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anygoal [31]
3 years ago
11

What is the solution to the equation fraction 1 over 4x = 5?

Mathematics
1 answer:
Amanda [17]3 years ago
6 0
C) x=20
x = 20
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(3x2 + 10x + 3) by (x + 3)​
Nata [24]
Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.

c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9

and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1

9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3

=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
6 0
2 years ago
the length of a rectangle is 2 more than the width and the perimeter is 80. find the dimensions of the rectangle
4vir4ik [10]
Let width = x  then
2x+ 2(x + 2) = 80
4x + 4 = 80
4x = 76
x = 19  

so the width is 19 and the length is 21 answer
5 0
3 years ago
Read 2 more answers
Find the length of the altitude to the hypotenuse. Round the answer to the nearest tenth, if needed.
SVEN [57.7K]
To solve this, it might be easier to draw it out (see the picture below). I split it into two triangles and used trig functions to find the altitude. I used the big triangle to find theta, and the used theta to find the side of the altitude. *remember that sine= opposite/hypotenuse*

8 0
3 years ago
2x + 16 = 22x<br><br> Variables on both sides
Nonamiya [84]

answer: Subtract sixteen from both sides of the equation

2 +16 -16=22x -16

x = 4/5

8 0
2 years ago
Amelia receives two dozens roses for her birthday. 18 of the roses are pink what percent of the roses are pink
ollegr [7]

18/24 = pink roses... 75% of the roses are pink.

4 0
3 years ago
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