Given:
y is proportional to x.
y=20 and x=12.
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=20 and x=12, we get
[tex]20=k(12)[/tex]
[tex]\dfrac{20}{12}=k[/tex]
[tex]\dfrac{5}{3}=k[/tex]
Putting [tex]k=\dfrac{5}{3}[/tex] in (i), we get
[tex]y=\dfrac{5}{3}x[/tex]
Therefore, the contestant of proportionality is [tex]k=\dfrac{5}{3}[/tex] and the equation for the proportional relationship is [tex]y=\dfrac{5}{3}x[/tex].
can you please help me??
I could really use help on this, thanks frineds.
Answer:
awnser is 3 i think srry if im wrong
Step-by-step explanation:
Answer:4
Step-by-step explanation:
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the
exponential equation?
Sorry for tje late answer but it is 150 * 0.08^x
The exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
What is depreciation?Depreciation is the rate by which the value of an object reduces with respect to time. it is given by the formula,
[tex]A = P(1-\dfrac{r}{100})^t[/tex]
where A is the value of object after t period of time, P is the principal amount, r is the rate of depreciation, and t is the time period.
We know the formula of the depreciation, Also, the initial value of the car is $15,000, and the rate of depreciation r that is 8% per year. Therefore, the function of the depreciation of the car can be written as,
[tex]A = P(1-\dfrac{r}{100})^t\\\\A = 15000(1-\dfrac{8}{100})^t\\\\A = 15000(1.08)^t[/tex]
Hence, the exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
Learn more about Depreciation:
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Math club has 18 members. Each member pays
$16.40 each month. 11 members have already
paid. How much money needs to be collected?
How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5
Answer:
d
Step-by-step explanation:
c/- 4 = 16
please help
4y-4x=28 in slope-intercept form
Answer:
y=x+7
Step-by-step explanation:
Kim drew a map of the Mississippi river the scale was 5 centimetres represents 120 miles the actual length of the Mississippi river is 2,320 miles approximately what is the length in centimeters of the Mississippi river on the map
A-19cm B-11,600cm
C-97cm D-600
Answer:
Step-by-step explanation:
2320mi(5cm/120mi)=96.66cm
So the length is rounded to 97cm
I need these answers now please !!
24-10x=9
What does x equal to?
Workout 2/7+1/5 and then simplyfy it
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. does the ball pass inspection? Explain
To pass inspection, the ball must bounce back to between 68% and 75% of the starting height. written as a decimal, the ball must bounce between a low of __ feet and height of __ feet.
Answer: Yes, it does. It must bounce of a low of 4.08 feet and a high of 4.5 feet
Step-by-step explanation:
Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answer:
$348.82
Step-by-step explanation:
240 +86=326
326× 7%= 22.82
326+22.82= $348.82
Answer:
$348.82
Step-by-step explanation:
75% of b is 11 what is b
Answer:
14.67
Step-by-step explanation:
A triangle has sides that measure 9, 22, and 20. Is the triangle a right triangle?
Answer:
no
Step-by-step explanation:
Please help ;-;
Jaxon measured a line to be 5.7 inches long. If the actual length of the line is 5.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
7.5
Step-by-step explanation:
Percent Error =
Vobserved - Vtrue
Vtrue
=
5.7 - 5.3
5.3
=
0.4
5.3
= 7.5471698113208%
Answer:7.5
Step-by-step explanation:
Jenny used 15 centimeters of tape to wrap 5 presents. How much tape will Jenny need in all if she has to wrap 10 presents? Assume the relationship is directly proportional.
Answer:
30
Step-by-step explanation:
15cm for 5
5 x 2=10
15 x 2 = 30
Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points
Given:
Jake bought 3 drawing pens for $8.07.
Each pen costs the same amount.
To find:
How much did he spend for one pen?
Solution:
Let x be the cost of each pen. Then
Cost of three pens = 3x
Jake bought 3 drawing pens for $8.07.
[tex]3x=8.07[/tex]
Divide both sides by 3.
[tex]x=\dfrac{8.07}{3}[/tex]
[tex]x=2.69[/tex]
Therefore, he spend $2.69 for one pen.
What is the solution to the equation 2(x+7)=-4x+14
Answer:
x = 0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x+7)=−4x+14
(2)(x)+(2)(7)=−4x+14(Distribute)
2x+14=−4x+14
Step 2: Add 4x to both sides.
2x+14+4x=−4x+14+4x
6x+14=14
Step 3: Subtract 14 from both sides.
6x+14−14=14−14
6x=0
Step 4: Divide both sides by 6.
6x 0
6 = 6
x=0
7 2/9 - 5 5/7= [?] [?]/[?]
Answer:
MARK BRAINLIEST OwO
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
Marie has a box that contains only red and blue marbles in a ratio of 5:45. What percent of the marbles in the box were red?
Answer:
10 percent
Step-by-step explanation:
t=ratio
5x:45x
total=45x+5x=50x
5x/50x=1/10=10 percent
Which of the following options have the same value as 25%, percent of 64?
Choose 2 answers:
(Choice A)
A
25 6425⋅6425, dot, 64
(Choice B)
B
\dfrac{25}{100}\cdot 64
100
25
⋅64start fraction, 25, divided by, 100, end fraction, dot, 64
(Choice C)
C
0.25\cdot 640.25⋅640, point, 25, dot, 64
(Choice D)
D
64\div \dfrac{25}{100}64÷
100
25
64, divided by, start fraction, 25, divided by, 100, end fraction
(Choice E)
E
25\div \dfrac{64}{100}25÷
100
64
Answer: 96/100⋅25 and 0.96⋅25
Step-by-step explanation: i did it on khan academy :D
Answer:
choice A
choice c
Step-by-step explanation:
HELP!!
If we changed the -3 to a 3 in the equation, what would happen to the graph?
Answer:
It would change the y-intercept, so if it turned into a 3, the slope would just go higher at the beginning.
Step-by-step explanation:
Hope it helps!
The graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation y = 2ˣ⁻⁴ - 3 is an exponential function that has been shifted 4 units to the right and 3 units down from the basic exponential function y = 2ˣ.
If we change the -3 to a 3, we get the new equation:
y = 2ˣ⁻⁴ + 3
This new equation represents the original exponential function shifted 4 units to the right and 3 units up.
Therefore, the graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
To learn more on Graph click:
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A triangle is cut out of a square whose length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
72ft²
Step-by-step explanation:
A = ½ (12*12)
A = ½ * 144
A = 72ft²
PLEASEE I WANNA PASS PLEASE HELP!!!!
Which of the following functions represents f(n), the number of small squares in figure n?
A. f(n) = (n + 1)^2 – 1
B. f(n) = 2n^2 + 1
C. f(n) = n^2 – 1
D. f(n) = (n + 1)^2 + 1
Answer: i think its D or A.... :)
Step-by-step explanation:
I need Help can someone please help me with this. Write an equation of a function with each domain: A. [2, [infinity]) B. (-[infinity], [infinity]) C. (2, [infinity])
Step-by-step explanation:
A.
[tex]f(x) = \sqrt{x - 2} [/tex]
B.
[tex]g(x) = 2x [/tex]
C.
[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero
3 3/4 yd = how many feet please help it has to be a fraction
Jorge has 24 ounces of baking powder to use for baking loaves of bread. if each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?
Answer:
96 loaves of bread
Step-by-step explanation:
Total baking powder = 24 ounces
Baking powder used per loaf of bread = 1/4 of an ounce
loaves of bread will Jorge be able to bake = Total baking powder / Baking powder used per loaf of bread
= 24 ÷ 1/4
= 24 × 4/1
= 96 loaves of bread
loaves of bread will Jorge be able to bake = 96 loaves of bread
55% of what number is 33%?
Answer:
33% is 55% of 0.6
Step-by-step explanation:
yUH