Answers
Answer:
The correct answer is:
Ken will have run 3 laps and Hamid will have run 4.
Explanation:
To find this, we first find the number of seconds that will have passed when they meet again. We use the LCM, or least common multiple, for this. First we find the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM, we multiply the common factors by the uncommon. Between the two numbers, the common factors are 2, 2 and 5. This makes the uncommon 2, 2, and 3, and makes our LCM
2(2)(5)(2)(2)(3) = 240
This means every 240 seconds they will both be at the start line.
Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.
Related Questions
What is the volume of this sphere?
12pi cm^3
36pi cm^3
288pi cm^3
864pi cm^3
Answers
Answer:
Option 3
Step-by-step explanation:
Volume of a sphere:
(4/3)×pi×r³
(4/3)pi × 6³
288pi cm³
Tegan biked 5 1/3 miles today, and Jack biked 3 3/4 miles. How many times the length of Jack’s bike ride was Tegan’s bike ride?
Answers
Answer:
5 1/3= (3*5+1)/3=16/3
3 3/4=(4*3+3)/4=15/4
16/3: 15/4=16/3*4/15=64/45=1.422
Step-by-step explanation:
Answer:
1.422
Step-by-step explanation:
Find the equation of the line that is perpendicular to y = 2x + 4 and passes though the point (2, –2).
Answers
Answer:
the point is 3 i think
Step-by-step explanation:
Answer:
B y=-1/2x -1
Step-by-step explanation:
A wise man once said “400 reduced by 3 times my age is 244.” How old is the wise man?
Answers
Answer:
52 years old
Step-by-step explanation:
let this mans age be a
400-3a=244
400=244+3a
400-244=3a
156=3a
a=52
Answer:
52 years old
Step-by-step explanation:
Let x= man's age
400-3x=244
-3x=-156
x=52
The man is 52 years old.
If 4+2=26,8+1= 79 and 6+5=111 then what is 7+3
Answers
The answer is 70.
Explanation:The given pattern seems to follow the rule of multiplying the first number by the sum of its digits and adding the result to the second number:
For example:
4 + 2 = (4 x (4+2)) = 26
8 + 1 = (8 x (8+1)) = 79
6 + 5 = (6 x (6+5)) = 111
Therefore, for 7 + 3:
7 + 3 = (7 x (7+3)) = 70
What does the transformation from f to g represent?
F(x)= √x and g(x)=6 √x
Answers
Answer:
You have to have x to answer this question
Step-by-step explanation:
Your bill at a restaurant is $4.65, and you decide to tip the waitress 90e. Because
you have only 20e in nickels, you give her six dollar bills and ask for change. The
waitress has only two quarters in change. Without changing your plans, how do
you solve this problem?
Answers
Answer: I will give her $6.05 and collect the $0.5 in her possession
Step-by-step explanation:
Before proceeding, we need to know the quantity or equivalent of some of the things mentioned.
a.Nickel:- a nickel is 5¢, this means that the 20¢ in nickels that you had in your possession while in the restaurant is equal to (20/5) 4 nickel coins.
b. Two quarters :- Just as the name implies; 2 quarters of a dollar is [(1/4) + (1/4)] of 1 dollar = 50 cent.
We need to calculate the entire amount that needs to be given to the waitress. Since your bill after eating at the restaurant is $4.65 and the intended tip is 90¢, the sum that should be offered to her =
$4.65 + $0.90
= $5.55 (five dollars : fifty five cent).
According to the question, you have only 20 cents in nickels, so although you have five dollar bills to give the waitress, 55¢ is not available. Again, if you offer her six dollar bills, she wouldn't be able to give you a change of 45¢ ($6.00 - $5.55) because she only has 2 quarters of a dollar (50¢).
Now, since you are in possession of 20¢ in nickels, the best way to tackle the situation is to demand the two quarters that she has while handing out the 6 dollar bills and 1 nickel (5¢) to her. So, you should simply offer her $6.05 while you collect $0.50 from her in return)
Recall that the total amount that must be given to her (bill + tip) = $5.55
Then subtracting 50¢ from $6.50¢ will give:
$6.05 - $0.50
= $5.55
Therefore you have given her exactly $5.55¢ if you offer her six dollars five cent and collect fifty cents in return.
Call an integer $n$ oddly powerful if there exist positive integers $a$ and $b$, where $b>1$, $b$ is odd, and $a^b = n$. How many oddly powerful integers are less than $2010$?
Answers
Answer:
There are 16 oddly powerful integers less than 2010
Step-by-step explanation:
∵ b is an odd integer
∵ b > 1
∴ The first value of b is 3
∵ a is an integer
- We can use a = 1, 2, 3, ..........
∵ [tex]a^{b}=n[/tex]
∵ n < 2010
- Let a = 1, 2, ............... 12 because 12³ is greatest integer < 2010
∵ 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343,
8³ = 512, 9³ = 729, 10³ = 1000, 11³ = 1331, 12³ = 1728
∴ There are 12 oddly powerful integers with b = 3
Now the second value of b is 5
[tex]1^{5}=1[/tex] but we took 1 before so we will start with 2
∵ [tex]2^{5}=32[/tex], [tex]3^{5}=243[/tex], [tex]4^{5}=1024[/tex]
- [tex]4^{5}[/tex] is the greatest integer < 2010
∴ There are 3 oddly powerful integers with b = 5
Now the third value of b is 7
∵ [tex]2^{7}=128[/tex]
- [tex]2^{7}[/tex] is the greatest integer < 2010
∴ There is 1 oddly powerful integers with b = 7
Now the fourth value of b is 9
∵ [tex]2^{9}=512[/tex]
- [tex]2^{9}[/tex] is the greatest integer < 2010
- But we used 512 before
∴ There is no oddly powerful integers with b = 9
- 9 is the greatest value of b which makes [tex]a^{b}<2010[/tex]
∵ 12 + 3 + 1 = 16
∴ There are 16 oddly powerful integers less than 2010
(−0.9−2.5−(−8.2))·(−0.625)
Answers
Answer:
What is the question?
Step-by-step explanation:
There's no definitive question being asked.
Answer:
-3
Step-by-step explanation:
...
The park modeled consists of a rectangular area and 2 semicircular areas the area of the rectangle part of the park is 60000
Answers
Answer:
1,228 yards
Step-by-step explanation:
I think the photo below is your full question
And here is my answer:
Area of a rectangle = bh
60,000 = 300h
<=> h = 200
and the Circumference + 300 + 300 +πd + 300 + 300 + 3.14 x 200 + 300 + 300 = 1,228 yards
Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Which of the following statements is true? Select all that apply. A. The probability of the pointer landing on an even-numbered section is 66.67%. B. It is impossible that the pointer will land on 1. C. It is less likely that the pointer will land on an odd-numbered section. D. It is certain that the pointer will land on a number less than 6. E. The spinner is fair.
Answers
Answer:
A, B and C are the correct answers.
Step-by-step explanation:
Correct:
A - There are 4 even numbers all together. 2 is repeated twice, there is a 4 and a 6. 4 divided by 6 is 0.666 repeated. Multiply by 100 which gives you 66.666 repeated and then round up, so now we have 66.67%. This is the probability.
B - It’s impossible that the pointer will land on 1 because there in no 1.
C - It’s less likely because there are only two odd numbers, 3 and 5. Compare that to the 4 even numbers. 4 > 2. Therefore the odd numbers, or the two, is less likely than the even numbers, the 4.
Incorrect:
D - There is only one 6 out of 6 numbers total. So 1 out of 6. We cannot be certain, it fact, it would be said that it’s very unlikely for the pointer to land on the 6.
E - The spinner is most certainly not fair. The spinner has one of each number except for the 2. There are double twos. On a normal spinner you would see a number 1 replace on of the 2. This ways the spinner will be 1 through 6.
If it makes any of you more confident in this answer, my assessment also had this question and I got it correct by answering with A, B and C.
Final answer:
The probability of the pointer landing on an even-numbered section is 33.33%. The pointer can't land on 1. The spinner is not fair.
Explanation:
To find the probabilities in this scenario, we need to analyze the spinner. The spinner has 6 equal sections, numbered 2, 2, 3, 4, 5, and 6. There are:
2 even-numbered sections (2 and 4)3 odd-numbered sections (2, 3, and 5)1 section with a number less than 6 (4)Based on this analysis, we can determine the following statements:
Statement A is false: The probability of the pointer landing on an even-numbered section is 33.33% (2 out of 6 possibilities).Statement B is true: The pointer can't land on 1 because it is not one of the numbered sections on the spinner.Statement C is false: The probability of the pointer landing on an odd-numbered section is 50% (3 out of 6 possibilities), which is the same as the probability of landing on an even-numbered section.Statement D is true: The pointer will certainly land on a number less than 6 because all the numbered sections on the spinner are less than 6.Statement E is false: The spinner is not fair because the probabilities of landing on different sections are not equal.
need help asap!!!!!
Answers
Answer:
The correct answer is A.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Answers
Answer:3
Step-by-step explanation: So if we start by breaking it down -5+ (5+3) we do the parentheses first (5+3) which equals 8. Then we are left with (-5)+8 and it would equal 3.
Final answer:
The expression -5 + (5 + 3) simplifies to 3 by first evaluating the expression inside the parentheses to 8, and then subtracting 5 from 8 to get the final result.
Explanation:
The given expression is -5 + (5 + 3). To simplify this expression, we can use the Associative Property of addition, which allows us to change the grouping of the numbers. We will also use the properties of addition and subtraction. Here is the step-by-step process:
First, simplify the expression inside the parentheses: 5 + 3. This equals 8.Now, the expression is -5 + 8. According to the rule for adding two numbers with opposite signs, subtract the smaller number from the larger number and keep the sign of the larger number. Thus, 8 - 5 equals 3.Since 8 is larger than 5 and has a positive sign, the final answer is +3 or simply 3.Therefore, the simplified expression is 3.
Evaluate Žy - 3+ when y = 4 and z=3
Answers
Answer:
9
Step-by-step explanation:
if
Žy - 3 when y = 4 and z=3
then,
4*3-3
=9
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+18)^{\circ}∠A=(3x+18)
∘
and m\angle B=(5x+2)^{\circ}∠B=(5x+2)
∘
, then find the measure of \angle A∠A.
Answers
[tex]\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78[/tex]
Final answer:
The measure of ∠A, when ∠A and ∠B are supplementary, is found to be 78° after setting up an equation, simplifying it, and solving for x.
Explanation:
If ∠A and ∠B are supplementary angles, the sum of their measures is 180°. We have m∠A=(3x+18)° and m∠B=(5x+2)°. Set up an equation to find the value of x:
3x + 18 + 5x + 2 = 180.
Simplify and solve the equation:
8x + 20 = 180
8x = 160
x = 20
Now, substitute x back into the expression for m∠A:
m∠A = 3(20) + 18
m∠A = 60 + 18
m∠A = 78°
So, the measure of ∠A is 78°.
In rhombus, WY= 18 cm and XV=8 cm.
Find the area of the rhombus.
Be sure to include the correct unit in your answer.
Answers
The area of the rhombus is [tex]72 \ cm^2[/tex]
Explanation:
It is given that in a rhombus VWXY, the length of the diagonals are [tex]\mathrm{WY}=18 \ {cm}[/tex] and [tex]X V=8 \ {cm}[/tex]
The area of the rhombus can be determined by multiplying the diagonals and dividing by 2.
The area of the rhombus can be determined using the formula,
[tex]A=\frac{p q}{2}[/tex]
where p and q are diagonals of the rhombus.
Substituting the values in the formula, we have,
[tex]A=\frac{18\times 8}{2}[/tex]
Multiplying the numerator, we get,
[tex]A=\frac{144}{2}[/tex]
Dividing by 2, we have,
[tex]A=72 \ cm^2[/tex]
Thus, the area of the rhombus is [tex]72 \ cm^2[/tex]
y=x+2 2x-y=-4 Solve the systems of equations
Answers
Answer:
Step-by-step explanation:
Given that,
y=x+2 equation 1
2x-y=-4 equation 2
This is a simultaneous equation.
Substitute equation 1 into equation 2
2x-y=-4. Since y=x+2
2x-(x+2) = -4
2x-x-2 = -4
x-2 = -4
x = -4+2
x = -2
Also from equation 1
y=x+2
Since x=-2
y=-2+2
y=0
Then, solution (x, y) = (-2,0)
Answer: x = -2, y = 0
Step-by-step explanation:
[tex]y=x+2\\2x-y=-4[/tex]
Substitute y = x+2 in [tex]2x-y=-4[/tex]
Then we get, [tex]2x-(x+2)=-4[/tex]
[tex]2x-x-2=-4\\x-2=-4\\x=-4+2\\x=-2[/tex]
Then substitute x = -2 in any equations, just only one equation. For me, I'd substitute x = -2 in y = x+2
[tex]y=-2+2y=0[/tex]
So the answer is x = -2 and y = 0
y=-2x²
how do I find the vertex and other points to graph
Answers
Now back to the question, the vertex would be (0,0). And to find other points, you make a table.
X | Y
2 | -8
1 | -2
0 | 0
-1 | -2
2 | -8
To find the X’s you just put the numbers that are to the left and right of 0 (which is the x of the vertex). Then, you plug in those numbers into the equation and solve. You will notice a pattern with the Y’s every time you make a table for a parabola. I hope this helps :)
A valume of a graduated cylinder is 490 cubic cm.
The radius of the base is 7 cm. What is the height??
Please help me
Answers
Answer:
The height is 3.183 cm.
Step-by-step explanation:
The volume [tex]V[/tex]of a cylinder with base radius [tex]r[/tex] and height [tex]h[/tex] is given by
[tex]V = \pi r^2h[/tex]
Now, if the volume and the radius is given, we can use this equation to work out the height of the cylinder:
[tex]h= \dfrac{V}{\pi r^2 }.[/tex]
For our graduated cylinder,
[tex]V = 490cm^3[/tex]
[tex]r = 7cm[/tex];
therefore,
[tex]h = \dfrac{490cm^3}{\pi (7cm)^2 }[/tex]
[tex]\boxed{h = 3.183\:cm}[/tex]
Thus, the height of the graduated cylinder is 3.183 cm.
WILL GIVE BRAINLIEST ANSWER!
Given the parent function f(x)=|x|, which equation would occur if the function is vertically compressed by 13, shifted down 6 units, and shifted right 5?
f(x)=3|x+5|−6
f(x)=13|x−5|−6
f(x)=13|x+5|−6
f(x)=13|x−6|+5
Answers
[tex]f(x)=13|x-5|-6[/tex] is the equation represented by all the operations.
Step-by-step explanation:
The given function is
[tex]f(x)=|x|[/tex]
It is vertically compressed by a factor of 13 then the function becomes,
[tex]f(x)=13|x|[/tex]
It shifted down 6 units, then the function becomes,
[tex]\mathbf{f}(\mathbf{x})=\mathbf{1 3}|\boldsymbol{x}|-\boldsymbol{6}[/tex]
It shifted right by 5 units then the function becomes,
[tex]f(x)=13|x-5|-6[/tex]
Thus the resultant equation thus obtained is [tex]f(x)=13|x-5|-6[/tex]
write a real word problem that can be represented by the equation ( 12 + 14 ) x h / 2 = 52. Then solve the problem.
Answers
The area of a trapezoid is given by:
[tex]A=\frac{(B_{1}+B_{2})h}{2} \\ \\ \\ A;Area \\ \\ B_{1}:First \ base \\ \\ B_{2}=Second \ base \\ \\ h:Heigth[/tex]
So given the equation:
[tex]\frac{( 12 + 14 )h}{2} = 52[/tex]
We can write a real problem as:
The bases of a trapezoid are [tex]12cm \ and \ 14cm[/tex] and the area of it is [tex]52cm^2[/tex]. What is the height of the trapezoid?
Solving:
[tex]\frac{( 12 + 14 )h}{2} = 52 \\ \\ 26h=104 \\ \\ h=\frac{104}{26} \\ \\ h=4cm[/tex]
Finally, the height of the trapezoid is 4cm
A shipping company charges $6 to skip a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?
Answers
Step-by-step explanation:
A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.
lets make an assumption that the total weight of the shipment is x pound and cost for shipping is y.
the shipping company charges $6 for the first pound.
Up to now the charge is y=6
After 1 pound, i.e for the remaining (x-1) pounds, they charge $2 per pound.
So, the total charge will be, y=6+2(x-1)
weight is always starting from zero as there is no negative weight.so X>0
so the equation is 6(2x-1), where X is more than 0
Answer:
Its A on edge, f(x)=6+2[x-1], the brackets are rounding up
3. What is the value of the x in the solution to the system of linear equations below?
y = 8x − 8
3x + 2y = −16
A x = 0
B x = 2
C x = −5
D x = −8
Answers
Answer:
B x = 2
Step-by-step explanation:
Step 1: Add -2y to both sides.
−75x+2y+−2y=−16+−2y
−75x=−2y−16
Step 2: Divide both sides by -75.
