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Sergio [31]
3 years ago
11

Ruth has 7 more brown pencils than blue pencils, and 11 more blue pencils than red pencils. She has 5 red pencils. How many brow

n, blue, and red pencils does Ruth have in all?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer: There are 5 red pencils, 16 blue pencils and 23 brown pencils.

Step-by-step explanation:

Since we have given that

Number of red pencils = 5

Number of blue pencils are 11 more than red pencils.

So, Number of blue pencils would be

11+5=16

Number of brown pencils are 7 more than blue pencils.

So, number of brown pencils would be

16+7=23

Hence, there are 5 red pencils, 16 blue pencils and 23 brown pencils.

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A volleyball has a surface area of 1 465cm^2 Calculate the volume of five volleyballs. Round your answer to the nearest THOUSAND
Dmitriy789 [7]

The volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

<h3>What is a sphere?</h3>

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

We know the surface area of the sphere is given by:

SA = 4πr²

1465 = 4πr²

r = 10.79 cm

Volume of the sphere = 4πr³/3

V = 4π(10.79)³/3

V = 5262.03 cubic cm

Volume of five volleyballs = 5×5262.03 = 26310.15 cubic cm

Thus, the volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

Learn more about the sphere here:

brainly.com/question/11374994

#SPJ1

8 0
2 years ago
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
Natasha_Volkova [10]

Answer:

The total in the account after 10 years would be: $14,190.68

Step-by-step explanation:

Recall the formula for continuous compounding:

A=P\,e^{r\,t}

where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:

A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68

Therefore the total in the account after 10 years would be: $14,190.68

5 0
3 years ago
Blake's pool can hold 2.539 gal of water when full. If it takes 9 hours to fill the empty pool. How much water will be in the po
Dovator [93]

Answer:

0.2821 gal

Step-by-step explanation:

Since this is a direct and proportional relationship, we know that the ratio for 2.539 gal of water to 9 hours is the same as the ratio from the water in the pool after 1 hour to 1 hour. Therefore, we can simplify 2.539:9 into 0.2821111... I’m not sure what value you must round to, so I’ll assume it is to the nearest thousandth. Hence, our answer is 0.2821 gal.

I hope this helps! :)

5 0
3 years ago
The sum of three numbers is 2. the first number minus the second plus the third is negative 2−2. the first minus the third is 22
iogann1982 [59]

x is the 1st number, y is the 2nd number, z is the 3d number.

x+y+z = 2

x - y + z= -2

x - z = y +22 -----> x-y-z=22


x+y+z = 2

<u>x - y + z= -2</u>

2x + 2z =0

x + z = 0

x = -z


x - y + z= -2 and x = -z

-z - y + z = -2, y =2


x-y-z=22 and x = -z, and y = 2 -----> x -2 +x = 22 --->2x = 24 ----> x = 12

x= -z -----> z = - 12


7 0
3 years ago
An ant on the ground is 22 feet from the foot of a tree. She looks up at a bird at the top of the tree, and her line of sight ma
Nezavi [6.7K]
An ant on the ground is 22 feet from the foot of a tree. She looks up at a bird at the top of the tree, and her line of sight makes 30 degrees with the ground. How far is she from the top of the tree? (Hint: Find x.)

33.6 feet
6 0
3 years ago
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