A proportional relationship is graphed on the coordinate plane. The line that represents the relationship passes through points (0, 0) and (5, 10).
What is the unit rate of the proportional relationship?
Answer: I think its D. 1:5
Step-by-step explanation:
but im not surr
Solve the equation 6x +2y = 10 for y in terms of x gives what function?
y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5
Answer:
y = - 3x + 5
Step-by-step explanation:
Given
6x + 2y = 10 ( subtract 6x from both sides )
2y = - 6x + 10 ( divide all terms by 2 )
y = - 3x + 5
The correct equation for y in terms of x would be, y = - 3x + 5
Hence, option 2 is true.
Used the concept of an equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
6x + 2y = 10
Now, simplify the equation for y in terms of x as,
6x + 2y = 10
Subtract both sides by 6x,
2y = - 6x + 10
Divide both sides by 2,
y = - 3x + 5
So, The correct equation would be, y = - 3x + 5
Thus, option 2 is true.
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5. Seismologists use the Richter scale to measure the magnitudes and intensity of earthquakes that occur all over the earth. (see below, some info about Richter scales, and intensity formula)
Let’s say an earthquake hit Los Angeles, CA and had a magnitude of 3.4. If another earthquake hit Atlanta, GA and was a magnitude of 1.2, then how much more intense was the earthquake in LA?
Answer:
158.49
Step-by-step explanation:
10^(3.4 - 1.2) = 158.48931924611
round to 158.49
onsider the line y=-5+6.
find the equation of the line perpendicular to this line and passes through the point (-2,-3)
find the equation of the is parallel to this line and passes through the point (-2,-3)
Answer:
The equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
The equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Step-by-step explanation:
The given line is y=-5x+6
The slope of the given line, [tex]m_1=-5[/tex]
Let [tex]y= m_2 x + C_2[/tex] be the slope of the line perpendicular to y=-5x+6,
where [tex]C_2[/tex] is constant.
As multiplication of slopes of two perpendicular lines equal to -1, so
[tex]m_1m_2=-1 \\\\\Rightarrow -5\times m_2= -1 \\\\\Rightarrow m_2= \frac {-1}{-5}= \frac 1 5[/tex]
So, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x +C_2[/tex] which passes through the point (-2,-3), so
[tex]-3=\frac 1 5 (-2) +C_2 \\\\\Rightarrow C_2 = -3 +\frac 2 5= \frac {-13}{5}[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
Now, let [tex]y=m_3 x +C_3[/tex] be the equation of the parallel line to y=-5x+6.
As the slopes of two parallel lines are the same, so [tex]m_3=-5[/tex].
So, the equation of the parallel line becomes
[tex]y=-5 x +C_3[/tex] which passes through the point (-2,-3), so
[tex]-3=-5 (-2) +C_3 \\\\\Rightarrow C_2 = -3 - 10 = -13[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Find the median of the following set of data:100,40,200,20
Answer:
Median=(n+1/2)th item
Now,
4+1/2
=2.5
Again,
2nd item+(3rd - 2nd item) *0.5
40+(200-40)*0.5
40+160*0.5
40+80
120
Therefore, Median =120
please help and show work
Answer:
7a. 2x (The line rises by two units and runs (to the right) by 1 unit.)
7b. 3/4x The line drops by 3 units and runs (to the right) by 4 units.)
What is the equation in slope intercept form of a line that passes through the point (-3,-11) and is parallel to the line y=2x-4?
Step-by-step explanation:
hey i hope this helps idk if its clear enough but yeah
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
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Enter the phrase as an algebraic expression.
The sum of 5 and 2 times b
Answer:
2b+5
Step-by-step explanation:
its sum of 5 and 2b
2b+5
hope this helps :D
Answer:
2b+5
Step-by-step explanation:
since it says the SUM of 5 and 2 times b it means that 2b+5 is the anwser
Alma is choosing a new smartphone and cellular service plan. Let p be the phone’s price in dollars, m be the cost of the selected plan in dollars per month, and C be Alma’s total cost in dollars after time t, measured in months of service. Write an equation that expresses C in terms of p, m, and t. Then solve your equation for t.
The value of the expression for t will be
t = (C - p)/m
How to calculate the equation?Let p = the phone’s price in dollars
m = the cost of the selected plan in dollars per month
C = Alma’s total cost in dollars after time t, measured in months of service.
Therefore, the equation that expresses C in terms of p, m, and t will be:
C = p + m(t)
To find t will be:
C = p + m(t)
Subtract p from both sides
C - p = m(t)
Divide through by m
t = (C - p)/m
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HELPPPPPPP MEEEEEE PLSSSSS!!!!!!
show working
Answer:
The value of x depends on the amount the length is going to run to.
Step-by-step explanation:
A pet store sold 49 siamese cats. If the ratio of siamese cats to house cats sold was 7:4, what is the combined amount of cats sold?
total cars
Answer:
uyygfhuittyuuuujhhtyyuiiyyuuu
In a certain chemical, the ratio of zinc to copper is 4 to 15 . A jar of the chemical contains 480 grams of copper. How many grams of zinc does it contain?
The grams of zinc the jar of chemical contain is 128 grams
How to find the number grams of zinc ?In a certain chemical, the ratio of zinc to copper is 4 to 15 .
Therefore, a jar of the chemical contains 480 grams of copper.
The grams of zinc in the jar as follows:
Hence,
ratio of zinc to copper = 4 : 15
Therefore,
let
x = total grams in jar
Hence,
480 = 15 / 19 x
15x = 480 × 19
15x = 9120
x = 9120 / 15
x = 608
Therefore,
amount of zinc = 4 / 19 × 608
amount of zinc = 2432 / 19
amount of zinc = 128 grams
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What translation of circle R shows that R is congruent to circle S
Answer:
it's 4.
Step-by-step explanation:
4 is the correct answer
Please help me! 30 points!
Answer:
Step-by-step explanation:
the in this picture is the 3rd one
what is 2+3 and how do you solve that answer
Answer: 5
Work: I just did mental math, but the proper way to do it is to get a number line, and put a dot at 2. Since you need to move three spots ahead, you move the dot three times to the right, and it will land on 5.
I hope this helps, and Happy Holidays! :)
Write y = 2/5 x+ 5 in standard form
Answer:
-2x + 5y = 25
Step-by-step explanation:
ASAP PLZ HELP ME QIETH THE QUESTION
Answer:
58 square units
Step-by-step explanation:
Take the shaded figure as a full larger rectangle minus the rectangular part which is not shaded.
Area of the full larger rectangle:
Area = length × width
Length = |12 - 2| = 10 units
Width = |8 - 1| = 7 units
Area = 10 × 7 = 70 units²
Area of the unshaded small rectangle:
Length = |10 - 4| = 6 units
Width = |3 - 1| = 2 units
Area = 6 × 2 = 12 units²
Area of the shaded figure = 70 - 12 = 58 square units
Hello I hope you are doing well . i have a question lease could you answer it with the explication thanks:
this is the question
Help If u can please show ur work thank you
Answer:
the answer is 21
Step-by-step explanation:
21x2 = 42, 42+3 = 45
Answer: 21 cupcakes
Step-by-step explanation: x is the number of cupcakes. since she baked 45 cupcakes on tuesday, which is 3 more than 2x the number of cupcakes on monday, we would write 45=2x+3. First, subtract the 3 from both sides of the equation. This will give you 42=2x. Then divide both sides by 2. This will give you 21=x. So, the answer is 21
Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are both right triangles. No, the triangles share side XZ. No, there is only one set of congruent sides.
Answer:
Yes, they are congruent by SAS.
Step-by-step explanation:
Answer:
Yeah your answer would be A. Yes, they are congruent by SAS!
hope this helps :D
Step-by-step explanation:
what is The “Big Stick Diplomacy"
Answer:
"Big Stick diplomacy is the policy of carefully mediated negotiation ("speaking softly") supported by the unspoken threat of a powerful military ("big stick")."
Step-by-step explanation:
(nationalgeographic)
Answer:
refers to President Theodore Roosevelt's foreign policy
Step-by-step explanation:
speak softly and carry a big stick; you will go far." Roosevelt described his style of foreign policy as "the exercise of intelligent forethought and of decisive action sufficiently far in advance of
At a birthday party, there is a rubber ducky game for children to play. The goal of the game is to randomly pick a duck out the pool that has an EVEN number on the bottom of it. There are a total of 62 ducks and 40 of them have even numbers on them. approximately, what percentage of ducks have even numbers on them?
A. 65%
B. 40%
C. 35%
D. 60%
Answer:
A
Step-by-step explanation:
40/62=.645 then move the decimal over 2 spaces
Answer: 65
Step-by-step explanation: 40/62 = .645•100= 65
I think of a number, multiply it by three, and add four. I get twenty two.
Two ferries just departed from their docks at the same time. Ferry A departs every 1.2 hours. Ferry B departs every 1.8 hours. How long will it be until both ferries depart from their docks at the same time again?
Answer: It will take 36 minutes(0.6 hour) until both ferries depart from their docks at the same time again.
Step-by-step explanation:
Given : Ferry A departs every 1.2 hours.
Ferry B departs every 1.8 hours.
To find : Time taken by both ferries until they depart from their docks at the same time again.
= LCM (1.2, 1.8) hours [LCM= Least common multiple]
= LCM (1.2(60 minutes), 1.8(60 minutes)) [Since 1 hour = 60 minutes]
= LCM (72 minutes, 108 minutes)
72 = 2 x 2 x 2 x 3 x 3 , 108 = 3 x 3 x 3 x 2 x 2
LCM (72,108) =2 x 2 x 3 x 3 =36
So, it will take 36 minutes until both ferries depart from their docks at the same time again.
In hour = [tex]\dfrac{36}{60}\text{ hour}=0.6\text{ hour}[/tex]
If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?
Answer:
$2656
Step-by-step explanation:
6.25% of $10,624 is $664, so that is the amount of interest every year.
$664 times 4 is $2656, so after 4 years $2656 will have been paid.
Please answer it’s due tonight i’ll make brainiest answer and heart it
Answer: x° is 50°
Step-by-step explanation: The sum of the exterior angles of a polygon is 360.
Add the given exterior angles:
35+50+20+125=230
to find the missing exterior angle, supplementary to x°,
Subtract 360 - 230 = 130
The Sum of Supplementary angles is 180°
x° + 130° = 180°
x = 50
Solve.
The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width
Find the length, width and area.
take the breadth as x and accordingly length as (x+18)
the formula for finding the perimeter of a rectangle is 2(l+b) now put the correct values as shown in the picture and form an equation this way you will be able to find x which is the breadth and length Is 18 morethan breadth ,now as u have found both length and breadth go ahead and find the area whose formula is length×breadth
HOPE IT HELPS
Solve the linear system by using Substitution. Enter your answer as an ordered pair.
y = x + 2
2x + y = 8
Answer: {y,x} = {4,2} ) ) ) )4
Step-by-step explanation: y
[2] y = -2x + 8
// Plug this in for variable y in equation [1]
[1] (-2x+8) - x = 2
[1] - 3x = -6
// Solve equation [1] for the variable x
[1] 3x = 6
[1] x = 2
// By now we know this much :
y = -2x+8
x = 2
// Use the x value to solve for y
y = -2(2)+8 = 4
Solution :
{y,x} = {4,2}
Find 12 ÷ 3/5. Show or explain your reasoning.