Convert each rate using dimensional analysis. round to the nearest tenth, if necessary. 4.5 qt / min = ____ gal / h a. 67.5 c. 56.3 b. 33.8 d. 65

Answers

Answer 1

Option a is correct.

What is dimension analysis?

Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities and units of measure and tracking these dimensions as calculations or comparisons are performed.

We can convert qt/min to gal/h as shown below:

1 qt = 0.25 gallon

1 min = 1/60 hour

4.5 qt/min = (4.5*0.25)/ (1/60) gal/h

= 4.5*0.25*60 gal/h

= 67.5 gal/h

Hence option a is correct.

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Related Questions

Sara bought 12 feet of fabric to make curtains. She needs to cut it into 1/4 foot sections. How many sections of fabric will she have.

Answers

Answer: 48 sections

Step-by-step explanation:

Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.

The number of sections she will have if she does so is:

= Total length of fabric / Length of sections

= 12 ÷ 1/4

= 12 * 4/1

= 48 sections

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?​

Answers

Answer:

Step-by-step explanation:

The distance between 2 cities is 175 miles

What is scale on graph?

A scale is a set of numbers that help to measure or quantify objects. A scale on the graph shows the way the numbers or pictures are used in data.

Given data ,

The distance between Louisville and Nashville = 1 3/4 inches

Scale of the map = 1 in : 100 miles

Now , 1 inch = 100 miles on the map

And , 1 3/4 = 7 / 4 inches

So , 7 / 4 inches = ( 7 / 4 ) x 100 miles

                          = 1.75 x 100 miles

                          = 175 miles

Hence , the distance between 2 cities is 175 miles

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It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile

PLEASE HELP, I DON'T UNDERSTAND THE WORDING​

Answers

Answer:

C. 8 miles per hour

Step-by-step explanation:

It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour

Distance of the track = 1 mile long

The speed of an object expresses the ratio of distance moved to time taken to cover the distance.

i.e speed = [tex]\frac{distance}{time taken}[/tex]

           = [tex]\frac{1}{\frac{1}{8} }[/tex]

           = 8

Speed = 8 mile per hour

Therefore, Diego's bike has a speed of 8 miles per hour.

Having trouble solving this:

Answers

Answer:

It's the third option.

Step-by-step explanation:

Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7

Answer:

it's the 3rd one

What is an
equation of the line that passes through the points (0, -2)
and (6, 6)?

Answers

Answer:

8/6x+2................

Answer: y=(4/3)x-2

Step-by-step explanation:

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

x1=0, x2=6

y1=-2, y2=6

(y-(-2))/(x-0)=(6-(-2))/(6-0)

(y+2)/(x)=(6+2)/6

(y+2)/(x)=8/6=4/3

Cross multiply

3(y+2)=4x

y+2=(4/3)x

y=(4/3)x-2

find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y = 1/4x + 5

Answers

Answer:

The slope will be y= -1/4x+2

Step-by-step explanation:

Hope this Helped

what factored pair has a product of -24 and a sum of 2?

Answers

-4 and 6 is the answer

work out the value of x

Answers

A full circle is 360°.

x + 3x + 90° = 360°

4x = 360° - 90°

4x = 270°

4x/4 = 270°/4

x = 67.5°

Hope it helps! Make me brainliest if it’s correct.

An online furniture store sells chairs and tables. Each day, the store can ship at most 25 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

9514 1404 393

Answer:

  t + c ≤ 25

Step-by-step explanation:

"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.

The shipping constraint can be written as ...

  t + c ≤ 25

Vitai ir 8 reizes vairak konfekšu neka Annai, bet Uldim ir par 10 konfektēm vairak neka Annai. Cik konfektes ir katram no bērniem, ja kopa viņiem ir 60 konfektes? Lai atrisinatu, sastadi vienadojumu!

Answers

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

8. It takes Aldrin 30 minutes to finish reading the 10 pages of a book. How long does it take for
him to finish reading the 15 pages?​

Answers

Answer:

it took him 15 more minutes it would be 45 minutes in all

Step-by-step explanation:

I hope I helped!!

find the value of (3^0+4^-1)×2^2 ​

Answers

(3⁰+4-¹) × 2²

= (1 + ¹/₄ ) × 4

= ⁵/₄ × 4

= 20

Answer:

Solution

=(1+0.25)×4

=1.25×4

=5

since 3^0=1

The baker at weis supermarket will cut 5 indeticial loaves of bread into pices that are 1/3 . After he cuts the 5 loaves how many pices will the baker have

Answers

Answer:

15 pieces

Step-by-step explanation:

we see if we get 3 pieces from one bread then 5 will be 15

hope it helps you

please mark me as brainlist

I believe it would be 1/3 x 5 which would be 5/15

Solve for θ. Please help me!!

Answers

We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.

[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]

[tex] = 30 \: degrees[/tex]

A 36 ounce box of cereal costs $3.50. Find the unit price.

Answers

$0.0972

I think.

Um this is to make it long enough to post. lol

Answer:

Approximately $0.10 per ounce

Step-by-step explanation:

Hi! :) I'm assuming this problem is asking for the price per ounce? If not, I apologize.

So, in order to determine the price of cereal per ounce we would simply divide $3.50 by 36 to find the cost per ounce.

$3.50 / 36 = approximately $0.09722222 which we can round up to $0.10.

Hope this helps!

What figures are similar for brainliest

Answers

Answer:

option D is correct answer of this question ,all is similar

Answer:

d

Step-by-step explanation:

A woman is standing 12 feet from a sculpture. The angle of elevation from her eyes to the top of the sculpture is 35º. If the woman's eyes are 5 feet 6 inches off the ground, how tall is the sculpture? Round answer to the nearest thousandth of a foot.

Answers

Answer:

13.903 feet

Step-by-step explanation:

Let the height from the woman's eyes to the top of the sculpture be represented by x.

So that,

Tan 35 = [tex]\frac{x}{12}[/tex]

x = Tan 35 x 12

  = 0.70021 x 12

  = 8.4025

x = 8.403 feet

The height of the sculpture = The woman's eye level to the ground + x

                                              = 5 feet 6 inches + 8.403 feet

                                              = 5.50 feet + 8.403 feet

                                              =  13.903 feet

Thus, the sculpture has a height of 13.903 feet.

Is (4, 20, 100,...)geometric

Answers

Answer:

500,2500

Step-by-step explanation:

multiply by five

Step-by-step explanation:

yes if u multiple 4x5=20 20x5=100

A bottle contains 500 ml of orange juice. Write an expression for EACH of the following.

The amount of juice left in the bottle after pouring out
(i) p ml.

(ii) q glasses each containing r ml​

Answers

Answer:

1. 500-p

2. qr=500

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

Amount of juice left in the bottle after pouring out [tex]q[/tex] glasses each containing [tex]r[/tex] [tex]ml[/tex]​ [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

An algebraic expression refers to a combination of symbols, numbers, variables, and arithmetic operations.

Volume of bottle of orange juice [tex]\boldsymbol{\boldsymbol{=500\,ml}}[/tex]

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

(ii) Amount of juice contained in [tex]q[/tex] glasses [tex]=(qr)\,ml[/tex]

So,

Amount of juice left in the bottle after pouring out [tex]qr\,\,ml[/tex] of juice [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

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....................................e..................................

Answers

Answer:

what?

Step-by-step explanation:

.........................................e...................................................

In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in Virginia decrease from 2010 to 2016?

Answers

Answer:1.6%

Step-by-step explanation: no of students in 2010=311

no of students in 2016=306

difference=311-306

                 =5

%decrease=5/311 x 100

Answer:

2

306 over 311 and x over 100 do the butterfly method then you have 30600 and 311x after that you divide 311 by 311 and 30600 by 311 and you have 1.6 but it says round to the nearest whole which is 2

What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form

Answers

Answer:

Step-by-step explanation:

(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope

5(x + 8) + x + y, given that x = 3 and y = 30

Answers

Answer:88

Step-by-step explanation:

Given, x=3 & y=30

So, 5(3+8)+3+30 = 5(11)+3+30 = 88

Answer: 88

Step-by-step explanation:

5(3+8)+3+30

5 x 11 + 33

55+33

=88

Where does the graph of y = -3x - 18 intersect the x-axis?

Answers

Answer:

(-6,0)

Step-by-step explanation:

Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.


Answers

The radius of the outer circle is 17 so you put that in the formula to find the area of a circle and solve to get 153.86 squared meters as the final answer. The radius of the inner circle is 7 because it shows that the upper part of the circle is 10 and the whole thing is 17, so you do 17-10 to get 7 as the radius. Then put it in the formula and get the final answer as 907.46 squared meters.

Solve 2(x - 5) = 6(x - 1)

Answers

Answer:

60

Step-by-step explanation:

so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60

Answer:

x=-1

Step-by-step explanation:

2(x-5)=6(x-1)

2x-10=6x-6

-4x-10=-6

-4x=4

x=-1

Please help me id you want BRIANLEIST!!! :)) ty!!!

Answers

Answer:

5/3

Step-by-step explanation:

4 × x = (6×3+2)/3

---> 4x = 20/3

----> x = 20/12

----> x=5/3

Hope it helps

Answer:

5/3

Step-by-step explanation:

PLEASE HELPPPPPPPPP PLEASE I BEG ILL GIVE 20 POINTSSSS

Answers

Answer:

6 spaces

Step-by-step explanation:

The vertical axis is on the left, and point B is moving to the right of that. Based on the number point B is aligned with on the horizontal axis, point B is 6 spaces away from the vertical axis.

Please help I need it for today

Answers

Step-by-step explanation:

Disculpe pero de qué grado es usted para ayudarle un poquito más mejor

*EXTRA PTS* find the value

Answers

Answer:
16) -7
17) 9
18) 5
19) 4
20) 10
21) -9

How?
X+139=132 by the alternate interior angle rule so solve and get -7

-1+14x=12x+17 by the alternate exterior angle rule so solve and get 9

21x+5= 23x-5 by the corresponding angles rule solve and get 5

20x+5+24x-1= 180 because when an angle is one a parallel line the sun of angle to the right or left of it is 180 solve and get 4

6x= 5x+10 by the corresponding angles rule solve and get 10

X+109+x+89= 180 because x+89 is equal to the angle that is too the right of x+109 by the alternate interior angle rule making the sum equal to 108. Solve and you get -9

That was a lot of math
Hope it helps :D
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