Mathematics College

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

Anna wrote a pattern starting at 0 and following the rule "add 2." Niko wrote a pattern starting at 0 and following the rule "add 4." Which shows the two patterns?
0, 2, 4, 6, 8,... Niko: 0, 4, 8, 12, 16,...
0, 2, 4, 6, 8,... Niko: 4, 8, 12, 16, 20,...
0, 2, 4, 6, 8,... Niko: 0, 4, 6, 8, 10,...
2, 4, 6, 8, 10,... Niko: 4, 8, 12, 16, 20,...

Answers

Answer:

The first one is the right answer

Step-by-step explanation:

Hope this helps have a good day

Answer:

the first one is right

Step-by-step explanation:

Helppp pleaseeee xxxxx

Answers

Answer:

[tex] h = 3\sqrt{3} [/tex]

[tex] c = 4\sqrt{2} [/tex]

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

[tex] tan(60) = \frac{h}{3} [/tex]

[tex] \sqrt{3} = \frac{h}{3} [/tex] (tan 60 = √3)

Multiply both sides by 3

[tex] 3\sqrt{3} = h [/tex]

[tex] h = 3\sqrt{3} [/tex]

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

[tex] cos(45) = \frac{c}{8} [/tex]

[tex] \frac{\sqrt{2}}{2} = \frac{c}{8} [/tex] (cos 45 = √2/2)

Multiply both sides by 8

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

[tex] \sqrt{2} \times 4 = c [/tex]

[tex] c = 4\sqrt{2} [/tex]

Lucy $154 made for 11 hours of work. At the same rate, how much would she make for 8 hours of work?

Answers

Answer:

19.25

Step-by-step explanation:

Thee questionn is beloww

Answers

Given:

[tex]m\angle ABC=60[/tex]

To find:

The [tex]m\angle ADC[/tex].

Solution:

In circle B, [tex]\angle ABC[/tex] is central angle and [tex]\angle ADC[/tex] is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

[tex]m\angle ABC=2(m\angle ADC)[/tex] [Central angle theorem]

[tex]60=2(m\angle ADC)[/tex]

Divide both sides by 2.

[tex]\dfrac{60}{2}=m\angle ADC[/tex]

[tex]30=m\angle ADC[/tex]

Therefore, [tex]m\angle ADC=30[/tex].

Find the value of this expression if x = 5 and
y = 2.
xy^2/-3

Answers

Answer:

The value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{xy^2}{-3}[/tex]

Apply the fraction rule: a/-b = -a/b

[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]

substituting x = 5, y = 2 in the expression

[tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]

[tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]

[tex]=-\frac{20}{3}[/tex]

Therefore, the value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

What is the slope of the line?

- 1 / 4

- 8 / 17

- 4

- 6

Answers

Answer: The slope of the line = 4.

Step-by-step explanation:

We know that ,

Slope of a line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here , the line passes through points (2,18) and (8,42).

Then the slope of the given line = [tex]\dfrac{42-18}{8-2}[/tex]

[tex]=\dfrac{24}{6}=4[/tex]

Hence, the slope of the line = 4.

Answer:

Step-by-step explanation:

i took the test and got it right

Helpppp pleaseeeeeeee

Answers

Answer:

x= 6.85 or 89/13

Step-by-step explanation:

perimeter is sum of all sides added, so add them all and set them equal to 84

4(x-3) + 3x - 1 + 6x + 8 = 84

distribute

4x + 12 + 3x - 1 + 6x + 8 = 84

combine like terms

13x - 5 = 84

solve for x

x = 89/13 = 6.85

unit rate of 122 and 10 please

Answers

The unit rate is 4.72 times re amount of phechel matter there is

What is the domain of the function.....
{TIMED PLS HURRY}

Answers

try c im sorry if im wrong i tried

I need help right now brain listed if somone helps me!

Answers

Answer:

6/5

Step-by-step explanation:

Remember: to divide a number by a fraction, invert the fraction and multiply.

Here "the number" is 4/5 and you want to divide it by 2/3. Invert the '2/3', obtaining 3/2, and then multiply the '4/5" by '3/2":

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

[tex]\huge❤\bold\red{Hello}❤[/tex]

Hey mate 1.5miles per hour is your Answer

[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]

[tex]Mark \: me \: as \: brainliest .[/tex]

[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]

A company that makes hair care products had 9,000 people try a new shampoo. Of the 9,000 people,
18 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

Answers

Answer:

0.2%

Step-by-step explanation:

18/9000×100%

now use calculator

Answer: 0.2 percent

Step-by-step explanation:

This is the number of people who were allergic to the shampoo/ total people

18/9000

Simplify!

1/500=0.02=0.2 percent of people

solve this ...BABABOOEY

Answers

Answer:

The answer is G because everything in the problem adds up to G

Answer:

Yes i will solve BABABOOEY

Step-by-step explanation:

Math pic is below
Thanks

Answers

I believe the answer is Q = 90

Answer:

q = 90

Step-by-step explanation:

q / 18 = 5.

Multiply both side by 18.

q /18 × 18 = 5 × 18

q = 90.

What is the range of h

Answers

“B” is the answer I think

At Barlow school, 4/9 of the 873 students are boys. At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?

Answers

Answer:

I have attached the answer

the sum of 5 and a number x

plz help
due by 11:59

Answers

Answer:

x+5 is the answer.............

Answer:

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]

⇒. x +5

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Is 5/12 closer to 0, 1, 1/2

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is 6/12. 6/12 is close to 5/12 than the others.

What is the inverse of the function f(x) = x +3?

Answers

1- First, replace f(x) with y

f(x) = x +3 ⇒ y = x + 3

2. Replace every x with a y and replace every y with an x .

y = x + 3 ⇒ x = y + 3

3. Solve the equation from Step 2 for y.

x = y + 3 ⇒ y = x-3

4 - Replace y with f⁻¹(x).

f⁻¹(x) = x-3

The inverse is f⁻¹(x) = x-3

BRAINLIEST IF CORRECT HURRY
Which statements represent the relationship between y=3x and y=log3x ?

a. The graphs of functions are symmetric about the line y = 0.
b. The functions are inverses of each other.
c. The graphs of functions are symmetric to each other over the line y = x.
d. The equation y=log3x is the logarithmic form of y=3x .

Answers

2 Answers: Choice B and Choice C

====================================================

Explanation:

Choice A is false because all of [tex]y = 3^x[/tex] is above the x axis. There are no portions below the x axis, which means it cannot possibly be symmetric about the x axis.Choice B is true. The exponential undoes the log, and vice versa. This only works if the bases of the exponential and log are the same. In this case, both are base 3.Choice C is true. To visually find the inverse, we reflect over the line y = x.Choice D is false. Converting [tex]y = 3^x[/tex] to logarithmic form leads to [tex]x = \log_3(y)[/tex]. So you'll need to swap the x and y.

Please help me now

Answers

Answer:

Step-by-step explanation:

C: Side-Angle-Side

Help if your smart plzzzzzzz
( will give 35 pts and brainliest)

Answers

Answer:

a) alternate interior angles theorem

b) OXP ≅ XOL

c) XO ≅ OX

d) reflexive property (i'm not sure about this one)

e) ΔXOP ≅ ΔOXL

f) cpctc

make sure to double check the fourth one

What is the answer and plz give me step by step explaining

Answers

Answer: 5/7

Explanation:

You start with 6 + 8(x - 1) = 2(3x + 4)
Wow. That looks like a lot, so you need to take it one step at a time. Because of PEMDAS (Please Excuse My Dear Aunt Sally), which gives us the order of Parentheses (), Exponents(Baby Numbers), Multiply or Divide from left to right according to where it is in the problem, and Add or Subtract from left to right according to where it is in the problem, you need to look at your parentheses first. Let’s start with
8(x - 1). 8 is touching those parentheses all by itself, so it’s being multiplied with the stuff in the parentheses. 8 times x is 8x and 8 times 1 is 8. That gives you

6 + 8x - 8 = 2(3x + 4)

Do the same thing with 2(3x + 4). 2 is touching those parentheses all by itself so you multiply it by the stuff inside to get 6x + 8. You now have

6 + 8x - 8 = 6x + 8

But where do we go from here? Okay well what you’re trying to do is get a single x by itself on one side of the equals and the answer on the other side. So, we have

6 + 8x - 8 = 6x + 8

Let’s start on the left side with 6 + and - 8. If you have 6 and you take 8 away, you can’t because you’ll still need 2, so 6 - 8 = -2. That leaves you with

8x - 2 = 6x + 8

Then, you take the 6x from the right side and add it to the 8x on the left. You have 14x. This gives you

14x - 2 = 8

Look at -2. We want to get rid of that, so we would do the opposite of - which is + so we would add.

14x - 2 = 8
+ 2 + 2
——————
14x = 10

Now look at 14x, which is the same as 14 times x. The opposite of multiplying is dividing so divide.

14x = 10
/14 /14

X = 10/14 which simplifies into 5/7

Which equation could generate the curve in a graph below?

Answers

pretty sure its the 3rd one

Uhh maybe 3? I think???

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