Solve the equation. x/2 + 2x/3 =5

Answers

Answer 1

Answer: x=30/70 it is simple if you think about it

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Patricia cut two pizzas into eighths she ate 1/4 of pizza on Friday and ate 3 slices on Saturday how much pizza is left

Answers

If you cut both pizzas into eighths that means that each pizza has 8 pieces. For two pizzas cut in eighths that would be 16 pieces of pizza.
1/4 of one pizza is 2 pieces.
So 16 minus 2 pieces is 14 pieces.
If she ate another 3 pieces then we subtract that from 14.
14 minus 3 is 11 pieces.
There is 11 pieces of pizza left from the original 16 pieces.

Final answer:

If Patricia had two pizzas cut into eighths, she had 16 slices. After eating 1/4 of a pizza (2 slices) on Friday and 3 slices on Saturday (total of 5 slices), she had 11 slices left.

Explanation:

Patricia had two pizzas, and each was cut into eighths. This implies she had 2 * 8 = 16 slices of pizza initially. If Patricia ate 1/4 of a pizza on Friday, that's equivalent to eating two slices (since each pizza had 8 slices) and then she ate 3 more slices on Saturday. So, Patricia in total ate 2 + 3 = 5 slices.

Subtracting the amount Patricia ate from her initial number of slices will give the remaining slices. So, she has 16 - 5 = 11 slices of pizza left.

Learn more about Fractional Division of Pizza here:

brainly.com/question/37053140

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For the data in the table, does y vary directly with x? If it does, write an equation for the direct variationx y
10 12
15 18
20 24

Answers

Say that:

$\left( { x }_( 1 ),{ y }_( 1 ) \right) =\left( 10,12 \right) \n \n \left( { x }_( 2 ),{ y }_( 2 ) \right) =\left( 15,18 \right) \n \n \therefore \quad \frac { \delta y }{ \delta x } =\frac { { y }_( 2 )-{ y }_( 1 ) }{ { x }_( 2 )-{ x }_( 1 ) } =\frac { 18-12 }{ 15-10 } =\frac { 6 }{ 5 } \n \n$

If this is the case,

$y=\frac { 6 }{ 5 } x$

Another way to solve the problem,

$y\propto x\n \n \therefore \quad y=kx$

When x=10, y=12, so...

$12=k\cdot 10\n \n k=\frac { 12 }{ 10 } =\frac { 6 }{ 5 } \n \n \therefore \quad y=\frac { 6 }{ 5 } x$

Answer:

y=1.2x

Step-by-step explanation:

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resistance is 722 ohms. What is the current when the resistance is 768 ohms? Round your answer to two decimal places if necessary.

Answers

Answer:

The current is 5.64 Ampere when resistance is 768 ohms .

Step-by-step explanation:

As given

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.

Thus

$I \propto (1)/(R)$

$I=(k)/(R)$

Where k is the constant of proportionality .

The current is 6 amperes when the resistance is 722 ohms.

I = 6 amperes

R = 722 ohms

Put all the values in the formula

$6=(k)/(722)$

k = 6 × 722

k = 4332

As given

when the resistance is 768 ohms .

R = 768 ohms

K = 4332

Put in the formula $I=(k)/(R)$ .

$I=(4332)/(768)$

I = 5.64 Ampere

Therefore the current is 5.64 Ampere when resistance is 768 ohms .

Basically, this is Ohm's Law:
V=RI where V is the tension in volts;
You have that V=722×6=4332 Volts
Using this value for V you have that:
4332=768×I
So I=5.64 A

Is the product of square root of 8 and square root of 98 rational or irrational

Answers

Answer:i think its rational

Step-by-step explanation:

A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?