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ikadub [295]
3 years ago
10

Which ordered pair is a solution for 3x + 4y < 12?

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0

Answer:

D, (1,2)

Step-by-step explanation:

It all comes down to substitution. In this case the coefficient of x is 3 and the coefficient of y is 4. The format of these coordinates being (x,y).

1. Plug in your x value (1 in this circumstance) and solve:

3(1) + 4y < 12

3 + 4y < 12

2. Plug in your y value (2 in this circumstance) and solve:

3 + 4(2) < 12

3 + 8 < 12

3. Solve

3 + 8 = 11

11 < 12

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Amanda teaches all of the bass and viola students. All of her classes have the same number of students. Each class has the great
alexandr402 [8]

Answer:

5 classes - 2 bass classes and 3 viola classes.

Step-by-step explanation:

Find the greatest common factor (GCF)

List the factors of 20 and 30:

20: 1, 2, 4, 5, 10, 20

30: 1, 2, 3, 5, 6, 10, 15, 30

The greatest factor that both numbers share is 10.

Therefore, there are 10 students in each class. So, she teaches 2 bass classes and 3 violas classes.

hope this helps! <3

6 0
2 years ago
River C is 400 miles longer than River D. If the sum of their lengths is 5 comma 520 ​miles, what is the length of each​ river?
Viefleur [7K]
If the sum of their lengths is 5,520 miles then River D is 2360 and River C is 3160
4 0
4 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
astra-53 [7]

\sqrt{5}
5 0
3 years ago
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
snow_lady [41]

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

7 0
3 years ago
Help please. Im confused on what to do.
Paraphin [41]

Answer:

add up all the sides!!

6+3+3+3+5+12+4+6=38

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4 0
3 years ago
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