Perpendicular equations have opposite reciprocal slopes, so any equation perpendicular to the equation y = 1/2 x - 2 would have the slope -2.
Now plug in the point (6, -3) into the equation y = -2x + b to find out what b is.
-3 = -2(6) + b
Multiply -2 by 6.
-3 = -12 + b
Add 12.
9 = b
So the equation is y = -2x + 9
Hope this helps
A bag contains 12 blue blue marbles and 8 red marbles what is the ratio of the blue marbles to red marbles
Answer:
12:8 or 12 to 8 or u could do it in fraction form
Step-by-step explanation:
Answer:
12:8 or 12 to 8
Explanation:
The ratio of blue marbles to red marbles is 12 to 8
The coffee shop also sells small bag of coffee beans. the bags come in two 4/5 kilogram and 7/12 kilogram. How much more coffee does the bigger bag have?
The bigger bag have 13/60 kilogram more coffee.
What is fraction?A fraction is defined as numerical representation for part of a whole which represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that the bags come in two 4/5 kilogram and 7/12 kilogram
⇒ 4/5
⇒ 7/12
We will first establish that there has a comparable denominator.
Multiply by (12/12) in the fraction 4/5
⇒ 4/5 (12/12)
⇒ 48/60
Multiply by (5/5) in the fraction 7/12
⇒ 7/12 (5/5)
⇒ 35/60
Determine the difference between fractions as :
⇒ 48/60 - 35/60
⇒ 13/60 kilogram
Hence, the bigger bag have 13/60 kilogram more coffee.
Learn more about fraction here:
brainly.com/question/10354322
#SPJ5
The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the y-intercept?
Answer:
The y-intercept is 3.90
A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?
Answer:
see below
Step-by-step explanation:
h(t)=-16t^2+48t+64
Find when h(t) = 64
64 = -16t^2+48t+64
Subtract 64 from each side
0 = -16t^2+48t
Factor
0 = -16t( t-3)
Using the zero product property
-16t =0 t-3 =0
t=0 and t=3
Other than at t=0, so at t=3 seconds
How long will it take for f ball to reach its maximum height?
Find the vertex
t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds
It will reach the maximum height at 1.5 seconds
What is the maximum height reached by the ball?
The height will be
h(1.5) = -16*(1.5)^2+48(1.5)+64
= -36+72+64
= 100
The maximum height is 100 ft
How long will it take for the ball to hit the ground?
h(t) =0
0=-16t^2+48t+64
Factor
0 = -16( t^2 - 3t -4)
0=- 16( t-4) (t+1)
Using the zero product property
t-4=0 t+1=0
t =4 t = -1
Since time cannot be negative
t=4 seconds
help me it's my homework
Answer:
2. Answer is 4 and for 3. P= 1/4s
Step-by-step explanation:
Simply divide the values of one another.
This results you with:
8/2 = 4
12/3 = 4
10/5 = 2 -> I think there was an error or typo here
40/10 = 4
The constant proportion would be 4 because it is constant in every situation for S and P.
The equation would be p= 1/4s because 1 value of p would equal 4 s.
Which table of ordered pairs represents a function?
Answer:
A
Step-by-step explanation:
Evaluate the following and express the answer in scientific notation.
2.44 × 10^ −10 ÷ 4 × 10^ −6
Answer: 6.1e-17
Step-by-step explanation:
the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.
2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶
First, divide 2.44 by 4, which gives us 0.61.
Next, subtract the exponents by applying the division rule for exponents:
10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴
Therefore, the simplified expression is 0.61 × 10⁻⁴.
To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.
Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
Learn more about scientific notation here
https://brainly.com/question/24129248
#SPJ2
Which of the following shows the greatest percent increase?
A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000
50 increased to 75 (option A) shows the greatest percent increase.
How to solve for percentage increase?To determine which of the given options shows the greatest percent increase, we can calculate the percent increase for each option using the following formula:
percent increase = (new value - old value) / old value x 100%
Using this formula, we can calculate the percent increase for each option as follows:
A. percent increase = (75 - 50) / 50 x 100% = 50%
B. percent increase = (700 - 500) / 500 x 100% = 40%
C. percent increase = (7,000 - 5,000) / 5,000 x 100% = 40%
D. percent increase = (74,000 - 50,000) / 50,000 x 100% = 48%
Therefore, the option that shows the greatest percent increase is option A, which increased from 40 to 75, a percent increase of 50%.
Learn about percentage increase here https://brainly.com/question/11360390
#SPJ1
prime factorization of 45 expanded form
The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.
If this was helpful I strongly encourage making me Brainliest!
just help and explain so i can understand!!
Answer:
‒6
Step-by-step explanation:
‒2‒4=‒6
or this means when you borrow 2$from one person&4$ from other person,then totally you have borrowed 6$. &borrow also expressed by‒ve
anyway you can understand as you want as you like
i think it is clear
i hope you understand me what i am saying
Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13
A graph of a quadratic function is shown below.
What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)
Using it's concept, it is found that the vertex of the quadratic function is given by:
B (800, 10).
What is the vertex of a quadratic equation?It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.
In this problem, it turns at x = 10 and y = 800, hence option A is correct.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
#SPJ1
Answer:
Step-by-step explanation:
what percent is equivalent to 1/20
Answer:
1/20 is 5%
Step-by-step explanation:
1/20 = 5%
20/20 = 100%
100 ÷ 20 = 5%
1/20 x 100 = 0.05 x 100 = 5%
Step-by-step explanation:
[tex]1 \div 20 =( 1 \times 5) \div (20 \times 5) = \\ 5 \div 100 = 5\%[/tex]
Whitch of the following best represents a graph with a range that is less than -3?
Encuentra la ecuación del siguiente enunciado. El profesor Rigoberto tiene cuatro hijos. Cada uno es un año mayor que el anterior. ¿Cuál es el total de años que acumulan los cuatro hijos de Rigoberto?
x+x+x+x
4x+6
6+x
4+x
Construyendo las ecuaciones, se encuentra que el total de años que acumulan los cuatro hijos de Rigoberto es dado por 4x + 6.
------------------------------------
No sabemos la edad de el menor, entonces, la llaremos de x.Cada uno es un anõ mayor que el anterior, puesto que las edades son: [tex]x + 1, x + 1 + 1 = x + 2, x + 2 + 1 = x + 3[/tex]El total de años es dado por:
[tex]x + x + 1 + x + 2 + x + 3 = 4x + 6[/tex]
4x + 6, segunda opción.
Encontra-se un problema similar en https://brainly.com/question/23311756
can somebody help me out with this please? (you don’t have to do the thing where you show ur work on paper just show work please)
Answer: On 38+7k=8(k+4) k is going to equal 6. On 3(2x-1)=9(x+3) x is going to equal -10.
Step-by-step explanation: 38+7k=8k+32= 6x-3=9x+27
38=1k+32= -3=3x+27
6=1k k=6 -30=3x x=-10
In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substances. A radioactive substance is a substance that gives off radiation as it decays. Scientists describe the rate at which a radioactive substance decays as its half-life. The half-life of a substance is the amount of time it takes for one-half of the substance to decay. Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years?
Answer:
Step-by-step explanation:
Half life is the time taken by a radioactive substance to reduce of half of its original size
If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years
if we are given N0 = 1000grams
The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g
Hence 500 grams of radium will be left after 600years
Quinn posted a comment on a social media site. The table shows the number of new "likes" Quinn's comment receives each minute after the comment is posted. Write an equation of a line in standard form to represent the data. Then use the equation to find the amount of time it will take until Quinn's comment receives no new "likes".
mintues; liked:
1 8
2 6
3 4
A. x + 2y = 10; 5 minutes
B. 2x + y = 10; 5 minutes
C. x + 2y = 10; 6 minutes
D. 2x + y = 10; 6 minutes
Answer: B. 2x + y = 10; 5 minutes
Explain or show that the point (5,-4) is a solution to this system of equation 3x-2y=23
Answer:
Step-by-step explanation:
3(5)-2(-4)=23
15+8=23
23=23
The system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of linear equation is:
3x - 2y = 23
The point is (5, -4)
Plug x = 5 and y = -4
3(5) - 2(-4) = 23
15 + 8 = 23
Thus, the system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ6
in a survey, 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer ice cream
Answer:
63 people
Step-by-step explanation:
Given parameters:
Number of students survey = 32
Number of those that liked ice-cream = 8
Total population size = 252
Unknown:
How many people in the population should prefer ice cream = ?
Solution:
From the survey;
8 out of 32 students prefer ice cream;
8 : 32
1: 4
This shows that 1 out of 4 students will prefer ice cream
NOw to the total population;
If out of 4 students, 1 prefers ice-cream;
Out of 252 students y will prefer ice-cream
Number of students that prefers ice-cream = [tex]\frac{252}{4}[/tex] = 63people
On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
870?
Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain
Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?
Please help this has 15 points
Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks 2.4 kilometers further, and together they walk 5.1 kilometers.
If Buzz walks a distance of m kilometers find the value of m.
Answer:
m = 1.35
Step-by-step explanation:
Buzz = m
Maria = m + 2.4
Together = 5.1
Equation:
m + m + 2.4 = 5.1
2m + 2.4 = 5.1
2m = 2.7
m = 1.35
So now:
Buzz = 1.35
Maria = 1.35 + 2.4 = 3.75
1.35 + 3.75 = 5.1
This solution is correct.
Hope this helps!
plz answer 12 points
Answer:
6+3^3
Step-by-step explanation:
6 plus 3 cubed
which is 6+3^3
What is an estimation strategy
This is for 6th grade math please help
Answer:
Estimation is a mental process of coming up with an answer that is relatively close, to allow decisions to be made. The types of estimation are quantity, computation and measurement.
An estimation strategy is simply coming up with a good estimate based on evidence and already known facts. Coming to a conclusion as close to the real answer as you can. It can also be called an educated guess.
I WILL GIVE BRAINLIEST! Rectangle A is a rectangle with area 24. Rectangle B is a scaled copy of Rectangle A with a scale factor of 2. What is the area of Rectangle B?
Answer:
12
Step-by-step explanation:
24/2=12
what is (6x-5) + (8x-50)
Answer:
14x - 55
Step-by-step explanation:
6x - 5 = 8x - 50
6x + 8x = 14x -5-50
-5- 50 = -55
14x -55
[tex]6x + 8x - 5 - 50 \\ = > 14x - 55[/tex]
A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.
Answer: 59.5 ≤ r ≤ 60.5
Step-by-step explanation:
Given that :
Accuracy range = ±0.5 of true value
True height of rain (r) = 60mm
Absolute value equation to find the least and greatest height if rain possible ;
|r| = 0.5
To remove the absolute value sign ;
|r| ± 0.5
r = 60mm
60 - 0.5 ≤ r ≤ 60 + 0.5
59.5mm ≤ r ≤ 60.5mm
Hence,
Greatest height possible = 60.5mm
Least height possible = 59.5 mm
The price of a television increased from $325 to $390. By what percentage was the price of the television increased?
Answer: 13.76 percent
Step-by-step explanation:
Please help! I’ll mark as BRAINLIEST :))
If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?
Step-by-step explanation:
could the conditional statement be written in another way