9514 1404 393
Answer:
13
Step-by-step explanation:
Let n represent that number.
(2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator
6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)
12 +6n = 25 +5n . . . . . . . . . eliminate parentheses
n = 13 . . . . . . . . . . . subtract 5n+12
Adding 13 to each term will give 5/6.
__
Check
(2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6
_____
Alternate solution
The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.
Suppose the following equation is true:
3^x=81^y
What is the connection between x and y?
Answer:
x=4y
Step-by-step explanation:
3^x=3^4y
x=4y
am I correct?
The ratio of the volumes of two spheres is 827. What is the ratio of the lengths of the radi of these two spheres?
23
Answer:
2:3
Step-by-step explanation:
r_1^3:r_2^3=8:27
r_1:r_2=2:3
Answer:
2/3
Step-by-step explanation:
solve volume formula for r and then use v1 and v2 from the ratio to find r1 and r2
v = 4/3 Pi r**3
(3/4 v) / Pi = r**3
r = (3v/4Pi)**1/3
Then
r1 = (3*8/4pi)**3
= (6/Pi)**1/3
= 1.24
r2 = (3*27/4Pi)**3
= (81/4Pi)**3
= (6.45)**3
= 1.8
Then
r1/r2 = 1.24/1.8 = .6666666 or 2/3
Solve the following literal equation for b.
cb + db = a
Step-by-step explanation:
[tex]cd + db = a \\ b(c + d) = a \\ \frac{b(c + a)}{a + b} \\ b = \frac{a}{c + d} [/tex]
Answer:
The other answer is correct
Step-by-step explanation:
Which expression is equivalent to 2(14x-3y+28+12.2-5y-17.5)
Answer:
28x-16y+45.4
Step-by-step explanation:
Add up all the variables inside the bracket by first grouping like terms
Then, multiply through by 2 ✅✅
Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?
Answer:
3 chocolate bars, and 2 graham crackers
Someone forgot the marshmallows...... :P
Step-by-step explanation:
Chocolate bars = 8 pack
Graham Crackers = 12pack
To have no crackers or chocolate left over, we need to find LCM
Factors of 8:
8, 16, 24, 32, 40, 48, 56, 72....
Factors of 12:
12, 24, 36, 48, 60, 72
The smallest LCM is 24
Chocolate bars:
24/8 = 3
Graham Crackers:
24/12 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
3 packs of chocolate and 2 packs of crackers
Step-by-step explanation:
the lowest common multiple of 8 and 12 is 24. We can determine this by prime factorization:
Prime factors of 8: 2 x 2 x 2
Prime factors of 12: 2 x 2 x 3
multipyling the bottom rungs of our factor tree we get: 2 x 2 x 2 x 3 = 24.
If you need me to draw the factor tree, just ask.
Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Answer:
-5 + (5 + 3) =(-5 + 5) + 3 = 0 + 3 = 3[tex]\\ \sf\longmapsto -5+(5+3)[/tex].
Remove brackets[tex]\\ \sf\longmapsto -5+5+3[/tex]
[tex]\\ \sf\longmapsto (-5+5)+3[/tex]
[tex]\\ \sf\longmapsto 0+3[/tex]
[tex]\\ \sf\longmapsto 3[/tex]
really need help to do step by step
Answer:
x/4+10=2
x/4=2-10
x/4=-8
x=-8 x 4
x=-32
Step-by-step explanation:
Solve: MXC multiplied by IV. Show your answer in standard form. Standard Roman Number Numeral 1 1 5 V 10 50 L 100 C 500 D 1,000 M X-003 O A) 4,060 OB) 4,360 OC) 4,440
Answer:
4360
Step-by-step explanation:
MXC is 1090 and a IV is 4 so 1090 x 4 is 4360
for a mathematical statement to be an equation, the quantities on each side of an equal sign must be?
Answer:
equal or balanced
Step-by-step explanation
the = demonstrates the amounts need to be the same
Answer: Balanced.
Step-by-step explanation:
For an equation each side shall be equal (balanced) or else it's NOT an equation.
Can anyone please help me with this thank you
Answer:
x= 0, and x=4
Step-by-step explanation:
x² -x = 3x, we can subtract 3x from both sides
x² -x -3x = 0, combine like terms
x² -4x = 0 , factor x
x *( x-4) = 0, if the product of 2 numbers equals 0 at least one is 0
x=0 and
x-4 = 0, add 4 to both sides
x= 4
Answer:
x=4 simple thing with all problems like this, is if it has a exponent, then half the exponent and add it to the numerical digit on the right of the equals sign, and you have you answer
Step-by-step explanation:
witch number line represents the solution for the inequality 3x<-9
Answer:
x < -3
Step-by-step explanation:
3x<-9
Divide each side by 3
3x/3 <-9/3
x < -3
Open circle at -3 line going to the left
Answer:
Step-by-step explanation:
3x < -9
Divide both sides by 3
x < - 3
x = {........-5, - 4 ,}
the ratio of thomson's age to racheal's age is 2:3.racheal is 24 years old. how old is thomson?
