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3 years ago

Suppose x + y = 13 and the value of x increases by 4. If their sim remain the same, what must happen to the value of y?

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

6 0

The value of y would decrease if x increases and the sum stays the same.

Ivahew [28]3 years ago

4 0

If the value of x increases by 4 and the sum is constant or the same, the value of y will decrease. Ex: if x=1 increase by 4 so, 5+y=13 then y=8,if x increase by 4, 9+y=13, then y=4.

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A 24.6 g marble sliding to the right at 62.0 cm/s overtakes and collides elastically with a 12.3 g marble moving in the same dir

Softa [21]

Answer:

Velocity of the 24.6 g marble is 31 cm/s.

Step-by-step explanation:

Given:

Marble 1:

Mass of the marble $(m_1)$ = 12.3 gm

Velocity of $m_1$ before collision $v_1_i$ = 15.5 cm/s

Velocity of $m_1$ after collision $v_1_f$ = 77.5 cm/s

Marble 2:

Mass of the marble $(m_2)$ = 24.6 gm

Velocity of $m_2$ before collision $v_2_i$ = 62 cm/s

Velocity of $m_2$ after collision $v_2_f$ = ?

From the law of conservation of momentum, we know that momentum before equals the momentum after :

So,

⇒ $P(i)=P(f)$

⇒ $(m_1\times v_1_i )+(m_2\times v_2_i) =(m_1\times v_1_f)+(m_2\times v_2_f)$

⇒ Plugging the values.

⇒ $(12.3\times 15.5) +(24.6\times 62)=(12.3\times 77.5)+(24.6\times v_2_f)$

⇒ $190.65+1525.2=953.25+24.6\times v_2_f$

⇒ $1715.85=953.25+24.6\times v_2_f$

⇒ $1715.85-953.25=24.6\times v_2_f$ ...subtracting both sides 953.25

⇒ $762.6=24.6\times v_2_f$

⇒ $\frac{762.6}{24.6}\ =v_2_f$ ...dividing both sides with 24.6

⇒ $31=v_2_f$

⇒ $v_2_f =31$ cm/s

The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.

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2 years ago

4. Draw two slope triangles on the line. Determine the slope of the line.

Georgia [21]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

9 mugs for $45 What is the rate? And what is the unit rate?

andrew-mc [135]

Answer: The unit rate is $5 per mug.

Step-by-step explanation:

To find the the unit rate, you will find the amount one mug will cost.

If there are 9 mugs then to get it to one, you will have to divide 9 by 9, and the same way you will have to divide 45 by 9.

45 / 9 = 5

6 0

2 years ago

Could someone help!? I’ll try and give out brainliest!

ratelena [41]

Answer: What is the question that you need help with.

Step-by-step explanation:

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2 years ago

Find the area of this isosceles trapezoid. A) 85.5 units2 B) 171 units2 C) 342 units? 345 units?

liubo4ka [24]

9514 1404 393

Answer:

B) 171 units^2

Step-by-step explanation:

The area is given by the formula ...

A = 1/2(b1 +b2)h

Filling in the given base and height values, we find the area to be ...

A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units

_____

Additional comment

You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.

Multiplication by 9 is not so hard. It is multiplication by 10-1:

15×9 = 15×(10 -1) = 150 -15 = 135

3 0

2 years ago