Answer:
156.25% =P
Step-by-step explanation:
Is means equals and of means multiply
50 = P * 32
Divide each side by 32
50/32 = 32P/32
1.5625= P
Now we need to change it to percent form by multiplying by 100%
1.5625 * 100% = P
156.25% =P
[Lots of Points] What are all of the real roots of the following polynomial?
Notice you can factorize
[tex]x^5+5x^4-5x^3-25x^2+4x+20[/tex]
by grouping the terms as
[tex](x^5-5x^3+4x)+(5x^4-25x^2+20)=x(x^4-5x^2+4)+5(x^4-5x^2+4)[/tex]
[tex]\implies f(x)=(x+5)(x^4-5x^2+4)[/tex]
Then you know right away that [tex]x=-5[/tex] is a (real) root, so we eliminate C and D.
The remaining quartic can be factored easily:
[tex]x^4-5x^2+4=(x^2)^2-5x^2+4=(x^2-4)(x^2-1)=(x-2)(x+2)(x-1)(x+1)[/tex]
which admits four more (also real) roots, [tex]x=\pm2[/tex] and [tex]x=\pm1[/tex], so the answer is B.
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = (cos(z) + xy2) i + xe−z j + (sin(y) + x2z) k, S is the surface of the solid bounded by the paraboloid z = x2 + y2 and the plane z = 4.
The divergence of the vector field [tex]\vec F[/tex] is
[tex]\nabla\cdot\vec F=y^2+0+x^2=x^2+y^2[/tex]
By the divergence theorem,
[tex]\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_V(x^2+y^2)\,\mathrm dV[/tex]
where [tex]V[/tex] denotes the region with boundary [tex]S[/tex]. Convert to cylindrical coordinates:
[tex]x=u\cos v[/tex]
[tex]y=u\sin v[/tex]
[tex]z=z[/tex]
The integral is then
[tex]\displaystyle\int_0^{2\pi}\int_0^2\int_{u^2}^4u^3\,\mathrm du\,\mathrm dv=\frac{32\pi}3[/tex]
Using the Divergence Theorem, the flux of the vector field F across the surface S can be calculated by finding the dot product of F and the outward-pointing unit normal vector to the surface. This concept is similar to that of a Gaussian surface in physics, which is used to analyze the flux of electric fields.
Explanation:In this problem, you are required to use the Divergence Theorem in order to calculate a surface integral, specifically the flux of the vector field F across a defined surface S. At a basic level, the Divergence Theorem states that the flux of a vector field through a closed surface is equal to the triple integral of the divergence of the field over the volume enclosed by the surface.
In this specific scenario, we have the vector field F(x, y, z) = (cos(z) + xy²) i + xe⁻ᶻ j + (sin(y) + x²z) k, and the surface S is bounded by the paraboloid z = x² + y² and the plane z = 4. To calculate the surface integral, you would first express these surfaces parametrically and then find the outward pointing unit normal vector to the surface. The dot product of F and this normal vector will give the amount of F flowing across an infinitesimal element of the surface, which when integrated over the entire surface, yields the flux of F across S.
This process is similar to the concept of Gaussian surface, which is used to calculate the flux of an electric field. In both cases, we're examining how a field interacts with a defined space or volume.
Learn more about Divergence Theorem here:https://brainly.com/question/31272239
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PLEASE HELP WILL GIVE BRAINLIEST
Life expectancy in the U.S. is steadily increasing due to medical advancements and the increased awareness of maintaining a healthy lifestyle. The life expectancies for men and women in the U.S. can be modeled by the following functions:
W(x)=0.126x+76.74
M(x)=0.169x+69.11
where W(x) represents the life expectancy for women and M(x) represents the life expectancy for men, and x represents the number of years since 1975. (x = 0 corresponds to the year 1975, x = 5 corresponds to the year 1980 and so on.)
Write an inequality that represents in what years the life expectancy of men is greater than that of women.
a.0.169x+69.11 > 0.126x+76.74
b.0.169+69.11 < 0.126x+76.74
c.0.169x+69.11<0.126x+76.74
d.0.169x+69.11 = 0.126x+76.74
Answer:
a. 0.169x+69.11 > 0.126x+76.74
Step-by-step explanation:
So, there's a lot of talk in the question statement. Of course, it presents some important data... but it's also meant to confuse you.
We can boil it down to the following life expectancies :
Men = 0.169x+69.11
Women = 0.126x+76.74
Then they ask you to write with that men have a greater life expectancy than woman using the models above.
Start by writing the goal:
men > women
Then replace "men" by the model and "women" by the model:
0.169x+69.11 > 0.126x+76.74
And you have your answer.
Answer:
A
Step-by-step explanation:
maybe, maybe not
What is the distance between the y-intercepts of the lines? Adding a picture please help
The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = 1
Find the coordinates of the points of intersection of the graphs without building them: 5x–4y=16 and x–2y=6
[tex]\bf \begin{cases} 5x-4y=16\\ \cline{1-1} x-2y=6\\ \boxed{x}=6+2y \end{cases}~\hspace{7em}\stackrel{\textit{substituting \underline{x} in the first equation}}{5\left( \boxed{6+2y} \right)-4y=16} \\\\\\ 30+10y-4y=16\implies 30+6y=16\implies 6y=-14 \\\\\\ y=-\cfrac{14}{6}\implies y=-\cfrac{7}{3}\implies \blacktriangleright y=-2\frac{1}{3} \blacktriangleleft \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{since we know that}}{x=6+2y}\implies x=6+2\left( -\cfrac{7}{3} \right)\implies x=6+\left(-\cfrac{14}{3} \right) \\\\\\ x=6-\cfrac{14}{3}\implies x=\cfrac{18-14}{3}\implies x=\cfrac{4}{3}\implies \blacktriangleright x=1\frac{1}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left( 1\frac{1}{3} ~,~-2\frac{1}{3}\right)~\hfill[/tex]
The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6. The estimated value of is 3.14. The measure of the angle subtended by the arc is ?
Answer:
The measure of the angle is [tex]68.79\°[/tex]
Step-by-step explanation:
step 1
Find the radius of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]A=78.5\ cm^{2}[/tex]
[tex]\pi =3.14[/tex]
substitute and solve for r
[tex]78.5=(3.14)r^{2}[/tex]
[tex]r^{2}=78.5/(3.14)[/tex]
[tex]r=5\ cm[/tex]
step 2
Find the circumference of the circle
The circumference of the circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=5\ cm[/tex]
[tex]\pi =3.14[/tex]
Substitute
[tex]C=2(3.14)(5)[/tex]
[tex]C=31.4\ cm[/tex]
step 3
Find the measure of the angle by an arc length of 6 cm
we know that
The circumference of a circle subtends a central angle of 360 degrees
So
by proportion
[tex]\frac{31.4}{360}=\frac{6}{x}\\ \\x=360*6/31.4\\ \\x=68.79\°[/tex]
Answer:
The measure of the angle subtended by the arc is 68.8°
Step-by-step explanation:
Formula for calculating length of an arc is expressed as:
Length of an arc = theta/360×2πr
Where theta is the angle subtended by the arc
r is the radius of the circle
To get the radius r;
Given Area of the circle to be 78.5cm²
Since area = πr²
78.5 = πr²
78.5 = 3.14r²
r² = 78.5/3.14
r² = 25
r =√25
r = 5cm
This radius of the circle is 5cm
Remember that
Length of an arc = theta/360° × 2πr
6 = theta/360 × 2(3.14)(5)
6 = 31.4theta/360
2160 = 31.4theta
theta = 2160/31.4
theta = 68.8°
Jackson and Olivia deposited $9,047.00 into a savings account which earns interest compounded monthly. After 8 months, they had $9,779.00 in the account which they used to go on a trip. What was the interest rate on the account?
Round your answer to the nearest tenth of a percent.
Answer:
11.7%
Step-by-step explanation:
The account balance (A) for a principal amount P and monthly interest rate r will be ...
A = P(1 +r)^8
Then we can divide by P and take the 8th root to find r:
A/P = (1+r)^8
(A/P)^(1/8) = 1 +r
(A/P)^(1/8) - 1 = r
Since this is the monthly rate, we need to multiply this value by 12 to find the annual interest rate on the account:
annual rate = 12((A/P)^(1/8) -1) = 12((9779/9047)^(1/8) -1) ≈ 0.11728 ≈ 11.7%
Any assistance would be great!
The domain is the input values, which would also be X values.
{ x |x= -5, -3, 1, 2,6}
For this case we have by definition that the domain of a function y = f (x) is the set of all the values that the variable x takes, for which the function is defined. They are also represented by the starting set.
It is observed in the figure, that the domain is:
[tex]{x | x = -3,2, -5,1,6}\\{x | x = -5, -3,1,2,6}[/tex]
Answer:
Option A
which expression or expressions have thw same value a as 12. 2
Answer:
B, C
Step-by-step explanation:
The values of the expressions are ...
A:
20^2 -18^2 = (20 -18)(20 +18) = 2·38 = 4·19 ≠ 12^2 = 4·36
__
B:
8(4^2) +2^4 = 8(4^2) +4^2 = (8+1)·4^2 = (3·4)^2 = 12^2
__
C:
15^2 -3^4 = 15^2 -9^2 = (15 -9)(15 +9) = 6·24 = 6·2·12 = 12^2
For which distributions is the median the best measure of center?
I think these two are the right answer.
The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal
BD
. Find the measure of ∠BAD.
PLZZZZZZZZZ help ASAP I'm so confused WILL MARK BRAINLIEST
Answer:
104°
Step-by-step explanation:
Even a crude diagram can be helpful. Half of angle ACD is the complement of the 64° angle made with diagonal BD. Since that complement, 26°, is half the bisected angle, which is half the measure of ∠BAD, the measure of ∠BAD must be 4×26° = 104°.
___
Opposite angles of a rhombus are congruent, and each diagonal is a bisector of the angles at its endpoints. The diagonals bisect each other and meet at right angles.
Drag and drop a statement or reason to each box to complete the proof.
Given: parallelogram MNPQ
Prove: ∠N≅∠Q
Answer:
1. MN≅QP
MQ≅NP
2. MP≅MP
3. SSS congruence postulate
4. ∠N≅∠Q
5. CPCTC
Step-by-step explanation:
1. As per the property of parallelogram that opposite sides are congruent, in given case of parallelogram MNPQ the opposite sides
MN≅QP and MQ≅NP.
2. The reflexive property of congruence states that a line or a geometrical figure is reflection of itself and is congruent to itself. Hence in given case of parallelogram MNPQ
MP≅MP
3. SSS congruence postulate stands for Side-Side-Side congruence postulate, it states that when three adjacent sides of two triangle are congruent then the two triangles are congruent. In given case of parallelogram MNPQ, as the sides MN≅Q, MQ≅NP and MP≅MP hence
ΔMQP≅ΔPNM
5. As proven in part 4 that ΔMQP is congruent to ΔPNM, so as per the property of CPCTC (congruent parts of congruent triangles are congruent)
∠N≅∠Q
5. CPCTC stands for congruent parts of congruent triangles are congruent.
!
If possible, please help me with this problem. I do not understand what method and such.
Answer:
14 m^2
Step-by-step explanation:
The method used to find the area of this trapezoid is to put the given numbers into the formula for the area of a trapezoid. That formula is ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
The figure shows you that b1 and b2 are 5 m and 2 m (in no particular order) and h is 4 m. Putting these numbers into the formula gives ...
A = (1/2)(5 m + 2m)(4 m) = (1/2)(28 m^2) = 14 m^2
PLEASE HELP AND THANK YOU
Answer:
• n(t) = 150·2^t . . . . . . . . . . . . number of cells after t minutes
• a(t) = π(0.25 +0.50t)^2 . . . . area in cm^2 after t minutes
• d(t) = n(t)/a(t) = (2400·2^t)/(π(1+2t)^2)
Step-by-step explanation:
The number of cells (n(t)) is described by an exponential function of time (t) with an initial value of 150 and a growth factor of 2 each minute:
n(t) = 150·2^t . . . . . . n in cells; t in minutes
___
The area of the culture is given by ...
a(t) = π·(r(t))^2 . . . . where r(t) is the radius as a function of time.
