One serving of pancakes takes one and two thirds cups of milk how many cups of milk will 36 servings of pancakes require?

Answer:

y = [tex]\frac{2}{3}[/tex] x - 4

Step-by-step explanation:

Given y = f(x), then

y = f(x) + c represents a vertical translation

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Here the translation is 4 units down ⇒ c = - 4, thus

y = [tex]\frac{2}{3}[/tex] x - 4

The equation of a line y = 2/3x moved 4 units down would be y = 2/3x - 4.

In the case of a vertical translation, the equation of a line y = mx + b is altered by adding or subtracting a constant value, which moves the line up or down on the coordinate plane. For example, with the given equation of a line, y = 2/3x, to translate it 4 units down, we subtract 4 from y. Therefore, the equation for the vertical translation would be y = 2/3x - 4.

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You will have to use trig to solve this:

The side you have is adjacent to the known angle

The side you are looking for is opposite the known angle

^^^This means you need to use tan:

tan(24) = [tex]\frac{x}{12}[/tex]

.445222 = [tex]\frac{x}{12}[/tex]

^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x

5.3 ≈ x

Hope this helped!

In order to t² - t -2 = 0 become into this (t - 2)(t + 1) = 0, we have to know that a  polynomial of the form ax² + bx + c = 0 can be factored as a(x + r1)(x + r2) = 0, where r1 and r2 are the roots of the equation ax² + bx + c = 0 and we can find them using the Quadratic Formula.

Let's solve the equation step-by-step.

t² - t -2 = 0 has the form at² + bt + c = 0, so can be factored as a(t + r1)(t + r2) = 0. With a = 1, b = -1, and c = -2

Step 1. Use the Quadratic Formula to find the roots r1 and r2.

t =  −b ± √b²−4ac/2a

t = -(-1) ± √(-1)²−4(1)(-2)/2(1)

t = 1 ± √1+8/2

t = 1 ± √9/2 where r1 = 1 + √9/2 and r2 = 1 - √9/2

Step 2. Calculate the roots r1 and r2

r1 = 1 + √9/2 = 2

r2 = 1 - √9/2 = -1

Step 3. Write the factored equation a(t + r1)(t + r2) = 0, with a = 1 and the values of r1 and r2 with opposite signs.

1(t - 2)(t + 1) = 0

(t - 2)(t + 1) = 0

Answer:

h(1)= 1

h(4)=5

Step-by-step explanation:

Given

h(x)= x^3 for 1≤x≤3

and

h(x)=5 x>3

Now finding h(1), i.e when x=1

x=1 lies in the range 1≤x≤3 hence putting value x=1 in x^3

h(1)= 1^3

     = 1

Now finding h(4), i.e when x=4

x=1 lies in the range x<3 hence putting value x=4 in h(x)=5

h(4)= 5 !

Answer:

Graph B

Step-by-step explanation:

We are given 4 graphs.

We need to find the function graph which is positive of the entire interval [-3, -2]

It is a closed interval. So it is inclusive of -3 and -2

In these interval the graph of y value must be in positive region.

By looking at the graph, the graph B has positive y-values in the entire interval [-3, -2]

Therefore, the answer is Graph B)

Answer:

Graph 2 represents that the  function is positive for the entire interval [-3, -2].                      

Step-by-step explanation:

We are given four different graphs for different functions. We have to find the graph that is positive for the entire interval [-3,-2].

We make the following observation from the given graphs.

Thus, function in graph 2 is positive for the entire interval [-3, -2].

Answer:

The answer is 19.

Step-by-step explanation:

To find the range you have to subtract the lowest number and highest number in the data set.

19-0=19

Hope this helps.

The range of the given set {19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13} is 19, which is the difference between the largest (19) and smallest (0) values in the set.

The range of a set of numbers is the difference between the largest and smallest values in the set. To find the range of the given numbers {19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13}, follow these steps

Step 1: Arrange the numbers in ascending order: {0, 0, 0, 0, 0, 0, 2, 3, 12, 13, 13, 19}.

Step 2: Find the smallest value: 0.

Step 3: Find the largest value: 19.

Step 4: Calculate the range: Largest value - Smallest value = 19 - 0 = 19.

The range of the given numbers is 19.

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The correct answer is B

Answer:

a. 1/27

Step-by-step explanation:

When dividing exponents and the base is the same, we subtract them

x^a/ x^b = x^(a-b)

3^3/3^6

3^(3-6)

3^(-3)

The negative exponent means it is in the denominator

1/3^3

1/27

X multiplied by the side labeled 5 is equal to the line labeled 9 multiplied by the line labeled 5.1

9 x 5.1 = 45.9

x = 45.9 / 5

x = 9.18

x = 9.2

Answer:

Step-by-step explanation:

The average number is given by :

[m + (m - 1200) + (m - 1200)(1.30 ] / 3   =

[ 2m + 1.30m - 1200 - 1560] / 3   =

[3.3m - 2760] / 3  =

[1.1 m  - 920 ]

Answer: x < -1

Remember:

Answer: D, or x<-1

Step-by-step explanation:

The arrow on the number line indicates the direction in which the set of numbers represented is going. In this case, the arrow is pointing in the negative direction from -1; so we know that it will be either x < -1 or x ≤ -1

The circle represents whether the set of points is inclusive or exclusive. This is an exclusive case, which means that the point x = -1 is not included in the set of points.

That's how we know the inequality represented by the graph is x < -1

Answer:

C

Step-by-step explanation:

This is saying sum 5 and a number and multiply the result by 4

let n be the number then 5 + n is the sum, and

4(5 + n) is 4 times the resultant sum

Answer:

Check 318 was not cashed or deposited.

Step-by-step explanation:

If you look at the check numbers, check number 318 was not used. Therefore that is why Larry's balance is different from the banks balance.

Answer:

Step-by-step explanation:

Option D. check 318 was not cashed or deposited.

Answer:

my answer is 34 r 18 I am guessing

Answer:

answer is $28.43

Step-by-step explanation:

You take $38.27x9. Then minus that answer minus $316

The first number is the X coordinate and the second number is the Y coordinate.

Looking left to right the lines intersect at X = 1

Looking up and down they intersect at Y = -3

The answer is C. (1,-3)

Answer:

3) 3a - 2 + 3 = -2

   3a            = -2 + 2 - 3 = -3

   a              = -3/3 = -1

4) m/-6 - 18 - 4 = -16

   m/-6             = -16 + 18 + 4 = 6

   m                  = 6 · (-6) = -36

5) x/-2 - 4 + 22 = -28

   x/-2              = -28 + 4 - 22 = -46

   x                   = -46 · (-2) = 92

6) -13 = 5 + 20m - 2m

   -13 = 5 + 18m

   -18 = 18m

   m  = -18/18 = -1

7) -2(2p - 1) = -14

   -4p + 2   = -14

   -4p          = -14 - 2 = -16

   p              = -16/(-4) = 4

8) -1(8x + 20) = 12

   -8x - 20      = 12

   -8x              = 12 + 20 = 32

   x                  = 32/(-8) = -4

9) -49 = 7(2x + 3)

   -49 = 14x + 21

   -14x = 49 + 21 = 70

   x                     = 70/-14 = -5

10) 3(8h - 4) + 17 = -19

     24h - 12 + 17 = -19

     24h               = -19 + 12 - 17 = -24

     h                   = -24/24 = -1

Answer:

Let's solve your system by substitution.

x=5;y=−7

Step: Solve x=5 for x:

x=5

Step: Substitute 5 for x in y=−7:

y=−7

y=−7

Answer:

x=5 and y=−7

x=3;y=2x−1

Step: Solve x=3 for x:

x=3

Step: Substitute 3 for x in y=2x−1:

y=2x−1

y=(2)(3)−1

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Let's solve your system by substitution.

y=6x+3;y=5x+4

Step: Solve y=6x+3 for y:

y=6x+3

Step: Substitute 6x+3 for y in y=5x+4:

y=5x+4

6x+3=5x+4

6x+3+−5x=5x+4+−5x(Add -5x to both sides)

x+3=4

x+3+−3=4+−3(Add -3 to both sides)

x=1

Step: Substitute 1 for x in y=6x+3:

y=6x+3

y=(6)(1)+3

y=9(Simplify both sides of the equation)

Answer:

x=1 and y=9

2x+3y=2;y=x−6

Step: Solve y=x−6 for y:

y=x−6

Step: Substitute x−6 for y in 2x+3y=2:

2x+3y=2

2x+3(x−6)=2

5x−18=2(Simplify both sides of the equation)

5x−18+18=2+18(Add 18 to both sides)

5x=20

divide both sides by 5

5x/5 and 20/5

x=4

Step: Substitute 4 for x in y=x−6:

y=x−6

y=4−6

y=−2(Simplify both sides of the equation)

Answer:

x=4 and y=−2

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

1213

Step-by-step explanation:

simplify

Answer:

1213

Step-by-step explanation:

5 • [(14 + 3 • 30) + 120] + 103 – 10

Evaluate 3*30 first

5 • [(14 + 90) + 120] + 103 – 10

Evaluate 14 + 90 = 104

5 * [104 + 120] + 103 - 10

5 * (224) + 103 - 10

5*(224) + 93

1120 + 93

1213

Answer:

20

Step-by-step explanation:

Patrica got 80% correct.  She missed 4 problems, so that must have been the remaining 20% of the test.

Therefore:

4 = 20% x

Percent means out of 100, so:

4 = (20/100) x

4 = 1/5 x

x = 20

There were 20 problems on the test.

Answer:

y=-4x-17

Step-by-step explanation:

You want to find the equation for a line that has a slope of -4 and a y-intercept of -17.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with -4, which is the slope you gave, and

replace b with -17, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of -4 and a y-intercept of -17 is:

y=-4x-17.

System of equations helps us to compare two real-life problems. The system of equations will have no solution.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

As the systems of two-equations are given, therefore, the two equations are:

Now, if we plot the two-equation on the graph, we will find that the lines of the two equations are parallel. therefore, the system of equations will have no real solution or will have no solution.

Hence, the system of equations will have no solution.

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Answer:

B. 1/6^9

Step-by-step explanation:

6^-2 = 1/6^2

1/6^2 * 6^5 = 6^5/6^2 = 6^3

6^(3 * -3) = 6^-9= 1/6^9

Answer:

Step-by-step explanation:

[tex]\left(6^{-2}\cdot6^5\right)^{-3}\qquad\text{use}\ a^n\cdot a^n=a^{n+m}\\\\=(6^{-2+5})^{-3}=(6^3)^{-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=6^{(3)(-3)}=6^{-9}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{6^9}[/tex]

Answer:

B) LM = JM = 3 and JK = LK = √17

Step-by-step explanation:

just took test, A is wrong, can i get brainliest please?

Answer:

B) LM = JM = 3 and JK = LK = √17

Answer:

c

Step-by-step explanation:

Both the events are equally likely so neither can be more likely.

The correct answer is: C Neither. Both events are equally likely.

Given that the probability of it snowing in Eastern Canada tomorrow is 0.4 and that of in Western Canada is 2/5,

We need to determine which of the given events is more likely,

To determine which event is more likely, we compare the probabilities provided for each event:

The probability of it snowing in Eastern Canada tomorrow is 0.4.

The probability of it snowing in Western Canada tomorrow is 2/5, which is equivalent to 0.4.

Since both probabilities are equal (0.4), we can conclude that both events, A (It snows in Eastern Canada tomorrow) and B (It snows in Western Canada tomorrow), are equally likely.

Therefore, the correct answer is: C Neither. Both events are equally likely.

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ANSWER

(-1,2)

EXPLANATION

The given quadratic expression is:

[tex]f(x) = {x}^{2} + 2x + 3[/tex]

The coefficient of the quadratic term is already 1.

So we add and subtract the square of half the coefficient of x.

[tex]f(x) = {x}^{2} + 2x + 1 - 1+ 3[/tex]

We factor the first three terms to obtain

[tex]f(x) =(x + 1)^{2} + 2[/tex]

This is now in the form:

[tex]f(x) = a({x - h)}^{2} +k[/tex]

where (h,k) which is equal to (-1,2) is the vertex.

Answer:

D. The graph of h is the graph of g shifted 2 units to the left and 5 units down.

Step-by-step explanation:

Graph:  h(x) = g ( x + 2 ) - 5

x + 2 means the graph is shifted to left by 2 units.

-5 means to shift the graph down by -2 units

so, the graph of h is the graph of g shifted 2 units to the left and 5 units down.

That answer is 180. The formula is a=bh1/2

Step-by-step explanation:

Volume of a rectangular prism is:

V = lwh

Given that l = 4½, w = 3½, and h = 6:

V = (4½)(3½)(6)

V = 94.5

The volume is 94½ cm³.

The formula for the volume of a rectangular prism is:

V = length x width x height

OR

V = l x w x h

You must plug in the values given in the equation

4[tex]\frac{1}{2}[/tex] x 3[tex]\frac{1}{2}[/tex] x 6

94 1/2 cm^3

Hope this helped!

~Just a girl in love with Shawn Mendes