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kicyunya [14]
3 years ago
7

7 - 5x > 3x + 31

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)

Step-by-step explanation:

Hi, to answer this question we have to solve the inequality for x:

7 - 5x > 3x + 31

7-31 > 3x +5x

-24 > 8x

-24/8 > x

-3 > x

x < -3

So, the correct option is:

B. (all numbers less than or equal to -3 will satisfy the inequality)

Feel free to ask for more if needed or if you did not understand something.

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I need help ASAP. I'm not good with math.
bonufazy [111]

Given:

The increase in pressure P is the linear function of the depth d.

P(d)=0.445d+14.7

The cost of dinner is $300 and $10 per students.

To find:

The initial value and rate of change and their interpretation.

Find the cost function C where n is the number of students.

Solution:

The slope intercept form of a linear function is

f(x)=mx+b          ...(i)

where, m is rate of change and b is y-intercept or initial value.

We have,

P(d)=0.445d+14.7        ...(ii)

From (i) and (ii), we get

m=0.445,b=14.7

The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.

Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.

The cost of dinner is $300 and $10 per students.

Let C(n) be the total cost for dinner and n be the number of students.

Fixed cost = $300

Additional cost for 1 student = $10

Additional cost for n student = $10n

Now,

Total cost = Fixed cost + Additional cost

C(n)=300+10n

Therefore, the required cost function is C(n)=300+10n.

8 0
2 years ago
3 + 11 . (8 - 4) ÷ (5 + 6) - 4
Irina-Kira [14]

Answer:

3

Step-by-step explanation:

3 + 11 ⋅ ( 8 − 4 ) ÷ ( 5 + 6 ) − 4

 Subtract  4  from  8 .

3 + 11 ⋅ 4 ÷ ( 5 + 6 ) − 4

Multiply  11  by  4 .

3 + 44 ÷ ( 5 + 6 ) − 4

Find the common denominator.  

Add  5  and  6 .

3 + 44 ÷ 11 − 4

Write  3  as a fraction with denominator  1 .

3/ 1 + 44 ÷ 11 − 4

Multiply  3/ 1  by  11/ 11 .

3/ 1 ⋅ 11 /11 + 44 ÷ 11 − 4

Multiply  3/ 1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 − 4

Write  − 4  as a fraction with denominator  1 .

3 ⋅ 11 /11 + 44 ÷ 11 +  − 4 /1

Multiply  − 4 /1  by  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 + − 4 /1  ⋅ 11 /11

Multiply  

− 4 /1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 +   − 4 ⋅ 11 /11

Combine the numerators over the common denominator.

3 ⋅ 11 + 44 − 4 ⋅ 11 /11

Simplify each term.  

Multiply  3  by  11 .

33 + 44 − 44 ⋅ 11/ 11

Multiply  − 4  by  11 .

33 + 44 − 44 /11

Simplify the expression.  

Add  33  and  44 .

77 − 44/ 11

Subtract  44  from  77 .

33 /11

Divide  33 by  11 .

3

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3 years ago
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Find the volume of the cone
Sav [38]

Answer: 18.85 units^3

Step-by-step explanation:

V = 3.14 x r^2 x h/3

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3 years ago
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Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of
gavmur [86]

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

<u>12P + 18D = 133.5</u>          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

=========================

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

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What is the answer to so love the equation of 5(x+1)= -10
Bas_tet [7]

Answer:

.4

Step-by-step explanation:

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3 years ago
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