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3 years ago

Plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.

Mathematics

2 answers:

Damm [24]3 years ago

6 0

Answer:

$\boxed{\sf x = \frac{13}{5} }$

Given:

(x + 4):(3x + 1) is the duplicate ratio of 3:4

To Find:

Value of x

Step-by-step explanation:

$\sf Solve \: for \: x: \\ \sf \implies (x + 4) : (3x + 1) = 3 : 4 \\ \\ \sf Convert \: ratios \: to \: fractions: \\ \sf \implies \frac{x + 4}{3x + 1} = \frac{3}{4} \\ \\ \sf Cross \: multiply: \\ \sf \implies 4(x + 4) = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 4x + 16 = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 4x + 16 = 9x + 3 \\ \\ \sf Subtract \: 9 x + 16 \: from \: both \: sides: \\ \sf \implies - 5x = - 13 \\ \\ \sf Divide \: both \: sides \: by \: - 5: \\ \sf \implies x = \frac{13}{5}$

Rzqust [24]3 years ago

3 0

Answer: x = 13/5

Explanation:

(x+4)/(3x+1) = 3/4

Cross multiply:

4(x+4) = 3(3x+1)
4x + 16 = 9x + 3
4x - 9x = 3 - 16
-5x = -13
x = -13/-5
x = 13/5

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The sum of two numbers is 300 and the two numbers have a ratio of 20:10. Find the larger number.

Komok [63]

Step-by-step explanation:

Let the two numbers be 20x and 10x

Then by the question,

20x + 10x = 300

or, 30x = 300

or, x = 300/ 30

x = 10

Now the larger number

20x = 20* 10 = 200.

Hope it will help you :)

7 0

3 years ago

Solve the system of equations using elimination.<br><br> 4x - 7y = 5<br> 9x – 7y = –15

Anni [7]

Step-by-step explanation:

We have to get one positive 7y so,

4x-7y=5

9x-7y=-15

multiply anyone of the equation by -1. I choose the first one so,

4x+7y=-5

9x-7y=-15

we can now cancel the y's so the equation will be left with

-4x=-5

9x=-15

add the equations

5x=-20

divide by 5 n u get

x=-4

now plug in the x value in any one of the

equations

I choose the first one so,

4(-4)-7y=5

-16-7y=5

add 16 to both sides

-7y=21

divide by -7

y=-3.

finally check.

8 0

4 years ago

Whats the answer i need help

julia-pushkina [17]

Answer)3.5
1)minus 17.5-14=3.5
2)14+3.5=17.5
3)keep adding 3.5

6 0

3 years ago

Quadrilateral ABCD has vertices A(1,0) B(5,0) C (7,2) D(3,2). Use slope to prove that ABCD is a parallelogram.

Galina-37 [17]

Answer:

$AD \parallel BC$

$AB \parallel CD$

Step-by-step explanation:

The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).

The slope of side AB is

$M_{AB}=\frac{0-0}{5-1} =\frac{0}{4}=0$

The slope of side BC is

$M_{BC}=\frac{2-0}{7-5} =\frac{2}{2}=1$

The slope of side CD is

$M_{CD}=\frac{2-2}{3-7} =\frac{0}{-4}=0$

The slope of AD is

$M_{AD}=\frac{2-0}{3-1} =\frac{2}{2}=1$

$AD \parallel BC$

$AB \parallel CD$

We see that the opposite sides of the quadrilateral ABCD are equal.

Hence the quadrilateral is a parallelogram

4 0

3 years ago

An executive board consists of a president (P) and three vice-presidents ( V 1 , V 2 , V 3 ) . For a motion to pass it must have

Crank

Answer:

[P, V1, V2]

[P, V1, V3]

[P, V2, V3]

Step-by-step explanation:

From the question, the executive board has 4 persons.

P = president

V1 = vice president 1

V2 = vice president 2

V3 = vice president 3

The president must be part of three members formed from these 4 to vote yes for a motion to pass

The weighted system can be represented as

[P, V1, V2]

[P, V1, V3]

[P, V2, V3]

These are the 3 possibilities.

7 0

3 years ago

Plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.​

Plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.