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gayaneshka [121]
3 years ago
5

What is the answer to -28 + 38

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

What if I wrote          +  38 - 28  .

Would you be able to solve it that way ?

They're both the same number.

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Nick decided to take 2/5 of the money in his bank account and donate it to a local charity. If nick donated $70 to a local chari
S_A_V [24]

Answer:

<u> The total amount = $175</u>

Step-by-step explanation:

Let the total amount in his bank account = x

Nick decided to take 2/5 of the money in his bank account and donate it to a local charity

So, he donates with \frac{2}{5} x

If nick donated $70 to a local charity

so, \frac{2}{5} x = 70

solve for x

∴ x = 5*70/2 = 350/2 = $175

<u>So, The total amount = $175</u>

3 0
3 years ago
What is the solution to the system of equations that contains −3x + y = 3 and 2x − y = −1? no solution (−1, 3) infinite number o
Paraphin [41]

Answer:

A) −3x + y = 3

B) 2x − y = −1  Adding both equations:

-x = 2

x = -2  y = -3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find cos(2115°) and sin(2115°). Identify the measure of the reference angle.
ivolga24 [154]

Answer:

Cos(2115°) =1/√2

Sin(2115°) = -1/√2

Step-by-step explanation:

We have to find the values of Cos (2115°) and Sin (2115°).

Now, 2115° can be written as (23×90°+ 45°).

Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.

Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)

Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)

Now, the required reference angle is 45°. (Answer)

8 0
4 years ago
Solve each equation by completing the square <br>r² = –12r - 35​
Fittoniya [83]

Answer:

r = - 7, r = - 5

Step-by-step explanation:

Given

r² = - 12r - 35 ( add 12r to both sides )

r² + 12r = - 35

To complete the square

add ( half the coefficient of the r- term )² to both sides

r² + 2(6)r + 36 = - 35 + 36

(r + 6)² = 1 ← take the square root of both sides )

r + 6 = ± 1 ( subtract 6 from both sides )

r = - 6 ± 1, thus

r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5

7 0
3 years ago
Write an expression for the area of the shaded region in its simplest form. Show all of your steps.
patriot [66]
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:

((x+10)(2x+5)) - ((x+1)(x+1))

First, FOIL both of the areas separately:

(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)

Simplify within the parentheses by adding like terms:

(2x^2 + 25x + 50) - (x^2 + 2x + 1)

Now, subtract one equation from the other:

2x^2 + 25x + 50
-x^2  -    2x  -   1
= x^2 + 23x + 49

This will be the equation for the area.
3 0
3 years ago
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