Answer:
Sprinter B is going faster.
Step-by-step explanation:
Sprinter A is moving at a rate of 1.4 feet every 3 seconds, or about 0.47 feet every second.
Sprinter B is moving at a rate of 2.8 feet every 5 seconds, or 0.56 feet every second.
Therefore, Sprinter B is moving at a quicker pace.
Answer: The answer is Sprinter B.
Step-by-step explanation:
First I did 2.8 / 5 = .56 secs.
for the A
B I did 1.4 / 3 = .47 secs
So, B is the faster sprinter.
Claire drove 204 miles in 4 hours. If she continued at the same rate, how far would she travel in 13 hours?
Answer:
15 hours
Step-by-step explanation:Easy math
Answer:
663
Step-by-step explanation:
Good luck on this
Zane is making chew toys for his puppy. He uses 2/5 yd of rope to make one toy, Zane has 2 yd of rope to use. What model can show how many 2/5 s fit into 2yd?
Answer:
5
Explanation:
When we divide A by B, we are calculating how many Bs fit into A. So, if we want to know how many 2/5s fit into 2 yds, we need to divide 2 by 2/5. So:
[tex]\frac{2}{\frac{2}{5}}=\frac{\frac{2}{1}}{\frac{2}{5}}=\frac{2\times5}{1\times2}=\frac{10}{2}=5[/tex]So, 2 yds of rope can be divide into 5 ropes of 2/5 yd.
is 0.49 a rational or irrational number?
(please explain how you know this)
Answer:
Rational
Step-by-step explanation:
there are very few irrational numbers, such as
[tex] \sqrt{2} [/tex]
or π
most of irrational numbers have a lot of decimal digits. And also numbers with 2 decimal digits are all rational because you can write them as
[tex] \frac{49}{100} [/tex]
Aislinn bought a new car. After 8 months, the odometer read 14,010 miles. How many miles did
Aislinn average per month on her car?
OA. Aislinn drove an average of 876 miles per month.
OB. Aislinn drove an average of 1,168 miles per month.
OC. Aislinn drove an average of 1,401 miles per month.
D. Aislinn drove an average of 1,751 miles per month.
When
out their o
19 milon
4
if their
d) Aislinn's average per month on her car is 1,751 miles per month.
How to find the average speed?The average speed is calculated by dividing the total distance traveled by the total time it took to travel that distance. Speed is the rate at which something moves at any given time.
Average speed is the average rate of speed over the course of a journey. Velocity exists as the directional speed of a moving object as an indication of its rate of change in position as observed from a specific frame of reference and measured by a specific time standard.
Given,
After 8 months, the odometer read 14,010 miles.
Solution:
t = 8,
d = 14,010 miles,
s = ?
s = d/t
s = 14,010/8
s = 1751 miles/month.
Aislinn drove an average of 1,751 miles per month.
To learn more about average, refer
https://brainly.com/question/130657
#SPJ9
a wire of length 38 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares? (give your answer in the form of a comma separated list of the lengths of the two pieces.)
The lengths of the two pieces of a wire will be 19,19.
Define square.A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.
The square of a square's side determines its area.
Given data -
Length of a wire = 38 m
As the wire is divided into two pieces,
Let the length of two pieces of wire be x and y m respectively.
As per given data, x + y = 38
Therefore, y = 38 - x
As each piece is bent into a square, area of squares will be
[tex](x/4)^{2}[/tex] and [tex](y/4)^{2}[/tex]
Therefore, the sum of areas of two squares will be A = [tex](x/4)^{2}[/tex] + [tex](y/4)^{2}[/tex]
A = [tex]x^{2}[/tex]/16 + [tex]y^{2}[/tex]/16
A = [tex]x^{2}[/tex]/16 + [tex](38-x)^{2}[/tex]/16
By differentiating, we will get
A' = [tex]\frac{2x}{16}[/tex] - [tex]\frac{2(38-x)}{16}[/tex]
In order to minimize the the sum of the areas of the two squares, we will take A' = 0
0 = x - (38 - x)
2x = 38
x = 19
Therefore y = 19
The length of two pieces of a wire should be 19 m each.
To know more about differentiation, visit:
https://brainly.com/question/24062595
#SPJ4
These marbles are placed in a bag and two
of them are randomly drawn.
What is the
probability of drawing two pink
marbles if the first one is NOT placed back
into the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to
get your answer.
Enter
If the first marble is not reinserted into the bag before the second draw, there is 1/15 probability of drawing two pink marbles.
What are dependent events?When the result of one event affects the result of another, two events are said to be dependent. The likelihood of two connected events is the sum of the probabilities of the occurrences X and Y that happen after X.
It is given that there are two yellow, three pink and 5 blue marbles.
So, in the first draw, the probability of drawing pink marble is the ratio of the number of pink marbles to the total number of marbles in the bag.
[tex]p_1=\frac{3}{10}[/tex]
Now, in the second draw, the probability of drawing pink marbles will be affected as it is not kept back. So, in the second draw, the probability of drawing pink marble is the ratio of the number of remaining pink marbles to the remaining number of marbles in the bag.
[tex]p_2=\frac{2}{9}[/tex]
Given that both occurrences occur concurrently, multiply the likelihood of the first event by the probability of the second event.
[tex]p=p_1\times p_2\\\\=\frac{3}{10}\times\frac{2}{9}\\\\ =\frac{1}{15}[/tex]
So, If the first marble is not reinserted into the bag before the second draw, there is 1/15 probability of drawing two pink marbles.
To know more about the probability of dependent events:
https://brainly.com/question/28817872
#SPJ13
Which is the graph of g(x)?
Which graph
Answer:
Option D.
Step-by-step explanation:
We are given with three function.
Plug in x=-2 in first functionf(x)= 3 so f(-2) = 3Plug in x=-2 in second function.
◄) Add.
8/11+6/11+6/11+7/15
Answer:
[tex]\frac{377}{165}[/tex] or 2 [tex]\frac{47}{165}[/tex]
Step-by-step explanation:
izzes
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 45° arc?
45⁰
The area of the sector is 6.28 cm².
What is a sector?A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the shape of a circle's sector.So, the area of the sector:
The formula for the area of the sector: θ/360 πr²Where θ is 45° and r is 4cm.Now, substitute the values in the formula as follows:
θ/360 πr²45/360 π4²1/8 π16π2(Let π be 3.14)
π2 = 6.28Therefore, the area of the sector is 6.28 cm².
Know more about sectors here:
https://brainly.com/question/22972014
#SPJ13
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.
What is the probability Nerissa will choose a purple bow?
1/2
2/5
1/10
3/5
Answer: 2/5 is
Step-by-step explanation: 2/5 is equal to 40% and there is 10 bows
Sam counted 12 liters of hand sanitizer in the storage cabinet . He fills the seven of the examination rooms as follows : 350 mL , 600 mL , 475 mL, 580 720 , and 500 mL .a)How many total milliliters did sam use to fill the dispensers?B) After filling the dispensers, how many liters of sanitizer remain in the storage cabinet?
a) To know the total millilites that sam use to fil the dispenser, we will have to add all the seven amount filled as shown;
Total (in milliliters) = 350 mL + 600 mL + 475 mL + 580mL + 720mL + 500 mL
Total (in milliliters) = 3225mL
Hence the total milliliters that sam use to fill the dispensers is 3225millilitres
b) The amount liters of sanitizer remaining will be 12litres - 3225mL
Convert 3225mL to litres
3225mL = 3225/1000 Litres
3225mL = 3.225litres
The amount liters of sanitizer remaining = 12 - 3.225
The amount liters of sanitizer remaining = 8.775litres
Michael is going on a 3150 mile drive. He needs to stop for gas every 320 miles. How many times will he need to stop?
