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sattari [20]
3 years ago
13

4(v+7) = -6(3v-4) +8v​

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

v=−27

Step-by-step explanation:

Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.

−6(3v−4)+8v=4(v+7)

Simplify −6(3v−4)+8v

−10v+24=4(v+7)

Simplify 4(v+7).

−10v+24=4v+28

Move all terms containing v to the left side of the equation.

−14v+24=28

Move all terms not containing v to the right side of the equation.

−14v=4

Divide each term by −14 and simplify.

v=−27

The result can be shown in multiple forms.

Exact Form:

v=−27

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A Child’s Growth and Prosperity
MArishka [77]

Answer:

a) 0.75 inch/month

b) y-20 = 0.75(x-4)

c) 17 inches

d) 44

a) 0.8 inch/month

b) yes

c) y = 0.8x + 18.8

d) 18.8 inches

Step-by-step explanation:

a) (21.5-20)/(6-4) = 1.5/2

= 0.75 inch/month

If this is correct, 2 months after the 6th month (month 8), it should be

21.5 + 2(0.75) = 23

Which it is

b) y-y1 = m(x-x1)

Where y is the length, x is the months, m is the slope and (x1,y1) is a known point

At x = 4, y = 20

y-20 = 0.75(x-4)

Or

y = 0.75x + c

20 = 0.75(4) + c

c = 20 - 3 = 17

y = 0.75x + 17

c) at birth, 4 months before month 4

So, 20 - 0.75(4) = 17

Which is also the y-intercept

d) y = 0.75(36) + 17

y = 27 + 4 = 44 inches

Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches

a) slope = (30-22)/(14-4)

= 0.8 inch/month

b) 0.8 > 0.75, so yes

c) When x = 4, y = 22

y-22 = 0.8(x - 4)

y - 22 = 0.8x - 3.2

y = 0.8x + 18.8

y-intercept is 18.8

d) at birth, x = 0.

Length was 18.8 inches

Step-by-step explanation:

6 0
2 years ago
J'Neices cell phone plan is $79 per month for unlimited calling plus 1000 text messages. Text messages over 1000 cost $0.15 each
BaLLatris [955]

Answer:

C. 244

Step-by-step explanation:

It costs 79 dollars a month = 79x

It costs 0.15 dollars for every text message over 1000 = 0.15y

The equation is:

79x + 0.15y = z

X = months

Y =  Each text message over 1000

Z = the total amount spent

Let's plug in our values

79(1) + 0.15(1100) = z

79 * 1 = 79

0.15 * 1100 = 165

79 + 165 = z

79 + 165 = 244

z = 244

C. 244

7 0
3 years ago
Find the midpoint of if A(-3, 8) andB(-7, -6).
Mama L [17]

Answer:

(-5,1)

Step-by-step explanation:

8 0
2 years ago
Express in the form of p/q :<br><br> (i) 0.12▁3 (ii) 0. ▁621 (iii) 2.2▁18​
konstantin123 [22]

Answer:

1)0.123( bar on 3)

Let X = 0.123 ( bar on 3)

Then X = 0.1233 --------(1)

Multiply equation (1) by 100 we get,

100X = 12.33 --------(2)

Again multiply equation (2) by 10 we get,

1000X = 123.33 -------(3)

Subtract equation (2) from equation (3) we get,

1000X = 123.33

100X = 12.33

____________

900X = 111

X = 111/900

Hence,

0.123 ( bar on 3) is in the form of 111/900 which is in the form of P/Q.

6 0
3 years ago
The price of grapes, g, is $2.19 per pound. The price of bananas, b, is $0.59 per pound. The price of pears, p, is $1.49 per pou
AlekseyPX
Part A.
Before you can write any sort of expression, you need to define variables. "grapes g" is not a definition, so the exercise seems meaningless as written. It seems the intent is to ...
  let g, b, p represent the numbers of pounds of grapes, bananas, and pears, respectively.

Then, the total cost of some weight of fruit is
  2.19g + 0.59b + 1.49p


Part B.
For g=3, b=3, p=2, the expression evaluates to
  2.19*3 +0.59*3 +1.49*2 = 11.32

The total cost of 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears is ...
  $11.32
3 0
3 years ago
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