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3 years ago

Ben is 4 times as old as Izzy and is also 6 years older than Izzy. How old is Izzy

Mathematics

1 answer:

Arlecino [84]3 years ago

6 0

Answer:

2 years

Step-by-step explanation:

Let B = age on Ben

and age of Izzy =I

B =4I

B = 6+I

Gives 6+I = 4I

6 = 3I

I =2 years and B = 4x2 = 8years

Age of Izzy = 2 years

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The height of a tree trunk is 20 meters and the base diameter is 0.5 meter.

Temka [501]

Question a:

Mass = Density × Volume
Density = Mass/Volume

Volume of the tree trunk (the shape of Cylinder) = Area of circular base × height
Volume = [πr²] × h
Volume = [π × 0.25²] × 20
Volume = 3.93 m³

Density = 380 kg/m³

Mass = Density × Volume
Mass = 380 × 3.93
Mass = 1493.4 kg

------------------------------------------------------------------------------------------------------------

Question b)

The growth ring = 4 millimeters = 4÷1000 = 0.004
New diameter = 0.5 + 0.004 = 0.5004
New height = 20 + 0.2 = 20.2

New volume = [πr²] × h
New volume = [π × 0.2502²] × 20.2
New volume = 3.97 m³

5 0

3 years ago

Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro

Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

Oliver = 3x + 75

Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

3x + 75 = x + 105

Solve for x

3x - x = 105 - 75

2x = 30

x = 30/2

x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0

3 years ago

Read 2 more answers

Solve the inequality x+1<3/4 and write the solution in interval notation.

Darya [45]

The solution to the inequality in interval form is (-∞, -1/4)

<h3>Inequality expressions</h3>

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

x < (3-4)/4

x < -1/4

Hence the solution to the inequality in interval form is (-∞, -1/4)

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

3 0

1 year ago

Can I get the answers for number 14 plz?

nataly862011 [7]

A.
-1:
$2(2)^{-1} \\ 2( \frac{1}{2}) \\ \frac{2}{2} \\ 1$
(-1,1)

0:
$2(2)^{0} \\ 2(1) \\ 2$
(0, 2)

1:
$2(2)^{1} \\ 2(2) \\ 4$
(1, 4)

2:
$2(2)^{2} \\ 2(4) \\ 8$
(2, 8)

3:
$2(2) ^{3} \\ 2(8) \\ 16$
(3,16)

b.
To graph the equation, simply go through the points (-2, 0.5), (-1, 1), (0,2), (1,4), (2,8), and (3,16). Make sure you never go below 0 on the x-axis, because there's an asymptote there.

Hope this helps!

8 0

2 years ago

Read 2 more answers

What is the sum of the first 7 terms of the series −4+8−16+32−... ?

pochemuha

we have that

−4+8−16+32−.....

a1=-2*(-2)-----> -4

a2=-4*(-2)-----> +8

a3=+8*(-2)-----> -16

a4=-16*(-2)----> +32

a5=+32*(-2)----> -64

a6=-64*(-2)-----> +128

a7=+128*(-2)-----> -256

The sum of the first 7 terms of the series is

<span>
the answer is -172</span>

4 0

2 years ago