How do I do this question?
Answer:
Step-by-step explanation:
you can think of it backwards,
-50 = 3x - 8y
x = 6y
X x 3 = 3x
6y x 3 = 18y
3x = 18y
18y - 8y = -50
10y = -50
y = -5
6 x -5 = -30
x = -30
Solve for x:
AD bisects BAC
Okay What is the value of x?
Answer:
x=75
Step-by-step explanation:
99/66=1.5
30x1.5=45
30+45 =75
Explain how to find 398 + 257 with mental math and with the standard algorithm.
Step-by-step explanation:
If you were to round 398 to the nearest hundred, you would get 400. that's only 2 off of 398. when you add 400 + 257 that would equal 857 because 4 + 2= 6 and then the other two digits on 400 are zeros so 5 and 7 stay the same. with 857, you must now subtract 2 because you added 2 earlier. 857 - 2 = 855.
2. Mr. Karr resurfaced a sidewalk in the park that was 125.065 meters long. How is this number written in words? one hundred twenty-five and sixty-five hundred thousandths one hundred twenty-five and sixty-five thousandths one hundred twenty-five and sixty-five hundredths D. one hundred twenty-five and sixty-five tenths
Answer:
one hundred twenty-five and sixty-five thousandths
Step-by-step explanation:
The 125 part is simply one hundred twnty five.
The .065 has the 5 in the thousandths place, so it is sixty-five thousandths.
Answer: one hundred twenty-five and sixty-five thousandths
Triangle ABC and DEF are similar which proportion is true
The length of DE in centimetres is 12 .
The following proportion can be established as follow:
AB / DE = BC / EF = AC / DF
Therefore,
let's find DE as follows;
AB / DE = BC / EF
4 / DE = 3 / 9
cross multiply
9 × 4 = 3DE
divide both sides by 3
DE = 36 / 3
DE = 12 cm
learn more: https://brainly.com/question/22808925?referrer=searchResults
What number is represented by point P? State your answer in scientific notation
and in standard form.
Answer:
5.7×10^-30.0057Step-by-step explanation:
Point P is marked in the expanded view on the 7th mark of the 10 marks between 5×10^-3 and 6×10^-3. That means it is representing ...
(5 +7/10)×10^-3 = 5.7×10^-3 . . . . scientific notation
__
The -3 exponent of 10 means the multiplier of the value is 1 in the 3rd place to the right of the decimal point: 0.001. So, the standard form of the number is ...
5.7×0.001 = 0.0057 . . . . . standard form
Solve the equation −9f 2 + 153 = 0. Round to the nearest hundredth.
f = ±3.87
f = ±1.96
f = ±5
f = ±4.12
Answer:
Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
Step-by-step explanation:
Step 1: Subtract 153 from both sides
[tex]-9f^2 + 153 = 0[/tex]
[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]
[tex]-9f^2 = -153[/tex]
Step 2: Divide both sides by -9
[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]
[tex]f^2 = 17[/tex]
Step 3: Square root both sides
[tex]\sqrt{f^2} = \sqrt{17}[/tex]
[tex]f =[/tex] ± [tex]4.12[/tex]
Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
find all the fraction between 0 and 1
Answer:
Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on. In fact, there are infinitely many fractions between any two whole numbers. Let's see why. Between 0 and 1 there are also 13, 14, 15, and any number that can be written as 1n where n is some whole number.
__________________
Hope this helped! Have a nice day!
Please give Brainliest when you can.
__________________
-Dont let the Pirates get ya!
-Jaron, King of Carthya.
100 POINTS WILL MARK BRAINLIEST DONE BY 9:00 attachment included
Solve the linear equations below. Show ALL your work AND circle the type of solution you found! (10 points)
Answer:
1. No sol.
2. One Sol. x=4
3. One Sol. w=22 1/2
Step-by-step explanation:
1.
Group like terms:
4+3p=6p-3p+5
Add similar elements (6p-3p=3p):
4+3p=3p+5
Subract 4 from both sides:
4+3p-4=3p+5-4
Simplify:
3p=3p+1
Subtract 3p from both sides:
3p-3p=3p+1-3p
Simplify:
0=1
There is no solution.
2.
One Sol. x=4
Switch sides:
3x-2=10
Add 2 to both sides:
3x-2+2=10+2
Simplify:
3x=12
Divide both sides by 3:
3x/3=12/3
Simplify:
x=4
There is a solution.
3.
One Sol. w=22 1/2
Subtract 7 from both sides:
2/3w+7-7=22-7
Simplify:
2/3w=15
Multiply both sides by 3:
3*2/3w=15*3
Simplify:
2w=45
Divide both sides by 2:
2w/2=45/2
Simplify:
w=22 1/2
There is one sol.
A cyclist rides 24 miles at an average speed of 9 miles per hour. At what rate must the cyclist cover the next 20 miles in order to bring the overall average speed up to 12 miles per hour? The cyclist must ride at 00 miles per hour.
Answer:
20 m/hr
Step-by-step explanation:
distance / rate = time
24 miles / 9 miles/hr = 2 2/3 hr
(24 + 20 miles) / 12 miles/hr = 3 2/3 hr
3 2/3 - 2 2/3 = 1 hour to ride the next 20 miles means 20 m/hr
A book sold 33,100 copies in his first month of release suppose is represents 7.6% of the number of copies sold to date how many copies have been sold to date?
Answer:
2515 number of copies sold to date
A number written in the form a + bi is called a _____ number.
A. Discriminant
B. Quadratic
C. Complex
D. Linear
Answer: A. Complex
Step-by-step explanation: hope this helps!
Solve the equation 64x2 − 144 = −23 by using square roots.
x = ±11/8
x = ±3/2
no real solutions
x = ±7/4
Answer:
The answers are:x = ±7/4x = ±3/2x = ±11/8
yww:)
Answer:
Option A, [tex]x =[/tex] ± [tex]11/8[/tex]
Step-by-step explanation:
Step 1: Add 144 to both sides
[tex]64x^2 - 144 = -23[/tex]
[tex]64x^2 - 144 + 144 = -23 + 144[/tex]
[tex]64x^2 = 121[/tex]
Step 2: Divide both sides by 64
[tex]\frac{64x^2}{64} = \frac{121}{64}[/tex]
[tex]x^2 = 1.890625[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{1.890625}[/tex]
[tex]x =[/tex] ± [tex]1.375[/tex]
[tex]x =[/tex] ± [tex]11/8[/tex]
Answer: Option A, [tex]x =[/tex] ± [tex]11/8[/tex]
4) True or False? Our town is growing with a doubling time of 40 years, so its
population will triple in 120 years.
NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compounded quarterly.
Answers:
a) See the table below
b) The equation is [tex]y = 32000(1.01125)^x[/tex]
c) $40,024.02
d) See the graph below
=========================================================
Explanations:
a)
Start with part (b) where I detail how to get the equation.
Once the equation is found, plug in x = 0 to get
[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\[/tex]
Repeat for x = 1
[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\[/tex]
Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.
-----------------------
b)
The template for any exponential equation is [tex]y = a(b)^x[/tex]
a = starting amount = 32000
b = growth factor
The annual interest rate is 4.5%
We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125
We go from [tex]y = a(b)^x[/tex] to [tex]y = 32000(1.01125)^x[/tex]
-----------------------
c)
Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)
[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\[/tex]
The investment would be worth $40,024.02 after five years, aka twenty quarters.
-----------------------
d)
See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.
Answer:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principal amountr = annual interest rate (as a decimal)n = number of compounding periods per unit of timet = time in decimal years (e.g. 6 months = 0.5 yrs)Given:
P = $32,000r = 4.5% = 0.045n = 4 (compounded quarterly)t = 0.25x[tex]\implies y=32000(1+\frac{0.045}{4})^{4 \times 0.25x}[/tex]
[tex]\implies y=32000(1.01125)^x[/tex]
Part (a)[tex]\begin{tabular}{|c | c |}\cline{1-2} \bf Quarterly & \bf \$ \\\cline{1-2} 0 & 32000.00\\\cline{1-2} 1 & 32360.00\\\cline{1-2} 2 & 32724.05\\\cline{1-2} 3 & 33092.20\\\cline{1-2} 4 & 33464.48\\\cline{1-2} --- & --- \\\cline{1-2} 20 & 40024.02\\\cline{1-2}\end{tabular}[/tex]
Part (b)[tex]y=32000(1.01125)^x[/tex] (where x is the number of quarterly periods)
Part (c)$40,024.02
Part (d)see attached
Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
a. 2a^2b^11/3
b. 2a^2b^30/3
c. 3a^2b^11/2
d. 3a^2b^30/2
Answer:
c. 3a^2b^11/2
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
[tex]\dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}[/tex]
My book has 120 pages. If I have read half of it how many pages have I read
Answer:60 pages
Step-by-step explanation:
first take away the zero then devide by 2 then add the zero the the number that your left with.
Kevin and randy muise have a jar containing 52 coins. all of which are either quarters or nickels. the total value of coins is $6.40. how many of each coin do they have?
Answer:
19 quarters33 nickelsStep-by-step explanation:
For mixture problems, it is convenient to let the variable represent the quantity of the high-value contributor.
Here, we can let x represent the number of quarters. Then the number of nickels is (52-x), and the total value of the coins is ...
0.25x +0.05(52 -x) = 6.40
0.20x +2.60 = 6.40 . . . . . . . . simplify
0.20x = 3.80 . . . . . . . . . . . subtract 2.60
x = 3.80/0.20 = 19 . . . . divide by the coefficient of x
The number of quarters is 19. The number of nickels is 52-19 = 33.
