Note: Consider we need to find the constant of proportionality.
Given:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
It costs $27 to rent the kayak for 5 hours.
To find:
The constant of proportionality.
Solution:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.
[tex]27=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{27}{5}=k[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].
Is this a valid argument ?Given:if an object is in the dhape of a sphere ,then it rolls. This ball is in the shape of a sphere . Conclusion:this ball rolls
Answer:
The answer is "yes, it uses the Law of Detachment as an argument".
Step-by-step explanation:
It is also the method of getting it all in the world in which we give up. It will not imply whether they give up our desire. They may not leave the desire so, we do never give up.
In this, it is committed to the outcome as long as it mixes separate purpose with such a separate result, we shall get whatever we want.In this law, If an element is true, and its hypothesis is true, Symbolically, if p, as well as p and q both, are true.22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).
help is appreciated !!!
Answer:
If the lines BC and DE are parallel, the value of c is c=-2
Step-by-step explanation:
We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).
Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c
When 2 lines are parallel there slope is same.
So, Slope of line BC =Slope of Line DE
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have:
[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]
Putting values and finding c
[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]
So, If the lines BC and DE are parallel, the value of c is c=-2
Avery owns a small business selling ice-cream. She knows that in the last week 6
customers paid cash, 48 customers used a debit card, and 16 customers used a credit
card.
If next week, she is expecting 400 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.
Answer:
About 91 customers would be expected to pay with a credit card.
Step-by-step explanation:
Well you have ro set up a ratio of 16/70 = x/400
This way the amount of people that used a credit card out of all of the people that came and you can figure out the amount of people that will use a credit card out of the 400 people that are expected tho come. You multiply like a butterfly. 70 times x and 400 by 16. Then you will get 6,400=70x divide both sides by 70 and get 91.42=x so if ypu round, 91 people are expected to pay using a credit card out of the 400 customers that are expected to come.
Jose earns $60 a day. After a few days. Jose has $240. How many days has Jose worked?
Answer:
He has worked 4 days.
Step-by-step explanation:
240 divided by 60 is 4.
If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!
(2,-1),(4,5),(6,15),(8,29),(10,47) write a linear equation that represents y as a function of x
Answer:
Line ____ Ear
The formula d-2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.
A. Solve the formula for r.
B. Find the rate(r) when the distance traveled is 130 miles.
Answer:
A. d/2 = r
B. r=65 miles/hour
Step-by-step explanation:
A. d/2 = 2r/2
B. Using the formula you found for R it is
130/2= r, therefore r = 65
The formula for r is:
r = d/2.
The rate r when the distance traveled is 130 miles is:
= 64 miles per hour.
Given,
The formula d = 2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.
We need to:
- Solve the formula for r.
- Find the rate(r) when the distance traveled is 130 miles.
What is the formula for speed?Speed = distance / time
We can find the distance as:
distance = speed x time
We have,
d = 2r where d = distance and r = rate.
Here 2 = 2 hours
The formula for r :
d = 2r
Divide both sides by 2.
d/2 = r
r = d/2
r = distance / 2 hours
The rate at a distance of 130 miles is:
d = 130 miles
r = d / 2
r = 130 / 2 = 65 miles / hour
Thus,
The formula for r is d/2.
The rate r when the distance traveled is 130 miles is 64 miles per hour.
Learn more about how to find speed here:
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Can someone help me with this??!!
Explain the difference between -34 and (-3)4, and evaluate each power.
Answer:
68
Step-by-step explanation:
the brackets make the 3 positive
What is k? (look at the attached photo for the problem, thank you!!)
what is the answer?
A triangular bike path is exactly 9 miles long. If each of the three connecting paths is a whole-number of miles long, which could be the lengths of the paths?
Answer:
2 miles, 3 miles, 4 miles
Step-by-step explanation:
could yu PLZZZZZZ mark brainliest
Answer:
2 miles, 3 miles, 4 miles
Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el importe de la compra fueron 2,700 dólares cuantas vacas y bueyes compro
Responder:
Número de bueyes = 12
Número de vacas = 24
Explicación paso a paso:
Dado que :
Número de vacas compradas = 2 veces el número de bueyes;
Sea número de bueyes = y
Número de vacas = 2 años
Costo de la vaca = 70
Costo de bueyes = 85
Costo total = 2700
Por lo tanto;
(2 años * 70) + (y * 85) = 2700
140 años + 85 años = 2700
225 años = 2700
225 años / 225 = 2700/225
y = 12
Número de bueyes = y = 12
Número de vacas = 2y = 2 * 12 = 24
: Sara took her two children out to lunch. Sara ordered a cheeseburger that cost $5.00 and her two children ordered pasta that cost $2.10 each. There is 10% sales tax. Calculate the total cost of the meal.
Answer:
15.45
Step-by-step explanation:
add everything together and divide by ten% and you should get 6.25 then you add 5.00, 2.10, 2.10, and 6.25 together to get 15.45
which is the best estimate for this expression ?
a) 300
b) 40
c) 3
d)0.4
Answer:
A
Step-by-step explanation:
Evaluate: 47.6 - 5.342
A) -42.258
B) 52.942
C) 42.258
D) -5.82
say helllooo
Answer:
the answer is C because i said so
Step-by-step explanation:
Need help will mark brainliest
Answer:
AB≅AC (two legs of isosceles triangles are always equal)
6x-14 = 4x+20
2x-14 = 20
2x = 34
x = 17
Base ⇒ 7x-12
= 7(17)-12
= 119-12
= 107
Answer:
x=17, 107
Step-by-step explanation:
Since it is given that the triangle is isosceles, we can make the following equation:
6x-14=4x+20
x=17
To find the base (7x-12), all you have to do is plug in the value of x
7x-12
7*12-12
107
I hope this helps :)
Is there another way to convert fractions to decimals (explanation pls ❤️)
Answer:
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.
Step-by-step explanation:
Answer: The simplest method is to use a calculator.
Just divide the top of the fraction by the bottom, and read off the answer. Hope this helps! If not, I’ll come up with another explanation! :)
Zack wants to purchase vinyl to go on his bathroom floor. The vinyl is sold by the foot in length. If the area of his bathroom is 100 square feet, what will one side of the square bathroom measure?
Answer:
x = 10 feet
Step-by-step explanation:
Given that,
The area of his bathroom is 100 square feet.
We need to find the one side of the square bathroom.
Let the side be x. The area of a square is given by :
[tex]A=x^2\\\\100=x^2\\\\x=10\ \text{feet}[/tex]
So, the side of the square bathroom is 10 feet.
Ahmed paid $18 for a shirt which has a marked price of $25. What is the percentage discount?
Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!
Answer:
y=8
Step-by-step explanation:
(-2,8) (3,8)
x,y. x,y
y2-y1/X2-X1=
8-(8)= 0
3-(-2)= 5
since the two points have 8 in the Y space the line would be equal to y= 8
please help i give brainliest to who ever gets it right!!!!!!
Answer:
D.
Step-by-step explanation:
Opposite numbers will be numbers with opposite signs
Option D shows -3 at one end and +3 at the other; their sum is 0
Explain why the exponents cannot be added in the product 12^3 x 11^3?? I need a simple answer that won’t be confusing pls.
Answer:
The bases aren't the same
Step-by-step explanation:
If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968
Solve this equation. Enter your answer in the box.
−56e−23e=−24
Answer: at end of explanation
Step-by-step explanation:
First simply operate the e's, so get common factor and (- 56 - 23)e = -24. This leaves you with -79e = -24. Then move the number multiplying e to dividing the other side, so e = -24 / -79, wich results in 0.8 period. So your result rounded to 2 decimal places is 0.89.
Answer:
0.304
Step-by-step explanation:
Step by Step Solution:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-56*e-23*e-(-24)=0
Step by step solution :
STEP
1
:
Solving a Single Variable Equation
1.1 Solve : -79e+24 = 0
Subtract 24 from both sides of the equation :
-79e = -24
Multiply both sides of the equation by (-1) : 79e = 24
Divide both sides of the equation by 79:
e = 24/79 = 0.304
Can someone help me out with this picture listed above??
Answer:
Step-by-step explanation:
This is an exponential decay, because the base is fraction < 1
Click on the supporting detail that correctly explains what
happens during reduction firing.
Answer:the third one
Answer: sorry i’m late ..
but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place
Step-by-step explanation:
i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!
(6th grade math)
68.2x8.4=?
Answer:
572.88
Step-by-step explanation:
Use a calculator it makes it easier
The solution of expression 68.2 × 8.4 after multiplying is,
⇒ 572.88
Given that,
A mathmatical expression to solve,
⇒ 68.2 × 8.4
Now, simplify the number and then multiply as,
⇒ [tex]68.2 \times 8.4[/tex]
⇒ [tex](68.2 \times \dfrac{10}{10} )\times ( 8.4 \times \dfrac{10}{10} )[/tex]
After multiplication the numbers we get;
⇒ [tex]\dfrac{682}{10} \times \dfrac{84}{10}[/tex]
⇒ [tex]\dfrac{57,288}{100}[/tex]
⇒ [tex]572.88[/tex]
Therefore, the solution of expression 68.2 × 8.4 is,
⇒ 572.88
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can y’all help i’m stuck i don’t understand
Answer:
C. x=2.5, DC=7.5, EC=15
Step-by-step explanation:
since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.
Now you can just do 2.5+5=7.5 so DC=7.5
2) There are 500 calories in 5 servings of Sour
Patch Kids. How many calories per serving?
How many calories are there in 8 servings?
Marta is buying 7 tickets from Ticket Buy at $13.79 each. If the broker charges $2.50 handling per ticket and $9.00 shipping, how
much is her total cost?
A)$123 03
B)$96.53
C)$177.03
D)$159.53
Answer:
123.03
Step-by-step explanation:
96.53+17.5+9=
Maurice can pack 100 cans in 20 minutes Is this a faster or slower rate than packing 160 cans in 40 minutes?
Answer:
Slower
Step-by-step explanation:
If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes
I will try to give the first one Brainlyest plz answer
Answer:
B
Step-by-step explanation: