Answer:
Container A: 30% Cleaning Solution = 4.8 gallons
Container B: Pure Water = 55.2 gallons
Step-by-step explanation:
since 8% of 60 gallons is 4.8 that means their is 55.2 gallons of pure water
We need to mix two components (a cleaner that is 30% solution and pure water) such that we end with 60 gallons of 8% solution, and we want to know the volume of each of these two components that we need to use.
The solution is:
Container A: 30% Cleaning Solution = 16 gallons
Container B: Pure Water = 44 gallons
------------------------------------------
Now let's see how to solve this:
Let's start by defining variables:
x = volume of water used.y = volume of cleaner used.We know that we want to get 60 gallons, so we have that:
x + y = 60 gal.
And we want this to be an 8%, then we must have that the amount of solution on the left side is equal to the amount of solution on the right side.
on the left side the amount of solution is just 0.3*yon the right side the amount of solution must be (60 gal)*0.08(note that the percentages are used in decimal form).
Then we have:
0.3*y = (60 gal)*0.08
With this equation we can find the value of y:
y = (60 gal)*0.08/0.3 = 16 gal.
Now that we know the value of y, we can replace it in the equation:
x + y = 60 gal
to get the value of x:
x + 16gal = 60 gal
x = 60 gal - 16 gal = 44 gal.
So finally, we can conclude that you need to use 44 gallons of water and 16 gallons of cleaner.
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Jamar bought new headphones. The original price was $170, but Jamar bought the headphones when they were on sale for 30% off. What did Jamar pay for the new headphones?
Answer:
Amount pay = $119
Step-by-step explanation:
Given:
Original price = $170
Discount = 30%
Find:
Amount pay
Computation:
Amount pay = Original price - Discount
Amount pay = $170 - 0.30(170)
Amount pay = $170 - 51
Amount pay = $119
-2(5x - 2) + 18x + 5
Answer:
8x + 9
Step-by-step explanation:
She needs to add one half of a teaspoon of salt, 1 and one fourth teaspoons of Oregano, three fourths of a teaspoon of Basil and half as much pepper as salt. What is the total number of teaspoons of spices in the dish? Express the answer as a decimal.
Answer:
Total number of teaspoons is 2.75
Step-by-step explanation:
Here, we want to know the total number of teaspoons of spices in the dish
we can calculate this by adding together the individual number of spices
That will be ;
1/2 + 1 1/4 + 3/4 + 1/2(1/2)
1/2(1/2) represents half as much pepper as salt
1/2 = 0.5
1 1/4 = 1.25
3/4 = 0.75
1/2(1/2) = 1/4 = 0.25
The total number of tea spoons will be;
0.5 + 1.25 + 0.75 + 0.25 = 2.75
20 POINTS AND BRAINLIEST
A function is shown.
If f(30) = -11, what is the value of K?
F(x) = -x +k
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . ., and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a
decimal.
Answer:
K = 19
Step-by-step explanation:
X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.
Somebody please help!! I’ll give brainliest!!!
What is the value of x in the matrix equation below?
3/2{x,6,8,4}+y{1,4,3,2}={z,z,6z,2}
A. -2
B. 1
C. 2
D. 3
Answer:2 or -2
Step-by-step explanation:
either one is still correct
Answer: c) 2
Step-by-step explanation: on edge
Plllllllllzzzzzzz I I need a little help so don’t be shy and I know it’s a lot but it’s worth it
So thanks
Answer:
The wheel will make 8 Rotations.
The Bike will travel 75 feet
Step-by-step explanation:
Wheel: 40 feet / 5 feet per rotation = 8 rotations
Bike: 5 feet per rotation * 15 rotations = 75 feet traveled
3/8 is equal to
A.0.222
B.0.375
C.0.444
D.0.666
Answer:
B. 0.375
Step-by-step explanation:
You started a new job that pays $9.50 per hour. After 8 hours of work, you will get a bonus. Your boss tells you she
will pay you a total of $100 which includes the hourly pay and the bonus, at the end of the 8 hours. How much is the
bonus that you will receive?
Answer:
$24
Step-by-step explanation:
So because the rate of pay is 9.5 and hour, and they work 8 hours,
9.5 x 8 = 76
and because you make 100 after the 8 hours,
100-76 = 24
HELPPP MEEE PLEASEEE IM DYING HERE
Answer:
I know it for b, because this is a parralelogram, therefore AC and MN are parallel.
Step-by-step explanation:
Jody paid $1.60 for one box of 35 beads. She has 1,400 beads altogether. How much did jody pay in all for the beads (for all the boxes)
Answer: $64
Step-by-step explanation:
__________________________________________
Answer:
y = (1/4)x
Step-by-step explanation:
Look at the point (4, 1).
For every 4 gallons of white paint, he uses 1 gallon of red paint.
You can also read it as for every gallon of white paint, he uses 1/4 gallon of red paint.
y = (1/4)x
Matt was babysitting for friend's parents Saturday morning and was paid an $10 per hour for 3 hours. Later that evening, he was baby sitting for another couple that paid him $20 per hour for 5 hours. What was Matt's average rate of pay per hour for the day?
Answer:
$16.25 per hour
Step-by-step explanation:
Given that:
First babysitting pay :
$10 per hour
Duration = 3 hours
Earning = $10 * 3 = $30
Second babysitting pay:
$20 per hour
Duration = 5 hours
Earning = 20 * 5 = $100
Average rate of pay per hour for the day:
Total amount earned / total hours worked
$(30 + 100) / (3 + 5) hours
$130 / 8 hours
= $16. 25 per hour
what is the answer for 10 minutes until 2
Answer:
1:50
Step-by-step explanation:
2:00-:10=1:50
If you walk to school at a rate of 3 miles per hour, how long will it take you to walk 6 miles.
Answer:
2 hours
Step-by-step explanation:
3 miles per hour
3 x 2 = 6
Answer:
2 hours
Step-by-step explanation:
Which fractions have a decimal equivalent to a repeating decimal
Answer: 19/3
Step-by-step explanation:
If you want to find which have a decimal equivalent to a repeating decimal, all you have to do is divide each one and see which turns out to be a repeating decimal. 19 divided by 3 is 6.333333333 repeating, so it would be a repeating decimal. This is easiest to do with a calculator, but it is also important to learn how to do it by hand.
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Turn~the~fraction~into~a~decimal:[/tex]
[tex]\bold{Reduce~the~fraction~\frac{13}{65}~to~lowest~terms~by~finding~the~GCF.}[/tex][tex]\bold{13}[/tex] ÷ [tex]\bold{13=1}[/tex][tex]\bold{65}[/tex] ÷ [tex]\bold{13=5}[/tex][tex]\bold{\frac{1}{5}=0.2}[/tex][tex]2.)~Turn~the~fraction~into~a~decimal:[/tex]
[tex]\bold{Divide~\frac{141}{47} .}[/tex][tex]\bold{141}[/tex] ÷ [tex]\bold{47=3}[/tex][tex]\bold{3=3}[/tex][tex]3.)~Turn~the~fraction~into~a~decimal:[/tex]
[tex]\bold{Divide~\frac{11}{12} .}[/tex][tex]\bold{11}[/tex] ÷ [tex]\bold{12=0.916666667}[/tex][tex]\bold{0.916666666=R.epeating.}[/tex][tex]4.)~Turn~the~fraction~into~a~decimal:[/tex]
[tex]\bold{Divide~\frac{19}{3}.}[/tex][tex]\bold{19}[/tex] ÷ [tex]\bold{3=6.33333333}[/tex][tex]\bold{6.33333333=R.epeating.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~R.epeating~decimals~are:\frac{11}{12},\frac{19}{3}.}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
CASH APP
A new car is purchased for \$41,000$41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?
I need the answer to “3x+2y=r solve for x”
Answer:
[tex]x = \frac{r - 2y}{3}[/tex]
Step-by-step explanation:
3x + 2y = r
-2y -2y
3x = r - 2y
Now that 2y has been subtracted from both sides you can isolate the variable. To do that you would divide both sides by 3.
[tex]x = \frac{r - 2y}{3}[/tex]
Hope that helps and have a great day!
PLEASE HELP!! what is the value of x? what is the value of y?
Answer:
x=36° y=66°
Step-by-step explanation:
3x+6+x+30 = 180° (Supplementary angles)
4x+36 = 180
4x = 180 - 36
4x = 144
x = 36
y+3x+6 = 180° (Supplementary angles)
y+3*36+6 = 180 (plug in the value of x)
y+108+6 = 180
y= 180-108-6
y = 66
The diameter of a circle is 10 yards. Find the approximate circumference of the circle, using 3.14 for p.
Answer:
78.5
Step-by-step explanation:
Formula:
A=πr2
d=2r
10/2 = 5 (5 is the radius)
5^2= 25
25 x 3.14 = 78.5
Answer:
yes that w a sbthe answer and I got it right
If f(x) = 6x - 2, what is the value of f(4)?
O 16
O 22
O24
O26
Answer: 22
Step-by-step explanation:
6(4)-2
If f(x) = 6x - 2, the value of f(4) is 22. The correct option among the given ones is 2.
What is function?A function in mathematics is a relationship between a set of inputs (also known as the domain) and a set of outputs (also known as the range) that has the property that each input is related to exactly one output.
Functions are widely used in many branches of mathematics and are critical for modelling relationships between variables in fields such as science, engineering, and economics.
They are represented by equations or rules that specify how the output values are obtained from the input values.
The given function is f(x) = 6x - 2.
To find the value of f(4), we substitute x = 4 in the given function and evaluate:
f(4) = 6(4) - 2
f(4) = 24 - 2
f(4) = 22
Thus, the value of f(4) is 22, i.e., the correct option is 2.
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Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? Round to the nearest whole number
Answer:
59 feet per second.
Step-by-step explanation:
Firstly, we need to convert miles into feet and hours into seconds.
We know that there are 5280 feet in a mile.
To convert hours into seconds we multiply how many minutes are in an hour by how many seconds there are in a minute (60x60) to get 3600.
We multiply 5280 by 40 to get 211200 feet per hour
Because of the word "PER" we know that this is a divison problem.
211200 divided by 3600 is 58.66 repeating. Rounded to the nearest whole number makes it 59 feet per second.
Find the least common denominator (LCD) of
7/12 and 3/2
Answer:
12
Step-by-step explanation:
Rewriting input as fractions if necessary:
7/12, 3/2
For the denominators (12, 2) the least common multiple (LCM) is 12.
LCM(12, 2)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/12 = 7/12 × 1/1 = 7/12
3/2 = 3/2 × 6/6 = 18/12
What is 3,576.142 rounded to the nearest hundreds?
Answer:
3.600
Step-by-step explanation:
Solve y/8 +5 = - 10.
y =
(Type an integer or a simplified fraction.)
PLEASE HELP I WILL MARK YOU BRAINLIEST
Step-by-step explanation:
y/8=-10-5
y/8=-15
y=15×8
y=120
If a data set is normally distributed, what percent of the data will lie above the mean? 99.7% 95% 68% 50%
The normal distribution is also known as the Gaussian distribution. The percentage of the data that will lie above the mean is 50%.
What is a normal distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean.
As we know that normal distribution is symmetric to the mean, therefore, If a data set is normally distributed, the percentage of the data that will lie above the mean is 50%.
Learn more about Normal Distribution:
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What is the (approximate) absolute magnitude of a stage-5 protostar?
Answer:
M= 1.4
Step-by-step explanation:
i'll be honest I just slapped into google and a Quizlet popped up
Please help meee , i would appreciate it
Answer:
The answer is D.
Step-by-step explanation:
The answer cannot be A because the line will start to twist. The answer cannot be B because it twists at the y-intercept, so it is not a linear function. Finally, it cannot be C because there are TWO twisted lines in the function, so D is the correct answer.
Which percent is equivalent to 1/2?
O 1%
o 2%
o 25%
o 50%
Answer:
it is 50%
Step-by-step explanation:
1/2 resembles a half of something, 50 is a half of a hundred, 100 would always be the whole or 1000 or 10, the point is that the whole number would always have 1 at the front, and 1 or more zero's at the back, like if someone for example would say, "how good does this taste from a one to a ten" the half would be 5, it's not like someone would say "how good does this taste from a one to a 7, that doesn't make sense, sure it could be a(n) 1000 this time, but you would still do 500 cause it is the half of that.
PLEASE HELP ME!!! what is 41=12d−7 when d= what?
Answer:
its 4
Step-by-step explanation:
41=12d-7
48=12d
d=4
a shop sells flower fertiliser in 25kg bags and in 50kg bags. one week,the shop has two special offers for the fertiliser.
offer a(25kg) 2 bags for £35 offer b(50kg) 3 bags for £92.50
which offer(a or b ) is the best value for money?
Answer:
Offer b is the best value for money
Step-by-step explanation:
Average Value
To compare different offers of the same product, we often calculate the average value of each offer. Once we have all the values referred to a common base, we can compare and decide.
The shop is offering 2 bags of 25 Kg of fertilizer for £35 and 3 bags of 50 Kf of fertilizer for £92.50.
Since the number of kilograms per bag and the number of bags for each offer are not the same, we calculate the cost of each kilogram of fertilizer for each offer.
The first offer is for 2 bags of 25 kg, that is, 50 Kg of fertilizer. The cost of each kilogram is
£35/50 = £0.7
The second offer is for 3 bags of 50 Kg, that is, 150 Kg of fertilizer, which cost per kilogram is:
£92.50/150 = £0.62
Since the second cost per kilogram is less than the first one, offer b is the best value for money
