All categories

1 year ago

Compute a value for t that satisfies the equation below. "-2/3" t - 2 = - 3

Mathematics

1 answer:

Dima020 [189]1 year ago

6 0

Answer:

t = 3/2

Step-by-step explanation:

Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.

(-2/3)t - 2 = -3 <----- Original equation

(-2/3)t = -1 <----- Add 2 to both sides

t = 3/2 <----- Divide both sides by -2/3

You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.

(-2/3)t - 2 = -3 <----- Original equation

(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"

-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2

-1 - 2 = -3 <----- Simplify -6/6

-3 = -3 <----- Subtract

You might be interested in

Which describes where living and nonliving parts of an environment interact with and rely on each other?

Natali [406]

Answer:

Step-by-step explanation:

Ecology is the study of ecosystems. That is, ecology is the study of how living organisms interact with each other and with the nonliving part of their environment.

4 0

2 years ago

Find the unit price for each option shown below. Round to the nearest cent when necessary. Option I: 10 candy bars for $6.75 Opt

natita [175]

Option I: 10 candy bars for $6.75

6.75/10 = 0.68 

Option II: 12 candy bars for $7.25 

7.25 / 12 = 0.60

6 0

2 years ago

Read 2 more answers

A paper plate has a diameter of 9 inches.what is the circumference of the plate

Anton [14]

$C= \pi d \\ 
C=9 \pi \\
C=28.26 in$

3 0

3 years ago

A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

liberstina [14]

Answer:

A building makes a $90^{\circ}$ angle with the ground .The two interior angles are $70^{\circ}$ and $20^{\circ}$

Solution:

Given, a ladder which is against the building wall makes an exterior angle of $110^{\circ}$

And building makes a $90^{\circ}$ angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.

Now, we know that, sum of exterior angles and interior angles equals to $180^{\circ}$

Here, in the case of ground and ladder, exterior angle is $110^{\circ}$ and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = $70^{\circ}$

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = $20^{\circ}$

Hence the two interior angles are $70^{\circ}$ and $20^{\circ}$

7 0

3 years ago

I don't know how to do three and four

xenn [34]

Angle 3 is also 104: and angle 5 and 2 are 76: and angle 6 is 104: 3 and 8 are 104: and 7 and are 76

angle 1 and 6 are verticle angles
angles 7 and 8 are suplimentary
angles 4 and 5 are alternate exterior angles
andgle 2 and 4 are im not sure

5 0

3 years ago

Read 2 more answers