Answer:
9 runners
Step-by-step explanation:
Number of runners who started race = 45
Fraction that dropped off in the first half =. 2/3
Fraction of the remaining that dropped of in the second half = 2/5
Number of runners who dropped off in the first half :
(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners
Runners left = (45 - 30) = 15
Number who dropped off in the second half :
(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners
Number of runners who finished the race :
(15 - 6) = 9 runners
How would you solve this?
Answer:
For the equation, you should subtract 2x on both sides to get -y = -2x - 4. Flip the y's negative sign to get a proper function which is y = 2x + 4. The y-intercept is at (0, 4) and each unit will move two units up along the x-axis.
John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month
Answer:
tricky picky question pal,
Step-by-step explanation:
What are the awnswes
Answer:
d > -7.
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
I Drive 89 miles in 3 days what is my rate of miles to the amount of days I drove
Answer:
29.666...
Step-by-step explanation:
Answer:
29. Remainder: 2/3
Step-by-step explanation:
89/3 = 29.6666.
Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?
Write your answer as a mixed number in simplest form.
Answer:
116/8 - 87/8 = 29/8 = 3 5/8 gal
Step-by-step explanation:
50 – 5(4.3 – 1.3) ÷ 0.5
Answer:
(0.5, 1.3)(0.5, 1.3)
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
A number is divided by 2. Then 4 is added to the quotient. Next, the sum of these numbers is multiplied by 3. The result is 21. Find the number.
I need the answer ASAP
Answer:
The number is 6.
Step-by-step explanation:
Work the question backwards.
21÷3=7
7-4=3
3×2=6
And if you need proof.
6÷2=3
3+4=7
7×3=21
What is the solution set for the inequality below
-3x + 15 < 18
Answer:
x > -1
Step-by-step explanation:
-3x + 15 < 18
Subtract 15 from each side
-3x + 15-15 < 18-15
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1
You go to the mall to make some purchases. You buy 3 dresses which cost $59.99 each and a pair of shoes that cost $75. What is the bill you will pay if the tax is 8%?
Plzzzz plzzz plzzz ps keiskskks
Answer:
42
Step-by-step explanation:
x/6=7
x=42
Answer:
42 should be the answer
Step-by-step explanation:
x ÷ 6 = 7
x ÷ 6 x 6 = 7 x 6
x = 42
43% of businesses in the US require a doctors note when an employee takes sick time. You randomly select nine businesses and ask if it requires a doctors note when an employee takes sick time. Find the probability that the number who say they require a doctors note is at least 5
Answer:
Step-by-step explanation:
Hihihihojohihij
If g(x) = x + x(tothepowerof2)?, find g(-3).
g(-3) =
Answer:
6
Step-by-step explanation:
g(x) = x + x²
g(-3) = -3 + (-3)² = -3 + 9 = 6
Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3
Answer:
-3
Step-by-step explanation:
[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]
Answer:
-3
Step-by-step explanation:
i forgot how to do the log thingy but the guy on top is also correct
simplify [tex]\sqrt[4]{6^4}[/tex]
Answer:
6
Step-by-step explanation:
We can rewrite the expression as
(6^4) ^ (1/4)
We know that a^ b^c = a^ ( b*c)
6^4 ^ (1/4)
6 ^ ( 4*1/4)
6
Answer:
6
Step-by-step explanation:
[tex] \sqrt[4]{ {6}^{4} } [/tex]
The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer
[tex]6[/tex]
x-2y = 12
15x + 3y = -44
Elemination
Answer:
x - 2y = 12--------------eq(1)15x + 3y =-44--------------eq(2)multiply the 1st equation by 15 therefore we get a new equation..and we mark it as 3rd eq15x - 30y = 180-------eq(3)15x + 3y =-44--------------eq(2)now you can see (x) term in both the equations are the same...sothere is a law in elimination methodif the terms are equal we subtract the rest without the equaled termif the terms are different we add the rest without the different term so here term are equal so we subtracteq(3)-eq(2)-30y -3y = 180 -(-44)-33y = 224y = -224/33then let's get the answer for (x) term by substitute the answer we got for y to any of the above equation without our new equation (3)x - 2y = 12--------------eq(1)x - 2 (-224/33) = 12x = -52/33answers x = -52/33y = -224/33please help i need this asap
Answer:
Step 1
Step-by-step explanation:
He didn't distribute the 5 to the 3 inside the parentheses in the first term, or the 2 to the 2 in parentheses in the second term. If he had distributed right, the equation would be 10x-15+14x+4-23
Josh is 6 years older than 4 times Kim's age. the sum of their ages is less than 31.
what is the oldest Kim could be?
Answer:
4
Step-by-step explanation:
31 - 6 = 25
25/4 = 5
because its LESS than that, it has to be lower than 5, therefore its 4.
Kim should be 12 years old.
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Josh is 6 years older than 4 times Kim's age and the sum of their ages is less than 31.
From the information, let's consider Josh's age be J and that age Kim's be K
As given,
J = 6 + K ..............(i)
And,
J+K < 31
Substituting in eq(i)
6+K+K < 31
2K < 25
K < 25/2
K < 12.5
Since, Kim's age should be less than 12.5
Hence, Kim's age is 12 years.
For more references on inequality, click;
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What is the answer???
Answer:
A. Translation, Translation
Step-by-step explanation:
The pre-image was translated 1 unit up then it was translated 4 unit to the right.
HEELLPPP!!!!! fastttt plzzzzz!
The sales for products sold at an electronic store are below. What percent of the products sold were speakers?
Answer:
6.00%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
y - 7/8 = 3/4
what is y
;-;
Answer:
y = 13/8
Step-by-step explanation:
Here are the steps I did:
1. y - 7/8 = 3/4 x 2/2
2. y - 7/8 + 7/8 = 6/8 + 7/8
3. y = 13/8
Answer:
Y in (-oo:+oo) Y- (7/8) = 3/4 // - 3/4. Y- (7/8)- (3/4) = 0. Y-7/8-3/4 = 0. Y-13/8 = 0 // + 13/8. Y = 13/8. Y = 13/8.
Step-by-step explanation:
what is Use the table to solve the inequality 2x<2.
x −1 0 1 2 3
2x
Answer:
x less than 1
Step-by-step explanation:
If 9x - 11= 12, what is the value of 6x ?
Answer:
15.333...
Step-by-step explanation:
9x-11=12
9x-11(+11)=12(+11)
9x=23
23/9x= 2.555...
2.555(6) = 15.333...
What will be the rule?
Answer:
Step-by-step explanation:
I haven't done this in a long time so I don't know how you would write this but I will explain it.
For every 6 in puts you will get 1 out put.
also for the blank space on 42 is 7.
Hope this helps!!
what is the volume of the cylinder below?
Answer:
option B is the correct answer for this question
What is the probability of spinning an odd number
Answer:
If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be 23 . However, if there are 11 spaces, the probability will be 611
help please!!! will give brainliest!!
Answer:
try one or three
Step-by-step explanation:
5/6 or 5/9
Answer:
Step-by-step explanation:
It’s A
Use the Distributive Property to rewrite the expression in factored form.
5x - 10
16p + 24c + 32w
I used all my points please help
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
Is the following statement true or false?
The triangle proportionality theorem only applies to right triangles.
A.) False
B.) True
I think it is false
I'm not sure if this is correct
MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.
Answer:
A = 80 S =70
Step-by-step explanation:
#Adults tickets = A
#Students tickets = S
A + S = 150
5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether
3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether
5A + 3S = 610 (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)
Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.
A + S = 150
5A + 3S = 610
Substitution:
A = 150 - S (Rearrange the first equation by moving S to the other side)
Substitute into the other equation
5 (150 - S) + 3S = 610
750 - 5S + 3S = 610 Combine like terms : -2S = -140
Solve for S = 70
Substitute into A + S = 150 A + (70) = 150
A = 80
Could someone help me on this assignment I don’t quite understand
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes,
Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Which graph could represent Liana's distance from the campsite and time?
Answer:
The answer would be A
Step-by-step explanation:
The Y axis represents the distance Liana traveled from 0 (campsite). the X axis represents the amount of time.
Liana travels away from the campsite for 30 minutes (slope), and then she stops completely for 10 minutes (no Y axis moments). She then returns back to camp faster (minutes)
Every other answer is incorrect as they maintain a single block from the graph, and each block is counted as 5 minutes. The only answer that has that 10 minute wait is answer A
The correct graph of this situation is showing in Graph 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes,
And, Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Now,
Let time is showing on x - axis.
And, Distance from campsite in on y - axis.
Hence, In graph 2;
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes, And, Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Learn more about the mathematical expression visit:
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