The radius is linearly increasing with a rate of increase of 0.50 cm/min, so can be described by ...
r(t) = 0.25 +0.50t
Then the area is ...
a(t) = π·(0.25 +0.50t)^2
A factor of 0.25 can be removed from inside parentheses to make this be ...
a(t) = (π/16)(1 +2t)^2 . . . . . a in cm^2; t in minutes
___
The density is the number of cells divided by the area:
d(t) = n(t) / a(t) = 150·2^t/((π/16)(1 +2t)^2)
Simplifying a bit, this is ...
d(t) = (2400/π)(2^t)/(1 +2t)^2 . . . . . d in cells/cm^2; t in minutes
write a function to model the situation.
a box is w inches wide. the box is twice as long as it is wide and 3.5 times as tall as it is wide. write a function to model the volume (v) of the box in cubic inches as a function of its width.
please help and thank you!
Answer:
v(w) = 7w³
Step-by-step explanation:
The formula for the volume of a cuboid (rectangular prism, or box) is ...
V = LWH . . . . . . where L represent length, W represents width, and H represents height
The problem statement tells you that for a box of width w (in inches), the length is 2w, and the height is 3.5w. Using these values in the formula, we have ...
V = (2w)(w)(3.5w)
V = 7w³
Written as a function v(w), volume as a function of width, this is ...
v(w) = 7w³
Drag and drop a statement or reason to each box to complete the proof.
Given: parallelogram EFGH
Prove: EG¯¯¯¯¯ bisects HF¯¯¯¯¯¯ and HF¯¯¯¯¯¯ bisects EG¯¯¯¯¯ .
Answer:
1. EF≅HG
2. EF║HG
3. Definition of parallelogram
4. when two parallel lines are cut by a transversal, alternate interior angles are congruent
5. EK≅GK
FK≅HK
Step-by-step explanation:
1. As per the properties of a parallelogram, the opposite sides are congruent.
hence in given parallelogram EFGH the two sides EF≅HG
2. As per the properties of a parallelogram, the opposite sides are parallel.
hence in given parallelogram EFGH the two sides EF║HG
3. Definition of parallelogram: A quadrilateral is called a parallelogram if two of its opposite sides are parallel.
4. As per the properties of transversal lines, when two parallel lines are cut by a transversal, alternate interior angles are congruent.
5. As proven in given question ΔEKF≅ΔGKH, so as per the CPCTC
EK≅GK and FK≅HK
!
There are different properties that are ascribed to a shape. The statement or reason to fill each box are;
EF≅HG given that the Property of a Parallelogram ( that is If a quadrilateral is a parallelogram, then all the opposite sides are known to be congruent)EF║HG given that the description or the definition of a Parallelogram, which is a type of quadrilateral is known to have opposite sides been parallel.∠FEG ≅∠ HGE , ∠EFH ≅FHG are known to be Alternate Interior Angles Theorem.ΔEKF ≅ Δ GKH are ascribed to ASA Congruence Postulate.⁻E K ≅ ⁻K G, and ⁻F K ≅ ⁻K H given that they are CPCTC.What is a parallelogram?A parallelogram is known to be a shape that is said to be composed of four sides. Where the sides opposite each other are regarded as parallel. The Examples of parallelograms are; squares, rhombuses, etc.
Learn more about parallelogram from
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8. Janine has 3/5
of a pound of peanuts to divide equally between 2 friends.
a. What is the weight of peanuts in pounds that each friend will
receive?
b. One of Janine's friends already had 3/4 pounds of peanuts before Janine gave her more. However, this friend wants to end with 2 pounds of peanuts. How much more pounds of peanuts does this friend need to get to end up with 2 pounds of peanuts?
Answer:
Part a) Each friend will receive [tex]\frac{3}{10}\ pounds[/tex]
Part b) [tex]\frac{19}{20}\ pounds[/tex] or [tex]0.95\ pounds[/tex]
Step-by-step explanation:
Part a)
we know that
To calculate the weight of peanuts in pounds that each friend will
receive, divide the total pounds of peanuts by two
so
[tex]\frac{(3/5)}{2}=\frac{3}{10}\ pounds[/tex]
Part b)
Let
x-----> pounds of extra peanuts the friend needs to end up with 2 pounds of peanuts
we know that
[tex]2=x+\frac{3}{10}+\frac{3}{4}[/tex]
Solve for x
[tex]x=2-(\frac{3}{10}+\frac{3}{4})[/tex]
Multiply by 40 both sides
[tex]40x=80-(12+30)[/tex]
[tex]40x=38[/tex]
[tex]x=\frac{38}{40}\ pounds[/tex]
Simplify
[tex]x=\frac{19}{20}\ pounds[/tex] or [tex]x=0.95\ pounds[/tex]
The square of a number decreased by 4 times the number equals 21. Find the number.
Answer: 7
Explanation:
x^2-4x=21
x^2-4x-21=0
(x+3)(x-7)=0
x=-3
x=7
*** if you need to find the positive # only, the ANSWER is 7****
The correct equation for the problem is x² - 4x = 21. By using the quadratic formula, we find that the number can be either 7 or -3.
The student provided a mistaken equation for the problem which is x² + 4x = 21, not x² + 4x 21 = 0. The correct equation that represents the problem 'The square of a number decreased by 4 times the number equals 21' is x² - 4x = 21. To solve this equation, we first bring the constants to one side to set the equation equal to zero:
x² - 4x - 21 = 0
Now we have a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = -4, and c = -21. We will use the quadratic formula, which is:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values of a, b, and c into the formula gives us:
x = (4 ± √((-4)² - 4(1)(-21))) / (2*1)
x = (4 ± √(16 + 84)) / 2
x = (4 ± √100) / 2
x = (4 ± 10) / 2
Thus, the solutions are x = (4 + 10) / 2 = 7 and x = (4 - 10) / 2 = -3.
Therefore, the numbers that satisfy the equation are 7 and -3.
Find all values of k for which the equation 3x2−(k+2)x+k−1=0 has no solutions.
Answer:
there are solutions for all values of k
Step-by-step explanation:
In order for there to be no real solutions, the value of the discriminant must be negative. For this equation, the discriminant is ...
(-(k+2))^2 -4(3)(k-1)
We want to find values of k for which this is negative:
(k^2 +4k +4) -12k +12 < 0
k^2 -8k +16 < 0
(k -4)^2 < 0
A square is never negative, so there are no values of k that result in the equation having no solutions.
Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). Select all that apply.
For this case we have that the equation of a straight line in the form of an intersection is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We found the slope:
[tex]m = \frac {y2-y1} {x2-x1} = \frac {8-6} {4-5} = \frac {2} {- 1} = - 2[/tex]
So, the line is:
[tex]y = -2x + b[/tex]
We find the cut point by substituting a point:
[tex]8 = -2 (4) + b\\8 = -8 + b\\b = 8 + 8\\b = 16[/tex]
Finally, the equation is:
[tex]y = -2x + 16[/tex]
We can also have the equation of the point-slope form:
[tex]y-y_ {0} = m (x-x_ {0})[/tex]
Where:
[tex](x_ {0}, y_ {0}) = (4,8)[/tex]represents a point:
So:
[tex]y-8 = -2 (x-4)[/tex]
ANswer:
[tex]y-8 = -2 (x-4)\\y = -2x + 16[/tex]
Use the graph to determine the number of solutions the system has. x=4 y=x+3
Answer:
Final answer is x=4, y=7.
Step-by-step explanation:
Questions says to use the graph to determine the number of solutions the system has. where system of equations are x=4 and y=x+3
any equation of the form x=k is a vertical line crossing x-axis at k.
So x=4 is a vertical line crossing x-axis at 4.
y=x+3 has slope m=1 and y-intercept b=3
So it passes through point (0,3) and for slope m=1, rise 1 up then 1 right to get new point.
Then final graph is given as shown in the picture.
We can see that both lines intersect at point (4,7).
Hence final answer is x=4, y=7.
I got 140 as my answer before but it said it was incorrect.
[tex]\bf \begin{bmatrix} 11&-8\\-1&12 \end{bmatrix}\implies \stackrel{Determinant}{(11\cdot 12)-(-1\cdot -8)}\implies 132-(8)\implies 124[/tex]
recall, minus * minus = plus.
A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equation have?
[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{a}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ \stackrel{-16}{negative}&\textit{no solution}~~\checkmark \end{cases}[/tex]
Answer:
A quadratic equation of the form 0 = ax² + bx + c with a discriminant value of –16 has no real solution
Step-by-step explanation:
A quadratic equation ax²+bx+c=0 with discriminant D=b²-4ac has
2 unequal real solutions if D is positive i.e. D>0
2 equal real roots if D=0
no real root if D is negative i.e. D<0
Here, we are given value of D= -16 which is less than zero
Hence, a quadratic equation of the form 0 = ax² + bx + c with a discriminant value of –16 has no real solution
(6x – 4) – (2x + 8) is equivalent to:
A. 4(x + 4)
B. 4(x – 1)
C. 4(x – 3)
D. 4(x – 12)
Show Your Work
Answer:
C. 4(x – 3)
Step-by-step explanation:
(6 x - 4) - (2 x + 8)
6 x - 4 - 2 x - 8
4 x - 12
Factor
4 ( x - 3 )
Which of the following is the measure of an exterior angle of a 15-sided regular polygon?
A) 24
B) 12
C) 40
D) 36
Answer:
24 ˚
Step-by-step explanation:
Exterior angle of a regular -sided polygon:
360 ˚/ n ⇒ 360 ˚/15 = 24 ˚
Answer:
A) 24
Step-by-step explanation:
Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.
Someone help please.
Answer:
$27
Step-by-step explanation:
If the table was marked up 125%, you can find the retail price of it this way:
20 + 1.25(20) = retail price
$45 = retail price.
To find 40% off of that, use
$45 - .4($45) = sale price
$27 = sale price (aka discount price)
Which graph matches y=x?
Answer:
see below
Step-by-step explanation:
Of your remaining answer choices, the only one that shows a reflection (not a translation) is the one below. It has the orientation of the figure reversed (side lengths shortest-to-longest are CCW instead of CW).
The reflection over y=x reverses the coordinates: (x, y) ⇒ (y, x), so the vertices become ...
(1, -3) ⇒ (-3, 1)(3, -2) ⇒ (-2, 3)(4, -5) ⇒ (-5, 4)Simon is twice elder than her sister Tracy. In 12 years Simon will be 1.5 times elder than Tracy. What are their current ages?
Answer:
Im pretty sure its 13 for Tracy and 26 for Simon
Answer:
I believe Simon is currently 24 and Tracy is 12
Step-by-step explanation:
24+12=36
12+12=24
you add 12 to each to see in 12 YEARS
Then you can see if it is 1.5 times as much by dividing by 1.5 or multiplying by 1.5
Like:
24*1.5=36
36/1.5=24
And that's how you do it
hope this halps :)
pls mark me brainliest as well
write an equivalent fraction with the given denominator 3/7 - /35
Answer: [tex]\frac{15}{35}[/tex]
Step-by-step explanation:
Equivalent fractions are defined as those fractions that represent the same value but their numerators and denominators are different.
For a fraction in the form [tex]\frac{a}{b}[/tex] you can find an equivalent fraction by multiplying the numerator and the denominator by the same number "c":
[tex]\frac{a}{b}=\frac{a*c}{b*c}[/tex]
Then, for the fraction [tex]\frac{3}{7}[/tex] you have an equivalent fraction with denominator 35. This is obtained by multiplying the denominato 7 by 5.
Then, the numerator will be:
[tex]3*5=15[/tex]
So:
[tex]\frac{3*5}{7*5}=\frac{15}{35}[/tex]
Answer:
The equivalent fraction of 3/7 is 15/35
Step-by-step explanation:
It is given that, a fraction 3/7
To find the equivalent fraction
We have 3/7
some of equivalent fraction of 3/7 are
3/7 * 2/2 = 6/14
3/7 * 3/3 = 9/21
3/7 * 4/4 = 12/28
3/7 * 5/5 =15/35
3/7 * 6/6 = 18/42 ....
We need denominator 35
Therefore the correct answer is 15/35
i need some help on this question please
Answer:
36, 32, 28, 24
Step-by-step explanation:
Fill in the values of n and do the arithmetic.
a1 = 36 -4(1 -1) = 36
a2 = 36 -4(2 -1) = 32
a3 = 36 -4(3 -1) = 28
a4 = 36 -4(4 -1) = 24
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You could recognize the formula as the specific case of the explicit formula for an arithmetic sequence with first term 36 and common difference -4. That tells you the second term is 36 -4 = 32, and each successive term is 4 less than the one before.