Evaluate the expression 6 + 4 x {3+7}.
Answers
Answer:
46
Step-by-step explanation:
6 + 4 x {3+7} [B.O.D.M.A.S rule] (First bracket)
= 6 + 4 × 10. (Then Multiplication)
= 6 + 40. ( At last addition)
= 46 (Ans)
The simplified value of the expression 6 + 4 × {3 + 7} is 100.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, An expression 6 + 4 × {3 + 7}.
First, we'll add 6 and 4 as 3 and 7 are inside curly brackets,
not in parentheses.
Therefore,
6 + 4 × {3 + 7}.
= 10 × {3 + 7}.
Now, we can either distribute the terms or take the addition and multiply.
= 10 × 10.
= 100.
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Related Questions
How do you solve a difference quotient example?
Answers
main answer:The difference quotient formula is used to define the derivative of a function.
supporting answer:
what is difference quotient ?
The difference quotient formula is used to define the derivative of a function. A function's derivative is obtained by applying the limit as the variable h approaches zero to the difference quotient of a function.
body of the answer:
let us take an example for understand better
Use the difference quotient formula for f(x) = x – 3.
D = [ f(x + h) – f(x) ] / h
= [ (x + h) – 3 – (x – 3) ] / h
= [ x + h – 3 – x + 3 ] / h
= h/ h
= 1
final answer:The difference quotient formula is used to define the derivative of a function.
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The difference quotient formula is used to define the derivative of a function.
What is the difference quotient?
The difference quotient formula is used to define the derivative of a function. A function's derivative is obtained by applying the limit as the variable h approaches zero to the difference quotient of a function.
Let us take an example to understand better
Use the difference quotient formula for f(x) = x – 3.
D = [ f(x + h) – f(x) ] / h
= [ (x + h) – 3 – (x – 3) ] / h
= [ x + h – 3 – x + 3 ] / h
= h/ h
= 1
The difference quotient formula is used to define the derivative of a function.
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Please help!!!!!!!!!
Answers
Answer:
hopes it's helps
Step-by-step explanation:
I got 20 blocks for my answer
Answer:
20 blocks from the bottom
Step-by-step explanation:
red - 3. 6. 9. 12. 18. 21. 24. 27.
green - 5. 10. 20. 25.
yellow - 15. 30.
the 20th block is the third painted green block from the bottom
Which congruence postulate could prove TriangleAEM = TriangleDEN
Answers
Triangle AEM is congruent to triangle DEN by SAS congruence criterion.
What do you mean by congruence of triangle?
Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. If moved, they coincide with one other. The sign of congruence is’ ≅’. After proving triangles congruent, the remaining dimension can be predicted without actually measuring the sides and angles of a triangle.
In triangle AEM and triangle DEN
AE = DE (Given)
ME = NE (As In triangle MEN , angle M = angle N and sides opposite to equal angles are equal)
angle MEA = angle NED (Vertically opposite angles)
Triangle AEM ≅ Triangle DEN (By SAS congruence criterion)
Therefore, both the trinagles are congruent by SAS congruence criterion.
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#3 come up with a word problem of your own and share it with the the group what reasonable values could you expect for the answer? What value would not be acceptable?
Answers
Consider the following word problem:
"The sum of a number and 5 is 7 less than its double".
To solve the word problem, let n be the number.
\(\begin{gathered} \text{Therefore, the sum of the number and 5 is given by:} \\ n+5 \end{gathered}\)\(\begin{gathered} \text{ double the number is given by:} \\ 2n \end{gathered}\)\(\begin{gathered} \text{Therefore, the sum of the number and 5 is given by:} \\ n+5=2n-7 \end{gathered}\)Hence, the solution is given by:
\(\begin{gathered} 5+7=2n-n \\ n=12 \end{gathered}\)Therefore, the required word problem is: "The sum of a number and 5 is 7 less than its double" ; the acceptable answer to the word problem is 12 and any number that is not 12 will not be acceptable.
.
.
What are the labor supply and demand curves
Answers
The intersection of the labor supply and demand curves determines the equilibrium wage rate and quantity of labor.
The labor supply and demand curves are used to analyze the market of labor, where the demand is the amount of labor that employers are willing to hire at a given wage, and the supply is the amount of labor that individuals are willing to supply at a given wage. The labor supply curve is upward sloping and shows the quantity of labor supplied at different wages. Mathematically, this is represented as the equation: Qs = a + bw, where Qs is the quantity of labor supplied, a is a constant, b is the elasticity of labor supply, and w is the wage. The labor demand curve is downward sloping and shows the quantity of labor demanded at different wages. Mathematically, this is represented as the equation: Qd = c – dw, where Qd is the quantity of labor demanded, c is a constant, d is the elasticity of labor demand, and w is the wage. The intersection of the labor supply and demand curves determines the equilibrium wage rate and quantity of labor.
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Find the solution to the following system of equations
using the comparison method.
y = 8x
y = 10x - 6
Answers
Answer:
The solution of the system of equation is x = 3, and y = 24
Step-by-step explanation:
The given system of equations are;
y = 8·x...(1)
y = 10·x -6...(2)
Solving the above system of linear equations using the comparison method, we first make one of the variables the subject of both equations
However, the given already have 'y' as subject, therefore, by comparison, we have;
y = y...(3)
8·x = 10·x - 6...(4)
From equation (4) given in the variable 'x', above, we have;
8·x = 10·x - 6
8·x - 8·x + 6 = 10·x - 6 + 6 - 8·x (the underlined items become zero)
∴ 6 = 10·x - 8·x = 2·x
6 = 2·x
∴ 2·x = 6
x = 6/2 = 3
x = 3
From equation (2), y = 8·x, we get;
y = 8·x
x = 3
∴ y = 8 × 3 = 24
y = 24
The values of 'x' and 'y' in the given system of equation is x = 3, y = 24.
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
Answers
Answer: B
Step-by-step explanation:
On a coordinate plane, a triangle is shifted up is the area that shows only a vertical translation from the shaded figure onto the unshaded figure (Image attached).
What is Vertical translation?Vertical translation is known to be a term that connote the up or down movement that takes place in a graph of a function.
It is also called the movement or the shifting of the graph amidst the y-axis. Note that in vertical translation, all the point on the graph often moves k units vertically.
See full question below
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
On a coordinate plane, a triangle is shifted up.
On a coordinate plane, a triangle is shifted to the left.
On a coordinate plane, a triangle is enlarged to form another triangle.
On a coordinate plane, a triangle is shifted up and to the left.
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I need help pleaseee asap
Answers
Answer:
5/2 or c
Step-by-step explanation:is correct trust me
i am a gamergirl
you
need
To
Trust
Me
please
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (0, 1) ← 2 ordered pairs from the table
m = \(\frac{1+5}{0+2}\) = \(\frac{6}{2}\) = 3 → B
Solve for x in simplest form. 10=3/7(4x+35)
Answers
Answer:
x=−
12
35
=−2.917
Step-by-step explanation:
Copy and complete the table below for the graph of
y = 2x + 1.
What values should replace A and B?
X
Y
-1
-1
-
0
A
1
3
23
B
3
7
Answers
Answer:
A is 1
B is 5
Step-by-step explanation:
0 times 2 is 0 plus 1 is 1 that gives the answer to A
2 times 2 is 4 plus 1 is 5 which gives you B
find the measure of each angle indicated
Answers
The measurement ΔABC and ΔDEF according given triangle diagram is
∠C in ΔABC is 60°
∠F in ΔDEF is 64°
What does △ ABC mean?The polygonal shape of a triangle has three sides and three angles. Line segments AB, BC, and AC make up the triangle ABC's three sides, which are depicted above as written symbolically as "ABC." When two triangle sides cross, a vertex is created. Vertices for ABC are located at A, B, and C.Triangles are closed three-sided shapes. Area of ABC = (3/4)a2 if ABC is an equilateral triangle, where an is the length of one of the triangle's sides.An equilateral triangle, which is frequently referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.Given data :
Lets consider right side triangle as ΔABC
and consider left side triangle as ΔDEF
In ΔABC
ΔABC = 180°
∠A = 30°
∠B = 90°
∠AB = 90 + 30 = 120
∠C = ΔABC - ∠AB
= 180 - 120 = 60°
In ΔDEF
ΔDEF = 180°
∠D = 71°
Consider ∠E as = 45°
∠DE = 71° + 45 = 116
∠F = ΔDEF - ∠DE
= 180 - 116 = 64°
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The scale for a drawing is 1 centimeter to 5 meters. If the actual object is 35 meters, the drawing is _____ centimeters long.
A. 30
B. 17
C. 7
D. 40
Answers
Answer:
its c.7
Step-by-step explanation:
I took the quiz
Answer:
c. 7
Step-by-step explanation:
i had this quiz also
a bag contains a mixture of almonds, walnuts, and cashews. there is an equal quantity of each nut. if a nut is chosen randomly out of the bag, what is the probability that the nut is either an almond, a walnut, or a cashew? round answer to the nearest thousandth. a. 0.333 b. 0.667 c. 0.750 d. 1 please select the best answer from the choices provided a b c d
Answers
Given that a bag contains a mixture of almonds, walnuts, and cashews. There is an equal quantity of each nut. We have to find the probability that the nut is either an almond, a walnut, or a cashew.
Let's solve it. Total quantity of nuts in the bag = Quantity of almonds + Quantity of walnuts + Quantity of cashewsAs the bag contains an equal quantity of each nut, Let's assume that the bag contains 1 nut of each almond, walnuts, and cashews.
Quantity of almonds = 1Quantity of walnuts = 1Quantity of cashews = 1Total quantity of nuts in the bag = 3 Probability of choosing an almond from the bag
P (almond) = Quantity of almonds/Total quantity of nuts in the bag= 1/3Probability of choosing a walnut from the bag
P (walnut) = Quantity of walnuts/Total quantity of nuts in the bag= 1/3Probability of choosing a cashew from the bag
P (cashew) = Quantity of cashews/Total quantity of nuts in the bag= 1/3Probability of choosing either an almond, a walnut, or a cashew= P (almond) + P (walnut) + P (cashew) = 1/3 + 1/3 + 1/3= 1
Therefore, the probability that the nut is either an almond, a walnut, or a cashew is 1. Hence, option (d) is the correct answer.
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Josh is building a patio in his backyard. The length is 8 ft and the width is
12 feet. Find the area of his patio.
PLEASE HELP ASAP
Answers
Answer:
96 ftsq
Step-by-step explanation:
Assuming the patio is a rectangle, the area is length times width. 8 times 12 is 96
Answer:
9216 sq feet
Step-by-step explanation:
So, if his patio is, let's say, rectangle. The area is WIDTH X HEIGHT X WIDTH X HEIGHT.
your equation would be 12 x 8 x 12 x 8. You plug this into the calculator; the answer above is what you will get.
Question 2 of 19 (1 point) Attempt 1 of Unlimited Factor the trinomial using the ac-method. Select "Prime" if the polynomial cannot be factored. 4y²-y+2 4y²-y+2 =
Answers
Given trinomial is 4y² - y + 2We need to factorize the given trinomial using ac-method. We need to find the product of first and last term in the trinomial which is 4y² * 2 = 8y²
We need to find two factors of 8y² which adds up to -y.8y² can be written as 4y² × 2. The factors of 4y² are 4y and y and the factors of 2 are 2 and 1. Therefore, we can write -y as 4y × (-1) + y × 2.So, 8y² - y + 2 can be written as4y² + 4y - 3y + 2 Now, we can group the first two terms and last two terms and then take the common factors from them.4y² + 4y - 3y + 2 = 4y(y + 1) - 2(3y - 1)
The obtained expression can be written as 4y(y + 1) - 2(3y - 1).The factors of the trinomial 4y² - y + 2 are (4y + 1) and (y - 2).Therefore, the factorization of the trinomial 4y² - y + 2 using ac method is given as:4y² - y + 2 = (4y + 1)(y - 2). Hence, the required answer is (4y + 1)(y - 2).
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3. George deposits
$500 in an account
that earns 2.5%
interest each year.
Answers
Which numbers are solutions to the inequality 2x – 1 > x 2? check all of the boxes that apply.
Answers
Solutions to the given inequality are numbers 4 and 5. Thus, the answer is (e) and (f).
To find the solution, first, we solve the inequality for x:
2x - 1 > x + 2
2x - x > 2 + 1
x > 3
Hence, the answer is any number that is greater than 3.
Therefore, the solutions are numbers 4 and 5.
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The complete question is:
Which numbers are solutions to the inequality 2x - 1 > x + 2? Check all of the boxes that apply.
(a) 0
(b) 1
(c) 2
(d) 3
(e) 4
(f) 5
Given:PS || QR,/_QPS=/_SRQ
Prove:PQ=RS
Answers
Answer:
What is the question? I am confused?
In 60 econd, Darrell walk 90 meter. Select the two anwer that decribe the unit rate at which he walk
Answers
The unit rate at which Darrell walks is 1.5 meters per second, so the options with 1.5 meters per second is correct.
Given:
Darrell is walking for a distance of 90 meters in time 60 seconds.
To find out the unit rate we must divide the distance traveled by Darrell by the time taken to travel that distance.
Unit rate = Distance traveled / Time taken
= 90 meters / 60 seconds.
= 1.5 meters per second.
Therefore , The unit rate at which Darrell walks is 1.5 meters per second, so the options with 1.5 meters per second is correct.
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10 4 4) Maureen has spent 12 9/10hours tutoring students in math and 6 3/4 tutoring students in science, Which choice is the best estimate for how many hours Maureen has spent tutoring?
(A) 15 hours
(C) 20 hours
(B)25 hours
(D) 30 hours
Answers
Answer:
(C) 20 Hours
Step-by-step explanation:
solve the x:(pls help with explanation) 1. 2x/3=18 2. 1.6= x/1.5 3. 14y-8=13 4. 17+6p=9 5. x/3+1= 7/15
Answers
Answer:
1. X=27
2. X=2.4
3. y= 1.5
4. p=-1.33
5. X=-1.6
solution,
\(1. \: \: \frac{2x}{3} = 18 \\ \: \: or \: 2x = 18 \times 3(cross \: multiplication) \\ \: \: or \: 2x = 54 \\ \: \: \: or \: x = \frac{54}{2} \\ \: \: \: x = 27\)
\(2. \: \: 1.6 = \frac{x}{1.5} \\ \: \: or \: x = 1.6 \times 1.5( \: cross \: multiplication) \\ \: \: \: \: x = 2.4\)
\(3. \: \: 14y - 8 = 13 \\ \: \: \: or \: 14y = 13 + 8 \\ \: \: or \: 14 \: y = 21 \\ \: \: or \: 14 \times y = 21 \\ \: \: \: or \: y = \frac{21}{14} \\ \: divide \: 21 \: and \: 14 \: by \: 7 \: you \: will \: get \\ \:or \: y = \frac{3}{2} \\ y = 1.5\)
\(4. \: \: 17 + 6p = 9 \\ \: \: or \: 6p = 9 - 17 \\ \: \: or \: 6p = - 8 \\ \: \: or \: p = \frac{ - 8}{6} \\ \: \: or \: p = \frac{ - 4}{3} \\ \: \: p = - 1.33 \\ \)
\(5. \: \: \frac{x}{3} + 1 = \frac{7}{15} \\ \: or \: \frac{x + 1 \times 3}{3} = \frac{7}{15} \\ \: \: or \: \frac{x + 3}{3} = \frac{7}{15} \\ \: or \: 15(x + 3) = 7 \times 3( \: cross \: multiplication) \\ \: \: or \: 15x + 45 = 21 \\ \: \: or \: 15x = 21 - 45 \\ \: \: or \: 15x = - 24 \\ \: \: or \: x = \frac{ - 24}{15} \\ \: divide \: - 24 \: and \: 15 \: by \: 3 \\ \: or \: x = \frac{ - 8}{5} \\ x = - 1.6\)
Hope this helps ...
Good luck on your assignment..
A number cube is rolled 360 times and the results are recorded as follows: 52 ones, 59 twos, 67 threes, 73 fours, 42 fives, and 67 sixes. What is the experimental probability of rolling a two or a three?
Answers
Answer:
0.35
Step-by-step explanation:
Total rolled = 360 times
Two rolled = 59
Three rolled = 67
Two rolled probability = 59/360 = 0.164
Three rolled probability = 67/360 = 0.186
The experimental probability of rolling a two or a three
==> Two rolled probability + Three rolled probability
==> 0.164 + 0.186
==> 0.35
Suzanne bought 3.25 pounds of red delicious
apples at a price of $1.32 per pound. How much
did Suzanne spend on the apples?
Answers
Answer:$9.24
Step-by-step explanation:
Answer:
Suzanne spent $4.29 on the apples
Step-by-step explanation:
this is known because you need to add 1.32 three times then add .33 to it which will give you 3.96 + .33 = 4.29
Mr. Marlon pays minimum wage to the cashiers in his store. If minimum wage is $7.25 per hour, how much does a cashier make who works 40 hours per week?
Answers
======================================================
Explanation:
We multiply the hourly wage by the number of hours worked to get the total amount earned.
(7.25)*(40) = 290
This is before taxes are applied. So we consider it the gross earnings (as opposed to the net earnings).
The cashier will make $290 per week if they work 40 hours each week.
In an endurance race, Alyson rode her bicycle 7 miles less than Jeff. Together they rode 39 miles. How far did Alyson ride?
Answers
Answer:
Distance cover by Alyson = 16 miles
Step-by-step explanation:
Given:
Distance cover together = 39 miles
Assume;
Distance cover by Jeff = a
Distance cover by Alyson = a - 7
Find:
Distance cover by Alyson
Computation:
a + (a - 7) = 39
2a - 7 = 39
2a = 46
a = 23
Distance cover by Alyson = a - 7
Distance cover by Alyson = 23 - 7
Distance cover by Alyson = 16 miles
(14 points) Suppose you want to encode messages containing only the following characters with their given respective frequencies: B : 55 D : 15 E : 80 G : 5 U : 45
(a) (2 points) What is the minimum length bit string required to encode each character with a distinct, fixed-length code?
(b) (7 points) Construct the Huffman Tree for the characters with the given frequencies. (Use the convention that when merging two vertices, the vertex with the largest count goes on the left.)
(c) (5 points) Use your Huffman Tree to decode the message M = 00101010000011
discrete math
Answers
a) the minimum length bit string required to encode each character with a distinct, fixed-length code is 7 bits.
b) The resulting Huffman Tree is as follows:
/\
((G, D), (B, U), E)
c) decoding the message M = 00101010000011 using the Huffman Tree gives the string "DUBEE".
What is string?
A string is a sequence of characters, such as letters, digits, symbols, or spaces, that are used to represent text. In programming languages, strings are often enclosed in quotation marks (e.g., "Hello, World!").
(a) To find the minimum length bit string required to encode each character with a distinct, fixed-length code, we need to determine the maximum number of bits needed to represent any character. We can do this by finding the character with the highest frequency and calculating the number of bits required based on that frequency.
In this case, the character with the highest frequency is 'E' with a frequency of 80. To represent 80 unique values, we need at least ⌈log₂80⌉ = 7 bits.
Therefore, the minimum length bit string required to encode each character with a distinct, fixed-length code is 7 bits.
(b) To construct the Huffman Tree, we start by creating individual trees for each character, with their respective frequencies as the weights. We then iteratively merge the two trees with the lowest frequencies until all the trees are combined into a single tree.
First, let's list the characters and their frequencies:
B: 55
D: 15
E: 80
G: 5
U: 45
Merge G and D (5 + 15 = 20):
Frequency: 20
Combined tree: (G, D)
Merge B and U (55 + 45 = 100):
Frequency: 100
Combined tree: (B, U)
Merge the combined tree from step 1 with the combined tree from step 2 (20 + 100 = 120):
Frequency: 120
Combined tree: ((G, D), (B, U))
Merge the combined tree from step 3 with E (120 + 80 = 200):
Frequency: 200
Combined tree: ((G, D), (B, U), E)
The resulting Huffman Tree is as follows:
/\
((G, D), (B, U), E)
(c) To decode the message M = 00101010000011 using the Huffman Tree, we start from the root and follow the path based on the bits.
Starting from the root:
M[0] = 0 -> Go to the left child ((G, D))
M[1] = 0 -> Go to the left child (G)
M[2] = 1 -> Go to the right child (D)
At this point, we have decoded the first character as 'D'. We continue from the root for the remaining bits:
M[3] = 0 -> Go to the left child ((B, U))
M[4] = 1 -> Go to the right child (U)
M[5] = 0 -> Go to the left child (B)
M[6] = 1 -> Go to the right child (U)
We have decoded the second character as 'U'. Finally, for the last two bits:
M[7] = 1 -> Go to the right child (E)
M[8] = 1 -> Go to the right child (E)
The last character is 'E'.
Therefore, decoding the message M = 00101010000011 using the Huffman Tree gives the string "DUBEE".
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Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x| - 4?
Answers
Answer:
Moved the graph down by 4.
Step-by-step explanation:
By subtracting by 4 on the outside, you are moving it down 4.
Give the information asked for to each problems Ax Styles Tags Assignments Calendar In each of the following state the Start Value Growth Value 1. C-5f + 32 Calts FE 2. Y= 4000 - 250x 3 х -3 0 6 у -9 3 -1 -5 3 4. x -4 4 8 Olo у 3 15 21 5. A financial account begins with $5900. Each week $300 is deducted. 6. Also point to the start value Apps Hus Type here to search
Answers
Explanation:
1) C = 5/9 f + 32
The start value is the constant = 32.
The start value = 32
Growth value = rate of change
Growth value = 5/9
2) y = 4000 - 250x
The start value is the constant = 4000
The start value = 4000
what is the density of 2.4kg of muscle that occupies 30cm^3 of space?
Answers
The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.
The density of an object can be calculated using the formula: density = mass/volume. In this case, the mass of the muscle is 2.4 kg and the volume it occupies is 30 cm³. To find the density, simply divide the mass by the volume:
Density = (2.4 kg) / (30 cm³)
Density ≈ 0.08 kg/cm³
So, the density of the 2.4 kg muscle occupying 30 cm³ of space is approximately 0.08 kg/cm³. The density of an object can be calculated using the formula: density = mass/volume. The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.
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Describe a pattern in the sequence of numbers. Predict the next number.
1.) 256, 64, 16, 4, ... ________.
2.) 2, 6, 18, 54, ... _______
Answers
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
In the first sequence,
let's take ratio of the next term with its preceding term, so we will get the common ratio ~
\(\qquad \sf \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} \)
So, we can imply that The next term of the sequence is 1/4 times the previous term.
hence, the unknown term will be 1/4 times of previous term.
That is : 1/4 × 4 = 1Therefore, the next term here is 1
In the second sequence,
Do the same procedure as above, we will get common ratio as :
\(\qquad \sf \dashrightarrow \: \cfrac{18}{6} = 3\)
So, the next term is 3 times the preceding term, that is :
3 × 54 = 162Therefore, the next term is 162
pattern: divide by 4
next term: 1
2.
pattern: multiply by 3
next term: 162