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4 years ago

How do you solve this equation with variables on both sides 3x-6=7x+1

Mathematics

2 answers:

marusya05 [52]4 years ago

7 0

answer

-7/4

Step-by-step explanation:

3x-6=7x+1

you subtract the 3 on both sides

-6=4x+1

then you subtract the 1 on both sides

-7=4x

then divide -7 on each side

x=-7/4

Studentka2010 [4]4 years ago

6 0

-6 turns into +6 then that=7 and 7x + -3x = 4x and 7 divided by 4 = 1.75

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the smaller rectangle is a 1/4 scale drawing of the original figure. Use the drop-down menus to show the missing dimensions of t

Neporo4naja [7]

Answer:

Part a) The length of the smaller rectangle is $6\ ft$

Part b) The width of the smaller rectangle is $5\ ft$

Part c) The area of the smaller rectangle is $30\ ft^{2}$

Step-by-step explanation:

Part a)

Find the length side of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure

Let

x--------> the length of the smaller rectangle

y-------> the length of the original figure

z-----> scale factor

$z=\frac{x}{y}$

we have

$y=24\ ft$

$z=1/4$

substitute and solve for x

$(1/4)=\frac{x}{24}$

$x=24/4=6\ ft$

Part b)

Find the width side of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure

Let

x--------> the width of the smaller rectangle

y-------> the width of the original figure

z-----> scale factor

$z=\frac{x}{y}$

we have

$y=20\ ft$

$z=1/4$

substitute and solve for x

$(1/4)=\frac{x}{20}$

$x=20/4=5\ ft$

Part c)

Find the area of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor squared is equal to divide the area of the smaller figure by the area of the original figure

Let

x--------> the area of the smaller rectangle

y-------> the area of the original figure

z-----> scale factor

$z^{2}=\frac{x}{y}$

we have

$y=480\ ft^{2}$

$z=1/4$

substitute and solve for x

$(1/4)^{2}=\frac{x}{480}$

$x=480/16=30\ ft^{2}$

4 0

4 years ago

Four friends were born in consecutive years. The sum of their ages is 62.

Bas_tet [7]

Answer:

4+62=66

Step-by-step explanation:

3 0

3 years ago

Need help what is the slope line that passes though the points

vitfil [10]

Slope = change in y / change in x

Slope = (4 - -8) / (-14 - -6)

Slope = 12/-8

Simplify:

Slope = -6/4

3 0

3 years ago

Read 2 more answers

Ed is 7 years older than Ted. Ed’s age is also 3/4 times Ted’s age. How old are Ed and Ted?

leva [86]

Let Ted be x.

Ed is 7 years older = x + 7

Ed = (3/4)Ted

(x + 7) = (3/4)x

x + 7 = 3x/4

x - 3x/4 = -7

x/4 = -7

x = -28, Ted = -28 years

(x + 7) = -28 + 7 = -21, Ed = -21 years.

Goodness. We had negative numbers for the ages, well does that make sense? No it doesn't.

Our answer is correct. But the sense in the question is lacking. The question has been wrongly set.

We might assume negative ages to mean before they came into the world, before birth!

4 0

3 years ago

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UkoKoshka [18]

-9 + pi will be irrational becasue it contains pi
23.2 repeating + sqrt 16 is rational because repeating numbers are rational and sqrt 16 is rational.

4 0

2 years ago