The math club and the Latin club both ordered pizzas for their end-of-year banquets. After the banquets, the math club had 1 1/8 pizzas leftover and the Latin club had 2 3/8 pizzas leftover. Between the two clubs, how many total pizzas were leftover?
A. 1 1/8
B. 3 1/2
C. 1 1/4
D. 3 1/4
Answer: B. 3 1/2
Step-by-step explanation:
Hope this helps
Given parallelogram DEFG below, m∠FHG=58 ∘ . If m∠DHE=(−2x−4) ∘ , solve for x.
In the parallelogram DEFG, value of x is,
⇒ x = - 31
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
The parallelogram DEFG is shown,
And, m ∠FHG = 58° , m ∠DHE=(−2x−4)°
Now, By figure we get;
⇒ m ∠FHG = m ∠DHE
⇒ 58° = (- 2x - 4)°
⇒ 58 = - 2x - 4
⇒ 58 + 4 = - 2x
⇒ 62 = - 2x
⇒ x = - 31
Thus, In the parallelogram DEFG, value of x is,
⇒ x = - 31
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mathhthh. i need help
Can you still use the triangle sum Theorem even if a triangle is not in 180 degrees?
Hi!
You cannot.
This is because ALL triangles MUST have 180 degrees, so if it doesn't it's not even a triangle. Therefore you cannot use it because, well, it's not a triangle.
Answer:
The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°.
Step-by-step explanation:
Sean wants to spend (example) $100 on clothing and he wants to purchase
6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
Show the solution graphically.
Point (2, 4)
Answer:
Step-by-step explanation:
Let x be the number of pants and y be the number of shirts
x + y = 6
20x + 15y = 100
multiply the first equation by -20
-20x -20y = -120
20x + 15y = 100
subtract the equations
-5y = -20
y = 4
replace y in equation 1
x + 4 = 6
x = 2
An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.
Answer:
missing angle <60 and side lengths 5, 5\(\sqrt{3}\)
Step-by-step explanation:
we understand from the given information that the triangle in question is a special right triangle
and since this is a special triangle the side lengths follows :
the side length that sees <90 is represented by 2x
the side length that sees <60 is represented by x\(\sqrt{3}\)
and the side length that sees <30 is represented by x
2x = 10 so x = 5 and x\(\sqrt{3}\) = 5\(\sqrt{3}\)
Please help really quickly!
For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points)
Answer:
1
Step-by-step explanation:
It's asking for the coefficient of the variable, which is y.
y is the same as 1y in this problem, so the answer is 1.
Hope this helped <3
Mr. Rosenthal wants to store the salt in a container in the shape of a rectangular prism. The container should be the exact size to store all the salt without any extra room. What is one possible set of dimensions that he could use for the container? Give one combination of length, width, and height. Show or explain all your work.
Answer:
Step-by-step explanation:
9
Adamhadthechickenpoxandhadtostayinside even though he didn’t feel very bad at all. he decided to make a cake to surprise his mother. the recipe said he needed 4 deciliters of milk. how many liters of milk did he need?
Answer:
400 milliliters
Step-by-step explanation:
multiply 4 x 100
=400
help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
m-2n = 8
n = m - 2
The value of m in the system of equations is:
can somone pls help me asap
Answer: 10 + 10 + 5 + 5 + 20 + 20 + 25 + (25 - 10) = 110
Step-by-step explanation:
I think this is correct
Imee has captured many purple-footed bog frogs. She weighs each one and then counts the number of yellow spots on its back. This trend line is a fit for these data.
A. Parabolic
B. weak
C. strong
D. negative
Answer:
C. strong
Step-by-step explanation:
all the points are close to or on the set line of balance.
Answer:
Step-by-step explanation:
strong
Given that the discriminant of a quadratic equation is 0, determine the number of real solutions.
mailbox company produced decorative mailboxes. the company's average cost per unit is $19 when it produced 851 mailboxes. mailbox company has $10,069 in fixed costs. what is variable cost per unit?
The variable cost per unit for the Mailbox Company is $7.17.
How to calculate the variable cost per unitIn order to calculate the variable cost per unit for the Mailbox Company, we can use the following formula:
Variable cost per unit = (Total cost - Fixed cost) / Total units produce
To use this formula, we first need to calculate the total cost of producing 851 mailboxes.
We know that the average cost per unit is $19, so the total cost would be:
Total cost = Average cost per unit * Total units produced
Total cost = $19 * 851
Total cost = $16,169
Now that we know the total cost, we can use the formula to calculate the variable cost per unit:
Variable cost per unit = (Total cost - Fixed cost) / Total units produced
Variable cost per unit = ($16,169 - $10,069) / 851
Variable cost per unit = $6,100 / 851
Variable cost per unit = $7.17
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problem 4. if a is a skew symmetric n xn matrix such that n is an odd number, evaluate det(a).
The determinant of the transpose of A is equal to the determinant of A. And since the transpose of a skew-symmetric matrix is its negative, this implies that the determinant of A should also be equal to its negation. The only possible value that satisfies this condition is zero. Therefore, det(A) = 0 when "n" is an odd number.
We can use the property of skew-symmetric matrices, which states that the determinant of a skew-symmetric matrix of odd order is always 0. This means that for the given matrix A, which is skew-symmetric and of order n, where n is odd, det(A) = 0. In order to prove this property, we can use the fact that the determinant of a matrix is equal to the product of its eigenvalues. Since A is skew-symmetric, all its eigenvalues are imaginary and come in pairs of the form λ and -λ. Since n is odd, there is at least one eigenvalue that is equal to 0, and therefore det(A) = 0. The answer to problem 4 is that the determinant of the skew-symmetric n x n matrix A, where n is an odd number, is equal to 0.
When dealing with a skew-symmetric matrix "A" of odd order "n" (n x n matrix), the determinant of A is always zero.
In a skew-symmetric matrix, the elements below the main diagonal are the negation of the elements above the main diagonal, and the elements on the main diagonal are zero. Mathematically, this can be represented as A(i,j) = -A(j,i) for all i and j. Since "n" is an odd number, multiplying an odd number of negative pairs will result in a negative value for the determinant.
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What is the best estimate for the value of the expression?
(34/8-16/3)-14/9
Answer:
The best estimate is -2.64
Step-by-step explanation:
To get the estimate value we are rounding all values to the nearest hundredth
You use BOMDAS/PEMDAS to do this expression
(34/8 - 16/3) - 14/9
= 4.25 - 5.33 - 14/9
= 4.25 - 5.33 - 1.56
= -1.08 - 1.56
= -2.64
2. A stock has been declining in price at a steady pace of
2.59 per wee If the stock started at a price of 618.50) per)
share determine algebraically the number of weeks it will
take for the price to reach$11.00 Round your answer to the
nearest week.
If a stock has been declining in price at a steady pace of $ 2.59 per wee If the stock started at a price of $ 618.50 per share then the number of weeks it will take to reach $ 11.00 is 235 weeks.
The initial price of a stock is = $ 618.50
The rate of decline of the price of stock is = $ 2.59 per week.
Let after T weeks the price of stock will be $ 11.00.
The suitable equation for the condition will be:
618.50 - 2.59T = 11.00
2.59T = 618.50 - 11.00
2.59T = 607.50
T = 607.50/2.59
T = 234.56
So approximate to nearest week we get, T = 235 weeks.
Hence number of weeks it will take to reach $ 11.00 is 235 weeks.
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Please help! The answer should be equal to 12 cans, but I'm not sure how to get that answer. Heres my question :)
Diana wants to make several cans with a diameter of 6 inches and a height of 8 inches. She is going to cut the cans from a sheet of metal that has an area of 2,675 in2
Answer:
Step-by-step explanation:
im gonna try my best to explain and get an answer since this question is vague :D
to find the area of a cylinder (the shape of the can): A=2πrh+2πr2
since theres no stated radius you have to divide the diameter by 2 to solve.
so plug it in from the equation above
the cans she is trying to make will all have an area of 207.4 (rounded to nearest tenth/not rounded is 207.35)
207 x 12 = 2,484.
so diana can make 12 cans using 2,484 in out of the sheet of metal she is using.
hope this helps in someway.
əz 22. Suppose z= z(x, y) is implicitly determined by ln(x+y+z) = x+2y+3z. Then dy (z.y.a)=(-1,5,-3)
the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).
To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.
Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.
Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.
Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
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Find the length of the third side. If necessary, write in simplest radical form.
6
5
Answer:
Submit Answer
Answer:
\( \sqrt{11} \)
Step-by-step explanation:
c2=a2+b2
that's how
On a graph, what characteristic shape is shown by exponential growth?
a. T-shaped graph
c. J-shaped graph
b. S-shaped graph
d.
straight horizontal line
Please select the best answer from the choices provided
ΟΑ
OB
OC
OD
The characteristic shape shown by exponential growth is c. J-shaped graph.
What form does an exponential growth graph take ?An exponential growth graph takes the form of a curve that starts off slowly, but then rapidly increases as the value of the function becomes larger.
However, as the values get larger, the slope of the graph becomes steeper and steeper, causing the curve to take on a J-shape. The graph continues to increase at an increasing rate, with no limit to the possible values it can take on
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Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 of his collection and takes 27 cards to school to give his friends. How many
baseball cards remain in Ryan's collection?
Answer:
117
Step-by-step explanation:
216/3=72
216-72=144
144-26=117
Answer: 117
Step-by-step explanation:
First you do 216 divide by 3 to know how many cards he gave his brother. So 216/3 is equal to 72. Then you add 72 to 27 to know the total amount of cards he loses, which is 99. Now you do 216-99 to get 117.
117 baseball cards remain in Ryan's collection.
Please help me asap !
Answer:
by helping some one fast
help please
2x2 − 3x − 5 = 0
Answer:
x = 5/2, x = -1
Step-by-step explanation:
Answer:
\(x=\frac{5}{2}, x=-1\)
Step-by-step explanation:
Hi there!
We are given the following quadratic equation:
2x²-3x-5=0
And we want to solve it.
There are multiple ways to solve it, but we can solve this by factoring.
One way to factor an equation like this if the leading coefficient a (the coefficient in front of x²) is greater than one, is to multiply the coefficients a and c (the coefficient without any variable on it) together, find out which numbers multiply to ac and equal b (the coefficient in front of x (without any exponent)), and then factor the equation as (ax+n)(ax+m)=0, then solve for x, where m and n are the numbers that multiply to ac and equal b
To start, multiply 2 and -5 together (a is 2 and c is -5):
-10
Now find out which numbers multiply to -10 but equal -3 (-3 is b):
Those two numbers are -5 and 2
Now factor the equation like this:
(2x-5)(2x+2)=0
Now solve for x:
2x-5=0
Add 5 to both sides
2x=5
Divide both sides by 2
x=\(\frac{5}{2}\)
2x+2=0
Subtract 2 from both sides
2x=-2
Divide both sides by 2
x=-1
So the answers are \(x=\frac{5}{2}, x=-1\)
Hope this helps!
Find the function y whose derivative x is 0 dy is 7.x² +8.x-2 and y has a value of 1 when dx
The function y whose derivative is dy/dx = 7x² + 8x - 2 and has a value of 1 when x = 0 is y = (7/3)x³ + 4x² - 2x + 1.
To find the function y given its derivative and an initial condition, we can integrate the derivative with respect to x.
Given that dy/dx = 7x² + 8x - 2 and y(0) = 1, we can integrate the derivative to find y(x).
Integrating both sides of the equation with respect to x, we have:
∫ dy/dx dx = ∫ (7x² + 8x - 2) dx.
Integrating each term separately:
∫ dy/dx dx = ∫ 7x² dx + ∫ 8x dx - ∫ 2 dx.
Integrating the terms, we get:
y = (7/3)x³ + 4x² - 2x + C,
where C is the constant of integration.
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 into the equation to solve for C:
1 = (7/3)(0)³ + 4(0)² - 2(0) + C,
1 = C.
Therefore, the function y is:
y = (7/3)x³ + 4x² - 2x + 1.
Thus, the function y whose derivative is dy/dx = 7x² + 8x - 2 and has a value of 1 when x = 0 is y = (7/3)x³ + 4x² - 2x + 1.
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Brooklyn has a points card for a movie theater. She receives 35 rewards points just for signing up. She earns 14.5 points for each visit to the movie theater. She needs at least 45 points for a free movie ticket. Which inequality can be used to determine x x, the minimum number of visits Brooklyn needs to earn her first free movie ticket?
Answer:
35+14.5x≥45
Step-by-step explanation:
35+14.5x≥45
Which value of x is a solution to this equation?
2x^2 − 4x +16 = 0
x = 3
x=2
x = -2
Answer:
Solve the equation:
2x² − 4x + 16 = 0x² - 2x + 8 = 0x² - 2x + 1 + 7 = 0(x - 1)² + 7 = 0(x - 1)² = -7There is no solution as the square of the number can't be negative
----------------------------
Note if the equation was 2x² - 4x - 16 = 0, the solution would be:
2x² - 4x - 16 = 0x² - 2x - 8 = 0x² - 2x + 1 = 9(x - 1)² = 3²x - 1 = ± 3x = -2, x = 4In this case x = -2 is the correct choice
Answer:
x = -2
Step-by-step explanation:
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Henry opens a savings account that has a 4.5% annual interest
rate. After 18 months, he receives $75,000. How much did he invest?
Show all work
Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.
Here are the steps on how to calculate the amount Henry invested:
Convert the annual interest rate to a monthly rate.
\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)
Calculate the number of years.
\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)
Use the compound interest formula to calculate the amount Henry invested.
\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)
where:
FV is the future value ($75,000)
PV is the present value (unknown)
r is the interest rate (0.375%)
t is the number of years (1.5 years)
\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)
\$75,000 = PV * 1.0297
\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)
PV = \$72,831.68
Therefore, Henry invested \$72,831.68 in the savings account.
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Solve using quadratic formula.
\(4 {s}^{2} + 8s + 4 = 0\)