down my work:
(7 x 8) - (2 x 3) / 2 = 25
56 - 6 /2 = 25
50 / 2 = 25
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
~pinetreee
Alex wrote checks on Tuesday for $35 and $45. He also made a
deposit in his checking account of $180. Find the overall change in
the amount in his checking account.
Step 1: Analyze Information
Step 2: Formulate a Plan
Step 3: Solve
Step 4: Justify and Evaluate
1
Write answer for step 2 here.
*||«
r notes
Answers
Answer: here is ur answer
He would have $100 in his bank account from the information provided
Step-by-step explanation:i really hope this helps please lmk if i am wrong have a good day/night (:
Select the best answer for the question.
1. Identify the binomial
O A. x² - 4x + 2
O B. 2x2 + 3x -1 + y
C.x²
O D. x² - 4
Mark for review (Will be highlighted on the review page)
Answers
The only option that is a Binomial is; D. x² - 4
What is the binomial?A binomial is defined as a polynomial with two terms.
Examples of binomials are; x − 2 and x − 6 are both binomials.
A) x² - 4x + 2; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.
B) 2x² + 3x - 1y; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.
C) x²; This has only one term and is therefore a monomial and not a binomial.
D) x² - 4; This is a polynomial with two terms and is therefore a binomial.
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Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates
Answers
Answer:
The equation would be:
58 times 65
The answer:
3,770
Step-by-step explanation:
Enter the missing values in the area model to find 6(2w+5)
Answers
You multiply 6x2 and then 6x5
Simplify the expression
(2*2.3) + (3.14) (4) -5
Answers
The value of the given expression after simplification is 12.16
Expression:
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is called an expression or an algebraic expression.
Simplification:
The act of substituting a complex mathematical expression with a simpler counterpart is known as simplification (usually shorter).
Simplifying the given expression i.e.(2)(2.3) + (3.14)(4) - 5
⇒(2)(2.3) + (3.14)(4) - 5
⇒4.6 + 12.56 - 5
⇒17.16 - 5
⇒12.16
⇒(2)(2.3) + (3.14)(4) - 5 = 12.16
Therefore,The value of the given expression after simplification is 12.16
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Write the following as an algebraic expression. Then simplify.
The total amount of money (in cents) in x quarters, (x+2) dimes, and 2x nickels. (Hint: The value of a quarter is 25 cents, the value of a dime is 10 cents, and the value of a nickel is 5 cents.)
HELP PLEASEEE !
Answers
The algebraic expression that represents the total amount of money in terms of x is:
y = 45*x + 20
How to write the algebraic expression?Here we want to find the total value (in cents) of:
x quarters.x + 2 dimes2x nickels.The total value will be given by the linear equation:
y = x*25 + (x + 2)*10 + (2x)*5
Where y represents the total value in cents.
Now we can simplify that equation to get:
y = x*25 + (x + 2)*10 + (2x)*5
y = x*25 + x*10 + 20 + x*10
y = 45*x + 20
This is the algebraic expression we wanted to get.
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