Answer:
Yes
Step-by-step explanation:
First off, let's use an example with the same equivalence:
[tex]\frac{12}{36} =\frac{16}{48}[/tex]
If you divide the denominator by the numerator you have to get 3, otherwise, it's not equivalent.
The constant of proportionality between the denominator and the numerator, if we use x and y, is:
[tex]y=3x[/tex]
So, just like the example and explanation I used, 3 divided 1 is 3 and 6 divided by 2 is 3.
Answer:
Yes, the 2 cups of mango and 6 cups of strawberries are equivalent.
Step-by-step explanation:
The question is based on ratios. Ratios are basically the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In this instance, you're altering the quantity by 2. So the 1 cup of mangoes becomes 2 cups of mangoes and the 3 cups of strawberries becomes 6 cups.
Another example of this could be:
In the store, for every 1 man there are 4 women. So if you change the amount of men in the store from 1 to 2, the quantity of women would go from 4 to 8.
Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x=1
Answer:
Step-by-step explanation:
Solve the equation for 0 and 1:
x^3 + 6x -5
Replace x with 0:
0^3 + 6(0) -5 = -5
Replace x with 1:
1^3 + 6(1) -5 = 1+6 -5 = 2
Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0
-5/8 does this mean the entire fraction is negative
Answer: Yes
Step-by-step explanation:
Remember, a fraction with a negative sign anywhere is a negative fraction; in other words, it represents a negative quantity. As long as you write only one negative sign, it doesn't matter whether you put it before the denominator, before the numerator or before the entire fraction
the difference of a number and its absolute value.
Answer:
he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.
I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.
My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?
For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.
In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.
Step-by-step explanation:
Write an equation
Look at screenshot
Answer:
y=3x+27
Step-by-step explanation:
I first wrote down point-slope form, then substituted your point (-7,6) and the slope to get b (the y intercept).
A=1/2f(r+z), solve for r
Answer:[tex]\frac{2A}{f} -2=f[/tex]
Step-by-step explanation:
A=1/2(r+2)
2A=f(r+2)
2A/f=r+2
2A/f-2=r
Classify the following triangle. Check all that apply
Answer:
A. Acute and B. Equilateral
Step-by-step explanation:
Please help me with this
answer
is 13.21 because i did the promble on the calculatoor
What is the equation of a line through point (-12,20) that is perpendicular to the line
with equation y=-6x + 4?
Find the slope of the perpendicular line
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of one of the lines = - 6
then the slope of the perpendicular line (m) = ¹/₆
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 20 = ¹/₆ (x - (-12))
∴ y - 20 = ¹/₆ (x + 12)
We can also write the equation in the slope-intercept form (y=mx+c) like the equation in the question by making y the subject of the equation and expanding the bracket to simplify:
since y - 20 = ¹/₆ (x + 12)
y - 20 = ¹/₆x + 2
y = ¹/₆x + 22
∴ the slope-intercept equation of the perpendicular line is y = ¹/₆ x + 22.
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
Solve: 2/3-4x+7/2=-9x+5/6 X=-3/2 X=-2/3 X=2/3 X=3/2
Answer:
x=2/3
Step-by-step explanation:
Find two consecutive odd integers such that
4 times the smaller integer is 19 less than 5
times the larger integer.
Answer:
9 and 11
Step-by-step explanation:
let the consecutive odd integers be n and n + 2 , then
4n = 5(n + 2) - 19 , that is
4n = 5n + 10 - 19 ( subtract 5n from both sides )
- n = - 9 ( multiply both sides by - 1 )
n = 9 and n + 2 = 9 + 2 = 11
The 2 integers are 9 and 11
Abdul drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?
What is the constant of proportionality for the relationship between 12 laps 1/2 hr
Answer:
24
Step-by-step explanation:
12 per half hour means 24 per hour
Which of the following is an example of a quadratic equation?
O A. x^2 = 25
O B. y =1/x2
O C. y = 3x +2
O D. X-4 = 7
Answer:
A.
Step-by-step explanation:
Because it is a polynomial with highest degree of x = 2.
it has no picture just these
Answer:
angle OPN, angle PON, angle NOP, angle PNO
Step-by-step explanation:
Essentially, this simply asks what angles contain the line OP. If we draw the triagnle NOP (in that order starting at the top), we can see that all these angles include the line OP within their angles.
(note: Im not sure if it is asking for the line OP in that order. If so, it would only be angles 1 and 3, as those have OP in that order)
if 1/3 of taffy cost $2.10 how much is one pound of taffy?
Answer:
$6.30
Step-by-step explanation:
since 1/3 is considered 1/3 of a pound, you can multiply 2.10 by 3.
2.10 x 3 = 6.30
Answer:
$6.30
Step-by-step explanation:
3 × 2.10 = 6.30
You know you got the question right if you divide 6.30 by 3 because it's 1/3
Mason is running a lemonade stand. He sells each cup of lemonade for $2.50,and he spent $15 on the
supplies to set up his stand, Write an equation to represent the amount of money mason has after he has sold x cups of lemonade.
Step-by-step explanation:
He is making $2.50x (x = amount of drinks sold)
Than we subtract the amount of money he lost - $15
$2.50x - $15
Hope this helps.
what is the standard form of of a line with a slope of -3/2 that passes through the point (4,-1)
Answer:
y=[tex]-\frac{3}{2}x-5[/tex]
Step-by-step explanation:
Use the point slope formula
[tex]y-y_1=m(x-x_1)[/tex]
y-1=[tex]-\frac{3}{2}[/tex](x-4)
Multiply -3/2 by (x-4) which equals -3/2x-6
Move the 1 by adding to both sides
The gives us y=[tex]-\frac{3}{2}x-5[/tex]
Brian painted 2/3 of a fence in 3/4 of a day. How long will it take him to paint the entire fence?
Answer:
9/8 days
Step-by-step explanation:
If it takes him 3/4 of a day to paint 2/3 of a fence, it would take him 9/8 days to paint the whole fence ((3/4)/(2/3)).
You can think of it like this:
It would take 3/8 of a day to paint 1/3 of a fence. So to find how long it takes to paint the whole fence, multiply 3/8 by 3.
Algebra 2 Piece-wise functions!!
It's A.
1. The closed circle connects to the x≥1 function, so that rules out B and C.
2. The x≥1 piece has a positive slope on the graph, so that rules out D.
I need help! Please tell me which one is true and which one is not!
Answer:
yes yes no yes
Step-by-step explanation:
3. Which ordered pair is a solution of the equation y = x - 4? (1 point)
O (2,6)
O (6,2)
O(-2, 6)
O(-6, 2)
Answer:
Question 3: (6,2)
Question 4: (-1,-4)
Step-by-step explanation:
Look above to see each graphed⤴⤴⤴
Hope this helped :)
PLEASE HELP
Josiah is looking forward to the Randolph Jazz Festival next month and has offered to purchase tickets for all of his friends.
Which of the variables is independent and which is dependent?
Independent
[ Select ]
Dependent
[ Select ]
Answer:
Independent: The number of Tickets
Dependent: The number of Josiah's friends
Step-by-step explanation:
The number of tickets is Independent because the number of tickets is something that is final. The number of Josiah's friends could change depending on if the friend come or not.
PLEASE HELP RN AQAP
THANKS!
Answer:
8^3 x 12^3
Step-by-step explanation:
at the luau, a vender was selling 5 leis for $25. what is the unit price?
Answer:
$5
Step-by-step explanation:
if 5 leis are worth $25, each lei would be 25/5
25/5 is 5/1, when the denominator is one, that is unit price
the unit price is $5
What is the lowest common multiple of 14, 28, and 84?
Explain
help
Answer:
308
Step-by-step explanation:
first you divide all three numbers by the smallest counting number,in this case, it is a '2' . keep on dividing with other numbers until when you reach a point where the remainder is indivisible, that is to say numbers like 7,11,5 etc.
the angle subtended by the minute hand in 25 minutes
Answer:
150
Step-by-step explanation:
60 minutes = 1 full rotation,
In 25 minutes, we have 25/60 rotation,
25/60 *360
150
A college college track coach compares the ratio of time it takes a runner to run
100 meters to 12 seconds. For a runner to be on the team, the ratio must be less
than or equal to 0.95. What is the slowest time 100 meters can be run to make
the team
answeeeeerrrr plzzzzzzzzzz
Answer:
30
Step-by-step explanation:
(3×30+15) = 105
uses the alternate exterior angles theorem
If the domain of a function is [1,10), select a point that could be included within the function.
(0,5)
(1,4)
(10,3)
(12,0)
Answer:
1,4
Step-by-step explanation:
trust me.........................well I am a stranger but trust I guess
What is the slope of the line represented by the equation y = 5x - 3?
ult
3
The slope of the line y = 5x - 3 is 5
Answer:
y= mx + b
and to my knowledge 5 would be your slope since m=5