Martin uses 8 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?

Answers

Answer 1

Answer: 32/345 wall per gallon

Step-by-step explanation:

Rate is defined as ratio between two quantities with different units.

Gallons of paint used by Martin = 8 5/8 gallons = 69/8 gallons

Portion of wall Martin wishes to pint = 4/5 wall

Rate at which Martin paints the wall:

= Portion of wall covered / paint used

=

4/5 / 69/8 = 32/345 wall per gallon

Answer 2

Answer:

Martin paints 0.093 walls per gallon of paint

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Amount of paint used by Martin = 8 5/8 of a gallon

Ratio of wall painted by Martin with 8 5/8 of a gallon = 4/5

2. What is the unit rate at which Martin paints in walls per gallon?

Let's convert the mixed fractions to decimals this way:

8 5/8 = 8 + 0.625 = 8.625

4/5 = 0.8

Now, let's use the Direct Rule of Three, this way:

Gallons                      Walls

8.625                          0.8

x                                   1

Solving for x :

0.8x = 8.625 * 1

x = 8.625/0.8

x = 10.78125

x = 10.8 (rounding to next tenth) gallons

For painting a wall, we will use 10.8 gallons of paint. Now, we can calculate the unit rate at which Martin paints in walls per gallon, this way:

Gallons                      Walls

10.8                               1

 1                                  x

Solving for x :

10.8x = 1

x = 1/10.8

x = 0.09259

x = 0.093 (rounding to the next hundredth) walls per gallon of paint


Related Questions

20 – 2p>-2(p + 2) + 4p

Answers

Answer:

i just kinda need points rn

Step-by-step explanation:

Answer:

p<6

Step-by-step explanation:

Step 1: write it out: 20-2p>-2(p+2)+4p

Step 2: use distributive property: 20-2p>-2p-4+4p

Step 3: combine like terms: 20-2p>2p-4

Step 4: add 2p to both sides: 20>4p-4

Step 5: add 4 to both sides: 24>4p

Step 6: divide both sides by 4: 6>p or p<6

anyone knows this? thanks

Answers

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

What is the volume of the following rectangular prism?

Answers

Answer:

Step-by-step explanation:

The formula is V= w h l

So it’s be V= 16 1/4 x 1/2

V= 16.25 x .50

V= 8.125

V=8

f(x) = 28 + 10x²; solve for f(1) and f(27)

Answers

Answer:

f(x) = 28 + 10x²

For f(1) substitute 1 into f(x)

That's

f(1) = 28 + 10(1)²

= 28 + 10

= 38

f(27) = 28 + 10(27)²

= 28 + 7290

= 7318

Hope this helps you

Which of the following equations would not be a line when graphed? Explain how you can tell by just looking at the equations.

Answers

Answer:

Step-by-step explanation:

In my opinion, I beleive it's y=9 becasue the rest of the equations have x in them. bth, this is me just by looking at the equation.

it would be y=7/x, because this would actually graph more of a curve. The 2nd and 3rd option both follow the linear equation while the first would be a horizontal line running through y=9

Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28

Answers

Answer:

facil es la D

Step-by-step explanation:

10+6+12 igual a 28

y nada mas ahi que decir el numero de rosas amarillas que es este caso son

6

Respuesta 6:28

Answer:

D. 6:28

Step-by-step explanation:

The total number of flower in bouquet is

=6+10+12

=28

The ratio of number of yellow roses to the total number of roses is 6:28

AssAssessment captures blank growth

Answers

What do you mean by this

Simplify 27^2. _______ a0 Simplify 13^2. _______ a0

Answers

Answer:

Step-by-step explanation:

27^2 = 729

13^2 =169

Answer:

1) [tex]\boxed{729}[/tex]

2) [tex]\boxed{169}[/tex]

Step-by-step explanation:

1) 27²

This means 27 is being multiplied 2 times.

So,

=> 27*27

=> 729

2) 13²

This means 13 is being multiplied 2 times

So,

13*13

=> 169

What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM?

Answers

Answer:

Won't they be on the same place, so 360° i think

Answer:

10 degrees

Step-by-step explanation:

HELP PLEASE I REALLY NEED THE HELP ON THIS.

Answers

for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!

for question 10, use a ruler to draw and label your own line segment.

on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’

for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.

