Answers
Answer:
x=-7
Explanation:
Given the equation:
[tex]8x-2=-9+7x[/tex]To solve equations of this form, the goal is to try to bring all the terms containing the variable (letter x or any letter) to one side of the equation and the constants to the other side.
First, subtract 7x from both sides.
[tex]\begin{gathered} 8x\textcolor{red}{-7x}-2=-9+7x\textcolor{red}{-7x} \\ x-2=-9 \end{gathered}[/tex]Next, add 2 to both sides.
[tex]\begin{gathered} x-2+2=-9+2 \\ x+0=-7 \\ \implies x=-7 \end{gathered}[/tex]The value of x is -7.
Related Questions
how do you do order of operations with negitive signs
Answers
Let's use some examples where we have order of operations and also there are negative numbers and signs involved:
Let's evaluate the following:
(-4) x 5 + (-6)
So order of operations tells us to first take care of the multiplications and after that, deal with the additions or subtractions.
So the multiplication goes first here:
(-4) times 5 = - 20
Recall that a positive number times a negative number gives alwasy a negative number. So negative times positive gives the negative sign to the multiplication, and then, once the sign is taken care of, you multiply the numbers (4 x 5 = 20)
Next, we do the indicated addition
-20 + (-6) = -20 - 6 = -26
weher again we use the property that the + times the - inside the parenthesis gives a minus. ad we finalize by doing -20 - 6 = -26 (combining of two negative numbers).
Another example:
(8 + (-5)) x (-8)
So we first work on solving what is inside the first parenthesis :
8 + (-5) this is 8 - 5 (as we did before, the plus outside the parenthesis where -5 is, results in a minus sign as it multiplies the "-" that is shown ahead of 5.
So, inside this parenthesis we get: 8 - 5 = 3
Now we are left to multiply 3 times (-8)
This is a product of a positive number (3) times a negative number (-8). Again, do the rule for product of the signs (positive times negative equals negative) , ad then the product of the numbers: 3 x 8 = 24
so the answer is - 24
Another example:
(-9) x ((-10)+ 10)
We need to start by solving the operation indicated inside the parenthesis:
(-10) + 10 This is the same as: - 10 + 10 = 0
Now, whenwe use this result in the full expression, we get:
(-9) x 0 = 0 SInce any number multiplied times zero is zero.
A random sample of 89 observations produced a mean x = 25.4 and a standard deviation s = 2.4.a. Find a 95% confidence interval for u.b. Find a 90% confidence interval for H.c. Find a 99% confidence interval for u.a. The 95% confidence interval is O.(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
Answers
The formula for the confidence interval is;
Where:
[tex]undefined[/tex]Given:
The mean is 25.4, the sample size n is 89, the standard deviation s is 2.4.
a. For the 95% confidence interval, the z-score for a 95% interval is 1.96.
Therefore, the 95% confidence interval is;
[tex]\begin{gathered} CI=25.4-1.96\frac{2.4}{\sqrt[]{89}}<\operatorname{mean}<25.4+1.96\frac{2.4}{\sqrt[]{89}} \\ CI=24.90<\operatorname{mean}<25.90 \end{gathered}[/tex]Answer: (24.90, 25.90)
b. For the 90% confidence interval, the z-score for a 90% interval is 1.645.
Therefore, the 90% confidence interval is;
[tex]\begin{gathered} CI=25.4-1.645\frac{2.4}{\sqrt[]{89}}<\operatorname{mean}<25.4+1.645\frac{2.4}{\sqrt[]{89}} \\ CI=24.98<\operatorname{mean}<25.82 \end{gathered}[/tex]Answer: (24.98, 25.82)
c. For the 99% confidence interval, the z-score for a 99% interval is 2.576.
Therefore, the 99% confidence interval is;
[tex]\begin{gathered} CI=25.4-2.576\frac{2.4}{\sqrt[]{89}}<\operatorname{mean}<25.4+2.576\frac{2.4}{\sqrt[]{89}} \\ CI=24.74<\operatorname{mean}<26.06 \end{gathered}[/tex]Answer: (24.74, 26.06)
What is the x-coordinate for point A? TO B (9.9) Sixta- 9 8 7 6 5 4 3 2. 1 A (9.3) 1 0 1 2 3 4 5 6 7 8 9 10
Answers
EXPLANATION
The coordinate for point A is x=9
The length of a rectangle is double its width. If the rectangle has a perimeter of 138cm, find its length (in cm).
Answers
Answer:
length = 46cm
Step-by-step explanation:
The length of a rectangle is double its width. If the rectangle has a perimeter of 138cm, find its length (in cm).
p = 2l + 2w
when l = 2w, substitute in to equation:
138 = 2(2w) + 2w
138 = 4w + 2w
138 = 6w
divide both sides by 6:
138/6 = 6w/6
so width = 23cm
and we know that length = 2 width so:
length = 23cm × 2
length = 46cm
Which of the following lines best fits the data shown in the scatter plot? 10 9 8 7 6 1 2 3 4 5 6 7 8 9 x Line a A С Line c Line b B. D None of the lines fit the data well
Answers
Scatter drawing plot
Two-eighths of the movies in Beth's collection are
action movies. Another of the movies are come
What fraction of Beth's movies are either action
movies or comedies?
Answers
The answer is ..
Action moviesDetermine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15. negative 1 over 3 times g plus negative 18 negative 4 over 12 times g plus negative 12 4 over 12 times g plus negative 18 16 over 12 times g plus negative 12 (BEST ANSWER WILL GET BRAINLIST)
Answers
The expression that is equivalent to the expression illustrated is 1/12g - 18.
What is an expression?It should be noted that an expression is used to show the relationship between the variables.
The expression will be illustrated as:.
= 5/4g - 3 - 7/12g - (1/3g + 15)
= 5/4g - 3 - 7/12g - 1/3g - 15
= 5/4g - 7/12g - 1/3g - 3 - 15
= 15/12g - 7/12g - 4/12g - 18
= 1/12g - 18
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Use the Multiplication Property of One to rewrite the statement.8+1=x1) = 0
Answers
We need to isolate on the equation
[tex]8+(z\times1)=0[/tex]since any number multiplied by one is the same, then z times 1 is z, so we can write
[tex]8+z=0[/tex]Now, we can add -8 to both side and get
[tex]8-8+z=-8[/tex]since 8 - 8 is zero, we have
[tex]z=-8[/tex]then, z is equal to -8.
PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!
YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!
Answers
1) [tex]VX=ZX, \angle XVY=\angle XZW[/tex] (given)
2) [tex]\angle X=\angle X[/tex] (reflexive property)
3) [tex]\triangle VXY \equiv \triangle ZXW[/tex] (ASA)
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions of 3 inches by 3 inches by 3.6 inches. The volume of the computer is. (simplify your answer. type a whole number or a decimal.)
Answers
To find the volume of the computer, we just have to multiply each coordinate.
[tex]\begin{gathered} V=3in\times3in\times3.6in \\ V=32.4in^3 \end{gathered}[/tex]Hence, the volume is 32.4 cubic inches.Solving a word problem using a system of linear equations
Answers
In order to determine the weighs of the boxes, name x as the larger box and y as the smaller one.
Then, based on the given situation, you can write the following equations:
3x + 2y = 86
8x + 4y = 209
Solve the previous system of equations as follow:
Multiply the first equation by -2 and add the result to the second equation:
(3x + 2y = 86)(-2)
-6x - 4y = -172
8x + 4y = 209
-6x - 4y = -172
2x = 37
Solve the previous equation for x by dividing by 2 both sides:
x = 37/2
x = 18.5
Next, replace the previous value of x into any of the equations of the system, for instance, into the first equation, and solve for y:
3x + 2y = 86
3(18.5) + 2y = 86
55.5 + 2y = 86
2y = 86 - 55.5
2y = 30.5
y = 30.5/2
y = 15.25
Hence, the weighs of the boxes are:
larger box = 18.5 kg
smaller box = 15.25 kg
what are the correct answers for each blank using the dropbox's provided for each blank?Dropbox 1: Congruent, Similar, Not congruent or similarDropbox 2: Proportional, Not proportional, CongruentDropbox 3: Proportional Not proportional, Congruent
Answers
The pair of triangles shown are similar because the sides are proportional and corresponding angles are congruent.
The lines shown below are parallel. If the green line has a slope of 5, what isthe slope of the red line?.O A.OB. 55O C.C. -//OD. -5(1)→
Answers
The slope of the red line is 5. The correct answer is option B. 5
Two parallel lines, always have the same slope. Since the green and red line are parallels and the green line has slope 5, the slope of the red line is also 5.
If OA-OB-OC and if AOB = 9x + 20, BOC = 7x - 6 and AOC = 142 find BOC
Answers
The angle BOC has a measure of 50 degrees
How to evaluate the measure of the angle?From the question, the given parameters about the angles are:
OA-OB-OCAOB = 9x + 20BOC = 7x - 6AOC = 142The above parameters implies that
AOC = AOB + BOC
Next, we substitute the angle measurements in the above equation
So, we have
142 = 9x + 20 + 7x - 6
Evaluate the like terms
So, we have the following equation
142 = 16x + 14
Evaluate the like terms again
So, we have the following equation
16x = 128
Divide both sides by 16
x = 8
Substitute x = 8 in BOC = 7x - 6
BOC = 7 x 8 - 6
Evaluate
BOC = 50
Hence, the measure of the angle is 50 degrees
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Please help Me I really need this !!!
Answers
Step-by-step explanation:
Original Equation:
[tex]x^2+5=0[/tex]
Subtract 5 from both sides
[tex]x^2 = -5[/tex]
Take the square root of both sides
[tex]x=\pm\sqrt{-5}[/tex]
Simplify
[tex]x=\pm i\sqrt{5}[/tex]
Thus we have two non-real solutions, and zero real solutions. This implies that the graph will never cross the x-axis when graphing the function out, because it has no real solutions.
write an email as if
you wanted to set up
an interview with
someone
Answers
Answer:Dear Mikey,
I saw your progress on how to serve the best food and we wanted to see if you could help us or join our company if you want.
Call 923-456-2483
Sincerely Johns Bagel Company
Step-by-step explanation:
The graph of g(x) shown below has the same shape as the graph of f(x)=x2 but it is shifted right by 5 units write the equation for g(x)please help me!! :(
Answers
f(x)= x^2
To shift 5 units to the right subtract 5 to x .
g(x)= (x-5)^2
Rashida was given 48 problems for homework. she has worked out 7/12 of them. how many more left unsolved
Answers
Answer:
she has left 28 unsolved problem or whatever it is
Step-by-step explanation:
48:12=4
4x7=27
An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?
A. 1 in. : 2.5 ft.
B. 1 in. : 25 ft.
C. 1 in. : 62 ft.
D. 1 in. : 62.5 ft.
Answers
Answer it is c because when you multiply 12 x 5 you get 60 right so round up to the nearest number 62 an u can't subtract or divide you won't get a or b
Select all equations that represent this tape diagram.
Answers
The equations that represent the diagram given are 7 + 8h = 167, 8h = 160
Equation that represent the diagramTo find the equation that represent the situation, we should simply count the number h present in the diagram, add it to 7 and equate the entire length to 167 which is the length of the tube.
This can be represented mathematically as
[tex]7 + h + h + h + h + h + h + h + h = 167[/tex]
we can simplify this further as
[tex]7 + h + h + h + h + h + h + h + h = 167\\7 + 8h = 167\\[/tex]
This can also be simplified as
[tex]7 + 8h = 167\\8h = 167 - 7\\8h = 160[/tex]
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order the following number from smallest to largest. 25, 10, -15, 0, -5
Answers
Answer:
-15, -5, 0, 10, 25
Step-by-step explanation:
Answer:-
15, -5, 0, 10, 25
Least -> greatest
Step-by-step explanation:
Suppose that a population has a mean of 200 and a standard deviation of 26. a. Compute the standard error of the sample mean for a sample size of 10.
Answers
Given:
Mean = 200
Standard deviation = 26
a) Find the standard error for a sample size of 10:
[tex]E=\frac{\sigma}{\sqrt{N}}[/tex]Substitute the values:
[tex]E=\frac{26}{\sqrt{10}}=8.22[/tex]Answer: 8.22
Emily is a sales representative. She receives 7% commission on all sales. At the end of the year she receives a bonus of 5% of her commission. If Emily's sales for the year total $412,454, calculate: 1) 7% Commission on Sales 2) 5% Bonus on Commission 3) Total Gross Pay for the year 4) Monthly Income
Answers
start by calculating the 7% of all the sales
[tex]\begin{gathered} \text{Comission}=(0.07)\cdot412,454 \\ \text{comission}=28,871.78 \end{gathered}[/tex]Calculate the bonus from the comission
[tex]\begin{gathered} \text{Bonus}=(28,871.78)\cdot(0.05) \\ \text{Bonus}=1,443.59 \end{gathered}[/tex]The total gross pay will be the addition between the comission and bonus
[tex]\begin{gathered} G.\text{ Income=28,871.78+1,443.59} \\ G\text{. income=30,315.37} \end{gathered}[/tex]The monthly income will be the division between 12 months of the year
[tex]\begin{gathered} \text{Monthly income} \\ \frac{30,315.37}{12}=2526.28 \end{gathered}[/tex]Polygon BCDE ≅ polygon RSTU. Find the value of X and the value of Y
Answers
By comparing both polygons, we can tell that they are not the same polygon, since one of the sides has length 11 in one trapezoid and 12 in the other. So, this polygons are similar. We notice that the variables X and Y are part of the angles. In polygons that are similar, the measure of the homologous angles are equal. By homologous we mean angles that are located at the same place in both figures. To determine the homologous angles, we should have both figures drawn in the same orientation. To do so, we will flip the trapezoid on the left, so its orientation matches the one fromt the right. I picture of this flipping would be
From this picture, by comparing it to the other polygon, we determine that the angle EDC is homologous to the angle UTS. So, their measure should be the same. So, we get the following equation
[tex]2y\text{ - 37 = }y+2[/tex]By adding 37 on both sides and subtracting y on both sides, we get
[tex]2y\text{-y = +2 +37 = 39}[/tex]This implies that y = 39°.
By doing the same procedure, we find that the angles URS and CBE are homologous. So their measures are equal and we get the equation
[tex]51\text{ = }2x+13[/tex]Then, by subtracting 13 on both sides
[tex]2x\text{ = 51-13 = 38}[/tex]If we divide both sides by 2 we get
[tex]x=\frac{38}{2}=19[/tex]So x = 19°.
Select the correct answer from the drop-down menu.Find the solution set for the system of equations.
Answers
Given:
9x+5y=28
5x+9y=56
Required:
To calculate the solution of the system
Explanation:
Rearrange like terms to the same side of the equation
[tex]\begin{gathered} 5x=28-9x \\ \\ 5x+9y=56 \\ \\ y=\frac{28-9x}{5} \\ \\ 5x+9y=56 \\ \\ substitute\text{ in the equation } \\ \\ 5x+9\times\frac{28-9x}{5}=56 \\ \\ x=\frac{-1}{2} \end{gathered}[/tex][tex]\begin{gathered} substitute\text{ value in y} \\ \\ y=\frac{28-9\times(\frac{-1}{2}}{5} \\ \\ y=\frac{13}{2} \end{gathered}[/tex]Required answer:
Option B
Name The Transformations Y=(x+3)^2-5
Answers
Answer: move three units to the left, and 5 units down would be the answer to it
Step-by-step explanation: hope i helped
If a Ferrari, with an initial velocity of 10 km/h, accelerates at a rate of 50 km/h/min for 3 minutes, what will its final velocity be (in km/h)?
Answers
The final velocity of the Ferrari will be 84.53 km/h. with an initial velocity of 10 km/h, accelerates at a rate of 50 km/h/min for 3 minutes.
This is a typical question from Newtonian mechanics. To solve this problem we have to convert all the given data into a standard unit like C.G.S.
Now, we will convert 10 km/h and 50 km/h by using the formula. (km/h × 5/18 = m/s )
10 km/h = 10× 5/18 = 2.78 m/s
50 km/h = 50× 5/18 = 13.89 m/sec/min = 0.23 m/s²
3 min = 3 × 60 = 180 sec. ( 1 min = 60 sec )
Now, we have to use the formula from Newton's law of motion,
v = u + at/2 .
Here, u is the initial velocity which is 2.78 m/s.a is the acceleration which is 0.23 m/s²t is the period which is 180 sec. v is the final velocity.Now we can calculate the final velocity,
v = 2.78 + (0.23 × 180)/2 = 2.78 + 20.7 = 23.48 m/s
Now, we have to calculate the velocity in km/h, which is (23.48 × 5 )/8 = 84.53 km/h. as we know (km/h = m/s ×18/5 ).
Therefore, the final velocity will be 23.48 m/s according to the given inputs and criteria.
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True or false?
When prices increase supply decreases.
Answers
Answer:
The answer to your question is:
False.
Step-by-step explanation:
If prices increase, then no one would want to buy the product. No one would come.
Therefore, the correct answer is;
When prices increase, supply decreases.
write the missing power of 10 in the exponential form…….*0.006=0.6
Answers
Answer:
10 to the second power
[tex]10^2[/tex]Explanation:
Let the unknown value be x
The given expression can be rewritten as:
[tex]x\times0.006=0.6[/tex]Express as a fraction;
[tex]\begin{gathered} x\times\frac{6}{1000}=\frac{6}{10} \\ \frac{6x}{1000}=\frac{6}{10} \\ \end{gathered}[/tex]Cross multiply
[tex]\begin{gathered} 6x\times10=6\times1000 \\ 60x=6000 \\ x=\frac{6000}{60} \\ x=100 \\ x=10^2 \end{gathered}[/tex]Hence the required unknown number in the exponential power of 10 is 10^2
Sarah needed to get her computer fixed. She took it to the repair store.
The technician at the store worked on the computer for 4.25 hours and
charged her $54 for parts. The total was $585.25. Write and solve an
equation which can be used to determine x, the cost of the labor per
hour.
Answers
The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Given that,
x is the labor cost per hour.
The technician worked on the computer for 4.25 hours.
Total labor cost = 4.25x
The total parts cost = $54
The total charged cost = total parts cost + total labor cost
585.25 = 54 + 4.25x
4.25x + 54 = 585.25
Hence "The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25".
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