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RoseWind [281]
1 year ago
13

Compute the sum a. 3,577 b. 7,161 c. 1,792 d. 1,785

Mathematics
1 answer:
Studentka2010 [4]1 year ago
6 0

Answer:14315

Step-by-step explanation:

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(03.01 MC)
vekshin1

Answer:

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m_{1}=\frac{2-0}{0-2}

m_{1}=-1

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

B(2, 0) → B'(4, 0)

Slope of line f',

m_{2}=\frac{0-4}{4-0}

m_{2}=-1

Since, m_{1}=m_{2}=-1

Therefore, both the lines f and f' will be parallel.

Option (1) will be the answer.

6 0
3 years ago
Linear system please help 60 points * please please please help will give brainlist
bearhunter [10]

Answer:

1. a. b = - 8

b. x = 8

c. x = 11

d. x = 5

2. 12 soccer balls and 8 basketballs can be purchased.

Step by step explanation

a. - 14 + 6b + 7 - 2b = 1 + 5b

Calculate the sum

- 7 + 6b - 2b = 1 + 5b

Collect like terms

7 + 4b = 1 + 5b

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change its sign

4b - 5b = 1 + 7

Collect like terms

- b = 8

Change the signs on both sides of the equation

b =  - 8

-----------------------------------------------------------------

b. \frac{5x   + 10}{ - 6}  =  - 5

Apply cross product property

5x + 10 =  - 5 \times  ( - 6)

Multiply the numbers

5x + 10 = 30

Move constant to R.H.S and change its sign

5x = 30 - 10

Calculate the difference

5x = 20

Divide both sides of the equation by 5

\frac{5x}{5}   = \frac{20}{5}

Calculate

x = 4

----------------------------------------------------------------

c. - 15 =  \frac{ - 8x - 17}{7}

Apply cross product property

- 15 \times 7 =  - 8x - 17

Multiply the numbers

- 105 =  - 8x - 17

Swap the sides of the equation

- 8x - 17 =  - 105

Move constant to R.H.S and change its sign

- 8x =  - 105 + 17

Calculate

- 8x =  - 88

Change the signs on both sides of the equation

8x = 88

Divide both sides of the equation by 8

\frac{8x}{8}  =  \frac{88}{8}

Calculate

x = 11

------------------------------------------------------------------

D. 5 = 6x + 5(x - 10)

Distribute 5 through the parentheses

5 = 6x + 5x - 50

Collect like terms

5 = 11x - 50

Swap both sides of the equation

11x - 50 = 5

Move constant to R.H.S and change its sign

11x = 5 + 50

Calculate the sum

11x = 55

Divide both sides of the equation by 11

\frac{11x}{11}  =  \frac{55}{11}

Calculate

x = 5

------------------------------------------------------------------

2.

Solution,

No.of students in soccer = x

No.of students in basketball = y

Total no.of students = 20

i.e x + y = 20 → equation ( i )

Cost of soccer ball = $ 7

Cost of basketball = $ 10

Total budget = $ 164

i.e 7x + 10 y = 165 → equation ( ii )

In equation ( i ),

x + y = 20

Move 'y' to R.H.S and change its sign

x = 20 - y

Put the value of x in equation ( i )

7(20 - y) + 10y = 164

140 - 7y + 10y = 164

3y = 164 - 140

3y = 24

y =  \frac{24}{3}

y = 8

Now, put the value of y in equation ( i ) ,

x + y = 20

x + 8 = 20

x = 20 - 8

x = 12

Hence, 12 soccer balls and 8 basketballs can be purchased.

Hope this helps...

Best regards!!

6 0
3 years ago
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Beg someone helps me w this question
Alex Ar [27]

Answer:

(x+1)^{2} +4

a = 1

b = 4

Step-by-step explanation:

hope this helps!! p.s. i really need brainliest :)

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2 years ago
The increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widel
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I think it’s a carrot
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Group fractions from greatest to least 1/4, 1/2, 1/3
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1/2, 1/3, 1/4 would be the order from greatest to least
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3 years ago
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