Firs we can convert the fraction 2 1/4 in a simple fraction so:
\(2\frac{1}{4}=\frac{8}{4}+\frac{1}{4}=\frac{9}{4}\)So now we can multiply the froction so:
\(\frac{4}{9}\cdot\frac{9}{4}=\frac{37}{37}=1\)So the answer is 1 whole
Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.
The result of 1/11 in the base 10 system is given as is 0.09.
How to solveTo visualize the long division of 1 ÷ 11 in a base ten system:
Set up the long division: 11 outside and 1.00 inside the division bracket.
Place the decimal point in the quotient above the dividend's decimal point.
Bring down the first digit (0) and divide 11 into 10; it goes 0 times.
Subtract the product (0) from 10, leaving 10.
Bring down the next digit (0) and divide 11 into 100; it goes 9 times.
Subtract 99 from 100, leaving a remainder of 1.
The result is 0.09.
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The expression 2 ( 3m + 6) is equivalent to ....
5m + 2
5m + 8
6m + 6
6m + 12
Help....
Answer:
2(3m + 6)= 2 × 3m + 2 × 6
= 6m + 12
1)
Find the value of x in
the triangle below:
17
A) 20.2
B) 18.7
C) 19.5
D) 21.1
E) 22.6
K
84⁰
65°
Mrs. Wilson
Mrs. Crane
Mr. Haynes
Ms. Lindstrom
Mr. Swasey
O Gina Wilson (All Things Algebra), 2014
The correct option is A) 20.2.
What is triangle sum?
The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.
Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:
Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:
K = 180 - A - B
= 180 - 84 - 65
= 31 degrees
Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:
sin(A)/x = sin(K)/17
Substitute the values we know into the equation and solve for x:
sin(84)/x = sin(31)/17
x = sin(84)*17/sin(31)
Using a calculator, we get:
x ≈ 20.2
Therefore, the value of x in the triangle is approximately 20.2.
So, the correct option is A) 20.2.
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The sum of the reciprocals of 2 consecutive intergers is 5/6. Find the numbers
hmmmm let's say our numbers are "a" and "b", but we know they're consecutive integer, therefore "b" is either a-1 or a+1, hmm let's use the latter
a = first integer
a+1 = second integer
we know their reciprocals add up to 5/6, so
\(\begin{cases} a\\ a+1 \end{cases}\qquad \stackrel{\textit{sum of their reciprocals}}{\cfrac{1}{a}+\cfrac{1}{a+1}}=\cfrac{5}{6}\)
let's use the LCD of (a)(a+1)(6) and multiply both sides by it, to do away with the denominators
\(6a(a+1)\left[ \cfrac{1}{a}+\cfrac{1}{a+1} \right]=6a(a+1)\left[ \cfrac{5}{6} \right] \\\\\\ 6(a+1)+6a = 5a(a+1)\implies 6a+6+6a=5a^2+5a \\\\\\ 12a+6=5a^2+5a\implies 0 = 5a^2-7a-6\implies 0 = (a-2)(5a+3) \\\\\\ \begin{cases} 2=a&\textit{\large \checkmark}\\ -\frac{3}{5}=a&\textit{not an integer} \end{cases}~\hfill \begin{cases} a &= 2\\ a+1 &= 3 \end{cases}\)
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
multiply (-18)(-13) its for usatestprep
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-18)(-13) Equation/Question
Step 2
(-18)(-13) Multiply
234
Answer
234
How tall is a pole if a 40 ft guy wire reaches from the top of that pole
to a point on the ground 19 ft from the bottom of the pole?
DONT IGNORE PLEASE!! What is the measure of angle c
A. 94°
B. 86°
C. 18°
D. 274°
Answer:
B
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180° , so
∠ c + 56° + 38° = 180°
∠ c + 94° = 180° ( subtract 94° from both sides )
∠ c = 86°
Solve
\((6+v)(5v+4)=0\)
Answer:
v = -6 v = -4/5
Step-by-step explanation:
(6+v) ( 5v+4) = 0
Using the zero product property
6+v =0 5v+4 =0
v = -6 5v = -4
v = -6 v = -4/5
Who can help me with this entire page?
Answer:
the longest ant was 0.550 cm
the shortest ant was 0.498 cm
Step-by-step explanation:
hope it helps
o
Addison is considering two sales jobs. She
estimates her total monthly sales will average $18,000. Which job should Addison take if she wants to earn more money each month? How much more will she earn?
A commission of 24% of her total
monthly sales.
Salary of $4,000 with a commission of 12.25% on her total monthly sales
over $14,500.
Answer: job 2 $ 108.75
Step-by-step explanation:
The total income after adding commission will be $5776.25.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.
Total income will be calculated as:-
Total income = 4000 + 12.25% of 14500
Total income = 4000 + 1776.25
Total income = $5776.25
Therefore, the total income after adding the commission will be $5776.25.
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Si el volumen de una caja de cartón de forma cúbica es de 216 dm³
The volume of the cardboard box is approximately 13197.402 cubic inches.
The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.
1 dm (cubic decimeter) is equivalent to 1 liter.
To convert dm³ to cubic inches, we can use the following conversion factors:
1 dm³ = 61.0237 cubic inches
Using this conversion factor, we can calculate the volume of the box in cubic inches:
The cube carton volume is 216 dm3 and the cube edge value is 6 dm.
The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.
To find the edge (side) value, you can solve for the volume formula as follows:
edge 3 = volume.
edge = ∛ volume,
Where ∛ is the cube root.
Applying this formula to the given problem gives edge = ∛(216 dm³).
Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.
Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³
= 13197.402 cubic inches
Question :- If the volume of a cubic cardboard box is 216 dm³
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Can someone help me
Which graph represents the solution set of the system of inequalities?
{y<−3x−2y≤x−2
Responses
A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair negative 1comma 1 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. A solid line passing through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. The region below the dashed line and below the solid line is shaded.
Image with alt text: A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair negative 1comma 1 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. A solid line passing through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. The region below the dashed line and below the solid line is shaded.,
A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair negative 2 comma 1 end ordered pair and begin ordered pair 0 comma negative 3 end ordered pair. A solid line passing through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. The region above the dashed line and above the solid line is shaded.
Image with alt text: A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair negative 2 comma 1 end ordered pair and begin ordered pair 0 comma negative 3 end ordered pair. A solid line passing through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. The region above the dashed line and above the solid line is shaded.,
The graph that represents the solution to the system of inequalities is given in the attachment below.
How to Determine the Graph to a System of Inequalities?To find the correct graph that represents the solution to the system of inequalities, determine which inequality represents each of the line that is plotted on the graph.
The first inequality, y < -3x - 2, has a slope of -3, a y-intercept of -2, and an inequality sign "<" which means the shaded part will be below the a dotted or dashed boundary line.
The second inequality, y ≤ x − 2, has a slope of 1, a y-intercept of -2, and an inequality sign "≤" which means the shaded region is below a solid boundary line.
The graph that represents the above stated features is the graph of the system of inequalities shown below.
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PLEASE HELP ME!!!! ASAP NOW PLEASE!! I WILL GIVE YOU BRAINLIST!
LM is translated 5 units right and 2 units down to L'M'. Which graph shows this translation?
Answer: I think C?
Step-by-step explanation:
can you help me please with these questions?
there is a triangle with side lengths of 6 cm, 8 cm, and 10 cm. select all of the sets of side lengths that are scaled copies of the original triangleA. 18 cm, 24 cm, and 30 cm.B. 9 cm, 12 cm, and 15 cm.C. 15 cm, 20 cm, and 25 cm.D. 10 cm, 18 cm, and 24 cm.
please
I will give brainliest answer
Answer:
It's 8 units to the left and 5 units up.
Step-by-step explanation:
You know this because the bottom right point of the triangle starts out at (6,-6) and ends up at (-2,-1), so the x value decreased by 8 and the y value increased by 5.
Answer:
A translation by 8 units to the left and 5 units up.
Step-by-step explanation:
A = (3,-4)
B = (5, -2)
C = (6,-6)
A' = (-5,1)
B' = (-3,3)
C' = (-2,-1)
(3,-4) --> (-5,1) = -8, +5
(5,-2) --> (-3,3) = -8, +5
(6,-6) --> (-2,-1) = -8, +5
Constant of -8 in x-values.
Constant of +5 in y-values.
8 left.
5 up.
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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Simplify the expression 4•3+4•x
Answer:
12+4x
Step-by-step explanation:
multiply 3 by 4 and get 12.
then you multiply 4 by x and get 4x.
You then end up with 12+4x or 4x+12
A box contains 1 3/4 Pasta how many ounces of pasta are in the box
Answer:
Step-by-step explanation:
is there more information to the question??
The quotient of w and 7 is less than 17.
Answer:
17 < w / 7 is my answer. I am not sure to correct.
Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah
Step-by-step explanation:
As my previous answer got deleted for being wrong (in which it was right), I will answer again.
The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.
This is proof that it is right, and that there are some corrupt admins on brainly.
How to get to this solution?
Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).
If we do so, we get 2a + 5 = 7.
Solving this equation, we get a = 1.
Better Corp. (BC) began operations on January 1, Year 1. During Year 1, BC experienced the following accounting events:
Acquired $7,000 cash from the issue of common stock.
Borrowed $12,000 cash from the State Bank.
Collected $47,000 cash as a result of providing services to customers.
Paid $30,000 for operating expenses.
Paid an $8,000 cash dividend to the stockholders.
Paid $20,000 cash to purchase land.
Answer:
That's Cool :v
PLEASE HELP ME look at the picture that’s the whole question also I have the other questions on my account
By the Vertical Angle Theorem,
\(\text{m}\angle 2 = \text{m}\angle 4 \\\)
Plug in and solve:
\(y+10=3y-24\\\\34=2y\\\\y=17\\\\\text{m}\angle 2 = (17+10)^{\circ} = 27^{\circ}\)
Answer:
17
Step-by-step explanation:
y + 10 = 3y - 24
y = 3y - 34
-2y = -34
y = 17
The answer choices in the picture are:
A. a reflection over the line x=6
B. a dilation with a scale factor of 6
C. a 180 degrees clockwise rotation about the origin
D. a 90 degree clockwise rotation about the origin
Answer:
A. A reflection over the line x = 6
Step-by-step explanation:
You can see in the picture if you follow the line every edge has the same
Number x=6
Pls help me I don’t understand this at all #10
The equation to predict the median age that men marry, M, for any year, t, in slope-intercept form is:
M = (1/8)t - 223.05
How to solveTo create an equation to predict the median age that men marry, M, for any year, t, we first need to identify the points given in the problem. We have two data points:
(t1, M1) = (1970, 23.2)
(t2, M2) = (1998, 26.7)
The slope-intercept form of a linear equation is given by:
M = mt + b
Where m is the slope and b is the y-intercept. Let's find the slope (m) first:
m = (M2 - M1) / (t2 - t1)
m = (26.7 - 23.2) / (1998 - 1970)
m = 3.5 / 28
m = 1/8
Now we have the slope, so let's find the y-intercept (b) using one of the data points. We will use the first data point (1970, 23.2):
23.2 = (1/8)(1970) + b
b = 23.2 - (1/8)(1970)
b = 23.2 - 246.25
b = -223.05
So, the equation to predict the median age that men marry, M, for any year, t, in slope-intercept form is:
M = (1/8)t - 223.05
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») You pick a card at random. 678 >) What is P(divisor of 40)?
50 Points! Multiple choice algebra question. Find the domain and range of the function whose graph is shown. Photo attached. Thank you!
Answer:
"B". Domain is all real numbers, and the Range is all positive real numbers
Step-by-step explanation:
It is important to recognize that this function is an exponential function, either by the graph (observe a horizontal asymptote on the x-axis, and increasing exponentially), or more importantly by the equation which is in exponential form \(y=a*b^x\) where "a" is a non-zero real number, and "b" is a positive real number not equal to 1.
Observe that for the given function, a=4 (a real number not equal to zero), and b=2 (a positive real number that is not 1).
The domain for all exponential functions is all real numbers, so this function's domain is all real numbers.
The Range for exponential functions depends on "a", where if "a" is a positive number the Range is positive numbers only, and if "a" is a negative number, the Range is negative numbers only.
Since "a" is positive, the Range is positive numbers only.
Writing the Domain in "set-builder notation" (since all of the choices are given using that notation), the Domain is "all real numbers" put into curly brackets, so {all real numbers}.
Writing the Range in "set-builder notation", recall that the Range is the outputs of the function, so the Range is "y values such that y is greater than zero". There is some shorthand used, where the phrase "such that" is symbolized using a short vertical line (common in set-builder notation), and the phrase "y is greater than zero" is shortened using inequality symbols "y>0". So, the Range is written as { y | y>0 }.
Further, the "Domain" and "Range" are abbreviated with "D" and "R" respectively.
Therefore, the final answer would be D = {all real numbers}; R = { y | y>0 }, which is answer "B"
which pairs are like terms in the expression (2/5) y + (1/5) x - 0.2y -6 + (-2)
Answer:
(2/5)y and -0.2y
-6 and -2
Step-by-step explanation:
"like terms" means having the exact same variable(s) with the exact same exponent.
constant factors in the term can be different.
remember that x⁰ = 1, and so, pure constants are "like terms" too, as they can be seen as constant factor times variable⁰.
What are 3 numbers that are in the fact family of the number 12
Draw a model to show 3/4 of 16.
Answer:
Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12
Step-by-step explanation:
Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12
Hope that helps!
2. (08.05A LC) A scatter plot is shown below: 15 13 12 11 10 9 8 7 6 5 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot? (5 points) O (4, 15) and (10,7) O (1,6) and (6, 0) O (0, 13) and (10, 11) O (0, 13) and (10,0)