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3 years ago

Translate the sentence into an inequality.

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

The appropriate inequality would be 4x + 19 ≤ -26

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The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length

Sidana [21]

Answer:

length = 20 mt

Width = 16 mt

Step-by-step explanation:

Let the length of the field be x

width of the field be y

Hence formula of the perimeter is given as

P=2(x+y)

P=72(given)

72=2(x+y)

Dividing both sides by 2 we get

x+y=36---(A)

Also given that width of the parallelogram is 4 meters less than its length

Hence

y=x-4

or x-y=4 ---(B)

Adding A and B

2x=40

x=20

y=x-4

y=20-4=16

Hence length = 20 mt

Width = 16 mt

3 0

4 years ago

Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week f

RUDIKE [14]

Answer:

Week Mass (gram)

(start) 80

1 88

2 96.8

3 106.48

4 117.128

Step-by-step explanation:

From the question we are told that

The mass of the kitten at the start week is m = 80 g

The rate at which the kitten grows is r = 0.10

Generally the mass of the kitten at the first week is mathematically represented as

$m_1 = ( r * m) + m$

=> $m_1 = ( 0.10 * 80 ) + 80$

=> $m_1 = 88 \ g$

Generally the mass of the kitten at the second week is mathematically represented as

$m_2 = ( r * m_1) + m_1$

=> $m_2 = ( 0.10 * 88 ) + 88$

=> $m_2 = 96.8 \ g$

Generally the mass of the kitten at the third week is mathematically represented as

$m_3 = ( r * m_2) + m_2$

=> $m_3 = ( 0.10 * 96.8) + 96.8$

=> $m_3 = 106.48 \ g$

Generally the mass of the kitten at the fourth week is mathematically represented as

$m_4 = ( r * m_3) + m_2$

=> $m_4 = ( 0.10 * 106.48) + 106.48$

=> $m_4 = 117.128 \ g$

Week Mass (gram)

(start) 80

1 88

2 96.8

3 106.48

4 117.128

3 0

4 years ago

Peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.

melomori [17]

Answer:

Step-by-step explanation:

Let J = John's share ($)

P = Peter's share ($)

H = Henry's share ($)

1) H = P + 80

2) J/P = 6/3 = 2

3) P/H = 3/5

Substitute equation 1) into equation 3)

P/(P + 80) = 3/5 (multiply both sides by (P + 80)

P = (3/5)*(P + 80) (multiply both sides by 5)

5*P = 3*P + 240

2*P = 240

P = 240/2 = $120

Substitute P value into equation 2)

J/P = 2 or

J = 2*P = 2*$120 = $240

John received $240

7 0

4 years ago

Read 2 more answers

SM=3x−4, and RN=9x−20. Find the value of x

Rudik [331]

Answer:

Option (A).

Step-by-step explanation:

Given question is incomplete; find the complete question with the attachment.

In the triangle NRL,

Points P, S and M are the midpoints of the sides NR, RL and LN respectively.

Sides SM = (3x - 4), NR = (9x - 20)

By the theorem of midpoints in a triangle,

SM = $\frac{1}{2}\text{NR}$

(3x - 4) = $\frac{1}{2}(9x-20)$

6x - 8 = 9x - 20

9x - 6x = 20 - 8

3x = 12

x = 4

Therefore, Option (A) will be the answer.

8 0

3 years ago

Which equation matches the graph A.y=2x+3 B.y=-2x+3 C.y=-4x+2 D.y=4x+2

Dmitrij [34]

The correct answer is A

8 0

3 years ago