Answer:
(3 + 4x)(9 - 12x + 16x²) = 0
(4m - 1)(16m² + 4m + 1) = 0
Step-by-step explanation:
Here we have to solve the sum of two cubes which is [tex]27 + 64x^{3}[/tex]
Now, the equation is [tex]27 + 64x^{3} = 0[/tex]
⇒ 3³ + (4x)³ = 0
⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0
⇒ (3 + 4x)(9 - 12x + 16x²) = 0
So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0
Therefore, from the above two relation we can solve for x.
One root will be [tex]- \frac{3}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.
Again, we have to solve the difference of two cubes which is [tex]64m^{3} - 1[/tex]
Now, the equation is [tex]64m^{3} - 1 = 0[/tex]
⇒ (4m)³ - 1³ = 0
⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0
⇒ (4m - 1)(16m² + 4m + 1) = 0
So, (4m - 1) = 0 or (16m² + 4m + 1) = 0
Therefore, from the above two relation we can solve for m.
One root will be [tex] \frac{1}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation. (Answer)
133/13 as a mixed number
Answer:
10 3/13
Step-by-step explanation:
Answer:
[tex]\large\boxed{\dfrac{133}{3}=10\dfrac{3}{13}}[/tex]
Step-by-step explanation:
[tex]\dfrac{133}{13}=\dfrac{130+3}{13}=\dfrac{130}{3}+\dfrac{3}{13}=10+\dfrac{3}{13}=10\dfrac{3}{13}[/tex]
draw the vertices of the triangle below to draw a right triangle with side lengths 3, 4, 5
A graph of a right-angled triangle, ΔABC with side lengths of 3, 4, and 5 units is shown in the picture below.
In Mathematics and Euclidean Geometry, a triangle is a two-dimensional geometric shape that comprises three side lengths, three vertices and three angles only.
Generally speaking, there are five major types of triangle based on the length of their side lengths and angles, and these include the following;
Equilateral triangleScalene triangleIsosceles triangleObtuse triangleRight-angled triangleIn this scenario, the lengths of three of the sides of the triangle and the measure of the included angle are;
AB = 3 units with vertices A (0, 3)
BC = 4 units with vertices B (0, 0).
AC = 5 units with vertices C (4, 0)
m∠B = 90 degrees.
In conclusion, we would use an online graphing tool to plot this right-angled triangle as shown in the image attached below.
Complete Question:
Drag the vertices of the triangle below to draw a right triangle with side lengths 3, 4, and 5.
If the measure of angle QNT is 74,what is the measure of QPN?
Answer:
The answer is 148 degrees
Step-by-step explanation:
I'm pretty sure it is 148°... In my notes it says "if a tangent to a circle & a chord intersect at a point on the circle, then the measure of each angle they form is one-half the measure of its intercepted arc." Hope this helps...
Read more on Brainly.com - https://brainly.com/question/3819019#readmore
The measure of arc QPN is 148° if the measure of angle QNT is 74°.
Given a circle with center O.
TS is the tangent of the circle at point N.
From the figure, we have, ∠ONT = 90°, since the angle formed at the tangent by the diameter is always the right angle.
Now,
m∠ONT = m∠QNT + m∠ONQ
Substitute the values.
90° = 74° + m∠ONQ
m∠ONQ = 90 - 74 = 16°
Now, from triangle QNO, OQ = ON, since, both are radii of the same circle.
The angle which lies opposite to these sides will be also equal.
So, m∠ONQ = m∠OQN = 16°.
Now, by the angle sum property of a triangle, the sum of the interior angles of a triangle is 180°.
So,
m∠ONQ + m∠OQN + m∠QON = 180°
16° + 16° + m∠QON = 180°
m∠QON = 180° - (16° + 16°)
m∠QON = 148°
The measure of arc QPN is equal to the central angle = 148°
Learn more about Central Angles here :
https://brainly.com/question/29150424
#SPJ2
The complete question is given below:
Write an equation in slope intercept form for the line with slope -2/3 and y-intercept -5
Answer:
[tex]y = - \frac{2}{3} x - 5[/tex]
Step-by-step explanation:
slope intercept form is y =mx+b
m is the slope
b is the y intercept
if you have any questions feel free to ask :)
Lavita finally got her beautiful painting done it was a total of 1 2/3 meters. She was able to finish 3/8 each week. how many weeks in all did it take her to weave
Answer:
4 weeks
Explanation:
Length of Lavita’s painting = [tex]1 \frac{2}{3} m=\frac{5}{3} m[/tex]
Length she was able to finish each week= [tex]\frac{3}{8}m[/tex]
Now,
If she is able to finish[tex]\frac{3}{8}m[/tex] in 1 week
Then
[tex]\frac{3}{8}m[/tex] = 1 week
1 m = [tex]\frac{8}{3}m[/tex] week
Therefore
[tex]\frac{5}{3} m=\frac{8}{3} \times \frac{5}{3} \text { week }[/tex]
= [tex]\frac{40}{9}[/tex]week
=4.44 week
= 4 weeks (approx.)
Bill wants to make 22 small pizzas for a party. He has 16 cups of flour. Each pizza crust takes - cup of flour. Doe
he have enough flour?
3
You left out how much flour each pizza needs. Without that info no one can answer teh question.
2y=5x+1
Not a direct variation
Direct variation, constant of variation is -
Direct variation, constant of variation is
Direct variation, constant of variation is 1--
Answer:
Step-by-step explanation:
he whole assignment seems to deal only with one simple concept, a direct variation
Sometimes text or your notes have definitions that are difficult to understand.
Here is the definition that is easy to understand:
A direct variation gives you an equation that contains no constants, and there are no exponents on the two variables.
e.g. y = 8x is a direct variation,
but y = 8x + 4 is NOT, since I see a constant of 4
a direct variation can be written in the form
y = kx , where k is the constant of variation
#1, not a variation, I see a +1 sitting there as a constant
#2, yes it is a direct variation:
-12x = 6y
6y = -12x
y = -2x
so the constant of variation is -2 , if y varies directly with x
or
-12x = 6y
x = -(1/2)x
now the constant of variation is -1/2 , if x varies directly as y
so it depends how you express the equation, either in terms of x or in terms of y
#3,
.7x - 1.4y = 0
.7x = 1.4y
1.4y = .7x
y = (.7/1.4)x = (1/2)x
so , yes it is, and the constant of variation is 1/2
From #4 on, you have to first find the equation.
I will do #4, you try the remaining.
#4, they tell us it is a direct variation, so it must look like
y = kx
They give us x=2 when y = -10
let's plug in those values:
-10 = k(2)
2k = -10
k = -5
aaahhhh, so y = -5x is our equation
#6, same way, just some fractions to deal with
#7, to graph, pick any x, and find the y to get ordered pairs,
e.g. let x = 3, then y = (1/3)(3) = 1, --> point(3,1)
let x = 9, then y = (1/3)(9) = 3 ---> point (9,3)
plot those two points, and join with a straight line
Notice how I picked multiple of 3's for my x's so I could take 1/3 of the x without ending up with fractions?
#8 , same as #7, pick multiples of 2 for your x's
#9 and #10 are the same type
#9
assume it is a direct variation, then its equation must be
y = kx
use the first given data: x = 3, y = 5.4
then 5.4 = k(3)
3k = 4.5
k = 1.5
equation is y = 1.5x
do the other points satisfy our equation?
for (7, 12.6)
is 12.6 = 1.5(7) ?
12.6 = 10.5 ??? NO, so the given data is NOT a direct variation
#10 same way
Answer:1. 2y=5x+1 answer is A Not a direct variation
2. -12x=6y answer is D Direct variation, constant of variation is -2
3. 0.7x-1.4y=0 answer is B Direct variation, constant is 1/2
4. y=-10 when x=2 answer is A y=-5x
5. y=7 1/2 when x=3 answer is C y=5/2 x
6. y=10.4 when x=4 answer is D y=2.6x
7. y=1/3 x answer is A the graph that reads (6, 2) where the green arrow is on the top right portion and on the bottom left is (-6, -2)
8 y=-1/2 x answer is C graph
9. the table x is first 3, 7, 12 y is next 5.4, 12.6, 21.6 answer is B Direct variation, y=1.8x
10. the table x is first -2, 3, 8 y is next 1, 6, 11 answer is A not a direct variation
p.s. this is for the direct variation practice
hope i helped
Step-by-step explanation:
Stiviko's approved work plan included 4 technicians to create 200 web pages
over 5 days. What was the unit metric for the production work?
Answer:
10 pages per technician per day is the unit metric for the production work.
Step-by-step explanation:
Consider the provided information.
Stiviko's approved work plan included 4 technicians to create 200 web pages over 5 days.
They can create 200 web pages over 5 days.
[tex]\frac{200}{5}=40[/tex]
That means in one day they can create 40 pages.
There are 4 technicians who work, therefore the unit metric for the production work is: [tex]\frac{40}{4}=10[/tex]
Hence, 10 pages per technician per day is the unit metric for the production work.
Answer:
10 pages per technician per day
Step-by-step explanation:
Justin got a sack of Jelly beans in 5 different colors. Half if them were red,1/6 were green,1/6 were yellow,1/12 were orange, and 6 were black. How many of each color did he get, and how many jelly beans were there in all
Answer:
Total number of Jelly beans in the sack = 72
Number of red beans = 36
Number of green beans = 12
Number of yellow beans = 12
Number of orange beans = 6
Number of black beans = 6
Step-by-step explanation:
Let total number of jelly beans be =[tex]x[/tex]
We are given fractions of different colors of beans. To find the exact number of beans we need to multiply the fraction with the total number of beans.
Fraction of total are red beans = [tex]\frac{1}{2}[/tex]
Number of red beans = [tex]\frac{1}{2}\times x= \frac{x}{2}[/tex]
Fraction of total are green beans = [tex]\frac{1}{6}[/tex]
Number of green beans = [tex]\frac{1}{6}\times x= \frac{x}{6}[/tex]
Fraction of total are yellow beans = [tex]\frac{1}{6}[/tex]
Number of yellow beans = [tex]\frac{1}{6}\times x= \frac{x}{6}[/tex]
Fraction of total are orange beans = [tex]\frac{1}{12}[/tex]
Number of orange beans = [tex]\frac{1}{12}\times x= \frac{x}{12}[/tex]
Number of black beans = 6
Total number of beans can be given as
[tex] \frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6[/tex]
Since we assumed total number of beans to be [tex]x[/tex], so we have.
[tex] \frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6=x[/tex]
Multiplying each term by 12 to remove fractions.
[tex] (12\times\frac{x}{2})+(12\times\frac{x}{6})+(12\times\frac{x}{6})+(12\times\frac{x}{12})+(12\times6)=12\times x[/tex]
[tex]6x+2x+2x+x+72=12x[/tex]
combining like terms.
[tex]11x+72=12x[/tex]
Subtracting both sides by [tex]11x[/tex]
[tex]11x+72-11x=12x=11x[/tex]
[tex]72=x[/tex]
∴ [tex]x=72[/tex]
Total number of Jelly beans in the sack = 72
Number of red beans = [tex]\frac{1}{2}\times 72= 36[/tex]
Number of green beans = [tex]\frac{1}{6}\times 72= 12[/tex]
Number of yellow beans = [tex]\frac{1}{6}\times 72= 12[/tex]
Number of orange beans = [tex]\frac{1}{12}\times 72= 6[/tex]
number of black beans = 6
Justin has 72 jelly beans in total. By dividing the total number accordingly, he has 36 red, 12 green, 12 yellow, 6 orange, and 6 black jelly beans.
Explanation:Calculating the Number of Jelly BeansLet's assume the total number of jelly beans Justin has is represented by the variable x. We know that half of them are red, so there are x/2 red jelly beans. Similarly, since 1/6 are green and another 1/6 are yellow, there are x/6 green jelly beans and x/6 yellow jelly beans. As for the orange jelly beans, they represent 1/12 of the total, which means Justin has x/12 orange jelly beans. We are given that there are 6 black jelly beans, which do not need to be divided into fractions. To find the total, x, we can write an equation considering all the portions mentioned and the known number of black jelly beans:
x/2 (red) + x/6 (green) + x/6 (yellow) + x/12 (orange) + 6 (black) = x
Finding a common denominator (12), we rewrite the equation:
6x/12 + 2x/12 + 2x/12 + x/12 + 6 = x
Combine like terms:
(6x + 2x + 2x + x)/12 + 6 = x
11x/12 + 6 = x
To solve for x, subtract 11x/12 from both sides:
6 = x - 11x/12
6 = x(12/12) - 11x/12
6 = (12x - 11x)/12
6 = x/12
Multiplying both sides by 12 gives us:
x = 72
So, Justin has a total of 72 jelly beans. Calculating the number for each color:
Red: x/2 = 72/2 = 36 red jelly beansGreen: x/6 = 72/6 = 12 green jelly beansYellow: x/6 = 72/6 = 12 yellow jelly beansOrange: x/12 = 72/12 = 6 orange jelly beansBlack: Given as 6 black jelly beansIn conclusion, Justin has 36 red, 12 green, 12 yellow, 6 orange, and 6 black jelly beans, adding up to a total of 72 jelly beans.
complete the square tov rewrite y=x^2+6x+2 in vertex form. then state whether the vertex is maximum or minimum and give its coordinates.
Answer:
x^2+6x+2 = (x+3)²-7
the vertex is minimum and its coordinates is (-3,-7)
Look at the photo below for more info.
The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that represents this problem. What is the area of the rectangle?
Answer:
Let l be the length and w the width of the rectangle.
P as the perimeter and A as the area.
length of a rectangle is four times the width:
w = w
l = 4w
System of equation : 2l + 2w = P
Substitute:
2(4w) + 2w = 45
8w + 2w
10w = 45
w = 45 / 10
w = 4.5
Solve for l:
l = 4w
l = 4(4.5)
l = 18
Area:
A = lw
A = 18(4.5)
A = 81 in²
Answer:
area =81 square inches
Step-by-step explanation:
width =w
lenght= 4w
2w + 2(4w)=45
10w=45
w=4.5
l= 4.5(4) = 18
4.5+4.5 +18+18 = 45
Area = l*w
4.5*18 = 81
Area= 81 square inches
A collector has 120 movie posters and 100 band posters. She wants
to sell 24 movie posters but still have her poster collection maintain
the same ratio of 120:100. If she sells 24 movie posters, how many band
posters should she sell? Explain.
Answer:
She should sell 20 band posters from total 80 to keep the maintain the same ratio.
Step-by-step explanation:
The total number of movie posters collector has = 120
The total number of band posters collector has = 80
The current ratio of movie poster : band poster = 120 : 100
or, reducing the ratio further, we get
ratio of movie poster : band poster = 6 : 5 ...... (1)
Now, the number of posters she wants to sell = 24
So, the remaining movie poster left = 120 - 24 = 96
Let us assume she sells m band posters to keep the ratio equal.
So, the number of band posters she is left with = 100 - m
⇒The ratio of movie poster left : band poster left = 96 : 100 - m .. (2)
Now here as the ratio remains same after selling m band posters, so
[tex]\frac{6}{5} = \frac{96}{100 - m} \\\implies 100 - m = 96 \times\frac{5}{6} = 80\\or, 100 - 80 = m\\\implies m= 20[/tex]
or, m = 20
Hence, she should sell 20 band posters from total 80 to keep the maintain the same ratio.
Please help! The question is in the pic!
Answer:
B. -x + 8
Step-by-step explanation:
Given expression
[tex]\dfrac{8-4(x-6)}{4}[/tex]
Consider the numerator [tex]8-4(x-6).[/tex]
First, use distributive property:
[tex]8-4(x-6)=8-(4x-24)[/tex]
Open the brackets:
[tex]8-(4x-24)=8-4x+24[/tex]
Combine the like terms:
[tex]8-4x+24=(8+24)-4x=32-4x[/tex]
Again use distributive property:
[tex]32-4x=4\cdot 8-4x=4(8-x)[/tex]
Now, the expression is
[tex]\dfrac{4(8-x)}{4}=8-x\ \text{or}\ -x+8[/tex]
10 • 1/10 =1 a) This is an example of the additive inverse property
b)This is an example of the additive identity property.
c)This is an example of the multiplicative inverse property.
d)This is an example of the multiplicative identity property.
Answer:
C) Multiplicative Inverse Property
Step-by-step explanation:
Because 1/10 is the inverse of 10.
For example, 15*(1/15)=1.
Answer:
C
Step-by-step explanation:
14 POINTS!!!!
Use the function to fill in the blanks in the table.
x f(x)
-2
-1
0
1
2
Use substitution or elimination to solve each system of equations y=3x
X+y=4
Answer:
(1, 3 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
x + y = 4 → (2)
Substitute y = 3x into (2)
x + 3x = 4, that is
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 into (1) for corresponding value of y
y = 3 × 1 = 3
Solution is (1, 3 )
Answer:
x = 1 & y = 3
Step-by-step explanation:
y = 3x -----(1)
x + y = 4 -------(2)
sub(1)into(2)
x + 3x = 4
4x = 4
x = 1
sub x=1 into(1)
y = 3(1)
y = 3
Population of Summerville is currently 20 hundred people. Write a formula if It grows at a constant rate of 1.5 hundred people per year?
Answer:
The answer is 30 I just did this
Step-by-step explanation:
Follow me and thank me plz
ANOTHER MATH QUESTION!! Please help me do this question and explain how you answer it thank you!!!
Answer:
[tex]y=8\cos \left(\dfrac{1}{2}x+\pi\right)+2[/tex]
Step-by-step explanation:
The equation of cosine function will be
[tex]y=a\cos (kx+b)+c[/tex]
Find [tex]a:[/tex]
The minimum y is [tex]y_{min}=-6,[/tex] the maximum y is [tex]y_{max}=10,[/tex] so
[tex]a=\dfrac{1}{2}\cdot |-6-10|=\dfrac{1}{2}\cdot 16=8[/tex]
Find [tex]k:[/tex]
The period of the function is [tex]T=4\pi,[/tex] so
[tex]T=\dfrac{2\pi }{k}\Rightarrow k=\dfrac{2\pi }{4\pi }=\dfrac{1}{2}[/tex]
Find [tex]b:[/tex]
At [tex]x=0,\ y=y_{min}=-6[/tex]
Function [tex]y=\cos x[/tex] at [tex]x=0[/tex] has the value [tex]y=y_{max}=1,[/tex] so [tex]b=\pi[/tex] [translate by one-fourth of the period]
Find [tex]c:[/tex]
The graph has the midline [tex]y=\dfrac{10-6}{2}=2,[/tex] so [tex]c=2.[/tex]
Hence,
[tex]y=8\cos \left(\dfrac{1}{2}x+\pi\right)+2[/tex]
At the electronics store, television screens are sized by the lengths of their diagonals. The television that Mrs. Mallory wants to buy has a 25 inch diagonal. The width of the screen is 15 inches. What is the height of the screen?
Group of answer choices
10 inches
15 inches
20 inches
25 inches
Answer:
Pretty sure the answer is 20 :)
Answer:
20 inches
Step-by-step explanation:
From the question, diagonal of the television screen is given to be 25 inch and the width of the television set is given to be 15 inches and we are asked to find the height of the screen.
We can solve this question using the Pythagoras theorem.
The Pythagoras theorem states that in a right-angle triangle;
opposite² + adjacent² = hypotenuse²
From the question, the width is given to be 15 inches, the with is our adjacent. Also the diagonal is given to be 25 inches, the diagonal is our hypotenuse. And we were ask to find the height, the height is our opposite.
so;
opposite = ?
adjacent = 15
hypotenuse = 25
Let opposite = x
we can now substitute into our theorem;
opposite² + adjacent² = hypotenuse²
x² + 15² = 25²
x² = 25² - 15²
x² = 625 - 225
x² = 400
x = √400
x = 20
opposite = 20 inches
Since opposite is the height of the screen, then the height of the screen is 20 inches.
Therefore the height of the screen is 20 inches.
can someone help me fast!
Answer:
see explanation
Step-by-step explanation:
All angles of a square are right angles by definition, thus
∠ACD = 90°
The diagonals bisect each other at right angles, thus
∠1 = 90°
The diagonals bisect the angles at the vertices, thus
∠2 - 45°
- Find the missing value so that the line passing through the points has the given slope. (x,-4) and (2,8) m=-3
Answer:
x = 6
Step-by-step explanation:
The formula of slope of a straight line passing through two given points ([tex]x_{1},y_{1}[/tex]), and ([tex]x_{2},y_{2}[/tex]) is given by
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex].
As, the straight line passes through the points (x,-4) and (2,8) and has slope - 3.
So, we can write [tex]\frac{8 - (- 4)}{2 - x} = - 3[/tex]
⇒ 12 = 3x - 6
⇒ 3x = 18
⇒ x = 6 (Answer)
Can someone help, I’ve been trying to figure this out but just can’t
Answer:
Step-by-step explanation:
Tip: say they are congruent if they have the same lines and seem to be same size of triangles.
For the how do you know part it can only be SSS, SAS, or SSA Good Luck Tried my best :).
You need to purchase a new cell phone plan. Company A offers 700 minutes of talk time per month but they charge 15 cents for every minute you go over the 700 included minutes. Company A will charge you $40 per month for this plan. Company B offers 500 minutes of talk time per month, but they charge only 5 cents per minute for exceeding the 500 minutes. Company B charges $50 per month for this plan. At what number of minutes per month would both plans charge the same amount?
Answer:
900 minutes
Step-by-step explanation:
Plan A: 700 free minutes + 15 cents per minute over 700 ($40)
Plan B: 500 free minutes + 5 cents per minute over 500 ($50)
The charges for x minutes (assumed x>700) for plan A will be
40+0.15(x-700)
The charges for x minutes (assumed x>500) for plan B will be
50+0.05(x-500)
To find the value of x where both charges are the same, we equate
40+0.15(x-700)=50+0.05(x-500)
Operating
40+0.15x-105=50+0.05x-25
Simplifying
0.10x=90
x=900 minutes
Both plans would charge the same amount when 900 minutes per month are used
Christina learn to sing a total of 14 pieces over the course of seven weeks voice lessons how many weeks of lessons well Christina need before she will be able to sing a total of 20 pieces solve using unit rates
Answer:
10 weeks
Step-by-step explanation:
so 14 pieces in 7 weeks is 2 a week
so using that rate in 10 weeks you would get 20 pieces
The salaries of three employees are listed below. Each employee was recently given a raise. Which amount is closest to the total of all three raises?
Answer:
A
Step-by-step explanation:
We take the percentage raise and convert to decimal by dividing by 100. Then multiply this with the salary before raise. This will give us the "raise amount".
Then we will add up all of the "raises" of 3 employees to get our answer.
Jane = 4/100 = 0.04
0.04*41,500 = 1660
John = 4.5/100 = 0.045
0.045 * 44,100 = 1984.5
Jack = 3/100 = 0.03
0.03 * 39,600 = 1188
Sum of all 3 raises:
1660 + 1984.5 + 1188 = $4832.5
From the answer choices, A is the closest, $4833
2.5x - 1.75 = 5 (7 - 0 5x)
Answer:
For 2.5 x - 1.75 = 5 (7 - 0 5 x) , x = 1.47/1.1
Step-by-step explanation:
Here, the given equation is : 2.5 x - 1.75 = 5 (7 - 0 5x)
By DISTRIBUTIVE PROPERTY:
A(B - C) = AB - AC
Solving for the value of x , we get:
2.5 x - 1.75 = 5 (7 - 0 5 x)
⇒ 2.5 x - 1.75 = 5 (7) - 5 (05 x)
⇒ 2. 5 x - 1. 75 = 35 - 25 x
or, 2. 5 x + 25 x = 35 + 1. 75
or, 27 . 5 x = 36.75
⇒ x = 36.75/ 27.5 = 7.35/ 5.5 = 1.47/1.1
or, x = 1.47/1.1
Hence, for 2.5 x - 1.75 = 5 (7 - 0 5 x) , x = 1.47/1.1
What is six times eight
A painting measures 40cm by 35cm.how many squared cm does its surface cover?
Answer:
1400 cm squared
Step-by-step explanation:
40*35=1400cm squared
Twenty pounds of strawberries are being shared equally by a group of friends.the equation 20 divided by 5=4 represents the division of strawberries
Answer:
a. 4 represents the amount of pounds of strawberries each friend got.
b. 4 represents the number of friends who were sharing the strawberries.
Step-by-step explanation:
The complete exercise is: "Twenty pounds of strawberries are being shared equally by a group of friends. The equation [tex]20\div5=4[/tex] represents the division of strawberries. a. If the 5 represents the number of people, what does the 4 represent?b. If the 5 represents the pounds of strawberries per person, what does the 4 represent?"You need to analize the information given in the exercise.
You know that the total amount of pounds of strawberries that are shared equally is:
[tex]Total=20\ lb[/tex]
a. Then if the group of people is formed by 5 friends, you need to divide the total pounds of strawberries that by 5 in order to calculate the amount of pounds of strawberries each one of them got.
If in the equation [tex]20\div5=4[/tex], 5 represents the number of people, then 4 represents the amount of pounds of strawberries each friend got.
b. If each person got 5 pounds of strawberries, you can calculate the number of friends who was sharing them by dividing the total pounds of strawberries by 5.
So, if in the equation [tex]20\div5=4[/tex], 5 represents the pounds of strawberries per person, then 4 represents the number of friends who were sharing the strawberries.
The mathematics problem given, namely 20 divided by 5 equals 4, represents the principle of equally distributing 20 strawberries among 5 friends. Each friend gets 4 strawberries.
Explanation:The subject of your question is mathematics. The equation 20 divided by 5 equals 4 represents how twenty pounds of strawberries can be equally divided among a group of five friends. This is a division problem, an essential operation in arithmetic.
The principle it is demonstrating is how to distribute something equally among a group. In this case, if we have 20 strawberries and need to distribute them evenly among 5 friends, each friend will receive 4 strawberries. This is represented mathematically as 20 (total strawberries) divided by 5 (number of friends) equals 4 (strawberries per friend). So, your equation is correct.
Learn more about Division here:https://brainly.com/question/34253396
#SPJ3
A line that is perpendicular to y = -1 is a vertical line. Vertical lines have an undefined slope. True False
Answer:
True
Step-by-step explanation:
Horizontal lines with equation y = c where c is the value of the y- coordinates the line passes through are parallel to the x- axis and have a slope of zero.
Vertical lines with equation x = c where c is the value of the x- coordinates the line passes through are parallel to the y- axis and have an undefined slope.