Answer: he broke the record by 0.43 seconds
Problem 1
Select all of the ordered pairs (x, y) that are solutions to
the linear equation 2x + 3y = 6.
(Select all that apply.)
(0,2)
(0,6)
(2,3)
(3,-2)
(3,0)
(6, -2)
After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
The given equation is,
2x + 3y = 6
Now, substitute the corresponding points and check,
1. For points (0, 2)
2(0) + 3(2) = 6
6 = 6, this is correct.
2. For points (0, 6)
2(0) + 3(6) = 18
6 ≠ 18, this is incorrect.
3. For points (2, 3)
2(2) + 3(3) = 6
13 ≠ 6, this is incorrect.
4. For point (3, -2)
2(3) + 3(-2) = 6
0 ≠ 6, this is incorrect.
5. For point (3, 0)
2(3) + 3(0) = 6
6 = 6, this is correct.
6. For point (6, -2)
2(6) + 3(-2) = 6
6 = 6, this is correct.
To know more about equation:
https://brainly.com/question/29657983
#SPJ5
Tommy is thinking about entering a contest at the local gas station. Some of Tommy's friends explained to him that the probability of winning the free tank of gas was 0.27. Tommy understands probabilities better when they are given in ratio form. (For example 1 out of every 6 will win. Give Tommy your estimate of 0.27 probability in ratio form
Answer:
[tex]\dfrac{27}{100}[/tex]
Step-by-step explanation:
The number [tex]0.27[/tex] can be attained by the following expression
[tex]0.27=\dfrac{k27}{k100}[/tex]
Where
[tex]k[/tex] = any positive positive integer.
Let us take the minimum ratio
[tex]0.27=\dfrac{1\times 27}{1\times 100}[/tex]
[tex]=\dfrac{27}{100}[/tex]
where [tex]k = 1[/tex]
So, the probability estimate in ratio form is [tex]\dfrac{27}{100}[/tex].
Miss Sullivan owns a farm where she has a total of 28 birds and dogs the total number of legs on those animals is 70 how many dogs and how many birds are on the farm
Answer:
21 birds and 7 dogs
Step-by-step explanation:
Represent Birds with B and Dogs with D
[tex]B + D = 28[/tex] ----- Total Animals
A bird has 2 legs and a dog has 4, so:
[tex]2B + 4D = 70[/tex] ---- Legs
Required
Solve for D and B
Make D the subject in the first equation
[tex]D = 28 - B[/tex]
Substitute 28 - B for D in the second
[tex]2B + 4(28 - B) = 70[/tex]
[tex]2B + 112 - 4B = 70[/tex]
Collect Like Terms
[tex]2B - 4B = 70 - 112[/tex]
[tex]-2B = -42[/tex]
Solve for B
[tex]B = -42/-2[/tex]
[tex]B = 21[/tex]
Recall that: [tex]D = 28 - B[/tex]
[tex]D = 28 - 21[/tex]
[tex]D = 7[/tex]
Hence, there are 21 birds and 7 dogs
Divide £42 in the ratio 1:5
Answer:
This Ratio Division Calculator allows you to divide an amount by a specific ratio (with multiple ratio values, for example 2:5:9:11:18, click on the "Example" buttons for ratio division examples), if you are new to ratio division or want to understand the formulas used in ratio division you should use our Divide Ratio Calculator as this ratio division calculator assumes you already understand the basics of ratio division, you may also find our Equivalent Ratio Calculator useful. A ratio is a numerical comparison of 2 or more quantities and indicate the relative size of each quantity. Ratios are used in a number of daily activities and business markets, the Ratio Division Calculator can be used to divide a specific ratio, you can also access additional Ratio Calculators for application in math, engineering and other every day scenarios.
Step-by-step explanation:
d = c × b a ,
d = 3 × 8 4 = 6
If we divide £42 in the ratio of 1:5 so it comes 7 and 35.
Given that,
The number is £42.The given ratio is 1:5.We need to divide the above number in the given ratio.Based on the above information, the calculation is as follows:
[tex]= 42 \times 1 \div (1 + 5)[/tex]
= 7
And
[tex]= 42 \times 5 \div (1 + 5)[/tex]
= 35
Therefore we can conclude that If we divide £42 in the ratio of 1:5 so it comes 7 and 35.
Learn more: brainly.com/question/13549064
please help and if you don't know the answer the don't put a random one thank you :(
hi i think the answers C z<=16.1 good luck:)
pls don't hate on me if im wrong:(
Answer:
Your answer will be C z<=16.1
Step-by-step explanation:
How to solve this would be to divide -4 from both sides and because you are dividing a negative you have to flip the sign.
Can you explain LCM and GCD please?
(Least Common Multiple and Greatest Common Divisor)
Answer:
I got you lol
Step-by-step explanation:
Let's say you want to calculate the GCD and LCM of two numbers: 12 and 28. First, determine the prime factorizations of 12 = 2 × 2 × 3 and 28 = 2 × 2 × 7. The GCD is the string that is present in both sets of factorizations, i.e., 2 × 2 = 4. The LCM is the greatest power of all exponents; 2 × 2 × 3 × 7 = 84.
simply put, The Least Common Multiple (LCM) of two integers a and b, usually denoted by LCM (a, b), is the smallest positive integer that is divisible by both a and b.
GCD is the largest number that divides 2 numbers equally and gives remainder 0.
Which point on the y-axis lies on the line that passes
through point G and is parallel to line DF?
O (-2, 0)
0 (0,-2)
0 (0,4)
O (4,0)
Answer:
Step-by-step explanation:
y = mx + b , "m" is a slope and "b" is y-intercept (0, b)
~~~~~~~~~~
G(- 4, - 4)
Slope [tex]m_{DF}[/tex] = 2
y + 4 = 2(x + 4)
y = 2x + 4 ⇒ (0, 4)
❗️❗️PLEASE HELP QUICK❗️
(a)Find the greatest common factor of 15 and 10.
(b)Use the GCF to factor 15 -10.
(a) GCF = ?
(b) 15 – 10 = ? x ( ? - ?)
Can someone please help!! Idk what to do.
Answer:
3948 members
Step-by-step explanation:
SInce a is the initial amount, a = 2000. b represents growth factor, and the amount increases by 12% every year, so b = 1.12. Since you want to find the value in 6 years, x= 6. Therefore your equation is y = 2000 • 1.12 ^ 6. Plug it into your calculator and you get y = 3947.64, and since they are people you round up to 3948 members.
Y=-2(x-1)^2+8 a) Determine the coordinates of its turning point and state whether it is a Maximum or minimum B) Determine the y-intercept C)Determine the coordinates of the x-intercepts(if any)
Answer:
(a) The coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.
(b) The y-intercept has a value of 6
(c) The coordinates of the x-intercepts have a value of x=3 and x=-1
Step-by-step explanation:
You know y= -2*(x-1)² + 8
(a) Every quadratic function can be expressed by the canonical form:
f(x)=y= a*( x- h)² + k
where a is the principal coefficient and the ordered pair (h; k) are the coordinates of the vertex of the parabola.
The quadratic function will have a maximum or minimum value at the vertex. If a> 0, the parabola is concave, that is, it will have its branches upwards, therefore the vertex will indicate the minimum of the function. But if a <0 the parabola is convex and the vertex will indicate the maximum of the function.
Comparing the given equation with the canonical form of a quadratic function you can see that:
a=-2h=1k=8Then, the coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.
(b) The y-intercept arises from evaluating the function at x = 0. So, in this case:
y= -2*(0-1)² + 8
Solving:
y= -2*(-1)² + 8
y= -2*1 + 8
y= -2+8
y= 6
The y-intercept has a value of 6
(c) The roots or coordinates of the x-intercepts arise from evaluating the function at y = 0. So, in this case:
0= -2*(x-1)² + 8
Solving:
-8= -2*(x-1)²
[tex]\frac{-8}{-2} =(x-1)^{2}[/tex]
4= (x-1)²
√4= |x-1|
⇒ 2=x-1 → 2+1=x → 3=x
⇒ -2=x-1 → -2+1=x → -1=x
The coordinates of the x-intercepts have a value of x=3 and x=-1
8 + 4a I need an answer pronto this was the one part of math I was taught the least.
a=1/2
Answer:
Q.1 - 10
Q.2 - −54
Step-by-step explanation:
what is the equation of the line that passes through the points (2, 7) and is parallel to the line y= 4x+3
Answer:
y=4x+1
Step-by-step explanation:
7=4(2)+c
c=1
y=4x+1
Al Jebra is ordering his new bicycle from Brenda's Bike Boutique. Al knows that he wants the Grand Touring model which has 14 choices for the color, and comes with or without a sidecar, with or without phone mount. How many unique versions of the Grand Touring bike are available?
Answer:
the number of unique versions of the Grand Touring bike is 56
Step-by-step explanation:
The computation of the number of unique versions of the Grand Touring bike is shown below:
Here there are 14 color choices
Now each color could be with or without phone mount so it would be
= 14 × 2
= 28
And, each model could be sidecar or without sidecar so it would be
= 28 × 2
= 56
Hence, the number of unique versions of the Grand Touring bike is 56
What is the multiplicative inverse of One half
Answer:
2
Step-by-step explanation:
The multiplicative inverse of 1/2 is 2. To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse...
Expert Answer! Determine if the two triangles are congruent.
Answer:
SAS
Step-by-step explanation:
We have 2 sides that are congruent and the angle between them
We can use SAS ( side angle side) to prove congruency
Write each equation in standard form.
Y - 4 = -3 (x - 3)
Y + 9 = 2(x + 5)
I need help with this ASAP PLZ!!!!!!!!
Answer:
4. y = 2x -6
5. y = -x + 3
6. y = -[tex]\frac{1}{3}[/tex]x - 1
7. m= -4 and b=3
8. m= 1 and b=-7
9. y = 0.08x + 3
10. y= 3x - 19
11. y= -3x + 5
Step-by-step explanation:
Use the equation y = mx + b; where m is the slope and b is the y-intercept
4. given: m = 2 and y-int = -6; plug into equation
y = mx + b
y = 2x -6
5. given: m = -1 and y-int = 3; plug into equation
y = mx + b
y = -x + 3
6. given: m = -1/3 and y-int = -1; plug into equation
y = mx + b
y = -[tex]\frac{1}{3}[/tex]x - 1
7. given: y=-4x+3; slope m and y-intercept b are
m= -4
b=3
8. given: y=x-7; slope m and y-intercept b are
m= 1
b=-7
9. the monthly of $3 is fixed or starts the month; which is the y-intercept (another way to say is it is at 0 minutes) so b = 3. Now the rate is $0.08 per minutes and the rate is the same as the slope, m= 0.08
Using equation y=mx+b; substitute
y = 0.08x + 3
10. Given: (6,-1) and m= 3
use y=mx+b; substitute the y point into equation
-1 = 3x + b; substitue the x point into equation
-1 = 3(6) + b; solve for b
b = -19; now plug back into equation
y = mx + b or y= 3x - 19
11. Given: (2,-1) and m= -3
use y=mx+b; substitute the y point into equation
-1 = -3x + b; substitue the x point into equation
-1 = -3(2) + b; solve for b
b = 5; now plug back into equation
y = mx + b or y= -3x + 5
The formula for electrical power, \displaystyle PP , is \displaystyle P=I^{2}RP=I 2 R , where \displaystyle II is current and \displaystyle RR is resistance. The formula for \displaystyle II in terms of \displaystyle PP and \displaystyle RR is:
Answer:
I = √(P/R)
Step-by-step explanation:
Given the formula for electric power, we want to rewrite the formula in terms of I
What this means is that we want to make I the subject of the formula;
From ;
P = I^2R
I^2 = P/R
I = √(P/R)
Factorise 3x^2 +37x+70
Answer:
If it needs to be factored by grouping the answer would be (3x+7) and (x+10).
Step-by-step explanation: I don't know how to explain but I hope this helped.
What is the definition of a relation?
An association between two sets of data
Ordered pairs where each x-value is paired with only one y-value
The rules applied to a number
A set of data with a defined rule
Answer:
i did not understant your question
i think u want the definition of relation
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. A function is a type of relation.
Step-by-step explanation:
plssssssssssss markkkk meee brainlist
A relation is a collection of Ordered pairs where each x-value is paired with only one y-value.
What do you mean by domain and range of a function?
For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of x for which [y] exists.
Given is the graph of a equation
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x, y) is in the relation.
Therefore, a relation is a collection of Ordered pairs where each x-value is paired with only one y-value.
To solve more questions on functions and relations, visit the link below -
brainly.com/question/1632425
#SPJ2
Cisco collected 53 pieces of candy on Halloween. He put away 4 dozen pieces to save for later and ate the rest. What percentage of his candies did Cisco put away for later?
he put away 91% of the candy for later because 100 divided by 53 is 1.89 and 1.89 multiplied by 48 equals 90.72 which rounds up to 91. hope you get a good grade!
A movie theater runs its films continuously. One movie runs for 85 minutes and a second runs for 110 minutes. The theater has a 5-minute intermission after each movie, at which point the movie is shown again. If both movies start at noon, when will the two movies start again at the same time?
Answer:
10:30PM on the next day
Step-by-step explanation:
First movie = 85mins
intermission = 5mins
Total time = 90mins which is 1:30PM
so the first movie will start again at 1:30PM, which is at the interval of 90minutes and it will run continuously.
Similarly the second movie is 110 minutes long + 5mins intermission which is 115minutes
Time = 1:55PM
so the second movie starts again at 1:55PM and runs continuously at an interval of 115minutes.
We are interested to find when both the movie will start again at the same time, this will be least common multiple of 90 and 115.
LCM of 90,115 = 2070
Therefore after 2070minutes movie will start again at the same time.
2070mins = 34hours and 30 minutes
adding this with noon
10:30PM on the next day.
Simon wants to build a cube-shaped storage container that holds 125 cubic feet of water for some frogs he recently purchased.Using the formula, V=s3, where represents the volume of the container and represents its side length, find the length of one side of the container.
Answer:
Length of one side of the container = 5 feet
Step-by-step explanation:
Given:
V = s³
Where,
V = volume of the container
s = side length of the container
V = 125 cubic feet
Find s?
V = s³
125 = s³
Find the cube root of both sides
3√125 = 3√s³
5 = s
s = 5 feet
Length of one side of the container = 5 feet
x2 + 6x + 8 - (2x + 8)
Answer:
it simplify is [tex]x[/tex]²+4[tex]x[/tex]
Step-by-step explanation:
A new recreational sports center opens with 65 members. Each month the membership
increases by 12 members. Which equation represents the relationship between the
number of months the club has been opened, x, and the total recreational sports center
membership, y?
A y = 12x
B y = x + 12
C y = 12x + 65
D y = 65x + 12
What is the equation for This graph ?
25 POINTS!!!
Need Help! Find x, y, and z!
x³+y³+z³=k
Answer: N/A
Step-by-step explanation: you would need K in order to find the value of X,Y,Z
Answer:
If k = 99
then
x = 8
y = 27
z = 64
Step-by-step explanation:
You have to use a different number for each letter so you can but in any combination the answer just has to make sense as in you added up x, y, and z to get k.
The function h(n) gives the number of person-hours it takes to assemble n engines in a factory. What is a reasonable domain for h(n)?
Answer:
For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
plz helpppppppp
two right circular cones have the same radius as 7cm and the sum of their heights is 42cm . then find their total volume.
Answer:
hope it helps..
Step-by-step explanation:
If this helps please comment on my answer...
Answer:
hope it's helps you have a great day keep smiling be happy stay safeSolve each equation. Check your solution.
Answer:
y = 15
Step-by-step explanation:
-1/3 y -6 = -11
Add 6 to each side
-1/3 y -6+6 = -11+6
-1/3 y = -5
Multiply each side by -3
-1/3 y * -3 = -5*-3
y = 15
Check
-1/3 *15 -6 = -11
-5 -6 = -11
-11=-11