The expression below shows how to convert 12 gallons to cups with one part missing

Which value completes the expression?

Answer:

Hello,

a)18

Step-by-step explanation:

[tex]p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}[/tex]

number of triangle=18

b)

Side of the equilateral triangle =2

Height=√3 (using Pythagorean's theorem) (tr ACP)

Triangle ABJ has the same area as the triangle ABC

Uisng Thalès's theorem,

[tex]\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\[/tex]

Answer:

Blank1: (-1/10)

Blank2: 1

Blank3: 5

Step-by-step explanation:

First we can see that numerator is equal to 1 in the last equation, so the second missing value is 1. Looking at the middle equation we can differ that the denominator is 10. This means the missing number in the third equation is equal to ten, so a*2=10, where the answer "a" is the missing value. Solve the equation by dividing both sides by 2 leaving a=5. Final step is to make 1/5+b=1/10, where ''b" is the answer for the first blank. Solve the equation by subtracting (1/5) from (1/10) leaving b=(-1/10)

Divide y by x:

32/4 = 8

40/5 = 8

56/7 = 8

72/9 = 8

The constant of proportionality is 8

Answer:

Divide y by x:

32/4 = 8

40/5 = 8

56/7 = 8

72/9 = 8

The constant of proportionality is 8

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Answer:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Step-by-step explanation:

Answer:

Step-by-step explanation:

Es cero

Answer:

I think its 7776v^11

Step-by-step explanation:

Answer:

216 a^6

Step-by-step explanation:

(6a^2)^3

We know (xy)^z = x^z * y^z

6^3  * a^2^3

216 a^2^3

We know x^y^z = x^(y*z)

216 a^(2*3)

216 a^6

Answer:

Generally, the higher the temperature, the larger the population.

Step-by-step explanation:

The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.

Answer:

26

is it direct or step by step?

The unit rate of change of d with respect to t is 8/3

The statement is given as:

increase of 3 units in t corresponds to an increase of 8 units in d.

This can be represented using the following ratio

t : d = 3 : 8

Express as fraction

t/d = 3/8

See attachment for the graph of t/d = 3/8

In (a), we have:

t/d = 3/8

Inverse both sides

d/t = 8/3

This means that:

Slope or Rate = 8/3

Hence, the unit rate of change of d with respect to t is 8/3

Read more about linear functions at:

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Answer:

(3² - 3) + (0x 2)

Step-by-step explanation

Answer:

45

Step-by-step explanation:

80%= 4/5

36 = 4/5 * ?

Take 4/5 on the other side and flip it

36 * 5/4 = ?

45=?

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

Answer:

-20/343

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Find the difference between the first and second points.

Since the x-coordinates are the ones changing, find the difference between them.

2 - (-3)

= 5

Then find the distance between the second and the third points.

Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.

2-(-5)

=7

Now add the distances (5+7) and you get 12.

hope this helps!!:)

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

Answer:

 -4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

[tex]0.75 \times 16 \\ = 12[/tex]

Answer:

12 ounces

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

linear inequality in the coordinate plane.

[tex]5x-y > -3[/tex]

which can be written as

-y > -3 -5x  

y < 3 + 5x ( standard way to express inequality )

Now , to get the points for  graph the inequality

We will treat inequality as equation

y = 3 + 5x

x                 y

0                 3

1                  8      

-1                 -2

-0.6             0

Now,

As per rule of graph the inequality

The boundary line is dashed for > and <  

and  If the symbol ≤ or < is used shade below the line.  

Therefore , graph the inequality is plotted accordingly .

Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

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Answer:

Slope m = -5

y intercept = 4

so the equation of the line is,

y = -5x+4

Plot two points, (0,4) and (1,-1)

then connect them, I've attached a graph, your graph should look like that

Answered by GAUTHMATH

Answer:

y=-5x+4

Step-by-step explanation:

y=mx+b

the slope is m

the y intercept is b

-5/1= one right and down 5

4 is the starting point on the y-axis (the vertical one)

Answer:

c

Step-by-step explanation:

the perimeter of the sector

Answer:

Sorry dont know :(

Step-by-step explanation: