Please help! i'll mark brainliest <33

Josie is making pizza dough. Complete the double number line by filling in the missing values. Then write an equation that model

coldgirl [10]

Answer:

First part:

To complete the top number line use the numbers

$1\dfrac{1}{2}$

and

$2\dfrac{1}{4}$

To complete the bottom number line use the numbers:

3, and

4

Second part:

The relationship between the total cups of flour, c, and number of batches n, is:

$c=\dfrac{3}{4}n$

Explanation:

Find the complete question if the file attached.

First part.

The number line on top shows the number of cups of flour, c.

Each mark corresponds to 3/4 of cups. Thus the numbers that complete the number line are:

$\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{6}{4}=\dfrac{4}{4}+\dfrac{2}{4}=1+\dfrac{1}{2}=1\dfrac{1}{2}$

$1\dfrac{1}{2}+\dfrac{3}{4}=1+\dfrac{1}{2}+\dfrac{3}{4}=\dfrac{4}{4}+\dfrac{2}{4}+\dfrac{3}{4}=\dfrac{9}{4}=\dfrac{8}{4}+\dfrac{1}{4}=2+\dfrac{1}{4}=2\dfrac{1}4}$

The the two numbers that complete the top number line are:

$1\dfrac{1}{2}$

and

$2\dfrac{1}{4}$

The bottom number line models the number of batches of dough, n.

Each mark corresponds to one unit, i.e. one batch.

Thus, the missing values are:

2 + 1 = 3, and

3 + 1 = 4.

Second part. Find the relationship between the total cups of flour, c, and number of batches n.

The relationship is indicated by the marks that are at equivalent position:

You can notice that you must multiply the number of batches, n, by 3/4 to get the number of cups of flour, c, that correspond to the same position:

For instance:

$1\times \dfrac{3}{4}=\dfrac{3}{4}$

$4\times \dfrac{3}{4}=3$

Therefore,

$c=\dfrac{3}{4}n$

5 0

3 years ago

In △ABC the points M and N belong to the sides AC and AB respectively. AM= 1/3 AC, AN= 1/3 AB, BC=15. Find MN

Oliga [24]

$Answer: \\ We \: have \: \frac{AM}{AC} = \frac{1}{3} , \frac{AN}{AB} = \frac{1}{3} ,\hat{A} \: is \: a \: shared \: angle \\ \Rightarrow \bigtriangleup AMN \cong \bigtriangleup ACB \\ \Rightarrow MN = \frac{1}{3} BC = \frac{1}{3} \times 15 = 5$

8 0

3 years ago

For the quadratic equation, state the axis of symmetry, vertex, and any intercepts.

dusya [7]

Answer:

Axis of Symmetry is x = 2

Vertex is (2, -9)

X Intercepts are (5, 0) and (-1, 0)

Step-by-step explanation:

Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a

a=1

b=-4

c=-5

--4/2(1) = 2

Plugin to find the y value of the vertex.

2^2-4(2)-5=y

4-8-5=y

y = -9

The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2

Factor the equation to put into intercept form.

(x-5)(x+1) = y

The equation can be FOIL-ed to get back to standard form.

Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.

For (x-5) your intercept is (5, 0)

For (x+1) your intercept is (-1, 0)

The x intercepts are where the parabola will cross the x axis on the graph.

3 0

4 years ago

What are geometric transformations? Define each one

Flura [38]

Transformations include for four specific ways to manipulate the shape of a point, a line, or shape. The definition of one which would be ,translation,<span> is a term used in geometry to describe a function that moves an object a certain distance.</span>

6 0

3 years ago

How many are 4 x 4 ?

Maslowich

16, think of 4 plus 4 plus 4 plus 4.

3 0

4 years ago