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3 years ago

The life spans, in years, of some plants in a nursery are shown below:

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

7 0

Jack incorrect plotted the third quartile.

Explanation:

horrorfan [7]3 years ago

4 0

Answer:

Answer= D

Step-by-step explanation:

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Find the ages of the people and tree

Harlamova29_29 [7]

Answer:

1. Callum = 2; Eilidh = 17; Caitlin's =22.

2. Ewan = 44; tree = 308.

Explanation:

Q1. Callum, Eilidh, and Caitlin

Let x = Callum's age

y = Eilidh's age

z = Caitlin's age

We have three conditions.

(1) x = y - 5

(2) z = y + 15

(3) x + y + z = 31

Step 1. Eliminate one of the variables in two of the equations

Subtract (1) from (2): z - x = 20

Rearrange: (4) -x + z = 20

Solve (2) for y: (5) y = z - 15

Substitute into (3): x + z - 15 + z = 31

(6) x + 2z = 46

Step 2. Set up two new equations in two variables

(5) -x + z = 20

(6) x + 2z = 46

Add (5) and (6): 3z = 66

Divide each side by 2: z = 22

Step 3. Substitute z into (5)

-x + 22 = 20

x = 2

Step 4. Substitute x into (1)

2 = y - 5

Add 5 to each side y = 7

Callum's age is 2; Eilidh's age is 7; Caitlin's age is 22.

Q2. Ewan and the tree

Let x = Ewan's age

y = tree's age

We have two conditions.

(1) y = 7x

(2) x + y = 352

Rearrange (1) (3) -7x + y = 0

(2) x + y = 352

Subtract (3) from (2) 8x = 352

Divide each side by 8 x = 44

Substitute y into (1) y = 7 × 44

y = 308

Ewan's age is 44; the tree's age is 308.

5 0

3 years ago

What’s 3x+6y=12 in the form y=mx+b

zhenek [66]

Hey there!

3x+6y=12

Divide both sides by 3 and your equation would now look like:
x+2y= 4
Move the x to the other side
2y= -x+4
Seprate the y by dividing both sides by 2
y= $\frac{1}{2}$ x+2

4 0

3 years ago

Read 2 more answers

Based on trend line what is the GDP prediction to be in the year 2018

Crank

Is there a picture for this

4 0

3 years ago

Using the expression you found in part a, how many minutes will it take to make and pack an order for 15 parts? Show your work.

Sphinxa [80]

Answer:

2x + 10

= 2(15) + 10

= 30 + 10

= 40

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.? Use π=3.14 an

Alex_Xolod [135]

Answer:

The volume of a right circular cone is $31400\ \text{feet}^3$ .

Step-by-step explanation:

The circumference of the base of a right circular cone is 125.6 ft.

Height of cone is 75 ft.

Circumference of base is :

$C=2\pi r$ , r is radius

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{125.6}{2\times 3.14}\\\\r=20\ ft$

The volume of a cone is given by :

$V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (20)^2\times 75\\\\V=31400\ \text{feet}^3$

So, the volume of a right circular cone is $31400\ \text{feet}^3$ .

5 0

3 years ago