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3 years ago

A tree in leilas backyard has been growing for 3 1/5 years. It is 3/4 meters tall how many meters per year?

Mathematics

1 answer:

IgorC [24]3 years ago

4 0

Answer:

The tree grew 15/64 meters per year.

Step-by-step explanation:

Given

Length of a tree = 3/4 meters

Total time taken by the tree to grow 3/4 taller = 3 1/5 or 16/5 years

To determine

Per year growth of the tree in meters

Per year growth of the tree in meters can be determined by dividing the total length of a tree i.e. 3/4 meters by the total time taken by the tree to get 3/4 taller.

Per year growth of tree = Total Length / Total time to grow

= 3/4 ÷ 16/5

= 3/4 × 5/16

= [3×5] / [4×16]

= 15/64 meters

Therefore, the tree grew 15/64 meters per year.

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A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the

Serga [27]

Answer:

Number of high quality version downloads = 880

Step-by-step explanation:

Let,

x be the number of standard version songs downloaded

y be the number of high quality version songs downloaded

According to given statement,

x+y=1600 Eqn 1

2.8x+4.1y=5624 Eqn 2

Multiplying Eqn 1 by 2.8 to eliminate x

2.8(x+y=1600)

2.8x+2.8y=4480 Eqn 3

Subtracting Eqn 3 from Eqn 2

(2.8x+4.1y)-(2.8x+2.8y)=5624-4480

2.8x+4.1y-2.8x-2.8y=1144

1.3y=1144

Dividing both sides by 1.3

$\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880$

Hence,

Number of high quality version downloads = 880

3 0

3 years ago

3. Find f[h(a+4)], given the functions below. *

mote1985 [20]

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

$f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8$

h(a+4)

This function is:

$h(a+4) = (a+4)^2 + 6(a + 4) + 8$

$h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8$

$h(a+4) = a^2 + 14a + 48$

f[h(a+4)]

$f(x) = 5x$

Thus

$f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240$

The correct answer is given by option C.

8 0

3 years ago

The sum of 4 times a number and 15 is 47. Find the number.

Bezzdna [24]

Answer:

The number is 8.

Step-by-step explanation:

Write an equation then solve by isolating the variable.

let x be the number

4x + 15 = 47 Subtract 15 from both sides

4x = 47 - 15

4x = 32 Divide both sides by 4

x = 32/4

x = 8

Therefore the number is 8.

7 0

3 years ago

Read 2 more answers

Harold wants to make a tomato patch. It will have 7 long rows of plants, each with 8 plants in the row, and 3 short rows of plan

xz_007 [3.2K]

Answer:

Pt. 1: D

Pt. 2: what are the options for part 2?

Step-by-step explanation:

8 0

3 years ago

Solve the equation, if possible.<br> 1. 2x + 2(4x - 2) + 3x = x + 3(x – 8) + 4x

MAXImum [283]

Answer:

x=-4

Step-by-step explanation:

Distribute and expand everything in brackets.

2x+2*4x+2*-2+3x=x+3*x+3*-8+4x

2x+8x-4+3x=x+3x-24+4x

Solve like terms

13x-4=8x-24

Place like terms on same side.

13x-8x=-24+4

Solve for x

5x=-20

x=-4

5 0

3 years ago