Solve the equation for the given variable
1/2 +y= 2/3
A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6
Answer:
y= (2/3)-(1/2)
= (4-3)/6
= 1/6
=> A
Step-by-step explanation:
Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?
Answer: 4 packages
Step-by-step explanation: the greatest common factor of 20 and 16 is 4.
Find the value of e.
Step-by-step explanation:
sum of three angles in a triangle is 180
55+35+x=180
90+x=180
x=180-90
x=90
4x+2=2(x+6)
HELP PLEASE
12
Hope it helps!!!!!!!
Answer:
x = 5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+2=2(x+6)
Step 1: Simplify both sides of the equation.
4x+2=2(x+6)
4x+2=(2)(x)+(2)(6)(Distribute)
4x+2=2x+12
Step 2: Subtract 2x from both sides.
4x+2−2x=2x+12−2x
2x+2=12
Step 3: Subtract 2 from both sides.
2x+2−2=12−2
2x=10
Step 4: Divide both sides by 2.
[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]
Result:
x = 5
Budgets
Terrance budgets $435 of his salary for car expenses. His salary is $2,900. What percent of his salary is
budgeted for car expenses?
Answer:
15%
Step-by-step explanation:
The graphs of these two equations intersect in how many points?
[tex]x^{2} +y ^ {2}=25[/tex]
[tex]x^{2} -y ^ {2}=3[/tex]
Answer:
They intersect 4 times.
Step-by-step explanation:
When graphed, the first equation is a circle with a center resting at (0,0)
The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)
Find an equivalent ratio in simplest terms: 4:60
Answer:
1:15
Step-by-step explanation:
4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)
The constant of proportionality (k) tells you how steep the graph of a proportional relationship is. TRUE or FALSE
A proportional relationship has a constant rate of change.
The given statement is true.
Step-by-step explanation:
A proportional relationship has a constant rate of change. We need to tell if this statement is true or false
A proportional relationship is given by equation:
where y is dependent variable while x is independent variable and k is constant of proportionality
The constant of proportionality is constant for all the values of y and x.
So, A proportional relationship has a constant rate of change.
The given statement is true.
The constant of proportionality (k) tells you how steep the graph of a proportional relationship is TRUE.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Let's consider a proportional relationship
y∝ x
y = kx
k = y/x
Now the value of y directly depends on upone k.
So, changing k will change the steepness of the line.
Hence "The constant of proportionality (k) tells you how steep the graph of a proportional relationship is TRUE".
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Sixty percent of those present at the performance were neophytes. If 200 present were not neophytes, how many people attended the performance?
Answer:
450
Step-by-step explanation:
I do mental math. I think this is right if not then I am sorry
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!
Answer:
(-5, 3)
Step-by-step explanation:
x = -5
-5x - 10y = -5
Subsitute for x = -5
-5(-5) - 10y = -5
25 - 10y = -5
subtract 25 from both sides
-10y = -30
divide both sides by -10
y = 3
what is the answer please
Answer:
Step-by-step explanation:
ΔABE ~ ΔACD
In similar triangles, corresponding sides are in same ratio.
[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]
Cross multiply,
2*(9+x) = 3*9
2*9 + 2*x = 27
18 + 2x = 27
2x = 27 - 18
2x = 9
x = 9/2
x = 4.5
Maria paid $2.85 for 3
pounds of apples. How
much did it cost for one
pound of apples?
Answer:
$0.95
Step-by-step explanation:
Since it cost $2.85 for 3 pounds of apples, dividing 2.85 by 3 will give us one pound of apples.
2.85/3 = $0.95
Hope this helps! Please comment if it does or not. :)
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
I know I already got the right answer so please give an explanation too!
Answer:
11
Step-by-step explanation:
to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11
=121, the answer is 11
Answer:
11 in.
Step-by-step explanation:
The canvas has the shape of a square.
The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.
You are given the area. You need to find the side.
The area is the square of the side, so the side is the square root of the area.
side = √area
side = √(121 in.²)
side = 11 in.
A population numbers 770 organisms initially and increases by 4.8% each year.
Suppose P represents population, and t the number of years of growth. Write an exponential
function to model the population size. Remember to use t as the variable.
P=
Answer:
............................................................
Find the value of y for the given value of t.
y = x + 5; x = 3
Answer:
y = 8
Step-by-step explanation:
y = x + 5
Next : Plug in 3 for x (because x = 3)
y = 3 + 5
y = 8
Hope this helps!
Which person has more potential energy? Noah who jumped out of the plane at 100 m or Clara at 50 m in the air? Explain.
Answer:
Noah
Step-by-step explanation:
Potential energy is the amount of energy that can be transfered to kinetic. This means that the higher person will have more potential energy.
a. Write the linear system as a matrix equation
in the form AX= B.
b. Solve the system using the inverse that is given for the coefficient matrix.
PLEASE HELP WILL GIVE A LOT OF POINTS!!
a) The linear system as a matrix equation in the form AX= B as
[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
b) The solution set is {x = 2, y = -4, z = -2}.
Given that A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex],
To find the matrix equation in the form AX = B, multiply both sides of the equation by A⁻¹:
A⁻¹(A⁻¹X) = A⁻¹B
X = A⁻¹B
Therefore, the linear system as a matrix equation in the form AX = B is:
[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
2. The given system of equations can be represented as:
A = [tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex]
X = [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]
B = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
Using the given inverse of A:
A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]
Multiply A⁻¹ by B to solve for X:
[tex]X = A^{(-1)} B[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex] [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
Performing the matrix multiplication:
| x | = | (-1)(0) + (1)(-2) + (1)(4)| | 2 |
| y | = | (-2)(0) + (3)(-2) + (2)(4)| | -4 |
| z | | (2)(0) + (-2)(-2) + (-1)(4)| | -2 |
Therefore, the solution set is {x = 2, y = -4, z = -2}.
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Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D
Answer:
Option D
Step-by-step explanation:
Given the inequality statement: 5 + 8x < 3(2x + 4):
We must solve for the solution of the given inequality statement.
First, distribute 3 into the parenthesis:
5 + 8x < 3(2x + 4)
5 + 8x < 6x + 12
Next, subtract 6x from both sides:
5 + 8x - 6x < 6x - 6x + 12
5 + 2x < 12
Then, subtract 5 from both sides:
5 - 5 + 2x < 12 - 5
2x < 7
Divide both sides by 2 to solve for x:
[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]
[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]
Since [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint. This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).
Therefore, the correct answer is Option D.
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. 12x = 7y - 10y
Answer and Step-by-step explanation:
This equation is linear because the slope is changing at a constant rate.
Write in standard form:
Standard form on an equation is written like so: Ax + By = C
First combine the y-values.
12x = -3y
Now add 3y to both sides of the equation.
12x + 3y = 0 <-- This is the answer (equation) in standard form.
#teamseas #PAW (Plant And Water)
I hope this helps!
The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to receive credit
The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is 4
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, = [tex]\dfrac{1}{3}[/tex]
Required:
To find the value of y
Solution:
The formula for the slope is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;
[tex]Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}[/tex]
3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12
[tex]y = \dfrac{12}{3} = 4[/tex]
The value of, y = 4
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Please help me with this question
Answer:
For every 3 dollars donated, one puppy is adopted
Step-by-step explanation:
so rise would be money, run would be number of puppies adopted
Weverton Cliffs is a hiking trail in Maryland. This trail is 3 inches long on a map that has a scale of 7 ½ inches = 15 miles.
If Sarah hikes Weverton Cliffs from beginning to end and returns along the same trail, what is the total distance she hikes?
A. 3 miles
B. 6 miles
C. 12 miles
D. 18 miles
Answer: Is 6
Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?
(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)
Answer:
– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9
Step-by-step explanation:
(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)
(18q5 – 17q3 + 9 – 15q6) +2q3 + q2 - 13q4
18q5 – 17q3 + 9 – 15q6 +2q3 + q2 - 13q4
18q5 - 15q3 – 15q6 + q2 - 13q4 + 9
– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9
In ΔJKL, k = 4.4 inches, l = 8.6 inches and ∠J=129°. Find the length of j, to the nearest 10th of an inch.
Answer:
Step-by-step explanation:
101 degrees
Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2
GIVING 10 POINTS, BRAINLIEST, FIVE STARS AND THANKS! (Please answer correctly:))
Alan deposited $300 into a savings account. At the end of the first year the amount of money in the account had increased to $336. At the end of the second year he had $420. Find the percent increase in the amount of money in his savings account from the end of the first year to the end of second year
Answer:
12%
Step-by-step explanation:
You subtract 336 from 300 which will give you 36, then you divide 36 by 300 and you will get .12 which is 12%
Sara has 26 books in her library. She bought several books at a yard sale
over the weekend. She now has 96 books in her library. How many books
did she buy at the yard sale ?
Answer:
96-26=70 books she bought at the yard sale
There are 70 students at a summer camp. A counselor divides the students into teams of 10. How many more teams would the counselor make if he divides the students into teams of 7?
Answer:
70/10 = 7
70/7 = 10
10-7 = 3
3 more groupsThere are 3 more teams would the counselor make if he divides the students into teams of 7.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
There are 70 students at a summer camp.
A counselor divides the students into teams of 10.
Let x be the total number of members in the final team:
For the first division = 70/10 = 7
= 70/7 = 10
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
x = 10 - 7 = 3
Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.
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Lucy bakes 135 gingerbread cookies and sells them in boxes of 6
how many full boxes will she have ?
how many cookies will she have left over ?
Answer:
22 boxes
5 cookies left
Step-by-step explanation:
135 / 6 = 22.5
Lucy will have 3 cookies left over that won't fit into any full boxes. To find how many full boxes Lucy will have, we can divide the total number of cookies (135) by the number of cookies in each box (6).
Number of full boxes = Total number of cookies / Number of cookies in each box
Number of full boxes = 135 cookies / 6 cookies per box
Number of full boxes = 22.5
Since Lucy cannot have a fraction of a box, she will have 22 full boxes of gingerbread cookies.
To find how many cookies she will have left over, we can find the remainder after dividing the total number of cookies by the number of cookies in each box.
Number of cookies left over = Total number of cookies % Number of cookies in each box
Number of cookies left over = 135 cookies % 6 cookies per box
Number of cookies left over = 3
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what is 1/5 divided by 69
Answer:
1/345 or 0.00289855 (for 1/5 / 69)
I feel like you're most likely talking about 69 / 1/5 which is 345
Try looking at the problem you are doing again :)
Answer:
0.00289855072
Step-by-step explanation:
1÷5 = 0.2
0.2 ÷ 69 = 0.00289855072
