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jekas [21]
2 years ago
5

Fill in each box with the correct number or variable 5(x+9)=5 • + 5 •

Mathematics
1 answer:
photoshop1234 [79]2 years ago
4 0

Step-by-step explanation:

5(x + 9) = 5*x + 5*9

which is

5x + 45

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Place the numbers in order from greatest to least.90.9890.08990.989.8990
padilas [110]

EXPLANATION:

The decimal number that is greater is the one with the largest integer part. If they have the same integer part, the first different decimal place is compared.

Now we are going to order the numbers of the exercise,

The correct order is:

-90.98

-90.9

-90.089

-90

-89.89

6 0
1 year ago
Jessica's penny bank is 1/3 full. After she adds 80 pennies, it is 1/2 full. How many pennies can Jessica's bank hold?
Ilia_Sergeevich [38]
3x = B
(x + 80 = 1/2B) * -3
-3x-240 = -3/2B

-240 = -1/2B
B=480 pennies



6 0
3 years ago
Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
2 years ago
James defines a line segment as "a portion of a line." His statement is not precise enough because he should specify that
vekshin1

Answer: D. the segment has two endpoints.

Step-by-step explanation:

A line segment refers to a part of a line which is bounded by two distinct end points. The line segment is part of the line which helps in the connection of two points that are considered to be the endpoints.

A line segment is the distance between the two points and which one measure.

They can be used to form a side of a polygon because they have a defined length.

8 0
3 years ago
A can of soup weights 251 grams. How many cans<br> Would weigh about a kilograrn?
mart [117]

Answer:

0.251 kg

Step-by-step explanation:

To convert from grams to kilograms, we divide the # of grams by 1000, or move the decimal point to the right by 3.

  • 25.1
  • 2.51
  • 0.251

Therefore, the answer is 0.251 kg.

4 0
2 years ago
Read 2 more answers
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