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3 years ago

10

The Smith family has three children: Tom, John, and Andy. Tom is younger than Andy. John is not older than Tom. From youngest to

oldest, how are the children ordered by age

2 answers:

blagie [28]3 years ago

5 0

Here, we have to analyse the words and ages

The first statement is "Tom is younger than Andy" means Andy is older than Tom. So first comes Andy and then Tom. Let's Rank Andy =1 and Tom = 2 with 1 assigned to the older.

Now, the next statement is "John is not older than Tom" This means John is younger than Tom. This also means Tom is older than John. So John would become the youngest and hence we assign John = 3 (meaning the youngest)

Ordering from Youngest to oldest would be John (Rank 3), Tom (Rank 2) and Andy (Rank 1)

To conclude the order from youngest to oldest would be John,Tom,Andy

LenaWriter [7]3 years ago

4 0

Andy, Tom, John
Tom is younger than Andy and John is younger than Tom

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yanalaym [24]

Answer:

1. Benny had 266 dollars to spend on 9 books. After buying them, he had 14 dollars. How much did each book cost?

The books cost $28 dollars each.

<em>how to calculate...</em>

<em> $266 - $14 = $252 </em>

<em> then take $252 divided by 9 = $ 28</em>

<em />

2. Oceanside Bike Rental Shop charges 14 dolars plus 9 dollars an hour for renting a bike. Sally paid 86 dollars to rent a bike. How many hours did she pay to have the bike checked out?

8 hours

how to calculate...

take 86 - 14 = 72

then 72 divided 9 = 8 hours

3. The sum of three consecutive numbers is 132. What is the smallest of the three numbers?

43 is the smallest of the 3 numbers

<em>calculation...</em>

<em>x + (x+1) + (x+2) = 132</em>

<em>3x + 3 = 132 -3</em>

<em>3x=129 </em>

<em>x=129/3 </em>

<em> x=43 (answer for the 1st number)</em>

<em>43+1=44 (answer for the 2nd number)</em>

<em>43+2=45 (answer for the 3rd number)</em>

add them all to make sure they equal to 132

<em>43+44+45=132 </em>

<em>132=132</em>

4. Sandy sold half of her comic books and then bought 8 more. She now has 16. How many did she begin with?

x= how many Sandy started with

<em>1/2 x + 8 = 16</em>

<em>1/2x = 16 - 8</em>

<em>1/2x = 8 * 2</em>

x = 16 comics books

Step-by-step explanation:

6 0

3 years ago

A cone-shaped container has a height of 9 in. and diameter of 2 in. It is filled with a liquid that is worth $2 per cubic inch.

ELEN [110]

Maybe it is $9.00
2 x 9 = 18
$2 per inch
18 divided by 2
$9.00?

5 0

3 years ago

Volumes of the solids with disk or shell method?

lina2011 [118]

The answer to the questions of volumes are given as follows

a) $v=128 \pi$

b) $v=\frac{128}{3} \pi$

c) $v=\frac{1024}{5} \pi$

d) $V=\frac{13568}{15} \pi$

Generally, the questions are mathematically solved below

$y=\sqrt{x}, y=4, x=0$

a) x-axis

if $y=4, x=16, x=0$

Using disk method

$} v=\pi \int_{0}^{16}(\sqrt{x})^{2} d x \\$

$v=\pi\left(\frac{x^{2}}{2}\right)_{0}^{16} \\$

$v=\frac{\pi}{2} \times 16 \times 16 \\$

$v=128 \pi$

b) line y=4

if x=0, y=0 ;

$y=\sqrt{x} \Rightarrow x=y^{2}$

Using shell method

$v = \int_{0}^{4} 2 \pi(4-y) \cdot y^{2} d y \\$

$v=2 \pi \int_{0}^{4}\left(4 y^{2}-y^{3}\right) d y$

$v=2 \pi\left[\frac{4 y^{3}}{3}-\frac{y^{4}}{4}\right]_{0}^{4} \\$

$v=\frac{2 \pi}{12}[1024-768] \\$

$v=\frac{512 \pi}{12} \\$

$v=\frac{128}{3} \pi$

c) y-axis

0 ≤ y ≤ 4

x=y^2

Using disk method

volume

$v=\pi \int_{0}^{4} y^{4} d y$$

$v=\pi\left(\frac{y 5}{5}\right)_{0}^{4} \\$

$v=\frac{1024}{5} \pi$

d) line x=-1

y=√x, y=4, x=0

0 ≤ x ≤ 6

Using shell method

volume is

$V=\int_{0}^{16} 2 \pi(1+x) \sqrt{x} d x$$

$V=2 \pi\int_{0}^{16}(x^{1 / 2}+x^{3 / 2}\right) )d x\right. \\$

$V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\$

$V=2 \pi\left[2 / 3 \cdot\left(4^{2}\right)^{3 / 2}+2 / 5\left(4^{2}\right)^{5 / 2}\right] \\$

$V=4 \pi / 3 \cdot 4^{3}+4 \pi / 5 \cdot 4^{5} \\$

$V=4 \pi\left(\frac{1}{3}+\frac{4^{2}}{5}\right)$

$V=\frac{256}{15}(5+48) \pi \\$

$V=\frac{256 \times 53}{15} \pi \\$

$V=\frac{13568}{15} \pi$

Read more about volumes

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8 0

2 years ago

there are c cyclist in a cycle race 3/4 of the cyclist finish the race how many cyclist did not finish give a algebraic formula

zimovet [89]

1/4

if 3/4 cyclists finish then that leaves 1/4 of the group that did not finish

4 0

2 years ago

Find f(g(4)).<br> f(g(4)) =

Bas_tet [7]

F(g(4)) = fg(4) = 4fg

6 0

4 years ago

Read 2 more answers