Answer:
-b+2 or 2-b
Step-by-step explanation:
We first obtain 2 * b + 4. Next, we get 2b + 4 - 4b = -2b +4. Dividing this by two, we have -2/2b + 4/2 = 2/2 b + 4/2.
The final expression obtained after given operations is 2 - $b$.
What are linear expressions?Linear expressions are expressions involving constants and variables.
How do we solve the given question?We are given that the person takes a variable $b$, doubles it, and adds four to it. He subtracts $4b$ from this and then divides the whole by 2.
So, we perform these operations on our variable $b$, to obtain the linear expression.
Variable: $b$
Doubles it, that is we multiply it by 2: 2*$b$
Adds 4: 2$b$ + 4.
Subtracts $4b$: 2$b$ + 4 - $4b$ = 4 - $2b$
Divides by 2: (4 - 2$b$)/2 = 2 - $b$
The expression now: 2 - $b$.
∴ The final expression obtained after given operations is 2 - $b$.
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Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *
Answer:
x=2
Step-by-step explanation:
-7+4x+10=15-2x
combine like terms
4x+3=15-2x
add 2x to both sides
6x+3=15
subtract 3 on both sides
6x=12
divide 6 on both sides
x=2
Select the correct answer.
Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?
Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A.
0.29
B.
0.51
C.
0.58
D.
0.60
Answer:
Answer is C. 0.58
Step-by-step explanation:
22/38 = 0.57 something rounded to 58
The squared paper shows the nets of cuboid A and cuboid B. Do the cuboids have the same surface area? Show how you know (FIRST CORRECT ANSWER WILL GET BRAINLIEST THANK YOUU)
Answer:
No because cuboid a is smaller than cuboid b
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm
A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).
Answer:
Step-by-step explanation:
I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!
The equation that we want to fill in is this one:
[tex](y-k)^2=4p(x-h)[/tex]
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.
p = 2. Filling in the equation:
[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to
[tex]-y^2=8x[/tex] and now we solve it for x:
[tex]-\frac{1}{8}y^2=x[/tex]
Which expression simplifies to 4 √13
√208
√17
√29
√52
Answer:
√208
Step-by-step explanation:
Step 1: Convert 4 to √
4² = 16
4 = √16
Step 2: Multiply radicals
√16(√13) = √208
Answer:
[tex]\sqrt{208}[/tex]
Step-by-step explanation:
Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.
[tex]\sqrt{208}[/tex]
/\
[tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]
[tex]4\sqrt{13}[/tex]
As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.
The sum of the squares of three consecutive even integers is 980. Determine the integers.
Answer:
16, 18, 20
Step-by-step explanation:
We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...
√(980/3) ≈ 18.09
The integers are 16, 18, 20.
_____
Check
16^2 +18^2 +20^2 = 256 +324 +400 = 980
Answer:
16, 18, 20
Step-by-step explanation:
Let the three consecutive even integers be (x - 2), x, (x + 2)
[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]
Hence, three consecutive even integers are : 16, 18, 20.
What is the measure of 2
Answer: C. 90ᴼ
Step-by-step explanation:
This is an equilateral triangle because all three sides are congruent. Equilateral triangles also have 3 congruent angles.
The sum of each angle of a triangle equals 180ᴼ and there are 3 congruent angles.
180 / 3 = 60
Each angle measures 60ᴼ
Melinda is using construction paper to make cone-shaped table decorations. Each decoration will have
a slant height of 7.5 inches and a diameter of 5 inches. How much paper will she need to cover the
surface of 6 cone decorations?
Answer:
The correct answer on EDG-2020 is:
c) ≈471 in.2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
credit to the first guy
solve the equation for x. square root of x+4-7=1 A. x=4 B.x=12 C. x=60 D.x=68
Answer:
x = 60 (Answer C)
Step-by-step explanation:
Ambiguous. I will assume that you meant:
x+4-7=1 => √(x + 4) - 7 = 1
This latter result simplifies to
√(x + 4) = 8
Squaring both sides, we get: x + 4 = 64, or x = 60 (Answer C)
The value of x is 4.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
√(x + 4 - 7) = 1
Square on both sides.
x + 4 - 7 = 1²
x + 4 - 7 = 1
Add 7 on both sides.
x + 4 = 1 + 7
x = 8
Subtract 4 on both sides.
x + 4 - 4 = 8 - 4
x = 4
Thus,
The value of x is 4.
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Khala plots point A at (Negative 1, Negative 3 and one-half). Which graph shows the location of point A? On a coordinate plane, point A is 1.5 units to the left and 3.5 units down. On a coordinate plane, point A 1 unit to the left and 3.5 units down. On a coordinate plane, point A is 1 unit to the right and 3.5 units up. On a coordinate plane, point A is 1 unit to the right and 3.5 units down.
Answer:
The coordinate plane where the point is 1 unit to the left and 3.5 units down
Step-by-step explanation:
On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.
Answer:
D
Step-by-step explanation:
Edge 2020
The word ‘over’ is to show a fraction btw
10 over x-4 = 6
Answer:
x = [tex]\frac{17}{3}[/tex]
Step-by-step explanation:
[tex]\frac{10}{x-4}=6\\\\[/tex]
10 = 6*(x -4)
10 = 6*x - 6*4
10 = 6x - 24
Add 24 to both sides
10 + 24 = 6x - 24 + 24
34 = 6x
6x = 34
Divide both sides by 6
6x/6 = 34/6
x = [tex]\frac{17}{3}[/tex]
please hellp ......
Answer:
I DUNNO
Step-by-step explanation:
Answer:
BC = 19.371
Step-by-step explanation:
Use the cosine ratio:
Cos(71°) = 6.3/BC
BC = 6.3/Cos(71°)
BC = 19.371 cm
That's it, Best Regards!
Pls help ima mark BRAINLIST and give u a like
Answer:
C
Step-by-step explanation:
You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.
Answer:
C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]
Step-by-step explanation:
Well I went to Desmos and graphed them.
look at the image below
(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis
Answer:
Original Coordinates: (-4, 5)
Step-by-step explanation:
We simply take the opposite directions to find our original coordinates.
Step 1: Translate 3 units down
(-4, -2) --> (-4, -5)
Step 2: Reflect over x-axis
(-4, -5) --> (-4, 5)
Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
Answer:
There are 26 students in the class
Step-by-step explanation:
Let n millilitres be the solution in the beaker
Let x be the number of students in a class
He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.
So, Solution distributed = 3x
Remaining solution = n-3x
So, n-3x = 5 ----1
In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.
So, n-4x=-21 -----2
Substitute the value of n from 1 in 2
So, 5+3x-4x=-21
5-x=-21
26=x
Hence There are 26 students in the class
What is the percent equivalent for 1/5? A. 0.2% B. 0.5% C. 20% D. 50%
Answer:
20%
Step-by-step explanation:
1/5 = 2/10. 2/10 = 0.2, or 20 hunderedths, or 20%.
Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r equals 40.05 ft (Upper V (r )equals four thirds pi r cubed ). When r changes from 40 ft to 40.05 ft, Upper DeltaValmost equals nothing ftcubed.
Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:
[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]
Where [tex]r[/tex] is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]
The derivative of the volume as a function of radius is:
[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]
Then, the change in volume is expanded:
[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]
If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:
[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]
[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the following systems of equations could be used to find the number of each coin?
Answer:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
Step-by-step explanation:
Given that there is a collection of nickels and quarters.
Let N be the number of coins of nickels and
Q be the number of coins of quarters.
It is given that total number of coins are 32.
Number of coins of nickels + Number of coins of quarters = 32
[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.
Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]
and value of a one nickel coin = 5 cents = $0.05
Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]
Similarly,
Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]
Total value of coins is 3 dollars.
[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.
So, the answer is:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?
Answer:
the following model the membership cost is p=250+42m
Jenny is solving the equation 3 x + 5 = 4 x + 2 using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which explains which Jenny should do first?
Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal
Answer:
C
Step-by-step explanation:
correct on edgen i took the test
All atoms of the same element:
O have the same number of atoms
O have the same number of neutrons
O have the same number of electrons
have the same number of protons
Answer:
last one
Step-by-step explanation:
All atoms of the same element will always have the same atomic number and since atomic number indicates the amount of protons in its nucleus the answer is "have the same number of protons).
Answer: The last one
Step-by-step explanation:
All atoms have to have the same number of electrons or else they are not classified as that element.
I'm not sure if I clicked the right answer, I hope you can help me :D
Help me with this somebody.
Answer:
B, √140
Step-by-step explanation:
√28+√112 = √140
Mr. sanders recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work. According to the table, what was the rate of change between January and May? Answers A) $67 Per Month B) $50 Per Month C) $53 Per Month D) $0 Per Month
Answer:
D) $0 Per Month.
Step-by-step explanation:
In January, Mr. Sanders spent $50 on gas. In May, Mr. Sanders spent $50 on gas. The amount that he spent on gas did not change from January to May, so the rate of change between January and May is D) $0 Per Month.
Hope this helps!
Please answer the question now in two minutes
Answer:
the first three options
Step-by-step explanation:
they all have shared points
Find the area of triangle ABC whose vertices are
A (-5, 7), B (-4, -5) and C (4, 5).
Answer:
[tex]Area = 51\:unit^2[/tex]
Step-by-step explanation:
[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}\quad and \quad p=\frac{a+b+c}{2}[/tex]
Find the distance between three points.
[tex]\overline{AB}=\sqrt{\left(-4-\left(-5\right)\right)^2+\left(-5-7\right)^2}=12\\\\\overline{BC}=\sqrt{\left(4-\left(-4\right)\right)^2+\left(5-\left(-5\right)\right)^2}=12.8\\\\\overline{AC}=\sqrt{\left(4-\left(-5\right)\right)^2+\left(5-7\right)^2}=9.2[/tex]
[tex]p=\frac{12+12.5+9.2}{2}=16.9[/tex]
[tex]Area = \sqrt{16.9\left(16.9-12\right)\left(16.9-12.8\right)\left(16.9-9.2\right)}\\\\=51\:unit^2[/tex]
Best Regards!
Answer:
53 sq.unitssolution,
A(-5,7)--->(X1,y1)
B(-4,-5)-->(x2,y2)
C(4,5)--->(X3,y3)
Now,
Area of triangle:
[tex] \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) \\ = \frac{1}{2} ( - 5( - 5 - 5) + ( - 4)(5 - 7) + 4(7 - ( - 5) \\ = \frac{1}{2} ( - 5 \times ( - 10) + ( - 4) \times ( - 2) + 4 \times 12) \\ = \frac{1}{2} (50 + 8 + 48) \\ = \frac{1}{2} \times 106 \\ = \frac{106}{2} \\ = 53[/tex]
hope this helps...
Good luck on your assignment..
I need help with this
Answer:
44
Step-by-step explanation:
MRQ=136
In a straight line there is 180 degrees
180-136=44
MRS=44 degrees
alternates angle is a z shape so NMRS is one
So you then RMP is 44 degrees.
Hope it helps just tryed
PLEASE ANSWER THESE TWO GEOMETRY QUESTIONS ASAP FOR ME PLEASE!!
Answer:
~101.5 (area of the shaded area in upper figure)
and
~54.4 (area of the shaded area in lower figure)
Step-by-step explanation:
I attached an image for clarification (please see).
The same approach can be applied to solve these two problems.
As seen in attached image, the shaded area of the 1st figure is the sum of the area of a regular triangle and 3 equal portions.
The area of the regular triangle with side = 12 is:
A1 = side^2 x sqrt(3)/4 = 12^2 x sqrt(3)/4 = 36sqrt(3)
The area of the regular triangle + the area of a portion is:
A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 12^2 x (1/6) = 24pi
=> The area of a porition is:
A3 = A2 - A1 = 24pi - 36sqrt(3)
=> Area of the shade area:
A4 = A1 + 3 x A3 = 36sqrt(3) + 3 x (24pi - 36sqrt(3)) = ~101.5
**************************
For the second figure, the shaded area could be divided into 6 equal parts, each part is inside a regular triangle and is calculated by:
A = the area of the regular triangle - the area of 2 equal portions (white color).
The area of the regular triangle with side = 6 is:
A1 = side^2 x sqrt(3)/4 = 6^2 x sqrt(3)/4 = 9sqrt(3)
The area of the regular triangle + the area of a portion is:
A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 6^2 x (1/6) = 6pi
=> The area of a porition is:
A3 = A2 - A1 = 6pi - 9sqrt(3)
=> Area of a part (including the regular triangle and excluding 2 equal portions):
A4 = A1 - 2 x A3 = 9sqrt(3) - 2 x (6pi - 9sqrt(3))
=> Area of shaded area:
A5 = 6 x A4 = 6 x [9sqrt(3) - 2 x (6pi - 9sqrt(3)) ] =~54.4
A sphere has a volume of V=2304 in^3. Find its surface area.
Answer:
The surface area of the sphere is:
[tex]Surface_{sphere}=843.6\,\, in^2[/tex]
Step-by-step explanation:
Recall the two following important formulas:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]
where R is the radius of the sphere.
Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]
Now, knowing the radius, we can estimate the surface of the sphere using the other formula;
[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]
.......................
Answer:
Width: [tex]10y^6[/tex]
Length: 7y² + 3
Step-by-step explanation:
Step 1: Factor out 10
[tex]10(7y^8+3y^6)[/tex]
Step 2: Factor out [tex]y^6[/tex]
[tex]10y^6(7y^2+3)[/tex]
According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).