Answer:
[tex]c=\frac{d + ab}{a}[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]a(c-b)=d[/tex]
Step 2: Solve for c
Distribute a: [tex]ac-ab=d[/tex]Add ab to both sides: [tex]ac=d + ab[/tex]Divide both sides by a: [tex]c=\frac{d + ab}{a}[/tex]Answer:
c=d+ab/a
Step-by-step explanation:
a( c-b)= d
ac - ab= d
+ab +ab
ac= d-ab
/a /a
c= d+ab/a
A farmer created a crop circle that is a square inside a circle. The square contains the crop of wheat, and the part outside the square is flat. The circle has a radius of 25meters, and the square has a side length of 35 meters. What is the area of the flat region within this crop circle? Use 3.14.
Answer:
738.75m^2Step-by-step explanation:
this problem is on the mensuration of flat shapes.
first, we need to solve for the area of the circle
area of circle= πr^2
area of circle= 3.142*25^2
area of circle= 3.142*625
area of circle= 1963.75m^2
the area of the square
area of square= l^2
area of square= 35^2
area of square= 1225m^2
the area of the flat region within this crop circle is
area of circle-area of square
= 1963.75-1225
=738.75m^2
roger has a 28 pound block
Answer:
Nice.
Step-by-step explanation:
This means he has a 28 pound Block
Help please and thanks
Answer:
I think I did my math right. Is it 11? If it's not I tried to help.
Step-by-step explanation:
what is the solution to the equation 4(x+1) = 8? solve using distributive property
Answer:
4(1+1)=8
Step-by-step explanation:
x=1
how do you work out 7.62 + 5.97 + 3.6 =?
Answer:
17.19
Step-by-step explanation:
First, you add 7.62 and 5.97. This leaves you with 13.59 + 3.6, and you add these together to get 17.19. That is your answer :)
I know it’s not G. Or J.
Someone help me please!
Answer:
h
Step-by-step explanation:
b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Answer:
~370
Step-by-step explanation:
Columbus = 892,533
US = ~328,200,000
892,533x100=89,253,300
89,253,300x3.5=312,386,550
892,533x20=17,850,660
89,253,300+312,386,550+17,850,660=~328,200,000
100x3.5=350
350+20=370
Ms. Harris goes on a road trip with her fellow colleagues for spring break. 10 points
Ms. Harris is trying to estimate how much gas it will to drive 600 miles.
Ms. Harris's car typically gets 29 miles per gallon of gas. How many
gallons will Ms. Harris need to complete her 600 miles of travel.
O 20 gallons
O 19 gallons
O 21 gallons
O 22 gallons
Answer:
21 gallons
Step-by-step explanation:
600 = 29g
600/29 = g
20.689 = g
Round up
21 = g
Answer:
21 gallons
Step-by-step explanation:when you do 600/29 you get 20.68 if you round that up you get 21
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters. centimeters of velve
Given:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.
Velvet purchased by first customer = 120 centimeters
Velvet purchased by second customer = 14 meters
To find:
The remaining velvet in Malik's shop.
Solution:
We know that,
1 meter = 100 cm
Using this conversion, we get
32 meter = 3200 cm
14 meter = 1400 cm
Now,
Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm
= 1680 cm
Therefore, the remaining velvet in Malik's shop is 1680 cm.
what is 100,572×135,689
Answer:
13,646,514,108
I hope this helps!
Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals are made. Account A earns simple interest. Account B earns interest compounded annually. Compare the amounts in the two accounts after 20 years. Which earns more interest? How much more?
After 20 years, account (A or B) will have earned $____ more.
Answer:
Account B earns more interest.
After 20 years, account B will have earned $171.89 more.
Step-by-step explanation:
Let's calculate the total for each account.
Account A:
Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:
[tex]A=P(1+rt)[/tex]
Where A is the future value, P is the principal, r is the rate, and t is the time in years.
So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:
[tex]A=2000(1+0.02(20))[/tex]
Multiply and add:
[tex]A=2000(1+0.4)=2000(1.4)[/tex]
Multiply. So, the total amount of money in Account A after 20 years is:
[tex]A=\$2800[/tex]
Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of [tex]2800-2000=\$ 800[/tex]
Account B:
Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:
[tex]B=P(1+\frac{r}{n}})^{nt}[/tex]
Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.
So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:
[tex]B=2000(1+\frac{0.02}{1})^{(1)(20)}[/tex]
Simplify this to acquire:
[tex]B=2000(1.02)^{20}[/tex]
Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:
[tex]B\approx\$2971.89[/tex]
Since our principal was $2000, this means that we earned an interest of approximately [tex]2971.89-2000=\$ 971.89[/tex].
So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.
So, Account B earned more interest.
And it earned [tex]971.89-800=\$ 171.89[/tex] more than Account A.
And we're done!
Which expression is equivalent to 33.63.23 without
exponents?
The following statement is an example of: every quiz has been easy, therefore the test will be easy
WRONG QUIZES ARE HARDER THEN THE ACTUALLY TEST
JUST SAYIN G
Answer:
what exacually is the question
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y – 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Oy=1x+2
Oy={x-4
O y = x + 3/2
Oy=2x-
2.
Option A is the correct answer, y = x + 2
y - 3 = x-1
If you bring the 3 to the R.H.S, it becomes y = x + 2
If you substitute the values,
3 = 1 + 2
3 = 3
Thus, e equation is correct
The slope-intercept form of the equation for this line is y = 1/2 x + 5/2
First, we need to get the slope of the equation passing through the coordinate (-9, -2) and (1, 3)
m = 3+2/1+9
m = 5/10
m = 1/2
The equation in point slope form is given as y - 3 = 1/2(x - 1)
2(y - 3) = x - 1
Write in slope intercept form
2(y - 3) = x - 1
2y - 6 = x - 1
2y = x + 5
y = 1/2 x + 5/2
Hence the slope-intercept form of the equation for this line is y = 1/2 x + 5/2
Learn more on equation of a line here: https://brainly.com/question/18831322
Why do we combine like terms?
A . To give you more work
B. To make expressions shorter by simplifying
C. No reason
D. Because Ms. Sax likes making us suffer
Answer:
B it makes more sense
Find the product of the polynomials. (2x + 6)(3x − 2)
Answer:
6x^2 + 14x -12
Step-by-step explanation:
Round £432.75
to 2 significant
figure.
Answer:
= 3.66
Step-by-step explanation:
there you go have a good day
£432.75 to 2 significant figure, is 4.3275*10²
What is a significant figure?The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.
Given a term £432.75
Rounding £432.75 to 2 significant figure, we get,
432.75 = 4.3275*10²
Hence, 432.75 to 2 significant figure, is 4.3275*10²
For more references on significant figure, click;
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Solve the following compound inequality
1. 2x + 12 > 10 or -2x>6
Answer:
6
Step-by-step explanation:equals 6
Find the equation of the line passing through the point (-1, -2) and perpendicular to
the line y = -1/2x + 5.
A) y = 2x
O B) y = -1/2x - 5/2
O C) y = -1/2x
OD y = 1/2x - 5,2
Answer:
A) y = 2x
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The given line has slope -1/2.
The negative reciprocal of -1/2 is 2.
The only choice with slope = 2 is choice A.
y = 2x does include point (-1, 2).
Answer: A) y = 2x
find the value of x. (5x+4) 49
Answer:
X=9
Step-by-step explanation:
5 multiplied by 9 is 45 and 45 plus 4 is 49
Answer:
9
Step-by-step explanation:
Which of these are equivalent to -11/4?
Answer: -11/4 =-2.75
Step-by-step explanation:
-2.75
Step-by-step explanation:
How many gallons of 25% alcohol solution and 40% alcohol solution must be mixed to get 6 gallons of 30%
alcohol solution?
Answer:
amt of 25% solution to mix=6 gal
amt of 40% solution to mix=3 gal
Step-by-step explanation:
let x=amt of 25% solution to mix
9-x=amt of 40% solution to mix
25%x+40%(9-x)=30%*9
.25x+3.6-.40x=2.7
.15x=0.90
x=6
9-x=3
Using the factor theorem, which of the following is a factor of the polynomial below?
x^3 + 12x^2 + 9x - 22
A. X-3
B. X+2
C. X+1
D. X-2
Answer:
B.X+2
Step-by-step explanation:
-2^3+12X-2^2+9X-2-22
-8+48-18-22
40-40=0
The following is a factor of the polynomial is x+2.
What is Factor theorem?Factor theorem is a special kind of the polynomial remainder theorem that links the factors of a polynomial and its zeros.
The factor theorem removes all the known zeros from a given polynomial equation and leaves all the unknown zeros. The resultant polynomial has a lower degree in which the zeros can be easily found.
As per the factor theorem, (y – a) can be considered as a factor of the polynomial g(y) of degree n ≥ 1, if and only if g(a) = 0. Here, a is any real number. The formula of the factor theorem is g(y) = (y – a) q(y). It is important to note that all the following statements apply for any polynomial g(y):
(y – a) is a factor of g(y).g(a) = 0.The remainder becomes zero when g(y) is divided by (y – a).The solution to g(y) = 0 is a and the zero of the function g(y) is a.Given:
f(x)=x³ + 12x² + 9x - 22
To the above equation (x + 2) is a factor of x³ + 12x² + 9x - 22.
As,
f(-2)= (-2)³ + 12(-2)² + 9(-2) - 22
f(x)= -8 + 48 -18 -22
f(x)= 40 -40
f(x) = 0
Hence, the factor of x+2
Learn more about factor theorem here:
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How do the measures of the side lengths of AABCcompare with those of AA'B'C' when AA'B'C' coincides with the other three triangles?
What can you say about the preservation of the side lengths of a shape during a rotation?
Answer:
The angle measures of ABC and the other triangles are the same measures, and the side lengths in ABC and the other triangles are the same lengths when ABC coincides with them. It appears that angle measures and side lengths are both preserved when ABC is rotated.
Step-by-step explanation:
Write the numbers in decreasing order.
5
-3, -2.52, -543, 4.09,
4
Choose the correct answer below.
5
OA. -573, -3, -2.52,
4
4.09
5
OB. 4.09,
4
- 2.52, -3, -543
5
OC. -3, -543, 4.09, -2.52
OD.
5
, 4.09, -573, -2.52, -3
4
Answer:
5,4.09,4,-2.52,-3,-543
Can someone help me do this I'm not good at this kind of math
hope this helps i did this instead of my ap psych work haha
i didnt rlly check my answers so i hope this are correct <3
volume =160.875m, length =6.5m, height =5.5m, breadth =?
Answer:
b = 4.5 m
Step-by-step explanation:
Since we have 2 sides of the shape and the total volume, we can easily find the measurement of the third side which is the breadth by:
volume = 160.875
v = l×h×b
160.875m=(6.5m)×(5.5m)×b
160.875m=35.75b
b = 4.5 m
Answer:
4.5m
Step-by-step explanation:
v=lbh
b=v/lh
= 160.875/(6.5×5.5)
=160.875/35.75
=4.5m
k + 11 < -3. someone helppp
Your sister is selling Girl Scout cookies that cost $3.50 per box. Your family bought 6 boxes. How many more boxes of
cookies does your sister need to sell to raise $196?
Answer:
She needs $175.
Step-by-step explanation:
3.50 X 6= $21. (196-21=175)
So since she needs $196 and per box it would be $3.50 and 6 boxes is $21 total, she would need to sell 56 boxes total to get to her goal, but since her parents bought 6 boxes already she will only need 50 more.
CAN ANYONE PLZZZ HELP ME? I WILL MARK THE FIRST AND THE RIGHT ANSWER THE BRAINLIST!!!
Answer:
The answer would be 17.
Step-by-step explanation: