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Doss [256]
8 months ago
11

AI

Mathematics
1 answer:
Iteru [2.4K]8 months ago
8 0

In order to find the equivalent expression, let's use the following property:

a-(-b)=a+b

In other words, when subtracting a negative number, we can just add the corresponding positive number, that is, switch the two negative signs for a positive sign.

So we have that:

\begin{gathered} 18\frac{1}{5}-(-22\frac{2}{5})-(-40\frac{1}{5}) \\ =18\frac{1}{5}+22\frac{2}{5}+40\frac{1}{5} \end{gathered}

Therefore the correct option is D.

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Solve the system of equations.
guajiro [1.7K]

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

3 0
2 years ago
A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Varvara68 [4.7K]

Answer:

2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \pi 10^{2} = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\pi10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = 2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

6 0
2 years ago
PLEASE HELP W/ MATH PROBLEM
Ilia_Sergeevich [38]

Answer:

11. 736080 cars //   12. 5397920 cars

Step-by-step explanation:

given total number of cars produced : 6,134,000

100% -->6,134,000

1%--> 6,134,000 /100

1% --> 61340

given big cars of America is 12%

so to find this 12% = 12 * 61340 = 736080 cars produced by America

by other manufactures =  total cars - big cars of America

                                       = 6,134,000 - 7,36,080

                                       = 5397920 cars

3 0
2 years ago
15 pts plz help
RoseWind [281]

Answer:

two the right then below

Step-by-step explanation:


6 0
3 years ago
Let g be the function given by g(x)=-3x^2-2x+3 evaluate g(-2)
sashaice [31]

g(x) = -3x² - 2x + 3

g(-2) = -3(-2)² - 2(-2) + 3

g(-2) = -12 + 4 + 3 = -5

8 0
3 years ago
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