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2 years ago

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charlene has eight more dollars than Megan. Together they have $86.00. Which equiation can be used to determine the amount of mo

ney, m, Megan has?

1 answer:

Paul [167]2 years ago

8 0

Answer:

Megan has 35.00 dollars.

Step-by-step explanation:

Divide 86.00 by 2 which equals 43.00. Next, minus 8 from the 43.00 and you will get what Megan has. Megan has 35.00 dollars.

I hope this helps!

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Find the value of b. Then find the angle measures of the pentagon.

melamori03 [73]

Answer:

b = 90

Step-by-step explanation:

Sum the interior angles of the pentagon and equate to 540

Starting from the top and going clockwise

b + b + 45 + 90 + 2b - 90 + $\frac{3}{2}$ b = 540 ← simplify left side

$\frac{11}{2}$ b + 45 = 540 ( multiply through by 2 to clear the fraction )

11b + 90 = 1080 ( subtract 90 from both sides )

11b = 990 ( divide both sides by 11 )

b = 90

Thus

b + 45 = 90 + 45 = 135

2b - 90 = 2(90) - 90 = 180 - 90 = 90

$\frac{3}{2}$ b = $\frac{3}{2}$ × 90 = 135

The angle measure from the top clockwise are

90°, 135°, 90°, 90°, 135°

7 0

2 years ago

Help me solve this pls

ddd [48]

Answer:

$\frac{x - 10}{8}$

Step-by-step explanation:

$\frac{3x}{8} - \frac{x + 5}{4}$

The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.

Thus:

$\frac{1(3x) - 2(x + 5)}{8}$

$\frac{3x - 2x - 10}{8}$

$\frac{x - 10}{8}$

5 0

3 years ago

Two bicyclists are 7/8 of the way through a mile long tunnel when a train approaches the closer end at 40 mph. The riders take o

Anastaziya [24]

Answer:

the cyclists rode at 35 mph

Step-by-step explanation:

Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then

distance= speed*time

since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :

time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train

thus denoting v as the speed of the cyclists :

7/8*L / v = L / 40 mph

v = 7/8 * 40 mph = 35 mph

v= 35 mph

thus the cyclists rode at 35 mph

6 0

3 years ago

I need help can someone figure these out?

maw [93]

Answer:the 2nd one is 30000 divided by 2000 is 15

Step-by-step explanation: so 15 minutes til they crash the plane

4 0

2 years ago

Read 2 more answers

For each of the following vector fields

olga nikolaevna [1]

(A)

$\dfrac{\partial f}{\partial x}=-16x+2y$

$\implies f(x,y)=-8x^2+2xy+g(y)$

$\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y$

$\implies g(y)=5y^2+C$

$\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}$

(B)

$\dfrac{\partial f}{\partial x}=-8y$

$\implies f(x,y)=-8xy+g(y)$

$\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x$

$\implies \dfrac{\mathrm dg}{\mathrm dy}=x$

But we assume $g(y)$ is a function of $y$ alone, so there is not potential function here.

(C)

$\dfrac{\partial f}{\partial x}=-8\sin y$

$\implies f(x,y)=-8x\sin y+g(x,y)$

$\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=4y$

$\implies g(y)=2y^2+C$

$\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}$

For (A) and (C), we have $f(0,0)=0$ , which makes $C=0$ for both.

4 0

2 years ago