A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.

Answers

Answer:

1,000 feet

Step-by-step explanation:

The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side.  (Like the letter "E").

5,000/5=1,000

i don’t know how to show that the probability is 3/4 or how to work it out helppp

Answers

Step-by-step explanation:

There are 12 beads.  2 are blue, 1 is green, 3 are purple, and the rest (6) are red.

So there are 9 beads that are purple or red.

The probability is therefore 9/12, which reduces to 3/4.

Answer:

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Step-by-step explanation:

Well first we need to work out the number of beads total.

2 blue + 1 green + 3 purple + 6 red = 12

9 purple or red,

9/12

Simplified,

3/4

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Select the correct answer from each drop down menu?

Answers

Answer:  Area of Fountain = 147/147.58

               Area of Circular path = 28.26

Step-by-step explanation:

formula for area of circle = pi x r^2

radius of fountain - [tex]\\ \sqrt{47} \\[/tex]

area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)

=147

radius of circular path - [tex]\sqrt{56}[/tex]

area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )

=28.26

What is -6/7 x (-3/8)

Answers

Answer:

9/28

Step-by-step explanation:

−6/7×−3/8and solve

−6 ×−3 OVER 7×8

=18/56

18÷2 OVER 56÷2=9/28 Therefore:

−6/7×−3/8=9/28

Answer:

[tex] \frac{9}{28} [/tex]

Step-by-step explanation:

[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]

Multiplying two negative equals a positive

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex] \frac{6}{7} \times \frac{3}{8} [/tex]

Reduce the numbers with G.C.F 2

[tex] \frac{3}{7} \times \frac{3}{4} [/tex]

Multiply the fractions

[tex] \frac{3 \times 3}{7 \times 4} [/tex]

[tex] \frac{9}{28} [/tex]

hope this helps...

Good luck on your assignment...

Suppose you have a triangle, and you want to construct a similar triangle. Which two
transformations will result in a triangle that is similar, but is not congruent?
Rotation and Reflection
Reflection and Translation
Reflection and Dilation
Translation and Rotation

Answers

Answer: C) reflection and dilation

Explanation:

The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.

Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.

3x2 +x=10 what’s the answer?

Answers

Answer:

Step-by-step explanation:

3 × 2 + x = 10

6 + x = 10

x = 10 -6

x = 4

Step-by-step explanation:

so 3 x 2 is 6

6 add x is 6x

6x = 10

divide by 6 or 10 on both sides to get ur answer

hope this helps

i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )

Plz help me x+y=5 y=3+x

Answers

Answer:

2x+2y+8

Step-by-step explanation:

just combine like terms I think.

x+y=5 y=3+x

x+x =2x

y+y =2y

5+3=8

hope it helps <33

Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value g(4) plz help quickly

Answers

Answer:

g(4) = -7

Step-by-step explanation:

g(x) = −2x + 1.

Let x=4

g(4) = -2*4 +1

      = -8+1

     = -7

Answer:

[tex]\boxed{g(4) = -7}[/tex]

Step-by-step explanation:

[tex]g(x) = -2x+1[/tex]

Put x = 4

[tex]g(4) = -2(4)+1\\g(4) = -8+1\\g(4) = -7[/tex]

is 5.39 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

rational because it doesn't repeat

irrational: 5.399999

Rational: 5.39

:)

Which system of equations has only one solution? 4 x + 2 y = 8. Negative 4 x minus 2 y = 3. Negative 5 x + y = 6. 5 x minus y = negative 6. Negative 3 x + 4 y = 2. 3 x minus 4 y = 0. 2 x + 4 y = 6. 3 x minus 4 y = 9.

Answers

Answer:

Following system of equations have exactly one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Step-by-step explanation:

Given 4 system of equations:

1st  

[tex]4 x + 2 y = 8\\ -4 x -2 y = 3[/tex]

2nd

[tex]-5 x + y = 6\\ 5 x - y = - 6[/tex]

3rd

[tex]- 3 x + 4 y = 2\\ 3 x - 4 y = 0[/tex]

4th

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

[tex]a_1x+b_1y+ c_1=0[/tex] and  [tex]a_2x+b_2y+ c_2=0[/tex]

1. No solution:

There exists no solution if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]

2. Infinite solutions:

There exist infinitely many solutions if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

3. One solution:

There exists one solution if:

[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]

Now, let us consider the given equations one by one.

1st system of equations:

The ratio is:

[tex]\dfrac{4}{-4} , \dfrac{2}{-2} , \dfrac{8}{3}\\-1 =-1\neq \dfrac{8}{3}[/tex]

So, no solution.

2nd system of equations:

The ratio:

[tex]\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1[/tex]

So, infinitely many solutions.

3rd system of equations:

[tex]\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0[/tex]

So, no solution.

4th system of equations:

[tex]\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1[/tex]

Hence, only one solution.

So, the answer is:

Following system of equations have only one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Answer:

4

Step-by-step explanation:

Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT

Answers

Answer:

y = 3x -2

Step-by-step explanation:

y intercept means the point x = 0

need not be confused in that

we can get the two coordinates as

( 2, -4) and ( 0, -2)

gradient is difference of y/ difference of x

-2+-4/0-2

-6/-2 indeed its 3

so as y intercept is -2

c = -2

y = 3x - 2

Write the following decimals as fractions.

Show work for each and every question below.

Answers

Answer:

5a) 0.2823=2823/10000

5b) 0.5474=2737/5000

6a)0.3484=871/2500

6b) 0.5=1/2

7a) 0.11=11/100

7b) 0.1224=153/1250

Step-by-step explanation:

Find the median of the data in the dot plot below.

Answers

5 is the medium!!!

Explanation: the easiest way to find the medium is by one by one crossing out both sides till you get to the last standing middle number. Which in this case is 5
HOPE THIS HELPED

Please help with step by step. Thank you

Answers

Answer:

SU = 2PX = 6 2/3

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

  (UT)(UQ) = (US)(UW)

  (1.5)(4) = (SU)(3)

  SU = (4)(1.5)/3

  SU = 2

__

b. Secants PT and PX intersect at P. Thus ...

  (PQ)(PT) = (PR)(PX)

  PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

  PX = 6 2/3

A lot consisting of 50 bulbs is inspected by taking at random 10 bulbs and testing them. If the number of defective bulbs is at most 1, the lot is accepted; otherwise it is rejected. If there are 10 defective bulbs in the lot, what is the probability of accepting the lot?

Answers

Answer:

0.3487

Step-by-step explanation:

The probability of accepting the lot If there are 10 defective bulbs in the lot is;  0.3487

This involves binomial probability distribution which is given by the formula;

P(X = r) = ⁿ[tex]C_{r}[/tex] × [tex]p^{r}[/tex] × [tex]q^{1 - r}[/tex]

We are given;

Number of bulbs taken at random = 10

We are told that if the number of defective bulbs is at most 1, then the lot is accepted.

This means that probability of success is; p = 1/10 = 0.1

q = 1 - p

q = 1 - 0.1

q = 0.9

If there are 10 defective bulbs, then the probability of accepting the lot is;

P(X = 0) = ¹⁰[tex]C_{0}[/tex] × [tex]0.1^{0}[/tex] × [tex]0.9^{10 - 0}[/tex]

P(X = 0) = 0.3487

Read more at; https://brainly.com/question/24239758

Which expression can you simplify by combining like terms? 12b2+4ab−3ba−6 17a2−6b2a+4ba−9 5b2−5a2+8a−b 14a2+6ab−3b−3a

Answers

Answer:

12b^2+4ab−3ba−6

Step-by-step explanation:

12b2+4ab−3ba−6

The two middle terms are like terms, the order in which you multiply does not matter ab =ba

12 b^2 +4ab -3ab -6

12 b^2 +ab -6

The correct answer is....

A.) A 12b2+4ab-3ba-6

If the degree and variables of two terms are same, then they are called like terms.

Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.

By combining like terms we get

In options B, C and D, there are no like terms, So only the expression  we can simplify by combining like terms.

Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,

Answers

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

Graph: y = |x + 2| + 1

Answers

Answer:

[tex]x = y - 3 [/tex]

[tex]x = - (y + 1) y \geqslant 1[/tex]

Hope this is correct and helpful

Step-by-step explanation:

I suppose that this is the graph

HAVE A GOOD DAY!

Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find f(g[h(x)]).
55
169
26

Answers

Answer:

169

Step-by-step explanation:

f(x) = x^2, g(x) = x + 6, h(x) = 7

f(g[h(x)])

Replace h(x) with 7

f(g(7))

g(7) = 7+6 = 13

Replace g(7) with 13

f(13) = 13^2 = 169

Answer:

169

Step-by-step explanation:

We are asked to find:

f(g[h(x)])

We know that  f(x) = x^2, g(x) = x + 6, and h(x) = 7

Therefore, we can begin by substituting 7 for h(x)

 f(g[h(x)]), h(x)=7

f(g[7])

Now, we must find g(7). We know that g(x) is x+6

g(x)=x+6

We want to find g(7). Plug 7 in for each x.

g(7)=7+6

Add 7 and 6

g(7)=13

Substitute 13 in for g(7)

f(g[7])

f(13)

Finally, find f(13). We know that f(x)=x^2

f(x)=x^2

We want to find f(13). Plug 13 in for each x.

f(13)=13^2

13^2= 13*13= 169

f(13)=169

169

Therefore, f(g[h(x)]) is 169

Please help i will give brainliest for correct answers!​

Answers

Answer:b

Step-by-step explanation

Other Questions
assume the carrying capacity of the earth is 21 billion. use the 1960s peak annual growth rate of 2.1% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of 6.8 billion. How does the predicted growth rate compare to the actual growth rate of about 1.2% per year? What is something kind we can do as a school community to celebrate our return to school in September? Please answer this now two minutes The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 32.9 seconds and a standard deviation of 6.4 seconds.A) What is the probability that a randomly chosen student completes the activity in less than 33.2 seconds? B) What is the probability that a randomly chosen student completes the activity in more than 46.6 seconds? C) What proportion of students take between 35.5 and 42.8 seconds to complete the activity? D) 75% of all students finish the activity in less than____seconds. The supply of luxury boats is perfectly elastic, the demand for luxury boats is unit elastic, and with no tax on luxury boats the price is $22 million and 210210 luxury boats a week are bought. Now luxury boats are taxed 10%. What is the new quantity of boats sold and what is the governments tax revenue? symptoms of fatigue, heads ache, joint pain, indigestion, insomnia, dizziness, respiratory disorders and memory difficulties are known as what type of illness? Need help trying to figure out You are bearish on Telecom and decide to sell short 100 shares at the current market price of $50 per share. a. How much in cash or securities must you put into your brokerage account if the broker's initial margin requirement is 50% of the value of the short position? please help i really don't understand how to do this question plz *PSYCHOLOGY*What type of languages attaches prefixes or suffixes to denote different meanings to words? A. isolating languages B. amalgamating languages C. inflexional languages D. agglutinating languages Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.What errors did Lewis make? Check all that apply.He simplified incorrectly. It should be 20 instead of 200.He found the difference between the hypotenuse and the short leg instead of the long leg.He evaluated incorrectly. It should be .He evaluated incorrectly. It should be .He should not have taken the square root of each side to get rid of the exponent. Please answer this in two minutes FIRST GETS BRAINLLEST A unicycle wheel has a diameter of 30 inches. How many inches will the unicycle travel in 6 revolutions? Use = 3.14 and round your answer to the nearest hundredth of an inch. What solid figure has five faces and five vertices? rectangular prism cone triangular prism square pyramid A ladder placed against a vertical wall subtends an angle of 45 degree with the wall. The distance between the foot of the ladder and the wall is 15m, calculate the length of the ladder, correct to the nearest whole number. On April 30, Victor Services had an Accounts Receivable balance of $37,800. During the month of May, total credits to Accounts Receivable were $73,600 from customer payments. The May 31 Accounts Receivable balance was $31,000. What was the amount of credit sales during May? Easyyyyy plz ...................Permanent hardness of water is caused by dissolved :- A) CaClB) Ca(HCO3)2C) Mg(HCO3)2D) NaOH Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25 The nurse has a prescription to infuse 1000 mL of 5% dextrose in lactated Ringer's solution at 80 mL per hour. The nurse time-tapes the intravenous (IV) bag with a start time of 0900. After making hourly marks on the time-tape, the nurse should note which completion time for the bag?