The cost of 5 pounds of vegetables is $7.55. What is the constant of proportionality that relates the cost of dollars, y,
to the number of pounds of vegetables, x?_(Write a numeric value in decimal form. Do not include units)
Answers
Answer:
1.51
Step-by-step explanation:
[tex]y[/tex] = Cost in dollars of vegetables
[tex]x[/tex] = Number of pounds of vegetables
[tex]y\propto x[/tex]
[tex]\Rightarrow y=kx[/tex]
where k = Constant of proportionality
[tex]k=\dfrac{y}{x}[/tex]
In one case
[tex]y = 7.55\$[/tex]
and [tex]x = 5\ \text{pounds}[/tex]
[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]
The constant of proportionality is 1.51.
Related Questions
which equation represents the vertical line passing through (7,-3)
A. x=-3
B. y=-3
C. x=7
D. y=7
Answers
Answer:
B- y=-3
Step-by-step explanation:
SOMEONE PLS HELP!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
Answers
Transformations are used to change the position of a function from one point to another. When f(x) is reflected over the y-axis, the new function g is [tex]g(x) = x + 8[/tex]
Given that:
[tex]f(x) = -3+|x - 11|[/tex]
To reflect across the y-axis, we use the following transformation rule:
[tex](x,y) \to (-x,y)[/tex]
So, the new function is:
[tex]g(x) = f(-x)[/tex]
If [tex]f(x) = -3+|x - 11|[/tex], then:
[tex]f(-x) = -3+|-x - 11|[/tex]
Factor out -1
[tex]f(-x) = -3+|-1(x + 11)|[/tex]
Remove absolute sign
[tex]f(-x) = -3+1 \times (x + 11)[/tex]
[tex]f(-x) = -3+x + 11[/tex]
Collect like terms
[tex]f(-x) = x + 11-3[/tex]
[tex]f(-x) = x + 8[/tex]
Hence, the new function is:
[tex]g(x) = x + 8[/tex]
Read more about transformations at:
https://brainly.com/question/12865301
A proportional relationship exists between x and y. When x=8 the value of y is 14.
(a) Write an equation for y in terms of x.
Answers
Answer:
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]
Step-by-step explanation:
Proportion means that the change in one quantity causes change in other quantity.
Given that A proportional relationship exists between x and y.
It can be expressed mathematically as:
y ∝ x
When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k
[tex]y = kx[/tex]
Given that y=14 when x=8
Putting in equation
[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]
Putting the value of k in equation
[tex]y = \frac{7}{4}x[/tex]
Hence,
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]
time to waste more points a yo help me
Answers
Answer:
1 mile every 6 minutes because 30 divided by 5 is 6 and 5 divided by 5 is 1
Step-by-step explanation:
I hoped this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!
what's the slope of (-2,-7),(4,-10)
Answers
Answer:
answer is -1/2 .i think it will be helpful for you
PLEASE!! For 22 points!!
Write the equation of the line that passes through the points (-4,-4) and (6,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
y = 3/5x + 3/5.
Step-by-step explanation:
the /'s are division symbols. 3 3
y = _ + _
5 5
What does y and x equals using elimination
Answers
Answer:
I got x = -3/7, y = 20/7. Hope this helps :)
Write an equation of a line that safely lands the plane
PLEASE HELP!!!
LOTS OF POINTS
GIVE AN EXPLANATION FOR ME!!!!
Answers
m=(y2-y1)/(x2-x1)
Plug in the y-coordinates of each of the ordered pairs. That is 4 and -2
Plug in the x-coordinates of each of the ordered pairs. That is -4 and 5
m=(4-(-2))/(-4-5)
m=6/-9
m=-2/3
Now that you know the slope, you want to take one of the ordered pair and plug them into the equation y=mx+b. I’ll take (-4,4). You want to find the b.
4=-2/3(-4)+b
4=8/3+b
4/3=b
So, the slope is -1/3 and the y-intercept is 4/3.
Equation: y=-2/3x+4/3
When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard deviation of 3 seconds. What is the probability that in a given race, his finishing time will be faster than 75 seconds, to the nearest thousandth?
Answers
Answer:
0.749
Step-by-step explanation:
We start by calculating the z-score
Mathematically:
z-score = (x-mean)/SD
z-score = (75-77)/3 = -2/3 = -0.67
The probability we want to calculate is;
P( X > -0.67)
we can use the standard normal distribution table for this
Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth
Can someone help me with the questions in the picture?
Answers
7.) y=2
8.) Undefined
Mr. Fink's economy car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons.
Answers
Answer:
280 miles
Step-by-step explanation:
So, 420 miles=12 gallons
That means that for 1 gallon you would be able to go 35 miles.
Just multiply that by 8. 35*8=280
CAN U GUYS HELP ME WITH THIS?!!! I WILL GIVE BRAINLY AND 15 POINTS!!??? THANKSKSKS!
Answers
Answer:
3n - 7 = 2n + 5
Step-by-step explanation:
n=12
that is the answer
Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not? (2 points)
Answers
Answer:
if the points are in a straight line going upward then they are corect
but if the points are scattered they are wrong its hard to answer this question he graph to look at
Which ratio is equivalent to 10:2
Answers
Answer:
5:1
Step-by-step explanation:
The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The equivalent is the expression that is in different forms but is equal to the same value.
The ratio is given below.
Ratio = 10 / 2
Multiply and divide the ratio by 2. Then we have
Ratio = 10 x 2 / 2 x 2
Ratio = 20 / 4
Multiply and divide the ratio by 3. Then we have
Ratio = 10 x 3 / 2 x 3
Ratio = 30 / 6
Multiply and divide the ratio by 4. Then we have
Ratio = 10 x 4 / 2 x 4
Ratio = 40 / 8
Multiply and divide the ratio by 5. Then we have
Ratio = 10 x 5 / 2 x 5
Ratio = 50 / 10
The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
The missing options are given below.
20:4
30:6
40:8
50:10
The pencils , p, we're divided into 6 groups of 2
⚠️⚠️Write an equation PLEASEE I’m almost done ⚠️⚠️
Answers
Answer:
6 divided by 2 =p (a made a little graph at the bottom to demonstrate)
Step-by-step explanation:
. . . . . . Graph←
. . . . . .
Find the slope and the y-intercept of the graph of y=6x-5.
Answers
Answer:
The slope is 6 and the y intercept is -5
Step-by-step explanation:
y=6x-5
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 6 and the y intercept is -5
Answer:
[tex]slope=6\\\\y-intercept=-5[/tex]
Step-by-step explanation:
The given equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
where:
m is the slope (the change in the y values over the change in the x values)b is the y-intercept (where the x value is 0 and the line crosses over the y-axis)x and y are corresponding coordinate points that lie on the line (x,y)Find the values:
[tex]y=(slope)x+(y-intercept)\\\\y=6x-5[/tex]
6 is in the slope place, so the slope is 6.
5 is in the y-intercept place. Note how this number has a negative sign when the original equation says "+b". This means that the y-intercept is -5.
:Done
Given ΔDEF : ΔRST, find x. 12 15 16 64
Answers
Answer:
12
Step-by-step explanation:
For ΔDEF similar to ΔRST, the value of x is 12. So, option a) is correct.
Two triangles are said to be similar if corresponding angles are equal or corresponding sides are in the same proportion.
Given triangles are similar:
ΔDEF ~ ΔRST
Therefore, using the property of similar triangle that corresponding sides of a similar triangle are in same proportion.
[tex]\dfrac{EF}{ST}=\dfrac{ED}{SR}\\\\\dfrac{x}{16}=\dfrac{3}{4}\\\\x=\dfrac{3}{4}\times 16\\\\x=12[/tex]
Thus, the value of x is 12. So, option a) is correct.
Learn more about similar triangles, here:
https://brainly.com/question/29191745
#SPJ6
WHAT IS A TAPE DIAGRAM AND WHAT DOES IT LOOK LIKE?
Answers
Answer:
A rectangular visual model resembling a piece of tape with divisions used to assist mathematical calculations. Also known as a divided bar model, fraction strip, length model or strip diagram. In mathematics education, it is used to solve word problems.
Step-by-step explanation:
Answer:
Tape diagrams are visual models that use rectangles to represent the parts of a ratio.
Here's what it looks like
50 = 2x + 12
Solve step by step.
Answers
Answer:
x=19
Step-by-step explanation:
subtract 12 from each side: 50-12=2x+12-12
38=2x
divide by 2
38/2=2x/2
19=x
Answer:
x=19
Step-by-step explanation:
50=2x+12
50-12=2x+12-12
38=2x
38/2=2x/2
x=19
how many cups are in 3 liters 1 L = 4.2 cups
Answers
Answer:
12.6 cups
Step-by-step explanation:
each liter has 4.2 cups so if you just multiply it by 3 you will get 12.6. cups.
there are 4.2 in each cup so just times that by 3 and you get 12.6
Monique said the equation y=8.5x represents her summer babysitting earnings where x is the number of hours worked and y is the amount of money earned. What is Monique’s hourly pay?
Answers
Answer:
8.5
Step-by-step explanation:
8.5 is the coefficient in front of x
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months (m) does the zookeeper need to wait for the two snakes to be the same length?
Answers
Answer:
1 months
Step-by-step explanation:
Given
Anaconda
[tex]Length = 5.23m[/tex]
[tex]Growth = 1.27m[/tex] monthly
Python:
[tex]Length = 4.76m[/tex]
[tex]Growth = 2.04m[/tex] monthly
Required
Determine when their length will be equal
First, we need to write equations that determines the growth of each snake in m months.
For both snakes;
[tex]Expression = Length + Growth * m[/tex]
For the Anaconda, the expression is:
[tex]5.23 + 1.27 * m[/tex]
[tex]5.23 + 1.27 m[/tex] --- (1)
For the Python, the expression is
[tex]4.76 + 2.04 * m[/tex]
[tex]4.76 + 2.04m[/tex] ---- (2)
Both snakes will have equal length when both expressions (1 & 2) are equal
[tex]4.76 + 2.04m = 5.23 + 1.27 m[/tex]
Collect Like Terms
[tex]2.04m - 1.27 m= 5.23 - 4.76[/tex]
[tex]0.77 m= 0.47[/tex]
Solve for m
[tex]m = \frac{0.47}{0.77}[/tex]
[tex]m = 0.61[/tex]
[tex]m = 1[/tex] --- Approximated
Hence, the zookeeper will wait for 1 month
In 2014, the enrollment at Luling High School was 625 students. In 2015, the enrollment grew to 650. By what percentage did the enrollment at Luling High School increase from 2014 to 2015?
Answers
Answer:
[tex]\%Increase = 4\%[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Population = 625[/tex]
[tex]Final\ Population = 650[/tex]
Required
Determine the percentage population increase
This is calculated using the following formula:
[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]
[tex]\%Increase = \frac{650 - 625}{625} * 100\%[/tex]
[tex]\%Increase = \frac{25}{625} * 100\%[/tex]
[tex]\%Increase = \frac{25* 100\%}{625}[/tex]
[tex]\%Increase = \frac{2500\%}{625}[/tex]
[tex]\%Increase = 4\%[/tex]
Hence, there is a 4% increment from 2014 to 2015
26 - 20f = 6 please help me
Answers
explanation : subtract 26 from both sides and then divide by -20, making f = q
Una escalera de 131313 metros está recargada contra una pared cuando su base empieza a resbalar. Cuando la base está a 121212 metros de la pared, se mueve a una razón de 5\text{ m/s}5 m/s5, start text, space, m, slash, s, end text. En ese momento, ¿a qué razón está cambiando el ángulo \thetaθtheta entre el piso y la escalera?
Answers
Answer:
El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.
Step-by-step explanation:
Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.
Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:
[tex]\cos \theta = \frac{x}{l}[/tex] (1)
Por diferenciación implícita y la definición de razón de cambio tenemos que:
[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)
Donde:
[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.
[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.
Pero tenemos que el seno del ángulo está definido por:
[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)
Si aplicamos (3) en (2), expandimos la ecuación como sigue:
[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]
[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)
Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:
[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]
[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]
El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.
A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?
Answers
Answer:
X=$7
Step-by-step explanation:
Helps me solve this problem please
Answers
Answer:
Option 1: -2
Step-by-step explanation:
Take the rise over the run, where rise is the number of units vertically up the graph and run is the number of units horizontally across the graph
This is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!
Solve 1/2x−5=10−3/4x . Check your solution.
x= __
Answers
Answer:
12
Step-by-step explanation:
can you please answer my question too? it is due soon
Answer:
x = 12
Step-by-step explanation:
1/2x-5=10-3/4x
add 5 to both sides
1/2x=15-3/4x
add 3/4x to both sides
1/2x + 3/4x = 15
2/4x + 3/4x = 15
5/4x = 15
divide both sides by 5/4
x = 15 * 4/5
x = 60/5
x = 12
if an area of a rectangle is expressed as 3x^4-2x^2-10x-20, and the width of the same rectangle can be expressed as x-2, what is the length of this rectangle?
Answers
Answer:
Length=3x^3+6x^2+10x+10
Step-by-step explanation:
given that the area A of a rectangle is A=L*W, we can find length L=A/W
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F. His body temperature in the evening is °F.
Answers
Answer:
102.6°F.Step-by-step explanation:
Aakash body temperature during the day = 99.2°F.
If by evening his body temperature increases by 3.4°F, then his body temperature in the evening will be expresses as the sum of his temperature in the day and the increment.
Temperature in the evening = 99.2°F+3.4°F.
Temperature in the evening = 102.6°F.
Hence his body temperature in the evening is 102.6°F.
Answer:
102.6
I hope this helps