For every 1 litre of water used to make a medicine, 150 ml of sucrose and 600ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.

Answer:

Step-by-step explanation:

40 : 30 = x : 63 ⇒ x = (40*63)/30 = 84

y = 59°

Answer:

y = 29 degrees

Step-by-step explanation:

5y + 35 = 180

5y = 145

y = 29

Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

Answer: 72 grams of tea

Step-by-step explanation:

From the question, we are informed that Yvette uses 6grams of tea leaves to make 24 fluid ounces of tea. This means that for 1 gram of tea leaves, she'll use:

= 24/6

= 4 fluid ounces of tea

Since, 1 gram of tea leaves will be used to make 4 fluid ounces of tea, therefore, the number of grams of tea leaves that will be used to make 288 fluid ounces of tea will be:

= 288/4

= 72 grams of tea

Answer:

her grocery bill was $34

Step-by-step explanation:

x = grocery bill

.10x = 3.40

divide by .10

x= $34.

Answer:

A

Step-by-step explanation:

I think this Information is correct:

The relation is a function if each value of x has ONLY one value of y.

Ex: The set {(3, 5) , (-2, 1) , (4, 3)} represents y as a function of x because x = 3 has only y = 5, x = -2 has only y = 1, x = 4 has only y = 3

The set {(4, 5) , (-2, 1) , (4, 3)} does not represent y as a function of x because x = 4 has two values of y 5 and 3

A. Multiple values of X, 1 value of Y.

B. 1 value of X, 1 Value of Y.

C. 2 values of X, no values of Y.

D. No values of X, 4 values of Y.

Answer:

no. i think that is weird-ish.

Step-by-step explanation:

Step-by-step explanation:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Answer:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Step-by-step explanation:

I did this so you can mark the other guy brainliest, its their answer and they deserve all the credit. Make sure to thank them!

Answer:

0.36

Step-by-step explanation:

Answer:

p=  1/3

​ =0.333

Step-by-step explanation:

Simplifying

6 + -9(4p + -3) = 2(6p + 7) + 3

Reorder the terms:

6 + -9(-3 + 4p) = 2(6p + 7) + 3

6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3

6 + (27 + -36p) = 2(6p + 7) + 3

Combine like terms: 6 + 27 = 33

33 + -36p = 2(6p + 7) + 3

Reorder the terms:

33 + -36p = 2(7 + 6p) + 3

33 + -36p = (7 * 2 + 6p * 2) + 3

33 + -36p = (14 + 12p) + 3

Reorder the terms:

33 + -36p = 14 + 3 + 12p

Combine like terms: 14 + 3 = 17

33 + -36p = 17 + 12p

Solving

33 + -36p = 17 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.

33 + -36p + -12p = 17 + 12p + -12p

Combine like terms: -36p + -12p = -48p

33 + -48p = 17 + 12p + -12p

Combine like terms: 12p + -12p = 0

33 + -48p = 17 + 0

33 + -48p = 17

Add '-33' to each side of the equation.

33 + -33 + -48p = 17 + -33

Combine like terms: 33 + -33 = 0

0 + -48p = 17 + -33

-48p = 17 + -33

Combine like terms: 17 + -33 = -16

-48p = -16

Divide each side by '-48'.

p = 0.3333333333

Simplifying

p = 0.3333333333

Answer: Emma didnt do rise over run

Step-by-step explanation:

Emma started on the right y-intercept which was -1, but she needed to do rise over run which means she would need to go up 2 and over 1.   Instead, Emma went over 2 and up 1.

Answer:

y=2x+10

Step-by-step explanation:

First, let's put the equation into slope-intercept form. We get y=2x-3/2.

Parallel lines have the same slope, so the slope of the line will be 2.

We then substitute the point into the equation to find the y-intercept.

We get y=2x+10

Hope this helps :-)

Answer:

y = 3.5x

Step-by-step explanation:

y=mx+b. given the points (0,0) and (2,7), you solve using y2-y1 / x2-x1 to find slope. This equals 7/2 which = 3.5. Then just put it into equation form of y=mx+b. But, our b is 0 so your equation just becomes y=3.5x

Answer:

I know a bit about Angle Bisectors. (the line that splits an angle into 2 equal angles)

Answer:

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

Hope this helps :)

Answer:

(c) 1

Step-by-step explanation:

[tex] \sin \: A = \cos(2A - 45 \degree) \\ \\ \cos(90 \degree - A )= \cos(2A - 45 \degree) \\ \\ 90 \degree - A = 2A - 45 \degree \\ \\ 90 \degree - 45 \degree = 2A -A \\ \\ 45 \degree = A \\ \\ A = 45 \degree \\ \\ \tan \: A = \tan \: 45 \degree \\ \\ \huge \red{ \boxed{\tan \: A =1}}[/tex]

Answer:

6436

Step-by-step explanation:

because yes

This is what the steps look like when we complete the square

x^2 - 6x + 6 = 0

x^2 - 6x = -6

x^2 - 6x + 9 = -6+9

(x-3)^2 = 3

We add 9 to both sides so that we can factor x^2-6x+9 into (x-3)(x-3) = (x-3)^2

To get the 9, we cut the -6 (from -6x) in half to get -6/2 = -3. Then we square that to get (-3)^2 = 9

It might help to look at (a+b)^2 = a^2+2ab+b^2 and note the relationship between 2ab and b^2.

Answer:

30.807

Step-by-step explanation:

$4.89 x $6.3= 30.807

Answer:

Reflexive property

Step-by-step explanation:

Reflexive property is when the value equals its self and they just commuted the letters.

Hope I explained it well I am bad at explaining things lol

Answer:

5. -3, -2/3

Step-by-step explanation:

5.

6x-4y=18

-x-6y=7        multiply this equation by 6 both sides

6x-4y=18

-6x-36y=42  add both equations

-4y-36y=18+42 combine like terms

-40y=60 so y = -4/6= -2/3

subtitute y=-2/3 in -x-6y=7

-x-6*(-2)/3=7 solve

-x+4=7 subtract 4 from both sides

-x=7-4

x= -3

8.

substitute y=4x+5 in to the second equation

12x-3(4x+5)=9

12x-12x-15=9

-15=9 is never true so the equation has no solutions

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of cos(x/2) is required.

The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

The given value is

[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.

From trigonometric identities we have

[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrant III so,

[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]

[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Since, x/2 lies in the second quadrant and cos (x/2) is negative.

The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Learn more about trigonometry:

https://brainly.com/question/24349828

Answer:

B

Step-by-step explanation:

Got it right on the quiz:)

Answer:

-2m -5n = 7m - 3n

<=> -5n + 3n = 7m + 2m

<=> -2n = 9m

<=> m = [tex]\frac{-2}{9}n[/tex]

Step-by-step explanation:

Answer:

n = -9/2m

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form

Answer:

C: pi/4<x<5pi/4

Step-by-step explanation:

I just did the test

The solution of the trigonometric inequality will be equal to π / 4.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,

3 - tanx ≥ 4 - 2tanx

2tanx - tanx ≥  4 - 3

tanx ≥ 1

tanx ≥  tan(π/4)

x ≥ (π/4)

Therefore, the solution of the trigonometric inequality will be equal to π / 4.

To know more about trigonometry follow

https://brainly.com/question/25275758

#SPJ2

Answer:

y = 4

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Set up equation

(8y - 2)° + 60° = 90°

Step 2: Solve for y

Answer:

Step-by-step explanation:

9) PQR Is an isosceles triangle

=> ∠PRQ = (180° - x)/2

PRS is an isosceles right triangle

=> ∠PRS = 45°

Have: ∠PRS + ∠PRQ = 115°

=> [tex]\frac{180-x}{2}+45=115 \\[/tex]

=> 180 - x = (115 - 45).2 = 140

<=> x = 180 - 140 = 40

10) ABD is an isosceles right triangle => ∠ABD = 45°

BCD is an equilateral triangle => ∠CBD = 60°

have: x = ∠ABD + ∠CBD = 45° + 60° = 105°

11) have: x = y (2)

PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40

QTS   is an isosceles triangle => ∠TQS = 180 -2x

QRS   is an isosceles triangle => ∠RSQ = y

have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)

(1)(2) => [tex]\left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.[/tex]

=> x + y = 80

12) EFJ Is an equilateral  triangle => ∠FJE = 60

∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle

=> 60 = 2.∠JHF => ∠JHF = 30°

∠JHF is the outer angle of the triangle FHG

=> 30° = 2x

<=> x = 15°