All categories

2 years ago

Le

1 answer:

4 0

Total age of pupils
= 12.7 x 10
= 127 years

127 - 11 - 10 - 12 - 11 - 14 - 13 - 14 - 16 = 26 ( total age of the other 2 pupils added together )

however, since the ninth pupil is two years younger,

26-2=24
24/2=12 ( age of ninth pupil )
12+2=14 ( age of tenth pupil )

thus, (a) 12 years old,
(b) 14 years old.

You might be interested in

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

1 year ago

Can someone help me with this? I need it before Monday. I will give brainlist!! If the picture is too blurry here is the problem

tigry1 [53]

Answer:

1. total volume of box=2.5(V)D

2. 7 Drawers

Step-by-step explanation:

2.5 = V

so 1 draw = 2.5 cubic inches of volume

so V(2.5) × D(number of drawers) = total volume of drawers in the box

6 0

2 years ago

charles deposited $12,000 in the bank. He withdrew $5,000 from his account after one year. If he recives a total amount of $9,34

Schach [20]

Answer:

The rate of simple interest is 9%

Step-by-step explanation:

* Lets talk about the simple interest

- The simple Interest Equation (Principal + Interest) is:

A = P(1 + rt) , Where

# A = Total amount (principal + interest)

# P = Principal amount

# I = Interest amount

# r = Rate of Interest per year in decimal r = R/100

# R = Rate of Interest per year as a percent R = r * 100

# t = Time period involved in months or years

- The rule of the simple interest is I = Prt

* lets solve the problem

- Charles deposited $12,000

∴ P = $12,000

- He withdrew $5,000 from his account after one year

- He receives a total amount of $9,340 after 3 years

∴ A = $9340 and t = 3

- Lets find the inetrest after 1 year

∵ I = Prt

∵ P = 12000

∵ t = 1

∴ I = 12000(r)(1) = 12000r

- Lets subtract the money that he withdrew

∵ He withdrew $5000

∵ He deposit at first 12000

∴ He has after the withdrew 12000 - 5000 = 7000

- The new P for the next 2 years is 7000

- This amount will take the same rate r for another two years

- The total money is $9340

∵ I = A - P

∵ A = 9340

∵ P = 7000

∴ The amount of interest = 9340 - 7000 = 2340

- The amount of interest after 3 years is 2340

- Lets find the amount of interest in the two years

∴ I = 7000(r × 2) = 14000r

- The amount of interest after the 3 years is the sum of the interest in

the 1st year and the other 2 years

∴ 2340 = 14000r + 12000r

∴ 2340 = 26000r ⇒ divide both sides bu 2340

∴ r = 2340 ÷ 26000 = 0.09

∵ The rate R in percentage = r × 100

∴ R = 0.09 × 100 = 9%

∴ The rate of simple interest is 9%

8 0

2 years ago

Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents t

Andrews [41]

Answer:

8b and 80

Step-by-step explanation:

6 0

3 years ago

The replica of the Empire State Building with its antenna spire in Las Vegas is

postnew [5]

Answer: $\frac{485}{ 1,454}$

Step-by-step explanation:

For this exercuse you need to analize the information provided. You know that:

1) The height of the replica of the Empire State Building with its antenna spire in Las Vegas is 485 feet.

2) The height of the real Empire State building is 1,454 feet.

Finally, in order to find the ratio of height of the replica to the height of the real Empire State building, its necessary to divide the height of the replica of the Empire State Building by the height of the real Empire State building.

Therefore, trough this procedure you get that the ratio of height of the replica to the height of the real Empire State building is:

$ratio=\frac{heigth_{ replica}}{heigth_{real}}=\frac{485}{ 1,454}$

(This fraction cannot be reduced)

3 0

2 years ago