All categories

3 years ago

In the equation below, solve for x a+12x=m

Mathematics

2 answers:

ryzh [129]3 years ago

5 0

Answer:

x = $\frac{m-a}{12}$

Step-by-step explanation:

Isolate the term in x by subtracting a from both sides

12x = m - a ← divide both sides by 12

x = $\frac{m-a}{12}$

Varvara68 [4.7K]3 years ago

5 0

X=m/12-a/12 I hope this help

You might be interested in

Decide which rule, if any, proves the triangles congruent.

alexdok [17]

Answer:

A) SSS

Step-by-step explanation:

The triangles are congruent by SSS rule

WC = FY

MC = FP

WM = YP

5 0

3 years ago

The floor of a NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

fiasKO [112]

The cubic feet of space that is in the subway car is the volume of the subway car which is 5,502.

<h3>How many cubic feet of space are there in a subway car?</h3>

The shape of a subway car is in the form of a rectangular prism. In order to determine the cubic feet of space, the volume of the car has to be determined. The formula for the volume of a rectangular prism would be used.

Volume = width x height x length

12 x 51 x 8.5 = 5205

Here is the complete question:

The floor of an NYC subway car measures approximately 51 feet by 8.5 feet. The height of the NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

To learn more about the volume of a cuboid, please check: brainly.com/question/26406747

5 0

3 years ago

E. What was the population in 1995? (the initial population for this situation) *

MaRussiya [10]

Answer:

Part e) $501,170\ people$

Part f) The decay factor is 0.98

Part g) Decreasing

Part h) $y=25,400(1+0.11)^x$

Part i) $345,071\ people$

Step-by-step explanation:

we have

$f(x)=501,170(0.98)^x$

where

x ----> is the number of years since 1995

f(x) ----> is the population of a Texas city

Part e) What was the population in 1995?

we know that

The equation of a exponential function decay is of the form

$y=a(1-r)^x$

where

a represent the initial value (y-intercept of the function)

therefore

In the given function

The initial value is the value of the function when the value of x is equal to zero

For x=0

$f(x)=501,170(0.98)^0=501,170\ people$

Part f) What is the growth/decay factor?

we know that

The equation of a exponential decay function is of the form

$y=a(1-r)^x$

where

(1-r) ----> is the decay factor

In this problem we have

$f(x)=501,170(0.98)^x$

(1-r)=0.98

therefore

The decay factor is 0.98

Part g) Is the population increasing or decreasing?

we know that

If the factor is greater than 1 then the population is increasing

If the factor is less than 1 and greater than zero, then the population is decreasing

In this problem

the factor is less than 1

0.98< 1 ----> is a decay factor

therefore

The population is decreasing

In the year 1995, the population of a town in Texas was recorded as 25,400 people. Each year since 1995, the population has increased on average by 11% each year

Part h) Write an exponential function to represent the town's population, y, based on the number of years that pass, x after 1995

we know that

The equation of a exponential growth function is of the form

$y=a(1+r)^x$

we have

$a=25,400\\r=11\%=11/100=0.11$

substitute

$y=25,400(1+0.11)^x$

$y=25,400(1.11)^x$

Part i) Based on the function, what is the population predicted to be in the year 2020?

Remember that the number of years is since 1995

x=2020-1995=25 years

substitute the value of x in the exponential function

$y=25,400(1.11)^25=345,071\ people$

3 0

4 years ago

Read 2 more answers

In the figure, angle D measures 31⁰ and angle A measures 27⁰

Zielflug [23.3K]

Answer:

1)B:63°

2)A:59°

Step-by-step explanation:

1.ABC is a right triangle at C then angle ACB=90°(right angle)

Angle CAB=27°(see the given)

measure of the angles in any triangle is 180°

then angle CBA=

measure of all the angles - (measure ACB+measure CAB)

=180°-(90°+27°)

=63°

2. Same explanation of angle B:

in the right triangle DEF: angle DEF=90°

angle D=31°(given)

Then measure of angle A=180°-(angle E + angle D)

=180-(90+31)=59°

3 0

3 years ago

Read 2 more answers

Find the x - and y-intercepts of the graph of the linear equation –6x + 9y = -18

natulia [17]

Answer:

x-intercept = -6 y-intercept = 9

Step-by-step explanation:

4 0

3 years ago