Answer:
x = - 4
Step-by-step explanation:
Given
8x - 3 = 5(2x + 1) ← distribute
8x - 3 = 10x + 5 ( subtract 10x from both sides )
- 2x - 3 = 5 ( add 3 to both sides )
- 2x = 8 ( divide both sides by - 2 )
x = - 4
Answer:
x = - 4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 5 × 2x + 5 × 1
8x - 3 = 10x + 5
8x - 10x = 3 + 5
- 2x = 8
2x = - 8
x = (- 8)/2
x = - 4
Thus, The value of x is -4
-TheUnknownScientist
Solve this simultaneous e
x + y = 26
3x + y = 56
Answer:
x= 15 and y= 11
Step-by-step explanation:
The goal here is to solve
x + y =26 and
3x + y =56 for the variables x and y.
First, let's work on your first equation, x + y =26
After this initial survey of the equations, the system of equations we'll set out to solve is:
x+y = 26 and 3x+y = 56
Let's start by solving x+y = 26 for the variable x.
Move the y to the right hand side by subtracting y from both sides, like this:
From the left hand side:
y - y = 0
The answer is x
From the right hand side:
The answer is 26-y
Now, the equation reads:
x = 26-y
To isolate the x, we have to divide both sides of the equation by the other variables
around the x on the left side of the equation.
and this is the final solution to your equation.
Next, let's solve 3x+y = 56 for the variable y.
Move the 3x to the right hand side by subtracting 3x from both sides, like this:
From the left hand side:
3x - 3x = 0
The answer is y
From the right hand side:
The answer is 56-3x
Now, the equation reads:
y = 56-3x
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
and this is the final solution to your equation.
Now, plug the earlier result, x=26-y, in for x everywhere it occurs in
y=56-3x.
This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.
26-y evaluates to 26-y
Multiply 3 by 26-y
we multiply 3 by each term in 26-y term by term.
This is the distributive property of multiplication.
Multiply 3 and 26
1
3 × 26 = 78
Multiply 3 and -y
Multiply 1 and y
The y just gets copied along.
y
3 × -y = -3y
3*(26-y) evaluates to 78-3y
56 - 78 = -22
The answer is -22+3y
56-3*(26-y) evaluates to -22+3y
Move the 3y to the left hand side by subtracting 3y from both sides, like this:
From the left hand side:
y - 3y = -2y
The answer is -2y
From the right hand side:
3y - 3y = 0
The answer is -22
Now, the equation reads:
-2y = -22
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
The last step is to divide both sides of the equation by -2 like this:
To divide y by 1
The y just gets copied along in the numerator.
The answer is y
-2y ÷ -2 = y
-22 ÷ -2 = 11
The solution to your equation is:
y = 11
Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=26-y.
This gives x=26-(11). Now, simplify this.
26-(11) evaluates to 15
x= 15
So, the solutions to your equations are:
x= 15 and y= 11
Answer:
(15, 11 )
Step-by-step explanation:
Given the 2 equations
x + y = 26 → (1)
3x + y = 56 → (2)
Subtract (1) from (2) term by term to eliminate y, that is
2x = 30 ( divide both sides by 2 )
x = 15
Substitute x = 15 into either of the 2 equations and solve for y
Substituting into (1)
15 + y = 26 ( subtract 15 from both sides )
y = 11
solution is (15, 11 )
In August, the Simons' water bill was $48. In September, it was $50. Calculate the percent increase and round to the nearest percent?
41%
400%
40%
4%
Answer:foooo
Step-by-step explanation:
if it takes 42 strokes to fill up 3/5 of line of typing , how many more strokes will it take to complete the line?
Answer:
28 more strokesStep-by-step explanation:
42 strokes = 3/5 of line
Divide both by 3/5
42 : 3/5 strokes = 1 line42*5/3 strokes = 1 line70 strokes = 1 line70 - 42 = 28 more strokes to complete the line
For exercises 16-18 , trace each figure and draw its rotated image
Four customers at a grocery store are buying apples. The table shows how many pounds of apples each customer bought and how much each customer paid.
After the previous four customers, another customer, Timothy, spent $28.00 buying apples.
We can determine that Timothy bought ------------
of apples.
A: 11
B: 12
C: 14
D: 16
Which ordered pairs match the graph?
(0, 0), (2, 2), (2, 3), (2, 4), (3, 3.5)
(0, 0), (0, 2.5), (2, 2), (2, 3), (2, 4)
(0, 0), (1, 1), (2, 2), (3.5, 4), (2, 0)
(0, 0), (1, 3.5), (2, 3), (2, 2), (3, 2)
Answer:
We can't see the graph i can help if you insert it
Step-by-step explanation:
Stacy invested $3400 at 18%
Answer:
So?
Step-by-step explanation:
Jack has the following scores on exams in his math class 81, 87 93, 89, 61 81 If he wants to make his performance sound as good as possible, which measure should he use the mean, the median, or the mode of his exam grades when he talks about how he is doing? Explain In you response, make sure to a calculate the mean, o calculate the median, and c calculate the mode of his exam grades D compare and pick the measure that makes his performance sound as good as possible. plz explain
Answer:
mean is 82, Median is 84, mode is 81
Step-by-step explanation:
The mean of the given data set is 82, median is 84 and mode is 81.
The given data set is 81, 87 93, 89, 61, 81.
What is the median?The median is the value that's exactly in the middle of a dataset when it is ordered.
Now, the ordered pair is 61, 81, 81, 87, 89, 93.
Median = (81+87)/2
=168/2
=84
Mean = Sum of all the observations/Number of observations
= (61 + 81 + 81 + 87 + 89 + 93)/6
= 492/6
= 82
Mode = The mode is the value that appears most frequently in a data set.
Here, 81 is the most frequently in the given data set.
Therefore, the mean of the given data set is 82, median is 84 and mode is 81.
To learn more about the arithmetic mean visit:
https://brainly.com/question/23706022.
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What are the possible degrees for the polynomial function?
Answer:
and "Bumps"
Purplemath
Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.
I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".
For instance, the following graph has three bumps, as indicated by the arrows:
y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0
what does the dot (.) stand for in math
Answer:
The dot is called a decimal. Its what separates the whole number and the fraction of the number.
Step-by-step explanation:
For example, 0.5 is saying half, or 50 out of 100.
What is the length of AB?
O A. 9
O B. 18
O C. 48
D. 6
=====================================================
Explanation:
Draw in the segments AO and OC.
Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.
Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.
Then we can say:
AB+BC = AC .... segment addition postulate
AB+AB = AC .... plug in BC = AB
2*AB = AC
2*AB = 18
AB = 18/2 .... divide both sides by 2
AB = 9
In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.
Need help with algebra homework, and pls show me how u got the answers.
Answer:
mathaway
Step-by-step explanation:
you should use Mathaway it helps with algebra and shows step to step
Answer:
نرظ ثثؤ ٦8٨
Step-by-step explanation:
ظننتت تربية
NEED HELP ASAP!!!! 15POINTS!
Factor k^2 - 81.
(k + 9)(k + 9)
(k - 9)(k - 9)
(k - 9)(k + 9)
Answer:
(k +9)(k - 9)
Step-by-step explanation:
a² - b² = (a + b)(a -b)
k² - 81 = k² - 9²
= (k +9)(k - 9)
I need help for this question, also please shhowthe working out.
Answer:
Her weekly wage is $1150.
Step-by-step explanation:
It is given that,
Grace spent 16% of her weekly wage on a new bookshelf that cost $184.
We need to find her weekly wage.
Let her weekly wage is x.
ATQ,
[tex]16\%\ of\ x=184\\\\x=\dfrac{184}{16\%}\\\\=\dfrac{184}{\dfrac{16}{100}}\\\\=\$1150[/tex]
So, her weekly wage is $1150.
NEED HELP WIT DIS ASAP PLS ITS THE FINAL
Answer:
it's a or c
Step-by-step explanation:
I can’t find the answer please help
Answer: A
Step-by-step explanation:
81 - 1 1/5x [tex]\leq[/tex] 55 The first thing you could do is convert the mixed fraction into an improper fraction.
1 1/5 to an improper fraction is -6/5
Now rewrite the inequality as,
81 - 6/5x [tex]\leq[/tex] 55 Subtract 81 from both sides
-81 -81
-6/5x [tex]\leq[/tex] -26 Multiply both sides of the inequality by 5
-6x [tex]\leq[/tex] -130 Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.
x ≥ 130/6 Convert 130/6 to a mixed fraction
x ≥ 21 2/3
30 points it is timed please it is due by 11:10 eastern time
Answer:
1. >
2. <
3. =
4. >
5. >
6. =
7. <
8. <
9. =
10. <
11. >
12. >
13. <
14. =
15. >
16. <
17. >
18. <
19. yes
20. yes
21. yes
22. 2/3, 0.65, 63%
23. 98.5%, 0.98, 7/8
24. 0.2, 1/12, 2%
25. The Pitchers for the visiting team
26. School Bus, Family Vehicle, Bike
Hope this helps :)
How many solutions does this equation have?
1/2 + 4x = - x + 2
Answer:
4
Step-by-step explanation:
..............................
8. Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC
Step-by-step explanation:
Angle ADB = Angle CBD = 90° (given)
Side AB = Side DC (given)
Common side DB / BD
By HL congruence, triangles ABD and CDB are congruent.
Therefore Angle ABD = Angle CDB
=> Line AB is parallel to Line DC (Z angles)
which of the equations below represents a line parallel to the x-axis?
a. x=5
b. y=1/x
c. y=x
d. y=5
Answer:
d. y=5
Step-by-step explanation:
The equation of a line parallel to the x-axis will always be in the form y=b, where b is the y-intercept (where on the y-axis the line crosses). So, for y=5, the line crosses the y-axis when y is equal to 5.
The equation of a line parallel to the y-axis will always be in the form x=d, where d is the x-intercept (where on the x-axis the line crosses). So, for option a, x=5, it is a vertical line that crosses the x-axis when x is equal to 5. It is therefore not parallel to the x-axis.
Option b gives an equation that isn't for a linear relation entirely.
Linear equations are typically given in the form y=mx+b, where m is the slope of the line and b is, again, the y-intercept. Option c presents the equation of y=x, and this can be rewritten as y=1x+0. In other words, the slope of the line is 1 and it crosses the y axis when y is equal to 0. Lines that are parallel to the x-axis will always have a slope of 0, so therefore, this line is not parallel to the x-axis.
I hope this helps!
4 x 10^3 times what number is equal to 16 x 10^3
The number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.
What is the product?Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,
[tex]P=a\times b[/tex]
Here, (a, b) are the real numbers.
The 4 x 10^3 times a number is equal to the number 16 x 10^3 Let suppose this number is n. Thus,
[tex]4\times10^{3}\times n=16\times10^{3}[/tex]
Divide both side of the equation with 4 x 10^3 as,
[tex]n=\dfrac{16\times10^{3}}{4\times10^{3}}\\n=\dfrac{16}{4}\\n=4[/tex]
Hence, the number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.
Learn more about the product here;
https://brainly.com/question/10005040
Find the measure of X plz
Answer:
X = 44°
Step-by-step explanation:
The angle other than 68°and and x is also 68° because its a isosceles triangle.
so 68° + 68° + x = 180° (angle sum property)
136° + x = 180°
x = 180 - 136
= 44°
hope this helps.
Answer:
44
Step-by-step explanation:
two lines are similar so there angel are the Same
Xavier Dupree deposited $1,400 in a new regular savings account that earns 6.5 percent
interest compounded monthly. He made no other deposits or withdrawals. What is the
amount
in the account after 9 months?
O $1,493.76
O $1,422.87
O 1,446.12
O $1,469.75
Need help with this one will mark brainliest
Answer:
Pretty sure it the 1st one
[tex]\sqrt{x + 12} = x+5[/tex]
We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)
From [tex]\sqrt{x+12}=x+5[/tex]
Completing the square for both sides.
[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]
Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.
[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]
But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2
Therefore, the answer is (-9-√29)/2
Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.
BRANLIEST TO CORRECT ANSWER!!!
Which statements describe vascular tissue?
Check all that apply.
The primary purpose of vascular tissue is to support the plant and help it stand upright.
Phloem carries food made during photosynthesis to other parts of the plant.
Phloem contains the chloroplasts.
Xylem moves water and nutrients throughout the plant.
Xylem is the protective, waxy layer on a plant that prevents water loss.
Answer:
Xylem moves water and nutrients throughout the plant.
Answer:
B and D
Step-by-step explanation:
most people in the comments said it was right so I tried it and got it right
Carrie has 18 pens. Carrie has 2 more than 4
times the number of pens that Patricia has.
Exactly how many pens does Patricia have?
Answer: ( sorry I misread the problem)
I'm not sure what I'm supposed to be multiplying with
but I'll try my best
subtract 2 with 18 and divide 4 with the remaining
18 -2 = 16
then it is 16/4= 4
Pat has a total of 4pens
PLEASE help it’s a multiple choice question i’ll mark u brainliest
Help me out here pleaseeeeeeeeee
please help ASAP please
2/3 is the answer becuase 72/6 = 12 12/6 = 2/3