Identify each sequence as arithmetic, geometric, both, or neither.

A certain solution of salt water is 10% salt and weighs 50 pounds. more salt must be added to produce a solution that is 25% sal

Semenov [28]

Answer

7.5 pounds

Step-by-step explanation:

Since adding x grams of salt will bring th percentage of the salt to 25

Hence. 10% of the 50 gram gives. 5 gram initial salt before it is added.

5+ x/ 50 * 100= 25/

5+x /50 = 0.25

5+x = 12.5

X= 12.5- 5

X= 7.5pounds

8 0

3 years ago

Gianna put $1000 in a savings account for 18 months, The interest on the account is 3.5%. How much will Gianna earn in interest?

zimovet [89]

Answer:

amount of interest = 52.5

amount at the end of the period = 1052.5

Step-by-step explanation:

use the formula for simple interest

PRT/100

P is the principle

R is the rate of interest charged

T is the Time taken

18 months = 1 years 6 months ( 1.5 years)

1000 * 3.5 * 1.5 = 5250

5250/100 = 52.5

the amount of interest = <u>52.5</u>

the amount she will have at the end of the period

= 1000 +52.5

= <u>1052.5</u>

8 0

3 years ago

12 meters in 28 seconds as a unit rate

blondinia [14]

You divide and get 3/7 meters per second

6 0

3 years ago

A tank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. The tank is full

german

Answer:

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius = 4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out = $\frac{1}{3} \pi R^2 h-\frac{1}{3} \pi r^2 h'$

Here we have r/h is constant always

Hence $\frac{r}{h'} =\frac{R}{h} \\r=Rh'/h = 4(5)/10 = 2$

Substitute to get volume of water pumped out = $\frac{1}{3} \pi (10*16-4*5)=\frac{140\pi}{3}$

Mass of water = density x volume = $62.4(\frac{140\pi}{3})\\= 2912\pi lbs$

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

W=2912(32.2)(5)\pi =468832\pi foot -pound

6 0

3 years ago

A bookstore makes a profit of $2.50 on each book they sell, and $0.75 on each magazine they sell. One week, the store sold x boo

marin [14]

Answer:

Total books sold=146 books

Total magazines sold=114 magazines

Step-by-step explanation:

Equation 1

Total weekly profit=(Profit for each magazine sold×Number of magazines sold)+(Profit for each book sold×Number of books sold)

where;

Total weekly profit=$450

Profit from each magazine sold=$0.75

Number of magazines sold=y

profit from each book sold=$2.50

Number of books sold=x

Replacing;

450=(0.75×y)+(2.5×x)

0.75y+2.5x=450..... Equation 1

Equation 2

Total number of publications sold=Total number of books sold+Total number of magazines sold

where;

Total number of publications sold=260

Total number of books sold=x

Total number of magazines sold=y

x+y=260... Equation 2

Combine equation 1 and 2 and solve;

1(2.5x+0.75y=450)>>>>>>>>2.5x+0.75y=450

2.5(x+y=260) >>>>>>>>2.5x+2.5y=650

Subtract equation 1 from 2

(2.5x-2.5x)+(2.5y-0.75y)=(650-450)

1.75y=200

y=200/1.75

y=114

Replacing the value for y in equation 2

x+114=260

x=260-114=146

Total books sold=146 books

Total magazines sold=114 magazines

8 0

3 years ago