2:3
Given Racheal = 24 years
Thomson = 2/3×24
= 2×8
= 16 years
Must click thanks and mark brainliest
. If the market price of a dozen eggs at the local farmers market is 72 cents per dozen, will Brenda make an economic profit? Explain how you determined your answer. (4 points)
Cost of dozen eggs = 72 cents
Cost of 1 egg = 72÷12
= 6cents
Please click thanks and mark brainliest if you like
A. 4
B. -9/8
C. 8/7
D. -7/2
(it’s not C ik that)
I NEED HELP !!!
Find the measure of SR.
A.10
B.8
C.7
D.11
The measure of SR is 10.
The given figure has two secant segments and two external segments.
QU = secant segment
QS = secant segment
QP = external segment of QU
QR = external segment of QS
We need to find the measure of SR.
What is the theorem when two secant segments share the same endpoint outside a circle?It states that the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.
Applying the secant theorem in the given figure.
QU x QP = QS x QR
( 9 + 7 ) x 9 = (8 + 3X-5) x 8
16 x 9 = (3 + 3X) x 8
144 = 24 + 24X
144 - 24 = 24X
120 = 24X
X = 120 / 24
X = 5
Now Putting X = 5 in SR = 3X-5
We get,
SR = 3 x 5 - 5
SR = 15 - 5
SR = 10
After applying the secant segment theorem we got the measure of SR as 10.
Learn more about secant segments in a circle here:
https://brainly.com/question/18760361
#SPJ5
explanation would be appreciated. i don’t understand
Answer:
[tex]28\sqrt{3}[/tex]
Step-by-step explanation:
The area of the big triangle is 1/2 b h = 1/2*6*(12^2 = 6^2 + x^2)
that ends up being [tex]\sqrt{108} = 36\sqrt{3}[/tex]
the small triangle are needs to be subtracted....
[tex]\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)}[/tex] that is the length of the unknown side...
1/2 B * h of that triangle get you to [tex]8\sqrt{3}[/tex]
just subtract the two areas
Answer:
(B) 28√3
Step-by-step explanation:
The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.
Area of triangle CDE:
Triangle ABC is equilateral. All sides have length 12.
AB = BC = AC = 12
BE = 8
BE + EC = BC
8 + EC = 12
EC = 4
In an equilateral triangle, all angles measure 60°.
m<C = 60°
m<CDE = 30°
Triangle CDE is a 30-60-90 triangle.
DE = EC√3
DE = 4√3
area of triangle CDE = bh/2
area of triangle CDE = (EC)(DE)/2
area of triangle CDE = (4)(4√3)/2
area of triangle CDE = 8√3
Area of triangle ABC:
Side AC is a base of triangle ABC.
AC = 12
(1/2)AC = 6
The altitude of triangle ABC from side AC to vertex B measures
h = 6√3
area of triangle ABC = bh/2
area of triangle ABC = (AC)(h)/2
area of triangle ABC = (12)(6√3)/2
area of triangle ABC = 36√3
area of quadrilateral ABED = area of triangle ABC - area of triangle CDE
area of quadrilateral ABED = 36√3 - 8√3
area of quadrilateral ABED = 28√3
Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What grade does Ben need to get on his second test to meet his goal?
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer: 99
Concept:
Here, we need to know the idea of the average value.
In mathematics, average refers to the sum of a group of values divided by n, where n is the number of values in the group.
Average = Sum of value / number of values
Solve:
Given information
Scoring on first test = 89
Scoring on second test = x
Number of tests = 2
Average = 94
Given expression
Average = Sum of value / number of values
Substitute values into the expression
94 = (89 + x) / 2
Multiply 2 on both sides
94 × 2 = (89 + x) / 2 × 2
188 = 89 + x
Subtract 89 on both sides
188 - 89 = 89 + x - 89
[tex]\boxed{x=99}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the value of the expression 3.9x10^5/1.3x10^2?
I will mark Brainliest whoever person I actually trust.
Answer:
3 * 10 ^3
Step-by-step explanation:
Divide the numbers
3.9 / 1.3
3
Subtract the powers of 10
10^5 / 10^2 = 10 ^ (5-2) = 10^3
The result is 3 * 10 ^3
[tex] \frac{3.9 \times {10}^{5} }{1.3 \times {10}^{2} } \\ = \frac{3.9}{1.3} \times {10}^{5 - 2} \\ = 3.0 \times {10}^{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
all I've found is 1 but how do I work that out properly beaides guess and check
Answer:
1
Step-by-step explanation:
(1-x)/x=0
or, 1-x=0
or, -x=-1
or, x=1
Answer:
F(x) = 0 when x=1
Step-by-step explanation:
We need the numerator to equal zero
1-x = 0
Add x to each side
1-x+x = 0+x
1 =x
The denominator cannot equal zero( The denominator does not equal zero when x =1)
F(x) = 0 when x=1
Will Mark Brainlest !!!=
Answer:
Hello,
Answer m=-1, n=-6,l=2
Step-by-step explanation:
[tex]A*U=B\\\begin{bmatrix}3&-1&0\\0&1&3\\0&0&2\end{bmatrix}*\begin{bmatrix}m\\n\\l\end{bmatrix}=\begin{bmatrix}3\\0\\4 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2} \\\\0&0&\frac{1}{2}\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\[/tex]
[tex]U=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2}\\\\0&0&\dfrac{1}{2}\end{bmatrix}*\begin{bmatrix}3\\0\\4\\\end{bmatrix}=\begin{bmatrix}-1\\-6\\2\end{bmatrix}\\\\[/tex]
4x squared - 35 y squared
Answer:
it was helpful to you ✌︎✌︎✌︎✌︎✌︎✌︎✌︎➪♧︎︎︎
[tex]4 {x}^{2} - 25 {y}^{2} \\ (2 x) {}^{2} - {(5y)}^{2} \\ (2x + 5y)(2x - 5y)[/tex]
Answer:
[tex] = 1)(2x - 5y {)} \times (2x + 5y)[/tex]
Step-by-step explanation:
[tex]1) {4x}^{2} - 25 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - 25 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - {5}^{2} {y}^{2} [/tex]
[tex] = (2 {x)}^{2} - {5}^{2} {y}^{2} [/tex]
[tex] = ( {2x)}^{2} - (5 {y)}^{2} [/tex]
[tex] = (2x - 5y) \times (2x + 5y)[/tex]
[tex]2)4x^{2} - 35 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - 5y \times 7 {y} [/tex]
[tex] =(2x {)}^{2} - (5y \times 7y)[/tex]
is 3.00d+1.50d equivalent to 6.00d +3.00d?
FIRST CORRECT WILL BE MARKED BRAINLIEST!!!
Which expression is the result of solving the equation ax-b=cy for x (For a[tex]\neq[/tex]0)
Answer:
x = (cy+b)/a
Step-by-step explanation:
ax-b=cy
Add b to each side
ax-b+b=cy+b
ax = cy +b
Divide each side by a
ax/a = (cy+b)/a
x = (cy+b)/a
Correct answer gets 5 stars and brainliest
Answer:
Option CStep-by-step explanation:
Find the equation of the graphed line.
Use 2 points, (0, -6) and (2, 4)
m = (4 + 6)/2 = 5b = -6The equation is:
y = 5x - 6Compare with the given line y = 4x + 2
5 > 4 and -6 < 2Correct answer choice is c
im bad at math and i need help ;^;
Answer:
[tex] \sqrt{ {x}^{10} } \div x \\ \frac{ \sqrt{ {x}^{9}x } }{x} \\ = \sqrt{ {x}^{9} } \\ = \sqrt{ {x}^{8}x } \\ = {x}^{4} \sqrt{x} \\ thank \: you[/tex]
Answer:
x⁴√x
Step-by-step explanation:
simplify x¹⁰ and x to √x⁹ then simplify the radical equation to x⁴√x
y is inversely proportional to the square root of x. When y=7, x= 2.25. Write y in terms of x.
Answer:
y(x)=10.5/sqrt(x)
Step-by-step explanation:
Since y is inversely proportional to the square root of x, it can be written as y=a/sqrt(x). To compute a, we will use the point given in the question (2.25,7). 7=a/sqrt(2.25), a=10.5. The function is y(x)=10.5/sqrt(x)
What is the domain of f(x) = 5x – 7?
{x | x > –7}
{x | x < –7}
{x | x > 0}
{x | x is a real number}
Answer:
{x | x is a real number}
Step-by-step explanation:
f(x) = 5x – 7
There are no restrictions on the value that x can take
The domain is all real numbers
Answer:
In the given expression, that is, f (x) = 5x - 7, we can say:
x satisfies all the real values starting from -∞ to ∞.
domain of 5x-7
Interval notation for f (x):
(- ∞ , ∞)
So, the domain will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.
If A= and then find : 2A + 3B
Step-by-step explanation:
Answer:
Step-by-step explanation:
13824 = 2a*3b
13824= 6ab
Ab = 13824/6
A= 13824/b
B= 13824/a
Pls help so I did tournament with my friend the placement is 1st-1250th and we got top 27% what does that mean-
Answer:
1st place through 1250th. 1250 Divided by top 27% = 337.5
Step-by-step explanation:
Hope this helps! Have a great day
Factor Z squared minus 3Z -18
Answer:
z^2-3z-18
=(z^2+3z)+(-6z-18)
=z(z+3)-6(z+3)
=(z+3)(z-6)
