Answer:
5
Step-by-step explanation:
y
y=ax
where a is a constant of proportionality;
y=20, x=4
20=4a
a=20/4
a=5
y=5x
The constant of variation is 5
The constant of variation for the given relationship is 5.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given that,
y varies directly as x
So the equation will be of the form,
y = kx
Here k is the constant of variation.
Given, y is 20 when x is 4.
So, 20 = 4k
k = 20 / 4 = 5
Hence the constant of variation for the given relationship is 5.
Learn more about Direct Variation here :
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8.21 x 10^5 is more than, the same as, less than 821000?
Answer: The same as
Step-by-step explanation:
Hope this helps
Answer:
Same as
Step-by-step explanation:
Maria bought a blouse on sale for 30% off. The sale price was $28.76. What was the original price? Write an equation to model the situation and solve it. Use variable p for the original price. Round to the nearest hundredth.
Answer:
The equation is sale price=p and the original price is $41.09.
.70
Step-by-step explanation:
sale price= (1-.30)p
sale price=.70p
.70 .70
sale price=p
.70
28.76=p
.70
$41.09=p
Give the domain and range.
القسم الا نیا
1
a. domain: {1, 2, 3}, range: {1, 0, 1}
b. domain: {-1, 0, 1), range: {1, 2, 3}
c. domain: {1, 0, 1), range: {1, 2, 3}
d. domain: 1, 2, 3), range:{-1, 0, 1}
ant ancur from the choices provided
Latoya bought 16 pounds of flour for $9.
How many pounds of flour did she get per dollar?
pounds per dollar
Answer:
I think she gets 1 pound per 1.70$
Step-by-step explanation:
16/9 is 1.7
ma + (t + h)
M is -2
A is 5
T is -4
H is -8
Answer:
a
Step-by-step explanation:
Answer:
-22
explanation step by step
-2(5)+(-4+-8)
-10+-12
= -22
I will give you branilest!
What equation could you use to find the total entrance cost for a vehicle with any number of people?
Answer:
You are correct, and you could also write an expression where m = money, p = people, and v = vehicle
m · p · v = ___
I hope this helps you ^‿^
Suppose a granola bar company estimates that its monthly cost is
C(c) = 500x2 + 400% and its monthly revenue is
R(x) = -0.62% + 80022 – 300x + 600, where x is in thousands of
granola bars sold. The profit is the difference between the revenue and the
cost.
What is the profit function, P(x)?
A. P(x) = -0.623 + 1300x2 + 100x + 600
B. P(x) = 0.62+ 300x2 – 700x + 600
C. P(x) = -0.6x3 + 300x2 – 700x + 600
D. P(2) = 0.623 – 300x2 + 700x - 600
Answer:
C. P(x) = -0.6x3 + 300x^2 – 700x + 600
Step-by-step explanation:
The profit function is P(x) = -0.6x³ + 300x² - 700x + 600.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given,
Cost function, C(x) = 500x² + 400x
Revenue function, R(x) = -0.6x³ + 800x² - 300x + 600
Profit is the difference between the revenue and the cost.
Profit function is therefore the difference of revenue function and the cost function.
P(x) = R(x) - C(x)
P(x) = (-0.6x³ + 800x² - 300x + 600) - (500x² + 400x)
= -0.6x³ + 800x² - 300x + 600 - 500x² - 400x
= (-0.6x³) + (800x² - 500x²) + ( - 300x - 400x) + 600
= -0.6x³ + 300x² - 700x + 600
Hence the profit function of the granola bar company is P(x) = -0.6x³ + 300x² - 700x + 600.
To learn more about Functions, click on the link given below :
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Which line is parallel to the line 8x + 2y = 12?
Help ASP please!!!
To be parallel must the slope of the lines equal to each other.
_________________________________
[tex]8x + 2y = 12[/tex]
[tex]2y = - 8x + 12[/tex]
[tex]y = - 4x + 6[/tex]
_________________________________
From left to right ;
1) The slope-intercept form is :
[tex]y = 4x + 4[/tex]
Which means the slope = 4
Look : 4 ≠ -4 thus this is not the answer.
+++++++++++++++++++++++++++++++++++++++
2) The slope-intercept form is :
[tex]y = - \frac{1}{4}x + \frac{3}{4} \\ [/tex]
Which means the slope = -¼
Look : -¼ ≠ -4 thus this is not the answer.
+++++++++++++++++++++++++++++++++++++++
3) The slope-intercept form is :
[tex]y = - 4x - 6[/tex]
Which means the slope = -4
Look : -4 = -4 thus this is the answer.
+++++++++++++++++++++++++++++++++++++++
4) The slope-intercept form is :
[tex]y = \frac{1}{4}x + \frac{11}{4}\\ [/tex]
Which means slope = ¼
Look : ¼ ≠ -4 thus this is not the answer.
_________________________________
And we're done...
♥️♥️♥️♥️♥️
what is 2.71x1.09 plssss hurryy
Answer:
0.2439
Step-by-step explanation:
A proportion often shows the relationship between:
Answer:
It compares two numbers that can represent many of things. For example, people, food & items.
Step-by-step explanation:
Which of the following statement is true?
3 / 12 is the same as 3 ÷ 12
3/12 is the same as 12 ÷ 3
3 ÷ 12 is the same as 12/3
12/3 is the same as 3/12
Answer:
3/12 is the same as 3 divided by 12
Nina's garden is 4 1/5 meters long and 3/qo meters wide. What is the area of Nina's garden?
Answer: 63/50 meters^2 or in mixed number 1 13/50 meters^2
Step-by-step explanation:
area= length x width
length = 4 1/5= 21/5 . multiply the whole number with the denominator 4x5= 20 add 20 with the numerator 20+1=22
width = 3/10
21/5 x 3/10 ( multiply the denominators together)
21x3 / 5x10
= 63/50 meters^2 or in a mixed number 1 13/50 meters^2
(by the way I'm guessing you meant 3/10 and not 3/q0)
If (44)x = 432, what is the value of x?
Answer:
about 9.82
Step-by-step explanation:
i just divided 432 by 44 in order to isolate x
i hope that correct ans helps
Answer:
x = 9 ⁹/₁₁Step-by-step explanation:
(44)x = 432
divide both side by 44
x = 432 / 44
x = 9 ⁹/₁₁
What is the Reciprocal of 10/3
Answer:
3/10
Step-by-step explanation:
If you flip 10/3 you get 3/10
dolphin jet ski shop charges a flat fee of $37.00 plus $1.25 per hour to rent a jet ski. Marlin Jet Ski charges a fee of $30.00 plus $3.00 per hour to rent the same jet ski. Find the number of hours for which the costs are the same
Answer:
4 Hours, is when they will be the same.
Step-by-step explanation:
1.25 x 4 = 5.00 + 37.00 = 42.00
3.00 x 4 = 12.00 + 30.00 = 42.00
Therfore, at 4 hours they will be the same.
(yay)
A bucket contains 1.34 hectoliters of water. How many centiliters of water are in the bucket? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
134 centiliters
1,340 centiliters
13,400 centiliters
134,000 centiliters
Answer:
13,400
Step-by-step explanation: since Centiliters are second to last just like 13,400 it is 13,400 just common sense if it's wrong sorry.
Answer:
13,400
Step-by-step explanation:
please help asap.. 15 points!
Answer:
the answer is b
Step-by-step explanation:
A kid at the pool goes to jump from the high diving board. He climbs the stairs 3 feet, but he has to wait for the kid in front of him to go. He climbs up another 5 feet to the diving board, then jumps into the pool, descending 10 feet below the diving board. How far does the kid need to swim up to reach the surface of the water?
Answer:
Probably 5 feet
Step-by-step explanation:
Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it
Sorry if wrong and hope this helps
Whats the slope on this graph?
Answer:
[tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
I have to do step by step why the answer of (5x - 1) (5x - 1) is 25x^2 - 10x + 1.
How do i do it?
