Juanita works in a bakery. She uses 10 eggs to make 3 cakes, 16 eggs to make 5 cakes, and 25 eggs to make 8 cakes. What rule does Juanita follow when she bakes cakes?


A. c = 3e + 4

B. e = c + 7

C. e = 3c + 1

D. c = 3e + 2

Answer:

We conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

Step-by-step explanation:

Given the equation

x = 2a - b²

Let us solve the equation to solve for 'a'

[tex]x=2a-b^2[/tex]

switching sides

[tex]2a-b^2=x[/tex]

Add b² to both sides

[tex]2a-b^2+b^2=x+b^2[/tex]

Simplify

[tex]2a=x+b^2[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]

Simplify

[tex]a=\frac{x+b^2}{2}[/tex]

Therefore, we conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

Answer:

m = £122

Step-by-step explanation:

m = w - t

Where,

m = money Paul had to spend each week (£)

w = Paul's wage (£)

t = tax paid on his income (£)

If w = £160 and t = £38

Find m

m = w - t

= £160 - £38

= £122

Paul has £122 to spend if he earns £160 a week and pays £38 in tax

Answer:

it is a number that is a infinite in its size (infintely big,infintely small, ect.)

Step-by-step explanation:

a great example of this is the number 0

Answer:

0.768 would be the amount of pretzels in ounces

Step-by-step explanation:

24% of 32 =0.768

how i got 24%?

24% of 100= 24

feel free to like and give brainliest

Answer:

D

Step-by-step explanation:

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

Answer:

100÷170×85=$50

85-50=$35

Answer:

The answer is "9".

Step-by-step explanation:

Given equation:

[tex]\to 35-4x=-1 \\\\\to 35+1 = 4x\\\\\to 36=4x\\\\\to 4x= 36\\\\\to x=\frac{36}{4}\\\\\to x=9[/tex]

Answer:

If Union and Clayton are 8 km apart, it means they are 8 cm far apart on the map.

Step-by-step explanation:

Map scale = 4 cm : 4 km

Hence,

Given that Union and Clayton are 8 km apart.

Therefore, if Union and Clayton are 8 km apart, it means they are 8 cm far apart on the map.

Answer:

El período de rotación de la luna no siempre era igual a su órbita alrededor del planeta. Al igual que la gravedad de la luna afecta las mareas del océano en la Tierra, la gravedad de la Tierra afecta a la luna. Pero debido a que la luna carece de un océano, la Tierra tira de su corteza, creando un maremoto en la línea que apunta hacia la Tierra.

Step-by-step explanation:

Answer:

Porque la gravidad de la tierra es mas fuerte que la gravidad the la luna.

Step-by-step explanation:

Answer:

I think its 1/3

Step-by-step explanation:

The determinant of a 2x2 matrix is defined as

[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]

So, in your case, the determinant is

[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]

Given matrix is:

As we know that,

→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]

then,

The determinant will be:

= [tex]2\times 4-1\times 3[/tex]

= [tex]8-3[/tex]

= [tex]5[/tex]

Thus the above response is correct.

Learn more about determinant here:

https://brainly.com/question/20333341

Answer:

the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4

Step-by-step explanation:

Answer:

The answer is 425

Step-by-step explanation:

Place value would be...

400

20

5

or 400+20+5

Sorry I couldn't help too well!

Hope this helps!! Brainliest is appreciated!! Happy Holidays!!!

Answer:

D) 132

Step-by-step explanation:

y + 3x  =  180    {Co interior angles}

        y = 180 - 3x    ------------(I)

7x + 20 = y       {Vertically opposite angles}

7x + 20 = 180 - 3x   {From equation (I)}

7x + 3x +20 = 180

       10x + 20 = 180

            10x  = 180 -20

              10x = 160

                 x = 160/10

                x = 16

Plug in x = 16 in equation (I)

y = 180 - 3x

  = 180 - 3*16

  = 180 - 48

y = 132

Answer:

it's answer is B. 9/100

Answer:

A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where:

(h,k) is a point through which the line passes.

The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.

Two perpendicular lines with slopes m1 and m2 satisfy the equation:

[tex]m_1m_2=-1[/tex]

We'll find the slope m1 of the given line and then solve the above equation for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]

Now we calculate the second slope:

[tex]\displaystyle m_2=-\frac{1}{2}[/tex]

We use the point-slope form, given the point (6,-7):

[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]

Operating the parentheses:

[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]

Simplifying:

[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]

A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]

Consider the attached diagram. Segment KO is an altitude of the triangle, so KO ⊥ LM. ∠L has measure 180° -105° -30° = 45°, so ΔKOL is an isosceles right triangle.

If we let segment LO have measure 1, then KO also has measure 1 and KL has measure √(1²+1²) = √2 by the Pythagorean theorem.

ΔKMO is half of an equilateral triangle, so KM has measure 2, and MO has measure √(2²-1²) = √3 by the Pythagorean theorem.

Then the ratio of KM to LM is 2:(1+√3) and the ratio of KL to LM is √2:(1+√3). That is, ...

... KL = LM×(√2)/(1+√3) = (20√3)(√2)/(1 +√3)

... KL = (20√6)/(√3 +1) = (20√6)(√3 -1)/(3 -1) . . . . . with denominator rationalized

... KL = 30√2 -10√6 ≈ 17.9315

and

... KM = LM×2/(1+√3) = KL×√2

... KM = (30√2 -10√6)√2

... KM = 60 -20√3 ≈ 25.3590

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

The Law of Sines tells you ...

... KL/sin(M) = KM/sin(L) = LM/sin(K)

Then ...

... KL = sin(M)·LM/sin(K) = sin(30°)·20√3/sin(105°) ≈ 17.9315

... KM = sin(L)·LM/sin(K) = sin(45°)·20√3/sin(105°) ≈ 25.3590

Answer:

Step-by-step explanation:

Since m∠1 = m∠2, KF is angle bisector of ∠K

In the ΔKFM we have:

Using low of sines:

Answer:

$48. is correct answer friend

Step-by-step explanation:

OK please follow me

Answer:

b

Step-by-step explanation:

son

Answer:

6 * 42 = 6 * (20 + 22)

= (6 * 20) + (6 * 22) = 120 + 132 = 252

Step-by-step explanation:

Here, we want to multiply 6 by 42 using distributive property

In this case, we can have the distributive property as;

a * ( b + c) = ab + bc

Thus, we can represent 42 as (20 + 22)

so 6 * 42 becomes 6 * (20 + 22)

Using the distributive property, we have

(6 * 20) + (6 * 22)

= 120 + 132 = 252

Answer:

12.5

Step-by-step explanation:

for people who don't get another  quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.

Ounces of yogurt need for 10 ounces of blueberries is 8 ounce

Ratio of ounces of blueberries to ounces of yogurt = 4:5

Ounces of yogurt need for 10 ounces of blueberries

Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]

Ounces of yogurt need for 10 ounces of blueberries = 2[4]

Ounces of yogurt need for 10 ounces of blueberries = 8 ounce

So, Option "A" is the correct answer to the following question.

Learn more:

https://brainly.com/question/19833884?referrer=searchResults

Answer:

3

Step-by-step explanation:

the perpendicular slope is the negative reciprocal.

-1 divided by -1/3 = 3

Answer:

it 2 parts away

Step-by-step explanation:

Answer:

(0,0)  (20, 10)  (40,10)   (60,40)  (100,0)

 A          B           C            D           E

Step-by-step explanation:

Answer:

Step-by-step explanation:

48/6.19=7.7544

Round that answer so it’s 7.75

Unit rate is $7.75 per ounce

Answer: it B

Step-by-step explanation: if it wrong sorry and please don't report me

Answer:

17/8

Step-by-step explanation: