The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price? without using subtraction
Answer:
$10.2
Step-by-step explanation:
Use this formula:
Price of product after discount = Initial Price * ( 1 - (discount/100) )
The diagonals of parallelogram WXYZ intersect at P. Which statement must be true? Select all that apply.
Answer:
Options (A), (B) and (C)
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides are equal and parallel.
2). Opposite angles are equal.
3). Adjacent pair of angles is supplementary.
4). Diagonals bisect each other.
By property number (4),
WP ≅ YP
BY property number (1),
XY ≅ WZ
By property number (1),
XY║WZ and WY is a transversal line,
∠YWZ = ∠WYX [Alternate interior angles]
Options (A), (B) and (C) are the correct options.
Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of
$47.65. Let m represent the number of magazines and b represent the number of books, Which equation models the
situation?
m+ 47.95
O
m 60.55
3.95m +8,955-47.65
3.95m +3.95b = 47.65
Answer:
$3.95m + $8.95b = 47.65
Step-by-step explanation:
I think I don't it right but if not sorry
if I have 17 boxes contain 23 chocolate bars each How many chocolate bars do I have in total?
Answer:
391
Step-by-step explanation:
17 x 23 = 391
Answer:
391 chocolate bars
Step-by-step explanation:
You just multiply 23 × 17!
please help me as soon as possible with this
Part A: The student was supposed to divide before subtracting
Part B: The student was supposed to simplify the parentheses before finding the exponents
Part C: The simplification of the expression gives -16.
From the question, we are to simplify the given expression
The given expression is
(∛64 - 16 ÷ 2)(2 - 4)²
Part A:
The mistake the student made was not applying the PEMDAS rule
P - Parentheses
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
Since division comes before subtraction, the student was supposed to divide before subtracting
Part B:
The student mistake was trying to simplify the exponent before simplifying the parentheses. The student was supposed to simplify the parentheses before finding the exponents.
Part C:
Simplifying the expression
(∛64 - 16 ÷ 2)(2 - 4)²
Simplify the cube root
(4 - 16 ÷ 2)(2 - 4)²
Divide
(4 - 8)(2 - 4)²
Simplify the parenthesis
(-4)(-2)²
Simplify the exponent
(-4)(4)
Evaluating
-16
Hence, the simplification of the expression gives -16.
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in a complete undirected graph with five vertices how many cells will contain a value of 1 in an adjacency matrix?
There are 5 1's in the given identity matrix of order 5.
Given, an identity matrix of order 5
we have to find the number of 1 in the given matrix
So, as the matrix is an identity matrix and the order of the matrix is 5
in an identity matrix, the entry is 1 when
i = j i.e. on the diagonal elements.
As, the order of the matrix is 5 then, the number of 1's in the matrix are 5.
Hence, there are 5 1's in the given identity matrix of order 5.
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which expression is equivalent to 5m+m+2m
Answer: 8m
Step-by-step explanation:
5+1+2=8
Answer:
7m + m
Step-by-step explanation:
If you combine like terms, your final answer would be 8m. However, you said you wanted an expression so 7m + m would be an equivalent one. 8m is a term, not an expression.
what is the solution to the question 3|x| - 1 = 8.
A. x = 3 or 9
B. x = 9 or 9
C. x = 3 or -9
D. x = -3 or 3
there are four bacteria in an egg salad that is left out at room temperature. after two hours, how many bacteria will be in the egg salad?
The number of bacteria in an egg salad that is left out at room temperature is 256 option D.
The bacteria would double 4 times in 2 hours, so the total number of bacteria in the egg salad would be 256.
So we have 4 bacteria after 2 hours we have,
4 x 4 x 4 x 4 = 256 bacteria.
Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring.
Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution, in which you will learn about the possible results of a random experiment. To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.
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Complete question:
There are four bacteria in an egg salad that is left out at room temperature. After two hours, how many bacteria will be in the egg salad?
- 32
- 2048
- 8
- 256
Could somone please help me with these questions, i would appreciate it
Answer:
i think these are the same as the one i answered on ur other question
just not the number lines
x^3+5x^2+3x+15 factor the polynomial
Answer:
(x+5) (x^2+5)
Step-by-step explanation:
x^3+5x^2+3x+15
Using factoring by grouping
x^3+5x^2 +3x+15
x^2(x+5) + 3(x+5)
Factor out (x+5)
(x+5) (x^2+5)
Answer:
( x + 5 ) (x² + 3)
Step-by-step explanation:
x³ + 5x² + 3x + 15
factor out x²
x² ( x + 5 ) + 3x + 15
factor out 3
x² ( x + 5 ) + 3 ( x + 5 )
factor out x + 5 from the expression
( x + 5 ) (x² + 3)
Dante drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Dante drove home, there was no traffic and the trip only took 7 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Dante live from the mountains?Do not do any rounding.
You know that:
- Last weekend his trip took 10 hours when he drove to the mountains.
- When he drove home, the trip took 7 hours.
- His average rate was 18 miles per hour faster on the trip home.
By definition, the distance can be calculated with this formula:
\(d=rt\)Where "d" is distance, "r" is rate, and "t" is time.
Then, you can set up the following equation to represent his trip to the mountains ("d" is in miles):
\(d=10r\)And you can set up the following equation to represent his trip home ("d" is in miles):
\(d=7(r+18)\)To find the value of "r", you need to make both equations equal to each other and solve for "r". Then, you get:
\(\begin{gathered} 10r=7(r+18) \\ 10r=7r+126 \\ 10r-7r=126 \\ \\ r=\frac{126}{3} \\ \\ r=42 \end{gathered}\)Knowing the value of "r", you can substitute it into the second equation:
\(\begin{gathered} d=7\mleft(r+18\mright) \\ d=(7)\mleft(42+18\mright) \end{gathered}\)Finally, evaluating, you get (Remember that "d" is in miles)
\(\begin{gathered} d=(7)(60) \\ d=420 \end{gathered}\)Therefore, the answer is:
\(420\text{ }miles\)Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 3 and DC = 9, what is the length of AC?
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 3 and DC = 9, the length of AC is: 4 units.
How to find the length?In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. Let's call the length of the hypotenuse AC as x, and the length of the segment containing point B as y. Then, the length of the other segment containing point C is x - y.
Using similar triangles, we can set up the following proportion:
BD/DC = y/(x - y)
Substituting the given values, we get:
3/9 = y/(x - y)
Simplifying this equation, we get:
x - y = 3y/9
x = 4y/3
We also know from the Pythagorean theorem that:
AC^2 = AB^2 + BC^2
Since triangle ABC is a right triangle, we have:
AB^2 + BC^2 = x^2
Substituting x = 4y/3, we get:
AB^2 + BC^2 = (4y/3)^2
But we also know that:
AB/BC = 3/4
So we can set up another proportion:
AB/BC = y/(x - y)
Substituting x = 4y/3, we get:
AB/BC = y/(4y/3 - y)
Simplifying this equation, we get:
AB/BC = y/((4/3)y - y)
AB/BC = y/((1/3)y)
AB/BC = 3
So we have:
AB = 3BC
Substituting this into AB^2 + BC^2 = (4y/3)^2, we get:
(3BC)^2 + BC^2 = (4y/3)^2
10BC^2 = 16y^2/9
But we also know that:
BC^2 + y^2 = x^2
Substituting x = 4y/3, we get:
BC^2 + y^2 = (4y/3)^2
5BC^2 = 7y^2/9
Combining this with 10BC^2 = 16y^2/9, we get:
15BC^2 = 21y^2/9
BC^2 = (7/3)y^2/3
Substituting this into BC^2 + y^2 = (4y/3)^2, we get:
(7/3)y^2/3 + y^2 = 16y^2/9
7y^2/9 + 9y^2/9 = 16y^2/9
16y^2/9 = 16y^2/9
So this equation is true for any value of y. Therefore, the length of AC is:
AC = x = 4y/3
Substituting y = BD = 3, we get:
AC = 4(3)/3 = 4
Therefore, the length of AC is 4 units.
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PLEASE WRITE EXPLANATION I REALLY NEED HELP ASAP!!!
Answer:
slope = - \(\frac{3}{2}\)
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, 1 ) and (x₂, y₂ ) = (8, - 8 ) ← 2 ordered pairs from the table
note that any 2 ordered pairs may be used to calculate m
m = \(\frac{-8-1}{8-2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\)
How many kilograms are in 242,000 milligrams?
Answer:
.242 Kilograms
Step-by-step explanation:
To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.
Answer:
0.242 kg
Step-by-step explanation:
divide the mass by 1e+6
What is the solution to the system of equations?
y= 1/3x-10
2x + y = 4
34756Step-by-step explanation:
A college instructor wants to estimate with 99% certainty the mean math anxiety score for freshman enrolled in college algebra at PSU.What should she do?
She should report the estimated mean math anxiety score along with the confidence interval, which represents the range within which the true population mean is likely to fall with 99% certainty.
To estimate the mean math anxiety score for freshman enrolled in college algebra at PSU with 99% certainty, the college instructor should take a random sample of the freshman population enrolled in college algebra.
She should ensure that the sample size is large enough to meet the assumptions of the central limit theorem, which typically requires a sample size of at least 30. Once the sample is taken, she should calculate the sample mean and standard deviation of the math anxiety scores.
Next, she should use a confidence interval formula to determine the range within which the true mean math anxiety score for the entire population of freshman at PSU falls. This formula takes into account the sample mean, sample standard deviation, sample size, and level of confidence (99%).
Finally, she should report the estimated mean math anxiety score along with the confidence interval, which represents the range within which the true population mean is likely to fall with 99% certainty. This will provide useful information for understanding and addressing the math anxiety levels of freshman enrolled in college algebra at PSU.
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Graph of triangle ABC in quadrant 3 with point A at negative 8 comma negative 4. A second polygon A prime B prime C prime in quadrant 4 with point A prime at 4 comma negative 8. 90° clockwise rotation 180° clockwise rotation 180° counterclockwise rotation
The rotation rule used in this problem is given as follows:
90º counterclockwise rotation.
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x)90° counterclockwise rotation: (x,y) -> (-y,x)180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y)270° clockwise rotation: (x,y) -> (-y,x)270° counterclockwise rotation: (x,y) -> (y,-x).The equivalent vertices for this problem are given as follows:
A(-8,-4).A'(4, -8).Hence the rule is given as follows:
(x,y) -> (-y,x).
Which is a 90º counterclockwise rotation.
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help please‼️ ASAP.......
Answer:
Step 1
Step-by-step explanation:
They're all wrong expansions but step 1 was where he made his first error... He shifted the bracket putting 3x inside the bracket... While the other steps the first expansion of 3x eliminating the bracket was correct.
The correct expansion is meant to be 3x + 21 + 5 = 3x + 26
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the function f+g is ______
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
For function f:
x - 7 ≤ 0 and x ≥ 0
For function g:
x + 2 ≥ 0 and x - 5 ≤ 0
The sum of the f + g:
x - 7 + x - 5 ≤ 0
2x - 12 ≤ 0
2x ≤ 12
∴ x ≤ 6
Also, x + 2 ≥ 0
x ≥ -2
Hence, -2 ≤ x ≤ 6
I NEED SOME HELP PLS I WILL GIVE 30 POINTS FOR HELP
question: Drag each statement to show whether it is true, based on the graph.
Answer:
TRUE: Stalk grew by 6.25 inches, stalk grew 25 inches in 4 weeks, quotient 25/4 equals growth per week
FALSE: 25 weeks stalk grew 4 inches
Can't determine: bag holds 25 stalks
Amrit's income is 32% more than Bethan's income.
Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Answer:
Based on the given conditions, formulate:
Reduce the fraction:
get the result:
Answer:
Step-by-step explanation:
The Amrit's income is £27434.16.
It is required to find the
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let the Bethan's income be x
Amrit's income is 32% more than Bethan's income.
So, Amrit's income=x+32%
Amrit and Bethan's combined income is £54868.
According to given question we have
x+x+32%=£54868
2x+32/100=£54868
2x=54868-0.32
2x=54867.68
x=27433.84
Bethan's income=£ 27433.84
Amrit's income
=x+32%
=£ 27433.84+0.32
=£27434.16
Therefore, the Amrit's income is £27434.16.
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Q4. Find the particular solution for the following non-homogeneous system of first- order linear differential equation. Y = 54 -5x² +6x+25 5 Y(0)= 1 2 -x²+2x+4
The particular solution for the given non-homogeneous system of first-order linear differential equations is:
\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)
To find the particular solution for the non-homogeneous system of first-order linear differential equations, we need to substitute the given values into the system and solve for the unknown coefficients.
The given system is:
\(Y' = 54 - 5x^2 + 6x + 25\\Y(0) = 12 - x^2 + 2x + 4\)
Differentiating the second equation, we have:
\(Y'(0) = -2x + 2\)
Now, let's substitute these values into the first equation:
\(Y' = 54 - 5x^2 + 6x + 25\)
Since there are no derivatives of Y in the equation, we can integrate both sides with respect to x to find the particular solution:
\(\int Y' dx = \int (54 - 5x^2 + 6x + 25) dx\)
Integrating each term separately, we get:
\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + C\)
Now, using the initial condition\(Y(0) = 12 - x^2 + 2x + 4\), we can substitute x = 0 and \(Y = 12 - x^2 + 2x + 4\) into the equation to solve for the constant C:
\(12 - 0 + 2(0) + 4 = 54(0) - (5/3)(0^3) + 3(0^2) + 25(0) + C\)
16 = C
C= 16
Therefore, the particular solution for the given non-homogeneous system of first-order linear differential equations is:
\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)
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I’ll give you brainlest if you answer this! goes to the first person!
Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!
Answer:
\(7\sqrt{2}\) to the nearest tenth would be, 9.9
Step-by-step explanation:
Use distance formula:
(-3-4)^2 + (8-1)^2 all under square root.
49 + 49
\(\sqrt{98\\\)
Which simplifies to 7\(\sqrt{2\\}\)
Hope this helps,
Feel free to mark this brainliest! :)
the answer is 5.099 rounded too 5.1
8 is 75% of what number
Answer:
10.6
Step-by-step explanation:
Answer:
10.67
Step-by-step explanation:
75% of 10.67 is 8. 100% of 10.67 is 10.67, therefore 75 percent of 10.67 equals 8.
Hope this helps sir/ma'am!!!!!;)
Which of the following is the correct value of x?
Group of answer choices
x = 11
x = 33
x = 17
x = 7
Answer:
x= 17.
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, TU = 88 feet, and UV = 43 feet. Find the measure of ∠T to the nearest tenth of a degree
Step-by-step explanation:
This is for the law of sines, if that's not the lesson ur taking then don't use my answer
HJ congruent to HK measurements of angle HKL = (x+50), measurements of H = (x-30). Find the measurement of H.
H= 20°
Explanation
as HJ is congruent to HK , here we have an isosceles triangle, The angles opposite to equal sides are equal in measure,so
Step 1
\(\begin{gathered} \measuredangle K=\measuredangle J \\ \measuredangle K=180-\measuredangle HKL \\ \measuredangle K=180-(x+50) \\ \measuredangle K=130-x \end{gathered}\)
also, we know the sum of the internal angles in a triangle equals 180, so
\(\begin{gathered} \measuredangle H+\measuredangle K+\measuredangle J=180 \\ x-30+130-x+130-x=180 \\ -x+230=180 \\ \text{subtract 230 in both sides} \\ -x+230-230=180-230 \\ x=50 \end{gathered}\)Step 2
now, replace in angle H
\(\begin{gathered} H=x-30 \\ H=50-30 \\ H=20 \end{gathered}\)therefore, the measurement fo H is
H= 20°
I hope this helps you