Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get
[tex]10=k(8)[/tex]
[tex]\dfrac{10}{8}=k[/tex]
[tex]\dfrac{5}{4}=k[/tex]
Putting [tex]k=\dfrac{5}{4}[/tex] in (i), we get
[tex]y=\dfrac{5}{4}x[/tex]
Therefore, the contestant of proportionality is [tex]k=\dfrac{5}{4}[/tex] and the equation for the proportional relationship is [tex]y=\dfrac{5}{4}x[/tex].
Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as Shaq. What is the total saved amount of all three.
what is the scale factor?
Answer:
4
Step-by-step explanation:
Answer:
The ratios would be 5:7 and 20:28.
I believe the scale factor would be 4.
The larger box is 4 times the size of the smaller box.
please help ASAP giving brainliest
Answer:
Step-by-step explanation:
1=128
2=0.4
3=490
Faith went shopping for a new phone on sale. The store was offering 50% discount. If the price on the tag was $38 what would be the price after the discount but before tax,to the nearest dollar and cent
Answer:
$19
Step-by-step explanation:
Supongamos que el lector
está manejando su auto en un frío día de invierno (20ºF al exterior) y el motor se sobrecalienta (a unos 220ºF). Cuando se estaciona, el motor empieza a enfriarse. La temperatura T del motor
t minutos después de estacionarlo satisface la ecuación
ln a
T 20
200 b 0.11t
(a) De la ecuación, despeje T.
(b) Use la parte (a) para hallar la temperatura del motor después de 20 minutos 1t 202.
equivalent ratio
24:30=
44:99=
108:36=
33:9=
49:14=
Answer:
Step-by-step explanation:
24 : 30 = 4 : 5
44 : 99 = 4 : 9
108 : 36 = 3 : 1
33 : 9 = 11 : 3
49 : 14 = 7 : 2
PLEASE HELP
Which term best describes the two lines
represented by the equations below?
y = 1/3 x-5 y = 1/3x +7
A) Same Line
B) Parallel
C) Intersecting
D) Neither.
What are the roots of 0=9x^2-49
7/3 or -7/3
Step-by-step explanation:
Answer:
x=-7/3, 7/3.
Step-by-step explanation:
0=9x^2-49
9x^2-49=0
factor
(3x+7)(3x-7)=0
3x+7=0, 3x-7=0
3x=0-7, 3x=-7, x=-7/3
3x=0+7, 3x=7, x=7/3
Make p the subject of the formula k = root p-3r
Answer:
p = k ^2 + 3 r
Step-by-step explanation:
The solution of the given equation k = √(p - 3r) for p will be p = k² + 3r.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
k = √(p - 3r)
Square on both sides as,
k² = (√(p - 3r))²
k² = p - 3r
Add 3r on both sides as
k² + 3r = p - 3r + 3r
k² + 3r = p
Hence "The solution of the given equation k = √(p - 3r) for p will be p = k² + 3r. ".
For more about the equation,
brainly.com/question/10413253
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Sue is reading a book of 360 pages. She read some of the book last week. She plans to read 46 pages today. When she does, she will be 4/5 of the way through the book. How many pages did she read last week?
Answer: She read 242 pages last week.
Step-by-step explanation:
Total pages = 360
Let the number of pages she read last week = x
( Pages read last week) + (Pages read today) = [tex]\dfrac45[/tex] (Total pages)
i.e. [tex]x+46=\dfrac45(360)[/tex]
[tex]\Rightarrow x+46=288\\\\ \Rightarrow x= 288-46\\\\ \Rightarrow x=242[/tex]
Hence, she read 242 pages last week.
HELP I NEED BOTH OF THESE QUESTIONS ANSWERD AND GRAPHED ON A PAPER for 20 POINTS ! Will Mark u brainlist
Answer:
1 (-4,5), (-2,1) (2,2) (5,5)
2 (0,1) (-4,3) (-4,1)
Step-by-step explanation:
Answer:
(-4,5), (-2,1) (2,2) (5,5)
Step-by-step explanation:
What is true about the dilation?
Either the first or the third choice is correct. We can't tell which one without seeing the rest of the words ... the ones that are cut out of the picture.
Does the graph represent a function? Choose the correct descriptor.
Answer:
-negative acceleration and +positive velocity
For her daughter’s birthday party, Mrs. Tanner paid $75.00 for 15 movie tickets.
Which unit rate describes the price of each ticket?
A. $1.00 per ticket
B. $3.00 per ticket
C. $5.00 per ticket
D. $7.50 per ticket
Answer:
C-$5.00 per ticket
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
$75.00 / 15 = $5
Each ticket costs $5
A ray cannot be perpendicular to a line. true or false? ill give brainiest but don't be guessing :))
Answer:
no
Step-by-step explanation:
they cannot be perpendicular to a line because it is the shape of a right angle.
Answer: The term "perpendicular" means meeting or crossing at right angles. Lines, rays, line segments, and planes can be perpendicular.
So i would said is true
PLEASE HELP IM ON MY LAST ONE!!!
Answer:
C!!
Step-by-step explanation:
An artist spent $75 on supplies to create paintings. Each painting the artist created was sold for $25. Which function can be used to find p, the profit when c paintings are sold?
Answer:
Step-by-step explanation:
The function can be used to find p, the profit when c paintings are sold is p = 25x - c.
Given that, an artist spent $75 on supplies to create paintings.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Let the x be the number of paintings sold.
Now selling price of articles = $25x
Profit (p) = 25x - c
Hence, the function can be used to find p, the profit when c paintings are sold is p = 25x - c.
To learn more about the function visit:
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helppppppp PLS ASAPPP
Answer:
C
Step-by-step explanation:
First, let us understand that in simple terms the conjugate of a radical simply involves the change in sign of the radical
in the problem the conjugate of x+4+5
1/2 gallon in 5 hours how many gallons per hour
x
=
x=x, equals
∘
∘
degrees
Evaluate using logrithm
© 12:59 x 31540
Answer:
Step-by-step explanation:12 MJULTIPKLA BY 13
Please help what’s the answer??
Answer:
Its correct answer is sin65°/125.
Can you help me please!!!!
Answer:
Step-by-step explanation:
(-10,0)(0,-4)
find slope
m=-2/5
b=-4
y=-2/5x-4
Answer:
y=mx+b
y=-2/5x -4
(-10,0),(-5,-2)
Step-by-step explanation:
plssss help me this is due tomorrow morning
Find percent -> 2nd month.
4264*.25==1066 phone calls+=4264
==5330 for 2nd month.
for 2nd -> 3rd
6396==5330*x, solve algebraically to get .20 == 20% increase from 2nd month to 3rd month.
NO ONE IS ANSWERING THIS QUESTION! PLEASE HELP! ANSWER BOTH OF THE QUESTIONS,
Answer:
Statement false.
Statement true.
Step-by-step explanation:
The left hand side of the equation is not equal to the right hand side, the statement is false.
[tex]16\% \: of \: 250 \: = 0.16 \: \times \: 250 = 40[/tex]
[tex]16\% \: of \: 250 \: is \: equal \: to \: 250\% \: of \: 16[/tex]
The result of both statement is the same, the statement is true.
Answer:
The top one is correct because ive done it.
Step-by-step explanation:
Please Help me. Also if you could show your work thatd be great.
Answer:
3) [tex]all \: real \: numbers[/tex], [tex]( - \infty , \infty )[/tex], or [tex]- \infty \leqslant x \leqslant \infty[/tex] (same thing)
4) [tex] - \infty < y < 0[/tex] or [tex]( - \infty ,0)[/tex] (same thing)
5) [tex]-2[/tex] or [tex](0, -2)[/tex] (same thing)
Step-by-step explanation:
3) Domain represents the amount of [tex]x[/tex]-values in a function. The image shows that the function's arrows point in both directions (right and left), infinitely, so the domain would be [tex]all \: real \: numbers[/tex], [tex]( - \infty , \infty )[/tex], or [tex]- \infty \leqslant x \leqslant \infty [/tex](same thing).
4) Range represents the amount of [tex]y[/tex]-values in a function. The function goes downward forever ([tex] - \infty < y[/tex]) by the indication of an arrow and halts just under the y-axis ([tex]y < 0[/tex]). After combining these two inequalities, you see that the range is [tex] - \infty < y < 0[/tex] or [tex]( - \infty ,0)[/tex] (same thing).
5) The [tex]y[/tex]-intercept is where the function crosses the [tex]y[/tex]-axis. In this function, the [tex]y[/tex]-intercept is [tex]-2[/tex] or [tex](0, -2)[/tex] (same thing).
help...............
I'll give brainliest and heart
Answer:
-5
Step-by-step explanation:
the opposite of plus 10 is negative so u add negative 10 to positve and do the same to 5
Find the missing value of this triangle
Answer:
i think 28
Step-by-step explanation:
Answer:
It's a 90 degree angle because it is a perfect right angle
4x^2-7x=15
Solve by factoring and please please please explain or show the work
Answer:
x=3 and x=-1.25
Step-by-step explanation:
4x^2-7x=15
subtract 15 from each side:
4x^2-7x-15=0
factor (trying different numbers that the sum is 7 and the quotient is 15)
(2x-6 )(2x+2.5 )=0
2x-6=0 add 6 to each side
2x=6
x=3
2x+2.5=0 subtract 2.5 from each side
2x=-2.5
x=-1.25
What is the value of -12/a if a = -4?
A: -3
B: -1
C: 3
D: 4
Anyone help please?
:(
Answer:
C
Step-by-step explanation:
-12
---- if a = -4
a
-12
-----
-4
= 3