(5x - 1) (5x - 1)
Ans: 25x^2 - 10x + 1
Answer:
(5x - 1)(5x - 1) = 25x² - 10x + 1
Step-by-step explanation:
Let us solve the question step by step
We need to find the product of (5x - 1) and (5x - 1)
The first step multiply 1st term in 1st bracket by 1st term in 2nd bracket (5x by 5x)∵ 5 × 5 = 25
∵ x × x = [tex]x^{1+1}[/tex] ⇒ multiply same base means add their powers
∴ x × x = x²
∴ 5x × 5x = 25x²
The second step multiply 1st term in 1st bracket by 2nd term in 2nd bracket (5x by -1)∵ 5x × -1 = (5 × -1)x
∴ 5x × -1 = -5x
The third step multiply 2nd term in 1st bracket by 1st term in 2nd bracket (-1 by 5x)∵ -1 × 5x = (-1 × 5)x
∴ -1 × 5x = -5x
The fourth step multiply 2nd term in 2nd bracket by 2nd term in 2nd bracket (-1 by -1)∵ -1 × -1 ⇒ (-)(-) = (+)
∴ -1 × -1 = 1
The fifth step add them up∵ (5x - 1)(5x - 1) = 25x² + -5x + -5x + 1
∵ -5x and -5x are like term, then add their coefficients
∵ -5x + -5x = (-5 + -5)x
∴ -5x + -5x = -10x
∴ (5x - 1)(5x - 1) = 25x² + -10x + 1
∵ (+)(-) = (-)
∴ (5x - 1)(5x - 1) = 25x² - 10x + 1
Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant of proportionality is 42. Write an equation to represent the relationship between the number of yards of yarn Paula has and the number of hats she can knit.
Answer:
y=42 or h=y/42
Step-by-step explanation:
Then the constant would be the number of yards of yarn required for each hat
Question 10 of 10
Does this table represent a function? Why or why not?
2
1.
4
3
4
4.
слол | |
2
Сл
Answer:
No, because one x-value corresponds to two different y-values ⇒ D
Step-by-step explanation:
The relation of x and y can be a function if every x has only one value of y (x not repeated)
Examples:
The relation {(3, 5), (-4, 6), (0, 5)} is a function because every x has only one value of yThe relation {(3, 5), (-4, 6), (3, -5)} is not a function because x = 3 has two values of y 5 and -5Let us check the given table
∵ At x = 2, y = 1
∵ At x = 3, y = 4
∵ At x = 4, y = 4
∵ At x = 5, y = 2
∵ At x = 5, y = 5
∵ x = 5 has two values of y 2 and 5
→ That means x is repeated
∴ Not every x has only one value of y
∴ The table does not represent a function
∴ The right answer is D
Find the slope of the line
What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The slope of the line is (Type an integer or a simplified fraction)
OB. The slope of the line is undefined
Answer:
The slope of the line is zero because there is no change in y or x
What is the definition of supplementary angles.
Answer: either of two angles whose sum is 180°.
Step-by-step explanation:
Answer:
either of two angles whose sum is 180°
Step-by-step explanation:
we want to factor the following expression:
x^4+10x+25
which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.
Answer:
We can't use any of the patterns.
Step-by-step explanation:
Given g(x) = -X – 1, solve for x when g(x) = 3.
Answer:
You have 2 values for g(x) and they are set equal to each other. Which means.....
-x-1 = 3
-x = 3+1
-x = 4
x = 4/-1
x = -4
Please put the following numbers in order from smallest to largest: 12% 4/28 0.15
12%, 4/28, 0.15
Pretty simple.
Answer:
12%<4/28<0.15
Step-by-step explanation:
12%=0.12
4/28=1/7=0.143
0.15
Kimberly has a credit card with a 19% APR and a balance of $4,350. With her current monthly payment, Kimberly will be
able to pay off the credit card in a mere 16 months. But when Kimberly's car breaks down, she is forced to charge an
additional $1,600 to her credit card. How much will Kimberly's minimum monthly payment increase if she still wants to
pay off her credit card in 16 months?
a.
$100.00
b. $113.99
C. $309.90
d. $423.89
Mom
Answer:
B. $113.99
Step-by-step explanation:
the number of 8 x 10 to the 11th power is what
Answer:
800000000000
Step-by-step explanation:
simplify
start with 10 to the 11th power=
100000000000
then *8 =
800000000000
All fifth grade students from centerville elementary hiked around lake D. if there are 317 students about how many total miles did they hike
Answer:
317 x 18 = 5706