Answer:
The volume of the sphere is 24 cm³
Step-by-step explanation:
* Lets explain the difference between the cylinder and the sphere
- The cylinder has two circular bases and a curved surface
- The bases of the cylinder have radius r and the curved surface has
a height h
- The volume of the cylinder = area of its base × its height
∵ The area of the circle is πr²
∴ The volume of the cylinder is V = π r² h
- A sphere is a perfectly round geometrical object in three-dimensional
space
- It the set of points that are all at the same distance r from a given point
that means its radius equals its height
- The volume of the sphere = 4/3 π r³
* Now lets solve the problem
∵ The cylinder and the sphere have the same radius and height
∵ The volume of the cylinder is 18 cm³
- Lets equate the rule of the volume of the cylinder by 18
∵ The volume of the cylinder = π r² h
∴ π r² h = 18 ⇒ divide both side by π
∴ r² h = 18/π
- The sphere and the cylinder have the same radius and height
∴ The radius and height of the sphere have the same value of the
cylinder
∵ The the height of the sphere is its radius
∴ r²h of the cylinder = r³ in the sphere
∴ r³ = 18/π
- Substitute this value in the rule of the volume of the sphere
∵ The volume of the sphere = 4/3 π r³
∴ The volume of the sphere = 4/3 π (18/π) ⇒ cancel π's
∴ The volume of the sphere = 4/3 (18) = 24 cm³
* The volume of the sphere is 24 cm³
Write an explicit rule to represent the sequence:
Write an explict ride to represent the sequence
20, 24, 28, 32, 36,...
[tex]a_n=4n+16[/tex]
Answer:
+4
Step-by-step explanation:
36-4=32
32-4=28
28-4=24
24-4=20
20+4=24
24+4=28
28+4=32
32+4=36
What is the factored form of x2 - 6x - 16?
0 (X - 4)(x - 2)
(x + 4)(x - 2)
(x - 2)(X + 8)
(x - 3)(x + 2)
0
0
0
Answer:
(x + 2)(x - 8)
Step-by-step explanation:
You had your signs altered. You want your B to result in -6, not 6.
I am joyous to assist you anytime.
I'LL INSTANTLY MARK YOU BRAINLY PLS HELP MEEE
How many hours are there in a year without Thursdays and Saturdays?
Answer:
7512 hours
Step-by-step explanation:
There are 8760 hours in a year.
There are 52 hours on Thursdays and Saturdays in a year.
The number of hours for Thurdays and Saturdays in a year is 1248.
8760-1248= 7512
thursdays and saturdays are the best days
f(x) = 70x + 50
g(x) = 22
Which sentence most accurately compares the graphs of the
functions f(x) and g(x)?
Select one
_______________________
•The graph of g(2) will be above the graph of f(x) for all values of x
•At the y-axis, the graph of f(x) is above g(2) but the graph of g(2) eventually
overtakes (2)
•At the y-axis, the graph of g(x) is above f (2), but the graph of f(x) eventually
overtakes g(2)
•The graph of f(2) will be above the graph of g(2) for all values of x
Answer: 4. The graph of f(2) will be above the graph of g(2) for all values of x
1. y is always 22 no matter what x value, g(2) = 22. However f(x) is a linear equation which increases vertically right up, so the y = (-∞, ∞ )
So not accurate
2. f(x) meets y axis at (0,50) while g(x) meets at (0,22), however, g(2) is (2,22) while f(x) is 190.
So not accurate
3. graph g(x) is not above f(2)
4. It is accurate
If / (x) = 2(x)2 +5/(x+2), complete the following statement:
f2) = _
Answer:
18
Step-by-step explanation:
f(x) = 2(x)^2 +5 sqrt(x+2)
Let x =2
f(2) =2(2)^2 +5 sqrt(2+2)
= 2 *4 + 5 (sqrt(4))
= 8 + 5*2
= 8 + 10
= 18
which could be the measures of angle POS and angle POQ
The measures of angle POS and angle POQ cannot be determined without further information.
Explanation:The measures of angle POS and angle POQ can vary depending on the context of the problem or the given information. Without specific details, we cannot determine the exact measures of these angles.
Learn more about angle measures here:https://brainly.com/question/31186705
#SPJ2
Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?
ANSWER
He did not square 40, he just multiplied by 2.
EXPLANATION
According to the Pythagoras Theorem, the sum of the square of the shorter legs equals the square of the Hypotenuse.
Hans correctly applied the Pythagoras Theorem to obtain:
[tex] {9}^{2} + {40}^{2} = {c}^{2} [/tex]
The next correct step is to evaluate the squares to obtain:
[tex]9 \times 9+ {40} \times 40= {c}^{2} [/tex]
Which gives
[tex]81+1600= {c}^{2} [/tex]
But Hans mistakenly multiplied the exponent of the second square by the base to get
[tex]9 \times 9+ {40} \times2= {c}^{2} [/tex]
Which simplifies to;
[tex]81+ 80= {c}^{2} [/tex]
Therefore the error is that,he did not square 40, he just multiplied by 2.
The first choice is correct.
Answer:
Error: He did not square 40, he multiplied by 2
In calculation of 40² ( Correct was 1600 but he did 80)
The length of hypotenuse is 41 cm
Step-by-step explanation:
Given: In the given right angle triangle.
The two legs are 40 and 9.
The hypotenuse is c
Using Pythagoras theorem,
[tex]c^2=a^2+b^2[/tex]
where, a and b are legs and c is hypotenuse
a=40 , b=9
Substitute into formula
[tex]c^2=40^2+9^2[/tex]
[tex]c^2=1600+81[/tex] Error
Hans did mistake here to calculate square of 40.
instead of square Hans multiply 40 and 2.
[tex]c^2=1600+81[/tex]
[tex]c^2=1681[/tex]
Taking square root
[tex]c=\sqrt{1681}[/tex]
[tex]c=41[/tex]
Hence, The length of hypotenuse is 41 cm
Error: In calculation of 40²
The equation of the line passing through the ordered pair (a,0) and parallel to the line x + 2y = 7 is.
Answer:
The equation of the parallel line is x + 2y = a
Step-by-step explanation:
* lets revise the general form of the linear equation
- The general form of the linear equation is ax + by + c = 0, where
a , b , c are real numbers
- The linear equation represented by a line its slope = -a/b and
intersects the y-axis at point (0 , -c/b) means y-intercept = -c/b
- The parallel lines have equal slopes and different y-intercepts
* Now lets solve the problem
- There is a line with equation x + 2y = 7
- Put the equation in the general form
∵ x + 2y = 7 ⇒ subtract 7 from both sides
∴ x + 2y - 7 = 0
∵ ax + by + c = 0 is the general form of the linear equation
∴ a = 1 , b = 2 , c = -7
∵ The slope of the line is -a/b
∴ The slope of the line -1/2
- We need to find the equation of the parallel line which has the
same slope
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the line is -1/2
∵ The slope depends on a and b
∴ The line has the same value of a and b
∵ a = 1 and b = 2
∵ ax + by + c = 0
∴ The equation of the line is x + 2y + c = 0
- To find c substitute x and y in the equation by the coordinates of
any point on the line
∵ The line passing through point (a , 0)
- Substitute x by a and y by 0
∴ a + 2(0) + c = =
∴ a + c = 0 ⇒ subtract a from both sides
∴ c = -a
- Substitute the value of c in the equation by - a
∴ The equation of the line is x + 2y - a = 0 ⇒ add a for both sides
∴ The equation of the line is x + 2y = a
* The equation of the parallel line is x + 2y = a
- They are equal in slopes and different in y-intercepts
Final answer:
The equation of the line passing through the point (a, 0) and parallel to x + 2y = 7 is y = -0.5x + 0.
Explanation:
To find the equation of a line parallel to the line x + 2y = 7 and passing through the point (a, 0), we need to determine its slope. This can be done by rearranging the given equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we rewrite the given equation as 2y = -x + 7 and then divide everything by 2 to get y = -0.5x + 3.5. Since the line we're looking for is parallel to this line, it will have the same slope of -0.5.
So, the equation of the line passing through (a, 0) and parallel to x + 2y = 7 is y = -0.5x + 0.
How does the volume of a cone compare to the volume of a cylinder with the same radius and height?
one-third of the volume
one-half of the volume
twice the volume
triple the volume
Answer:
one-third of the volumeStep-by-step explanation:
[tex]\text{The formula of volumes of:}\\\\a\ cone:\ V_{cone}=\dfrac{1}{3}\pi r_1^2H_1\\\\a\ cylinder:\ V_{cylinder}=\pi r_2^2H_2\\\\\text{If cone and cylinder are with the same radius and height, then:}\\\\r_1=r_2=r\ \text{and}\ H_1=H_2=H\\\\V_{cone}=\dfrac{1}{3}\pi r^2H,\ V_{cylinder}=\pi r^2H\to V_{cone}=\dfrac{1}{3}V_{cylinder}[/tex]
Perform the indicated operation. 4m^3/n^2 / 2m/n.
Possible answers:
2m^3/n.
2m^2/n
2m/n
Answer:
2m^2 / n.
Step-by-step explanation:
4m^3/n^2 / 2m/n.
Invert the last term and multiply:
= 4m^3 / n^2 * n/2m
= 4m^3 n / 2mn^2
= 2m^2 / n.
Answer:
2m^2 / n.
Step-by-step explanation:
Urgent!!!!!!!!!!
Given that AB/DE = BC/EF = 1/2, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
1st box: congruent, parallel, or perpendicular
2nd box: A and D, B and E, or C and F
3rd box: congruent, supplementary, or vertical
Answer:
1st box ⇒ perpendicular
2nd box ⇒ B and E
3rd box ⇒ congruent
Step-by-step explanation:
* Lets revise the case SAS of similarity
- SAS similarity : In two triangles, if two sets of corresponding sides
are proportional and the included angles are equal then the two
triangles are similar.
- Example : In triangle ABC and DEF, if m∠A = m∠D and
AB/DE = AC/DF then the two triangles are similar by SAS
* Lets solve the problem
- In Δ ABC and Δ DEF
∵ AB/DE = BC/EF = 1/2
- That means two sets of corresponding sides are proportion
∵ AB is a vertical side and BC is a horizontal side
∵ DE is a vertical side and EF is a horizontal side
∵ Horizontal and vertical lines are perpendicular
∴ AB ⊥ BC and DE ⊥ EF
- So angles B and E are right angles by definition of perpendicular
lines
∵ All right angles are congruent
∴ m∠B = m∠D
∵ The two triangles have two sets of corresponding sides are
proportion and the included angles are equal then the two
triangles are similar
∴ △ABC ~ △DEF by the SAS similarity theorem
Answer:
1. Perpendicular
2. B and E
3. Congruent
Step-by-step explanation:
Horizontal and vertical lines are always perpendicular. So, the answer for the first gap is PERPENDICULAR.
Line BC is horizontal line, line AB is vertical line, so lines BC and AB are perpendicular and, therefore, angle B is right angle. Line EF is horizontal line, line ED is vertical line, so lines EF and ED are perpendicular and, therefore, angle E is right angle. So, answer for the second option is angles B and E.
Every two right angles are congruent.
Having two pairs of proportional sides and a pair of congruent adjacent angles, you can apply SAS similarity Postulate.
Which of the following expressions is equal to x^2+25
[tex]\bf \textit{recall that }i^2=-1 \\\\[-0.35em] ~\dotfill\\\\ x^2+25\implies x^2+5^2\implies x^2-(-5^2)\implies x^2-(-1\cdot 5^2)\implies x^2-(i^2\cdot 5^2) \\\\\\ \stackrel{\textit{difference of squares}}{x^2-(5i)^2}\implies (x-5i)(x+5i)[/tex]
Answer:
The correct option is A.
Step-by-step explanation:
The given expression is
[tex]x^2+25[/tex]
[tex]x^2+5^2[/tex]
[tex]x^2-(-5^2)[/tex]
We know that [tex]i^2=-1[/tex].
Using this value the given expression can be written as
[tex]x^2-(i^25^2)[/tex]
[tex]x^2-(5i)^2)[/tex] [tex][\because a^mb^m=(ab)^m][/tex]
[tex](x-5i)(x+5i)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
The given expression is equal to the expression (x-5i)(x+5i).
Therefore the correct option is A.
Which quadratic equation is equivalent to (X-4)^2-(x-4)-6=0
Where u=x-4?
Answer:
see explanation
Step-by-step explanation:
letting u = x - 4 means the equation can now be expressed as a quadratic
u² - u - 6 = 0 ← quadratic equation in u
Answer:
[tex]u^2 - u - 6 = 0[/tex]
Step-by-step explanation:
We are given [tex](x - 4)^2 - (x -4) -6 = 0[/tex] and u = x - 4
Now we have to replace (X - 4) by "u".
So, we get
[tex]u^2 - u - 6 = 0[/tex]
Here the highest degrees of the equation is 2. Which is called a quadratic equation.
The general form of quadratic equation is [tex]ax^2 + bx + c = 0[/tex], where a≠ 0.
Therefore, the answer is [tex]u^2 - u - 6 = 0[/tex]
Please help! 30 POINTS!!!
Answer:
C, D, A
Step-by-step explanation:
Fraction 4 over 5 n = Fraction 2 over 3. n = ___?
MUST HAVE EXPLANATION OR WILL BE REPORTED
Fraction 2 over 15
Fraction 5 over 6
1 Fraction 1 over 5
1 Fraction 7 over 15
Answer:
Step-by-step explanation:
(4/5)n = (2/3)
move 4/5 to the right
n = (2/3)/(4/5)
n = 5/6
If the graph of the following parabola is shifted one unit left and two units up, what is the resulting equation in vertex form? x^2=12
ANSWER
[tex]{(x + 1)}^{2} =12(y - 2)[/tex]
EXPLANATION
The original parabola has equation
[tex] {x}^{2} = 12y[/tex]
This parabola has its vertex at the origin:
If the parabola is shifted one unit left and two units up, then its new vertex is at (-1,2).
The equation of the new parabola is now of the form:
[tex] {(x - h)}^{2} =1 2(y - k)[/tex]
where (h,k) is the vertex.
Substitute the vertex to get:
[tex] {(x - - 1)}^{2} =12(y - 2)[/tex]
[tex]{(x + 1)}^{2} =12(y - 2)[/tex]
What is the 12th term in the sequence?
12, 15, 18, 21, ...
a) 38
b) 45
c) 42
d) 48
Answer:
45
Step-by-step explanation:
every term in the sequence is 3 more than the last, so:
12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45
1 2 3 4 5 6 7 8 9 10 11 12
45 is the 12th term
Answer:
Option b - 45
Step-by-step explanation:
Given : Sequence 12,15,18,21,...
To find : What is the 12th term in the sequence?
Solution :
Sequence 12,15,18,21,... is an arithmetic progression.
Where, first term is a=12
Common difference is d=15-12=3
The nth term of the sequence is
[tex]a_n=a+(n-1)d[/tex]
The 12th term is
[tex]a_{12}=12+(12-1)(3)[/tex]
[tex]a_{12}=12+(11)(3)[/tex]
[tex]a_{12}=12+33[/tex]
[tex]a_{12}=45[/tex]
Therefore, The 12th term of the sequence is 45.
So, Option b is correct.
Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto itself? a coordinate plane with figure ACB with point A at 1, 1, C at 3, 4 and B at 5, 1 Yes, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5) Yes, A″C″B′ is located at A″(1, 1), C″(3, 4), and B″(5, 1) No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5) No, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
Answer:
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
Step-by-step explanation:
The triangle has vertices A(1,1), B(5,1), C(3,4).
First transformation is reflection over y-axis with the rule
(x,y)→(-x,y)
so,
A(1,1)→A'(-1,1)B(5,1)→B'(-5,1)C(3,4)→C'(-3,4)Second transformation is rotation by 270° counterclockwise with the rule
(x,y)→(y,-x)
so
A'(-1,1)→A''(1,1)B'(-5,1)→B''(1,5)C'(-3,4)→C''(4,3)No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
Step-by-step explanation:
What program do you guys use to do the fancy stuff that the guy above did, because I gotta do it by paper and it's annoying lol
UM Rignt triangles
Pre-Test
Active
UNE REVANING
32:06
Sanjay, Colby, and Arpitha are training to run a marathon. On Saturday, Sanjay ran
[tex] \sqrt{125} [/tex]
miles, Colby ran 13 miles,
and Arpitha ran along the route from the library to her house, as shown in the diagram.
Arpitha's Home
9 miles
6 miles
Library
Which list shows the names in order from the person who ran the shortest distance to the one who ran the greatest
distance?
Colby, Sanjay, Arpitha
Sanjay, Arpitha, Colby
Mark this and retum
Save and Exit
Next
Submit
Answer:sanjay
Step-by-step explanation:
ASAP I NEED TO GRADUATE THIS WEEK
1. How many dice 2 cm long, 2 cm wide, and 2 cm high would
fit into a box 20 cm long, 12 cm wide, and 8 cm high?
a. 240
b. 320
c. 400
Answer:
Part 1) Option a. [tex]240\ dices[/tex]
Part 2) Option c. [tex]9.156.24\ pounds[/tex]
Step-by-step explanation:
Part 1)
step 1
Find the volume of one dice
The volume is equal to
[tex]V=b^{3}[/tex]
we have
[tex]b=2\ cm[/tex]
substitute
[tex]V=2^{3}=8\ cm^{3}[/tex]
step 2
Find the volume of the box
The volume is equal to
[tex]V=LWH[/tex]
we have
[tex]L=20\ cm[/tex]
[tex]W=12\ cm[/tex]
[tex]H=8\ cm[/tex]
substitute
[tex]V=20*12*8=1,920\ cm^{3}[/tex]
step 3
Find the number of dices
Divide the volume of the box by the volume of one dice
[tex]1,920/8=240\ dices[/tex]
Part 2)
step 1
Find the volume of the cylinder
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=9\ ft[/tex]
[tex]h=12\ ft[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=(3.14)(9)^{2}(12)[/tex]
[tex]V=3,052.08\ ft^{3}[/tex]
step 2
Find how many pounds of sand will fit into the cylinder
using proportion
[tex]\frac{3}{1}\frac{pounds}{ft^{3}}=\frac{x}{3,052.08}\frac{pounds}{ft^{3}}\\ \\x=3,052.08*3\\ \\x=9.156.24\ pounds[/tex]
what is
equivalent to 3 root 8 1/4
[tex]\bf 3\sqrt{8\frac{1}{4}}~\hfill \stackrel{mixed}{8\frac{1}{4}}\implies \cfrac{8\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{33}{4}} \\\\\\ 3\sqrt{\cfrac{33}{4}}\implies 3\cdot \cfrac{\sqrt{33}}{\sqrt{4}}\implies 3\cdot \cfrac{\sqrt{33}}{\sqrt{2^2}}\implies \cfrac{3\sqrt{33}}{2}[/tex]
WILL MAKE YOU BRAINLIEST PLS HELP ASAP
which expression is equivalent to ^3 sqrt x^ 5 y?
Answer: B
Step-by-step explanation:
x^1/2 is equal to √x meaning that the denominator will be the number in front of the √ sign.
so...
x^5/3 y^1/3 will be right
Richard’s store sells pineapples and grapefruits. Pineapples originally cost $5.15 apiece, and grapefruits originally cost $2.25 apiece. Richard reduced the prices to $3.88 for a pineapple and $1.56 for a grapefruit. Which fruit had its price reduced by a greater percent, and how many percentage points greater was that reduction than the other? Round to two decimal places. (Express your answer in percentage points; for example, 15% is 3 percentage points greater than 12%.) a. The price of pineapples experienced a reduction 5.99 percentage points greater than the price of grapefruits. b. The price of pineapples experienced a reduction 19.90 percentage points greater than the price of grapefruits. c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples. d. The price of grapefruits experienced a reduction 11.50 percentage points greater than the price of pineapples.
Answer:
c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.
Step-by-step explanation:
The original price of Pineapples=$5.15
New price of Pineapples=$3.88
Find change in price of Pineapples
Change in price=original price- new price
[tex]=5.15-3.88=1.27[/tex]
The price of Pineapple was reduced by $1.27
% reduction in price
(reduction value/original value) × 100
[tex]=\frac{1.27}{5.15} *100=24.66[/tex]
=24.66%
The original price of grape fruits=$2.25
New price of grape fruits=$1.56
Change in price of grape fruit
Change in price= original price -new price
[tex]=2.25-1.56=0.69[/tex]
% reduction in price of grape fruits
(reduction value/original value)×100
[tex]=\frac{0.69}{2.25} *100=30.67[/tex]
=30.67%
Answers
The fruit that has its price reduced by a greater percentage is grape fruit
How many percentage points greater = 30.67%-24.66% = 6.01 points
Answer:
The answer is C on Edge 2020
Step-by-step explanation:
I just took a quiz.
An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle above?
Answer:
[tex]\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}[/tex]
Step-by-step explanation:
The length of the base is the distance between the points 4+2i and 10+4i, so
[tex]\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}[/tex]
The middle point of the base is placed at point
[tex]\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i[/tex]
The length of the height is the distance between the points 5+9i and 7+3i
[tex]\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}[/tex]
So, the area of the triangle is
[tex]A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}[/tex]
Answer:
A
Step-by-step explanation:
did on edge
Random 100 Points!But please answer
Answer:
Joseph will have to pay $133.20 for the television.
Step-by-step explanation:
740 x 0.6 = 444
444 x 0.3 = 133.2
Answer:
133.20
Step-by-step explanation:
First we need to find the cost of the tv on sale
The discount is 740 * 40%
740 *.4
296
The new price is the original price minus the discount
740 -296
444
Joseph has to pay 30% of the cost
444* 30%
444 *.3
133.2
He will have to pay 133.20
Can someone help me with this I keep getting an answer that it doesn’t give me! And explain it!!!
[tex](100\%-15\%-25\%)\cdot240=60\%\cdot240=144[/tex]
Answer:
C) 144
Step-by-step explanation:
Somewhat Dissatisfied is 15%, and Completely Dissatisfied is 25%. The two dissatisfied parts add to 40%.
That means the two satisfied parts add to 60%.
60% were either Somewhat Satisfied or Completely Satisfied.
240 customers responded to the survey.
60% of 240 = 0.6 * 240 = 144
Answer: C) 144
Find the product. Simplify your answer. (9/4s) (9t/-1)
Answer:
Improper fraction (-81t/ 4s)
Mixed number (-20 1/4) (t/s)
Step-by-step explanation:
Multiply the numerators
9(9t) = 81t
Multiply the denominators
4s* (-1) = -4s
Put the numerator over the denominator
81t / -4s
If they want the answer as an improper fraction -81t/4s
If they want a mixed number
81/4 = 20 with 1 left over
20 1/4
Then multiply by (-t/w)
(-20 1/4) (t/s)
Max is reading a 676-page book and wants to
evenly divide the number of pages he reads
over 30 days. How many full pages should he
read each day? How many pages would he
have left to read?
Answer: Max should read 22 full pages a day, and he will have 16 pages left to read.
Step-by-step explanation:
First, divide 676 by 30. The answer you get is 22.53.
This means that Max should read 22 pages a day.
Next, you should multiple 22 by 30. The answer you get is 660.
Finally, subtract 660 from 676. You will end up with 16.
Answer:
22 R 16
Step-by-step explanation:
A line has a slope of . Which ordered pairs could be points on a parallel line? Check all that apply.
Answer:(–8, 8) and (2, 2) (–2, 1) and (3, –2)
Step-by-step explanation:
PLEASE ANSWER! 10 Points
Solve the equation below
A. x = -2
B. x = 0, 2
C. x = 2
D. x = 0, -2
Step-by-step explanation:
refer the attachment......
ANSWER
C. x=2
EXPLANATION
The given equation is
[tex] \frac{x + 4}{6x} = \frac{1}{x} [/tex]
Cross multiply to get,
[tex]6x = x(x + 4)[/tex]
Expand to get:
[tex]6x = {x}^{2} + 4x[/tex]
[tex] {x}^{2} + 4x - 6x = 0[/tex]
[tex] {x}^{2} - 2x = 0[/tex]
[tex]x(x - 2) = 0[/tex]
[tex]x = 0 \: or \: x = 2[/tex]
But the domain is
[tex]x \ne0[/tex]
Therefore the solution is x=2.