−75x /−75 = −2y−16 −/75
x= 2 /75 y+ 16 /75
Answer:
x= 2 /75 y+ 16 /75
Answer:
x=0
Step-by-step explanation:
3x+2(8x-8)=-16 plug the 1st y for the 2nd y
----------------------------------------------
3x+16x-16=-16 distribute the 2
--------------------------------------------
19x -16 = -16 combine like terms
+16 +16 add 16 both sides
--------------------------------------------
19x=0
19 19 divide 19 both sides
x=0
Hope This Helps
ANSWER THEM ALL CORRECTLY PLEASE! 20 POINTS!
Kellie and her sister Ashley are training for a race. Kellie ran 8 miles in 72 minutes. Ashley ran 12 miles in 102 minutes.
(a) What is Kellie’s minute-per-mile pace?
(b) How far did Ashley run in 34 minutes?
(c) What was the difference in Kellie and Ashley’s times after they ran 4 miles?
Answers
A. Kellie's minute-per-mile pace 9 minutes per mile.
To find this, divide her time (72 minutes) by the number of miles she went (8). 72 divided by 8 is 9 minutes per mile.
B. Ashley ran 4 miles in 34 minutes. First, divide Ashley's time (102 minutes) by the number of miles she went (12). 102 divided by 12 is 8.5 minutes per mile. Then divide 34 by 8.5 to get how far she went in that time. Thus meaning 4 miles.
C. The difference in time between their 4 miles is 2 minutes. Kellie took 36 minutes to go 4 mile (4 miles times 9 minutes is 36 minutes) and Ashley took 34 minutes to go 4 miles (as stated in part B.) Lastly, subtract 34 from 36 to get the 2 minute difference.
I hope this helps!
Evaluate 4+2(7) help me
Answers
Answer:
18
Step-by-step explanation:
4 + 2(7)
This equation can be rewritten like this: 4 + 2 x 7
According to the order of operations, multiplication comes before addition.
So, we can go ahead and multiply 2 and 7 out:
4 + 2 * 7
4 + (2 * 7)
4 + (14)
Then, our second step is to add.
4 + 14 = 18
So, 4 + 2(7) = 18.
18 is your answer.
Please mark as Brainliest! :)
Answer:18
Step-by-step explanation:do parentheses. 4x7=14+4=18
Use △ABC, in which AB=37, AC=35, and BC=12, to answer the question.
what is the ratio for tan B?
(NEED HELP ASAP! HAVE TO FINISH TODAY!!!
Sorry If I am Annoying PLEASE DONT TAKE THIS DOWN I DONT WANNA FAIL D:)
Answers
Answer:
tan B = [tex]\frac{35}{12}[/tex]
Step-by-step explanation:
tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{35}{12}[/tex]
you brought the meat Saturday's cookout. A package of hot dogs cost $1.60 and a package of hamburger cost $5. you bought a total 8 packages of meat and you spent $23. how many packages of hamburger meat did you buy?
Answers
Answer: 4 packages of hamburger meat.
A 20 packet box of detergent sells for $5.49. What is the unit rate?
Answers
Each packet is $3.64
20 / 5.49 = 3.64
Hope This Helps!
Can I get Brainliest?
Answer:
if rounded to 5.50 it would be: .27¢ for 1 packet
Step-by-step explanation:
5.4 divided by 20 is .27 and 5.5 divided by 20 is .275 but .28 multiplied by 20 is over 5.50 which means it would be .27 cents for 1 packet :)
Solve the equation. Explain how you found your answer.
8y + 2y = 2y + 40
Answers
Answer:
y = 5
Step-by-step explanation:
Subtract 2y from either side. It'll cancel out both of them. Then the equation is 8y = 40.
Divide both sides by 8 and you get y=5
Pretty sure that's right. I have a dad who has a math degree so I think it would be right because he helps me every time.
Step-by-step explanation:
As shown first you combine like terms then you subtract 2y from both sides to get 40 by it self then you divide 8 by 40 to get y by itself hope this helps this answer is 100% correct and i was glad to help please give brainliest!
[tex]8y+2y=2y+40\\10y=2y+40\\ -2y -2y\\8y=40\\y=5[/tex]
8a+ 12a - 75 - 95 – 11a
How to combine like terms
Answers
Answer:
9a -170
Step-by-step explanation:
Answer:
9a-170
Step-by-step explanation:
8a+ 12a-11a= 9a
-75-95= -170
9a-170