Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.

Answers

Answer 1

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

[tex]4\text{ quarts}=1\text{ gallon}[/tex]

[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]

[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]

Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.


Related Questions

Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??

Answers

Step-by-step explanation:

1. 4/8=1/2

2.3/9=1/3

3.9/12=3/4

4.3/6=1/2

What the equation of this graph in slope-intercept form?

Answers

Answer:

y= 3/5x + 3

Step-by-step explanation:

slope= 3/5

y intercept= 3

Answer: [tex]y=\frac{3}{5} x+3[/tex]

Step-by-step explanation:

To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).

[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]

Now that we know the slope, we can plug in any point to find the y-intercept.

[tex]3=\frac{3}{5} (0)+b[/tex]            [multiply]

[tex]b=3[/tex]

Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].

-11 = -0.2k
find k. thank you!

Answers

Answer:

k=55

Step-by-step explanation:

Divide by -0.2 on both sides

-11/-0.2=55

55=k

Answer:

k = 55

Step-by-step explanation:

-11 = -0.2k

-0.2  -0.2                    Divide -0.2 on both sides

                k = 55

The plans for a new street show lamp post that are 2.5 inches apart. If the plans use a scale of 0.5 inch = 9 yards, find the actual distance between the lamp posts.

Answers

Answer: 45 yards

Step-by-step explanation:

From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,

Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:

= (2.5inches / 0.5 inches) × 9 yards

= 5 × 9 yards

= 45 yards

The sum of two numbers is 18. 5 times the first number subtracted from 4/7 of the second number is 14. Find the number.

Answers

Answer:

The sum of two numbers is 18.

5 times the first number subtracted from 4/7 of the second number is 14.

First number --> x

Second number --> y

so

x + y = 18 --> x = 18-y

5x - (4/7)y = 14

so

5 (18-y) - (4/7)y = 14

90 - 5y - 4/7 y = 14

-5.57 y = 14-90

y = 13.64

so

x = 18 - 13.64

x = 4.36

solve for the missing side

Answers

Step-by-step explanation:

give some hint

but I think the answer should be 8

Which table shows the same relationship as the graph? Explain thank you!

Answers

the answer is D.


we start by looking at the graph. the line shown goes through these points perfectly:

(2, 0.5)
(4, 1)
(6, 1.5)
(8, 2)

and so on. now we see if any of these are included in the tables below.

there aren’t any decimals or fractions in any of the tables, so we just look for (4, 1) and (8, 2) as listed in the tables. we find that d includes those points and continues the trend with the other points listed.

therefore the answer is d.

hope this helps!! (:

Emilio drew a line that is modeled by the equation y-4=3(x-2) what is the slope of the line?

Answers

Since this line is written in point slope form, we have y-y1=m(x-x1) so our m is our slope. Here, m=3 so our slope here is 3

Graph the equation of y = | x | four units up ​

Answers

Answer:

Y = 1x + 4

Step-by-step explanation:

please help
I need it right now
thank you

Answers

Answer: Okay, I can't answer 1. and 2. because I don't know who Iris is, an the team/students

Send a pic of the teams

Step-by-step explanation:

three more than the quotient of a number and 7 is at most 92. Find the number

Answers

Answer:

The number is 623.

Step-by-step explanation:

[tex]\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623[/tex]

Which organization created a shared economy?

European Union
World Trade Organization
North American Free Trade Agreements
Association of Southeast Asian Nations

Answers

Answer:

a

Step-by-step explanation:

got 100% on my final exam your welcome if wrong then you must have a different layout than me but its aka european union thats my a

The European Union is the organization which created a shared economy and is denoted as option A.

What is European Union?

This is referred to as a political and economic union of 27 member states which have their location in Europe.

It helps to foster bond through the use of a shared economy thereby making it the most appropriate choice.

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Elvira ran 15 miles in 3 hours. Which function could determine the number of miles Elvira ran? A) y = 4x B)y=5x C) y = 2x​

Answers

Answer:

B, hope it helps :D

Step-by-step explanation:

Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!

Answers

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

All the fractions can simplify to 2/3

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

Step-by-step explanation:

re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.      

can someone do this for me i don't get it.

Answers

1)
The answer is B, y=4x because the y column is always 4 times the x column

2)
Domain = (1,2)
Range = (5,6,7,8)
Function = there is no function because the x value has multiple y values associated with it

3) No
4) yes
5) Tia is correct because the y values are half of the x values

it cost $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lb of walnuts

Answers

Answer:

$34.5

Step-by-step explanation:

4/3x3.45=4.6

7.5x4.6=34.5

PLEASE HELP ME THIS ASSIGNMENT IS 50 SUMMATIVE POINTS IT COULD REALLY HELP OR HURT OR GRADE DUE IN 10 MIN

Answers

jane times everything by 100
karen timed 1.25 by 100
scott added x and 1.25x together

The sanctuary’s gift shop purchases items for the amount shown in the table. Leo marks up the cost of each item by 45% to determine the gift shop’s selling price. How much would a customer pay for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax?

Answers

Answer:21.50 dollars

Step-by-step explanation:

The customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

According to the given, the required solution would be as:

Mark up for binoculars = 10 x 1.45 = 14.50

14.5 x 1.085 = 15.7325 in sales tax

The total cost per binocular is $15.73 ($).

Bird Guide Commission = 7 x 1.45 = 10.15

10.15 x 1.085 = 11.01275 Sales Tax

The total cost per Bird Guide is $11.11 ($).

The addition provides one of each.

⇒ 15.73 + 11.01 = 26.74

Thus, the customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax

Learn more about the percentages here:

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a(b + c) = a • b + a • c, where a, b, and c are real numbers

Use the distributive property to simplify the expression.
8(3 + 4) = 24 +

Answers

Answer:

a(b + c) = a • b + a • c

=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32

Step-by-step explanation:

Answer:

The answer for the blank is 32

Step-by-step explanation:

What is the solution to this system of equations?
5x + 2y 29
x + 4y= 13
OA.
A. X= 5, y = 3
OB. X= 2, y = 5
OC. x = 5, y = 2
OD. x= 3, y = 2

Answers

C. x = 5, y = 2

5(5) + 2(2) = 29

25 + 4 = 29

29 = 29

5 + 4(2) = 13

5 + 8 = 13

13 = 13

The solution to this system of equations is x= 5 and y=2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation:

5x + 2y= 29

x+ 4y= 13

Now, solving above two equation we get

x= 5 and y =2

Learn more about Equation here:

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A flat-screen television was marked down by 35 percent, which reduced its price by $115.65. What was the original cost of the television before it was marked down?
$214.78
$330.43
$404.78
$4,047.75

Answers

Answer:

B

Step-by-step explanation:

35% of this price is :

35/100 × x = 0.35x

The price reduces by 0.35x.

This equals to 115.65

Now :

0.35x = 115.65

100/35 × 115.65 = 330.43

Answer:

THE ANSWER BBB . $330.43

Step-by-step explanation:

PLEASE HELP WITH 18 &19
will give 15 points !!!!

(3r-16)
18. x =
19. X=
(11y - 32)
(6r+7)
y =
20. r =
19.
y =
(8x - 14)
(5y + 16)
(5x + 34)

Answers

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18 ) Go...

[tex](3x - 16) + (6x + 7) = 180[/tex]

Collect like terms

[tex]9x - 9 = 180[/tex]

Add sides 9

[tex]9x - 9 + 9 = 180 + 9[/tex]

[tex]9x = 189[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{189}{9} \\ [/tex]

[tex]x = 21[/tex]

_________________________________

[tex]11y - 32 = 6x + 7[/tex]

[tex]11y - 32 = 6(21) + 7[/tex]

[tex]11y - 32 = 126 + 7[/tex]

[tex]11y - 32 = 133[/tex]

Add sides 32

[tex]11y - 32 + 32 = 133 + 32[/tex]

[tex]11y = 165[/tex]

Divide sides by 11

[tex] \frac{11y}{11} = \frac{165}{11} \\ [/tex]

[tex]y = 15[/tex]

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19 ) Go...

[tex]8x - 14 = 5x + 34[/tex]

Add sides 14

[tex]8x - 14 + 14 = 5x + 34 + 14 \\ [/tex]

[tex]8x = 5x + 48[/tex]

Subtract sides 5x

[tex] - 5x + 8x = - 5x + 5x + 48[/tex]

[tex]3x = 48[/tex]

Divide sides by 3

[tex] \frac{3x}{3} = \frac{48}{3} \\ [/tex]

[tex]x = 16[/tex]

_________________________________

[tex](5y + 16) + (8x - 14) = 180[/tex]

[tex]5y + 16 + 8(16) - 14 = 180[/tex]

[tex]5y + 16 + 128 - 14 = 180[/tex]

[tex]5y + 130 = 180[/tex]

Subtract sides 130

[tex]5y + 130 - 130 = 180 - 130[/tex]

[tex]5y = 50[/tex]

Divide sides by 5

[tex] \frac{5y}{5} = \frac{50}{5} \\ [/tex]

[tex]y = 10[/tex]

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PLEASE HELP RIGHT NOW THE QUESTION IS BELOW WITH THE PICTURE IF YOU KNOW IT PLEASE TELL ME I WOULD APPRECIATE IT THANKS HAVE AN AWSOME NIGHT

Answers

Answer:

b

Step-by-step explanation:

Which lines are parallel

Answers

Answer:

Step-by-step explanation:

the 2nd answer choice

Answer:

a, b, and c

Step-by-step explanation:

You can see that they will never intersect, therefore they are all parallel to each other.

I hope this helped, please mark Brainliest, thank you!

find the solutions of the quadratic equation 3x^2-4x+4=0

Answers

Answer:

2.3

Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry

plsss help fast please!!!

Answers

5. 2/1 6. 1/-2 7. 2/-3

what is y=x+1
y+2x=10

Answers

Answer:

listin or read but i will try to help you as much as i can

Step-by-step explanation:

X=3 while y=4. I hope this helps

what this is common denominator of 3/3c² 1/9c³ and. x-1/6c. ?

a.108
b.18c³
c.54c
d.9c6​

Answers

It’s going to be 18c³

Step-by-step explanation:

: a common multiple of the denominators of a number of fractions. 2 : a common trait or theme.

Find the value of X in the triangle

Answers

Answer:

             44°

Step-by-step explanation:

[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]

[tex]m\angle DBE=m\angle ABC=68^o[/tex]   {vertical angles}

[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]

PLEASE HELP MEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!



Suppose line segments AB and CD are parallel. What is the measure of angle x?




∠ x = *blank* °

Answers

Answer:

x=75

Step-by-step explanation:

54+51+x=180

105+x=180

x=75

The value of the angle will be equal to x=75.

What is the supplementary angle?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complementary angles is 90 degrees.

Given that the two angles are 54 and 51 and the remaining angle is x. The value of the unknown angle is calculated by applying the supplementary angle property.

54 + 51 + x = 180

105+ x = 180

x = 75

Hence, the unknown angle is 75°.

To know more about supplementary angles follow

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