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3 years ago

What is the value of x in the equation 2x – 3 = 9 – 4x?

Mathematics

2 answers:

DENIUS [597]3 years ago

6 0

2*3 = 6 - 3 = 3
4*3 = 12 - 9 - 3
x= 3

nikdorinn [45]3 years ago

4 0

2x-3=9-4x
step 1: put like terms on the same side of the equation
2x+4x=9+3
step 2: add/subtract like term
6x=12
step 3: isolate the variable (x)
6x/6=12/6
final answer: x=2

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The radius of a sphere is multiplied by 1/7. What effect does this have on the volume of the sphere?

Cloud [144]

Answer:

The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343

Step-by-step explanation:

In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.

Mathematically, the volume of a sphere V can be calculated using the formula

V = 4/3 * π * r^3

Now multiplying the radius by 1/7, the new radius will be r/7

Thus the new volume here will be

V2 = 4/3 * π * (r/7)^3

V2 = 4/3 * π * (r^3)/343

Thus we can conclude that the value of the volume will be decreased by a factor of 343

Meaning the ratio of the old volume to the new volume will be 1 to 343

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4 years ago

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Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.

UkoKoshka [18]

Answer:

C. 5.2 cm

Step-by-step explanation:

Arc length formula:

$s = \dfrac{n}{360^\circ} 2 \pi r$

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n = central angle of arc

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diamter = d = 10 cm

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3 years ago

Monica and Lauren know that they will need a lot of money in order to make the purchases necessary for a successful bakery. They

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Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30

<h3>What are linear equations</h3>

Linear equations are equations that have constant rates

A linear equation is represented as:

y = mx+ b

In this case,

m represents the deposit per week
b represents the initial deposit

So, the linear equations are:

y =153.46x --- for Monica
y = 128.90+ 127.68x -- For Lauren

To calculate the number of weeks, when they have the same amount, we equate both equations

$153.46x = 128.90 + 127.68x$

Collect like terms

$153.46x -127.68x= 128.90$

$25.78x= 128.90$

Solve for x

$x= 5$

Substitute 5 for x in

$y = 153.46x$

$y = 153.46 * 5$

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Hence, it will take 5 weeks for both accounts to have the same amount of $767.30

Read more about linear equations at:

brainly.com/question/14323743

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