Answer:
31 minutes
Step-by-step explanation:
Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds
1st runner time = 4 minutes 37 seconds
2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds
3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds
4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds
5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second
6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds
7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds
8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds
The total time is the addition of all the times
For clarity sake, we shall be adding all the minutes together and all the seconds together;
That will be ;
(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)
= 27 minutes + 224 seconds
We need to convert 224 seconds to minutes
Since 60 seconds make one minute; we have
224 - 60(3) = 3 minutes and 44 seconds
Let’s add this to the minutes we had before
That would be;
27 minutes + 3 minutes + 44 seconds
= 30 minutes 44 seconds
since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute
So the total time is 30 minutes + 1 minute = 31 minutes
Which of the following statements are true about the polynomial?
7x^3y+10x^2y^3+13xy^2+14
A.The degree is 4.
B.This expression is called a trinomial.
C.The leading coefficient is 10.
D.The constant term is 7x3y.
Answer:
b
Step-by-step explanation:
Write the equation of a line that is perpendicular to y= 3x-2 and that passes through the point (-9,5)
Answer:
Ans: y = (-1/3)x + 2
Step-by-step explanation:
Perpendicular lines have slopes whose product is -1. The slope given in
y = 3x - 2
is -3.
The slope of the perpendicular line will be m, and m needs to satisfy the equation
3 * m = -1
Hence m = -1/3.
Our perpendicular line is thus
y = (-1/3)x + b
for some constant b.
We are told that the perpendicular line goes through the point (-9,5). If so, then the following must hold:
5 = (-1/3)(-9) + b
= 3 + b
b = 2
Ans: y = (-1/3)x + 2
If c+d=40 and 10 ≤ c ≤ 30, all of the following are possible values of d EXCEPT,
A. 7
B. 14
C. 21
D. 28
Answer:
A. 7
Step-by-step explanation:
If you were to solve for c by using d as 7 you would get:
c+7=40
c would then equal 33, which is greater than 30
Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month?
Answer:
$840
Step-by-step explanation:
First, multiply 70 by $150 to get the total amount the Alonzo earned
70 x 150 = 10,500
Then, multiply 10,500 by 1.08 to find the total amount made with commissions.
10,500 x 11,340
Finally, subtract 10,500 from 11,340 to find the amount of money earned from commissions.
11,340 - 10,500 = 840
Answer:
$840
Step-by-step explanation:
Start by finding the total profit made:
70 • $150 = $10500
Then multiply the total by the commission rate, %8, which is equal to 0.08:
$10500 • 0.08 = $840
The answer is $840
I really need help with the last one if you could help it would be awesome! Tysm.
it’s the second one..................
A ladder is leaning against a house so that the top of the ladder is 12 feet above the ground. The angle the ladder makes with the ground is 51°. How long is the ladder?
12•sin51°
12/cos51°
12•cos51°
12/sin51°
None of these
Answer:
12/sin5°
Step-by-step explanation:
This angle can be calculated using the law of sine:
sin(angle)=opposite cathete/hypothenuse
sin(angle)=wall/ladder
In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.
sin(angle)=wall/ladder
sin(angle)*ladder=wall
ladder=wall/sin(angle)
Now the given values are used:
ladder=wall/sin(angle)
ladder=12ft/cos(51°)
Jenny and her children went to the SeaWorld.She purchased adult ticket for herself and children tickets for her 2 boys. Tickets cost $39.99 for one adult and $19.99 for each child. Let x represent the number of adult ticket purchase and y represent the number of child tickets purchase. Write an expression to represent the total cost of the tickets Jenny purchased
Given:
She purchased adult ticket for herself and children tickets for her 2 boys.
Cost of one adult ticket = $39.99
Cost of one child ticket = $19.99
To find:
The expression to represent the total cost of the tickets Jenny purchased.
Solution:
Let x represent the number of adult ticket purchase
and y represent the number of child tickets purchase.
Cost of one adult ticket = $39.99
Cost of one child ticket = $19.99
Total cost = 39.99x + 19.99y
Therefore, the expression for total cost is 39.99x + 19.99y.
She purchased one adult ticket and 2 child tickets.
Substitute x=1 and y=2 in the above expression.
Total cost = 39.99(1) + 19.99(2)
= 39.99 + 39.98
= 79.97
Therefore, the required expression to represent the total cost of the tickets Jenny purchased is 39.99(1) + 19.99(2) and total cost is $79.97.
Order the expressions from least to greatest.
22 x 5
111
82 – 60
Answer:
82 - 60, 22 × 5, 111
Step-by-step explanation:
Solve the expressions:
22 × 5 = 110111 = 11182 - 60 = 22Order the expressions from least to greatest:
The third expression has the least value, so it is firstThe first expression has the next greatest value, so it is secondThe middle expression has the greatest value, so it is lastWrite out the expressions from least to greatest:
82 - 60, 22 × 5, 111
[tex]\frac{3}{5} /8[/tex]
Answer:
[tex]\huge\boxed{\frac{\frac{3}{5}}{8}=\dfrac{3}{40}}[/tex]
Step-by-step explanation:
[tex]\dfrac{a}{b}=a:b\\\\a:b=a\cdot\dfrac{1}{b}\\\\========================\\\\\dfrac{\frac{3}{5}}{8}=\dfrac{3}{5}:8=\dfrac{3}{5}\cdot\dfrac{1}{8}=\dfrac{3\cdot1}{5\cdot8}=\dfrac{3}{40}[/tex]
Plz help me quickly
what is the product of 9⋅(−4)⋅(−4)⋅(−7)
A. −1008
B. −252
C. 252
D. 1008
Answer:
A. -1008
Step-by-step explanation:
9x-4=-36
-36x-4=-144
-144x-7=-1008
Answer:
just go on playstore and search for photomath
tavon has a $50 gift card that loses $2 for each 30-day period it isnt used. he has a $40 card that loses $1.50 for each 30-day period day it is not used. write and solve an equation to determine the number of 30-day periods until the value of the gift cards will be equal. what will the value of each card be when they have equal value?
Answer:
bmbmvm mbxmvxkbxkhxkbxkhxkhxkhxkhxkbxkhxkgx୮୬୩୭୪୨୭୪୨୭୨୭୨୭୪୭୪
Answer:
Answer:
Let the number of 30 day period be = p
Step-by-step explanation:
part b= So, there will be 20 30-day periods until the cards will be equal in value. The answer is $10
Divide £506 in the ratio 2:4:5
•£92, £184 and £230
•£92, £184 and £240
•£92 , £180, £234
Answer:
2x+4x+5x=506
11x=506
x=46
92:184:230
HELP!!! RIGHT NOW!! Please solve the problem as soon as possible!
Answer:
The domain is continuous and the weight y of x identical hardcover books
Step-by-step explanation:
Discrete means non continuous data. This is continuous and equal so the domain is continuous.
Also, precipitation each week can vary so that won't work. Eating carrots each day can also vary so that doesn't work. The cost of an item can vary almost every day! So that is not true.
Therefore it is the last one, because it is identical and all of the coordinates make (1,3).
Hope this helps! :)
Please help me. WILL GIVE BRAINLIEST
Answer:
d
Step-by-step explanation:
Answer:
third option
Step-by-step explanation:
Given that x = - 2 + [tex]\sqrt{8}[/tex] is a root
Complex roots always occur as conjugate pairs , thus
x = - 2 + [tex]\sqrt{8}[/tex] is a root then x = - 2 - [tex]\sqrt{8}[/tex] is a root
The required factor is then
(x - (- 2 - [tex]\sqrt{8}[/tex] ) )
what is 698475.50585057 multiplied by three
Answer:
2,095,426.517
Step-by-step explanation:
From the question above we are required to find the product of 698475.50585057 and 3
Therefore the product can be calculated as follows
698475.50585057 × 3
= 2,095,426.517
Hence 698475.50585057 multiplied by 3 is 2,095,426.517
Q.3] Formula of (a - b)3 is
29.8 is 10 times as much as what
Answer:
298
Step-by-step explanation:
29.8 is 10 times as much as 298
The required proportion value is 2.98 which is equal to one-tenth of 29.8.
Given that,
To determine 29.8 is 10 times as much as a number.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number be x,
According to the question.
29.8 = x10
x = 29.8 / 10x
x = 2.98
Thus, the required proportion value is 2.98 which is equal to one-tenth of 29.8.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
FIND MEASURE 1 AND 3
PLS HELP ME
geometry
Answer:
1 = 45
3 = 45
Step-by-step explanation:
[tex]\angle {1}[/tex] and [tex]\angle {3}[/tex] is 45 degrees since the unmarked angle is 90 degrees, meaning that BOTH [tex]\angle {1} and \angle {3}[/tex] are equal.
an auto mechanic earns $498.75 in 35 hours during the week. his pay is $2.50 more per hour on weekends. if he works 6 hours on the week, how much does he earn?
Answer:
100.5
Step-by-step explanation:
divide 498.75 by 35
whatever you get from that add 2.50
then times it by 6
how do you write y-2=-1/3(x-7)
Answer:
y= -1/3 + 13/3
Step-by-step explanation:
y-2=-1/3(x-7)
Use the distributive property to simplify the right side of the equation
y-2=(-1/3 * x) + (-1/3 * -7)
y-2=-1/3x + 7/3
Add 2 to both sides get the y by itself. 2 can be expressed as 6/3
(y-2) + 2=(-1/3x + 7/3) + 6/3
y= -1/3x + 13/3
3n - 7m for n = 5 amd m = 4
Answer:
-13
Step-by-step explanation:
first you will subsitute 5 for n in the equation to get 3(5)-7m
next you will subsitute 4 for m in the equation to get 3(5)-7(4)
then solve: 3x5= 15
7x4= 28
15-28= -13
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
Answer:
Step-by-step explanation:
x + 64 > = 120 (thats a greater then or equal sign)
x > = 120 - 64
x > = 56...he needs to collect at least 56 more
Share 96 sheep in the ratio 7:1:4
Answer:
56:8:48
Step-by-step explanation:
1] add th eratio numbers together
7+1+4=12
2} write the ratio as fractions
7/12 1/12 4/12
3] use the formula (ration number/total number * number of sheeps)
a] 7/12 * 96 = 56
b] 1/12 * 96 = 8
c] 4/12 * 96 = 48
3] write your answer as a ration
7 : 1 : 4 = 56 : 8 : 48
Answer:
The answer is 56 : 8 : 32
Step-by-step explanation:
7 + 1 + 4 = 12
7/12 x 96 = 56
1/2 x 96 = 8
4/12 x 96 = 32
An item has a listed price of $70. if the sales tax sales is 8% , how much is the sales tax ( in dollars ) ?
Answer:
$5.60
Step-by-step explanation:
$70 ⋅ 0.08 = $5.60
(I could be wrong. Sorry if I am. Don't get mad at me)
Hope I help :)
Please consider Brainliest :)
What is the equation of a line perpendicular to y = -5x + 4 that passes through (-10, 6)?
Answer: y= 1/5 x + 8
Step-by-step explanation:
To get a perpendicular line, take the reciprocal of the original "m" in the equation and reverse the sign.
- 5 becomes +1/5
Then substitute the y and x values from the given coordinate into the new equation and solve for b
y= mx+b
6=1/5 (-10) + b
6 = -2 +b
8 = b rewrite the new equation and substitute 8 for b
y= 1/5 x + 8
The attached screenshot shows the lines and the point.
What is the equation of the line?
Explain.
Answer:
y = -2/1x-2
Step-by-step explanation:
If each unit happens to be 1 then this will be correct, but it is hard to determine the equation without units.
5 less than triple the quotient of a number x and 7
Answer:
5 less than triple the quotient of a number x and 7 is 3(x ÷ 7) - 5
Please HELP!!!!!!!!!
20 POINTS!
Please help I’m extremely confused!!!! (Worth 40 points)
Answer:
0.025
Step-by-step explanation:
Answer:
0.029
Step-by-step explanation:
1 milligram is equivalent to 0.001 grams, so 29*0.001=0.029.
John is 5 years older than Randy. Oscar is twice as old as Randy. How old are each of the three boys is the sum of their ages is 85?