Help help math math math math
Answer:
(-2,1)
Step-by-step explanation:
The solution of a system of equations is wherever the two lines intersect. So, this is quite easy. We can see they intersect at (-2,1). We can tell it is (-2,1) becuase it is two units left and one units up from the origin.
That is the solution.
(-2,1)
Answer:
The answer is (-2,1). Hope this helps :)
Step-by-step explanation:
Alex eats 2 pieces of candy. Marisol eats 3 times as many pieces of candy as Alex. Which equation can be used to determine the amount of candy that Marisol eats? Let a represent Alex and m represent Marisol.
m=3a
m=3a+2
m=2a
m=2a+3
Answer:
m = 3a
Step-by-step explanation:
The number of pieces of candy eaten by Alex is not important.
The only thing that matters is that Marisol eats 3 times as many pieces of candy.
If a is the number eaten by Andy, then 3 times a equals the number of pieces of candy eaten by Marisol, or m=3a
3v+4(v-2)= -29 solve for v
Answer:
v = -3
Step-by-step explanation:
1) Expand.
3v + 4v - 8 = -29
2) Simplify 3v + 4v - 8 to 7v - 8.
7v - 8 = -29
3) Add 8 to both sides.
7v = -29 + 8
4) Simplify -29 + 8 to -21.
7v = -21
5) Divide both sides by 7.
v = -21/7
6) Simplify 21/7 to 3.
v = -3
Please help!! Will give brainliest! :)
Answer:
f(-2) = -3
Step-by-step explanation:
Step 1. Find equation
Step 2. Plug (-2) into f(x)
m, rise/run = (-2-0)/(0-4) = -2/-4 = 1/2
b, y-intercept = (0, -2)
y = 1/2x - 2
f(-2) = 1/2(-2) - 2
f(-2) = -1 - 2
f(-2) = -3
If you want to cheat, simply look for x = -2 on the graph and see where it touches the line. Then match the y-value and BOOM: (-2, -3), f(-2) = -3
BRAINLIEST please if this helped!50 points each question. Please help. How do I solve?
Answer:
I'm not sure if it's correct
simplify. giving brainliest :D
show steps in a simple way (not to long of an example ty :))
Answer:
- 3/2 x²y
Step-by-step explanation:
Multiply the numbers and constant separately.
constant means x any y.
( - 2/3 x ) ( 9/4 xy )
- 2/3 * 9/4 * x * xy
= ( - 2/3 * 9/4 ) * ( x * xy )
= ( - (2*9)/(3*9) ) * ( x²y )
= ( - 18/12 )* x²y
= - 3/2 x²y
Suppose that$ 7000 is placed in an account that pays 6% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
Answer:
1) 7420
2) 7865.5
Step-by-step explanation:
The Formula for Compound Intertst is Amout(rate/100+1)^number of years
7000(.06+1)^1
7000(.06+1)^2
find the value of a and b in the given figure
Answer:
a = 60°
b = 3cm
Step-by-step explanation:
Congruent angles
Parallel/congruent sides
BRAINLIEST please if this helped!Answer:
a=120 b=3
Step-by-step explanation:
For A you use 180-60 so you will get 120 for answer.
For B line PQ is parallel to line SR so 3 will be the answer
In the figure below, triangle QRS is isosceles, with QR SR.
If mSPQ = 36° and mQRS = 32°, what is mPQR?
A.
118°
B.
138°
C.
133°
D.
128°
Answer:
D
Step-by-step explanation:
since Δ QRS is isosceles then the base angles are congruent , that is
∠ RQS = ∠ RSQ = (180 - ∠ QRS ) ÷ 2 = (180 - 32)° ÷ 2 = 148° ÷ 2 = 74°
the sum of the 3 angles in Δ SPQ = 180° , then
∠ PQS = 180° - ∠ SPQ - ∠ PSQ = 180° - 36° - 90° = 54°
Then
∠ PQR = ∠ RQS + ∠ PQS = 74° + 54° = 128°
CAN SOMEBODY HELP ME PLEASE
Answer:
vertex (3, -1)y-intercept: (0, 8)x-intercepts: (2, 0), (4, 0)Step-by-step explanation:
You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.
__
VertexThe vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).
Y-interceptThe y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).
X-interceptsThe x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).
__
Additional comment
The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.
1. What is the surface area of the sphere below?
12 cm
Answer:
Using 3.14 for pi
SA =1808.64 cm^3
Using the pi button
SA =1809.557368 cm^3
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
We are given a radius of 12
SA = 4 pi ( 12) ^2
SA = 4 pi * 144
SA = 576 pi
Using 3.14 for pi
SA =1808.64 cm^3
Using the pi button
SA =1809.557368 cm^3
On the coordinate plane below, what is the length of AB?
Answer:
Ok so i think you can just count it i dont know; edit : i counted, it turns out the answer is 15 :)