What is 3 square root 18

Fatima brought $19.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as t

ZanzabumX [31]

Answer:

The brush cost $1.75, the sketchbook cost $5.25 and the paint set cost $10.5

Step-by-step explanation:

Fatima brought $19.50 to the art supply store which she used to buy a brush, a sketchbook, and a paint set.

After buying them, she had $2.00 left over.

Let the cost of the brush be b.

Let the cost of the sketchbook be s.

Let the cost of the paint set be p.

This means that:

b + s + p + 2 = 19.5 __________(1)

The brush was 1/3 as much as the sketchbook:

b = 1/3 * s = s/3 ______ (2)

The sketchbook cost 1/2 the cost of the paint set:

s = 1/2 * p

=> p = 2s________(3)

Putting (2) and (3) in (1):

s/3 + s + 2s + 2 = 19.5

=> 10s/3 = 19.5 - 2

10s/3 = 17.5

10s = 17.5 * 3

10s = 52.5

s = $5.25

Putting this back in (2)

b = 5.25 / 3 = $1.75

Putting the value of a back in (3)

p = 2 * 5.25 = $10.5

Therefore, the brush cost $1.75, the sketchbook cost $5.25 and the paint set cost $10.5

3 0

3 years ago

Deon does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least

LenKa [72]

Answer:

see attached

Step-by-step explanation:

The line at the lower left of the shaded region is x+y=12. The shaded area is above that line because is represents a minimum amount of exercise.

7 0

3 years ago

Use the following information for the question below: You conduct a clinical trial to test whether a new drug relieves the sympt

gladu [14]

Answer:

The independent variable is the dose of the drug given to each participant.

Step-by-step explanation:

In the current experiment each patient's initial level of pain is going to be the <em>initial condition </em>for the experiment. We're going to measure the final level of pain and we'll try to find any correlation between the variation in the level of pain and the number of milligrams of the drug given to each patient, so that last one (the dose of the drug) is the independent variable because is the one variable that we're going to modify in order to see the effect that it has in the final measurement.

6 0

3 years ago

Please right no link or bot

Leya [2.2K]

Answer:

36

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how mu

scoray [572]

Answer:

Sarah would take 35 minutes longer than Leo to type 5500 word essay

Step-by-step explanation:

Let us solve the question

∵ It took Leo 3 hours to type a 4125-word essay

→ The rate is the number of words divided by the time

∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour

∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes

→ Change the 10 min to the hour by divide it by 60

∵ 3 hours 10 min = 3 + $\frac{10}{60}$ = 3 + $\frac{1}{6}$ = 3 $\frac{1}{6}$ hours

∴ Sarah's rate = 3800 ÷ 3 $\frac{1}{6}$ = 1200 words/hour

∵ Leo will type a 5500-word essay

→ Divide it by his rate to find the time taken

∴ Leo takes = 5500 ÷ 1375 = 4 hours

∵ Sarah will type a 5500-word essay

→ Divide it by her rate to find the time taken

∴ Sarah takes = 5500 ÷ 1200 = 4 $\frac{7}{12}$ hours

→ Find the difference between their times

∵ The difference = 4 $\frac{7}{12}$ - 4 = $\frac{7}{12}$ hour

→ Multiply it by 60 to change to minutes

∴ The difference = $\frac{7}{12}$ × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay

3 0

2 years ago