My cookbook says that a salad sauce should be made of 1/3 lemon juice and
2/3 oil. I put 30 ml of oil but my hand slipped when adding the lemon juice
and the total volume is now 70.
How much oil must I now add to have the correct proportions?

Answer: y = -3.5x + 10 so C.

Step-by-step explanation: We’re in same class and I got that right :) lmk if you need help or answers .

The simplest form of the given expression is c(1+0.065). Therefore, option D is the correct answer.

Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.

Given that, Hideki buys a skateboard that costs c dollars.

After 6.5% sales tax is added, the total cost can be expressed by the expression c +0.065c

The simplest form of the expression is

c +0.065c

= c(1+0.065)

= c(1.065)

= 1.065c

The simplest form of the given expression is c(1+0.065). Therefore, option D is the correct answer.

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Answer:

D. Infinite solutions

Step-by-step explanation:

You divide the 2nd equation by 4.

3x - 2y = 4

(12x - 8y = 16)/4

3x - 2y = 4

3x - 2y = 4

This is exactly the same equation which means that the lines are forever intersecting which means that it has INFINTE solutions.

Answer:

sorry i dont understand  you  

Step-by-step explanation:

Answer:

the letter choice "B"

Step-by-step explanation:

it repeats the x axis

Answer:

x = 16°

Step-by-step explanation:

The triangles are approximately congruent

90 + 66 = 156

180 - 156 = 24

(x + 8) = 24

x = 16°

check

(16 + 8) = 24

90 + 66 + 24 = 180

Answer: x=16

Explanation:

The triangles shown are congruent and both of the triangles should have the sum of the angles as 180°. The equation should be (x+8)+66+90=180. Add the like terms to result with x+164=180. Subtract 156 to both sides to result with x=16.

Answer:

B  = y - mx

  = 2 - (1/2)(-4)

 = 2 - -2

 = 4

y = (1/2)x + 4

Step-by-step explanation:

Answer:

You can choose the equation that you are familiar with.

[tex]y - 2 = \frac{1}{4} (x + 4)[/tex]

or

[tex]y = \frac{1}{4} x + 3[/tex]

Step-by-step explanation:

I'm not sure which formula you'd like me to use so I'll do both formula, the point-slope form and slope-intercept form.

We will be doing point-slope form first.

This is the point-slope form:

[tex]y - y_1 = m(x - x_1)[/tex]

Since we already have the given information needed (the slope and the points), we just need to plug in.

[tex]y - 2 = \frac{1}{4} (x + 4)[/tex]

Done!

-----------------------------------------------------

Let's do slope-intercept form now.

The is how the slope-intercept form looks:

[tex]y = mx + b[/tex]

Even though we have some given information, we need to acquire more, the b, also known as the y-intercept (the m, is also known as the slope.).

Let's find it by plugging in and solving the equation.

[tex]y = mx + b \\ 2 = \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: \: \: \: }{3 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]

We found b (y-intercept), so now all we gotta do Is plug in for the final equation!

[tex]y = \frac{1}{4} x + 3[/tex]

Done!

Answer:

the answer is 29° because you have to subtract 61 from 90 nad you get 29.

Answer:

X = 29°

Step-by-step explanation:

You know that the whole thing equals a 90° angle, and you know that there is a 61° angle, so just simply subtract 90 from 61

Therefore, your answer is 29°

Answer:

3

Step-by-step explanation:

degrees add up to 180 so you add 8 + 48 and that equals 56 so you divide 180 by 56 and that equals 3.21 but you round down and it's just 3

Answer:

1[tex]\frac{15}{23}[/tex]

Step-by-step explanation:

38 ÷ 23 = [tex]\frac{38}{23}[/tex]

Since 38 is bigger than 23, you can pull a [tex]\frac{23}{23}[/tex] from [tex]\frac{38}{23}[/tex].

[tex]\frac{38}{23}[/tex] = [tex]\frac{23}{23}[/tex] + [tex]\frac{15}{23}[/tex]

[tex]\frac{23}{23}[/tex] is basically one whole, so you can put the answer as a mixed number.

[tex]\frac{23}{23}[/tex] + [tex]\frac{15}{23}[/tex] = 1 + [tex]\frac{15}{23}[/tex]

          = 1[tex]\frac{15}{23}[/tex]

Answer:

117649

Step-by-step explanation:

hope this helps :)

Answer:

117649

Step-by-step explanation:

Answer:

4 + 9i

Step-by-step explanation:

A complex number consists of a real part and an imaginary part, that is

z = x + yi ( x is the real part and yi the imaginary part )

A complex number does not exist in the set of real numbers.

Answer:

4 + 9i

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Since the ladder, wall, and ground form a right triangle, you can use this formula:

A squared + B squared = C squared

A = 7 feet

C = 25 feet

B = distance the ladder will reach

49 + B squared = 625

B squared = 625 - 49

B = square root of 576

B = 24 feet

Answer:

24 feet

Step-by-step explanation:

Answer:

D. NEITHER

Step-by-step explanation:

The triangle in the question has 2 angles, 62 degrees and 52 degrees.

3 angles add up to 180 degrees, so missing angle is

62+52 +x = 180

180 - 114 = 66 degrees

None of the triangles have the same angles, thus none of similar.

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Answer:

D) neither

Step-by-step explanation:

Because

Answer:

7 days

Step-by-step explanation:

14/2=7

14 divided by 2 equals 7 days because she buys 2 postcards each day and she bought a total of 14 postcards.

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B +  90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

Answer:

Step-by-step explanation:

y - 3 = 1/2(x - 0)

y - 3 = 1/2x - 0

y = 1/2x + 3

Answer:

y - 3 = 5/3(x - 6)

General Formulas and Concepts:

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (9, 8)

Point (6, 3)

Step 2: Find slope m

Step 3: Write function

Slope m = 5/3

Point (6, 3)

Answer: -8 through -∞, so -8>x>-∞

Step-by-step explanation: This is pretty simple, as this means any number between -8 and -∞.

Answer:

[tex]y= \frac{-5}{4}x -4[/tex]

Step-by-step explanation:

using pt-slope form, we get  [tex]y - (-9) = \frac{-5}{4}(x-4)[/tex]. Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into [tex]y = \frac{-5}{4}x + 5[/tex] by factoring -5/4 into (x-4) and subtracting 9 from both sides.

Answer:

c

Step-by-step explanation:

because it a custom made

Answer:

B

Step-by-step explanation:

ok so since the two pieces added together just be 96 inches, we know that

x+y=96

that already eliminates everything but B.

let's keep going though.

let's have y be the piece that is 6 inches longer than double the length of the other piece.

y=2x+6

Answer:

255 added

Step-by-step explanation:

1700 x 55% = 935

1700 x 40% = 680

935 - 680 = 255

There are 255 more category of 1 tickets are added.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of seats in a theatre = 1700

And, 40% of the tickets to a concert at the theatre are category 1 tickets and the rest are of other categories.

The organizer decides to change some tickets from the other categories to category 1.

Now,

Number of category 1 tickets = 40% of 1700

                                             = 40/100 x 1700

                                            = 40 x 17

                                            = 680

And, The number of tickets of other categories = 55% of 1700

                                                                         = 55/100 x 1700

                                                                         = 55 x 17

                                                                         = 935

So, Number of added tickets of category 1 = 935 - 680

                                                                 = 255

Thus, There are 255 more category of 1 tickets are added.

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Answer:

6

Step-by-step explanation:

you can connect opposite vertices and opposite sides

Answer:

6

Step-by-step explanation:

Answer:

A, no B, no, C, yes

Step-by-step explanation:

A. is not equivalent while b and c are equivalent.

a. isn't equivalent because 3/4 with the denominator of 12 is 9/12. Therefore, 9/12 isn't equal to 10/12.

b. is equivalent because -5/10 is shortened to -1/2. At the same time, -4/8 is also shortened to -1/2. Therefore, it is equivalent.

c. is equivalent as well because 10/8 into a mixed fractions is 1 2/8. Which simplified is equal to 1 1/4. Which, is equivalent to 1 1/4/

Hope this helped.

Answer:

Susan's brother is correct.

Step-by-step explanation:

Answer:

true, true, false, false

Step-by-step explanation:

a. when inside the parallel line it is interior and alternate on the line going through them

b. when outside the parallel line they are exterior amd alternate as the one before.

c. they are on the same side of the line going through the parallel lines.

d. when taking one angle and putting it of the other, its easier to tell if they match/ are the same angle