Answer:
Yes.
Step-by-step explanation:
2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.
If two ratios are equal then the ratios are said to be in proportion and equivalent.
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
What is a ratio?The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.
We have,
Two ratios:
2/3 and 8/12
We will make the ratios in their simplest form:
2/3 is in the simplest form.
8/12 = 4x2/4x3 = 2/3 is the simplest form.
We see that both the ratios are equal so the ratios 2/3 and 8/12 are in proportion.
Thus,
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
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Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used. A jet is flying at 350 miles/hour in still air. It is traveling in the direction of 210°, where 90° represents North. Find the component form of vector r, which represents the jet's motion. -303.11 -175 350 -320.72 210 150 240 r = <__ cos __ , __ sin __> = <__ , __>
Answer:
-303.11 -175
Step-by-step explanation:
The jet has a speed of magnitude 350 miles/hour and travelling in a direction of 210°. Hence the jet can be represented with |r| = 350, θ = 210°.
The component form of the vector has both the x component (horizontal component) and the y component (vertical component) Therefore:
The horizontal component = [tex]r_x=|r|cos\theta=350*cos(210^o)= -303.11[/tex]
The vertical component = [tex]r_y=|r|sin\theta=350*sin(210^o)= -175[/tex]
Answer:
Step-by-step explanation:
Jaida has $200 to spend on flowers for a school celebration. She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jaida buys enough roses so that each of the 75 people attending the event can take home at least one rose. Write an inequality to represent the cost constraint.
Answer:
[tex]1.45x+0.65y\leq 200[/tex]
Here, [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.
Step-by-step explanation:
Let [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.
Cost of 1 rose = $1.45
Cost of [tex]x[/tex] roses = [tex]\$1.45x[/tex]
Cost of 1 carnation = $0.65
Cost of [tex]y[/tex] roses = [tex]\$0.65y[/tex]
Total cost spend on flowers = [tex]1.45x+0.65y[/tex]
Total amount with Jaida = $200
So,
the inequality to represent the cost constraint is [tex]1.45x+0.65y\leq 200[/tex]
HELP ME PLS
GRADES ARE DUE TODAY
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.
In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.
The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.
If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)
Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form
Answer:
y = 75x + 800
Step-by-step explanation:
"One less than the quotient of a number and -5.
Answer:
(x/-5) - 1
"The quotient of a number x and - 5 " x/-5
"one less" means you will subtract 1 from it.
What is an algebraic expression?
an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Example of an algebraic expression
3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising the power, is also an algebraic expression
seven divided by twice a number 7 ÷ 2n or
three times a number decreased by 11 3n - 11
Do you like online classes?
Answer:
no its stupid
Step-by-step explanation:
i wanna go back to school
The sum of three consecutive odd integers is-219. What is the first number in the set?
Answer:
-75
Step-by-step explanation:
Let us consider the first odd number to be 'x'.
Thus:
1st odd number: x2nd odd number: x+23rd odd number: x+3According to the question, the sum of these three consecutive ODD numbers should be equal to -219
So,
x + x + 2 + x + 4 = -219
3x + 6 = -219
3x = -225
x = -75
What’s the answer
Apparently didn’t paid attention in class
This equation can be written as :-
= 6 + 4x = x + 15
= 4x+6=x+15
= 4x + 6 − x = x + 15 − x
= 3x + 6 = 15
= 3x + 6 − 6 = 15 − 6
= 3x = 9
= 3 x 3 = 9
= x = 9 ÷ 3
= x = 3
Using this , let us solve the equation :-
= 6 + 4 × 3 = 3 + 15
= 6 + 12 = 3 + 15
= 18 = 18
Therefore , 6 + 4x = x + 15 = 18 ( x = 3 ) .
Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Superscript negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?
Answer:
Step-by-step explanation:
Given the expression [tex](4z^8)^{-3}[/tex], to evaluate this, we will use one of the law of indices as shown;
[tex](a^m)^n = a^{mn}[/tex]
[tex]4^{-3} * z^{8*-3}[/tex]
[tex]= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}[/tex]
Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8
Answer:
The last one
Step-by-step explanation:
The equation y = -3x + 5 represents a ____ function. The -3 represents the ____ of the line. This means that the slope is _____ . The 5 in the equation represents the ____ of the line. This is where the graph crosses the ____ axis.
Answer:
Step-by-step explanation:
The equation y = -3x + 5 represents a linear function. The -3 represents the slope of the line. This means that the slope is -3 . The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y-axis.
Compare the original equation with the standard form to get all the values.
[tex]y=-3x+5\\y=mx+c[/tex]
If we compare m= -3 and c=+5 where m is the slope/gradient and c is the y-intercept.
The equation y = -3x + 5 represents a Linear function. The -3 represents the slope of the line. This means that the slope is -3. The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y axis.
What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. So the way to describe linear functions is that for any given change in x, the change in y will always be the same value.Therefore,
Compare the original equation with the standard form to get all the values.
y = -3x + 5
y = mx +c
If we compare m = -3 and c = 5 where m is the slope/gradient and c is the y-intercept.
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What is the slope-intercept form of equation of the line with a slope of 3 and y-intercept at origin?
Answer:
y=3x
Step-by-step explanation:
Equation is y=mx+b
Slope is 3/1 or 3x.
Y-intercept is at the origin or (0,0), so you take the y-coordinate.
Plug them into the equation.
y=3x+0 or y=3x
Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.
Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.
Answer:
C = t * 3
Step-by-step explanation:
√64
A. 4√2
B. 8
Which one?
Answer:
Its B.
Step-by-step explanation:
If its right plz give me Brainliest :)
Answer:
√64 = 8
Step-by-step explanation:
The Square root of 64 is 8
Square of ( +/-8) is 64. Since the negative numbers inside square root results in an imaginary number, so the square root must be positive and hence +8 is a square root of 64. The Answer is 8.
What is the simplest radical form of the square root of 64?
The "simplest radical form" of √64 is √26 if we define "simplest form" as a radical of a prime to an integer power.
Which of the following is equal to 10-5?
1
105
0.00001
1
10-5
1
100,000
16
10
Answer:
Step-by-step explanation:
[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100000}=0.00001[/tex]
Answer: 0.00001
[tex]10^{-5}[/tex] = [tex]\frac{1}{10^{-5} }[/tex] = 1 over 100,000.
100,000 = 0.00001
Hope this helps you!
El dueño de una cafeteria contrata dos
empleadas para la atencion de las mesos.
A la primera, que trabaja 8 horas diarias, le
paga $100.000 cada 6 dias; a la segunda, que
trabaja 12 horas diarias, le paga $200.0oo.
si el precio de una hora de trabajo es el
mismo para ambas, a ¿Cada cuantos dias le
paga a la Segunda empleada?
I NEED ANSWERS!!! ASAP
The answer for the first one is 4.47945205479, if you need to round that would be 4.5.
The answer for the second one is 20.4945454545, rounding will be 20.5.
The answer for the last one is 893.84, rounding will be 893.8.
If you need to round just remember 4 or less, will be rounded to 0, and 5 or more would be rounded to 10.
Which of the following is equivalent to 5(7 - p)?
5p - 35
-5p + 35
35 + 5p
-35 + 5p
Answer:
-5p+35
Step-by-step explanation:
=(5)(7+−p)
=(5)(7)+(5)(−p)
=35−5p
=−5p+35
walking at a speed of 12 feet per second. How many feet per hour is this? *
Answer:
43200 feet per hour
Step-by-step explanation:
image.......................
Answer:
10.75
Step-by-step explanation:
The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.
Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
so, a childs ticket is 4.75
now to find the cost of an adult ticket you add 6,
4.75 + 6
= 10.75
Pls pls Pls pls pls helpppp meee asappppp i will give BRAINLIEST!!!!!!
Answer:
27ft
Step-by-step explanation:
Answer:
its simple you will need 5ft of carpet
Step-by-step explanation:
how to find the sequence
X. Y
0. 0
1. 1.5
2. 4
3. 7.5
4. 12
Answer:
they add one half to each number
I need help pls , Solve: 5a + 4 = 19
5a+4=19 this is the equation to solve for a 5a=19-4
5a=15
a=15÷3
a=3
A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.
Answer:
a. A continuous graph
b. a straight line graph with a gentle positive slope
c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line
Step-by-step explanation:
a. A continuous graph
Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous
b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;
i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches
c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;
i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)
ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line
iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight line with a gentle positive slope of 0.2.
what is the answer
Answer:
not a function
Step-by-step explanation:
Since the x value of 2 goes to two different y values of 5 and 4, this cannot be a function
(3) An estate was to be divided among five people. The first person received 1/8 of the estate. The next two people each received 1/5 of the estate. The fourth person received 1/10 of the estate. What fractional part of the estate did the last person receive?
Answer:
3/8
Step-by-step explanation:
An estate has to be divided among the 5 persons.
Given that the 1st person received 1/8 of the estate,
the 2nd person received 1/5 of the estate,
the 3rd person received 1/5 of the estate,
and the 4th person received 1/10 of the estate.
Let the 5th person received the x part of the estate.
The sum of all the fractional parts of one estate equals to 1, so
[tex]\frac 1 8+\frac 1 5+\frac 1 5+\frac 1 {10}+x=1[/tex]
[tex]\Rightarrow \frac 5 8 +x =1[/tex]
[tex]\Rightarrow x =1-\frac 5 8 =\frac 3 8.[/tex]
Hence, the last person received 3/8 of the estate.
Abe is going to plant 54 oak trees and 27 pine trees.
Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.
What is the greatest number of trees Abe can have in each row?
Answer: There are 27 trees he can plant in one row. There is one pine tree and 2 oak trees in each row
Step-by-step explanation:
A 24-roll package of toilet paper is $14.88. If the price per roll stays the same, what would be the price of a ten-roll package?
Answer:
Step-by-step explanation:
6/8 time is twice as fast as 3/4
True or False
Answer:
False
Step-by-step explanation:
Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.
Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.
To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).
Answer:
False
Step-by-step explanation:
Write an equation for the line that passes through the given point and is parallel to the
graph of the given equation. Write your final equation in slope-intercept form.
2. 3x + 4y = 12; (-4,7)
Enter the correct value so that each expression is a perfect-square trinomial. x2 + 1/2 x +
Answer: 1/16
Step-by-step explanation:
edge2020