Answers
Answer:
1) 24
2) 36
3) 144
Step-by-step explanation:
Order of operations are the operations in which you must complete multiple-operation equations.
Here's an acronym to help you remember the order of operations.
PEMDAS:
ParenthesisExponentiation (exponents)Multiplication/DivisionAddition/Subtraction----------------------------------------------------------------------------------------------------------------
7 × 3 + (18 - 9) ÷ 3
First, as stated by the order of operations, solve what is in parenthesis.
7 × 3 + (18 - 9) ÷ 3
7 × 3 + 9 ÷ 3
-------------------------------------------------------------------------------------------------------------
There are no exponents.
Further, we solve the multiplication problem(s).
7 × 3 + 9 ÷ 3
21 + 9 ÷ 3
-------------------------------------------------------------------------------------------------------------
Moreover, we solve the division problem(s).
21 + 9 ÷ 3
21 + 3
-------------------------------------------------------------------------------------------------------------
Lastly, we solve the remaining addition problem(s).
21 + 3
24
-------------------------------------------------------------------------------------------------------------
Now, we solve the remaining equations using order of operations (PEMDAS).
(7 × 3) + (18 - 9 ÷ 3)
21 + (18 - 9 ÷ 3)
21 + 18 - 3
39 - 3
36
-------------------------------------------------------------------------------------------------------------
7 × (3 + 18) - 9 ÷ 3
7 × 21 - 9 ÷ 3
147 - 9 ÷ 3
147 - 3
144
P- parenthesis
E-exponents
M-multiply
D-Divide
A-Add
S-subtract
1. 7 x 3 + (18 - 9) / 3
( 2 1 + 9 /3)
(21 + 3)
(24)
1. P=18-9= 9
2. M=7x3=21
3. D=9/3=3
4. A= 21+3= 24
2. (7 x 3) + (18 - 9 / 3)
(21) + (15)
(36)
1. P= 7x3=21 and 9/3=3,18-3= 15
2. D=21+15=36
3. 7 x (18 + 3) - 9 / 3
(7x 21 - 9 / 3)
(147 - 9 / 3)
(147-3)
(144)
1. P= 18+3 =21
2.M= 7 x 21 =147
3.D= 9/3= 3
4.S= 147-3=144
I hope this helped and was right, have a nice day.
Related Questions
What is 1 and 2/5 as an Improper faction in its simplest form
Answers
Answer:
\(\frac{7}{5}\)
Step-by-step explanation:
1 \(\frac{2}{5}\)
= 1 + \(\frac{2}{5}\)
= \(\frac{5}{5}\) + \(\frac{2}{5}\)
= \(\frac{5+2}{5}\)
= \(\frac{7}{5}\)
The fraction is:
7/5
Step-by-step explanation:
The number we're given is:
\(\large\pmb{1\dfrac{2}{5}}\)
To convert it into an improper fraction, we first multiply the whole number part (1) times the denominator (5). Then, we add 2, the numerator. We get 7.
That is the numerator of the improper fraction. As for the denominator, we just copy it.
\(\pmb{\dfrac{7}{5}}\)
Therefore, the answer is 7/5.
a disc jockey has 10 songs to play .Seven are slow songs 3 are fast songs. Each song is to be played only once. In how many ways can the DJ play the 10 songs if A) the songs can be played in any order B) the first song must be a slow song and the last song must be a slow song C) the first two songs must be fast songs
Answers
If the songs can be played in any order, there are 3,628,800 different ways for the DJ to play the 10 songs.
If the first song must be a slow song and the last song must be a slow song, there are 203,212,800 different ways for the DJ to play the 10 songs.
If the first two songs must be fast songs, there are 241,920 different ways for the DJ to play the 10 songs.
A) If the songs can be played in any order, the DJ has 10 songs to play, out of which 7 are slow songs and 3 are fast songs. This is a permutation problem since the order matters. The total number of ways to play the songs can be calculated using the formula for permutations:
Total number of ways = 10P10 = 10!
Here, "!" represents the factorial function. Evaluating the expression, we get:
Total number of ways = 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800 ways
Therefore, if the songs can be played in any order, there are 3,628,800 different ways for the DJ to play the 10 songs.
B) If the first song must be a slow song and the last song must be a slow song, we fix the positions of the first and last songs. The remaining 8 songs can be arranged in the middle in any order. This is a permutation problem with repetition since there are repeated elements (slow songs). The calculation is as follows:
Total number of ways = 7P1 * 8P8 = 7! * 8!
Here, 7P1 represents permuting the slow songs for the first position, and 8P8 represents permuting the remaining songs in the middle positions.
Simplifying the expression, we get:
Total number of ways = 7! * 8! = 5,040 * 40,320 = 203,212,800 ways
Therefore, if the first song must be a slow song and the last song must be a slow song, there are 203,212,800 different ways for the DJ to play the 10 songs.
C) If the first two songs must be fast songs, we fix the positions of the first two songs as fast songs. The remaining 8 songs can be arranged in the remaining positions in any order. This is again a permutation problem with repetition:
Total number of ways = 3P2 * 8P8 = 3! * 8!
Simplifying the expression, we get:
Total number of ways = 3! * 8! = 6 * 40,320 = 241,920 ways
Therefore, if the first two songs must be fast songs, there are 241,920 different ways for the DJ to play the 10 songs.
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The seller wants to take $185,000 on the sale of his house after paying the commission of 6%. How much must the selling price be?
Answers
Answer:
196808.5106
Step-by-step explanation:
the seller will take 94% from the selling price and pay 6% to the commission, and he wants to take 185000 dollars
let the price = x
then x * 94% = 185000
Solving for x you get the answer
WILL MARK BEST ANSWER BRAINLIEST; WORTH 15 POINTS
A bag contains equal-sized disks that are either red, green, yellow, or blue. There are 6 red disks, 3 green disks, 6 yellow disks, and 5 blue disks. If a disk is selected at random from the bag, what is the probability that the disk will be either red or yellow?
Answers
Answer:
3/5
Step-by-step explanation:
There are 20 discs in total. We need to find the probability of picking out either a red or yellow disc. There are 6 red discs and 6 yellow discs, a total of 12. This means that our chances of picking out a red or yellow disc from the bag is 12/20, which can be simplified to 3/5.
Answer:
3/5 or 60%
Step-by-step explanation:
Total disks: 6+3+6+5= 20
red+yellow disks: 6+6=12
red+yellow/total disks=12/20
FRACTION:
simplify: 12/20=6/10=3/5
3/5 probability of a red or yellow disk
PERCENTAGE:
12/20=60/100
60% chance of red or yellow
A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.
Answers
Answer:
the answer is in the link
Step-by-step explanation:
https
bxaha zshkkkvxxxkvvvvwuqgceuuuegieg DONT KNO
does regular exercise decrease the risk of cancer? a researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a
Answers
the subjects for 10 years to see which group develops more cancer this is a Prospective study
Individuals are monitored in real-time for prospective studies, as information is gathered about them as their traits or situations evolve. Prospective studies include things like birth cohort studies.
In retrospective research, people are sampled, as details regarding their history are gathered. This could be done by asking people to recollect significant occurrences during interviews or by finding pertinent administrative data to fill in the blanks on former events and conditions.
A study sample is split into two groups in a randomized experiment: one will get the intervention under research, while the other won't.
A matched experiment is a type of research setup in which subjects are paired up according to traits they have in common before being divided into categories.
A survey involves asking a sample of people a specified set of questions.
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please help: in the figure, ∆LMN ≅ ∆RST. find the values of x and y
Answers
Answer:
X=8, y=19
Step-by-step explanation:
These two triangles are congruent. This means that angle STR = angle MNL, so angle STR = 63°. We know the angles in a triangle must sum to 180°, so we can figure out 3x from this, given that we know the other two angles. 63 + 93 = 156, so 3x = 180-156=24. This gives us that x = 8. Now we can solve for x, because we know that SR = ML, so 3x + y = 43. We know x = 8, so we get that 24 + y = 43, or y = 19.
I hope this helps!
Factor −6x2 + 18x.
6x(−x + 3)
−6x(x + 3)
x(6x + 18)
6(−x2 + 18x)
Answers
The factored expression of the expression given as -6x² + 18x is -6x(x - 3)
How to factor the expression completely?The expression is given as
-6x² + 18x
Group the expression in 2's
So, we have
-6x² + 18x= (-6x² + 18x)
Factor each group
So, we have
-6x² + 18x= x(-6x + 18)
Rewrite as
-6x² + 18x= -6x(x - 3)
Hence, the factored expression is -6x² + 18x= -6x(x - 3)
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In your notebook, set up the following subtraction in a vertical format and select the correct answer. Find 2p 2 3p - 4 less - 2p 2 - 3p 4. 4p2 6p 8 4p2 - 6p - 8 4p2 6p - 8 0.
Answers
The equation in the reduced form of the equation is \(\rm 4p^ 2 + 6p - 8\).
Given that,
Equation; \(\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4\)
We have to reduce the equation.
According to the question,
To reduce the equation means we need to subtract one equation from the other.
To determine the reduced form of the equation following all the steps given below.
Equation; \(\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4\)
Subtraction equation 1 from equation 2,
\(\rm = \rm 2p^ 2 + 3p - 4\ -(-2p ^2 - 3p + 4)\\\\= 2p^ 2 + 3p - 4\ -(-2p ^2 -3p +4)\\\\ = 2p^ 2 + 3p - 4+2p^ 2 + 3p - 4 \\\\ = 4p^ 2 + 6p - 8\)
Hence, The equation in the reduced form of the equation is \(\rm 4p^ 2 + 6p - 8\).
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Reduce the fraction
72/120
Enter your answer as a fraction in simplest form, using the / symbol, like this: 42/53
Or, if the denominator is 1. enter your answer as a number, like this: 42
Answers
Answer:
3/5
Step-by-step explanation:
72/2 =36
120/2 =60
=36/60
36/2 = 18
60/2 = 30
=18/30
18/2=9
30/2 =15
= 9/15
9/3=3
15/3 =5
= 3/5
26 = z/19
20p question
Answers
Answer: I hope this helps
Step-by-step explanation:
26=z/19
Multiply both sides of the equation by 19
then you get
494=z but you need to
Swap the sides of the equation Which is something like this
z=494
Answer:
z = 494
Step-by-step explanation:
Given equation,
→ 26 = z/19
Now the value of z will be,
→ 26 = z/19
→ z/19 = 26
→ z = 26 × 19
→ [ z = 494 ]
Hence, the value of z is 494.
can someone help i’m confused
Answers
PN = LO
__________________________
(LO)^2 = (LN)^2 + (NO)^2
(LO)^2 = 6^2 + 8^2
(LO)^2 = 36 + 84
(LO)^2 = 100
LO = √100
LO = 10
__________________________
Thus :
PN = 10
Step-by-step explanation:
So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well. LO and PN are also equal.
We can see that PN is the hypotenus of either triangle NLP or NOP. LO is the hypotenuse of LOP and LON, so those could be used to find the length as well. I rather work with NOP, but any work.
We know that NO is 8 units long and LN is 6 units long. Because LN = PO, PO = 6 units.
So, using the pythagorean theorem, the hypotenuse is:
8^2 + 6^2 = c^2
64 + 32 =c^2
sqrt(96)=c
c~9.8
I don't know how exact they want your answer.
c = 9.79795897113
Factor the polynomial
3x^4 – 2x^2 + 15x^2 –10 by grouping.
Which product is the factored form of the polynomial?
A.
\(( - x {}^{2} - 5)(3x {}^{2} + 2)\)
B.
\((x {}^{2} - 2)(3x {}^{2} + 5)\)
C.
\((x {}^{2} + 5)(3x {}^{2} - 2)\)
D.
\((3x {}^{2} - 5)(x {}^{2} + 2)\)
Answers
The product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).
What is a polynomial?In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
The polynomial is first correctly stated as follows
\(\sf 3x^4 - 2x^2 + 15x^2 -10\)This is rearranged, grouped and solved as follows:
\(\sf 3x^4+15x^2-2x^2-10\)
\(\sf (3x^4+15x^2)-(2x^2+10)\)
\(\sf 3x^2(x^2+5)-2(x^2+5)\)
Factorizing the common factors, we have the product of the factored form of the polynomial as follows:
\(\boxed{\rightarrow\bold{(x^2 + 5)(3x^2 - 2)}}\)
Thus, the product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).
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Solve.
−5/6 = −1/4 − 7/10x
Enter your answer as a fraction in simplest form.
I don't know how brainly works :b
Answers
Answer:
\(\boxed{\sf x=\cfrac{5}{6}}\)
Step-by-step explanation:
\(\sf -\cfrac{5}{6}=-\cfrac{1}{4}-\cfrac{7}{10}x\)
\(\sf -\cfrac{1}{4}-\cfrac{7}{10} \; x=-\cfrac{5}{6}\)
Add 1/4 to both sides:-
\(\sf -\cfrac{1}{4}-\cfrac{7}{10}x+\cfrac{1}{4}=-\cfrac{5}{6}+\cfrac{1}{4}\)
Simplify:-
\(\sf -\cfrac{7}{10}x=-\cfrac{7}{12}\)
Multiply both sides by 10:-
\(\sf 10\left(-\cfrac{7}{10}x\right)=10\left(-\cfrac{7}{12}\right)\)
Simplify:-
\(\sf -7x=-\cfrac{35}{6}\)
Divide both sides by -7:-
\(\sf \cfrac{-7x}{-7}=\cfrac{-\cfrac{35}{6}}{-7}\)
Simplify:-
\(\sf x=\cfrac{5}{6}\)
____________________
Hope this helps!
Have a great day! :)
Answer:
x = 5/6
Step-by-step explanation:
Given equation,
→ (-5/6) = (-1/4) - (7/10)x
Now the value of x will be,
→ (-5/6) = (-1/4) - (7/10)x
→ (-7/10)x = (-5/6) + (1/4)
→ (-7/10)x = (-10 + 3)/12
→ x = (-7/12) × (-10/7)
→ x = 10/12
→ [ x = 5/6 ]
Hence, the answer is 5/6.
HELP ME PLEASE AS FAST AS POSIBLE
Answers
Answer:
243 inches to the 3 power
Step-by-step explanation:
Help please I need this done
Answers
Step-by-step explanation:
the answer is in the above image
Answer:
61°
Step-by-step explanation:
(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD
x°+18°=4x°-15°
18°+15°=4x°-x°
33°=3x°
33°/3°=3x°/3°
11=x
angle ABD
90°-(x+18)°. the sides of a rectangle meet at 90°
90°-(11+18)°
90°-(29)°
90°-29°
61°
The coordinates of point L on a coordinate grid are (−2, −4). Point L is reflected across the y-axis to obtain point M and across the x-axis to obtain point N. What are the coordinates of points M and N? M(2, 4), N(−2, −4) M(2, −4), N(−2, 4) M(−2, −4), N(2, 4) M(−2, 4), N(2, −4)
Answers
Answer:
M(2, −4), N(−2, 4)
Step-by-step explanation:
Transformation is the movement of a point from one place to another. If an object is transformed, all the points of the object are being changed. There are different types of transformation which are: Reflection, rotation, translation and dilation.
Reflection of a point is the flipping of a point. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y). If a point B(x, y) is reflected across the y axis, the new point is A'(-x, y).
The coordinates of point L on a coordinate grid are (−2, −4), if Point L is reflected across the y-axis to obtain point M, the coordinates of M is at (2, -4).
if Point L is reflected across the x-axis to obtain point N, the coordinates of N is at (-2, 4).
Answer: M(2, −4), N(−2, 4) So D can i get branliest
Step-by-step explanation:
what is the indentation diagonal length when a load of 0.700 kg produces a vickers hv of 650
Answers
the indentation diagonal length is approximately 0.0686 units.
What is Intention Diagonal Length?
The indentation diagonal d is determined by the mean value of the two diagonals d 1 and d 2 at right angles to each other: To avoid the risk of bulging of the material on the opposite side of the sample, the thickness should not fall below a certain minimum value. value. The minimum thickness depends on the expected hardness of the material and the test load.
To calculate the indentation diagonal length using the Vickers hardness value, you need to know the applied load and the hardness number. The Vickers hardness test measures the resistance of a material to indentation using a diamond indenter.
In this case, you have the following information:
Load: 0.700 kg
Vickers HV: 650
The Vickers hardness number (HV) is defined as the applied load divided by the surface area of the indentation.
The formula to calculate the indentation diagonal length (d) is:
d = 1.854 * sqrt(L / HV)
Where:
d = indentation diagonal length
L = applied load in kg
HV = Vickers hardness number
Plugging in the values:
d = 1.854 * sqrt(0.700 / 650)
Calculating the square root and performing the division:
d ≈ 1.854 * 0.0370262
d ≈ 0.0686
Therefore, the indentation diagonal length is approximately 0.0686 units. Please note that the specific unit (e.g., millimeters) was not provided in the question, so the answer is given in relative units.
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Find the area of a rectangle with dimensions (x + 12) and (x - 4). Express your answer as a
polynomial
Answers
rectangle area = lenght x width
so = (x+12) * (x-4) = x² - 4x + 12x - 48 = x² + 8x - 48
Which expression represents the sum of (2x - 5y) and (x + y)?
A) 3x - 4y B) 3x - 6y C) x - 4y
D)
Answers
Answer:
B) 3x-6y
Step-by-step explanation:
2x+x=3x
5y+y=6y
3x-6y
Answer:
A) 3x - 4y
(2x - 5y) + (x + y)
=> 2x - 5y + x + y
=> 2x + x - 5y + y ------(arranging the like terms together)
=> 3x - 4y
Someone please help me!
Answers
Evaluate the expression for x = 8
7 x
Answers
Answer:
56 is the right answer
Step-by-step explanation:
7*8=56
Please help ⚠️⚠️ will give thanks, 5 stars and brainliest if possible.
Answers
Answer: ∠ABC = 29.745°
Step-by-step explanation:
I believe this is the answer , you should be golden.
Answer:
no se y ademas me aparece en ingles :(
Step-by-step explanation:
Use an identity to write the expression as a single trigonometric function value or as a single number. 1/4 - ((1/2)sin2(52.9))
Answers
The value of 1/4- ((1/2)sin2(52.9)) as a single trigonometrical function is \(\frac{1+sin28.4}{4}\)
How to simplify a trigonometrical function?We should understand that simplification involves reducing an expression to the lowest form that it cannot be further simplified.
The given expression is 1/4- ((1/2)sin2(52.9))
First multiply the bracket with 2 = 2*52.9 =105.8
The multiply by 1/2
⇒\(\frac{1}{4} - [\frac{1}{2}(sin2( 52.9)]\)
Rewrite as (1/4-sin105.8)÷2
Cross multiplying the expression
(1-sin211.6)÷4
Sin(240-211.4)= -sin28.4
This is because in the 3rd quadrant sin is negative
The implies (1+sin28.4)÷4
Therefore, the expression as a single trigonometric function is (1+sin28.4)÷4
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Which expression is represented by this model?
14×13=112
13×12=16
14×16=124
14×12=18
Answers
Answer:
the first one
Step-by-step explanation:
hope i helped
Answer:
a
Step-by-step explanation:
pls give brianleist
Find the term that must be added to the equation x2 4x=1 to make it into a perfect square.
Answers
The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.
What is Quadratic equation?Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. Since there is no ax2 term, the equation is linear if a = 0, not quadratic.
Why is it called a quadratic equation?This is true because the Latin word quadratum, which means "square," plus the fact that the area of a square with side length x is equal to x2, make up what is known as the quadratic (or "square-like") definition of a polynomial equation with exponent two.
According to the given information:x²+4x=1
as, the x has coefficient 4.
so,
half the coefficient of x and add and subtract the square of the remaining.
x²+4x + 2 ² - 2² =1
Now,
make the whole square term
x²+4x + 2 ² - 4 - 1=0
( x + 2)² -5= 0
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Which ordered pair is a solution to the following system of inequalities?
y < –x2 + x
y > x2 – 4
(0, –1)
(1, 1)
(2, –3)
(3, –6)
Answers
Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, \(y < -x^{2}+x\). To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
A) \(-1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}\)B) \(1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}\)C) \(-3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}\)D) \(-6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}\)Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
A) \(-1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}\)C) \(-3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}\)Therefore, the answer is (A) (0, -1).
The price of Stock A 9 AM was $12.71. Since then, the price has been increasing at the rate of $0.05 each hourAt noon the price of Stock 8 was \$13.46 . To decrease at the rate of by $0.12each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer:
4.4 hours
Step-by-step explanation:
Let the number of hours be represented as h
The price of Stock A 9 AM was $12.71. Since then, the price has been increasing at the rate of $0.05 each hour
$12.71 + $0.05 × h
12.71 + 0.05h
At noon the price of Stock 8 was \$13.46 . To decrease at the rate of by $0.12each hour.
$13.46 + $0.12 × h
13.46 - 0.12h
If the two rates continue, in how many hours will the prices of the two stocks be the same?
12.71 + 0.05h = 13.46 - 0.12h
0.05h + 0.12h = 13.46 - 12.71
0.17h = 0.75
h = 0.75/0.17
h = 4.41176470588 hours
Approximately = 4.4 hours
The prices of the two stocks be the same in 4.4 hours
Which relationship between the legs and the hypotenuse of the right triangle is correct?
Answers
Answer:
C. m^2+n^2=p^2
Step-by-step explanation:
The Pythagorean Theorem is a^2+b^2=c^2, so C is correct. This can be proven by using a triangle with the sides 3,4, and 5.
The simple interest for both 48months and 54 months option ,is 13,5%per annum .a deposit of 20% is also required for both option .calculate he balance owed
Answers
Answer:
The amount of deposit required is R37,999 for both
The percentage of purchase price for the required deposit is 20%
Therefore, deposit required=20%*R189,995
=R37,999
The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach
I=PRT
balance after payment of deposit=R189,995-R37,999
=R151,996
R=13.5% per year
T=48 months and 54 months
Interest on 48 month option=151,996*13.5%*48/12
= R82,077.84
Interest on 54 month option=151,996*13.5%*54/12
= R 92,337.57
The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest
Total payment for 48 month option=R151,996+R 92,337.57
=R 244,333.57
Total payment for 54 month option=R151,996+R82,077.84
=R 234,073.84
Hope it helped!