solve for b.
1/7= 90/91 +b
Answers
♡ The Question ♡
・1/7 = 90/91 + B
Solve for B!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
* ♡ The Answer ♡
・B = -11/13
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
・1/7 = 90/91 + B
Switch sides!
90/91 + B = 1/7
Subtract 90/91 from both sides!
90/91 + B - 90/91 = 1/7 - 90/91
Simplify!
90/91 + B - 90/91 : B
90/91 + B - 90/91
90/91 - 90/91 = 0
= B
Simplify!
1/7 - 90/91 : -11/13
1/7 - 90/91
= 13/91 - 90/91
Combine the fractions!
= 13 - 90 over 91
Subtract the numbers! : 13 - 90 = -77
= -77/91
Apply the fraction rule! : -a/b = -a/b
= -77/91
Cancel the common factor! : 7
= -11/13
B = -11/13
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
*♡ Tips ♡
・No tips provided!
Related Questions
What is the resulting integral?
Answers
Answer:
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Integration Constant C
U-Substitution
U-SolveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]
Step 2: Identify Variables
Find the variables u-solve using u-substitution.
U-Substitution
[tex]\displaystyle u = 1 + \sqrt{x}[/tex]
[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]
U-Solve
[tex]\displaystyle x = (u - 1)^2[/tex]
[tex]\displaystyle dx = 2\sqrt{x}du[/tex]
Step 3: Integration
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
plz help. I Need help with it
Answers
Answer:
O that easy just flip the sign for example - becomes + becomes-
this is an is simple trick I learn hope it helps you.
Step-by-step explanation:
so k goes to -3 j goes to -2
An object with a mass of 66.5 kg accelerates 22.3 m/s when
an unknown force is applied to it. What is the amount of the
force?
Answers
Answer:
Step-by-step explanation:
F=ma
F=66.5kg(22.3m/s)
F=1482.95N
what is the answer to 1\2÷3
Answers
Answer:
1/6
Step-by-step explanation:
1/2÷3
1/2×1/3
1×1/2×3
1/2×3
1/6
Sydney brings $200 to the mall. She buys a $ 70 watch and some shirts for $40 each.
Which inequality represents the situation?
Also determine how much money Sydney has left after she buys 2 shirts?
Question 2 options:
40x+70≤200, 50
40x+70<200, 120
110x>200, 128
40x+70≥200, 130
Answers
Answer:
A
Step-by-step explanation:
How many even numbers less than 1000 can be formed from the given
digits 0,2,3,5 if repetition is not allowed.
(a) 16
(b) 24
(c) 6
(d) none of these
Answers
Answer:
non of them it should be 32 iʻm pretty sure
Step-by-step explanation:
(this is a practice question)
Answers
Answer:
<GHI = 135 degrees
Step-by-step explanation:
(3x + 12) + (x + 4) = 180
4x + 16 = 180
4x + 16 - 16 = 4x
180 - 16 = 164
4x = 164
4x / 4 = x
164 / 4 = 41
x = 41
3 * 41 + 12
3 * 41 = 123
123 + 12 = 135
Given: 7X/2 < 5. Choose the solution set. {x | x < 10/7} {x | x >10/7 } {x | x < 35/2} {x | x > 35/2}
Answers
Answer:
{x | x < 10/7}
Step-by-step explanation:
Triangle A'B'C'is the result of reflecting triangle ABC across the line l
Choose all answers that apply
a. BC and B'C' are both perpendicular to the y-axis
b. <B and <B' have the same measures
c. The perimeters of ABC and A'B'C' are the same
D. None of the above
Answers
9514 1404 393
Answer:
b, c
Step-by-step explanation:
Reflection across a line is a "rigid" transformation, so linear measures and angle measures remain unchanged. (b and c are true statements)
Reflection across a line skew to the y-axis will mean that any segment originally perpendicular to the y-axis will not be after the reflection. ('a' is not a true statement)
Plz help! Pretty easy problems!
Answers
Answer:
The first is 9 sq.units
The second is 8 sq units
The third is 180mm squared
Step-by-step explanation:
can you help me with this
Answers
Answer:
A=168 ft²
Step-by-step explanation:
18×8=144
0.5*8*6=24
24+144=168
Find the ratio of the similar figure (red to blue) for the perimeter and area
15
6
What is the Perimeter and area
Answers
Which equation describes the function in the table below?
Answers
Answer:
A
Step-by-step explanation:
So, first we have to eliminate answers, let us check A first. If we simplify this equation, it's basically saying Y is equal to 1.3 times X plus 10. So, 0 x 1.3 = 0 plus 10 = 10. Now we check the rest of the table. 5 x 1.3 = 6.5 + 10 = 16.5. 10 x 1.3 + 10 = 23. 15 x 1.3 + 10 = 29.5, and 20 x 1.3 = 26 + 10= 36. The math matches with the table so we're done.
Calculate: Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
Answers
Answer:
29
Step-by-step explanation:
P=a+b+c=11+5+13=29
5 + (1/7)b = -2
what is b?
Answers
Answer: b=-1
Step-by-step explanation:
[tex]5+\frac{1}{7}b=-2\\\\5+\frac{1}{7}b=-2\\\\\frac{1}{7}b=-7\\\\b=-1[/tex]
hello i hope you are having a nice day can somebody help me with this question thanks
Answers
Half the sum of the parallel lines,
Times the distance between them,
That is how you work out,
The area of a trapezium!
Ok, now apply the rhyme to the question!
1) Half the sum of the parallel lines - (7.5+2.5) / 2 = 5
2) Times the distance between them - 5 x 2.5 =12.5
The answer is 12.5
Answer:
12.25 un
Step-by-step explanation:
-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height
to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.
then take your formula and multiply:
0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.
then do the area of the center square which is:
2.5×2.5=6 for the center
then add:
A=6.25+6=12.25
ill give you brainliest
Answers
Answer:
376.8 ft²
Step-by-step explanation:
that is the correct answer for you friend
How do you find out if a number is an integer or not?
Answers
Answer:
Integers are any whole number negative or positive
Step-by-step explanation:
Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?
X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
Answers
Answer:
When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).
X (1,-1) --> X' (1,1)
Y (3,4) --> Y' (-4,3)
Z (5,-1) --> Z' (1,5)
The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).
Step-by-step explanation:
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
Find out more on Transformation at: https://brainly.com/question/26092237
answer pls ill give bainliest!
Answers
Answer:
the right scale factor is 2.5
Step-by-step explanation:
just divide 5 by 2
Answer:
False im not sure sorry
Indicate whether the function represents an exponential growth or decay.
Answers
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Restaurants often slip takeout menus under Rosa's apartment door. So far, Rosa has collected 15 menus, including 5 for Indian food. Considering this data, how many of the next 18 menus slipped under Rosa's door should you expect to be from Indian restaurants?
Answers
Answer:
https://e-eduanswers.com/mathematics/question21901004
Step-by-step explanation:
the answer is in that website
What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
y=1/3x-3
y=-1/3x+3
y=3x+9
y=-3x+3
Answers
Answer:
Step-by-step explanation:
the correct answer of the question is y=x/3-3 b.c
m1.m2 = -1 But m1=-3
so -3.m2=-1
-3.m2/-3=-1/-3
m2=1/3 therefore
Y=1/3x-3
Which of the following best describes the difference between simple and compound interest?
Simple interest is easier to calculate than compound interest.
Simple interest earns interest on the previous interest earned only.
Compound interest earns interest on the principal plus any previous interest earned.
Compound interest earns interest on the principal only.
Answers
Answer:
Compound interest earns interest on the principal plus any previous interest earned.
Step-by-step explanation:
compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest
The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
Option 3 is true.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
To defined best describes the difference between simple and compound interest.
Now, We know that;
Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.
Hence, The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
Learn more about the Interest visit:
https://brainly.com/question/7639734
#SPJ3
Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5.7% over the previous year. Write an exponential function f(x) that models the tons of cherries produced by cherry hill orchards x years after 2012
A. f(x) = 500(1.057)^x
B. f(x) = 50(1.057)^x
C. f(x) = 500(0.057)^x
D. f(x) = 500(1.57)^x
Answers
Answer: A, f(x) = 500(1.057)^x
Please round to nearest hundredth and give explanation.
Answers
Answer:
I think PR = 20 but I'm not sure
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Answers
Question
( 10 + 5x )7
Lets solve this easily.
So, basically, 10 + 5x is 15 but we still didn't
get rid of the x so therefore it's still 15x and then there's 7 so we multiply 15 x 7 giving us 105x.
Hence, the answer is.
(C), 70 + 35x is the answer.
if two cards are chosen from a pack of 52 play cards at a time with replacement , what is the probability of getting one heart?
Answers
How would you explain 0 (prime and composite wise)?
Answers
Answer: 0 = NOTHING
Step-by-step explanation:
Where would it go I know how to do X axis but not Y
Answers
Answer: (-1,2) and (2,2) Make sure to see explanation!
Step-by-step explanation:
Well you need to remember the Y reflection rule!
To reflect over the Y axis you must do this:
Take the points in this case
(1,2) and (-2,2)
And you need to use the equation (x,y) --> (-x,y)
So the new points you NEED TO GRAPH ARE
(-1,2) and (2,2)
Hope this helped!
Answer: (-1,2) and (2,2)
Step-by-step explanation:
reflection over the y axis, take the point (x,y) and change the sign of the X-value (-x,y). When You reflect over the y-axis, the y remains the same.
point (1,2) would become (-1,2) reflected over the Y
and (-2,2) would become (2,2)