jess makes salad dressing by mixing lemon juice and olive oil in the ratio 2:5 by volumr.me. shes uses 0.5 litres of lemon juice. work out how much olive oil she uses to make the salad dressing.

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

Answer:

y= -6

Step-by-step explanation:

-4y - 20 + 19 = -y + 17        *add y on the right to get rid of -y

+y                    +y                then add it to -4y

-3y - 20 + 19 = 17               *add 20 to the left to get rid of -20  

     +20           +20              then add it to 17

-3y + 19 = 37                      *subtract 19 from the left to get rid of 19

       -19    -19                      then subtrcat 19 from 37 as well

-3y = 18                             *now we want to divide both sides by -3 to

-3      -3                               get y by it's self

y = -6                                *no we're left with y = -6 :D

- im sorry if this doesn't make sense x(

this is for the Sin

*Remember that sin = opposite / hypotenuse*

a² + b² = c² (where a and b are legs and c is the hypotenuse)

From the picture, you can see:

a = 3

c = 4

Plug these into the equation and solve for b.

* a² + b² = c² *

step 1: 3² + b² = 4²

step 2: 9 + b² = 16

step 3: b² = 16 - 9

step 4: b² = 7

step 5: √(b²) = √7

step 6: b = ± √7

FOR COS:

From the picture,  you can see that if θ is in quadrant II, b has to be negative.

b = -√7 = adjacent

Remember that cos θ = adjacent / hypotenuse.

cos θ = adjacent / hypotenuse

cos θ = (-√7 / 4)

Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

Answer:

-0.0936538462

Step-by-step explanation:

Start by solving the right side of the equation

1 - 2.87 = -1.87

now we have:

3 + 5.2c = -1.87

subtract 3 from both sides to get:

5.2c = -4.87

divide both sides by 5.2 to get:

-0.0936538462

hope that's what you're looking for! :)

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Answer:

C

Step-by-step explanation:

I hope this helps!! Feel better

Answer:

144

Step-by-step explanation:

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

555555

Step-by-step explanation:

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Answer:

hi

Step-by-step explanation:

28.5

Answer:

15

Step-by-step explanation:

Answer:

The answer is 5/6

Step-by-step explanation:

7/12 + 3/12 = 10/12

10/12 = 5/6 ( divide the numerator and denominator by 2)

Answer:

(5x+7)(25x^2-35x+49)

Step-by-step explanation:

Not really an explanation for factoring, but I'm sure it's right.

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

yes , the coach break the speed limit and the average speed is 96 km ph

Speed is the time rate at which an object is moving along a path

Given,

A coach travels to the beach which is 576 KM away in 6 hours.

The maximum speed he can travel is speed of 90 kph

We need to check whether the coach breaks the speed limit or not.

Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.

and the average speed he has to maintain is 576/6

96kmph

Hence, yes the coach break the speed limit and the average speed is 96 km ph

To learn more on Speed click:

https://brainly.com/question/28224010

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Answer:

you can count by groups of 9 and there would be 4 groups

9 + 9 + 9 +9 = 36 and 36/9 = 4

Answer:

e = 10

Step-by-step explanation:

Simplifying

0.5e + 20 = 25

Reorder the terms:

20 + 0.5e = 25

Solving

20 + 0.5e = 25

Solving for variable 'e'.

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

Add '-20' to each side of the equation.

20 + -20 + 0.5e = 25 + -20

Combine like terms: 20 + -20 = 0

0 + 0.5e = 25 + -20

0.5e = 25 + -20

Combine like terms: 25 + -20 = 5

0.5e = 5

Divide each side by '0.5'.

e = 10

Simplifying

e = 10

Answer:

e = 1

Step-by-step explanation:

0.5e + 20 = 25

0.5e = 5

e = 1

You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1

pls give brainliest!!

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

Answer:

The measure of JHK is 25 degrees

Step-by-step explanation:

If GHI is equilateral, it means each of the angles are equal to 60 degrees

Thus;

7x - 31 = 60

7x = 60 + 31

7x = 91

x = 91/7

x = 13 degrees

The measure of JHK IS x + 12

simply insert the value of x here

Angle JHK = 13 + 12

Angle JHK is 25 degrees

Answer: 25

Step-by-step explanation:

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

Answer:

A D

Step-by-step explanation:

Since it is a one time fee of 55$, that will be our y intercept.

That allows A and D and F possible answers.

It says 10$ per puzzle and they spent 1245$

So A and D are answers.

Answer:

Step-by-step explanation:

x = (20 + 12)/2

x = 32/2

x = 16

Answer:

17

Step-by-step explanation:

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation: