Answer:
b = c(pq - a)
Step-by-step explanation:
All we need to do is isolate (solve for) the variable b
a + b/c = pq
Subtract a from both sides
b/c = pq - a
Multiply by c on both sides
b = c(pq - a)
Answer:
b = c(pq - a)
Step-by-step explanation:
-x^2 +9x-12 in vertex form
please help !!!
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this firm use the method of completing the square
Factor out - 1 from each term
y = - (x² - 9x + 12)[tex]\frac{33}{4}[/tex]
To complete the square
add/subtract (half the coefficient of the x- term )² to x² - 9x
y = - (x² + 2( - [tex]\frac{9}{2}[/tex])x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 12 )
= - ( (x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{33}{4}[/tex] )
y = - (x - [tex]\frac{9}{2}[/tex] )² + [tex]\frac{33}{4}[/tex] ← in vertex form
Question 10 of 11 Step 1 of 1
Correct
Thcorrect
One group (A) contains 390 people. Three fifths of the people in group A will be selected to win $100 fuel cards. There is another group (B) in a nearby town that will
receive the same number of fuel cards, but there are 553 people in that group. What will be the ratio of nonwinners in group Ato nonwinners in group B after the
selections are made? Express your ratio as a fraction or with a colon.
Answer
keypad
Restore Your Guth
2019 Hawkes Learning
Final answer:
To find the ratio of nonwinners in group A to nonwinners in group B, subtract the number of winners from the total number of people in each group. The ratio of nonwinners in group A to nonwinners in group B is therefore 156:319.
Explanation:
To find the ratio of nonwinners in group A to nonwinners in group B, we need to determine the number of winners in each group and subtract that from the total number of people in each group to find the nonwinners.
In group A, three-fifths of the 390 people will win fuel cards, which is equal to (3/5) * 390 = 234 people winning cards. So, the number of nonwinners in group A is 390 - 234 = 156.
In group B, the same number of fuel cards will be given out, but there are 553 people in that group. So, the number of nonwinners in group B is 553 - 234 = 319.
The ratio of nonwinners in group A to nonwinners in group B is therefore 156:319.
Find last year's salary if, after a 2% pay raise, this year's salary is $36,720.
You have $200 on a savings account and$100 in a checking account each week you add $50 to your savings account and $30 to your checking account Write an expression in simplest form that represents the total amount of money in both accounts after w weeks
Answer:
The expression is (80w+300)
Step-by-step explanation:
Let
y ----> the total amount of money in both accounts
s ----> the amount of money in saving account
c ----> the amount of money in checking account
w ----> the number of weeks
we know that
saving account
s=50w+200 -----> equation A
checking account
c=30w+100 ----> equation B
To find out the total amount of money in both accounts, sum equation A and equation B
y=s+c
substitute
y=(50w+200)+(30w+100)
y=(50w+30w)+(200+100)
y=80w+300
therefore
The expression is (80w+300)
PLEASE HELP. Use the Pythagorean Theorem
Question
Chi is planning to put a path of paving stones through her flower garden, as shown below. The flower garden is a square
with a side length of 10 feet. What will be the length of the path? Round your answer to 2 decimal places.
10
Provide your answer below:
feet
Answer:
14.14
Step-by-step explanation:
10[tex]10^{2} +10^{2} =x^{2}[/tex]
Simplifying gives you:
10\sqrt{2} ≈ 14.14213562...
The length of the path through Chi's flower garden is approximately 14.14 feet, rounded to two decimal places.
We have,
To find the length of the path through the flower garden, you can use the Pythagorean theorem since the path forms a right-angled triangle inside the square garden.
The garden is a square with a side length of 10 feet.
The path goes from one corner of the square to the opposite corner, forming the hypotenuse of a right-angled triangle.
The other two sides of the triangle are the sides of the square, which are also 10 feet each.
Using the Pythagorean theorem, you can find the length of the hypotenuse (the path):
[tex]c^2 = a^2 + b^2[/tex]
where c is the length of the hypotenuse (the path), and a and b are the lengths of the other two sides (which are both 10 feet in this case).
[tex]c^2 = 10^2 + 10^2[/tex]
c² = 100 + 100
c² = 200
Now, take the square root of both sides to find the length of the path (c):
c = √200 ≈ 14.14 feet
Thus,
The length of the path through Chi's flower garden is approximately 14.14 feet, rounded to two decimal places.
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Simplify these expressions.
a. 13xyz + 9 + 2xyz + 3
b. 6ab + (–2ab) + 4 + 6
Answer:
a. 13xyz + 9 + 2xyz + 3
13xyz+2xyz+ 9+3 ( combine like terms)
15xyz+12
b. 6ab + (–2ab) + 4 + 6
6ab-2ab+4+6
4ab+10
Answer:
a. 13xyz + 9 + 2xyz + 3
Combine the coefficents of the like monomials.
(13 + 2 = 15)
15xyz + 9 + 3
Add the constants (9 + 3 = 12).
Answer: 15xyz + 12
b. 6ab + (–2ab) + 4 + 6
Combine the coefficents of the like monomials.
[6 + (–2) = 4]
4ab + 4 + 6
Add the constants (4 + 6 = 10).
Answer: 4ab + 10
Step-by-step explanation:
straight from Penn
Can someone please help me with these questions thank you
2-51
“Plot triangle ABC with vertices A(0,0), B(3,4), and C(3,0) on graph paper. Using the origin as the point of dilation, enlarge it by 2 factors (Imagine using two rubber bands). Label this new triangle A’B’C’.
A) What are the side lengths of the original triangle, ABC?
B) What are the side lengths of the enlarged, A’B’C?
C) Calculate the area and the perimeter of A’B’C.
Answer:A) What are the side lengths of the original triangle, ABC?
B) What are the side lengths of the enlarged, A’B’C?
C) Calculate the area and the perimeter of A’B’C.
The required measure of the angle x and y is 45° and 109° respectively.
A triangle with two sides and two congruent angles is called an isosceles triangle.
Here,
A)
triangle is isosceles, so the two angles will be equal, and the sum of the angles in the triangle is 90°.
2x + x + x = 180
4x = 180
x = 180 / 4
x = 45
Similarly,
(B)
Some of the remote interior angles is equal to the remote exterior angle,
71 + (180 - 142) = y
y = 71 + 38
y = 109°
Thus, the required measure of the angle x and y is 45° and 109° respectively.
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Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether?
2 hours
1 1/3 hours
2 2/3 hours
5 1/3 hours
Answer: 1 1/3 hours
Step-by-step explanation:
3/4 hour = 45 minutes
7/12 hour =35 minutes
45 +35 = 80 minutes ÷ 60 minutes = 1 1/3 hours
Least common multiple for 8,12,and24
Answer:
Its 24
Step-by-step explanation:
Explain how you know -5 and 1/5 are multiplicative inverse? I’m very stuck on this and need to get this math done
Answer:
they are multiplicative inverses because to find the inverse of a number you change it from positive to negative or vice versa, and you have to change it to it's inverse. to do this you have to put it in fraction form if it isn't already (so 5 would be 5/1) and flip it (5/1 flipped would be 1/5)
Step-by-step explanation:
They are reciprocals, that is why they are multiplicative inverse.
What is Multiplicative inverse ?
If we have a number, then reciprocal of that number is called multiplicative inverse of the number.
Example : If m be a number then 1/m is its multiplicative number.
How to elaborate the problem ?Here the number be -5.
Reciprocal of this number is -1/5
We know that reciprocal of a number is called multiplicative inverse.
So, -5 & -1/5 are multiplicative inverse of each other.
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A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line
A) the sum of the residuals
B) the sum of the squared residuals
C) the sum of the absolute value of the residuals
D) the influence of outliers
E) the slope
Answer:
B) The sum of the squared residuals
Step-by-step explanation:
Least Square Regression Line is drawn through a bivariate data(Data in two variables) plotted on a graph to explain the relation between the explanatory variable(x) and the response variable(y).
Not all the points will lie on the Least Square Regression Line in all cases. Some points will be above line and some points will be below the line. The vertical distance between the points and the line is known as residual. Since, some points are above the line and some are below, the sum of residuals is always zero for a Least Square Regression Line.
Since, we want to minimize the overall error(residual) so that our line is as close to the points as possible, considering the sum of residuals wont be helpful as it will always be zero. So we square the residuals first and them sum them. This always gives a positive value. The Least Square Regression Line minimizes this sum of residuals and the result is a line of Best Fit for the bivariate data.
Therefore, option B gives the correct answer.
The only correct option that is minimized by the least squares regression line is;
Option B; the sum of the squared residuals.
We want to find the correct option that minimizes the line. Let's look at the options ;
Option A; This statement is not correct because If you do a summation of the residuals, you would get a value of 0.
Option B; Since error needs to be minimized so that the line is a close to the points as possible and as seen above that the sum of the residuals is zero. Then before we sum them, we need to first of all square the residuals which will always give a positive value. Thus, since the Least Square Regression Line minimizes the sum of residuals, then this option is correct.
Option C; This option is wrong because the sum of the absolute values of the residuals is not a method for in creation of least squares regression line
Option D; This option is wrong because the influence of outliers has nothing to do with the topic in question.
Option E; This option is wrong too because slope has nothing to do with the topic in question.
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If BD = 7x - 10, BC = 4x – 29, and CD = 5x – 9, find each value.
[tex]\bf \underset{\leftarrow \qquad \textit{\large 7x-10}\qquad \to }{\stackrel{4x-29}{\boxed{B}\rule[0.35em]{10em}{0.25pt}} C\stackrel{5x-9}{\rule[0.35em]{17em}{0.25pt}\boxed{D}}} \\\\\\ BD=BC+CD\implies 7x-10=(4x-29)+(5x-9) \\\\\\ 7x-10=9x-38\implies 7x+28=9x\implies 28=2x \\\\\\ \cfrac{28}{2}=x\implies 14=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{BC}{4(14)-29\implies 27}~\hfill \stackrel{CD}{5(14)-9\implies 61}~\hfill \stackrel{BD}{7(14)-10\implies 88}[/tex]
Which number line represents The solution set for the inequality -1/2x>4?
Answer:
the last one
Step-by-step explanation:
Answer:
Step-by-step explanation:
the last one
Clinton’s garden is 12.25 m long and 14 m
wide. Find the perimeter of Clinton’s garden.
Answer:
P = 52.5
Step-by-step explanation:
P = ( L + L ) + ( W + W )
P = ( 12.25 + 12.25 ) + ( 14 + 14 )
P = 24.5 + 28
P = 52.5
Hello!
because of the way Clinton's yard is measured, it must be a rectangle.
here is the equation to find the perimeter of a rectangle:
L2 + W2 = P
12.25 * 2 = 24.5
14 * 2 = 28
24.5 + 28 = 52.5
your answer is: The perimeter of Clinton's yard is 52.5 Meters
I hope this helps, and have a nice day!
Solve for j. -1j+1>2
Please help.
Answer:
I think the answer is j > 1
What is the ordered pair of C' after point C (1, 2) is rotated 90° clockwise?
A. C' (-1,2)
B. C (1, -2)
C. C (2,1)
D. C' (2, -1)
Answer:
D
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ), thus
C(1, 2 ) → C'(2, - 1 ) → D
The image after the rotation is C' (2, -1), the correct option is D.
What is the image after the rotation?Here we have the point (1, 2), and we have a rotation of 90° clockwise.
Notice that our point is on the first quadrant, then a rotation of 90° will leave us in the fourth quadrant.
The change that we will have is a permutation of the values, and the y-value must become negative, then the transformation gives:
(1, 2) ---> (2, -1)
The correct option is D.
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“which expression is the factored form of x^2-7x+10?”
I can't seem to figure out this problem -4q + 9 = 7q - 31
Answer:
q = 3.636363636 repeating
Step-by-step explanation:
- 4q + 9 = 7q - 31
+ 4q + 4q
9 = 11q - 31
+ 31 + 31
40 = 11q
[tex]\frac{40}{11} = \frac{11q}{11}[/tex]
Answer:
[tex]\large\boxed{q=\dfrac{40}{11}}[/tex]
Step-by-step explanation:
[tex]-4q+9=7q-31\qquad\text{subtract 9 from both sides}\\\\-4q+9-9=7q-31-9\\\\-4q=7q-40\qquad\text{subtract }\ 7q\ \text{from both sides}\\\\-4q-7q=7q-7q-40\\\\-11q=-40\qquad\text{divide both sides by -11}\\\\\dfrac{-11q}{-11}=\dfrac{-40}{-11}\\\\q=\dfrac{40}{11}[/tex]
Find the value of x in each case
Answer:
x=17
Step-by-step explanation:
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
In the triangle ABC
m∠A+m∠B+m∠C=180°
substitute the values and solve for m∠C
4x+49°+m∠C=180°
m∠C=180°-49°-4x
m∠C=131°-4x
In the triangle EDC
m∠E+m∠D+m∠C=180°
we have
m∠E=x
m∠D=100°
m∠C=131°-4x -----> by vertical angles
substitute the values
[tex]x+100\°+(131\°-4x)=180\°\\-3x+231\°=180\°\\3x=231\°-180\°\\3x=51\°\\x=17[/tex]
The value of x for the given geometric problem is determined to be 17 by using the concept that the sum of the internal angles of a triangle is equal to 180 degrees.
Explanation:We are looking to find the value of x where two triangles are involved.
First, according to the laws of geometry, the sum of the internal angles of a triangle must be equal to 180 degrees.
So, in triangle ABC, m∠A+m∠B+m∠C=180°.
If we have m∠A = 4x and m∠B = 49°, then by substituting these values, m∠C becomes 180° - (49° + 4x) i.e 131° - 4x.
In the triangle EDC, the summation m∠E + m∠D + m∠C also equals 180°.
If m∠E=x, m∠D=100°, and m∠C=131°-4x, we can form an equation of x + 100 + 131 - 4x = 180 which simplifies to 231 - 3x = 180. Solving this equation gives x = 17.
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i don’t understand how to find this. can anyone break it down for me .
Answer:
See below.
Step-by-step explanation:
There is an infinite number of values of x that make each answer true. The problem is asking "for which value" with value in the singular, so I thought it was asking to choose one answer from several, and only one was correct.
1a.
Any number between 8 and 9 is correct.
Examples: 8.1, 8.01, 8.2, 8.3, 8.4, 8.9, 8.95, etc.
As I wrote above, there is an infinite number of correct answers.
1b.
Examples: 8.91, 8.92, 8.93, 8.99, 8.905, 8.97, etc.
Answer:
Assuming that inequalities are a valid answer for this question:
1a. 8 < x < 9
1b. 8.9 < x < 9.1
Step-by-step explanation:
Really, there's no exact answer. For example, on 1a, it could be 8.1, 8.11, 8.2, 8.99999, etc. Inequalities are used to denote the fact that the x value can be anywhere between two values. In 1a, x is between 8 and 9, and in 2a, x is between 8.9 and 9.1.
Ten years ago,a father was five times as old as his son.their combined age now is 80.find the age of the son
Answer:
The son is now 20. The father is now 60
Step-by-step explanation:
The son was 10, ten years ago. Five times that was 50 years, the age of the father. Now they have both aged 10 years, and the son is 20 and the father is 60. Add them together, and it makes 80.
CAN EXPLAIN FURTHER
appreciate brainliest but it doesn't matter
Answer:
20 years old
Step-by-step explanation:
10 → Ten years ago
50 → The father was five times as old as his son.
Current Ages
20 → Son
60 → Father
[tex]20 + 60 = 80[/tex]
I am joyous to assist you anytime.
Adam is carrying books to the classroom for his teacher. Each book weighs 3.85 pounds. If he carries 4 books, about how many pounds is Adam carrying?
Adam is carrying a total of 15.4 pounds of books to the classroom, calculated by multiplying the weight of one book (3.85 pounds) by the number of books (4).
Explanation:The subject of this question is Mathematics, and it is appropriate for a middle school grade level. The student has asked about the total weight Adam is carrying when he transports four books to the classroom, with each book weighing 3.85 pounds.
To find the total weight of the books Adam is carrying, we multiply the weight of one book by the number of books:
Weight of one book = 3.85 pounds Number of books = 4 Total weight = Weight of one book imes Number of books Total weight = 3.85 pounds imes 4 Total weight = 15.4 pounds
Therefore, Adam is carrying approximately 15.4 pounds of books to the classroom.
what is the solution to the system of equations?
x+y=6
x=y+2
a. (4,2)
b. (3,3)
c. (2,4)
d. (6,4)
Answer:
a
Step-by-step explanation:
a. x=4, y=2
plug it in:
4+20=6 true
b. x=3, y=3
3+3=6
3=3+2
3=5 not equal
c. x=2,y=4
2+4=6
2=4+2
2=6 not true
d. x=6, y=4
6+4=6 not true
6=4+2
7x+18−6(x+1)−12 Please answer this you get 10 points!!!!
Answer:
x
Step-by-step explanation:
7x+18−6(x+1)−12
start out with distributive property
7x+18+(-6x)+(-6)+(-12)
then add the common things together
x+0
answer is just x, or infine answers, you could put in anything for x
x y
3 −2
6 3
9 8
12 13
Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of
y
x
?
A) yes;
5
3
B) yes;
3
5
C) yes;
1
3
D) The table does not represent a proportional relationship.
Answer:
A.Step-by-step explanation:
Yes, they have a proportional relationship.
The table shows sequences, where x-values increase +3, and y-values increase +5, that is, while x increases 3 unites, y increases 5 units, this ratio between variables can be described as the slope:
[tex]m=\frac{13-(-2)}{12-3} =\frac{15}{9}=\frac{5}{3}[/tex]
This fraction or ratio is referring to what we said in words, while y increases 5 units, x increases 3 units. We observe that is a positive ration, this means that magnitudes are both increasing.
Therefore, the right answer is the first one A.
Marissa is ordering from least to greatest. Here are her steps:
The correct answer is B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
53% of the 1000 students at Barnett High are girls. How many boys are there in the school?
33
47
470
530
Answer:
470
Step-by-step explanation:
1000 x 0.53 = 530
1000 - 530 = 470
Compare the integers -13 and 15
How to find the mean of the integers of -26, 39, -10, -16, 12, 31
Answer:
mean = 5
Step-by-step explanation:
"mean" is another term for "average"
to find the mean, you have to add all the integers up, and divide by the number of integers there are.
So you have to combine all the numbers together
-26 +39 -10 -16 +12 +31 = 30
Now you have to divide by 6, since there are 6 integers that you combined to get 30
30/6 = 5
the mean = 5
Hope this helps!
If you have any questions, feel free to ask :)
Oranges are on sale for $0.78 per pound. Bananas are on sale for $0.50 per pound. Debbie buys only oranges at the store this week. Is the total price she pays proportional to the pounds of oranges she purchased?
Answer: May you please have answer choices. Please forgive me if I am being rude but I am not.
Answer:
Yes, the total price is proportional to the pounds of oranges she purchased.
Step-by-step explanation:
The price of oranges is $0.78 per pound.
So, the price $0.78 corresponds to one pound, in a way, that is called direct proportionality.
This means that the price will increase or decrease in a constant ratio, depending on the amount of pounds purchased.
For example:
If she buys 1 pound of oranges she will pay $0.78. Ratio is 0.78 (0.78/1)
If she buys 2 pounds of oranges she will pay $1.56. Ratio is 0.78 (1.56/2)
If she buys 2.5 pounds of oranges she will pay $1.95. Ratio is 0.78 (1.95/2.5)
If she buys 3 pounds of oranges she will pay $2.34. Ratio is 0.78(2.34/3)
We can see that ratio is constant, then we can say that the total price she pays is proportional to the pounds of oranged purchased.