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Rina8888 [55]
3 years ago
14

What is the​ solution? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice 35- x

/4 =x/3
Mathematics
2 answers:
Anna11 [10]3 years ago
8 0
You can multiply both sides of the equation by 12 to remove the fractions.

12(35 - x/4) = 12(x/3)

420 - 12x/4 = 12x/3

420 - 3x = 4x

Add 3x to both sides:

420 = 7x

Divide 7 to both sides:

x = 60
Charra [1.4K]3 years ago
3 0
No choices given. Here's how you solve this.

35 - x/4 = x/3

subtract x/3 from both sides
35 - x/4 - x/3= 0

need a common denominator
4 & 3 go into 12

35 - (4/12x) - (3/12x)= 0
35 - 7/12x= 0

subtract 35 from both sides
-7/12x= -35

multiply by -12/7 to eliminate fraction
(-12/7)(-7/12x) = (-35)(-12/7)
x= (-35 * -12)/7
x= 420/7
x= 60

Check:
35 - x/4 = x/3
35 - 60/4= 60/3
35 - 15= 20
20= 20

Hope this helps! :)
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4 Consider the triangle below.
Maurinko [17]
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0
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What is the range of f(x)=log0.6x
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Use point slope form to write the lines with the given slope and point in slope intercept form.m= -1(-5,-4)
lara31 [8.8K]

The slope point form is

y-y1=m(x-x1)

m is the slope

x1, y1 are the coordinates of a point on the line

The slope of the line is -1

m = -1

point (-5, -4) lies on the line

x1 = -5 and y1 = -4

Let us substitute them in the form above

y-(-4)=-1(x-\lbrack-5\rbrack)

Remember (-)(-) = (+)

y+4=-1(x+5)

The equation of the line in the slope-point form is y + 4 = -1(x + 5)

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