Jenna buys water from a store which allows you to bring your own containers of water and fill them up. The only catch is that you must honestly type into the store's computer how many gallons of water you took in total, written as a decimal, and then pay the amount the computer indicates.
Today, Jenna takes four containers with her. The first has a 3/4 gallon capacity, the second has a 1/8 gallon capacity, the third has a 4/5 gallon capacity, and the fourth has a 17/125 gallon capacity. She fills up all of the containers with water. What decimal should Jenna type into the computer?
Answers
Answer:
1.811
Step-by-step explanation:
To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.
\(\frac{3}{4}=.75\)
\(\frac{1}{8} =.125\)
\(\frac{4}{5}=.8\)
\(\frac{17}{125}=.136\)
Then just add all the decimals together.
Related Questions
solve for y
x + a = yb
Answers
The solution for the variable, y in the given equation as required to be determined is; y = (x + a) / b.
What is the solution for the variable, y in the given equation?As evident in the task content, it is required to determine the solution for the given variable, y according to the equation given in the task content.
Since the given equation is; x + a = yb
To solve for y; Divide both sides of the equation by b;
(x + a) / b = y
Ultimately, the solution for y is; y = (x + a) / b.
Read more on change of subject of formula;
https://brainly.com/question/401564
#SPJ1
From 1980 through 1990, the prize money, P (in $1000’s) for the singles champions at the U.S. Open can be modeled by P=30.2t+35.8 where t=0 represents 1980. According to this model, when will the prize money be $500,000?
Answers
Answer:
p=30.2t+35.8
13966.48044692737
What is the awsner to this problem
Answers
Answer:
area of shaded: 106 m²
Explanation:
First find the total area:
length * width
12 * 10
120 m²
Then find the part removed area:
length * width
7 * 2
14 m²
Area of shaded:
total area - removed part area
120 - 14
106 m²
Find the area of the whole figure.
Area of figure = (10 x 12) - (2 x 7)=> Area of figure = 120 - 14=> Area of figure = 106 m²The area of the figure is 106 m².
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
Answers
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
For more such questions on investment
https://brainly.com/question/29227456
#SPJ8
Eric went for a car rental for the weekend. He can choose one of two plants. The first plant has an initial fee of $44 and cost an additional $.12 per mile driven. The second plan has an initial fee of $57 and cost an additional eight cents per mile driven. For what amount of driving do the two plants cost the same?
Answers
Answer:
325
Step-by-step explanation:
.12x + 44 = .08x + 57
.04x = 13
x= 325
spends $7.75 on gas for her lawn mower. She earns $15.00 mowing her neighbor's yard. What is the profit
Answers
Answer:
$7.25
Step-by-step explanation:
15 - 7.75 = 7.25
Answer: $7.25
Step-by-step explanation:
15.00
-7.75
———
7.25
Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).
Answers
the expression simplified is:
\(12x^3 - 25x^2 + 9\)
How to simplify the given expression?
Here we have the expression:
\((4x - 3)*(3x^2 - 4x - 3)\)
We just need to distribute the product, we will get:
\((4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3) - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\)
Now we just need to group terms with the same exponent of x:
\(12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9\)
That is the expression simplified
If you want to learn more about simplification:
https://brainly.com/question/723406
#SPJ1
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of 1650 . What was the rate charged per hour by each mechanic if the sum of the two rates was 135 per hour?
Answers
Rates of first and second mechanics are 75 and 60 per hour respectively.
What does an equation mean?A mathematical statement or relation between two or more numeric values, variable and mathematical operations via equal sign is called an Equation.
How to solve equations in Elimination Method?Elimination method is a kind of method to solve simultaneous equations in two variables. In elimination method we compare coefficient of one of two variables and in next step we eliminate that variable using addition or subtraction and form another relation with only one variable and find the value for that one variable and then substituting that value initial equation we can get the value of another variable.
Let the rate of first mechanic and second mechanic be x and y per hour respectively.
Sum of the two rates is 135 per hour. So the suitable equation will be,
x+y = 135 ............... (i)
Since they charged together 1650 after working 10 hours by first and 15 hours by second mechanics. So the suitable equation this time will be,
10x+15y = 1650
5(2x+3y) = 1650
2x+3y = 1650/5
2x+3y = 330 ............... (ii)
Multiplying 2 with equation (i) and then subtracting it from equation (ii) we get,
(2x+3y) - 2(x+y) = 330 - 2*135
2x+3y-2x-2y = 330-270
y = 60
Substituting y=60 in equation (i) we get,
x+60 = 135
x = 135-60 = 75
Hence, the rates charged per hour are 75 and 60 per hour respectively.
To know more about Elimination Method visit:
https://brainly.com/question/25427192
#SPJ1
Please see the attached
Answers
(a). The Tanakas paid a total of $523,906.40 for the townhome.
(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.
What is simple intresst?Simple interest is the type of interest that is calculated on the principal amount only.
It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.
(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.
Down payment = $41,000
Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40
Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40
(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.
Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000
Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40
To know more about interest visit:
https://brainly.com/question/29185625
#SPJ1
Find the effective rate corresponding to the following nominal rate.5% compounded continuously.
Answers
The effective rate for a nominal rate of 5% compounded continuously over a time period of 1 year is 5.13%.
To find the effective rate corresponding to a nominal rate compounded continuously, we use the formula:
r_effective = \(e^{(r\_nominal * t)} - 1\)
where r_nominal is the nominal rate, and t is the time period.
For a nominal rate of 5% compounded continuously, the effective rate can be calculated as follows:
r_effective = \(e^{(0.05*t)}-1\)
Note that the time period t is usually expressed in years. For example, if we want to find the effective rate for a time period of 1 year, we have:
r_effective = \(e^{(0.05*t)}-1\)
= 1.051296 - 1
= 0.051296 or 5.13%
So, the effective rate for a nominal rate of 5% compounded continuously over a time period of 1 year is 5.13%.
It's important to understand the difference between nominal and effective rates. The nominal rate is the rate that is advertised or quoted, while the effective rate takes into account the frequency of compounding. The effective rate is a more accurate representation of the true interest rate because it shows the actual amount of interest earned over a given time period.
Continuous compounding means that interest is calculated and added to the principal continuously, rather than at regular intervals. This results in a higher effective rate compared to the same nominal rate compounded at regular intervals.
Learn more about nominal rate here:
https://brainly.com/question/13324776
#SPJ4
Write the number that is represented by the following expanded form: 8 ten thousands +5 thousands +4 tens
Answers
8 ten thousands means 8 times 10000 = 80000
5 thousands means 5 times 1000 = 5000
4 tens means 4 times 10 = 40
The number that is represented would be
80000 + 5000 + 40 = 85040
To find the area of △KNM, the length of the base, segment MK, is 2b, and the height is a. So an expression for the area of △KNM is
Answers
An expression for the area of △KNM is = 1/2 x 2b x a
Given,
In the question:
In triangle KNM ;
The length of the base (MK) = 2b
and, height of the triangle is= a
To write an expression for the area of △KNM .
Now, According to the question:
We know that :
Area of triangle is = 1/2 x base x height
The length of the base (MK) = 2b
and, height of the triangle is= a
Plug all the values in the area of triangle :
Here, Area of triangle is = 1/2 x 2b x a
Hence, An expression for the area of △KNM is = 1/2 x 2b x a.
Learn more about Triangle at:
https://brainly.com/question/16886469
#SPJ9
4, 12, 36,what is 3 other remaining sequence
Answers
Answer:
108, 324, 972
Step-by-step explanation:
This sequence is multiplying by ✖️3.
4✖️3=12✖️3=36✖️3=108✖️3=324✖️3=972
Hope this helps!
What's an equivalent fraction of 3/4 that has a denominator of 32
Answers
Answer:
24/32
Step-by-step explanation:
\(\frac{3}{4} = \frac{x}{32}\)
To get from 4 to 32, you multiply by 8
so to get from 3 to x, multiply by 8
The answer for this would be 24/32
A barn contains 11 animals. 7 of the animals are bats and the rest are mice. An animal leaves the barn at random, and then a second animal leaves th at random. Copy and complete the tree diagram, which shows all the possible outcor What is the probability that a mouse leaves first and then a bat? Give your answer as a fraction in its simplest form.
Answers
The probability that a mouse leaves first and then a bat is given as follows:
14/55.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
As the animal is not replaced, the probabilities for this problem are given as follows:
Mice leaves first -> 4/11.Bat leaves second: -> 7/10.Hence the probability is given as follows:
4/11 x 7/10 = 2/11 x 7/5 = 14/55.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
abhivardhansinghrathore7979
Answers
Answer:
hlo
Step-by-step explanation:
which Id I s ths and if u needs we can play t or d join eew-vtej-rxt
Answer:
thanks for the point back
Step-by-step explanation:
thanks
Someone pls help me with this problem
Answers
Answer:
B.
Step-by-step explanation: it is A. not B.
A ball is thrown downward from the top of a 150-foot building with an initial velocity of 23 feet per second. The height of the ball h after t seconds is given by the equation h= - 16t? - 23t+150. How long after the ball is thrown will it strike the ground?
Answers
Answer:
362 the answer
Step-by-step explanation:
follow nmn i hope its help
Can someone help me with this pleaseeeeee
Answers
The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.
What is the solution of the matrix equation?The solution of the matrix equation is calculated by applying Cramer's rule as shown below;
[ 1 1 -1 ] [ 7 ]
[ 2 3 0 ] [ 18 ]
[ -5 -7 -1 ] [ -43 ]
The determinant of the matrix is calculated as follows;
[ 1 1 -1 ]
[ 2 3 0 ]
[ -5 -7 -1 ]
Δ = 1 (-3 - 0) - 1(-2 - 0 ) - 1(-14 + 15)
Δ = -2
The x determinant of the matrix is calculated as follows;
[ 7 1 -1 ]
[ 18 3 0 ]
[ -43 -7 -1 ]
Δx = 7 (-3 - 0) - 1 (-18 - 0 ) - 1(-126 + 129)
Δx = -6
The y determinant of the matrix is calculated as follows;
[ 1 7 -1 ]
[ 2 18 0 ]
[ -5 -43 -1 ]
Δy = 1 (-18 - 0 ) - 7(-2 - 0 ) -1(-86 + 90)
Δy = -8
The z determinant of the matrix is calculated as follows;
[ 1 1 7 ]
[ 2 3 18 ]
[ -5 -7 -43]
Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)
Δz = 0
The values of x, y , and z is calculated as;
x = Δx/Δ = -6/-2 = 3
y = Δy/Δ = -8/-2 = 4
z = Δz/Δ = 0/-2 = 0
Learn more about matrix equation here: https://brainly.com/question/11989522
#SPJ1
A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $568.75 on a particular day. Another day she sold 14 ribeye steak dinners and 6 grilled salmon dinners, totaling $583.04 . How much did each type of dinner cost?
Answers
Answer:
Steak dinners is 35.14
Salmon dinners is 15.18
Step-by-step explanation:
Steak dinners is x
Salmon dinners is y
So
11x + 12y = 568.75
14x + 6y = 583.04
11x + 12y = 568.75
=> y = (568.75 - 11x)/12
Substitute
14x + 6[(568.75 - 11x)/12) = 583.04
14x + (568.75 - 11x)/2 = 1166.08
28x + 568.75 - 11 x = 1166.08
28x - 11x = 1166.08 - 568.75
17x = 597.33
x = 35.137 = 35.14
Substitute
y = (568.75 - 11x)/12
y = (568.75 - 386.54)/12
y = 182.21/12 = 15.18
Hope this helps.
For what values is the function g(x) = \(\frac{6}{x(x-7)}\) undefined?
Answers
At x = 0 and x = 7, the function g(x) is undefined.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression of the function is,
⇒ g (x) = 6 / x (x - 7)
Now, We know that;
The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0
Here, The expression of the function is,
⇒ g (x) = 6 / x (x - 7)
So, Function g (x) is not defined when,
x (x - 7) = 0
⇒ x = 0
or, x - 7 = 0
⇒ x = 7
Thus, At x = 0 and x = 7, the function g(x) is undefined.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!
Answers
Answer:
8.49
Step-by-step explanation:
6^2 + 6^2 = 72
√72 = 8.485... = 8.49
1. What is the midpoint of AB?
Answers
Answer:
(-4, -1/2)
Step-by-step explanation:
The endpoints of AB are (-5,-4) and (-3,3)
To find the midpoints add the endpoints and divide by 2
(-5+-3)/2, (-4+3)/2
-8/2, -1/2
-4, -1/2
ASAP Which dimensions cannot create a triangle? three angles measuring 10 degrees, 25 degrees, and 145 degrees three sides measuring 9 m, 15 m, and 9 m three angles measuring 40 degrees, 70 degrees, and 65 degrees three sides measuring 6 cm, 8 cm, and 10 cm
Answers
Answer:
Three angles measuring 40°, 70° and 65°
Step-by-step explanation:
Because they don't add up to 180°
Answer:
The correct answer is 10° 25° 145°
Step-by-step explanation:
It's because the two smallest angles added up must be greater than the largest angle to create a triangle. Your welcome.
10 points Solve for x
\(2+x\ \textgreater \ 33+3x\)
Answers
Answer:
\(x<-\frac{31}{2}\)
Step-by-step explanation:
Find the distance between the points. (-1,-3) and (7,-3)
Answers
Answer:
8
Step-by-step explanation:
7 - (-1) =
7 + 1 =
8
Hope that helps!
if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answers
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
Which number on the number line the correct position of all lines showed
Answers
Answer:
D
Step-by-step explanation: i believe it is D
The probability that A is the outcome of an experiment is 0.3
What is the probability that A is not the outcome?
Answers
Answer:
.7
Step-by-step explanation:
not allowed
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
26 kg.
b) Work out the maximum number of dogs that could have a mass of more than
26 kg.
Mass, x (kg)
0≤x≤10
10≤x≤20
20≤x≤30
30 < 10
Frequency
8
11
5
Answers
Based on the frequency table given,
a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.
b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.
How is this so?The frequency table displays the number of times each value, or range of values, appears in the data-set.
where 11 weights are between 20 and 30, and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.
This implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.
Learn more about Frequency Table:
https://brainly.com/question/16148316
#SPJ1
Learn more about maximum values;
https://brainly.com/question/30236354
#SPJ1