Answer:
least common denominator for 2 and 5 is 10.
Simplify the equation 5(10 – y) – 4
Answer:
46−5y
Step-by-step explanation:
5(10−y)−4
Use the distributive property to multiply 5 by 10−y.
50−5y−4
Subtract 4 from 50 to get 46.
46−5y
Graph if needed:
Answer:
46 - 5y
Step-by-step explanation:
5(10-y)-4
50 - 5y - 4
= 46 - 5y
Evaluate the following expression using the values given.
Find 2x2 - 2z4 + y2 - x2 + z4 if x = -4, y = 3, and z = 2. (1 point)
Hello, I give brainliest. Do not answer questions just to get points or you will get reported. Your answer may be incorrect but it cant be completely off. I also give thanks as well as 5 star or 1-star rating if your answer was completely incorrect.
Answer:
The answer to the question is four.
Answer:
I think the answer might be 4.
. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.
a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him
The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.
After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.
However, Caesar, true to his word, had the pirates crucified on his own authority.
This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
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The lengths of the sides of a right triangle are three consecutive integers, right, and solve an equation to find the three integers
The only possible solution is x = 2. Therefore, the three consecutive integers that form the sides of the right triangle are 2, 3, and 4.
How to find side of triangle?Since they are consecutive integers, let's assume that the hypotenuse, which is the longest side of the right triangle, is x+2, as it is three units longer than the shortest side.
In a right triangle, the hypotenuse's square is equal to the sum of the squares of the other two sides, according to the Pythagorean theorem. We can thus write:
\((x+2)^2 = x^2 + (x+1)^2\)
Expanding the squares, we get:
\(x^2 + 4x + 4 = x^2 + x^2 + 2x + 1\)
Simplifying and rearranging terms, we get:
\(2x^2 - 2x - 3 = 0\)
We can solve this quadratic equation by using the quadratic formula:
x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a
where a = 2, b = -2, and c = -3.
Plugging in these values, we get:
x = (-(-2) ± \(\sqrt{((-2)^2 - 4(2)(-3)))\) / 2(2)
x = (2 ± \(\sqrt{(4 + 24))\) / 4
x = (2 ± \(\sqrt28}\) / 4
x = (2 ± \(2\sqrt{7}\)) / 4
x = 1/2 ± \(\sqrt{7}\)/2
The only option is x = 2, since x must be an integer. As a result, the numbers 2, 3, and 4 are the three consecutive integers that make up the sides of the right triangle.
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(25 POINTS IF YOU ANSWER.) The area of a rectangle is 168 square meters. If the length of the rectangle is 2m longer than its width, find the dimensions. Find the rectangles length.
Answer:
The width is 12 m and the length is 14 m
Step-by-step explanation:
Let w = width
l = w+2
A = l*w
168 = (w+2) * w
Distribute
168 = w^2 +2w
Subtract 168
0 = w^2 +2w -168
Factor
0 = (w-12)(w+14)
Using the zero product property
w-12 =0 w+14 =0
w=12 w=-14
Since we cannot have a negative width
w=12
l = w+2 = 12+2 = 14
Answer:
The length is 14 meters and the width is 12 meters
Step-by-step explanation:
14 times 12 = 168
14 - 12 = 2
The graph of a quadratic function with vertex (1,-2) is shown in the figure below.
Find the range and the domain.
The graph of a quadratic function with vertex (1,-2) has the range and the domain respectively, ( -∞, -2 ) and ( -∞, ∞)
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
The graph of a function,
whose vertex is (1, -2)
As it can be seen in the graph,
The given quadratic function has defined value for each value of x,
So, the domain of the given function is real numbers,
x ∈ ( -∞, ∞)
The maximum value of the function is -2
And minimum value of the function is -∞
The range of the function is ( -∞, -2 )
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Someone help with this equation
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $879.32. Use the table provided to determine the price of a home that can be purchased. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $154,267 c. $156,753 b. $154,810 d. $157,153
Answer:
b. $154,810
Step-by-step explanation:
You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.
TableThe given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.
p = (P/1000)×m
ApplicationThe table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...
1000p/m = P
1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810
You qualify for a loan of $154,810.
__
Additional comment
The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).
By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.
What is equation?A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.
To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.
According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.
Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:
Mortgage amount = monthly payment / mortgage payment per $1000
$879.32 mortgage amount / $5.68 per $1000
Loan amount = $154,810
As a result, the purchasing price of a house is $154,810.
As a result, the answer is (b) $154,810.
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Mary started a four days walk covering 3.7 miles and approaches her home after a 6.7 mile. how many miles will it take Mary to cover 6 days walk?
We need to find the ratio miles to days in order to see how many miles she will cover in 6 days. This ratio is equal to
\(\text{ratio}=\frac{3.7\text{ miles}}{4\text{ days}}=0.925\frac{miles}{\text{day}}\)that is, she walks 0.925 miles per day. Then, in 6 days, she will walk
\(6\text{days}\times0.925\frac{miles}{days}=5.5\text{ miles}\)that is, she will walk 5.5 miles in 6 days.
Find the measure of angle A
Pls help
Step-by-step explanation:
x+85+x+44+63=180(sum of angles of a triangle)
or,2x+192=180
or,2x=180-192
or,x=-12
Angle A=x+44
=-12+44
=32°
Give brainliest plse .
If 5 pizzas cost 60$, how much will 9 pizzas cost
Answer:
$108
Step-by-step explanation:
If 5 pizzas cost $60, then each pizza costs $12. 9 x 12 = 108.
Answer:
108
Step-by-step explanation:
if 5 pizzas cost 60,
each pizza cost 60/5= 12dollars
then, 9 pizzas cost 12 x 9 = 108dollars
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I just don’t understand how to do this problem
(A) Find the velocity and acceleration as functions of t.
Velocity, in meters per second at time t: _____
Acceleration, in meters per second, per second, at time t: _____
(B) Find the acceleration after 1 second.
Acceleration, in meters per second, per second, after 1 second: ____
(C) Find the acceleration at the instant when the velocity is 0.
Acceleration, in meters per second, per second: ____
Answer:
Below in bold.
Step-by-step explanation:
(A). s = (1/3)t^3 - 3t^2 + 9t + 7
To find the velocity at time t we find the derivative:
V = ds/dt = 3*1/3 t^2 - 3*2t + 9
V = t^2 - 6t + 9,
Acceleration is found by finding the derivative of the velocity:
A = 2t - 6.
(B). Acceleration after 1 second = 2(1) - 8
= -6 ms^-2.
(C). When V = 0
acceleration = 0 ms^-1.
a train leaved the station at 5=0 traveling at a constasnt speed the train travels 360 kilometer in 3 hours Write a function that relates the distance traveled d to the time t
The function is determined using speed and is found to be d = 120t.
What is speed?Speed is generally the change in distance per unit time. (rate of change of distance)
What is the formula of speed?To calculate speed, we will use speed = distance/time.
speed = 360/3
= 120km/hr
Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.
120 = d/t
Hence, d = 120t.
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Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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One third of a number Y
Answer:
⅓y
Step-by-step explanation:
\( \frac{1}{3} \times y \\ = \frac{1}{3} y\)
What shape is always classified as a rectangle?
Find the inverse matrix or type
"none".
Answer:
[-0.2 0.4]
[0.8 -0.6]
What is a square matrix
Answer:
A square matrix is a matrix with the same number of rows and columns.
Step-by-step explanation:
In mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order. Any two square matrices of the same order can be added and multiplied. Square matrices are often used to represent simple linear transformations, such as shearing or rotation.
Solve the problem below:
6315*41=
Show your work
The value of 6315 ×41 is 260391.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We have to find the product of 6315 times of forty one
6351
× 41
_______
6351
25404+
__________
260391
Hence, the value of 6315 ×41 is 260391.
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find the slopes of the line that goes thru the following points
Given:
Find-: Slope of the line.
Sol:
The slope of line is:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where,
\(\begin{gathered} (x_1,y_1)\text{ = First point} \\ \\ (x_2,y_2)=\text{ Second point} \end{gathered}\)Choose any point:
\(\begin{gathered} (x_1,y_1)=(-1,-4) \\ \\ (x_2,y_2)=(0,-1) \end{gathered}\)So, the slope of the line is:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{-1-(-4)}{0-(-1)} \\ \\ m=\frac{-1+4}{0+1} \\ \\ m=\frac{3}{1} \\ \\ m=3 \end{gathered}\)Slope of line is 3.
Find the ratio in simplest form.
30 minutes to 2 hours
1/4
15/1
1/15
Answer:
1/4
Step-by-step explanation:
1 hour = 60 minutes
2 hours = (2 x 60) minutes
= 120 minutes
Hence, ratio of 30 minutes : 2 hours
= 30 : 120
= 1 : 4
What is
5
21
expressed as a decimal ?
0.238095
O 0.238095
0.238095
0.238095
Answer:i think its 0.238095
Step-by-step explanation:
i could be wrong
I will mark you brainliest
Answer:
it is b and c
Step-by-step explanation:
a) You have a piece of string that is 36m long. find the areas of all the shapes you can make which have a perimeter of 36m. b) A piece of land has an area of 100m². How many meters of wire fencing is needed to enclose it?
a. The areas of the square is 81m² and for rectangle is 72m²
b. The perimeter of the square is 40m
What are the areas of all the shapes you can make which have a perimeter of 36m?a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.
For a square;
Perimeter of square = 4L
36 = 4L
L = 9m
The area of the square will be L² = 9² = 81m²
For a rectangle;
The perimeter of rectangle is;
P = 2(L + W)
We can assume that two numbers which will represent the length and width are;
L = 12m, W = 6m or L = 6m, W = 12m
A = 12 * 6 = 72m²
b.
The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;
Perimeter of square = 4L
Area of square = L² = 100m²
L = 10m
The perimeter of the wire is 4(10) = 40m
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easy! please help :( The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
Choosing which 2 books describes a pair of dependent events?
None of the chosen pairs will be dependent as nothing is specified.
What are dependent and independent events?Independent events are those events whose occurrence does not have any effect on the events that may occur or occurred.
Dependent events are those vents whose occurrence either depends on some other event or has an effect on occurring or occurred vents.
Given, The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
As not mentioned that what kind of book he chooses first or types of book.
Also which shelf he chooses first choosing the first book is independent
and choosing the second book is also independent so none of the chosen pair will be dependent.
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Frank’s grandfather collected animal fossils. Over his lifetime his grandfather had collected three billion, two hundred ninety-seven million, fourteen fossils. His grandmother also collected things, but she collected arrowheads. She had collected nine hundred seventeen million, three hundred seventeen thousand, eight hundred ninety-two arrowheads. What was the difference in the amounts they collected?
Frank’s grandfather collected
more items.
Answer:
The grandfather collected 2,379,682,122 more
Step-by-step explanation:
3,297,000,014 - 917,317,892 = 2,379,682,122
I need to know the x and y
Answer:
36^7/12=6 y/x
Step-by-step explanation:
im not sure for the rest of it
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
The Boys and Girl's Club is buying 15 adult
tickets and 85 children's tickets to the fair. Adult
tickets are $14 and children's tickets are $12.
How much did they spend in all?
Answer:
$1230
Step-by-step explanation:
Adult tickets cost = 15 * $14 = $210
The children tickets cost = 85 * $12 = $1020
Therefore, they spent $1020 + $210 = $1230