The result of the algebraic expression is 5x - 2y - 10.
Algebraic Expression:
An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Given,
Here we have the expression 2+4x-12-2y+1x.
Here we have to solve this expression and we have also find simplified form of it.
In order to solve it,
First we have to write the given expression,
=> 2+4x-12-2y+1x
Now, we have to combine the like terms, then we get,
=> (4x + 1x) + (2 - 12) - 2y.
Now, we have to perform the appropriate operation on it,
Then it can be written as,
=> 5x + (-10) - 2y
Now we have to write the equation in the standard form, then we get the result as,
=> 5x - 2y - 10.
Therefore, the resulting standard form of the equation is 5x - 2y - 10.
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If 4 < a < 5 and 5 < b < 8, which of the following best describes a-b?
a) between -4 and -8
b) between -4 and 0
c) between 2 and 3
d) between -1 and 0
I don't know how to do this, so pls explain how to do it :)
When 4 < a < 5 and 5 < b < 8, the option that best describes a-b is B) between -4 and 0. This illustrates the equation.
How to calculate the value?From the information illustrated, 4 < a < 5. In this case, a can be 4.5. This implies that a is greater than 4.
Also, 5 < b < 8. In this case, b can be 7.5. Therefore, the difference between the values can be:
a - b
= 4.5 - 7.5
= -3
This number is between -4 and 0. In conclusion, the correct option is B.
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If given inequalities are 4 < a < 5 and 5 < b < 8, then a-b lies between -4 and 0. So Option B is correct.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Let us consider a inequality
4 < a < 5
By this inequality we have
a<5
a>4
So value of a lies between 4 and 5 which is a= 4.5.
5<b<8
b<8 and b>5
So values of b will be 6, 6.5 , 7 and 7.5.
Let us consider value 6.5 as b.
a-b
=4.5-6.5
=-2
This number a-b is between -4 and 0.
Hence if 4 < a < 5 and 5 < b < 8, then a-b lies between -4 and 0.
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Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? +3(4-1) - 7 + 2³ Step 1: = // +3(3) - 7 + 2³ Step 2: = + 3(3) 7 + 8 Step 3: = Step 5: Step 6: = Step 4: = O A. B. - O c. O D. S 15 (3) 7 + 8 45 - 7 + 8 31+8 Step 5 Step 4 Step 1 Step 3 A
Answer:
Step 3
Step-by-step explanation:
The mistake was made in Step 3.
aMathWhich of the following shows the solution and graph to the inequality2x + 1 s 15?
Answer:
[tex]\text{ Option }\Rightarrow\text{ D}[/tex]Explanation: We need to find the answer to the inequality
[tex]2x+1\leq15[/tex]Solution:
[tex]\begin{gathered} 2x+1\leq15 \\ 2x\leq15-1 \\ \therefore\Rightarrow \\ 2x\leq14\rightarrow2x\leq\frac{14}{2} \\ x\leq7 \end{gathered}[/tex]Graph:
The solution as found through solving inequality and demonstrated in the graph is
[tex]\text{ is Option D}[/tex]Do You Like Guns N' Roses, If So, What Is Your Favorite Song?
Answer:golden hour by JVKE
Step-by-step explanation:
Find the value of a. Enter a numeric answer only.
Solution
For this case we have the following, the sum of the angles needs to be 360 since we have a circumference:
10a-4 +6a-2 +8a+6=360
Regrouping we have:
10a +6a +8a -4 -2 +6= 360
24a= 360
a= 360/24= 15
Would you use circumference
or area to solve the following problem?
Your math teacher bakes a round pizza with a 4 foot
diameter to share with the class. You need to tell your teacher how many square feet?
are available to enjoy the Pizza Pi.
Answer: You always use circumference if you are talking about a round object.
Which number sentence is true? A. |10| < 1.0 B. |0| = 0 C. |-47| < |-30| D. |-100| < |0|
The second option (B) that is I0I = 0 is true.
This is a question of modulus.
Let us check all the options to find which one is true.
Let us check for A.
A. I10I < 0
We know that,
I10I = 10 > 0
Hence, this option is false.
Let us check for B.
B. I0I < 0
We know that,
I0I = 0 = 0
Hence, this option is true.
C. I-47I < I-30I
We know that,
I-47I = 47 and I-30I = 30
47 > 30
Hence,
I-47I > I-30I
Hence, this option is false.
D. I-100I < I0I
We know that,
I-100I = 100 and I0I = 0
100 >0
Hence,
I-100I > I0I
Hence, this option is false.
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A rectangular garden has a length that is 3 feet longer than its width. Let represent the width of the garden, in feet. The entire garden is surrounded by a 2-foot wide cement walkway. What does the algebraic expression ( w + 4) (w + 7) represent in this context?
HIghschool Alegbra 1
Expression ( w+4)(w + 7) represent the total area of the garden and walkway.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that the width of the garden, in feet be w.
The length is 3 feet longer than its width, hence: w + 3
The entire garden is surrounded by a 2-foot-wide cement walkway. Therefore:
garden and walkaway length= (w + 3) + 2 + 2 = w + 7
garden and walkaway width = w + 2 + 2 = w + 4
The area of garden and walkaway
= length times of width
=Length × Width
= (w + 7)(w + 4)
Hence expression ( w+4)(w + 7) represent the total area of the garden and walkway
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a television program director has 14 shows available for monday night but can choose only 5 shows. how many different possible combinations are there?
There are 240240 possible permutations of choosing 5 shows from 14 available shows. It can be obtained by applying the formula of permutation.
What is permutation?
In mathematics, it is the number of ways in which given number of items can be arranged in different orders.
Here, we need to select 5 iteams from the given 14 iteams.
[tex]P(14,5)=\frac{14!}{(14-5)!}\\=\frac{14!}{(9!)}\\=\frac{(14)(13)(12)(11)(10)(9!)}{(9!)}\\=(14)(13)(12)(11)(10)\\=240240[/tex]
Hence, there are 240240 possible permutations of choosing 5 shows from 14 available shows.
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help me if you love Markiplyer and want to see his OF
It is to be noted that, given the dilation factor stated above, the coordinates of S' is (4, 3).
What is a dilation in math?The mathematical Definition of Dilation is given as a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
The computation for the above result is given as follows:
Given that RST has vertices R(0,0), S(6, 3), and T(3, -3); and
The image R'S'T' is the image of RST after a dilation with center (0,0) with scale factor 2/3,
We must determine the coordinates of point S'.
The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor 2/3.
Let us look at x- coordinate with point S and multiply it with the scale factor of 2/3.
we have: 6 x 2/3 = 4
Hence, x- coordinate for S' = 4
Redo for Y
3 x 2/3 = 3
Hence, y- coordinate for S' = 3
Hence the coordinates of S' is (4, 3).
Hence having applied the principle of dilation, the coordinates of S' are (4,3)
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María compro dos boletos para una rifa con dis números
rosa compró 4 boletos calcular la
probabilidad de cada una de ganar
Answer:
translate to eng
Step-by-step explanation:
can you help mw with my work?
In this problem the function that models the hight is:
[tex]h(t)=-5t^2+14t+3[/tex]So when the water hits the grownd h=0 so we replace that and solve for t so:
[tex]0=-5t^2+4t+3[/tex]To solve this expression we can use the cuadratic equation:
[tex]x=\frac{-4\pm\sqrt[]{16-4(-5)(3)}}{-10}[/tex]and we operate so:
[tex]\begin{gathered} x=\frac{-4\pm\sqrt[]{76}}{-10} \\ x=\frac{-4\pm8.7}{-10} \end{gathered}[/tex]Now we solve bout of the equation so:
[tex]\begin{gathered} x_1=\frac{-4+8.7}{-10}=-0.47 \\ x_2=\frac{-4-8.7}{-10}=1.27_{} \end{gathered}[/tex]So the answer that have sense is the secon one so the water hits the ground after 1.27 seconds
A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books.
Book Preference
Print Electronic
Youths 34 40
Adults 38 28
What percent of the youths surveyed prefer reading electronic books? Round your answer to the nearest tenth of a percent.
If a survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. The percent of the youths surveyed prefer reading electronic books is: 54%
How to determine the percentage?Given data:
Youth book preference
Print = 34
Electronic = 40
Now let determine the percentage using this formula
Total = Print + Electronic book
Total = 34 +40
Total = 74
Now let determine the percentage of youth that preferred reading electronic book which is calculated as :
Percentage = 40 / 74
Percentage = 0.54 × 100
Percentage = 54 %
Therefore we can conclude that 54% like to read electronic book.
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(x^4/7^-8)^7
Solve asap pls
Answer: x=2
Step-by-step explanation: (x^4/7^-8 )^7
(4x/-56)^7 (7×8=56)
4x/-8
x/-2
x = 2
Write an exponential function in the form y and (2,171). ab that goes through points (0,19)
The exponential function has the following form:
[tex]y=a\cdot b^x[/tex]The function goes through the points ( 0, 19) and ( 2, 171 )
We will use the points to find the values of a and b
[tex]\begin{gathered} x=0\rightarrow y=19 \\ \\ 19=a\cdot b^0 \\ b^0=1 \\ a=19 \end{gathered}[/tex]Substitute with the point ( 2, 171 ) and the value of a to find b
[tex]\begin{gathered} x=2\rightarrow y=171 \\ a=19 \\ \\ 171=19\cdot b^2 \\ \\ b^2=\frac{171}{19}=9 \\ \\ b=\sqrt[]{9}=3 \end{gathered}[/tex]So, the answer will be:
[tex]y=19\cdot3^x[/tex]5) Naomi painted 16.5 square feet of a mural at a rate of 2 square feet per hour. Calire painted 7.5 square
feet of the mural at a rate of 4 square feet per hour. If they continue to paint at the same rates, how many
more hours will it take until Naomi and Claire have painted equal areas of the mural?
Answer: 4.5
Step-by-step explanation:
We need to find the amount of time until Calire paints a total of 9 more square feet.
Since the difference in their rates is 2 square feet per hour, it will take 9/2 = 4.5 more hours.
Morgan can make 4 cupcakes with 1 cup of flour. How many cupcakes can she make with 18 cups of flour?
Answer: She can make 72 cupcakes.
Step-by-step explanation:
To mail a letter to Vienna, Austria the post office charges a flat rate of $5.50 and an additional $0.25 for every ounce the letter weighs. The cost of mailing a letter is
determined by the equation y = 0.25x + 5.50, where y is the cost of the postage and x is the weight of the letter in ounces.
Step 1 of 2: Graph the equation by finding two points that satisfy the equation and plotting them on the graph. To plot a point, click on the appropriate position on
the graph. You may move a point by clicking and dragging.
Answer:
Step-by-step explanation:
See attached graph
Two pints selected are:
2 packages = $6
5 packages = $6.80
If z = 1 istartroot 3 endroot, what is z5? 16 16istartroot 3 endroot â€"16 16istartroot 3 endroot 16 â€" 16istartroot 3 endroot â€"16 â€" 16istartroot 3 endroot
Complex number z has a power of 5 represented by (-16√3 + 16) + 4(-√3 + 3)i
Given that,
z = 1 + StartRoot 3 EndRooti, what is z5? 16 + 16StartRoot 3 EndRoot i –16 + 16StartRoot 3 EndRoot i –16 – 16StartRoot 3 EndRoot i 16 – 16StartRoot 3 EndRoot i
What is a complex number?
It is characterized as a number that can be expressed as x+iy, where x is a real number or the real portion of the complex number, y is the imaginary portion of the complex number, and I is the iota, which is just the square root of -1.
We have:
z = 1 + √3i
We have to find: z⁵
z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)
z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)
z⁵ = (-16√3 + 16) + 4(-√3 + 3)i
Therefore, the complex number z's power of 5 is -16√3 + 16) + 4(-√3 + 3)i
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Which of the following statements is a valid polynomial identity?
Statement 1: x3 + 27 = (x + 3)(x2 − 3x + 9)
Statement 2: x3 + 27 = (x − 3)(x2 + 3x + 9)
a
Only statement 1 is valid.
b
Only statement 2 is valid.
c
Statement 1 and statement 2 are valid.
d
Statement 1 and statement 2 are invalid.
Answer:
the answer is C :) good luck
in your own words explain angle addition postulate
This postulate tells us that when we put two angles side by side with a ray touching the ray of the other angle, we are creating a new angle which is the addition of the two, and whose measure is the addition of the measures of the two angles we are contacting via a common ray.
shelly wants to tile a rectangular floor that measures 132 feet by 150 feet using square tiles that are all of the same size, with no overlap and no squares hanging over the edge. what is the measurement of the largest square tiles she can use?
The measurement of the largest square tiles she can use is 6 feet.
Finding all common factors between two numbers and choosing the biggest one yields the highest common factor (HCF). For instance, the numbers 8 and 12 share the elements 1, 2, and 4. Four is the greatest common factor.
Steps for calculating HCF:
Step 1: Write each integer as the sum of its prime factors in step one.
Step 2: List the shared factors between the two numbers.
Step 3: The HCF is the sum of all the common prime factors ( use the lower power of each common factor)
Given,
Measurement of the rectangular floor:
length = 150 feet
breadth = 132 feet
The measurement of the largest square can be calculated by finding the HCF of 132 and 150.
132 = 2*2*3*11
150 = 2*3*5*5
So, HCF (132, 150) = 2*3 = 6.
Hence, the measurement of the largest square tiles she can use is 6 feet.
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1 billion, 1 million compare and give the factor
Answer:
1000000
Step-by-step explanation:
100000000: 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5
100000: 2 2 2 2 2 5 5 5 5 5
GCF: 2 2 2 2 2 5 5 5 5 5
The Greates Common Factor (GCF) is: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 = 100000
when the sun is 5 degrees above the horizon, how long will the shadow nof a 35ft tree be ?
tan 5 = x / 35
0.0874 = x / 35
cross- mulltiply
x = 35 x 0.0874
x = 3 . 059 = 3. 06 feet
6. There were a total of 139 points scored in the basketballgame. The Falcons scored (9x+22) and the Mavericks scored(16x - 8). What was the Falcons score for the game?
The total score in the basket game = 139
Falcons score = 9x + 22
Maverick score = 16x - 8
Therefore,
139 = 9x + 22 + 16x - 8
collect like term
139 - 22 + 8 = 9x + 16x
125 = 25x
divide both sides by 25
x = 125/25
x = 5
Falcons score = 9x + 22
Falcons score = 9(5) + 22
Falcons score = 45 + 22
Falcons score = 67
8. 6w — 8z = 16
3w — 4z = 8
Substation
Let the two equations be 6w — 8z = 16 and 3w — 4z = 8
Then the equation be
[tex]$6 \cdot w-(8 \cdot z)-16=0$[/tex]
To estimate the value of w, we get
[tex]$6 \cdot w=-(-8 \cdot z-16)=6$[/tex]
simplifying the above equation, we get
[tex]$w=\frac{(-(-8 \cdot z-16))}{6}$[/tex]
[tex]$w=\frac{(16-(-8 \cdot z))}{6}$[/tex]
We insert the solution into one of the initial equations of our system of equations We get a system of equations:
[tex]$3 \cdot\left(\frac{(16-(-8 \cdot z))}{6}\right)-(4 \cdot z)-8=0 \\[/tex]
Therefore, the value of
[tex]$w=\frac{(16-(-8 \cdot z))}{6}[/tex]
If the two equations be 6w — 8z = 16 and 3w — 4z = 8 then the system of equations has infinitely many solutions.
How to estimate the value of w?Let the two equations be 6w — 8z = 16 and 3w — 4z = 8
Then the equation be
[tex]$6 \cdot w-(8 \cdot z)-16=0$[/tex]
To estimate the value of w, we get
[tex]$6 \cdot w=-(-8 \cdot z-16)=6$[/tex]
simplifying the above equation, we get
[tex]$w=\frac{(-(-8 \cdot z-16))}{6}$[/tex]
[tex]$w=\frac{(16-(-8 \cdot z))}{6}$[/tex]
We insert the solution into one of the initial equations of our system of equations We get a system of equations:
[tex]$3 \cdot\left(\frac{(16-(-8 \cdot z))}{6}\right)-(4 \cdot z)-8=0 \\[/tex]
Therefore, the value of
[tex]$w=\frac{(16-(-8 \cdot z))}{6}[/tex]
[tex]$&\frac{(3 \cdot(8 \cdot z+16))}{6}-4 \cdot z-8=0 \\[/tex]
simplifying the above equation, we get
8 - 8 = 0
0 = 0
The system of equations has infinitely many solutions.
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Assume that blood pressure readings are normally distributed with a mean of 125 and a standard deviation of 8 if 100 people are randomly selected find the probability that their mean blood pressure will be less than 127
According to the normal distribution table, the probability that their mean blood pressure will be less than 127 is 99.38%.
Given :
Blood pressure readings are normally distributed with a mean of 125 and a standard deviation of 8.
The formula of z-score is used to determine the probability that their mean blood pressure will be less than 127. The formula of z score is given by:
[tex]z = \frac{\frac{x - m}{\alpha } }{\sqrt{n} }[/tex]
Now, substitute the values of known terms in the above equation.
[tex]z = \frac{\frac{127 - 125}{8} }{\sqrt{100} }[/tex]
[tex]z = \frac{\frac{2}{8} }{10} }[/tex]
Further, simplify the above expression.
z = 2.5
P(z < 2.5) = 0.9938
So, the probability is 99.38%.
Therefore, according to the normal distribution table, the probability that their mean blood pressure will be less than 127 is 99.38%.
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The new figure that is produced in a transformation is called the
Let:
[tex]\begin{gathered} P=(x1,y1)=(-3,4) \\ P^{\prime}=(x2,y2)=(4,0) \end{gathered}[/tex][tex]\begin{gathered} x1+a=x2 \\ -3+a=4 \\ so\colon \\ a=4+3 \\ a=7 \\ ---- \\ y1+b=y2 \\ 4+b=0 \\ b=-4 \end{gathered}[/tex]Therefore:
[tex](x,y)\to(x+7,y-4)[/tex]Help please I will give brainliest
The unknown angle in the triangle is as follows;
∠H = 38 degrees.How to find angles in a triangle?The angle H can be found using the exterior angle theorem.
The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Hence,
∠DFG = ∠G + ∠H
∠DFG = 14x + 1
∠G = 89°
∠H = 5x - 7
14x + 1 = 89 + 5x - 7
14x + 1 = 89 - 7 + 5x
14x - 5x = 89 - 7 - 1
9x = 81
divide both sides by 9
x = 81 / 9
x = 9
Therefore,
∠H = 5(9) - 7 = 45 - 7 = 38 degrees.
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The total weight of three bean bags is 6.8 kg. Bag A weighs 1.5 kg more than Bag B. Bag C weighs 500 g more than Bag A. Calculate the weight of Bag B (will give brainliest and 50 points
Answer: 1.6 kg
Step-by-step explanation:
Let the weight of bag B in kg be B.
Then, Bag A weights B+1.5 and bag C weighs B+0.5.
[tex]B+1.5+B+0.5+B=6.8\\\\3B+2=6.8\\ \\ 3B=4.8\\\\B=1.6[/tex]
