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2 years ago

title="\frac{2}{5} x+\frac{1}{2} =\frac{3}{4}" alt="\frac{2}{5} x+\frac{1}{2} =\frac{3}{4}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

kotegsom [21]2 years ago

6 0

Answer:

$x = \frac{5}{8}$

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

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Factor each expression 36abc +54ad

olya-2409 [2.1K]

Answer:

18a(2bc + 3d)

Step-by-step explanation:

36abc + 54ad

Step 1: Find the Highest Common Factor of each

36abc = 2×2×3×3×a×b×c = 18a × 2bc

54ad = 2×3×3×3×a×d = 18a × 3d

HCF = 2×3×3×a = 18a

Step 2: Factor out with HCF

18a(2bc + 3d)

7 0

3 years ago

Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long

Ne4ueva [31]

We are given

Jim's backyard:

Length is

$L=15\frac{5}{6} =\frac{95}{6} yards$

width is

$W=10\frac{2}{5} =\frac{52}{5} yards$

Since, this is rectangle

so, we can find area of rectangle

$A=L*W$

$A=(\frac{95}{6})*(\frac{52}{5})$

$A=\frac{494}{3} yard^2$

Area of one sod:

length is

$l=1\frac{1}{3} =\frac{4}{3} yards$

width is

$w=1\frac{1}{3} =\frac{4}{3} yards$

Since, it is rectangle in shape

so,

$Area=l*w$

$A=\frac{4}{3}*\frac{4}{3}$

$A=\frac{16}{9}yard^2$

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

$N=\frac{\frac{494}{3} }{\frac{16}{9} }$

now, we can simplify it

$N=\frac{741}{8}$ pieces need ..............Answer

7 0

3 years ago

What is the value of i 97 – i? –i 0 –2i i Superscript 96

Valentin [98]

The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue

Answer:

$i^{97}-i=0$

Step-by-step explanation:

Powers of The Imaginary Unit

The imaginary unit i is defined as

$i=\sqrt{-1}$

The first powers of i are

$i^0=1$

$i^1=i$

$i^2=(\sqrt{-1})^2=-1$

$i^3=i.i^2=-i$

$i^4=i^2.i^2=1$

And so on the cycle repeats every four numbers. To find the value of $i^{96}$ we can find the remainder of 96/4=0. So $i^{96}=i^0=1$

The given expression is

$i^{97}-i$

Factoring

$i(i^{96}-1)$

Since $i^{96}=1$

$=i(1-1)=0$

The required value is 0

6 0

2 years ago

Read 2 more answers

How many minutes are in 2/4 if an hour

Katyanochek1 [597]

2/4 of an hour is half an hour so 2/4 of an hour is 30 minutes. Hope it helps

5 0

2 years ago

Read 2 more answers

How to measure and find the circumcenter of a triangle

Nadusha1986 [10]

Circumcenter Calculator

Circumcenter of triangle can be defined as the point where the three perpendicular bisectors of the sides of the triangle meet. The distance of vertices of triangle is equal to circumcenter.

It is the single point where the perpendicular bisectors of the three sides of the triangles meet .
It is basically the point of concurrency inside the triangle.
The distance of circumcenter from the three vertices of triangle are equal.
It is used to draw the circum circle , infact it is the center of the circumcircle formed.
There is a unique circumcenter possible for each and every triangle.
Circumcenter Calculator is used to calculate the circumcenter of the triangle, if three coordinates are given.
Please mark braileist I only need one

4 0

3 years ago