Answer:
x=4
Step-by-step explanation:
18 = 3(3x − 6)
Divide each side by 3
18/3 = 3( 3x-6)/3
6 = 3x-6
Add 6 to each side
6+6 = 3x-6+6
12 = 3x
Divide by 3
12/3 = 3x/3
4 =x
Answer: 4 = x
Step-by-step explanation: To solve this equation, we start by
distributing the 3 through the parenthses on the right side.
3(3x) is 9x and 3(-6) is -18.
So our equation now reads 18 = 9x - 18.
Our next step is to get the x term by itself on the right side.
So we add 18 to both sides to get 36 = 9x.
Now divide both sides by 9 to get 4 = x.
If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?
Answer:
3 bags
Step-by-step explanation:
9*(1/3 bag) = 3 bags
Given the Venn diagram below, which statement must be true?
the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:
Could someone help me write and equation and the soultion Will chose brainlest
Answer:
Step-by-step explanation:
1. Equation: x + 50 = 180 degrees
Solution: x = 180 - 50
x = 130 degrees
2. Equation: x + 45 = 90 degrees
Solution: x = 90 - 45
x = 45 degrees
Answer:
the answer is choose not chose
Step-by-step explanation:
Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?
Answer:
Total time for which they ride = [tex]\bold{7\ hours}[/tex]
Number of miles they ride each way = 24 mi
Step-by-step explanation:
Average speed = 8 mi/hr
Let the Distance to Mill Park = [tex]D[/tex] mi
Let the time taken = [tex]t[/tex] hours
Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]\Rightarrow D = 8t[/tex] ..... (1)
Now, when average speed = 7 mi/hr
Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours
Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi
Using the Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]D+4=7\times (t+1)[/tex]
From equation (1):
[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]
From equation (1):
[tex]D = 8 \times 3 = 24\ mi[/tex]
Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]
Number of miles they ride each way = 24 mi
convert 2.5 years to hours
Answer:
21900 hours
Step-by-step explanation:
To change years to hours, you need to multiply it by 8760. So 2.5*8760= 21900
Answer: 21,914.55 hours
I hope my answer helps you! :)
0.56 as a fraction in simplest form.
Answer:
14/25
Step-by-step explanation:
0.56=56/100=28/50=14/25
Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!
Answer:
8
Step-by-step explanation:
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Write the integer that represents $32 withdraw.
Answer: -32
You are taking away from "withdrawal"
There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
solve an algebraic equation.
Answer:
s=(73-31)
31+s=73
s= 42
Step-by-step explanation:
In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.
A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 3x+4 and from station B to C is 6x-4.
Answer:
-3x + 8
Step-by-step explanation:
The railroad track moves in a straight path from station A to station B and then from station B to station C.
Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:
AC = AB + BC
Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:
AC = 3x + 4 and BC = 6x - 4.
Using the line segment addition postulate:
AC = AB + BC
3x + 4 = AB + (6x - 4)
AB = 3x + 4 - (6x - 4)
AB = 3x + 4 - 6x + 4
AB = 3x - 6x + 4 + 4
AB = -3x + 8
The quotient of x and 4
Answer:
x/4
x divided by 4
In order to win a jar of candy you must guess how many pieces are in a jar within 30. If there are a total of 500 pieces of candy in the jar, what are the maximum and minimum amounts you could guess in order to win?
Answer:
530, 470.
Step-by-step explanation:
The maximum amount is 500 + 30 = 530.
The minimum amount is 500 - 30 = 470.
Help please! I have to finish this by today.
14.025, 40/3, square root 170, 14%
Calculator, the end
Answer: Answers
Step-by-step explanation:
The first option
he inverse of F(C) = 9 5 C + 32 is C(F) = F −
Answer:
C(F) = 5/9 F − 160/9
Step-by-step explanation:
[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).
The given function is:
[tex]f(c) = \frac{9}{5} c +32[/tex]
What is the inverse of a function?If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).
[tex]f(c) = \frac{9}{5} c +32[/tex],
let us suppose [tex]y= \frac{9}{5} c +32[/tex]
[tex]y-32 = \frac{9}{5} c[/tex]
[tex]c = \frac{5}{9} (y-32)[/tex]
[tex]c = \frac{5}{9} (f(c)-32)[/tex]
In order to get the inverse function, interchange c and f(c),
[tex]f(c) = \frac{5}{9} (c-32)[/tex]
Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).
To get more about inverse functions visit:
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Change the repeating decimal to a fraction:
0.376376376...
Let x = 0.376376376...
Then 1000x = 376.376376376...
So we have
1000x - x = 376.376376376... - 0.376376376...
999x = 376
x = 376/999
1 Find the shaded area for each of the following shapes.
b
d
6.0m
28 mm
14 cm
40 mm
submitted response:
Answer:
the answer is 40
A family buys b boxes of frozen waffles each containing w waffles. Each week the family eats x waffles. Write an equation in terms b,w,x that represents the number of remaining waffles r, after 2 weeks
Answer:
r=b(w)-2x
Step-by-step explanation:
were solving for r so that is our end variable
sense we dont know how many boxes there are we just put b in the equation by itself, multiplying it with w since that represent the total number of waffles
b(w)
Ex: they buy 2 boxes and each box contains 24 waffles
b=2 and w=waffles
it then says each week they eat x amount of waffles, meaning its the same number for every week allowing us to multiply it with the number of weeks.
2x
Ex: say the family eats 10 waffles per week week, meaning x=10, well the we just multiply the 10 by the number of weeks
Answer: r = b(w) - 2x
The number of remaining waffles r, after 2 weeks is r=bw-2x.
Given that, a family buys b boxes of frozen waffles each containing w waffles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The number of remaining waffles r, after 2 weeks.
Number waffles = Number of boxes × Number of waffles in each box
= b × w
= bw
Now, number of waffles left after 2 weeks = 2x
So, equation is r=bw-2x
Therefore, the number of remaining waffles r, after 2 weeks is r=bw-2x.
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Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
Answer: 12x^3 + 19x^2 -27x -40
Step-by-step explanation:
Finding f(x) times g(x) is multiply the two polynomials
(4x+5)(3x^2 + 1x -8) Apply the distributive property twice to solve
4x ( 3x^2 + 1x -8)
12x^3 + 4x^2 - 32x
5(3x^2 + 1x -8)
15x^2 + 5x - 40
12x^3 + 4x^2 - 32x + 15x^2 + 5x -40 now combine like terms
12x^3 + 19x^2 -27x -40
The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 3x² + x - 8 and g(x) = 4x + 5
The function g(f(x)) is written as,
g(f(x)) = 4(3x² + x - 8) + 5
Simplify the function, then we have
g(f(x)) = 4(3x² + x - 8) + 5
g(f(x)) = 12x² + 4x - 32 + 5
g(f(x)) = 12x² + 4x - 27
The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.
More about the function link is given below.
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what is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,
What is -S to the power of three minus 5st, S= -3 and T= -2.
So um I need help and plz explain it
WILL GIVE BRANLIEST
5(x + 2) over
2x - 14
x = 10
Answer:
10 .......................
=5(10+2)/2(10)-14
=60/6
=10
mark ice bear Brainliest
Simplify. 1/3(1−1/4)^2
Answer:
3
-
16
Step-by-step explanation:
If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?
Answer:
40° or 100°.
Step-by-step explanation:
If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.
angle ABC measures 100 degrees.
To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.
In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.
Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.
Therefore, we can calculate angle ABC as follows:
m ∠ ABC = m ∠ ABD + m ∠ CBD
m ∠ ABC = 70° + 30°
m ∠ ABC = 100 degrees
Thus, angle ABC measures 100 degrees.
Learn more about angle here
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1/1 1/4 1/9 what's the pattern
Answer:
adding a fifth
Step-by-step explanation:
Answer:
adding a fifth
Step-by-step explanation:
duhhhhhhhhhhhh
A pool charges a membership fee of $40 for the summer and $1 for each visit. A different pool charges no membership fee but it costs $5 for each visit. How many visits would the two pools cost the same amount? A)40 visits B)10 visits C)5 visits D)they'll never cost the same amount
Answer:
B) 10 visits
Step-by-step explanation:
Let the number of visits be x.
Pool A cost: 1x + 40 = x + 40
Pool B cost: 5x
Set the two costs equal and solve for x.
x + 40 = 5x
Subtract 5x from both sides. Subtract 40 from both sides.
-4x = -40
Divide both sides by -4.
x = 10
Answer: B) 10 visits
This question is confusing. Please help me!This question is confusing. Please help me!
Answer:
(C) 1/2
Step-by-step explanation:
s + 3s = 4st + 3t = 4tIf 4s is 2 more than 4t, then:
4s = 2+ 4t4s - 4t = 24s/4 - 4t/4 = 2/4s - t = 1/2(C) is the answer
Answer:
C
Step-by-step explanation:
We are given
t + 3t + 2 = s + 3s, that is
4t + 2 = 4s ( subtract 4t from both sides )
2 = 4s - 4t ← factor out 4 from each term
2 = 4(s - t) ← divide both sides by 4 , thus
s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C
What is the correct answer?
Answer:
C
Step-by-step explanation:
c
Given f(x) = 2x + 5, find x when f(x) = 45
Step-by-step explanation:
f(x) = 2x + 5 = 45
2x + 5 = 45
2x = 45 - 5
2x = 40
x = 20
Answer:
f(x) = 2x + 5 = 45
2x + 5 = 45
5-25=2x
40=2x
x = 20
Simplify 3/5 • 3/4 .
Answer:
9/20 as a faction as a decimal 0.45
Step-by-step explanation:
Simplify 3/5 • 3/4
I hope this help