The expression that represents the given problem is [x = 4/(11/3)] and the value of x is 1.
What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.So, the expression to represent the given problem:
Let, the answer to problem 4/(11/3) be 'x'.Now, the expression will be:
x = 4/(11/3)Now, solve for 'x' as follows:
x = 4/(11/3)x = 4 × 3/11x = 12/11x = 1.09Rounding off: x = 1
Therefore, the expression that represents the given problem is [x = 4/(11/3)] and the value of x is 1.
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Vince has 19 cupcakes. He divides them evenly among 7 friends. How many cupcakes does
each friend get?
Answer:
Explain:
Pls help my teacher said to also turn it into a fraction something like that
Answer:
1
Step-by-step explanation:
You find a number that divides 7 to equal 19.
\(\tt \dfrac{19}{7}=2\dfrac{5}{7}\)
Add the following lengths: 4' 9" + 7" =
Answer:
Your answer to this question is 16
x2 +20=4
solve the problem
Answer:
-8
Step-by-step explanation:
2x= -16
x= (-16/2)
x= -8
A gardener planted a newly sprouted oak tree that was just 3.5 inches tall. The sapling grew 12 inches each year.
Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, x.
Answer:
y = 12x + 3.5--------------------------------------
Initial height is the y-intercept of the line.
Yearly growth rate is the slope.
So we have:
m = 12, b = 3.5.The equation of the line with these constants is:
y = mx + by = 12x + 3.5Does this graph represent a function? Why or why not?
Answer:
no it does not pass the vertical line test choose D
Step-by-step explanation:
25% of what number equals 10?
Answer:
40%
Step-by-step explanation:
mark branliest
Can anybody do this for me? Please hurry
What are the slope and y intercept of the equition y=-5x-3
Answer:
m=-5, b=-3
Step-by-step explanation:
y intercept is -3 and slope -5
If AB√48,BC=2√30 and AC2√18 then ABC is
Answer:
\(12\sqrt{2}\sqrt[4]{5}\)
or
\(25.38\)
Step-by-step explanation:
We are given:
\(AB = \sqrt{ 48}\\\\BC = 2\sqrt{30}\\\\AC = 2\sqrt{18}\\\\\)
Simplify each square root to the lowest radical:
\(\sqrt{ 48} = \sqrt{16 \cdot 3} = \sqrt{16}\cdot \sqrt{3} = 4 \sqrt{3}\\\\2\sqrt{30} = 2 \sqrt{3 \cdot 10} = 2 \sqrt{3} \sqrt{10}\\\\2\sqrt{18} = 2 \sqrt{9 \cdot 2 } = 2 \sqrt{9} \cdot \sqrt{2} = 2 \cdot 3\sqrt{2} = 6\sqrt{2}\\\\\)
Multiplying all three:
\(4 \sqrt{3} \times 2 \sqrt{3} \sqrt{10} \times 3\sqrt{2}\)
First multiply all terms not under square root:
4 x 2 x 6 = 48
Then multiply all the radicals which are the same:
\(\sqrt{3} \times \sqrt{3}{\sqrt{10} \times \sqrt{2}\)
\(\sqrt{10} = \sqrt{2}\sqrt{5}\)
This works out to
\(\sqrt{3}{\sqrt{3}\sqrt{2}\sqrt{5}\sqrt{2}\)
Rearranging the radicals
\(\sqrt{3}\sqrt{3}\sqrt{2}{\sqrt{2}\sqrt{5} = (\sqrt{3})^2 \cdot (\sqrt{2})^2 \cdot \sqrt{5}\\\\= 3 \cdot 2 \cdot \sqrt{5}\\\\= 6 \sqrt{5}\\\\\)
Multiplying by 48, the value we got by multiplication of the terms not under square root we get this value as:
\(48 \times 6\sqrt{5}\)
\(= 288\sqrt{5}\)
= 643.98757
This is equal to \(AB \cdot BC \cdot AC = A^2B^2C^2 = (ABC)^2\)
\(ABC = \sqrt{288\sqrt{5}} \\\\\sqrt{288} = \sqrt{144 \cdot 2} = 12 \sqrt{2}\)
\(\sqrt{\sqrt{5}} = \sqrt[4]{5}\)
ABC = \(12\sqrt{2}\sqrt[4]{5}\)
In decimal this would be
\(\sqrt{643.98757} = 25.37691 \approx 25.38\)
a sample survey interviews an srs of 209 college women. suppose that 69% of all college women have been on a diet within the last 12 months. what is the probability that 72% or more of the women in the sample have been on a diet? report your answer using 4 decimal places.
The probability that 72% or more of the women in the sample have been on a diet is, 0.1736.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
As given a sample survey interviews an SRS of 209 college women. suppose that 69% of all college women have been on a diet within the last 12 months.
p = 0.69
1 - p = 0.31
n = 209
μp = p = 0.69
σp = √(p(1-p))/n = √(0.69*0.31)/209 = 0.03199
= 1 - p(p < 0.72)
= 1 - p((p - μp) / σp < (0.72 - 0.69) / 0.03199)
= 1 - p(z < 0.94)
= 1 - 0.8264
= 0.1736
Hence, the probability is 0.1736.
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On a coordinate plane, triangle L M N has points (2, 1), (1, 1), (1, 3). Triangle L prime M prime N prime has points (negative 4, negative 4), (negative 3, negative 4), (negative 3, negative 2). Which sequence of transformations produces TriangleL'M'N' from TriangleLMN? a translation 5 units down and 2 units to the right followed by a reflection across the y-axis a reflection across the y-axis followed by a translation 5 units down and 2 units right a translation 5 units down and 2 units to the left followed by a reflection across the y-axis no sequence of transformations
Answer:
(A)a translation 5 units down and 2 units to the right followed by a reflection across the y-axis
Step-by-step explanation:
If a point is reflected across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.
Triangle LMN has points (2, 1), (1, 1), (1, 3).
Triangle L'M'N' has points (-4,-4), (-3,-4), (-3,-2).
From the given options:
Option A: A translation 5 units down and 2 units to the right followed by a reflection across the y-axis
Given the points: (2, 1), (1, 1), (1, 3) of Triangle LMN
A translation 5 units down(x,y-5): (2,-4), (1,-4), (1,-2)2 units to the right(x+2, y-5): (4, -4), (3, -4), (3, -2)Reflection across the y-axis: (-4,-4), (-3,-4), (-3,-2)Therefore, the sequence of transformation in Option A produces Triangle L'M'N'.
Answer:Which sequence of transformations produces
TriangleL'M'N' from TriangleLMN?
a reflection across the y-axis followed by a translation 5 units down and 2 units right
a translation 5 units down and 2 units to the left followed by a reflection across the y-axis
no sequence of transformations
the answer is ''A'' a translation 5 units down and 2 units to the right followed by a reflection across the y-axis.
Step-by-step explanation:
i took the quiz today.
It costs $3.50 for 5 pounds of bananas. If the price per pound stays the
same, how much would 4 pounds of
bananas cost?
Answer:
$14.00
Step-by-step explanation:
Here's why. So, if 5 pounds of bananas is $3.50 per pound. All you need to do is do 3.50 * 4 and you'll get your answer, which is $14.00 .
It's pretty easy. If you have a problem like this just multiple the price with the number that they provide you with. :D
i need help btw i am in middle school
Answer:
The answers to these questions would be :
1. 45
2. X=9
3.30
4.B
Step-by-step explanation:
Hope it was helpful , good luck ^.^
Which postulate could we use to prove that the angles
The angle postulate that best defined angles CAB and CAD is; Supplementary Angles
What is the Angle Postulate?We know that there are different angle postulates such as Corresponding angles, complementary angles, supplementary angles and others.
Now, in this case we want to find the angle theorem that best describes angles CAB and CAD. Now, from the given image, it is clear that both angles form a straight line and we know that the sum of angles on a straight line equals 180 degrees.
Since both angles sum up to 180 degrees and we know that these angles are defined as supplementary angles which are linear pairs.
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Please answer my first question
\(\textit{area of a rectangle}\\\\ A=bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=2x^2+5x+4\\ h=5x^3 \end{cases}\qquad \begin{array}{llll} \\\\\\ A~~ = ~~ \end{array} \begin{array}{cllll} 2x^2+5x+4\\\\ \times ~~ 5x^3\\\cline{1-1} 10x^5+25x^4+20x^3 \end{array}\)
what is 6+ 4 - 2 first to answer gets brainlist
Answer:
8
Step-by-step explanation:
Answer:8
Step-by-step explanation:
Graph the function. . y = -3x2 - 12x + 1
Answer:
I hope this helps!
I put in \(y= -3x^{2} -12x+1\)
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Solve 2x + 5 = 17
You may use the flowchart to help you if you wish.
Submit Answer
x 2
+ 5
17
uk
E
17
Answer:
X = 6
Step-by-step explanation:
17 - 5 = 12
12/2 = 6
hope this helps...
Answer:
6
Step-by-step explanation:
Find x
Try to get x by itself
2x + 5 = 17
subtract 5 on both sides
2×+5(-5)=17(-5)
by subtracting 5 from its opposite, it turns to 0
now we are left with
2x=12
Next we need to divide
2x is like 2(x) which is multiplication
the inverse is division
when we divide, whatever u do to one side u do to the other
2x/2=12/2
×=12/2
we finally got x by itself
we can break 12/2 even further by dividing and you'd get
×= 6
City received 3/4 inch of rain on July 31  This represents 3/10 of the total amount of rain this to received in July the equation 3/10r =3/4 can be used to find the amount of rain r in inches  The city received in July how much rain did the city receive in July ?
The amount of rain the city received in July is r = 2.5 inches
Given data ,
City received 3/4 inch of rain on July 31
Now , it represents 3/10 of the total amount of rain this to received in July
So , the equation is represented as A
Now , the value of A is
( 3/10 )r = 3/4
Multiply by 10 on both sides , we get
3r = 30/4
Divide by 3 on both sides , we get
r = 30/12
r = 2.5 inches
Hence , the city received 2.5 inches of rain
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please help............
Answer:
2x+14
Step-by-step explanation:
(3/4)x-7.3+(5/4)x+21.3
(3/4+5/4)x+21.3-7.3
2x+14
The expression -x^2 + 70x -600 represents a companys profit for selling x items. For which number of items sold is the companys profit equal to zero?
Answer:
Step-by-step explanation:
-x² + 70x - 600
If we multiply all by -1, we have
x² - 70x + 600
If we factorise this, we have
x² - 10x - 60x + 600
x(x - 10) - 60(x - 10)
(x - 10) (x - 60)
x = 10
x = 60
If the company sells 10, or 60 items, their profit is 0
Divide the following polynomial expression.
(n^4 +5n^3+9n^2) / 9n^3
Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared. (x +___)2 = ___
Answer:
(x + 4)2 = 19
4 and 19 is the answer.
Shelley is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Orlando was $210. Now the cost is $320. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
The percent increase is 56%
The percent increase if the airline charges an additional $50 baggage fee with the new ticket price is 76%
How to determine the percent increaseThe formula for determining percent increase is expressed as;
Percent increase = x₂ - x₁/x₁ × 100/ 1
Where;
x₁ is the initial valuex₂ is the final valueNow, substitute the values, we have;
Percent increase = $320 - $210/$210 × 100/ 1
Find the difference
Percent increase = $110/$210 × 100/ 1
Percent increase = 0. 52 × 100/ 1
Multiply through
Percent increase = 52%
If there is an increase of $50
Percent increase = $370-210/210 × 100/ 1
= 160/210 × 100/ 1
= 76%
Hence, the values are 52% and 76% respectively,
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3. A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.9c + 1.89r = 17.01 represents the relationship between the quantities in this situation. Show that each of the following equations is equivalent to. 0.9c + 1.89r = 17.01 Then, explain when it might be helpful to write the equation in these forms.
A. c = 18.9 - 2.1r
B. r = - 10/21 c + 9
Answer:
See belowStep-by-step explanation:
Given equation:
0.9c + 1.89r = 17.01Make c the subject:
0.9c = 17.01 - 1.89rDivide all terms by 0.9:
c = 17.01/0.9 - 1.89r / 0.9c = 18.9 - 2.1rNow make r the subject:
1.89r = 17.01 - 0.9cDivide all terms by 1.89:
r = 17.01/1.89 - 0.9c/1.89r = 9 - 1/2.1cr = 9 - 10/21cr = - 10/21c + 9Confirmed that both equations are equivalent with the initial one.
These are helpful when finding one of the variables if the value of another variable is given.
Answer:. r = - 10/21 c + 9
Step-by-step explanation:
Three hikers started climbing with each hiker carrying 7.8 kilograms of weight. A fourth hiker joined them and they divided the total weight of hiking equipment evenly. How much did each hiker have after the 4th person joined? (Round your answer to two decimal places)
Answer:
5.85 kilograms
Step-by-step explanation:
We are told that Three hikers started climbing with each hiker carrying 7.8 kilograms of weight.
Thus, total weight carried by them = 7.8 × 3 = 23.4 kilograms
Now a fourth person joined them and they divided the weight equally.
Thus, each hiker will now carry;
23.4/4 = 5.85 kilograms
f(x) = 3(0.5)* transformation?
Answer: Vertical stretch by a factor of 3.
Can anyone please help meee!!
Answer:
equilateral acute
Step-by-step explanation:
equilateral-- all the sides have the same length
acute-- all the angles are below 90 degree
Answer:
Step-by-step explanation:
You'r answer should be an equilateral acute.
In ΔEFG, m∠E = 63° and m∠F = 95°. Which statement about the sides of ΔEFG must be true?
The correct statements regarding the sides of the triangle are given as follows:
GE > FG > EF.
How to rank the side lengths?The side lengths of the triangle are ranked according to the rate established by the law of sines, which states that the ratio between the sine of the angles and the opposite side lengths for the triangle are equal, that is:
sin(a)/A = sin(b)/B = sin(c)/C.
The angles for this problem are given as follows:
E = 63º.F = 95º.G = 180 - (63 + 95) = 22º. (sum of the internal angles of a triangle is of 180º).The greater than the angles, the higher the value of the side, hence, to keep the ratios constant, we have that:
EG is the greater side -> opposite to angle F.EF < GF < EG -> GF is opposite to angle E.The last statement can also be written as follows:
GE > FG > EF.
Meaning that the third statement is correct.
Missing InformationThe statements are given by the image shown at the end of the answer.
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what is the measure of angle OAC
Answer:
60
Step-by-step explanation: