Translate to a system of equations but do not solve
A nontoxic floor wax can be made from lemon juice and food grade linseed oil. The amount of oil should be twice the amount of lemon juice. How much of each ingredient is needed to make 42 ounces of floor wax?
Let x represent the number of ounces of lemon juice and y the number of ounces of linseed oil.
Complete the system of equations
x+y=

Answers

Answer 1

Answer:

The system of equations is:

x+y = 42

y = 2x

Step-by-step explanation:

Let x represent the number of ounces of lemon juice.

Let y represent the number of ounces of linseed oil.

A total of 42 ounces of floor wax is to be made, so:

x+y = 42

The amount of oil should be twice the amount of lemon juice. So:

y = 2x

so the system of equations is obtained.


Related Questions

What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answers

Answer:

210 cm²

Step-by-step explanation:

The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.

Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles

✔️Area of the 2 trapezoid bases:

Area = 2(½(a + b)×h)

Where,

a = 7 cm

b = 11 cm

h = 3 cm

Plug in the values

Area = 2(½(7 + 11)×3)

= (18 × 3)

Area of the 2 trapezoid bases = 54 cm²

✔️Area of Rectangle 1:

Length = 6 cm

Width = 3 cm

Area = 6 × 3 = 18 cm²

✔️Area of Rectangle 2:

Length = 7 cm

Width = 6 cm

Area = 7 × 6 = 42 cm²

✔️Area of Rectangle 3:

Length = 6 cm

Width = 5 cm

Area = 6 × 5 = 30 cm²

✔️Area of Rectangle 4:

Length = 11 cm

Width = 6 cm

Area = 11 × 6 = 66 cm²

✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²

Which of the following is the equation in slope-intercept form for the line that passes through the points (-2, 4) and (2.0) ?
O y = x + 2
O y = x-2
O y = -x + 2

Answers

Answer:

y = -x + 2

Step-by-step explanation:

Find the slope with rise over run:

(y2 - y1) / (x2 - x1)

(0 - 4) / (2 + 2)

-4 / 4

= -1

Find the y intercept by plugging in the slope and a point:

y = mx + b

4 = -1(-2) + b

4 = 2 + b

2 = b

Plug in the slope and y intercept:

y = -x + 2

So, the correct answer is y = -x + 2

The question is below

Answers

9514 1404 393

Answer:

  162°

Step-by-step explanation:

The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.

So, central angle ABC is twice the measure of inscribed angle ADC:

  m∠ABC = 2·81° = 162°

25 Point Math Question Image Attached

Answers

X = hypotenuse x sin(angle)

Rewriting this with the given information:

Sin(26) = x/10

The answer is B.

Answer:

answer is B

Step-by-step explanation:

just got it right

Help me please


Jayla’s goal is to write a 100 page book of poetry. She has already written 30 pages. Each day she writes 10 more pages. How many days will it take her to finish the book?

Answers

Answer:

100

Step-by-step explanation:

100-30=70

70÷10=7

7 days or 1 week

if it is not right please let me know

Answer:

7 days

Step-by-step explanation:

100 - 30 = 70

This means that she still needs to write 70 pages.

70/10 = 7

My head is hurting can you help me

It’s 16 points

Answers

Answer:

-6, -4

Step-by-step explanation:

If you flip the shape over the Y axis you can see

Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of six or more, 18% tip is automatically added in. What is the total cost of the meal, including tip?

Answers

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22  including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18%  to get ;

82/100 * 91.22 = $ 74.80

Please, I give 20 score. Find the volume

Answers

Answer:

2388.16 in³

Step-by-step explanation:

1) find volume of cylinder

formula: πr²h

given:

π = 3.14

r = 8/2 = 4 in

h = 9 in

[tex]\pi \: r {}^{2} h[/tex]

[tex](3.14) \times (4 {}^{2} ) \times 9[/tex]

[tex]3.14 \times 16 \times 9[/tex]

[tex]452.16 \: {in}^{3} [/tex]

2) find volume of cuboid

formula: length × width × height

given:

length = 16 in

width = 11 in

height = 11 in

[tex]l \: \times w \: \times h[/tex]

[tex]16 \times 11 \times 11[/tex]

[tex]1936 \: in {}^{3} [/tex]

total volume of figure

= volume of cylinder + volume of cuboid

= 452.16 in³ + 1936 in³

= 2388.16 in³

find the length of segment cd, given ab is congruent to cd

Answers

X = 3 so 22 needstobe20characterslong

0.25 of 40 plz plz help

Answers

Percentage Calculator: What is 0.25 percent of 40? = 0.1.

SOMEONE PLZ HELP ME WIT THIS QUESTION

Answers

Answer:

25(x)= 200

Step-by-step explanation:

Total = 200

Per day = 25

x = how many days

25(x)= 200

25(8)= 200

- Sorry i am just a little confused by the question but i hope this helps. Have a great day!

Answer:

x+25=200

Step-by-step explanation:

What is the product of 10 and 3/4

Answers

the product of 10 and 3/4 is 7.5!!
I HOPE THIS HELPED

you have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?

Answers

Answer:

Wouldn't it be 8?

Step-by-step explanation:

You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.

Answer:

8

Step-by-step explanation: you can crack, cook, and eat with 1 egg

so if you cracked 2 cooked 2 and ate 2, it means that you only used 2

Find the probability of getting the color crewmate and the hat. Determine the probability for each question and write the code in the box below.

Answers

Answer:

Step-by-step explanation:

Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]

1). Probability of getting the red crewmate,

   [tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]

   Probability of getting a chef hat,

   [tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]

  Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]

   = [tex]\frac{1}{2}\times \frac{1}{8}[/tex]

   = [tex]\frac{1}{16}[/tex]

2). Probability of getting blue crewmate,

     [tex]P_1=\frac{2}{6}[/tex]

          [tex]=\frac{1}{3}[/tex]

   Probability of getting an egg hat,

    [tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]

   Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]

    = [tex]\frac{1}{3}\times \frac{1}{4}[/tex]

    = [tex]\frac{1}{12}[/tex]

3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]

    Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]

    Probability of getting a green crewmate and banana hat

    = [tex]\frac{1}{6}\times \frac{3}{8}[/tex]

    = [tex]\frac{1}{16}[/tex]      

Does this graph represent a function and if so why

Answers

Answer:

the answer is b

Step-by-step explanation:

Multiply both sides by what?

-6y( )=3( )

Answers

Answer:

By -2 (two) I believe, but plz correct me if I’m wrong!

Step-by-step explanation:

Solve for n in the following equation. A=P(1+n) show all work

Answers

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

Define curvature and state it's formula

Answers

Jxjxjsjsjsksjsiisnznzjxjx

Answer:

I am not sure what the formula is, so I apologize for that.

The curvature is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.

Step-by-step explanation:

Find the value of the expression. 12 - (-13) + (-1)

Answers

Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.

Answers

Answer:

$288

Step-by-step explanation:

12% monthly

144% yearly.

100*1.44*2 = all

all = 288

Hope this helps plz hit the crown :D

The correct answer is $288

PLEASE HELP! WILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

Answer:

1,3,4

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

P(-11 , 14)

Step-by-step explanation:

Explanation:-

Given points A(-6, 9), B(2, 1); Ratio 5 : 3

The Point P divides the directed line segment from A to B in the given ratio Externally

       5 : 3

A( -6,9)    B(2,1)

we will use formula



                            =   [tex](\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})[/tex]

                           =  [tex](\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)[/tex]

The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally



99+99x=0 how to solve this

Answers

Step-by-step explanation:

99+ 99x = 0

99 = - 99x

x = - 99/99

x = -1

Hope it helps :)

Answer:

X = -1

Step-by-step explanation:

99 + 99x = 0

99x = -99

x = -99/99

x = -1

help asap please help​

Answers

Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

Pls anserw the pic attached below

Answers

Answer:

[tex]x=38[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\\angle KLO=134\\\angle OMN= 84\\Hence\ we\ observe\ that,\\\angle KLO\ and\ \angle OLM\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle KLO\ + \angle OLM=180\\Substituting\ \angle KLO=134,\\134+\angle OLM=180\\\angle OLM=180-134\\\angle OLM=46\\Similarly,[/tex]

[tex]\angle OMN\ and\ \angle OML\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle OMN\ + \angle OML=180\\Substituting\ \angle OMN=84,\\84+\angle OLM=180\\\angle OLM=180-84\\\angle OLM=96\\[/tex]

[tex]Now\ lets\ consider\ \triangle OML,\\\angle OLM + \angle OML+ \angle LOM=180 [Angle\ Sum\ Property\ Of\ a\ triangle]\\Hence\ substituting\ \angle OLM=46, \angle OML=96, \angle LOM=x\\46+96+x=180\\142+x=180\\x=180-142\\x=38[/tex]

hii pls answer as quickly as possible i will give you the brainliest :))​

Answers

Answer:

sorry

Step-by-step explanation:

I really don't know answer

Write three numbers greater than 20 that have 9 as a factor​

Answers

Answer:

Here are three multiples of nine that exceed 20:

Step-by-step explanation:

9(3) = 27

9(4) = 36

9(5) = 45.

3. Given the equation determine:
f(x)= x² - 4
f(-3)

Answers

Answer:5

Step-by-step explanation: F(-3)=(-3)^2 -4

(-3)^2=9

F(-3)=9-4

F(-3)=5

Answer:

5

Step-by-step explanation:

what is -5 - 1/2 equal?

Answers

Answer:-5.5

Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5

Answer:

-5.5

Step-by-step explanation:

When you do -5 - 1/2, you get -5.5!

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?

Answers

Answer: It is a function because at any given time the oven was exactly one temperature.

Step-by-step explanation:

It is given that:

At 5:00 p.m., Antonio turned on the oven.

The oven remained at 400°F for 45 minutes until Antonio turned it off.

It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m.

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