1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nutka1998 [239]
3 years ago
15

Four gallons of paint are used to paint 20 chairs and 5 small tables.if each chair and table used the same amount of paint, how

many gallons are used to paint each piece of furniture? Between what two who numbers does the answer lie?
Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

\frac{4}{25}=0.16\ \frac{gallons}{piece}

therefore

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

You might be interested in
Supposed you buy two shares of a stock worth $100. It goes up by 50% .how much did you make
alexira [117]

Answer:

The answer is $150

Step-by-step explanation:

hope that helps

Solutions: $100x.50=50

$100+$50= $150

6 0
3 years ago
Read 2 more answers
Simplify <br> x^2/3 / x^-4/3
Helga [31]
I think it would be too confusing to type but it would look like this

3 0
3 years ago
Someone help me please
Salsk061 [2.6K]

Important notes:

3 sides 1 angle - COSINE RULE

2 sides 2 angle - SINE RULE

since, the question wants to find the length of BC. In the end we will have 3 sides and 1 angle and use cosine rule

formula of cosine rule:

a² = b² + c² - 2bc Cos A° (to find the length)

Cos A° = b² + c² - a² / 2bc ( to find the angle, if there is given three sides and have to find the angle)

So just substitute,

a² = 13² + 15² - 2(13)(15) Cos 95°

a = 20.6 or 21

5 0
3 years ago
May I get some help? Thank you!​
Katen [24]

Answer:

vol. of triangular prism = lbh/2

vol. of rectangular prism = 18 of vol. of triangular prism

18x = 18 + 14x

4x = 18

x=4.5 ft

so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube

7 0
3 years ago
Read 2 more answers
A triangle is formed from the points L(-3, 6), N(3, 2) and P(1, -8). Find the equation of the following lines:
Dima020 [189]

Answer:

Part A) y=\frac{3}{4}x-\frac{1}{4}  

Part B)  y=\frac{2}{7}x-\frac{5}{7}

Part C) y=\frac{2}{7}x+\frac{8}{7}

see the attached figure to better understand the problem

Step-by-step explanation:

we have

points L(-3, 6), N(3, 2) and P(1, -8)

Part A) Find the equation of the  median from N

we Know that

The median passes through point N to midpoint segment LP

step 1

Find the midpoint segment LP

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

we have

L(-3, 6) and P(1, -8)

substitute the values

M(\frac{-3+1}{2},\frac{6-8}{2})

M(-1,-1)

step 2

Find the slope of the segment NM

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}  

we have

N(3, 2) and M(-1,-1)

substitute the values

m=\frac{-1-2}{-1-3}

m=\frac{-3}{-4}

m=\frac{3}{4}

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{3}{4}

point\ N(3, 2)

substitute

y-2=\frac{3}{4}(x-3)

step 4

Convert to slope intercept form

Isolate the variable y

y-2=\frac{3}{4}x-\frac{9}{4}

y=\frac{3}{4}x-\frac{9}{4}+2

y=\frac{3}{4}x-\frac{1}{4}  

Part B) Find the equation of the  right bisector of LP

we Know that

The right bisector is perpendicular to LP and passes through midpoint segment LP

step 1

Find the midpoint segment LP

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

we have

L(-3, 6) and P(1, -8)

substitute the values

M(\frac{-3+1}{2},\frac{6-8}{2})

M(-1,-1)

step 2

Find the slope of the segment LP

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}  

we have

L(-3, 6) and P(1, -8)

substitute the values

m=\frac{-8-6}{1+3}

m=\frac{-14}{4}

m=-\frac{14}{4}

m=-\frac{7}{2}

step 3

Find the slope of the perpendicular line to segment LP

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=-\frac{7}{2}

so

m_2=\frac{2}{7}

step 4

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{2}{7}

point\ M(-1,-1) ----> midpoint LP

substitute

y+1=\frac{2}{7}(x+1)

step 5

Convert to slope intercept form

Isolate the variable y

y+1=\frac{2}{7}x+\frac{2}{7}

y=\frac{2}{7}x+\frac{2}{7}-1

y=\frac{2}{7}x-\frac{5}{7}

Part C) Find the equation of the altitude from N

we Know that

The altitude is perpendicular to LP and passes through point N

step 1

Find the slope of the segment LP

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}  

we have

L(-3, 6) and P(1, -8)

substitute the values

m=\frac{-8-6}{1+3}

m=\frac{-14}{4}

m=-\frac{14}{4}

m=-\frac{7}{2}

step 2

Find the slope of the perpendicular line to segment LP

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=-\frac{7}{2}

so

m_2=\frac{2}{7}

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{2}{7}

point\ N(3,2)

substitute

y-2=\frac{2}{7}(x-3)

step 4

Convert to slope intercept form

Isolate the variable y

y-2=\frac{2}{7}x-\frac{6}{7}

y=\frac{2}{7}x-\frac{6}{7}+2

y=\frac{2}{7}x+\frac{8}{7}

7 0
3 years ago
Other questions:
  • How do I do this problem????
    5·1 answer
  • Eli has 8 black pens and 5 in his desk drawer. He also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters
    6·1 answer
  • The sum of two numbers is 100. Their difference is 30. Find the larger number.
    12·1 answer
  • Find the area of the figure. Round your answer to the nearest tenth.
    6·1 answer
  • Pls help its due today
    11·1 answer
  • Write an equation with a slope of -1/2 in each form.<br> point-slope form<br> slope-intercept form.
    7·1 answer
  • 50 Points! Will give brainliest!
    15·2 answers
  • HELLPPPPPPPPP I HAVE TO DO THIS BEFORE 5:30​
    10·1 answer
  • PLZZ Help!!!! Giving a lot of points!! Thank you so much!!<br><br> Find the length x.
    7·2 answers
  • What is (-1) - (-3) Pre-Algebra
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!