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[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve the following equation for b.
13b=6b+14
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First of all, we need to make sure that all the variables are on one side (the left-hand side, LHS) and numbers are on the right-hand side, RHS.
Here we have variables on the right-hand side, so we can move that term to the left-hand side, making sure to use the opposite operation:-
13b=6b+14 Subtract 6b on both sides, which results in:-
7b=14 Divide by 7 on both sides, which results in:-
b=2 We've found the value of b. Now, we need to check our solution by replacing b with the value of b, 2, and seeing whether or not we end up with a true statement:-
13(2)=6(2)+14 Multiply.
26=12+14 Now add.
26=26 Since the left-hand side does equal the right-hand side, we conclude that our solution, b=2, is correct.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The quotient of 7 and the difference of a number and 8.
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
➪ What is the quotient of 7 and the difference of a number and 8?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
➪ First, the word "quotient" indicates that we divide.
✳︎ Here, we are asked to divide 7 by the difference of a number and 8.
➪ The word "difference" indicates that we subtract.
✳︎ Here, we are asked to subtract a number minus 8.
Let the number be x.
Since the difference of x and 8 means we subtract x minus 8, this expression looks as follows:-
[tex]\texttt{x-8}[/tex]
◈ Now, we are also asked to find the quotient of 7 and the difference of a number and 8, which equals [tex]\bold{x-8}[/tex].
As I said earlier, the "quotient" means we divide, so we divide 7 by [tex]\bold{x-8}[/tex].
So we conclude that the expression is:-
7÷(x-8)
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Line A is represented by the equation given below: x + y = 2 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point) a 2x + 2y = 2 b 2x + 2y = 4 c 2x + y = 2 d x + y = 4
The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
equation of the line:
x + y = 2
a) 2x + 2y = 2 ⇒ x + y = 1
b) 2x + 2y = 4 ⇒ x + y = 2
c) 2x + y = 2 ⇒ 2x + y = 2
d) x + y = 4 ⇒ x + y = 4
The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions
Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.
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I ALWAYS GIVE BRAINLIEST!!!!!!COME AND GET IT IF YOU WANT IT! ~20 POINTS AT STAKE!
Answer: C
Step-by-step explanation:
A rectangular pyramid has a volume of 492 cubic yards. if the base has a length of 18 yards and a width of 4 yards, what is the height of the pyramid?
Answer:
h = 20.5 yards
Step-by-step explanation:
Volume of Rectangular Pyramid: lwh/3
492 = (18) * (4) (h) /3
Multiply 3 on both sides
1476 = (18) (4) (h)
1476 = 72h
Flip the equation.
72h = 1476
h = 41/2 or 20.5 yards
The sum of three consecutive integers is 90. Find the integers. If the smallest integer is x, the equation will be. I NEED HELP PLS SOLVE THIS QUICKLY I BEG YOU.
Answer:
x = 29
Step-by-step explanation:
Take the smallest integer as x. The next one as (x+1) and the last one as (x+2)
x + (x+1) + (x+2) = 90
x + x + x + 3 = 90
3x = 87
x = 29
Hence, x = 29
Hope this helps out. Feel free to mark me as brainliest! :)
Russ walks 710 mile to school. How far has he walked when he has covered 58 of the distance to school?\
Answer: [tex]\frac{7}{16}[/tex]
Step-by-step explanation: Distance to school = [tex]\frac{7}{10}[/tex] mile
Distance covered = [tex]\frac{5}{8}[/tex] of [tex]\frac{7}{10}[/tex]
= [tex]\frac{5}{8}[/tex] x [tex]\frac{7}{10}[/tex]
= [tex]\frac{35}{80}[/tex]
= [tex]\frac{7}{16}[/tex]
Help pleasseeeee!!!!
Which of the following statements is TRUE about using a quadrilateral to construct a parallelogram?
