7 gallons of pure acid and 14 gallons of 10% acid
7 liters of pure acid and 14 liters of 10% solution should be added.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
let a = amount of pure acid to be used
then (21-a) = amount of 10% solution required
A typical mixture equation
a + 0.10(21-a) = .40(21)
a+2.1-0.1a=8.4
0.9a+2.1=8.4
Subtract 2.1 on both sides
0.9a=6.3
Divide both sides by 0.9
a=7
7 liters of pure acid
21- 7 = 14 liters of 10% solution
Hence, 7 liters of pure acid and 14 liters of 10% solution should be added.
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students are voting on the color of T-shirts to wear on their field trip. there are 160 students- 65 boys and 95-girls on the field trip. a random sample of students is chosen. surveying the random people produced a representative sample of the population. which was most likely of the representative sample?
a) the representative sample contained all 160 students
b) the representative sample contained more boys than girls
c) the representative sample contained more girls than boys.
d) the representative sample contained an equal number of boys and girls
Answer: Option C
( C ) The representative sample contained more girls than boys.
Step-by-step explanation:
Fred is going to take a flight from miami
Answer:
I think it is 7hours and 15 min
Step-by-step explanation:
someone help please? 25 points
Answer:
Letter A is 12*12*12*12*12*12*12*12*12*12*12*12*12*12*12=180
Letter B is y , x = 2
Step-by-step explanation:
Layla has 4 pounds of birdseed seeds. each day she feeds the robins 1/6 pounds of seedS. for how many days can she feed the Robbins
Answer:
24
Step-by-step explanation:
since 6/6 equals a whole, then 6/6 equals 1 pound. Since she feeds the birds 1/6 of a pound each day, just find out how many 6th are in 4 pounds (24).
Hope this helps :) good luck
how many times can 1800750 go into 6
Answer:
0 times, it's too big of a number to go into 6.
Find the distance between (-4,10) and (0,12)
Answer:
Approximately 4.47 or the square root of 20.
Step-by-step explanation:
use distance formula
Brent is making lasagna for Tim and sandy.Brent wants each person to pick out a share of the lasagna.Tim thinks if he takes one half of the lasagna he will have the largest share.Sandy thinks if she takes two sixths of the lasagna she will have the largest share.Who is correct.Use numbers and symbols to support your answer.
Answer:
Tim is correct.
Step-by-step explanation:
Tim is very simple , he wants 1/2 of the food.
Sandy wants 2/6 of the food, simplifying this to 1/3 to make the tops of both fractions line up.
1/2>1/3
Tim is correct as he has the larger piece
A sign company is creating a pennant in thr shape of an equilateral triangle. The length of each side is 12 inches. What is the altitude length so the company will know what size box to ship the pennant in?
Answer:24 in
Step-by-step explanation:
the answer is 6 sqrt 3 my shlime
OOOOOOOF. HELP ME AND BRAINLIEST AND ALL POINTS GIVEAWAY
Answer:
54 square units
Step-by-step explanation:
12 times 9 = 108
108 divided by 2 equals 54
In an all boys school, the heights of the student body are normally distributed with a mean of 71 inches and a standard deviation of 2.5 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.
The Empirical Rule is being used to calculate the height distribution for the male students at a school. Based on the mean height of 71 inches and standard deviation of 2.5 inches, the height interval that represents the middle 95% of the male heights at this school is approximately from 66 to 76 inches.
Explanation:In the context of this question, we're using statistics, specifically the Empirical Rule, to find a range that represents the middle 95% of heights for the male students. The Empirical Rule states that, in a normal distribution:
About 68% of values fall within 1 standard deviation of the mean About 95% of values fall within 2 standard deviations of the mean About 99.7% of values fall within 3 standard deviations of the mean
Here, the mean height is 71 inches and the standard deviation is 2.5 inches, so applying the Empirical Rule- two standard deviations from the mean would capture about 95% of the heights:
Lower limit = Mean - 2(Standard Deviation)
= 71 - 2(2.5) = 66 inches
Upper limit = Mean + 2(Standard Deviation)
= 71 + 2(2.5) = 76 inches
So the height interval that represents the middle 95% of heights for the males at this school is 66 to 76 inches.
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Using the empirical rule and a normal distribution with a mean of 71 inches and a standard deviation of 2.5 inches, the middle 95% interval of male heights is between 66 inches and 76 inches.
Explanation:The student from the all-boys school is asking about an application of the empirical rule in statistics, which is useful for understanding data that follows a normal distribution. To find the interval that represents the middle 95% of heights, we apply the empirical rule, which states that 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. Since we are interested in the middle 95%, we calculate the interval by subtracting and adding two standard deviations from the mean.
Calculation steps:
Therefore, the middle 95% of the males heights from this school fall between 66 inches and 76 inches.
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At a children's party a 2 litre bottle of club orange is served in 125 ml cups. How many full cups of club orange can be served from the full bottle?
Answer:
16 cups
Step-by-step explanation:
Amount of club orange juice in bottle = 2 litre = 2000 ml
Capacity of cup = 125 ml
Number of cups in which 125 ml of orange juice can be served = 2000 ÷ 125
=16
I need help with this maths equation
Answer: The length of the side of a square is 20 cm.
Step-by-step explanation:
Part 1: Find the x
First, you know that all sides of a square are equal, therefore, these two equations should be equal.
6x - 1 = 4x+6
Now, you simplify.
You would move whichever like term you want (either 6x over to the side of 4x (or vice versa) or -1 to the side of the 6 (or vice versa)
In my case, I will move 4x over to the other side.
Now I have:
6x - 4x -1 = 6
You can subtract like terms, in this case 6x and 4x:
2x - 1 = 6
Now you do the same, just with the constant numbers.
You would move over the -1 to try isolate the variable. (Keep in mind that the sign (positive or negative) changes when you move it to the other side.
2x = 6 +1
2x = 7
Then, you want to leave x by itself, so you have to divided 2x by 2. What you do to that side, you have to do to the other side.
2x/2 = 7/2
x = 3.5
Part 2: Plugging x into the equation
Now, since you have to x, you have to put it in any of the equations. Keep on mind it doesn’t matter, since both sides are the same anyway.
I‘m going to use the side 6x -1.
You now have to subsitute 3.5 for the x.
You now have:
= 6 (3.5) -1
= 21 -1
= 20
Therefore, your side is equal to 20 cm.
the table shows the value of a savings bond that doubles in value after 5 years. Which statement describes the bond
Answer: its C just took on edge
Step-by-step explanation:
05.02 MC)
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A right trapezoid is shown with a height labeled 5 feet and one of the bases labeled as 8 feet, and the other base is labeled as 6 feet.
30 square feet
35 square feet
45 square feet
50 square feet
Answer:
45
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
the answer to the expression
Answer:
41/5
Step-by-step explanation:
24/5 + 17/5 = 41/5
EASY QUESTION
Focus on question 5
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
Remember the formulas for volume, and you're golden.
a) V(prism) = area of base * height
= 12 cm^2 * 7 cm = 84 cm^3
b) V(prism) = area of base * height
= 88 cm^2 * 160 cm = 14080 cm^3
c) V(cylinder) = area of base * height
= 54 cm^2 * 1.5 cm = 81 cm^3
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
1. Four times a number minus twenty-one is the same as six times
the number plus eleven. What is the number?
Answer: -16
Step-by-step explanation:
Let the number be y
Four times a number minus twenty-one can be written as:
(4 × y) - 21 = 4y - 21
Six times the number plus eleven can be written as:
(6 × y) + 11 = 6y + 11
Combining both equations will give:
4y - 21 = 6y + 11
4y - 6y = 11 + 21
-2y = 32
y = 32/-2
y = -16
The number is -16
5.. A hemisphere has a radius of 9 centimeters. Find the volume of the hemisphere in cubic centimeters. Round to the
nearest tenth.
The volume of the hemisphere with a radius of 9 centimeters is 1526.8 cubic centimeters.
Explanation:To find the volume of the hemisphere with a radius of 9 centimeters, we use the formula for the volume of a sphere and then divide it by 2, because a hemisphere is half of a sphere. The volume V of a sphere is given by V = (4/3)πr³, where r is the radius.
Therefore, the volume of the hemisphere is V = ½ × (4/3)πr³. Plugging in the given radius:
V_hemisphere = ½ × (4/3)π × (9 cm)³
V_hemisphere = ½ × (4/3) × 3.1416 × 729 cm³
V_hemisphere = ½ × (4× 3.1416 × 243)
V_hemisphere = ½ × 3053.6288 cm³
V_hemisphere = 1526.8144 cm³
When rounded to the nearest tenth, the volume of the hemisphere is 1526.8 cm³.
Yoo i need help!!
Which are solutions of the equation x2 – 16 = 0? Check all that apply.
x = –8
x = –4
x = –2
x = 2
x = 4
x = 8
Answer: B) -4 and E) 4
Step-by-step explanation:
Edg 2022
One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 812, find the numbers.
Answer:
first number = 89second number = 534third number = 189Step-by-step explanation:
Let the first number be x
Given second number is 6 times a first number.
If first number is x then second number is 6*x = 6x
Given third number is 100 more than the first number
If first number is x then third number is x+100 = x+100
Sum of these three numbers in terms of x
is
sum = x+ 6x+x+100 = 8x+100 __________1
Given, that sum of these numbers is 812.
equating 812 with equation 1 we have,
8x+100 = 812
=> 8x = 812- 100
=> 8x = 712
=> x = 712/8 = 89.
Therefore,
first number = x = 89
second number = 6x = 89*6= 534
third number = x+100 = 89+100 = 189
The three numbers in the problem are 89, 534, and 189. We found these by defining the first number as x, creating equations based on the given relationships, and solving for x.
Let's define the first number as x. According to the problem, the second number would be 6x (as it is 6 times the first number), and the third number would be x + 100 (as it is 100 more than the first number). The sum of these three numbers is given as 812. So, we can set up the equation:
x + 6x + (x + 100) = 812
Combine like terms to simplify the equation:
8x + 100 = 812
Subtract 100 from both sides of the equation:
8x = 712
Divide both sides by 8 to find the value of x:
x = 89
Now that we have the value of the first number, we can find the other two numbers:
The second number is 6 times 89, which is 534.
The third number is 89 + 100, which is 189.
Therefore, the three numbers are 89, 534, and 189.
Which transformation will be equivalent to rotating a figure 90° counterclockwise
Answer:
Reflecting over the x-axis and then reflecting over the line y = x.
Step-by-step explanation:
A rotation 90° counterclockwise will map every point (x, y) to (-y, x).
Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.
Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.
Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y). Following this with a reflection across y=x will switch the coordinates giving us (-y, x). This is the correct transformation.
Answer:
he is correcting
Step-by-step explanation:
The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the volume of the ice cream cone in cubic centimeters?
We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice-cream cone.
We will use volume of cone formula to solve our given problem.
[tex]V=\frac{1}{3}\pi r^2 h[/tex], where
r = Radius of cone,
h = Height of cone.
We know that diameter is two times the radius, so radius will be half of diameter that is [tex]r=\frac{7}{2}[/tex].
[tex]V=\frac{1}{3}\pi\cdot (\frac{7}{2})^2\cdot 10[/tex]
[tex]V=\frac{1}{3}\pi\cdot (\frac{49}{4})\cdot 10[/tex]
[tex]V=128.2817[/tex]
[tex]V\approx 128.3[/tex]
Therefore, the volume of the cone would be approximately 128.3 cubic cm.
The two-way frequency table below shows data on a student's performance on a math test and that student's
gender for students in Ms. Matchenbacker's class.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Answer:
"female" and "pass" = 0.7368
"female" and "fail" = 0.2632
"male" and "pass" = 0..7368
"male" and "fail" = 0.2632
Step-by-step explanation:
To find the values for the row relative frequency, we just need to divide each value of the first table by the sum of the values of its respective row.
So, we will have that:
Relative value for "female" and "pass": 42 / (42 + 15) = 0.7368
Relative value for "female" and "fail": 15 / (42 + 15) = 0.2632
Relative value for "male" and "pass": 14 / (14 + 5) = 0..7368
Relative value for "male" and "fail": 5 / (14 + 5) = 0.2632
The two-way table of row relative frequencies should be completed as follows;
Pass Fail Row total
Female 0.74 0.26 1.00
Male 0.74 0.26 1.00
How to complete two-way table of row relative frequencies?In order to determine each of the values for the row relative frequency, we would have to divide each value in the column by the sum of the values in the corresponding row of the two-way frequency table;
Relative frequency for "female" and "pass" is given by:
42/(42 + 15) = 0.7368 ≈ 0.74.
Relative frequency for "female" and "fail" is given by:
15/(42 + 15) = 0.2632 ≈ 0.26.
Relative frequency for "male" and "pass" is given by:
14/(14 + 5) = 0.7368 ≈ 0.74.
Relative frequency for "male" and "fail" is given by:
5/(14 + 5) = ≈ 0.26.
0.74 + 0.26 = 1.00
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Given that CA = CB and m∠CPB = 90 degrees, which statement can you conclude is true?
Answer:
Step-by-step explanation:
I'm guessing this is what you were talking about?
6 + b/5= 2 Please help guys
Answer:b=-20
Step-by-step explanation:
You start by subtracting 6 on both sides to get b/5=-4. To get b alone, you multiply by 5 on both sides and get the answer of b=-20
What is the solution of StartRoot 2 x + 4 EndRoot = 16?
We start with
[tex]\sqrt{2x+4}=16[/tex]
Since both sides of the equality are positive, we can square them to get
[tex]2x+4=256[/tex]
Subtract 4 from both sides and then divide both sides by 2:
[tex]2x+4=256 \iff 2x=252\iff x=126[/tex]
Answer:
x=126
Step-by-step explanation:
The Adeeva's gross monthly income is $5600. They have 18 remaining payments of $ 360 on a new car. They are applying for a 15-year, $142 comma 000 mortgage at 7.5%. The taxes and insurance on the house are $270 per month. The bank will only approve a loan that has a total monthly mortgage payment of principal, interest, property taxes, and homeowners' insurance that is less than or equal to 28% of their adjusted monthly income. What is 28% of Adevas income
Answer:
$1,467.20
Step-by-step explanation:
Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20
To calculate 28% of $5600, multiply 5600 by 0.28. The result is $1568, which is 28% of Adeva's gross monthly income.
Explanation:The issue is figuring out 28% of Adeeva's gross monthly salary, which is fixed at $5600. The calculation is simple to perform using the (Amount/Total) x 100 rule for percentage calculations. The decimal equivalent of 28% is 0.28, so multiply $5600 by that number to get 28%. The computation yields a value of $1568. Therefore, $1568 or 28% of Adeeva's gross monthly revenue. By analyzing particular sections of overall profits, this technique demonstrates a fundamental use of percentages, enabling accurate financial computations and planning.
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PLEASE HELP ASAP!!!!!!! 1. Calculate the volume of this solid using the formula V=Bh (all angles are 90 degrees).
Answer:
V: 700
Step-by-step explanation:
refer to the pics. please rate and thumbs up
PLEASEEEE HELPPPPP MEEEE ITS PLATO!!!
Select the correct answer.
Consider the function given below.
f(x) = |x − 5| + 2
Which of the following statements about the y-values of the graph of the function is true?
A. The y-values are all less than or equal to 2.
B. The y-values are all greater than or equal to 2.
C. The y-values are all less than or equal to 5.
D. The y-values are all greater than or equal to 5.
Reset
Answer:
B
Step-by-step explanation:
No matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2. Therefore, the correct answer is B. Hope this helps!
The y values are all greater than or equal to 2. The correct option is B.
What is a Function?A function is a law that relates a dependent and independent variable.
The function is
f(x) = |x − 5| + 2
The domain of the function is all negative and positive integers.
The range is all the possible function values, the function value will always be greater than or equal to 2.
At x = 5 , f(x) = 2
Therefore, the y values are all greater than or equal to 2. The correct option is B.
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Assume that the following confidence interval for the difference in the mean length of male (sample 1) and female babies (sample 2) at birth was constructed using independent simple random samples. What does the confidence interval suggest about the difference in length between male babies and female babies? minus0.2 in.less thanmu 1minusmu 2less than1.7 in.
found the answer, it suggests there is no difference in the length between male and female babies
Answer:
The example stated indicate that there is no difference in the means of the two samples
Step-by-step explanation:
Solution
Recall that
The Confidence interval in the mean length of male (sample 1) and female sample (2) babies,which is,
Male babies= sample 1
Female babies = sample 2
What is the difference in length between male and female babies as suggested by the Confidence interval
Now,
The calculated Confidence interval is given as:
-0.2 < mu1 - mu2 < 1.7
So,
0 is included in the above CI, this indicates or suggests that there is no difference in the means of the two samples