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photoshop1234 [79]
3 years ago
7

Simplify to create an equivalent expression. −r+8(−5r−2)

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Hello there! :)

<u><em>Answer:</em></u>

<u><em>-41r-16</em></u>

<u><em>*The answer must have a negative sign.*</em></u>

Step-by-step explanation:

Using Properties to Simplify Expressions

Distributive property: a(b+c)=ab+ac

First, expand equation.

8(-5r-2)=8*5=40=-40r-16

-r-40r-16

Then add by similar to elements.

-r-40r=-41r

Answer: =-41r-16

Hope this helps!

-Charlie

Thanks!

:)

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Whats the answer in these boxexs
svetoff [14.1K]

Answer: 17 nickels, 8 dimes

Step-by-step explanation:

Since we are given system of equations, we can use elimination method to find n or d. First, let's eliminate n. To do so, we need to make sure they are equal to each other. Then, we would have to multilpy the second equaiton by 0.05.

0.05N+0.1D=1.65

0.05N+0.05D=1.25

Now, we can subtract the 2 equations.

0.05D=0.4

D=8

Now that we know the number of dimes, we can plug it into any of the equations to find nickels.

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There are 17 nickels and 8 dimes.

5 0
2 years ago
First-order linear differential equations
kkurt [141]

Answer:

(1)\ logy\ =\ -sint\ +\ c

(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

Step-by-step explanation:

1. Given differential equation is

  \dfrac{dy}{dt}+ycost = 0

=>\ \dfrac{dy}{dt}\ =\ -ycost

=>\ \dfrac{dy}{y}\ =\ -cost dt

On integrating both sides, we will have

  \int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}

=>\ logy\ =\ -sint\ +\ c

Hence, the solution of given differential equation can be given by

logy\ =\ -sint\ +\ c.

2. Given differential equation,

    \dfrac{dy}{dt}\ -\ 2ty\ =\ t

=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty

=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})

=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt

On integrating both sides, we will have

   \int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}

=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c

=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

Hence, the solution of given differential equation is

log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

8 0
3 years ago
Consider the quadratic equation x? = 4x - 5. How many solutions does the equation have? A The equation has one real solution. Th
anzhelika [568]

Answer:

{-1, 5} (two real solutions).

Step-by-step explanation:

On the left side we want x^2, not x?

We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:

x^2 - 4x + 5 = 0

This factors easily to (x - 5)(x + 1) = 0.

We let each factor equal zero (0) separately and solve for x:  

{-1, 5} (two real solutions).

4 0
2 years ago
What is the diameter of the circumference of pi?
katen-ka-za [31]
When a circle's diameter is 1, its circumference is π.
4 0
2 years ago
Two angles are supplementary angles. One angle measures 58 degrees. The other angle measures 3n + 5 degrees. What is the value o
stepladder [879]

Answer:

39

Step-by-step explanation:

Angles are supplementary when they add up to 180.  So, we know the other angle that isn't 58 is 180-58=122.  Therefore, 122=3n+5\\3n=117\\n=39

5 0
3 years ago
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