A. All sides of the quadrilateral must be congruent and all angles must be congruent?
B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
C. The sides of the quadrilateral can be any length and the angles can be any measure.
D. Adjacent sides of the quadrilateral must be perpendicular and adjacent angles must be congruent.
Answer:
B. B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
Answer: Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
Step-by-step explanation:
If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
I need this solved now
HEY GUYS THIS IS MY FINAL MATH ASSIGNMENT OF THE YEAR... PLS JUST HELP ME FIND THE DOMAIN AND RANGE THANK YOU
Answer:
domain: all real numbers (-∞,∞)
range: y ≤ 64
Step-by-step explanation:
since the domain is arn,
and range is the coordinates
coordniate (top or bottom-most point)
downward facing so the top
(2, 64)
since it is downward facing we use ≤ instead of ≥
y value is 64 (just as x is 2)
your answer is y ≤ 64
hope this helps:)
Answer:
[tex]D=[x E R | {x = \infty} ][/tex]
[tex]R = [yER| y\leq 64][/tex]
Step-by-step explanation:
1) Identify whether the [tex]x[/tex] and [tex]y[/tex] values are continuous
2) Since [tex]x[/tex] will continue below the [tex]x[/tex]-axis, it will approach infinity.
Therefore [tex]D=[x E R | {x = \infty} ][/tex]
3) Since [tex]y[/tex] ONLY continues below 64, [tex]R = [yER| y\leq 64][/tex]
Order the following integers from least to greatest: -32, -43, -28, -22 and 13
Answer:
-22, -28, -32, -43, 13
Step-by-step explanation:
If it is after the digit 0 it will be less than any number above itself.
Which values complete the function? f(x)=_(x-_)(x+_)
Answer:
the answer is b
Step-by-step explanation:
just took the test
Answer:
Step-by-step explanation:
-1
3
4
short answer: Write an equation in the form y=ax2+bx+c for a parabola that intersects the x-axis at -6 and 2 and passes through the point (1,-14) (2 points). Show you work.
Answer:
y = 2x^2 + 8x - 24
Step-by-step explanation:
This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.
tony wants to rent a bike. bike rentals cost $7.50 for a half hour. if tony rents a kayak for two hours and 30 minutes, how much will it cost him?
37.50
Step-by-step explanation:
It takes Imani seven hours to dig a 10 ft by 10 ft hole. Stefan can dig the same hole in five hours. If they worked together how long would it take them
Answer:
2 hours and 44 min. or 2.7273 hours
Step-by-step explanation:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
x = time if working together then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
What is the value of z, rounded to the nearest tenth? use the law of sines to find the answer. 2.7 units 3.2 units 4.5 units 5.3 units
The triangle is a shape with 3 sides and angles. The value of z from the given figure to the nearest tenth is 3.2
Sine rule of triangleThe triangle is a shape with 3 sides and angles
From the given triangle, we will use the expression below to determine the value of z
2.6/sin51= z/sin76
simplify
z = 2.6sin76/sin51
z = 2.5227/0.7771
z = 3.246
Hence the value of z from the given figure to the nearest tenth is 3.2
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Pls help will give brainilist
Answer:
$16.37
Step-by-step explanation:
They want to raise $463.72 and they already have $218.22 so if we subtract it
$463.72-$218.22=$245.50
we get $245.50 left to raise.
We have 15 teachers so we do
$245.50/15
we get 16.36 but we round it so we get $16.37.
How many combinations without repetition are possible if n = 6 and r = 3? 56 20 27 18
Answer:18
Step-by-step explanation:
n+r=9
n×r=27
r²=9
n²=36
n+n=12
r+n=9
r+r=6
In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 2 feet and b = 1 foot, what is c? If necessary,
round to the nearest tenth.
c =
feet
c=2.2feet
The solution in the attached file
ignore the numbers on top of the fruits but can someone help solve this?
Step-by-step explanation:
I don't know what the 3rd fruit is. let's call it an apple.
so,
1 apple + 3 cherries = 3 bananas
1 apple = 3 bananas - 3 cherries
1 banana + 2 cherries = 1 apple = 3 bananas - 3 cherries
5 cherries = 2 bananas
1 apple + 1 banana = (1 banana + 2 cherries) + 1 banana =
= 2 bananas + 2 cherries =
= 5 cherries + 2 cherries =
= 7 cherries
the numbers did not help, as they were wrong.
e.g. if you assume the apple = 5, a cherry = 1 and a banana = 2, you would get 8 = 6 on the first scale.
if you change the apple to a 3, that would make the first scale true (6 = 6), but the second scale wrong (4 = 3).
funny enough, the other answer got 7 nevertheless (but the wrong way - actually 2 mistakes balanced each other out).
it is 7 cherries, though !
the actual numbers would be e.g.
a cherry = 1
then
1 banana = 5/2 = 2.5
1 apple = 3×5/2 - 3 = 15/2 - 6/2 = 9/2 = 4.5
to get whole numbers, we could multiply all by 2 :
cherry = 2
banana = 5
apple = 9
and then the first balance :
9 + 3×2 = 3×5
9 + 6 = 15
15 = 15 correct
the second balance
5 + 2×2 = 9
9 = 9 correct.
list all the possible order you can have
wala ako pake sau
Step-by-step explanation:
wala ako pake sau
Can someone try to help me I’m trying to get to a 91
If you get a $50.00 raise in pay per month and your taxes also increase about $50.00 per month, how would you probably feel?
appreciated because you are getting rewarded for your hard work
satisfied because you broke even
proud because the government needs your money more than you do
resentful because it seems unfair
Answer:
i would say satisfied because you broke even. Because then you still work the same as you did, because before that you were breaking even every month. So you are not getting paid any extra
Step-by-step explanation:
What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x over x squared 3 x minus 4 endfraction
The product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Simplifying fractionsFrom the question, we are to determine the product of the given expressions
The given expressions are
[tex]\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}[/tex]
[tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}[/tex]
[tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex]
OR
[tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex]
OR
[tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Hence, the product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
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Here is the complete and correct question:
What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
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Answer:
A. StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
Step-by-step explanation:
correct on edge :)
please help show work
Answer:
236854Step-by-step explanation:
Relation between sugar and flour
18 teaspoons of sugar per 3 cups of flourRate : 18/3 = 6 teaspoons of sugar per cup of flourTable
[tex]\left[\begin{array}{ccc}sugar(tsp)&flour(cups)\\12&2\\18&3\\36&6\\48&8\\54&9\end{array}\right][/tex]
Answer:
Step-by-step explanation:
Remark
The key to this question is the second entry. Numerically the sugar is divided by 6 to get the flour. Never mind the units. Just deal with the ratio itself.
Formula
Flour = Sugar / 6
Solution
Sugar = 12
Flour = 12/6 = 2
Flour = 18/6
Flour = 3
Flour = 6
6 = sugar/6 multiply by 6
6*6 = 6* sugar/6
36 = sugar
Sugar = 48
Flour = 48/6 = 8 cups of flower
Flour = 9
9 = sugar / 6
9*6 = sugar
Sugar = 54.
Which line is the best model for the data in the scatter plot?
Answer:
the top right (2) answer is probably what you'll want to go for, if this is incorrect then you have my deepest apologies
Step-by-step explanation:
Identify coordinate point A.
(0, 2)
(6, 7)
(1, 5)
(7, 3)
Answer:
(0, 2)
Step-by-step explanation:
it right I got 100% on my quiz
And… here are others that are right in the quiz
Identify coordinate point B.
(1, 5)
Identify coordinate point D.
(7, 3)
Identify coordinate point C.
(6, 7)
Hope it helps! :)
If , the ratio of the length of to the length of is .
Given the ratio of 5 : 3, the length of the rectangle is 45 units
How to determine the length?The ratio is given as:
Length : Width = 5 : 3
The perimeter is given as:
Perimeter = 144
The perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
So, we have:
2 * (Length + Width) = 144
Divide both sides by 2
Length + Width = 72
Recall that:
Length : Width = 5 : 3
Express as fraction
Length/Width = 5/3
Make Width the subject
Width = 3Length/5
Substitute Width = 3Length/5 in Length + Width = 72
Length + 3Length/5 = 72
Multiply through by 5
5Length + 3Length = 360
This gives
8Length = 360
Divide both sides by 8
Length = 45
Hence, the length of the rectangle is 45 units
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QUESTION
Find 45% of 240.
Answer:
108
Step-by-step explanation:
Calculator
Answer:
108
Step-by-step explanation:
(45 * 240) / 100
(10,800) / 100
108
Which function is represented by the graph?
Answer:
cos(x-[tex]\frac{pi}{4}[/tex])-2
Step-by-step explanation:
The function is cos(x).
The horizontal shift is caused by (x- pi/4) so it would go to the right a distance of pi/4. If it was positive the entire thing would go left (x + pi/4).
The vertical shift is caused by the negative 2. Unlike horizontal shifts, negative moves it down and positive moves it up.
The x-axis is in radians. Desmos has option to change it to radian.
2,994 divided by 128 i need help
Answer:
Divide 320 by 128 to get 2
23.39062
128| 2994.00000
256
____
434
384
_____
500
384
_____
1160
1152
____
80
0
___
800
768
_____
320
256
_____
64
Stopping at 5 decimal places
The solution for Long Division of 2994/128 is 23.39062
23.39062