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Anna35 [415]
3 years ago
8

Solve for Variable: 3x + 7 < 16 A. x > 3 B. x < 5 C. x > 6 D. x < 3

Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

D. x < 3

Step-by-step explanation:

3x + 7 < 16

To solve, we have to isolate x.

3x + 7 < 16

Subtract 7 from both sides :

3x < 9

Divide 3 from both sides :

x < 3

Now in some cases, you could say that the inequality sign would switch, but this is only when you divide by a negative sign, so keep that in mind.

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18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears?
vichka [17]

Answer:

  • 5/9

Step-by-step explanation:

  • Total number of bikes = 18
  • Bikes with gears S = 9
  • Bikes with suspension S = 11
  • Bikes with both GS = 5

<u>From the information above we have:</u>

  • Bikes with gears only = 9 - 5 = 4
  • Bikes with suspension only = 11 - 5 = 6

<u>Sum of the above two gives us the number of bikes with suspension or gears:</u>

  • 4 + 6 = 10

<u>Probability of selected bike be G or S is:</u>

  • P(G or S) = 10/18 = 5/9
4 0
3 years ago
What expression is equivalent to 4(u+11)
qaws [65]

Answer:

4u+44

Step-by-step explanation:

The number 4 on the outside of the parentheses is being multiplied by everything within the parentheses, resulting in a product of 4u+44

3 0
3 years ago
40 is a rational number.
Sauron [17]

Answer: if its a true or false question then yes 40 is a rational number

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
D
Gelneren [198K]

Answer:

General equation of line : y = mx+c   --1

Where m is the slope or unit rate

Table 1)

p    d

1      3

2     6

4     12

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

First find the slope

First calculate the slope of given points

m = \frac{y_2-y_1}{x_2-x_1}   ---A

(x_1,y_1)=(1,3)

(x_2,y_2)=(2,6)

Substitute values in A

m = \frac{6-3}{2-1}

m = 3

Thus the unit rate is 3 dollars per pound.

So, It matches the box 1 (Refer the attached figure)

Equation 1 : p=3d

\frac{p}{3}=d

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m = \frac{1}{3}

Thus the unit rate is \frac{1}{3} dollars per pound

So, It matches the box 2 (Refer the attached figure)

Equation 2 : \frac{1}{3}d=3p

d=9p

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m =9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

Table 2)

p        d

1/9      1

1         9

2        18

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

(x_1,y_1)=(\frac{1}{9},1)

(x_2,y_2)=(1,9)

Substitute values in A

m = \frac{9-1}{1-\frac{1}{9}}

m = \frac{8}{frac{8}{9}}

m = 9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

3 0
4 years ago
Read 2 more answers
Cindy multiple her age by 5, subtracted 12, and then divide by 3. The result was 16. How old is Cindy?
sergejj [24]

Let's give Cindy's age a variable.

Cindy's age = x

Cindy multiplies her age by 5

x(5)

Subtracted by 12

x(5) - 12

Divide by 3

(5x - 12)/3

The result was 16

(5x - 12)/3 = 16

Let's solve

Multiply both sides by 3

(5x - 12) = 48

Open brackets

5x - 12 = 48

Add 12 to both sides

5x = 60

Divide by 5 on both sides to isolate x

x = 12

Cindy is 12 years old.

8 0
3 years ago
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