Ask question

Ask question

All categories

3 years ago

15

A hot air balloon can hold u to 300 pounds of weight the balloons pilot weighs 140 pounds how many 20 pound bags of sand b can h

old in a hot air balloon

1 answer:

Mashcka [7]3 years ago

3 0

You can have 8, 20lb bags of sand plus the balloon pilot

You might be interested in

Use the net to find the surface area of the cylinder

densk [106]

Answer:

D) 120pi yd2

Step-by-step explanation:

7 0

3 years ago

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

<u>Answer:</u>

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

<u>Solution: </u>

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago

The mean length of 6 childrens' big finger is 6.7cm.

yaroslaw [1]

Answer:

New mean length of these 17 people=11.62

Step-by-step explanation:

<em>Step 1: Determine the total length of children's fingers</em>

L=l×n

where;

L=total length (cm)

l=mean length (cm)

n=number of children

replacing;

L=6.7×6=40.2 cm

The total children's fingers length=40.2 cm

<em>Step 2: Determine the total length of adults fingers</em>

total length of adults fingers=mean length of adults fingers×number of adults

where;

mean length of adults=14.3

number of adults=11

replacing;

total length of adults fingers=(14.3×11)=157.3 cm

<em>Step 3: Determine the new mean length</em>

new mean length=total length of adults and children fingers/number of adults and children

where;

total length of adults and children fingers=157.3+40.2=197.5 cm

number of adults and children=11+6=17

replacing;

new mean length=197.5/17=11.62

7 0

3 years ago

The pair of values below is from a direct variation. Find the missing number.

NISA [10]

Answer:

The answer is 2.

2 since 6/4=3/2

Step-by-step explanation:

Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)

If y=kx then y/x=k.

So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.

So we are going to solve this proportion:

$\frac{6}{4}=\farc{3}{x}$

Again I put y/x from each point. They should have same ratio because this is a direct variation.

Cross multiply:

$6(x)=4(3)$

$6x=12$

Divide boht sides by 6:

$x=\frac{12}{6}$

$x=2$

6 0

3 years ago

Read 2 more answers

Select the works written by Augustine of Hippo.

Alex73 [517]

Answer:

Consolation of Philosopy..

5 0

3 years ago