Directly solving the linear equations, we will see that:
a) x = -4b) x = 6c) x = 4/3d) x = 2.How to solve linear equations?
Let's start with the first one:
3 - x = 11 + x
First, move all the terms with x to the left side and the ones without to the right side:
-x -x = 11 - 3
-2x = 8
Now we divide both sides by -2
x = 8/-2 = -4
x = -4
2) 2x + 7 = 3x + 1
Same procedure:
2x - 3x = 1 - 7
-x = -6
x = -6/-1 = 6
x = 6
3) 8 - 2x = 4 + x
-2x - x = 4 - 8
-3x = -4
x = -4/-3 = 4/3
4) 4x + 2 = 2x + 6
4x - 2x = 6 - 2
2x = 4
x = 4/2 = 2
x = 2
So we solved all linear equations.
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-7i x -1
I just need to multiply these 2 numbers but i forgot how to
more questions help me
Answer:
a. -10/13*3/13
b. -30/169
Step-by-step explanation:
A perpendicular line is constructed through angle B of Triangle ABC and intersects side AC at a 90° angle through
point D. Select the transformations that would justify that Trangles ABD = CBD. Select all that apply.
A. A reflection over BD that maps AB onto BC.
B. A translation along vector AC that maps point A onto point C.
C. A rotation about center B that maps BD of Triangle CBD onto BA.
D. A rotation about center D that maps BD of Triangle CBD onto AD and Angle BDC onto angle ADB.
E. A rotation about center D that maps CD onto AD. Then a reflection across AD that maps Angle ABD onto
Angle CBD.
Answer: E, A
Step-by-step explanation:
PLEASE I NEED HELP WITH THIS!! BRAINLIEST FOR THE FASTEST ANSWER
Answer:
B - 2093 in cubed
Step-by-step explanation:
Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.
Hopefully this helps- let me know if you have any questions!
Answer:V≈268.08
Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae
To turn a decimal into a percent you move the decimal 2 spaces to which direction.
Answer:
Right
Step-by-step explanation:
You move the decimal to the right to make the decimal a whole number :)
Example below:
0.25
Move 2 places to the right
25%
Have a great day!!
Please rate and mark brainiest!!
Answer: You move the decimal point two spaces to the right.
Step-by-step explanation:
Multiply by 100.
Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.
Answer:
Step-by-step explanation:
Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.
Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.
Which expression converts startfraction pi over 4 endfraction radians to degrees?
Using the degree and radian relation π/4 radian equals 45°.
Given angle =π/4 radian
What is the relation between radian and a degree?π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.
Since, 1 radian equals 180/π degree.
So, π/4 radian =180/π * π/4 degree.
π/4 radian = 45°.
So, π/4 radian equals 45°.
Therefore, using the degree and radian relation π/4 radian equals 45°.
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Which strategy would most help minimize the risk of being underinsured
The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
What is a deductible?It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.
In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
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#SPJ1
Answer:
choosing max coverage
Step-by-step explanation:
Name 2-3 types of retirement accounts and explain what they are.
Some examples of he most common types of retirement accounts are:
401(k) andSEP IRA.What is the 401 (k) Retirement Plan?
The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:
The contributions to this account is tax freeprovides the contributor with early access to their moneyIt allows the contributors to contribute up to $18,500 for those under the age of 50 and $24,500 for those above the age of 50.With the 401K, there is a matching contribution from the employer by at least 90% of employers.Taxes on investments are defferred until retirements.The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.
What is the SEP IRA?
SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.
The advantages of the SEP IRA are:
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How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..
Answer:
where is the full question?
Step-by-step explanation:
HELP ASAPPPP
In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose oranges, and 21 chose bananas. In the second, 43 chose apples, 63 chose oranges, and 19 chose bananas. Marianne inferred that most people prefer oranges. Is this inference true based on the data? Explain.
Answer:
More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.
I hope this helps you
Step-by-step explanation:
I need help please this is very tricky to me
Answer:
273cm
Step-by-step explanation:
21 times 13 is 217. That is how you find out the area of parallelogram, (base times peperndicular heigh)
Can someone please answer this?
ANSWER
it is the one that is highlighted Yellow
f=±✓de/4e
photo is how you do the work
An isosceles trapezoid has vertices at (-2, 1), (2, 1), (5, -1) and (-5, -1). find the measure of each diagonal
Check the picture below.
well, is an isosceles trapezoid, namely the slanted sides are equal, so the diagonals, in red, are also equal, so let's just find the length of the solid line diagona, since the dashed one will be the same length anyway.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2 - (-5)]^2 + [1 - (-1)]^2}\implies d=\sqrt{(2+5)^2+(1+1)^2} \\\\\\ d=\sqrt{7^2+2^2}\implies d=\sqrt{53}\implies d\approx 7.28[/tex]
i only need help finding the radius that’s all thanks
Answer:
3
Step-by-step explanation:
from the center to the edge of circle, just counts 3
What are all that apply?
height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other. Check the picture below.
1. What is the volume, in cubic feet, of a rectangular solid with a length of 12 feet, a width of
3 feet, and a height of 4 feet?
Answer: 144 Cubic Feet
Explanation: Multiply all of your numbers together to get your volume.
Numbers : Length(12) x Width(3) x Height(4) = 144 cubic feet.
I hope this helps you! :)
Can you help me solve a question?
Answer:
Yeah sure
Step-by-step explanation:
Answer:
Yes what is it?
Step-by-step explanation:
!ask a question
WILL PICK BRAINLIEST AND GIVE LOT OF POINTS!
The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Step-by-step explanation:
is this what you were looking for?
What is the value of the expression, when x = 6?
Answer:
162
Step-by-step explanation:
7(3×6-4)+4^3
7(18-4)+4^3
7×14+4^3
98+64
162
Answer:
162.......
Step-by-step explanation:
= 7 ( 3x - 4 ) + 4^3
= 7 ( 3× 6 - 4 ) + 4^3
= 7 ( 18 - 4 ) + 4 ^3
= 7 ( 14 )+ 4 × 4 × 4
= 98 + 64
= 162..
3y - 2x = -15 and x = -6y
Answer:
X=6, Y=-1
Solved using substitution
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
[tex]3y - 2( - 6y) = - 15 [/tex]
Simplify both sides
[tex]3y + 12y = - 15[/tex]
Combine Like terms
[tex]15y = - 15[/tex]
Divide both sides by 15
[tex]y = - 1[/tex]
someone, please help me out with these two problems, it's trig.
Answer:
2nd problem
The sum of the angles of the triangle is 180°.
B= 90°
Find the area OR cicumference of the semi-circle below. You must show all work to get full credit. Don't forget to label your answer.
Answer:
28.274 cm^2
Step-by-step explanation:
A = pi * r^2
A = pi * 3^2
A = pi * 9
28.2743338823
or
28.274
At the beginning of a snowstorm, Harper had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 1 inch per hour. Assuming no snow was melting, how much snow would Harper have on her lawn 2 hours after the snow began to fall? How much snow would Harper have on her lawn after tt hours of snow falling?
If X∼U(3,34) follows a uniform distribution, what is the mean and standard deviation of X?
The mean of the uniform distribution of X is the average of the distribution
The mean and standard deviation of X are 18 and 9.24, respectively
How to determine the mean?The uniform distribution of X is given as:
X∼U(3,34)
This means that:
a = 3 and b = 34
The mean is calculated as:
[tex]\bar x = \frac{a + b}{2}[/tex]
So, we have:
[tex]\bar x = \frac{2 + 34}{2}[/tex]
[tex]\bar x = \frac{36}{2}[/tex]
Evaluate
[tex]\bar x = 18[/tex]
How to determine the standard deviation?This is calculated as:
[tex]\sigma = \sqrt{\frac{(b - a)^2}{12}}[/tex]
Substitute known values
[tex]\sigma = \sqrt{\frac{(34 - 2)^2}{12}}[/tex]
Evaluate the exponent
[tex]\sigma = \sqrt{\frac{1024}{12}}[/tex]
Divide
[tex]\sigma = \sqrt{85.33}[/tex]
Evaluate the root
[tex]\sigma = 9.24[/tex]
Hence, the mean and standard deviation of X are 18 and 9.24, respectively
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what is standard deviation round3d to one decimal place
Please help me ! Reduced to lowest terms
Answer:
Step-by-step explanation:
7) 2ab + 4ac = 2*a*b + 2 *2 *a*c
= 2a(b + 2c)
[tex]\dfrac{2ab^{2}c}{2ab+4ac}=\dfrac{2*a* b^{2}*c}{2a(b+2c)}\\\\\\\text{2a in the denominator and numerator get cancelled}\\\\ = \dfrac{b^{2}c}{b+2c}[/tex]
8) ac - a²c² = c( a - a²c)
bc - abc = c(b - ab)
[tex]\dfrac{ac - a^{2}c^{2}}{bc-abc^{2}}=\dfrac{c(a-a^{2}c)}{c(b-ab)}\\\\[/tex]
[tex]=\dfrac{a-a^{2}c}{b-abc}[/tex]
9) b²+ 4b - 5 = b² + 5b - 1b - 5
= b(b + 5) - 1(b + 5)
= (b +5)(b - 1)
b² + 8b + 15 = b² + 5b + 3b + 15
= b(b + 5) + 3(b + 5)
= (b + 5 )(b + 3)
[tex]\dfrac{b^{2}+4b-5}{b^{2}+8b+15}=\dfrac{(b+5)(b-1)}{(b+5)(b+3)}\\\\\\[/tex]
[tex]=\dfrac{b-1}{b+3}[/tex]
Find the surface area
Answer = 221.52cm²
Step-by-step explanation:
Surface area of a hexagonal pyramid = B × H ÷ 2
Where,
b = 6
h = 5.2
⇒ 6 × 5.2 ÷ 2 = 15.6
⇒ 15.6 × 5.2 = 81.12
⇒ 6 × 9 ÷ 2 ⇒ 54 ÷ 2 = 27
⇒ 27 × 5.2 = 140.4
140.4 + 81.12
= 221.52
Answer:
Step-by-step explanation:
a -> apotham of the hexagon ⇒ a = 3√3 cm
b -> base ⇒ b = 6 cm
s ->slant height ⇒ s= 9 cm
[tex]\text{Area of hexagonal pyramid=3*ab +3*b*s}[/tex]
= 3*3√3*6 + 3*6*9
= 54*1.732 + 162 [√3 = 1.732]
= 93.6 + 162
= 255.6 cm²
A group of students is riding in a bike tour. They have biked 15 miles, which is 25% of the tour. How long is the tour?
Answer:
60 miles
Step-by-step explanation:
25% of 60 = 15
Hoped this helped<33
Simplify the following if x = 3 & y = 4:
1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
Use your knowledge about parentheses and substitution to solve the following:
q = 1; r = 2; s = 3; t = 4; x = 5; y = 6
7. 2(x+4) + 10 =
8. 3(4x) + 4 =
9. 10(xy) =
10. 2(x + y) =
11. 3(rs) + 4(x)
12. 2(q) + 2(x + t) =
13. 6(3t + 4s) =
14. 10(10x) + 10y =
15. x(xy) =
16. r(s)(t) =
17. (r)(s)(t)(x)(y) =
18. 6(2x + 3Y) =
Answer: (All below)
Step-by-step explanation:
1. 2x + y = 10
2(3) + 4) = 10
6 + 4 = 10
2. 3x + 2y =
3(3) = 2(4) =
9 + 8 = 17
3. 3y + 2x = 18
3(4) + 2(3) = 18
12 + 6 = 18
4. 10x + 4y + 2x = 52
10(3) + 4(4) + 2(3) = 52
30 + 16 +6 = 52
46 + 6 = 52
5. 6y + 5x =39
6(4) + 5(3) = 39
24 + 15 = 39
6. 7x + 4y = 37
7(3) + 4(4) = 37
21 + 16 = 37
7. 2(x+4) + 10 = 28
2( 5 + 4) + 10 = 28
2(9) + 10 = 28
18 + 10 = 28
8. 3(4x) + 4 = 64
3(4(5)) + 4 = 64
3(20) + 4 = 64
60 + 4 = 64
9. 10(xy) = 300
10(5(6)) = 300
10(30) = 300
10. 2(x + y) = 22
2(5 + 6) = 22
2(11) = 22
11. 3(rs) + 4(x)
3(2(3)) + 4(5) =
3(6) + 20 =
18 + 20 = 38
12. 2(q) + 2(x + t) = 20
2(1) + 2(5 + 4) = 20
2 + 2(9) = 20
2 + 18 = 20
13. 6(3t + 4s) = 84
6(3(1) + 4(3)) = 84
6(2 + 12) = 84
6(14) = 84
14. 10(10x) + 10y = 560
10(10(5)) + 10(6) = 560
10(50) + 60 = 560
500 + 60 = 560
15. x(xy) = 150
5(5(6)) = 150
5(30) = 150
16. r(s)(t) = 24
2(3(4)) = 24
2(12) = 24
17. (r)(s)(t)(x)(y) =720
(2)(3)(4)(5)(6)= 720
6(20)(6) = 720
120(6) = 720
18. 6(2x + 3Y) = 1080
6(2(5) + 3(6)) = 1080
6(10 + 18) = 1080
6(180) = 1080
HELP HELP HELP*. Hei has $1,700 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,700. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary.
what was account balance after 5 years
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]
[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]