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3 years ago

A shipping company charges an oversize package fee if the sum of the

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

8 0

Answer: Length = 40 inches

Width = 20 inches

Step-by-step explanation:

Let the width of the package be represented by x.

Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x

Since the sum of the dimensions equals 60 inches. This will then be:

x + 2x = 60.

3x = 60

x = 60/3

x = 20

Therefore, the width = 20 inches

Length = 2x = 2 × 20 = 40 inches

The dimensions should be 40 by 20 inches.

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There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of number o

lubasha [3.4K]

Answer:

Lonnie is not correct

Step-by-step explanation:

4 0

3 years ago

The number of people playing a new phone app game triples every month. When the app first launched, 800 people started playing t

NeTakaya

Answer:

$a_t=ar^{t-1}$

t=6 months

Step-by-step explanation:

We are given that the number of people playing a new phone app game triples every month

When the app first launch , the number of people started playing the game right away=800

According to question

The number of peoples are currently playing the game=194,400

We solve by using the formula of geometric series because we get a geometric series pattern

The number of people playing the game when app game launch=800

The number of people playing game after one month=2400

800,2400,7200,........,194,400

$a_1=800,a_2=2400,a_3=7200,a_t=194,400$

We are finding common ratio

$\frac{a_2}{a_1}=\frac{2400}{800}=3$

$\frac{a_3}{a_2}=\frac{7200}{2400}=3$

Hence, the common ratio is 3 therefor nth term of G.P

$a_t=ar^{t-1}$

a=800,r=3, $a_t=194,400$

Substitute the values then we get

$194,400=800(3)^{t-1}$

$\frac[194400}{800}=(3)^{t-1}$

$243=3^{t-1}$

$3^5=3^{t-1}$

When base are same on both side then the power are equals

Therefore, t-1=5

t=5+1=6

Hence, when there are 194,400 people currently playing the game then

the number of months ,t=6 that have passed since the app launched.

7 0

3 years ago

PLEASE HELP ASAP 30 PTS

Marrrta [24]

Answer:

c (2,3,-2)

Step-by-step explanation:

3x+y+z = 7

x+3y-z =13

y = 2x-1

Add the first two equations together to eliminate z

3x+y+z = 7

x+3y-z =13

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

4x+4y = 20

Divide by 4

4x/4 + 4y/4 = 20/4

x+y = 5

We know y = 2x-1. substitute this into the equation

x+ (2x-1) = 5

Combine like terms

3x-1 =5

Add 1 to each side

3x-1+1 =5+1

3x=6

Divide by 3

3x/3 = 6/3

x=2

Now we can find y

y = 2x-1

y = 2(2)-1

y =4-1

y= 3

We know x and y, now we need to find z

3x+y+z = 7

3(2) +3 +z = 7

6+3+z =7

9+z=7

Subtract 9 from each side

(-9+z =7-9

z=-2

So x=2,y=3 =-2

(2,3,-2)

7 0

3 years ago

Find the answer of (x⁴)-ᵌ is equal to

Eva8 [605]

Answer:

x^-12

Step-by-step explanation:

(x^4)^-3 = x^ 4*-3 = x^-12

3 0

3 years ago

Read 2 more answers

Sarah is collecting recyclables for a science project. on the first day she collects 35 recyclable objects. on the second day sh

Svet_ta [14]

The scneario here expressed is an aritmetic sequence because it can be explained like this:

a1=35
an=an−1+17

So all the variables can fit in and will be better explained than a geometric sequence in which you need a common ratio and that is not needed in this case

4 0

3 years ago

Read 2 more answers