As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it started raining one morning. It rained steadily all day, and Felipe periodically checked to see how much rain had fallen. There is a proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) that had fallen, y. The equation that models this relationship is y=0.25x. At this rate, how long did it take until 2 inches of rain have fallen? Write your answer as a whole number or decimal.
Answer:
The time it took until 2 inches of rain fell is 8 hours
Step-by-step explanation:
You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x
To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:
2= 0.25*x
Solving:
[tex]\frac{2}{0.25}=x[/tex]
8 = x
So, remembering that the amount of time it had been raining, x, is expressed in hours, the time it took until 2 inches of rain fell is 8 hours.
Answer:
2 inches
Step-by-step explanation:
Im on IXL, and i have the exact same question but the name is emmett instead of felipe, the answer is 2 trust me
18. Let f(x)=x²+2x+c
For what values of care the roots of f(x) not real?
c<_1
c<1
c1
c>1
Answer:c<1
Step-by-step explanation:
What is the Lcm for 25,60,150
Answer:
300
Step-by-step explanation:
Use the formula C = 5 (F – 32). To determine which temperature is hotter.
30° Celsius or 85° Fahrenheit. Write just the number as your answer.
Answer:
Step-by-step explanation:
The formula u have written is incorrect. It should be C = [5 (F-32)]÷9.
To identify which is hotter, you need to bring both the values either in celsius or in Fahrenheit.
Let's convert 85°F to celsius:
C = [5 ( F - 32 )] ÷ 9
C = [5 ( 85-32 )] ÷ 9
C = [5 (53)] ÷ 9
C = 29.4 °C
thus 30°C is hotter than 85°F
what is the equation for cx+4y=8t when your solving for x
someone plz help me the phot is attached
If f(x) = - 2x + 3 then f(3) - f(4) =
Answer:2
Step-by-step explanation:
I have the problem on my my review and it says 2
Substituting the given values of X into the function, the value of f(3) - f(4) is 2
Given the function :
f(x) = - 2x + 3f(3) = - 2(3) + 3
f(3) = - 6 + 3 = - 3
For X = 4 :
f(4) = - 2(4) + 3
f(4) = - 8 + 3 = - 5
f(3) - f(4) = - 3 - (-5)
f(3) - f(4) = - 3 + 5 = 2
Therefore, the value of f(3) - f(4) is 2
Learn more : https://brainly.com/question/18106342
The prices of different items at a food
market are shown in the table above.
Ryan wants to buy 0.75 pounds of tuna
salad and 0.5 pounds of chicken salad.
How much does he spend to the nearest
cent?
Answer:
Step-by-step explanation:
Select the correct answer.
What is the justification for step 2 in the solution process?
12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
A.
the subtraction property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the multiplication property of equality
Answer:
A.
the subtraction property of equality
Step-by-step explanation:
Answer:
A. the subtraction property of equality
took test its right
Evaluate:-7(-6) =
Plz help me I’m in a test
Answer:
positive 42
Step-by-step explanation:
because to negatives make a positive and then you would multiply the two by eachother because they are directly beside eachother and then you do 7*6 which equals to 42 I really hoped this helped you
Which of the following quantities are inversely proportional?
The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.
Answer:
inversely proportional
Step-by-step explanation:
Please help! Due tomorrow!
Asheville, Candler, Canton, and Oteen are on the map. The scale for the map is 1/4 inch represents one mile.
PART A - If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?
PART B - If Candler and Oteen are 3 1/2 inch apart on the map, what is the actual distance between candler and Oteen in miles?
PART A: 2.25
PART B: 14
What's the expression? (HELP!!) 25POINTS
Answer: it looks like a commutative expression
Step-by-step explanation: im pretty sure im wrong, goodnight
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.
According to a study, for every 50C increase in rental price, the average business can expect to lose 4 rentals a day.
Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases.
b(x)= x + x+ [
Answer:
b(x) = -2X² + 19X + 114
Step-by-step explanation:
b(x) = total revenue generated per day
total revenue formula ⇒ b(x) = price x quantity
price = $3 current price + 0.5X price increase = 3 + 0.5X
quantity = 38 current quantity sold - 4 books per X = 38 - 4X
b(x) = (3 + 0.5X) · (38 - 4X)
b(x) = 114 -12X + 19X - 2X²
b(x) = -2X² + 19X + 114
Your financial advisor tells you to put away 15% of your take home pay. If you make
$1,600 and put away $250 are you putting away enough???
Answer: Yes?
Step-by-step explanation:
15% of 1600 is 240 so i think so
A rectangle is 45 cm on one side and 6 cm on another side. What is the perimeter?
Answer:
102 cm
Step-by-step explanation:
45 + 45 = 90
6 + 6 = 12
90 + 12 = 102
Be first to answer! :)
Answer:
2x + 200 = 6x + 120
Step-by-step explanation:
Super-Clean house cleaning company: 2x + 200
Power Bright: 6x + 120
Now, they have to be equal because we are trying to find the equation for total charges.
So, your equation would be 2x + 200 = 6x + 120.
Hope this helps!
Answer:
Step-by-step explanation:
Let the number of linear feet = x
Let the total cost = y
Condition One
y = 200 + 2x
Condition Two
y = 120 + 6x
Now you want the ys to be the same.
200 + 2x = 120 + 6x
simplify the expression 3(5x-3)-2x+4
Answer:
=13x-5
Step-by-step explanation:
Answer:
13x-5
Step-by-step explanation:
You would use distributive property to get 15x-9 and then the -2x+4.
Distributive property works for the numbers in the parenthesis and you multiply the 5x and the -3 by 3.
Then, you would do your basic math to get 13x-5
I need help with exponents , im a little stuck
Answer:
Exponents are when you are multiplying numbers by themselves. The symbol is this sign right here ^
Step-by-step explanation:
Exponents are usually shown as ^
but they may also look more like a number that is on the top right corner of a value.
When you have an exponent, since you are multiplying by itself, you get the number times the number times the number on and on, counting on what the value of the exponent is.
If the number looks like this for example 2^5
You should either see that or a 2 with a 5 hugging the top right corner of the 2.
To solve them, you should do 2 x 2 x 2 x 2 x 2, since you are multiplying the 2 by itself 5 times.
2^1 is basically just 2, as you are multiplying 2 by itself no times at all.
2^2 should be 4, because you are multiplying 2 by 2 twice.
2^3 is 2 x 2 x 2 which is 4x2 which is 8.
When a number goes to the power of 0, such as 2^0 it is ALWAYS 1. For some weird reason, exponents going to the power of 0 is always 1, no matter what value the bottom number is.
1^0 = 1
2^0 =1
19442380528^0 = 1
Exponents to the negative power, are more difficult, however is just as easy as remembering the powers of 0.
You just flip the number upside down, so if the number is 3^-2 then it becomes 1/3 ^2
If the number is 3^-4
You get 1/3 x 1/3 x 1/3 x 1/3 which you end up getting 1/81.
You have to square the top numbers too when you are using exponents, so if 2/3 to the power of 3 is used,
you have to do 2/3 times 2/3 times 2/3, which is 2x2x2 over 3x3x3 giving you 8/27.
The same principle applies to when you do negative exponents, which you are just flipping over the fraction or number and doing the exponent.
2/3 to the power of -3, would give you 3/2 times 3/2 times 3/2, which gives you 27/8.
I will not get into much more detail, as it is a big unit to go through, but once you get the hang of them, it is easy to understand. I appologize if you feel lost, but there are many websites that go into more detail much better than me. Khan Academy gives VERY in depth videos on how exponents work with some humor, but I hope this helped at least!
Cara has two pieces of ribbon, one 15 inches long and the other 20 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?
Answer:
5 inches
Step-by-step explanation:
Given that :
There are two pieces of ribbon with length:
15 inches and 20 inches
To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :
Calculate the greatest common factor of both lengths : 15 inches and 20 inches
____15___20
_5__ 3___4
OR
Find the factors of 15 and 20 and pick the greatest common to both
15 : 1, 3, 5, 15
20 : 1, 2, 4, 5, 10, 20
Greatest factor common to both = 5
Hence the greatest length she can cut the ribbons into without any leftover is 5 inches
The solution set for -18 x
3 > x
-18x×3>x
Calculate the product
-54x>x
now we do the same thing only different way ok
-18x×3
Multiply a negative and a positive equals a negative:(-)x(+)=(-)
-(18×3)x
Multiply the numbers
-54x
now we do the same thing only different way ok
-54x>x
Move variable to the left hand side and change its sign
-54x-x>0
the same way only different way ok
-54x>x
Move variable to the left by adding its opposite to both sides
-54x-x>x-x
the sum of two opposites equals 0
-54x-x>0
Collect like terms
-55x>0
the same way only different way ok
-54x-x
If a negative term doesn't have a coefficient, it is considered that the coefficient is -1
-54x-1x
Collect like terms by calculating the sum or difference of their coefficients
(-54-1)x
Calculate the difference
-55x
now we do the same thing only different way ok
-54x-y>0
Collect like terms
-55x>0
Divide both sides of the inequality by -55 and flip the inequality sign
x<0
Now we do the same thing only different way ok
-55x>0
Divide both sides of the inequality by-55 and flip the inequality sign
-55x÷(-55)<0÷(-55)
any expression Divided by itself equals 1
x<0÷(-55)
0 Divided by any non-zero expression equals 0
Answer : x<0
PLEASE MARK ME AS BRAINLIEST
find the rate of interest when principal rs 6400 SIMPLE INTEREST RS 768 and time 2 years
Answer:
rate of interest is 6 percent per annum.
Step-by-step explanation:
Formula for simple interest is given
SI = p*r*t/100
where
SI is simple interest
p is principal
r is the rate of interest
t is the time
_______________________________
Given
p = 6400
SI = 768
t = 2 years
r we have to find
lest sue the above formula and plug the given value in it
768 = 6400*r*2/100
=> 768 = 128r
=> r = 768/128 = 6
Thus, r = 6%
thus, rate of interest is 6 percent per annum.
what is the absulute value of -54
Answer:
54
Step-by-step explanation:
Absolute value is the number without the negative. Next time just remove the negative and you're all set!
Help with math! a, b, c or d? FAST
Answer:
d
Step-by-step explanation:
Sally received a $30 gift card that could be used to download songs. After she downloaded 7 songs , she had $15 remaining on her gift card. If each song costs the same amount to download, what is the cost of one song?
Answer:
Step-by-step explanation:
2 dalliers and 14 cents
Answer:
$2.14285714286 or $2.14
Step-by-step explanation:
This is quite simple.
#1. Take-away $15 from $30 because "$15 remain"ed.
#2. Then you get $15 dollars and divide that by 7, because she used the "same amount to download" each song so you divide 15 among 7 equally.
#3. There you go! You have the answer! it's: $2.14285714286 or $2.14 if simplified.
WooHoo!
Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17
Answer:
4
Step-by-step explanation:
Hi so basically you just convert the inches to decimals so
0.5 x 0.5 x 0.25 = 0.0625
Use a calculator to convert 0.0625 into fraction which is [tex]\frac{1}{16}[/tex]
Multiply [tex]\frac{1}{4}[/tex] by 3 = [tex]\frac{1}{64}[/tex]
Then multiply [tex]\frac{1}{16}[/tex] by [tex]\frac{1}{64}[/tex] = 4
Soo that was probably very confusing, but I hope it helps! :)
Plz click the Thanks button, I rrly appreciate it!
Answer:
length: 2 cubeswidth: 1 cubeheight: 2 cubesvolume: 4 cubesStep-by-step explanation:
We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.
It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.
Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...
2 cubes × 2 cubes × 1 cube
As with any rectangular prism volume calculation, the volume is the product of the dimensions:
V = LWH = (2)(1)(2) = 4 . . . cubes
_____
For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.
_____
Additional comment
Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).
A model car kit is built to a scale of 1cm : 32cm. The length of the model car is 13 cm. What is the length of the actual car?
Answer:
I'm late but the answer is 416 cm
Step-by-step explanation:
If every cm of the model car equals 32 centimeters of the actual car, you would just multiply 13 by 32 and get 416
I need help ASAP with all your strength and power
Answer:
ASA??
Step-by-step explanation:
ASA I think.............
Find the next term of the square 16,9,2,-5....
Answer:
- 12
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
9 - 16 = 2 - 9 = - 5 - 2 = - 7
Thus to find the next term subtract 7 from the previous term, that is
- 5 - 7 = - 12
What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?
at 4 o’clock
Answer:
120 degrees
Step-by-step explanation: