One way to determine the number is to multiply 2 and 9, this is because the resulting number will be divisible by them perfectly. Let's try:
[tex]2\cdot9=18[/tex]So our candidate is 18, we need to test if it's divisible by 2 and 9 perfectly:
[tex]\begin{gathered} \frac{18}{2}=9 \\ \frac{18}{9}=2 \end{gathered}[/tex]It is, therefore the number is 18.
The graph shows the four quadrants of the coordinate plane.
Point AAA is located at (-5, 7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis.
Complete the statement.
Point AAA has an xxx-coordinate that is
and a yyy-coordinate that is
, so the point is located
The x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
The coordinate point is:
(-5, 7)
As we know from the definition of the ordered double:
(x, y) represents the ordered double on the coordinate plane:
x = -5
y = 7
x < 0 and y > 0
The point is located on the Quadrant II
Thus, the x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.
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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.)
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
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.
Please help. This is due soon
Answer:
No, because a triangle will have to add up to 180 degrees. And if the two angles are already set for both triangles, there is only one answer that will make these triangles equal 180 degrees. So no there is no way possible.
Step-by-step explanation:
Kim Lu, a data entry clerk, earns $12.25 per hour. She worked 36 hours last week. She also worked 12
hours at a part-time job life guarding at $9.00 per hour. What was Kim's total straight-time pay for both
jobs?
Answer:
549
Step-by-step explanation:
Kim Lu, a data entry clerk, earns $12.25 per hour. She worked 36 hours last week. She also worked 12 hours at a part-time job life guarding at $9.00 per hour. What was Kim's total straight-time pay for both jobs?
12.25 * 36 = 441
12 * 9 = 108
441 + 108 = 549
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
please help cont figure it out
On a map, a road is 6 1/2
inches long. If the scale is 1/4
inch equals 1 mile, how many miles is the actual road?
Answer:
The answer is 26 miles
Step-by-step explanation:
Ever .25 of an inch is 1 mile to multiply 6 by 4 and you'll get 24 and add 2 miles for the .5 .
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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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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Help me I’m stuck on this sole thing!!!
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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Find the value of x that will solve the equation. 9x^2+25=0. Please show work.
Answer:
[tex]\sf x = + \dfrac{5}{3}i ; \ \dfrac{-5}{3}i[/tex]
Step-by-step explanation:
Solving the equation:9x² + 25 = 0
9x² = -25
[tex]\sf x^2= \dfrac{-25}{9}\\\\ i^2 = -1 \\\\x^2=\dfrac{25}{9}i^2\\\\x=\sqrt{\dfrac{25}{9}i^2}\\\\[/tex]
[tex]\sf x = \± \dfrac{5}{3}i[/tex]
Answer:
x = ±(5/3)i
Step-by-step explanation:
- Consider a general quadratic equation ax² + bx + c = 0
- Using the bulldozer method;
[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]
- Relating 9x² + 25 = 0
a is 9b is 0c is 25[tex]{ \tt{x = \frac{ - 0 \pm \sqrt{ {0}^{2} - (4 \times 9 \times 25)} }{(2 \times 9)} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 900} }{18} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 1 \times 900} }{18} }}[/tex]
- From complex numbers, -1 = i²
[tex]{ \tt{x = \frac{ \sqrt{ {i}^{2} \times 900} }{18} }} \\ \\ { \tt{x = \frac{30i}{18} }} \\ \\ { \tt{x = \pm \frac{5}{3}i }}[/tex]
Or:
[tex]{ \tt{9 {x}^{2} + 25 = 0 }} \\ { \tt{9 {x}^{2} = - 25}} \\ \\ { \tt{ \sqrt{x}^{2} = \sqrt{ - \frac{25}{9} } }} \\ \\ { \tt{x = \sqrt{ - 1} \times \frac{ \sqrt{25} }{ \sqrt{9} } }} \\ \\ { \tt{x = \sqrt{ {i}^{2} } \times \frac{5}{3} }} \\ \\ { \tt{x = \pm\frac{5}{3} i}}[/tex]
Solve 2x - 9 = -1
x=
Hey there!
[tex]2x-9=-1\\x=[/tex]
To solve, we need to add 9 to both sides of the equation:
[tex]2x-9+9=-1+9\\2x=8[/tex]
Now, we divide both sides by 2:
[tex]\frac{2x}{2} =\frac{8}{2} \\[/tex]
[tex]x=4[/tex]
Hope this helps!
Multiply.
0.004
X 0.9
The multiplication of these decimal 0.004X 0.9 is 0.0036
What are decimals?The decimal number system is a standard system for notating integers and non-integers. It is an extension of the Hindu-Arabic number system for non-integer numbers. The way to write numbers in the decimal system is often called decimal notation.
Decimals are numbers that consist of two parts, namely a whole number and a fraction separated by a decimal point. For example, 12.5 is a decimal number. The decimal system, also known in mathematics as the Hindu-Arabic numeral system or the Arabic numeral system.
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O Points: 0 of 1
A mural measures 135 feet long by 190 feet high. Find the ratio of the height to the perimeter of this mural.
***
The ratio of the height to the perimeter of this mural is equal to 19:65.
How to calculate the perimeter of a mural?Mathematically, the perimeter of a mural can be calculated by using this formula;
P = 2(L + W)
Where:
P represents the perimeter of a mural.L represents the length of a mural.W represents the width or height of a mural.Substituting the given parameters into the formula, we have;
Perimeter, P = 2(135 + 190)
Perimeter, P = 2(325)
Perimeter, P = 650 feet.
Now, we can determine the ratio of height to the perimeter as follows:
W:P = 190:650
W:P = 19:65
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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:
The bedroom floor is a 9-foot-by-12-foot rectangle. Carpeting is sold by the square yard. Carpeting costs $22 per square yard, How much will the carpet cost?
Answer: $2376
Step-by-step explanation:
First, get the area of the rectangle by using the formula L * W
9 * 12 = 108 feet squared
Now, that you have the area you can multiply that since each square yard is $22 so you do
108 * 22 = 2376
Which is $2376
Distribute the monomial to the polynomial:
Please help, I'll give brainliest if it includes the steps. Tysm :))
[tex](6xy^{2}+4x^{2}y+7xy+8)(\frac{2}{3} x^{3}y^{2} )[/tex]
The required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
According to the question,
[tex]=(6xy^2+4x^2y+7xy+8)(2/3x^3y^2)\\= 4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex]
Thus, the required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].
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is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.
Pls help with the answer for the question given below
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix.
What is meant by augmented matrices?An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix. When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.
Therefore, the correct answer is option A.
[tex]$\left[\begin{array}{cccc}2 & -3 & 1 & -5 \\ 4 & -1 & -2 & -7 \\ -1 & 0 & 2 & -1\end{array}\right]$[/tex]
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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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why is billy hungry?
Answer:
because he wont eat his veggies
Answer:mom didnt feed him
Step-by-step explanation:
Sarah said that 0.000 01 is bigger that 0.001 because the first number has more digits to the right of the decimals point is Sarah correct explain your thickin using negative powers of 10 and the number line
Answer:
No she is incorrect. 0.00001 is smaller than 0.001
!!SOMEONE HELP!!
Please give me the right answer. :(
The ratio between cups of beans and cups of rice is 10/13.
Given the recipe calls for 2 1/2 cup
covert it into proper fraction = 5/2 cups
also the recipe contains 3 1/4 cups of rice.
convert it into proper fraction = 13/4 cups.
now, 5/2 : 13/4
cross multiply.
20/26
simplify the expression.
10/13
Hence the ratio of beans to rice is 10/13.
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i need some help 4/5t+150
Answer:
2/5(2t+125)
Step-by-step explanation:
if factorization,then this is the ans
4/5t+150
2/5(2t+125)
Please help and leave an explanation. I am struggling with radicals and exponents.
The radical form of the given expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] is [tex]\sqrt[9]{3}[/tex]. So the option B is correct.
The given expression is [tex](3^\frac{2}{3})^\frac{1}{6}[/tex].
We have to express the given expression with a rational exponent as a radical expression.
As we can see that in the given expression have two power.
We firstly solve their power.
We using the Law of Power of a Power.
In this law, if any variable have a two power as [tex](a^m)^n[/tex] so their have multiplication relation between their power.
So [tex](a^m)^n=a^{mn}[/tex]
Now we solving the given expression using that rule.
The expression is [tex](3^\frac{2}{3})^\frac{1}{6}[/tex].
Simplifying the power first.
[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{3}\times\frac{1}{6}}[/tex]
Now simplifying
[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{18}}[/tex]
[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{1}{9}[/tex]
Since the power is [tex]\frac{1}{9}[/tex] which means variable [tex]3[/tex] have in radical.
Now expressing the simplified variable in the form of radical and the power of radical should be [tex]9[/tex].
[tex](3^\frac{2}{3})^\frac{1}{6}=\sqrt[9]{3}[/tex]
Hence, the radical form of the given expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] is [tex]\sqrt[9]{3}[/tex]. So the option B is correct.
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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!
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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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
