The constant of proportionality that relates the number of miles y, to the number of days x is [tex]\frac{1}{7}[/tex] .
What is proportionality?
In general, the word "proportion" is used to describe a part, share, or amount that is compared to an entire. Two ratios or fractions being equal is expressed by an equation or a statement. An analysis of two numbers in terms of their proportion. A ratio is said to be directly proportional to another if two sets of supplied numbers are increasing or decreasing in the same ratio. With the "::" or "=" symbol, proportions are indicated.
Here if the days are increasing then distance also increased . Then days directly proportional to the distance .
=> Number of days ∝ Total distance
=> x∝y
To remove proportion we hate to add constant K.
=> x= ky
Here if he runs 28 miles in 4 days. x=4, y=28.
=> 4 = k*28
=> k = 4/28
=> k = [tex]\frac{1}{7}[/tex]
the equation is x = [tex]\frac{1}{7}[/tex]y
Hence the constant of proportionality that relates the number of miles y, to the number of days x is [tex]\frac{1}{7}[/tex] .
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If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
f(4) = -4
f(3) = 0
f(-1) = 2
f(0) = 3
f(-5) = -40
Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
f(4)= 3*4-4²= -4 ⇒ correct
f(3)= 3*3-3²= 0 ⇒ correct
f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect
f(0) = 3*0-0²= 0 ⇒ incorrect
f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct
Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue, which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 3 units of the mini-blue model and 13 units of the media-blue model per hours, and Line 2 can assemble 4 units of the mini-blue model and 4 units of the media-blue model per hours. The company needs to produce at least 24 units of the mini-blue model and 64 units of the media-blue model to fill an order.Letx= the number of hours for Line 1Lety= the number of hours for Line 2.Write the system of inequalities≥24≥64Graph the system of inequalities.
The question is an illustration of inequalities and equation.
The system of inequalities are: [tex]\mathbf{3x + 4y \ge 24}[/tex] and [tex]\mathbf{13x + 4y = 64}[/tex]
Represent the number of hours for lines 1 and 2 with x and y.
So, we have:
Minibus
Line 1 = 3
Line 2 = 4
Total: At least 24
Media-blue
Line 1 = 13
Line 2 = 4
Total = 64
At least means greater than or equal to.
So, the system of inequalities are:
[tex]\mathbf{3x + 4y \ge 24}[/tex]
[tex]\mathbf{13x + 4y = 64}[/tex]
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find the difference of (k+3)-(3k-5)
Step-by-step explanation:
(k + 3) - (3k - 5) = k + 3 - 3k + 5 [expand the brack and simplify like terms]
= -2k + 8
Classify the following equation as Linear, Quadratic, or Neither
2x + 5y =7
Answer:
It is a Linear
Step-by-step explanation:
Linear ex: y = [tex]3_{x}[/tex] + 4 or 4 + [tex]3_{x}[/tex] = y
Quadratic ex: [tex]x^{2}[/tex] - 4x - 5 = 0
7 1/3- 1 1/5?
Please show work it would make it so much easier
Answer:
6 2/15
or 92/15
Step-by-step explanation:
To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number. Subtract. Simplify the answer and write as a mixed number.
Answer:
6 2/15
Step-by-step explanation:
7 1/3 - 1 1/5
turn fractions in to common denominators
1/3 x 5 = 5/15
1/5 x 3 = 3/15
Now subtract fractions
7 5/15 - 1 3/15
= 6 2/15
La división de un segmento de recta en n partes tiene un caso especial que es cuando el segmento se divide en dos partes iguales. En este caso se dice que el punto que divide al segmento en dos partes iguales, corresponde al punto medio del segmento de recta AB. Deduce las ecuaciones para k, xr y yr para este caso especial.
Answer: Creo que es correcto
Step-by-step explanation: Porque si realmente lo piensas, probablemente lo entenderías, así que sí, y espero haberte ayudado.
You purchase six municipal Bonds on the first of the year.
The current market value price is 103.
The commission charge is $5 per bond
what is the cost of purchasing these bonds ?
Answer:
C
Step-by-step explanation:
Answer:
6210
Step-by-step explanation:
let f(x)=4x+1 and g(x)=-2x f(g(-2))
Answer:
fg(-2)=17
Step-by-step explanation:
fg(x)=4(-2x)+1
=-8x+1
fg(-2)=-8(-2)+1
=16+1
17
can anyone answer this if u can pls tell me thankyou❤️
Answer:
answer in Step by step
Step-by-step explanation:
first row
4+3=7
-1+1=0
4+-3=1
second row
1+3=4
1+-1=0
-3+1=-2
thrid row
-2+3=1
-2+-1=-3
-2+-3=-5
PLS HELP Which value makes the equation 20−3x=5 true?
12
0
6
5
Answer:
hope this helps :)
Step-by-step explanation:
20−3x=5
Subtract 20 from both sides.
20-3x-20=5-20
⇒-3x=-15
divide both sides by 3
⇒-3x/-3=-15/-3
⇒x=5
Answer:
[tex] \sf \: d) \: x = 5[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 20 - 3x = 5
Then the value of x will be,
→ 20 - 3x = 5
→ -3x = 5 - 20
→ -3x = -15
→ 3x = 15
→ x = 15 ÷ 3
→ [ x = 5 ]
Hence, the value of x is 5.
Para determinar las ganancias en colones, por concepto de entradas a un museo se usa la fórmula 3000x + 1500y + 1500z, en la x corresponde a la cantidad de adultos que ingresan;y, a la de los niños, y z, a la de los adultos mayores. ¿Cuál fue la ganancia del museo durante un fin de semana si ingresaron 38 adultos, 56 niños y 15 adultos mayores?
PORFA AYUDENMEN!
How many medians a triangle can have?
Answer:
3
Step-by-step explanation:
Bruno put 7 liters of gas in his motorcyle.
How many milliliters was that?
Answer:
7000 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
1000 x 7 = 7000
Answer:
7000 milliliters
Step-by-step explanation:
7 Liters = 7000 milliliters.
In a class full of men and women, 2/9 of the class are women
What is the ratio of men to women in its simplest form?
Step-by-step explanation:
9/9 (total no. of students) - 2/9 (women)
=7/9 (male)
= 7:9
Solve this please
35 cm = [?] m
Answer:
0.35
Step-by-step explanation:
100cm = 1m
1cm = 0.01m
35cm = 0.35m
HELP THIS IS DUE SOON
Answer:
function : 2 and 3
Step-by-step explanation:
a function cant have any overlapping points on the x axis, if you can draw a line up and down (vertical) and it hits two points then it isn’t a function
with the help of three figures prove that the sum of two complementary angles is equal to 180 degree
Answer:
i have no idea
Step-by-step explanation:
i just dont know
Consider the graphs of j(x) = = 7 sin (6x- pi/2) +11 and k(x) = 7 sin(6x- pi/2) - 11. Which feature of the graph of k(x) is different from the graph of j(x)?
Answer: the vertical shift
Step-by-step explanation:
The vertical shift because the first equation j(x) is shifted up 11 while k(x) is shifted down 11. D in the equation y=acos/sin(bx-c)+d indicates if an object is moving vertically up or down.
The graph of k(x) have Vertical shifted down and graph of j(x) Vertical shifted up 11.
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
j(x) = = 7 sin (6x- pi/2) +11
k(x) = 7 sin(6x- pi/2) - 11.
The +11 in j(x) shows the Vertical shift up.
and, the '-11' in k(x) shows the Vertical shifted down 11.
Hence, the difference is of the vertical shifting up or down.
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Find the greatest common factor (reverse of distributing)
Answer:
x is the greatest common factor
Answer:
4X-4XY=0
⇔4X(1-Y)=0
Step-by-step explanation:
In Ms. Enderson's class there are 14 boys and 12 girls. What percent of girls are in the class?
Answer:
46.15%
Step-by-step explanation:
# of girls + # of boys = total # of students
12+14=26
# of girls / total # of students = percentage of girls in the class
12÷26=0.461538
Move the decimal place over two spots or multiply by 100 for the percent
46.1538%
Round up if needed, in this case I rounded up to the hundredths place.
Please help with this math problem ASAP! I will give brainliest!
Part A
Refer to the diagram below. Specifically, refer to figure 1.
Point P is added to form a right triangle.
J is at (-7,2) and P is at (11,2). Segment JP is 18 units long.
We split segment JP into 4 equal pieces to get 18/4 = 4.5; this result is added onto the x coordinate of J to get -7+4.5 = -2.5 which is the x coordinate of point Q. So Q is at (-2.5, 2)
The value -2.5 is the x coordinate of point S as well.
Notice how the ratio JQ:QP is equal to 1:3.
----------
The distance from P to H is 6 units, which divided into four pieces means 6/4 = 1.5 is added onto the y coordinate of P to get 2+1.5 = 3.5; this is the y coordinate of points R and S as the diagram indicates. Like in the previous section, the ratio PR:RH is equal to 1:3
So ultimately point S is located at (-2.5, 3.5)
If we used the distance formula to compute the lengths of segments JS and SH, then we should find that they are in the ratio 1:3. In other words, segment SH is 3 times longer compared to segment JS. This would help confirm the answer. I'll let you do this confirmation part.
Answer: (-2.5, 3.5)============================================================
Part B
Refer to figure 2 this time.
We'll have a similar thing going on here as done in part A, though the points Q and R are in different locations.
To find where Q must be, we take 5/6 of the distance from J to P (which we found was 18 units). So (5/6)*18 = 15. This 15 is added onto the x coordinate of J to get -7+15 = 8. This is the x coordinate of point Q and point T.
Similarly, (5/6)*(length of segment PH) = (5/6)*6 = 5 is added onto the y coordinate of P to form the point R(11,7). The y coordinate of this helps form the y coordinate of the point T.
In short, point T is located at (8,7)
You should find that JS/SH is equal to 5/6 when you apply the distance formula to compute the lengths of JS and SH. I'll let you do this confirmation.
Answer: (8,7)5(x-3)=3x+5 (solve for x)
Answer:
5x-15=3x+5
5x-3x=5+15
2x=20
x=20/2
x=10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Hello!
Let's distribute the parenthesis
Solve:
5(x - 3) = 3x + 55(x) - 5(3) = 3x + 55x - 15 = 3x + 5Now, we can rearrange the variable so that x is on one side and the numbers are on the other.
5x - 15 = 3x + 55x - 15 - 3x = 3x + 5 - 3x2x - 15 = 52x - 15 + 15 = 5 + 152x = 20We can isolate x by dividing by the coefficient of x (2).
2x = 202x ÷ 2 = 20 ÷ 2x = 10The value of x is 10.
I need an answer ASAP!!! Tyyyy
Part A
x = amount of money she starts with
(4/9)x = cost of the dress
(5/9)x = amount of money leftover after buying the dress
note that 4/9 and 5/9 add to 1 to represent 100% of her money
(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes
We see that she spent 5/12 of her original amount of money on shoes.
-----------------------
We can look at a more concrete example if the previous section does not make sense.
Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.
Let's say she starts off with $36
Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.
Multiply that 20 by 3/4 to get (3/4)*20 = 15
In this situation, the shoes cost $15
We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)
15/36 = (3*5)/(3*12) = 5/12
-----------------------
Answer: 5/12=======================================================
Part B
From the first section in part A, we found that:
(4/9)x = amount of money spent on the dress(5/12)x = amount of money spent on shoesAdd those two expressions
(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x
This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.
The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.
Take 1/3 of this to get:
(1/3)*(5/36)x = (5/108)x
Then set this equal to 18 and solve for x
(5/108)x = 18
5x = 18*108
5x = 1944
x = 1944/5
x = 388.80
--------------------
Let's check the answer
If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80
She's left with 388.80 - 172.80 = 216 dollars after buying the dress.
She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.
Jing now has 216 - 162 = 54 dollars left over.
1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars
This confirms our answer.
--------------------
Answer: $388.806.) Eight of the 45 fourth-year students in Gryffindor want to attend the Yule Ball. If Gryffindor is
representative of the entire school, how many of the 585 students at Hogwarts will probably attend
the next dance?
7. Alicia Spinnet handled the quaffle 464 times in 131 Quidditch matches. At this rate, how many
times should she expect to handle the quaffle in a full season of 162 matches?
Plz plz plz helpppp
Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of hours of work:
Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66
Part A: What are the missing numbers in the table? Show your work. (4 points)
Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)
Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)
((No website links please I'm giving 15 points))
Answer:
Step-by-step explanation:
Part A:
For Dog walking, he earns $30 for 5 hours of work.
He earns $36 for 6 hours of work.
$30/5 hours = $6/hour
$36/6 hours = $6/hour
He earns $6/hour dog walking.
For 8 hours, he earns 8 hours * $6/hour = $48
To earn $66, he works 66/6 = 11 hours.
5 30
6 36
8 48
11 66
Part B:
He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.
Table for yard work
Hours Money
5 $35
6 $42
8 $56
Part C:
For 5 hours, he earns $35 for yard work and $30 as a dog walker.
$35 - $30 = $5
How many meters are in a kilometer?
What is the value of x2(4 - x) + 2 when x =
3?
Answer:
The answer is 11.
Step-by-step explanation:
You replace x with the value of 3 and solve.
Answer:
23
Step-by-step explanation:
3 × 2 × 4 - 3 + 2
Which is equivalent to p ÷ –5/12?
Step-by-step explanation:
[tex] \frac{p}{( \frac{ - 5}{12} )} \\ = \frac{p}{ - 5} \times 12 \\ = \frac{ - 12p}{5} \\ thank \: you[/tex]
Hi! I need help with this!
Choose all the expressions that are equal to 0.8 x 0.03.
A. 8/100 x 3/100
B. 3/100 x 8/10
C. 80/100 x 3/100
D.3/10 x 80/10
E. 8/10 x 3/100
Please help me I have it do in a couple days and want to get it done today! Please and thank you!
Answer:B, C and E
Step-by-step explanation:
0.8 = 8 tenths
0.03 = 3 one hundredths
80/100 is the same as 8/10 or 8 tenths
3/100 is also 3 hundredths
This can be expressed by 8/10 and 3/100
Answer:
e, c, b
Step-by-step explanation:
for more info, check the picks, if this helped, please mark as brainliest
Please help, 5 stars will be given
Answer:
x. /. Y.
0. /. 1.
1. /. 3.
2. /. 5.
3. /. 7.
Step-by-step explanation: