Select the correct answer.Solomon is planning to recover a lampshade. How much fabric does he need?12 cm16 cm12 cmA. 912 cm²B. 2,304 cm²C. 768 cm²D. 1;056 cm²
Answer:
C - 768cm for Plato
Step-by-step explanation:
The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 68 miles per hour, and the average speed of
the car ride was 64 miles per hour. The entire trip lasted 7 hours.
Let .x be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.
total distance (in miles)
Answer:
Total distance of trip = 4x + 448 miles
Step-by-step explanation:
Let x = number of hours train ride lasted
Total distance by train at an average speed of 68 mph for x hours
= 68x miles
If x hours was the train ride, then 7- x hours must be the car ride since the total trip took 7 hours
Total distance by car at average speed of 64 mph for (7-x) hours
= 64(7-x)
= 64 x 7 - 64x
= 448 - 64x miles
Total distance by both train and car = sum of the two distances
= 68x + 448 - 64x
= 4x + 448
Graph the equation.
y=4x^2+8x+7y=4x
2
+8x+7
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 4x² + 8x + 7
Now,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
Since, One solution of the equation y = 4x² + 8x + 7 is (0, 7).
So, The graph of the function y = 4x² + 8x + 7 cut at the point (0 , 7).
Therefore,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
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write 2/8 in lowest terms
Answer: 1/4
Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.
GCF: The greatest number that is a factor shared by both numbers. This number will evenly divide into both the numerator and denominator in this case.
Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.
Factors of Numerator (2): 1, 2
Factors of Denominator (8) : 1, 2, 4, 8
both the numerator and denominator have a factor of 2 which is the GCF1. Divide both numerator and denominator by GCF
2 ÷ 2 = 18 ÷ 2 = 4Therefore, the lowest term would be [tex]\frac{1}{4}[/tex]
Answer:
1/4
Step-by-step explanation:
We divide both of the numbers by the Greatest Common Factor (GCF) , which is 2.
2 ÷ 2 = 1
8 ÷ 2 = 4
The answer is 1/4.
Hope this helps!
Btw, could I get a Brainliest? Thanks!
Which function is the inverse of f(x) = 2x + 323ƒ^²^²(x) = -1/1/2ƒ^²(x) = 1/2 x - 1²/20Of¹(x) = -2x + 3Of(x)=2x+3
Given: A function F(x)=2x+3 is given.
Find: inverse of a function.
Explanation:
[tex]\begin{gathered} f(x)=2x+3 \\ y=2x+3 \\ x=2y+3 \\ y=\frac{x-3}{2} \\ f^{-1}(x)=\frac{x}{2}-\frac{3}{2} \end{gathered}[/tex]Final answer: the required inverse of f(x) is
[tex]\frac{x}{2}-\frac{3}{2}[/tex]Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
crenshaw schools.org bookmarks R Welcome
4-7: Practice Buddy: Independent Practice; Problem Solving
Due 10/21/22 11:39,
Caleb drew a picture of a building that is 4.4 inches tall. He thought it was too tall, so he multiplied its height by 0.5. The second drawing was too short, so he multiplied its height by 1.5. Predict whether
his last drawing was shorter, the same as, or taller than his first drawing Check the prediction by finding the height of the last drawing
CP
prediction by finding the height of the last drawing the same as,
0.5×1.5 =0.75
, the same as,
What is basic algebra ?Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.
Given that : Caleb drew a picture of a building that is 4.4 inches tall. He thought it was too tall, so he multiplied its height by 0.5. The second drawing was too short, so he multiplied its height by 1.5.
Caleb drew a picture of a building that is 4.4 inches tall.
he multiplied its height by 0.5.
4.4×0.5 =2.2
The second drawing was too short,
so he multiplied its height by 1.5.
0.5×1.5 =0.75
, the same as,
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The parking garage at the airport has 500 parking spaces. 36% of the spaces are empty. How many empty spaces are there in the parking garage?
Bryers ice cream costs $2 per gallon . Turkey Hill ice cream costs $ 3 per gallon .Tanya bought a total of 10 gallons of ice cream for a party and spent a total of $25 set up a system of equations to find out how much of each brand of ice cream Tanya bought. Do not solve the system
Let's define the following variables.
x = the number of gallons of Bryers ice cream Tanya bought
y = the number of gallons of Turkish Hill ice cream Tanya bought
2x = total cost for the Bryers ice cream
3y = total cost for the Turkish Hill ice cream
Since Tanya bought a total of 10 gallons of ice cream for the party, then we can say that:
[tex]x+y=10[/tex]In addition, if the total cost that Tanya spent is $25, then we can say that:
[tex]2x+3y=25[/tex]The equations that we can get from the given problem are x + y = 10 and 2x + 3y = 25.
Help me I’m stuck on this sole thing!!!
Pls help with the answer for the question given below
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix.
What is meant by augmented matrices?An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix. When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.
Therefore, the correct answer is option A.
[tex]$\left[\begin{array}{cccc}2 & -3 & 1 & -5 \\ 4 & -1 & -2 & -7 \\ -1 & 0 & 2 & -1\end{array}\right]$[/tex]
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It takes Neil and Spencer the same amount of time to ride their bikes to school each day, though Neil lives farther away. This Saturday, they plan to study together at the library, which is the same distance from both of their houses. If their average speeds are consistent, who will get to the library in less time?
Enter the value of n so that the expression -y+2+3y-6 is equivalent to ny-4 .Hint: When you simplify, n is the coefficient of y.
The most appropriate choice for linear equation will be given by -
By solving this equation, the value of n obtained is n = 2
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Linear equation is a very important tool in solving real life problem.
Here
The given equation is
-y+2+3y-6
Now,
-y + 2 + 3y - 6=ny - 4
2y - 4 = ny - 4
2y = ny
n = 2
Value of n = 2
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esitmate the value of y when x=2.5
Distribute the monomial to the polynomial:
Please help, I'll give brainliest if it includes the steps. Tysm :))
[tex](6xy^{2}+4x^{2}y+7xy+8)(\frac{2}{3} x^{3}y^{2} )[/tex]
The required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
According to the question,
[tex]=(6xy^2+4x^2y+7xy+8)(2/3x^3y^2)\\= 4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex]
Thus, the required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].
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What ms the answer plss
why is billy hungry?
Answer:
because he wont eat his veggies
Answer:mom didnt feed him
Step-by-step explanation:
The table represents the function f (x) = 5 x.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries blank, 0, 5, 10.
Which value goes in the empty cell?
–51
–5
5
51
Answer:
f(x) = -5 *Thank gabeross for answer *
Step-by-step explanation:
There is none
sophia, daphne, and charlie are all participating in a relay race to raise money for charity. first, sophia will run 2 miles. then, daphne will run 5 miles. finally, charlie will end the race by running 3 miles. what fraction of the race will daphne run?
The race will Daphne run by ratio 1/2.
What is relay race?
In a relay race, team members alternately complete different sections of the racecourse or carry out certain tasks. Both professional and amateur competitions are held in relay races. Running, orienteering, swimming, cross-country skiing, biathlon, and ice skating all frequently feature relay competitions.
As given Sophia, Daphne, and Charlie are all participating in a relay race to raise money for charity. First, Sophia will run 2 miles. then, Daphne will run 5 miles. finally, Charlie will end the race by running 3 miles.
The total distance of the race is, 2 + 5 + 3 = 10 miles.
So, Daphne will run the race by the ratio, [tex]\frac{5}{10} = \frac{1}{2}[/tex]
Therefore, the race will Daphne run by ratio 1/2.
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when playing a board game, the number of spaces you move is decided by picking a number out of a hat. is the number of spaces you move random?
Yes, the number of spaces you move random.
What is random?As the term suggests, random numbers are random numbers, or random. Randomly selected from a set of numbers. All numbers within a given distribution are equally likely to be randomly selected.Unpredictable. \A tendency within a certain range. The numbers on these two dice are random, but always between 2 and 12. Another example: values {2.18, 2.17, 2.23, 1.82, 1.87, 2.02, 1.83} are random, but all close to 2.with no particular plan, purpose, or pattern.Randomly composed, composed, or read randomly selected passages from the book. having or being an element or event associated with a random process and having a certain probability of occurrence.To learn more about random from the given link :
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6. Does the set of ordered
pairs represent a function?
Explain.
{(0, 5), (-2, -1), (0, -5), (3, 20)}
Answer: It does not represent a function.
What is a function?
An expression, rule, or law which relates an independent variable to the dependent variable.
Defining Characteristic: A function will only have a single input for a single output.
The input is the x-value and the output is the y-value. When looking at the data we see contradictionsFor the input 0, there are 2 outputs, 5 and -5
From above we learned that a function only has a single output for each input.Therefore, the set of ordered pairs does not represent a function.
Jessica bought 6 notebooks for school and spent $9.66. Let p represent the amount she paid per notebook.
Part A: Write an equation to represent this situation.
Part B: Solve your equation.
Part C: Explain your process for solving the equation.
Step-by-step explanation:
Jessica bought 6 notebooks for school and spent $9.66. Let p represent the amount she paid per notebook.
Part A: Write an equation to represent this situation.
let p = price per notebook
6p = 9.66
______________________________________________
Part B: Solve your equation.
6p = 9.66
divide both sides by 6:
6p/6 = 9.66/6
p = 1.61
______________________________________________
Part C: Explain your process for solving the equation.
Begin with formula in Part A.
divide both sides of the equation by 6.
because p equals the price per notebook, each notebook costs $1.61. (This does not take into account additional sales tax.)
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.
Insert a graph of the line with slope 3/4 through the point (-7,-5).
The function of the graph with slope 3/4 and passing through point ( - 7, - 5) is 4y = 3x + 1.
We have, the slope of the graph as m = 3/4, and the graph passes through the point ( - 7, - 5 ).
The equation of the slope-intercept form of a line is given as:
y = mx + b where m is the slope and b is the y-intercept.
When the graph passes through ( - 7. - 5).
y = mx + b
- 5 = ( 3/4 ) × ( - 7 ) + b
- 5 = - 21/4 + b
Adding 21/4 on each side of the equation,
- 21/4 + b + 21/4 = - 5 + 21/4
b = ( - 20 + 21 )/4
b = 1/4
Therefore, the equation of the line is:
y = ( 3/4 )x + 1/4
Multiplying each side of the equation by 4,
4y = 3x + 1
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If a 330 inch pipe is cut into two pieces. One piece is five times the length of the other what is the length of the shorter piece
Answer:
55 inches
Step-by-step explanation:
x + 5x = 330
6x = 330
330/6 = 55
On mark's last test, the ratio of questions he answered correctly to questions he answered incorrectly was 12:7. if he answered 21 incorrectly, how many questions where on the test?
According to the ratio if he answered 36 questions correctly.
A ratio in mathematics shows how frequently one quantity occurs in another. For instance, if there were eight oranges and six lemons on a fruit plate, the ratio would be eight to six.
By dividing each number by the total of all the numbers' common factors, ratios can be reduced (much like fractions are).The fraction is said to be in its simplest form when the ratio's values are the smallest practicable integers.It is common to refer to the ratio's antecedents and consequent as A & B, respectively.We know that the given ratio is 12:7
let he answered x questions correctly and 21 question incorrectly
Therefore the ratio of correct answers to incorrect answers is given by
x : 21
Now 12:7 = x : 21
or, x = 36
Therefore he answered 36 questions correctly.
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jack is in a resturant there are 5 starters 8 main courses and some desserts on the menu
Using the Fundamental Counting Theorem, it is found that Jack could be correct, if there are 6 desserts as options in the menu.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, each thing independent of the other, the number of results is given according to the following equation:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In the context of this problem, the parameters are found as follows:
There are 5 starters, hence [tex]n_1 = 5[/tex].There are 8 main courses, hence [tex]n_2 = 8[/tex].There is an unknown number of desserts, hence [tex]n_3 = x[/tex]Jack says that there are 240 ways to choose the meal, hence N = 240.Hence we can solve for x as follows:
5(8)(x) = N
40x = 240
x = 240/40
x = 6.
x is a positive integer, meaning that Jack could be correct, if there are 6 desserts on the menu.
What is the missing information?The complete problem is given as follows:
"11)Jack is in a restaurant.
There are 5 starters, 8 main courses and some desserts on the menu.
Jack is going to choose one starter, one main course and one dessert.
He says there are 240 ways that he can choose his starter, his main course and his dessert.
Could Jack be correct?
You must show how you get your answer."
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Two friends, Sophia and Kaitlyn, live 54 miles apart. At 9 a.m., Sophia and Kaitlyn bike towards each other and meet somewhere along the route. Sophia bikes at 12.5 miles per hour and Kaitlyn bikes at 5.5 miles per hour. The table below shows the total distance traveled by the girls each hour. Kail At what time will the two girls meet? Time (hours): 1, 2 Distance (miles): 18, 36 A. 11 a.m B. 12 p.m. C. 1 p.m. D. 2 p.m.
Answer: B
Step-by-step explanation:
What are the missing angles
The missing angles are:
m∠1 = 62°
m∠2 = 48°
m∠3 = 86°
m∠4 = 46°
We know that vertical angles are always equal i.e.they are congruent angles.
So, m∠2 = 48°
Now, By Triangle Sum Theorem, the total of three interior angles of any triangle add up to 180°.
m∠1 + m∠2 + 70° = 180°
m∠1 + 48° + 70° = 180°
m∠1 = 180° - 118° = 62°
As m∠3 and 94° lie on a straight line, their sum would be 180°.
m∠3 = 180° - 94° = 86°
Again by Triangle Sum Theorem,
m∠3 + m∠4 + 48° = 180°
86° + m∠4 + 48° = 180°
m∠4 = 180° - 134°
m∠4 = 46°
Therefore, the missing angles are m∠1 = 62°, m∠2 = 48°, m∠3 = 86° and m∠4 = 46°.
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Hey, please help me graph them nowww please help