What does (1,12) mean in this situation
Find the LCM of 6, 24 and 32
Answer:
96
Step-by-step explanation:
Determined whether the relation is a function. If it is not a function, circle the ordered pairs that cause it not to be a function.
To be a function, each input can only go to one output
A. The input 1 goes to two different output values
(1,6) (1,7) causes it not to be a function
B. This is a function. Each input has only one output value
C. The input 0 goes to two different output values
(0,-5) snf (0,4) causes it not to be a function
Erin loves to play sports. In all, she has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.
What is the ratio of Erin's tennis trophies to all of her trophies?
A) 3:4
B) 3:7
C) 3:12
D) 3:15
Step-by-step explanation:
option D is correct..
can we become friends???
8. the floor of a rectangular meeting room has raised platform that is the same length as the room. the whole room has an area of 46 14/15, ( 7 1 /3 yards )
Part B Suppose there are of the platform is 7 34/45 square yards. what fraction of the entire floor is the raised platform. P.s make sure to show your work
Answer:The width of the room is .
Step-by-step explanation:
Consider the provided information.
It is given that the whole room has an area 46 14/15 sq yd.
This can be written as:
yd.
Now consider the figure shown below:
From the figure we know that the length of the rectangular meeting room is yd.
The area of rectangle is
Let width of the rectangle is w yard.
Hence, the width of the room is .
active attachment
Step-by-step explanation:
The width of the room is .
Step-by-step explanation:
Consider the provided information.
It is given that the whole room has an area 46 14/15 sq yd.
This can be written as:
yd.
Now consider the figure shown below:
From the figure we know that the length of the rectangular meeting room is yd.
The area of rectangle is
Let width of the rectangle is w yard.
Hence, the width of the room is .
active attachment
what is the quotient of 3.7x10^3 and 1.4x10^6 in scientific notation
Select the correct answer from the drop-down menu.
The solution set for 6a²-a-5=0 is
(2,-5/6)
{2,-12/5)
{-1,-5/6)
(1.-5/6)
Answer:
{1, -5/6}
Step-by-step explanation:
(6a+5)(a-1) = 0
6a+5 = 0 (or) a-1 = 0
a = -5/6 (or) a = 1
Pls, Help Right Now For 10!!!!!!!
Answer:
9
01000101010101010101011101010110110101011010
10101010101010110101101010101011011001010101
10101010100101010101010101101101101010101010
in a sale , normal prices are reduced by 17%. the normal price of a washing machine is reduced by £42.50. work out the sales price of the washing machine
The sales price of washing machine is 250.
What is sales price?The price at which something sells or is offered for sale after having its price lowered is known as sales price.
A sale price is the reduced cost at which goods or services are offered for sale. Typically, this price is provided for a brief period of time in an effort to boost sales during a slow period or get rid of extra inventory.
The promotional price is indicated as a percentage off of the standard list price.
Let x be the sales price of washing machine, then as per given
17% of x = 42.5
(17/100) * x =42.5
x = 250
To know more about sales price visit:
https://brainly.com/question/25101522
#SPJ10
Graph the line with slope -3/4 and y-intercept 9.
The equation of the line with slope -3/4 and y intercept 9 is y=-3/4x+9.
Based on the conditions formulate:
m=-3/4
and b = 9
Write the equation of the linear function:
y=mx+b
substitute m=-3/4 and b=9 into y=mx+b:
y = -3/4x+9
A line's equation must be in the Slope-Intercept Form, y = mx + b, in order to be graphed using its slope and y-intercept.
This format makes it simple to read off the slope and y-intercept values. The y-intercept is the constant term b, whereas the slope is just the m coefficient of the variable x.
plot the y intercept (0,9) in the xy axis.
Use the slope to locate a different point beginning at the y-intercept. The direction you travel from one point to another is contained in the slope.
Hence the required graph is plotted.
Learn more about Slope intercept form here:
brainly.com/question/1884491
#SPJ1
Please help me solve
2/3|4v+6|-2<10
Answer:
-6<v<3
Step-by-step explanation:
hope this helps
What is The sum of two consecutive even integers divided by four is 1895
Answer:
I don't understand what the question is asking, so just see if you can get something from what I wrote below.
Step-by-step explanation:
Call the first number x and the next one x+2.
(x+ (x+2))/4 = 1895
Multiply by 4 on both sides...
x+(x+2) = 7580
Simplify on the left side...
2x+2 = 7580
2x = 7578
Divide by 2...
x = 3,789
x+2 = 3791
What is a x? Show your work
Answer:
a value that is not yet shown
Step-by-step explanation:
Mark me as branlist to help
Write an expression equivalent to \frac{9^5}{9^3} in the form of b^n.
The expression that is equivalent to \frac{9^5}{9^3} is 9^2.
What is an expression?It should be noted that an expression is simply used to shoe the relationship between the variables that are illustrated.
In this case the given expression is 9^5 / 9^3. It should be noted that when dividing powers, we have to subtract them. Therefore, 5 - 3 = 2.
The value will be:
= 9^5 / 9^3
9^2
The expression is 9^2.
Learn more about expressions in:
brainly.com/question/723406
#SPJ1
show me the standard algorithm for 546 divided by 13
The value of the quotient expression 546 ÷ 13 is 42
How to evaluate the expressions?The expression is given as
546 divided by 13
Rewrite the expression as
546 ÷ 13
By the standard algorithm, we have
The expression can be solved using a calculator and with the use of standard algorithm i.e. partial decomposition
By the rule of partial decomposition, we have
a ÷ b = (c ÷ d) ÷ b
Where
a = c + d
Next, we expand the expression as follows:
546 ÷ 13 = (520 + 26) ÷ 13
Remove the brackets
So, we have
546 ÷ 13 = 520 ÷ 13 + 26 ÷ 13
Evaluate the quotients
So, we have
546 ÷ 13 = 40 + 2
Evaluate the sum
So, we have
546 ÷ 13 = 42
Hence, the solution of 546 ÷ 13 is 42
Read more about quotients at
https://brainly.com/question/629998
#SPJ1
Victoria is studying the population of the town of Oak Hills for a class project. Based on census data, she found that the equation p = 660n + 14,400 can be used to estimate the population, p, of Oak Hills n years after the year 1900. What will be the estimated population of Oak Hills in the year 2100?
A. 3,012,000
B. 146,400
C. 15,300
D. 132,000
Answer:
Step-by-step explanation:
2100 - 1900 = 200
660(200) + 14,400
p = 146400
146,400 people
The answer is B
use the commutative law of multiplication to rewrite 146 x 48
Step-by-step explanation:
146 × 48 = 48 × 146
due to the commutative law of multiplication the sequence of the operands of a multiplication does not matter.
a × b = b × a
this bases on the fact that a multiplication is nothing else than a special kind of addition
a × b = add a b times; or add b a times.
and as already the addition follows the commutative law
a + b = b + a
so, does then the multiplication.
24 students in a class took an algebra test
If 18 students passed the test, what percent passed
Answer:
only 75% of the class or students passed the algebra test
Answer: 75%
Step-by-step explanation: The equation for percentages is: part = percent • whole.
We can use our given values and plug them into the equation to solve for our percent.
In this problem, the “part” is 18, and our “whole” is 24, since the whole class has 24 people, and part of the class (18) passed.
P = % • W
18 = % • 24
(to solve for %, we have to get isolate it, or get rid of the • 24. We use division, the opposite operation, to cancel our • 24.)
18 = % • 24
÷24 ÷24
0.75 = %
Since percents are out of 100, we have to multiply 0.75 by 100.
0.75 • 100 = 75%
I hope this helped!
