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GuDViN [60]
3 years ago
12

Simplify the following algebraic expression. 3/4(1/2x-12)+4/5​

Mathematics
2 answers:
Nana76 [90]3 years ago
5 0

Answer:

Step-by-step explanation:

(3/8)x - 9 + 4/5

40(3/8x - 9 + 4/5)

15x - 360 + 32

15x - 328

zloy xaker [14]3 years ago
3 0

Answer:

3/8 x - 7 1/5

Step-by-step explanation:

3/4 (1/2 x - 12) + 4/5

3/8 x - 8 + 4/5

15/40 x - 8 x 32/40

15/40 x - 7 8/40

15/40 x - 7 1/5

3/8 x - 7 1/5

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A rectangle has an area of 8/9 square yard. Which could be the dimensions of the rectangle?
katen-ka-za [31]

Answer:

There could be any number of dimensions as long as the two dimensions multiply to 8/9

Step-by-step explanation:

One example of this would be 2 by 4/9

2 * 4/9 = 8/9

6 0
3 years ago
Can I get some help we just started this today
Alja [10]

Answer:

-2

Step-by-step explanation:

The slope of a line tells us how y responds to a change in x.  If the slope is 2, it means that for every time x increases by 1, will will go up by 2.

We can calculate slope from a line, or with two given points.  I used points (0,4) and (3,-2).  Slope is the "Rise/Run."

The Rise:  (-2 - 4) = -6

The Run:  (3 - 0) = 3

Slope = Rise/Run = (-6/3) = -2

6 0
2 years ago
What does the residual of -3 mean?
Zielflug [23.3K]

Answer:

Plz mark brainlest!

Step-by-step explanation:

Residual describes what remains after most of something is gone. It's an almost formal word for what's leftover. If you've gotten over your breakup but you still have the urge to kick your ex, then you have some residual bitterness.Residual. The vertical distance between a data point and the graph of a regression equation. The residual is positive if the data point is above the graph. Hope this helps! Ask me anything if you have any quistions!

6 0
3 years ago
URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))
andriy [413]

Answer:

1. Steve's age is 18 and Anne's age is 8.

2. Max's age is 17 and Bert's age is 11.

3. Sury's age is 19 and Billy's age is 9.

4. The man's age is 30 and his son's age is 10.

Step-by-step explanation:

1. Let us assume that:

S = Steve's age now

A = Anne's age now

Therefore, in four years, we have:

S + 4 = (A + 4)2 - 2

S + 4 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we have:

S - 3 = (A - 3)3

S - 3 = 3A - 9 ................................ (2)

From equation (2), we have:

S = 3A - 9 + 3

S = 3A – 6 …………. (3)

Substitute S from equation (3) into equation (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into equation (3), we have:

S = (3 * 8) – 6

S = 24 – 6

S = 18

Therefore, Steve's age is 18 while Anne's age is 8.

2. Let us assume that:

M = Max's age now

B = Bert's age now

Therefore, five years ago, we have:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (4)

A year from now, we have:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30 .......................... (5)

From equation (5), we have:

M = 30 – 2 – B

M = 28 – B …………………… (6)

Substitute M from equation (6) into equation (4) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

Substituting B = 11 into equation (6), we have:

M = 28 – 11

M = 17

Therefore, Max's age is 17 while Bert's age is 11.

3. Let us assume that:

S = Sury's age now

B = Billy's age now

Therefore, now, we have:

S = B + 10 ................................ (7)

Next year, we have:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (8)

Substituting S from equation (7) into equation (8) and solve for B, we have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (7), we have:

S = 9 + 10

S = 19

Therefore, Sury's age is 19 while Billy's age is 9.

4. Let us assume that:

M = The man's age now

S = His son's age now

Therefore, now, we have:

M = 3S ................................... (9)

Five years ago, we have:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (10)

Substituting M from equation (9) into equation (10) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (9), we have:

M = 3 * 10

M = 30

Therefore, the man's age is 30 and his son's age is 10.

5 0
3 years ago
A tennis ball is 2 inch in diameter. How many tennis ball will fill a room of 20ft by 16ft by 18ft if no space wasted?
krek1111 [17]

The number of tennis ball that will fill the room is <u>1,371 tennis balls.</u>

<em><u>Given</u></em>:

Diameter of ball (d) : 2 inch

Radius (r) = half of diameter = 1 inch

Dimension of room = 20ft by 16ft by 18ft

Number of balls that will fill the room = Volume of each ball/volume of the room

Volume of the ball = volume of a sphere = \frac{4}{3} \pi r^{3}

Where,

r = 1

let \pi = 3.14

<em>Substitute</em>:

Volume = \frac{4}{3} \times 3.14 \times 1^{3} \\Volume = 4.2in^{3}

Volume of the room = 20 \times 16 \times 18 \\

= 5,760

Therefore:

number of tennis balls that will fill the room = \frac{5,760}{4.2} = 1,371.4

Therefore, the number of tennis ball that will fil the room will be <u>approximately 1,371.</u>

Learn more about volume here:

brainly.com/question/16098833

7 0
2 years ago
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