Select the correct answer.
What is the solution to the equation?
vt + 3 = 12
A.
225
OB.
81
O C.
3
OD.
no solution
Answers
Answer:
81
Step-by-step explanation:
[tex] \sqrt{x} + 3 = 12 \\ \\ \sqrt{x} = 12 - 3 \\ \\ \sqrt{x} = 9 \\ \\ {( \sqrt{x} )}^{2} = {(9)}^{2} \\ \\ x = 81[/tex]
81 is the solution to the equation √x+3=12
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is √x+3=12
Square root of x plus three equal to twelve
√x+3=12
Subtract three from both sides
√x+3-3=12-3
√x=9
Square on both sides
√x²=9²
The root and square will gets cancelled
x=81
Hence, 81 is the solution to the equation √x+3=12
To learn more on Equation:
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Related Questions
Ramu worked 8 hours and got 400 rupees as wages. Benny worked 6 hours and got 300 rupees.
Are the wages proportional to the hours of work?
Answers
Answer:
Step-by-step explanation:
Son directamente proporcionales porque cuanto mas horas trabajes mas dinero ganaras
What is the number of terms in this expression?
+4.6
Enter your answer in the box.
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Answer:
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Step-by-step explanation:
can you help with this?
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Answer: 10/3 or 3 1/3
Step-by-step explanation:
Answer:2/15
Step-by-step explanation:
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
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Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
I don't understand.
Answers
Answer:
symmetric is the answerAnswer:
the second choice took the test
Item 11
You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats.
An equation is
=36.
You have to sell
newspapers.
Answers
Answer:
0.75x=36
x=48
You need to sell 48 newspapers.
Step-by-step explanation:
0.75x=36
Divide both sides by 0.75 to isolate the variable x.
36÷0.75=48
x=48
Check your answer
48 × 0.75 = 36
need this fast guys .
Answers
Answer:
thanks
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
I just used rise/run
let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answers
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.
P(purple) =
p(white)=
p(not blue)=
Answers
P(white)=4/20=1/5
P(not blue)=15/20=3/4
What is the range of y = x + 20?
Answers
X=20
Explanation
Given 1,000 inches, how many feet are there?
Answers
Answer:
1000 inches / 12
=83.33... feet
Answer:
83.3333 feet
Step-by-step explanation:
The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.
Answers
Answer:
$19.2
Step-by-step explanation:
The school mascot is rectangular in nature.
Perimeter P = 2(L+W)
L is the length = 4feet
W is the width = 12 feet
Perimeter = 2(4+12)
Perimeter = 2(16)
Perimeter = 32 feet
Convert to inches
12in = 1feet
x = 32 feet
Cross multiply
x = 12 * 32
x = 384in
Hence the perimeter of the school mascot is 384in
If it is to be completely framed using a single row of square tiles each 2inches on an edge
2 inches = 1 tiles
384inches = y tiles
Cross multiply
2y = 384
y = 384/2
y = 192 tiles
The number of tiles needed is 192 tiles
Get the cost of 192tiles
If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2
Hence the cost of the tiles needed is $19.2
can someone please help me answer this? im struggling!! i will mark brainliest and rate 5 stars!!
Answers
Answer:
3.5 scale factor
Step-by-step explanation:
if you multiply any number from triangle RST by 3 you get they answer of the other triangle.
15 is what % of 60:(
Answers
Answer:
25%
Step-by-step explanation:
i need to know the solution of 4(x+3)-4=81/2x+1
Answers
Answer:
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]
Step-by-step explanation:
4(x+3)-4 = 81/2x +1
Add 4 to both sides
4(x+3) = 81/2x +5
Multiply both sides by 2x (This removes the division from the second half)
8x(x+3) = 81 +10x
Simplify
[tex]8x^{2}[/tex]+24x = 81 +10x
Subtract 10x from both sides
[tex]8x^{2}[/tex] +14x = 81
Subract 81 from both sides
[tex]8x^{2}[/tex] +14x -81 = 0
Solve using the quadratic formula
[tex]x= \frac{-b (+-) \sqrt{b^{2} -4ac}}{2a}[/tex]
a= 8, b= 14, c= -81
[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]
Simplify
[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]
[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]
Simplified Solution
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
And
[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]
I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.
If –2 and –5 are the roots of the equation ax + bx + 20 = 0, find the values of a and b.
Answers
Answer:
a=2
b=14
Step-by-step explanation:
Step-by-step explanation:
a=2b=14.................
Please help this is math equation!
SIKE lol
Answers
Answer:
oop lol
Step-by-step explanation:
welp
Answer:
oop hello mortals how are yall doing
what’s the value for x
Answers
Answer:
53
Step-by-step explanation:
move 82 down next to (2x-8)
if 82+2x-8 is 180, x is 53
Answer:
2x-8=98
2x=106
×=53 is the right answer
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answers
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answers
Answer:
We conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]
substituting a = 4 in the volume equation
[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]
[tex]V=\frac{64\sqrt{2}}{3}[/tex] ∵ 4³ = 64
[tex]\:\:V\:\approx \:30.17[/tex] cm
Therefore, we conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmGiven that triangle RST is isosceles, find the value of ZS
Answers
Answer:
120°
Step-by-step explanation:
[tex]m\angle S = 180\degree - 2\times 30\degree \\\\
m\angle S = 180\degree - 60\degree \\\\
\huge\purple {\boxed{m\angle S = 120\degree}} [/tex]
A major arc will have a measure that is
A. less than 180°
B. equal to 180°
C. greater than 180°
Answers
9514 1404 393
Answer:
C. greater than 180°
Step-by-step explanation:
Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.
Can anyone please help me with these questions 2. a-b 3. a-b 4. a-b and number 5?
Answers
9514 1404 393
Answer:
2a. 0.7, 0.3, -0.1, -0.5, -0.9
2b. 1, 3, 9, 27, 81
3a. geometric; r = 1/5
3b. arithmetic; d = -9
4. 234
5. 1/32
Step-by-step explanation:
2a. Start with the first term and add the common difference to get the next term.
0.7
0.7 -0.4 = 0.3
0.3 -0.4 = -0.1
-0.1 -0.4 = -0.5
-0.5 -0.4 = -0.9
The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.
__
2b. Start with the first term and multiply by the common ratio to get the next term.
The first 5 terms are 1, 3, 9, 27, 81.
__
3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:
8/40 = 1.6/8 = 1/5
This is a geometric sequence with a common ratio of 1/5.
__
3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...
-5 -4 = -14 -(-5) = -9
This is an arithmetic sequence with a common difference of -9.
__
4. Use n=50 and evaluate.
[tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]
__
5. Use n=7 and evaluate.
[tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]
PLEASE HELP!!!!!!!!!
Identify the type for each triangle.
(Please do not answer if you do not know so the right people get the points)
Answers
Answer:
1. isosceles
2. obtuse
3. isosceles
4. right triangle
5. right isosceles triangle
6. obtuse isosceles triangle
Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?
Answers
The y-intercept represents when she starts riding her bike while the x-intercept is the the time it takes her to get to her school.
How to Interpret x and y intercepts?The complete question shows us a table with time travelled being on the x-axis while distance remaining is on the y-axis.
We see from the table that at 0 minutes travelled, the distance remaining is 5500 ft. Thus, the y-intercept represents when she starts riding her bike at 0 minutes and 5500 ft left to cover.
We see also from the table that after 8 minutes covered, she has 0 ft left to travel. Thus, the x-intercept is the the time it takes her to get to her school which is 8 minutes.
Read more about Intercepts at; https://brainly.com/question/3951754
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-4x + 7y = 18
4x - y = -3
solve using either the substitution or elimination method
pls show solving steps
will mark brainliest
Answers
Answer:
Step-by-step explanation:
Subtract 7y7y from both sides.
-4x=18-7y−4x=18−7y
2 Divide both sides by -4−4.
x=-\frac{18-7y}{4}x=−
4
18−7y
Gavin bakes 70 cookies in an hour.How many cookies can he bake in 4hours
Answers
He can bake 280 cookies
Answer: 280 cookies
Step-by-step explanation:
Can somebody help me out with this ??? please .
Answers
Answer:
Step-by-step explanation:
you have alternate angles, which are equal
6z-91=71
6z=71+91=162
z=162/6=27
z=27
y=180-27=153
4x+8 =20
- 4x + 2y = -30
Answers
Answer:
first one is x=3
Step-by-step explanation:
The Gomez family has completed 50% of a trip, They have
traveled 40 miles. How far is the trip?
Answers
Answer: 80 miles
Work: I just did 40 times 2 because they completed half their trip, and they need to complete 40 more miles.
Happy Holidays! :)
Answer: 50 miles
Step-by-step explanation: