Agatha needs 12.5 milliliters of 50% solution, and 37.5 milliliters of 10% solution.
Since for a chemistry experiment, Agatha needs 50 milliliters of 20% acetic acid solution, and the laboratory only has 10% and 50% acetic acid solutions, and Agatha plans to make the 20% acetic acid solution by mixing together appropriate amounts of the two solutions, to determine the amounts of 10% and 50% acetic acid solution that should be mixed to make 50 milliliters of 20% acetic acid solution, the following calculation must be performed:
50 x 0.2 = 10 50 x 0.5 + 0 x 0.1 = 25 25 x 0.5 + 25 x 0.1 = 15 10 x 0.5 + 40 x 0.1 = 9 15 x 0.5 + 35 x 0.1 = 11 12.5 x 0.5 + 37.5 x 0.1 = 10
Therefore, Agatha needs 12.5 milliliters of 50% solution, and 37.5 milliliters of 10% solution.
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Write 2 different word phrases for the expression (52 + 8) divided 30
Answer:
fifty two plus eight divided by thirty
eight plus fifty two divided by thirty
Step-by-step explanation:
I just switched them around.
Answer:
1) Thirty divided by (fifty-two plus eight)
2) (52+8)
30
Step-by-step explanation:
find the vertex f(x)=x^2+6x-7
\(\bold{Heya...}\)
\(\sf{6 \: - \: (1 \: x \: 4) \: - \: 2}\)
Explain into your own words.
Thanks~
Answer:
0
Explanation:
Given expression:
\(\sf 6 - (1 \times 4) -2\)
Use BODMAS method:
brackets, order, division, multiplication, addition, subtraction
First simplify variables inside brackets
\(\sf 6 - (4) -2\)
Then simply use subtract integers
\(\sf 0\)
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's get it done using Bodmas Rule ~
\(\qquad \sf \dashrightarrow \: 6 - (1 \times 4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - (4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - ( 4 + 2)\)
\(\qquad \sf \dashrightarrow \: 6 - 6\)
\(\qquad \sf \dashrightarrow \: 0\)
We will get the end result 0, on simplification ~
2.please I need help
9514 1404 393
Answer:
48°60°72°Step-by-step explanation:
The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:
4×12° : 5×12° : 6×12° = 48° : 60° : 72°
Angles 1 to 3 are 48°, 60°, 72°, respectively.
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
Which of these is NOT a theme for "The Treasure of Lemon Brown"?
A. Memories
B. Friendship
C. Basketball
D. Family
Answer:
C; Basketball
Step-by-step explanation:
Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."
He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.
Hope this helped! :D
What is the gradient of the graph shown
A). -1
B). 1
C). Unidentified
9514 1404 393
Answer:
C). Undefined
Step-by-step explanation:
The gradient of a line is "rise"/"run". Here, there is no horizontal run, so the gradient expression involves division by 0. Division by zero gives a result that is "undefined."
The gradient of the line on the graph is "undefined."
2. Blake interviewed 24 students to see whether they collected sports cards and whether they participated in sports. The table below shows his data Sports-Card Collecting and Sports Participation Collects Sports Cards Does Not Collect Sports Cards Participates in Sports 6 Does Not Participate in Sports 3 7 How many total students Blake interviewed, participate in sports?
Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.
What is equation?An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.
Here,
According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:
Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports
Total students who participate in sports = 6 + 3
Total students who participate in sports = 9
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A set of 7 books takes up 17 1/2 inches on a shelf. What is the average thickness of
each book?
Answer: 2.5 inches
Step-by-step explanation: 17 1/2 divided by 7
how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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I WILL MARK YOU AS BRAINLIEST IF YOU ARE CORRECT! THIS QUESTION IS SUPER EASY! Look at the image below.
Answer:
the answer you are looking for is B
Answer:
A
Step-by-step explanation:
Its A.....unless im super dum lol
Which sequence shows the numbers in order from least to greatest?
A. 7 5/6, √132, |-5 x 10^2|
B. |-5 x 10^2|, √132, 7 5/6
C. |-5 x 10^2|, 7 5/6, √132
D. √132, 7 5/6, |-5 x 10^2|
A. is the answer did you need an explanation
The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?
Answer:
you didn't post a picture :/
Pierre Hugo is handling the estate of a prominent businesswoman. The will states that the surviving spouse is to receive 1/3 of the estate and the remaining 2/3 of the estate will be divided equally among 3 surviving children. What fraction of the estate does each child receive?
Each child will receive 0.125 (or 12.5%) of the estate.
If the surviving spouse gets one half of the estate, the other half has to be divided among the four surviving children.
What is the fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
So it's 0,5 divided among the 4 surviving children.
That is 0.125 or 12.5% of the estate.
Each child will receive 0.125 of the estate. a
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Find an equation of the line that passes through the point
(x, y) = (3, 1) and is
perpendicular to the line
2x + 3y = 12
Considering the definition of perpendicular line, the equation of the perpendicular line that passes through the point (x, y) = (3, 1) and is perpendicular to the line 2x + 3y = 12 is y= 3/2x -7/2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseIn this case, the line is 2x+3y= 12. Expressed in the form y = mx + b, you get:
3y= 12 - 2x
y= (-2x +12)÷ 3
y= -2/3x +4
Since multiplying the slopes of two perpendicular lines, you get -1, and the line has a slope of -2/3, you get:
-2/3× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-2/3)
slope perpendicular line= 3/2
The line passes through the point (3, 1). Replacing in the expression for parallel line:
1= 3/2× (3) + b
1= 9/2 + b
1- 9/2 = b
-7/2= b
Finally, the equation of of perpendicular line is y= 3/2x -7/2.
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2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
x + y = 0
3x – 2y = 10
(3,2)
b. (2,-2)
(-2, 2)
d. (-2,-2)
a.
C.
timotor the nrice of a inh, in dollars, using the expression 60+
Answer:
b(2,-2)
Step-by-step explanation:
x= 2 and y=-2
let me know if you want further eplanation
In the past, Juana's father rode his bike 112 miles in 7 hours. Her mother rode the same distance in 8 hours. Juana plans to ride her bike 112 miles at a steady rate of 18 mph for y hours. Will she match her father's or mother's time? Use the equation 112 divided y = 18 to justify your answer
Juana can match her parents time as she has a larger speed than her parents.
How to calculate the time?From the information, Juana's father rode his bike 112 miles in 7 hours. The speed will be:.
= Distance / Time
= 112/7
= 16 miles per hour.
Her mother rode the same distance in 8 hours. The speed will be:
= Distance / Time
= 112 / 8
= 14 miles per hour.
Since Juana plans to ride her bike 112 miles at a steady rate of 18 mph for y hours. This shows that her speed is better
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Use the information in the table to find the indicated probability.
Number of Degree Recipients at a Local College
Degree Male Female
Associate's 224 387
Bachelor's 547 776
Advanced 245 322
Find P(the degree is a bachelor's)
The Probability for the recipient degree is a bachelor's is 896 / 2501.
What is the Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Number of Degree Recipients at a Local College
Degree Male Female
Associate's 224 387
Bachelor's 547 776
Advanced 245 322
Total Bachelor's degree recipients = 547+322 = 896
Total Recipients at local college = 224 + 387 + 547 + 776 + 245 + 322 = 2501
P(the degree is a bachelor's) = 896 / 2501
Thus, The Probability for the recipient degree is a bachelor's is 896 / 2501.
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4n+7-2 pls in really need help;-;
Answer:
4n + 5
Step-by-step explanation:
This equation cannot be simplified further
Unless you meant 4n + 7 = 2
Then the answer would be -1.25
Answer:
4n+5 hope this helps
Step-by-step explanation:
4n+7-2
4n+5
!!i’ll give brainlist!!
Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Simplify 12.856677878
Answer:
12.86
Step-by-step explanation:
this is rounded to the nearest hundredth
Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?
o
A. y= 2y + 3
B. 3(2x + 3) + 2y = 9
C. 3x + 2(2x + 3) = 9
o
D. 2x + 2y = 3
Answer:
C. 3x + 2(2x + 3) = 9
Step-by-step explanation:
We are given the following relation:
y = 2x + 3
And we want to substitute into:
3x + 2y = 9.
So
\(3x + 2(2x + 3) = 9\)
Which is given by option C.
Find an explicit description of Nul A by listing vectors that span the null space. 1 2 3 0 A = 0 0 1 0 A spanning set for Nul A is (Use a comma to separate answers as needed.)
An explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.
What is the explicit description of a null space matrix?
To find an explicit description of the null space of matrix A, we can find a spanning set of vectors that span the null space.
The null space of matrix A, denoted Nul A, is the set of all vectors x that satisfy the equation Ax = 0. In other words, the null space consists of all vectors that are mapped to the zero vector by the matrix A.
To find a spanning set for Nul A, we can use the following steps:
Row reduces the matrix A to a reduced row-echelon form using elementary row operations.
Identify the free variables in the row-reduced matrix.
For each free variable, create a vector with a 1 in the position corresponding to the free variable and 0's in all other positions.
The set of vectors created in step 3 form a spanning set for Nul A.
For example, consider the matrix A = [1, 2, 3, 0; 0, 0, 1, 0]. To find a spanning set for Nul A, we can row reduce the matrix to reduced row-echelon form:
[1, 2, 3, 0] -> [1, 2, 3, 0]
[0, 0, 1, 0] -> [0, 0, 1, 0]
The matrix is already in reduced row-echelon form, so there are no more elementary row operations to perform. The free variables in this matrix are the third and fourth columns, which correspond to the variables x3 and x4, respectively. Therefore, we can create the following vectors:
x3 = [0, 0, 1, 0]
x4 = [0, 0, 0, 1]
These vectors form a spanning set for Nul A, as they are linearly independent and span the null space.
Hence, an explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.
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Which of the following ordered pairs is a solution of 2x-y=-9?
(-4,1)
(-3,-4)
(4, -1)
(3,-4)
Answer:
(4,-1)
Step-by-step explanation:
translated 1 unit right and five units down
Answer:
y'=|x-5|-1
Step-by-step explanation:
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please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
Rewrite a denominator of 24. Help
Answer:
x / 24
x - numerator
24 - denominator
12 / 48 simplified gives 6 / 24 just in case.
Jeff is playing a racing game. The game awards him an initial $4,000 of virtual money. In addition, he gets $100 of virtual money for each race he wins. In the end, he calculates average earnings $200 of for each race he won. If x represents the number of races he won, which equation can be used to find the number of wins?
Answer:A
Step-by-step explanation:
Answer:
[4000+200x] /x=100 is your answer
Divide. Write your answer as a fraction or a mixed number in simplest form.
3 1
9- : 4
4 2
Answer:
2 4/25 hope that helped
Step-by-step explanation: