Answer: 16.5 gallons of water should be mixed to make a 20% solution of [tex]H_2SO_4[/tex]
Step-by-step explanation: We are given the concentration of the solution in percentage, it can be taken as the molarity of the solution.
Now, to calculate the volume of water required, we use the formula:
[tex]M_1V_1=M_2V_2[/tex]
where,
[tex]M_1\text{ and }V_1[/tex] are the initial molarity and volume of the solution.
[tex]M_2\text{ and }V_2[/tex] are the final molarity and volume of the solution.
Given:
[tex]M_1=55\%\\V_1=6gallons\\M_2=20\%\\V_2=?gallons[/tex]
Putting values in above equation, we get:
[tex]55\times 6=20\times V_2\\V_2=16.5gallons[/tex]
Answer:
10.5 gallons of water should be added.
Step-by-step explanation:
Let [tex]C_{1} * V_{1} = C_{2} * V_{2}[/tex], where [tex]C_{i}[/tex] are the concentration of the solution and [tex]V_{i}[/tex] are the volume of the solution for i=1,2.
Now, substituting values, we have,
55*6 = 20*[tex]V_{2}[/tex]
i.e. [tex]V_{2}[/tex] = (6*55)/20
i.e. [tex]V_{2}[/tex] = 16.5
So, the final volume is 16.5 gallons.
Hence, we need to add 16.5 - 6 = 10.5 gallons of water.
Jack's pancakes recipe calls for 2 teaspoons baking powder and 3 cups of flour. How how much baking powder is needed if Jack uses 9 cups of flour
Answer:
6
Step-by-step explanation:
Jack would need 6 teaspoons of baking powder for 9 cups of flour to maintain the ratio given in the original recipe.
To determine how much baking powder is needed if Jack uses 9 cups of flour instead of 3, you can set up a proportional relationship because the quantity of baking powder required is directly proportional to the amount of flour used.
If the original recipe calls for 2 teaspoons of baking powder for every 3 cups of flour, for 9 cups of flour (which is 3 times as much), you would need 3 times as much baking powder. Hence, the calculation would be as follows:
2 teaspoons baking powder / 3 cups flour = x teaspoons baking powder / 9 cups flour
By cross-multiplication, we can find the value of x:
2/3 * 9 = x
x = 2 * 3 = 6 teaspoons of baking powder
Therefore, Jack would need 6 teaspoons of baking powder for 9 cups of flour to maintain the ratio given in the original recipe.
The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represents the total area of the garden
The options are
a.) 5x - 9
b.) 6x + 20
c.) 6x²- 23x + 20
d.) 6x²-14x - 9
Answer:
c.) 6x²- 23x + 20
Step-by-step explanation:
Rectangle area can be computed as length × width . The garden is a rectangle so the area can be computed by multiplying the length and the width.
Area= L × W
Length = 3x - 4
width = 2x - 5
Area = (3x - 4)(2x - 5)
Area = 3x(2x) + 3x(-5) -4(2x) -4(-5)
Note : - × - = +
Area = 6x² -15x - 8x + 20
Area = 6x² - 23x + 20
In trapezoid ABCD AC is a diagonal and ∠ABC ≅ ∠ACD. Find AC if the lengths of the bases BC and AD are 14m and 28m respectively.
Answer:
[tex]AC=14\sqrt{2}m[/tex]
Step-by-step explanation:
we are given trapezoid ABCD
AC is a diagonal
∠ABC ≅ ∠ACD
we know that
BC and AD are parallel
so, <DAC = <ACB
so, ΔABC ≅ΔACD
Since, both triangles are similar
so, their ratios must be equal
we get
[tex]\frac{BC}{AC} =\frac{AC}{AD}[/tex]
now, we can plug values
[tex]\frac{14}{AC} =\frac{AC}{28}[/tex]
[tex]AC^2=14\times 28[/tex]
[tex]AC^2=14^2\times 2[/tex]
[tex]AC=14\sqrt{2}m[/tex]
To find the length of AC, the diagonal in trapezoid ABCD, we can use the fact that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD. By setting up a proportion using the corresponding sides of the similar triangles ABC and ACD, we can find that AB/AC = 1/2. Multiplying the length of AB by 2 gives us AC = 28m.
Explanation:Given that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD are 14m and 28m respectively, we can find the length of AC, which is a diagonal in trapezoid ABCD.
Because the two angles are congruent, triangle ABC is similar to triangle ACD. This means their corresponding sides are proportional.We can set up a proportion using the corresponding sides of the triangles:The perimeter of a rectangle is 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle.
Answer:
The length for a rectangle with a perimeter of 34 units and a width of 6.5 units would be 10.5 units.
Step-by-step explanation:
To find the length, you can use the equation [34 - (6.5 x 2) ÷ 2 = the length]. So, 6.5 x 2 = 13, then 34 - 13 = 21, finally, 21 ÷ 2 = 10.5 . So the length of the rectangle is 10.5 . To double check, (6.5 x 2) + (10.5 x 2) (=) 34. So this answer is correct.
Plz I need by tonight
Answer: Yes
Step-by-step explanation: 4x5 is 20 + 2 is 22 then when you multiply that by 9 you get 198
36x5 is 180 + 18 is 198
Both answers equal each other
Dai has 3 meters of fabric that he wants to cut into 5 equal sized pieces. what is true about the length of each piece of fabric. I need the answer as a fraction.
Answer:
The length of each piece of fabric is [tex]L=\frac{3}{5}[/tex]
Step-by-step explanation:
Given : Dai has 3 meters of fabric that he wants to cut into 5 equal sized pieces.
To find : What is true about the length of each piece of fabric ?
Solution :
Dai has 3 meters of fabric.
He cuts the fabric into 5 equal sized pieces.
So, The length of each piece is defined as
[tex]L=\frac{3}{5}[/tex]
Therefore, The length of each piece of fabric is [tex]L=\frac{3}{5}[/tex]
which property is used to simplify the expression 5+(6+-6)=5+0
additive inverse property
additive identity property
associative property of addition
commutative property of addition
Answer:
additive inverse property
Step-by-step explanation:
which property is used to simplify the expression 5+(6+-6)=5+0
additive inverse property
x+-x = 0
additive identity property
0+8=8
associative property of addition
a+(b+c) = (a+b)+c
commutative property of addition
a+b=b+a
Answer: additive inverse property
Step-by-step explanation: i looked it up lol
I do not get this. Evaluate.
Simplify your answer as much as possible.
3!6!/5!2!
Answer:
18
Step-by-step explanation:
[tex]\frac{3!6!}{5!2!}[/tex]
n! = n * (n-1)!
For example 7! can be written as 7 * 6!
3! is 3* 2!
6! is 6 * 5!
[tex]\frac{3!6!}{5!2!}[/tex]
[tex]\frac{3*2!6*5!}{5!2!}[/tex]
Cancel out 5! from the top and bottom . Also cancel out 2! from top and bottom.
[tex]\frac{3*2!6*5!}{5!2!}[/tex]
3*6= 18
Find the slip of the line that passes through each pair of point (-6,1), (4,8).
X1 = -6
Y1= 1
X2= 4
Y2 = 8
8 - 1
____
4 + 6
7
_ is your answer
10
What Is the Slope And Y Intercept Of This Line?
Y = X -5
Answer:
slope = 1 , y- intercept = - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = x - 5 is in this form
with slope m = 1 and y- intercept c = - 5
Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes of an hour to fill the tank. At this rate, how many holding tanks will she fill in 1 hour?
Answer: 5/8
Step-by-step explanation:
Answers for m1 m2 m3
Answer:
<1 = 30
<2= 41
<3 = 96
Step-by-step explanation:
Angle 1 ,66 and 84 form a triangle and triangles add to 180 degrees
<1 + 66 + 84 = 180
Combine like terms
<1 +150 = 180
Subtract 150 from each side
<1 + 150 -150 = 180-150
<1 = 30
Angle 3 and 84 form a straight line. A straight line is 180 degrees.
<3 + 84 =180
Subtract 84 from each side
<3 +84-84 = 180 - 84
<3 = 96
<2 , <3 and 43 form a triangle which adds to 180 degrees,
<2 + <3 + 43 = 180
We have already found <3 to equal 96 degrees
<2 + 96+43 = 180
Combine like terms
<2 +139=180
Subtract 139 from each side.
<2 +130-139 = 180-139
<2 = 41
Wells college Aurora New York Was previously an all girls college.In 2005 the college began to allow boys to enroll.By 2012 The ratio of boys to girls was 3 to 7. If there were 200 more girls than boys in 2012 how many boys in enrolled that year
Answer:
150
Step-by-step explanation:
The ratio of boys to girls is 3 to 7.
We don't know the number of boys or girls. The number of boys and the number of girls are multiples of 3 and 7, respectively. Since they are in the ratio of 3 to 7, then by multiplying both 3 and 7 by the same number, you will get the number of boys and the number of girls. We need to find that number. Call that number x.
The ratio of boys to girls is:
3x to 7x
There are 3x boys and 7x girls.
The number of girls is 200 more than the number of boys.
7x = 3x + 200
Subtract 3x from both sides.
4x = 200
Divide both sides by 4.
x = 50
The number of boys is 3x, so
3x = 3(50) = 150
150 boys and 350 girls were enrolled that year.
Since a college was previously an all girls college, and then it began to allow boys to enroll, and by 2012 the ratio of boys to girls was 3 to 7, to determine, if there were 200 more girls than boys in 2012, how many boys were enrolled that year, the following cross multiplication calculation must be performed:
7 - 3 = 200 3 = X 4 = 200 3 = X 3 x 200/4 = X 600/4 = X 150 = X 150/3 = 50 (150 + 200) / 3 = 50
Therefore, 150 boys and 350 girls were enrolled that year.
Learn more in https://brainly.com/question/13904768
20 Points!! Will give Brainliest!!! Need Help ASAP!!! PLzz!!
Ray knows that the m<3 = m<6.
Which of the following conclusions can Ray make based on the given information?
A. Lines l and m are parallel because alternate interior angles are equal.
B. Lines l and m are parallel because alternate exterior angles are equal.
C. Lines l and m are parallel because corresponding angles are equal.
D. No conclusion can be made about the lines.
Answer:
The answer is B
Step-by-step explanation:
3 and 6 are alternate exterior angles which make lines l and m parallel.
Answer: c
Step-by-step explanation:
which is greater .513 or .5129
Answer:
.513 is larger
Step-by-step explanation:
1st method is the thousandths place larger or smaller
.1 tenths
.01 hundredths
.001 thousandths
In this case the thousandths is larger for .513
2nd method
subtract the two number
.513 - .5129 = .0001
Since the number recieved is positive this means .513 is larger
Marshall Earns a salary of 36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise. How many years will it take before Marshall and Jim earn the same salary
Answer:
It will take 6 years
Step-by-step explanation:
Marshall starts at 36,000 dollars and Jim starts at 51,000, multiply the pay raises by 6 and for Jim you get $9,000 and Marshall gets $24,000 pay raise in 6 years.
Sorry If It Is a bit confusing, I'm not really good with words. :/
Both of them will get the same salary after 6 year.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Marshall Earns a salary of $36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise.
Let x be the year in which they will get the same salary
Establishing the equation, we get
36000+4000x = 51000+1500x
Simplifying the equation,
36+4x = 51+1.5x
2.5x = 15
x = 6
Hence, Both of them will get the same salary after 6 year.
For more references on equations, click;
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If you roll 2 dice, what is the probability that the sum is 9?
thanks :) will give brainliest!
Answer:
0.1111%
Step-by-step explanation:
2 dice, each with 6 sides. 36 possible outcomes.
Possible sums for 9 are 1,8 2,7 3,6 4,5
That means there is only 4 possible ways to get 9 out of 36 possible outcomes. 4/36 is your probability
6a. Suppose you need to find a box that you can fit your cube-shaped gift into. You know that you will need to find a box that is 4 inches longer than the cube’s length, 3 inches wider than the cube’s width, and 7 inches taller than the cube’s height. Create a polynomial that represents the gift box’s volume in terms of the cube’s length/width/height, in factored and standard form
Answer:
( l + 4) * ( w + 3 ) * ( h + 7)
let l represent the length, w represent the width, and h represent the height of your cub-shaped gift.
Though, if your gift is in the shape of a cube, that would mean all the sides are the same length.
( 2 + 4 ) * ( 2 + 3 ) * ( 2 + 7 )
6 * 5 * 9 = 270
(I haven't done geometry in awhile though, so this may be incorrect unless it actually makes sense.)
Answer:
V = (x+ 4)(x + 3)(x + 7); V = x³ + 14x² + 61x + 84
Step-by-step explanation:
Let x = the side of the cube
Then the dimensions of the gift box are
l = x + 4
w = x + 3
h = x+ 7
V = lwh
V = (x+ 4)(x + 3)(x + 7) Multiply the first two terms
V = (x² + 7x + 12)(x+ 7) Remove parentheses
V = x³ + 14x² + 61x + 84
what is the midpoint between -9 and 15 on the number line? A. 3
B. 12
C. 6
D. 2
Answer:
A. 3
Step-by-step explanation:
To find the midpoint between two numbers, we add the two numbers and divide by 2
midpoint = (x1+x2)/2
midpoint = (-9+15)/2
midpoint = (6)/2
midpoint =3
Aria walked down a trail into a valley. V(d) models Aria's vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail. What does the statement V(3)<3 mean?
Answer:
When Aria had walked 3km along the trail, her vertical distance from the top of the valley was less than 3 km
Step-by-step explanation:
Remember that V(d) denotes Aria's vertical distance from the top of the valley V after she has walked d kilometers along the trail.
This means that V(3) is Aria's vertical distance from the top of the valley after she has walked 3km.
Therefore, V(3)<3 means that Aria's vertical distance from the top of the valley after she has walked 3km, is less than 3km
In other words, the statement means that when Aria had walked 3km along the trail, her vertical distance from the top of the valley was less than 3km
V(3) < 3 means Aria's vertical distance from the top of the valley is less than 3 kilometers after walking 3 kilometers along the trail. It shows her descent into the valley is not more than 3 kilometers vertically at that point.
The inequality V(3) < 3 means that after Aria has walked 3 kilometers along the trail, her vertical distance from the top of the valley is less than 3 kilometers. In other words, Aria has descended into the valley, but her descent after 3 kilometers along the trail is not greater than 3 kilometers vertically. This provides a way to understand her position relative to the top of the valley based on the distance she has walked.
Which expressions are equivalent to -6n+(-12)+4n
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
~
Answer:
A
Step-by-step explanation:
4(n-3)-6n
The complement of an angle is 53 degrees. What is the measure of an angle?
Question 3(Multiple Choice Worth 5 points) (06.08A) Simplify negative 15.5 divided by 5 .. −3.1 3.1 −3.3 3.3
A negative divided by a positive gives a negative result
So the answer is -3.1
Hope this helps!
this was correct on my test, hope it helps! ;)
(Brainliest would help a lot btw)
the ratio of 6th graders to 7th graders at a basketball game is 4:1. if there are eight 6th 7th graders how many 6th graders are there
Answer:
if there are 8 7th graders there are 32 6th graders. 4*8=32
Step-by-step explanation:
Three times the sum of a number and 2 is the same as the number minus 4
Answer:
3* ( n+2) = n-4
n=-5
Step-by-step explanation:
Three times the sum of a number and 2 is the same as the number minus 4
3* ( n+2) = n-4
Distribute
3n +6 = n-4
Subtract n from each side.
3n-n +6 =n-n-4
2n +6 = -4
Subtract 6 from each side.
2n +6-6 = -4-6
2n = -10
Divide by 2 on each side.
2n/2 = -10/2
n = -5
how do the graphs of the function f(x)=(3/2)x and g(x)=(2/3)x compare
Answer:
f is a line through 0 and (2,3)
g is a line through 0 and (3,2)
Step-by-step explanation:
f and g are proportional linear functions. They each have the form y=mx+b where b=0 and m is a fraction. The m or slope tell us the form the function takes on the graph. It is a straight line through 0 with steepness m.
[tex]f(x)=\frac{3}{2} x[/tex] has steepness 3/2. Starting at (0,0) or the origin, move up three grid lines on the y-axis and then over 2 grid lines. Mark your point at (2,3). Then connect and draw arrows on the end.
[tex]g(x)=\frac{2}{3}x[/tex] has steepness 2/3. Starting at (0,0) or the origin, move up two grid lines on the y-axis and over 3 grid lines. Mark your point at (3,2). Then connect and draw he arrows on the end.
Answer:
The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.
Step-by-step explanation:
Can I please get someone who is good at Geometry to help me? PLEASE AND THANK YOU!!!! (You just have to do problem A. Thanks again)
Answer:
x=6
Step-by-step explanation:
We can find < PMN by using the law of triangles.
The sum of the angles of a triangle adds to 180
<M + <N + < PMN = 180
32 + 64+ < PMN = 180
96 + < PMN = 180
Subtract 96 from each side
96 -96 < PMN = 180-96
< PMN =84
<PMN + <NPQ forms a straight line so it equals 180
<PMN + <NPQ=180
84 + <NPQ=180
Subtract 84 from each side
84-84 + <NPQ=180-84
<NPQ=96
<NPQ = 6x
96 = 6x
Divide each side by 6
96/6 = 6x/6
16 =x
If there’s a negative before brackets you do the opposite terms right?
Answer:Yes
Step-by-step explanation:
When the negative is on the outside of the bracket you distribute the negative to each term inside the parentheses.
Answer:
yes you would change the signs that are inside the parenthesis
Step-by-step explanation:
you do so because the negative outside the parenthesis mean you are distributing the negative to the terms.
solve this please PLZ PLZ PLZ ITS REALLY EASY!!!
Answer: 169.56
Step-by-step explanation:
A = r²θ
r = 6θ = 270° = [tex]\frac{3\pi}{2}[/tex]A = (6)²[tex](\frac{3\pi}{2})[/tex]
= 36[tex](\frac{3\pi}{2})[/tex]
= 18(3π)
= 54π
≈ 169.56
Use the diagram to answer the question
Line m is parallel to line p. M angle HEF IS 39 degrees. And m IGF is 13 degrees. Find the m EFG. Explain in detail how you know you are correct. I WILL MARK THE BRAINLIEST
Answer:
[tex]m\angle EFG=52^{o}[/tex]
Step-by-step explanation:
We have been given that line m is parallel to line p, [tex]m\angle HEF=39^{o}[/tex] and [tex]m\angle IGF=13^{o}[/tex].
Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.
We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.
We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.
[tex]m\angle EFG=m\angle IGF+m\angle EJG[/tex]
Upon substituting our given values we will get,
[tex]m\angle EFG=13^{o}+39^{o}[/tex]
[tex]m\angle EFG=52^{o}[/tex]
Therefore, measure of angle EFG is 52 degrees.