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2 years ago

How to solve 2x-1/2=3-x

1 answer:

5 0

To solve for x:
Move all the terms containing "x" to the left side of the equation. Do this by adding x to both sides.

2x+x=3x. The new equation is:
3x-1/2=3

Now, move all terms not containing "x" to the right side of the equation. Do this by adding 1/2 to both sides.
3x=3+1/2 The new equation is:
3x=3 1/2, or 3.5

The final step is to isolate x. To do so, divide each side by 3.
3x/3 = 3 1/2 /3 The new equation is:
x=1 1/6

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the length of a rectangle is three times the width. the sum of the lenth and the width is 24 intches. what is the length of the

Mazyrski [523]

?x3=24
8x3=24
So the length = 8 inches

5 0

2 years ago

Read 2 more answers

The perimeter of a rectangular field is 264 yards. If the width of the field is 54 yards, what is its length?

SIZIF [17.4K]

P = 2(L + W)
P = 264
W = 54

264 = 2(L + 54)
264 = 2L + 108
264 - 108 = 2L
156 = 2L
156/2 = L
78 <=== Length is 78 yards

7 0

3 years ago

Read 2 more answers

Find dy/dx for y= 4^(lnx)

telo118 [61]

Answer:

$y'=\ln(4)\frac{4^{\ln(x)}}{x}$

Step-by-step explanation:

$y=4^{\ln(x)}$

Take natural log of both sides:

$\ln(y)=\ln(4^{\ln(x)})$

Use power rule of logarithms:

$\ln(y)=\ln(x)\cdot\ln(4)$

Let's differentiate.

$\frac{y'}{y}=\frac{1}{x} \cdot \ln(4)$

I applied chain rule on the left side and I apply constant multiple rule to the right side.

Let's multiply both sides by $y$ :

$y'=y \cdot \frac{1}{x} \cdot \ln(4)$

We started with $y=4^{\ln(x)}$ so let's make that replacement:

$y'=4^{\ln(x)} \cdot \frac{1}{x} \cdot \ln(4)$

Let's simplify it a bit:

$y'=\ln(4)\frac{4^{\ln(x)}}{x}$

7 0

3 years ago

Read 2 more answers

10) Eve has a fall job to pick pumpkins at the farm.

liberstina [14]

Answer:

$37.60

Step-by-step explanation:

Eve earns:

$4.00 per 12 minutes spent picking pumpkins
$4.40 per 12 minutes spent picking apples

Money earned from picking pumpkins:

1 hour = 60 minutes

$\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 60\:minutes\\\\& = \sf \$4.00\:per\:12\:minutes \times 60\:minutes\\\\& =\sf \dfrac{\$4.00}{12\:minutes} \times 60\:minutes\\\\ & = \sf \$4.00 \times \dfrac{60\:minutes}{12\:minutes}\\\\ & = \sf \$4.00 \times 5\\\\ & = \sf\$20.00\end{aligned}$

Money earned from picking apples:

$\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 48\:minutes\\\\& = \sf \$4.40\:per\:12\:minutes \times 48\:minutes\\\\& =\sf \dfrac{\$4.40}{12\:minutes} \times 48\:minutes\\\\ & = \sf \$4.40 \times \dfrac{48\:minutes}{12\:minutes}\\\\ & = \sf \$4.40 \times 4\\\\ & = \sf\$17.60\end{aligned}$

Total earned:

= money earned from picking pumpkins + money earned from picking apples

= $20.00 + $17.60

= $37.60

6 0

2 years ago

Read 2 more answers

Mya has 78 pounds of bird food she put an equal portion on the phone birdfeeders how much bird food in pounds does she put in ea

tatuchka [14]

answer:

7/32 or 0.2 lbs

step-by-step explanation:

given:

mya has 7/8 pound of bird food. she puts an equal portion into 4 bird feeders. how much bird food, in pounds, does she put in each bird feeder?

solution:

let us assume that, she put x pounds in each bird feeder.

(pound in each feeder) * the total number of feeders = total food.

filling in the missing variables-

x * 4 = (7/8)

x = (7/8) ÷ 4

x = (7/8) * (1/4)

x = (7/32)lbs

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

8 0

2 years ago