3. One batch of pancakes needs 1 1/4 cups of pancake mix. One box has 9 cups of pancake mix How many batches of pancakes can be made with one box of pancake mix?​

The standard form of the equation, 3y = 9x -12, is -5x + y = 0.5. The correct option is the third option -5x+y=0.5

From the question, we are to write the given equation is standard form.

The given equation is

y = 5x + 0.5.

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

y = 5x + 0.5

Subtract 5x from both sides of the equation

y - 5x = 5x - 5x + 0.5

y - 5x = 0.5

Rewrite the equation, so that it would correspond to the standard form of a linear equation

-5x + y = 0.5

Hence, the standard form is -5x + y = 0.5

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The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).

A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.

The functions are given below.

f(x) = x

g(x) = -3f(x) + 1

g(x) = -3x + 1

The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.

The functions g(x) and f(x) are shown below.

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The quarterly interest rate is equal to 2.25%. This implies that Gavin is correct.

Mathematically, the compound interest on an investment can be calculated by using this formula:A(t) = P(1 + r/n)^{nt}

Where:A represents the future value.

r represents the interest rate.

n represents the number of times compounded.

P represents the principal.

T represents the time measured in years.

In this scenario, Gavin's savings account is compounded annually at an interest rate of 9%. This ultimately implies that, the equivalent quarterly interest rate would be calculated by dividing the annual interest rate of 9% by 4 as follows:

Quarterly interest rate = 9/4

Quarterly interest rate = 2.25%

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The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. We can define commutative property of addition as adding the numbers in any order will give the same answer.

a + b = b + a

3(2x8) + 7 = 7 + 3(2x8)

The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

a(b x c) = (a x b) c

7 + 3(2x8) = 7 + (3.2)8

Therefore, the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

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Answer:13

Step-by-step explanation:

g(1)=2(1)^2-1= 1

g(6)=2(6)^2-6=66

66-1/6-1=13

Answer:

y = ±√100-x

Step-by-step explanation:

To work out the inverse of this function :

We solve for x then swap x and y :

Solving for x :

y = 100 - x²

Add x² to both sides :

x² + y = 100

Subtract y from both sides :

x² = 100-y

Square root both sides :

x = ±√100-y

Now we have solved for x. Now swap x and y :

y = ±√100-x

This is our final answer and is the first option.

Hope this helped and have a good day

Answer:

5 pounds

Step-by-step explanation:

1 kg = 2.205 lbs.

2.25×2.205

⇒4.96125

Answer:

a) 24 minutes

b) 20 mph

Step-by-step explanation:

  time= 12 min

         [tex]\sf = \dfrac{12}{60} \ hour[/tex]

 speed = 60 mph

[tex]\sf \boxed{distance =speed * time}[/tex]

                [tex]\sf = 60 * \dfrac{12}{60}\\\\ = 12 \ m[/tex]    

a) Speed = 30 mph

      [tex]\sf \boxed{time = \dfrac{distance}{speed}}[/tex]

               [tex]\sf = \dfrac{12}{30}\\\\ = \dfrac{2}{5} \ hour\\\\ = \dfrac{2}{5}*60\\\\= 2 * 12\\\\= 24 \ minutes[/tex]

It will take 24 minutes.

c) time = 36 minutes

           [tex]\sf = \dfrac{36}{60} \hour[/tex]

 [tex]\sf \boxed{speed= \dfrac{distance}{time}}[/tex]

            [tex]\sf = \dfrac{12}{ \dfrac{36}{60}}\\\\\\ = 12* \dfrac{60}{36}\\\\= 20 \ mph[/tex]

Average speed = 20 mph

Answer:

x=20

Step-by-step explanation:

It looks like the opposite end of the 70 is angle between I and D. So assuming that angle is also 70 I would subtract 90 and 70 which equals 20. X=20

85

Step-by-step explanation:

Given,

[tex]{ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}[/tex]

Put x = 9 in Eqⁿ (1)

[tex]{ \pink{ \sf{h(9) = 1 - 7(9)}}}[/tex]

[tex]{ \pink{ \sf{h(9) = 1 - 63}}}[/tex]

[tex]{ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}[/tex]

Let

[tex]{ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]

Substitute the value of h(9) in Eqⁿ (2)

[tex]{ \green{ \sf{23 - ( - 62)}}}[/tex]

[tex]{ \green{ \sf{23 + 62}}}[/tex]

[tex] = { \pink{ \boxed{ \red{ \sf{85}}}}}[/tex]

Answer:

Multiply and divide by √2 . You'll get √22

Step-by-step explanation:

3

x

2

−

3

x

−

60

=

0

Explanation:

A quadratic equation whose roots are

α

and

β

and leading coefficient is

a

is

a

(

x

−

α

)

(

x

−

β

)

=

0

Hence, the quadratic equation whose roots are

5

and

−

4

and leading coefficient is

3

is

3

(

x

−

5

)

(

x

−

(

−

4

)

)

=

0

or

3

(

x

−

5

)

(

x

+

4

)

=

0

or

3

(

x

2

−

5

x

+

4

x

−

20

)

=

0

or

3

(

x

2

−

x

−

20

)

=

0

or

3

x

2

−

3

x

−

60

=

0

Answer:

5x^2+5x-100=0

Step-by-step explanation:

5(x+5)(x-4)=0

(x+5)(x-4)= 0

x= -5

x= 4

Proved that the triangle ABW ≅ triangle DCW

In the given question,

The length of WA = The length of WD

The measure of angle 5 = The measure of angle 7

Here we have to prove that one angle and two sides of the triangle ABW is equal to the one angle and two sides of the triangle DCW

Consider the triangle ADW,

In the triangle ADW the length of the WA is equal to the length of WD.

Therefore the measure of angle A is equal to the measure of angle D.

So in triangle ABW and the triangle DCW, one side and two angles are equal.

Therefore the triangle ABW and triangle DCW are congruent

Hence, proved that the triangle ABW ≅ triangle DCW

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The required solution of the given absolute value equation is z = 4/3 and z = 1/3.

Given that,
To solve the absolute value equation |6z-3|=5

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given the absolute value equation,
|6z-3|=5
Simplify,
6z - 3 = ± 5
Taking (+)

6z - 3 = 5
6z = 8
z = 4/3
Taking (-)
6z -3 = -5
z = -1/3

Thus, the required solution of the given absolute value equation is

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Answer:

6 and - 18

Step-by-step explanation:

let the 2 integers be a and b , then

a + b = - 12 → (1)

[tex]\frac{a}{b}[/tex] = - 3 → (2)

multiply both sides by b ( b ≠ 0 )

a = - 3b

substitute a = - 3b into (1)

- 3b + b = - 12

- 2b = - 12 ( divide both sides by - 2 )

b = 6

substitute b = 6 into (1) and solve for a

a + 6 = - 12 ( subtract 6 from both sides )

a = - 18

the two integers are - 18 and 6

Answer:

Step-by-step explanation:

there is no question?

The price for 7 bags of trail mix and 4 bananas is  15.45  dollars.

The expression for x trail bag and y bananas is 1.35x + 1.50y.

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Therefore, the cost of a bag of trail mix at the corner store is 1.35 dollars  and the cost of a banana is 1.5 dollars.

The cost for 7 bags of trail mix and 4 bananas can be computed as follows;

let

x = bags of trail mix

y = number of banana

Therefore,

1.35x + 1.50y

1.35(7) + 1.50(4) = 9.45 + 6 = 15.45

Therefore, let's find the expression for x trail bag and y bananas.

Hence,

1.35x + 1.50y

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Check the picture below.

The line represents that x is anywhere from negative infinity to 1:

x < 1

Answer: x<1

Step-by-step explanation:

X is less than one on the graph because everything on the darker line is the solution.

Ex:

-1<1

The image of the corresponding to each slope is attached

A line's steepness can be determined by looking at its slope.

Slope is determined mathematically as "rise over run" (change in y divided change in x).

assuming slope is m

m = (y₂ - y₁) / (x₂ - x₁) = change in y / change in x

considering the formula

slope is between 0 and 1 when rise (change in y) is so smaller than run (change in x) hence the line is closer to horizontal

slope is greater than 1 then the rise is more than run, in this case the line is approaching vertical line

numbers less than zero are negative hence slope has a negative value

A horizontal line is a line that has a slope of of zero while vertical lines has its slope as infinity

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The slope of the road is 159/53

What is a slope?

How steeply a line slopes from left to right is known as its slope. By dividing a line's rise, or vertical change, by run, or horizontal change, one can calculate a line's slope, the slope of a line is always constant (it never varies).

To calculate the slope of a line using the formula

m = rise / run = (y₂ - y₁)/(x₂ - x₁)

where, m = slope

(x₁, y₁) = coordinates of the first point in the line

(x₂, y₂) = coordinates of the second point in the line

Here, we have

rise = 795

run = 265

by using the slope formula,

m = rise/run

m = 795/265

m = 159/53

Hence, the slope of the road is 159/53.

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The linear function with values of f(-1)=8 and f(5)=6 is  f(x) = [tex]\frac{-x+23}{3}[/tex].

What is linear function?

 A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.

Here the given  values are f(-1)=8 and f(5)=6.

We know that f(x)=y , Then the points are (-1,8) and (5,6).

Using slope formula ,

=> slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = -2/6=-1/3

Now using slope formula,

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

=>y-8=-1/3(x+1)

=>3y-24=-x-1

=> 3y=-x+23

=> y = [tex]\frac{-x+23}{3}[/tex]

Hence the linear function is f(x) = [tex]\frac{-x+23}{3}[/tex].

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The total cost is $1.75

Given that we've done it:

The total price is shown by:

Now, let's display the following in a number line:

So, after seven hops, we arrive at 1.75, which is the correct response.

Hence, the total cost is $1.75

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Answer:

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

if l and m are parallel that means that since the two angles are consecutive interior they add to 180

so add them both and set that to 180

9x - 4 + 5x + 16 = 180

now combine like terms

14x + 12 = 180

subtract 12 from both sides

14x = 168

divide everything by 14

x = 12

that is the answer

Answer:

Step-by-step explanation:

Let's find x:-

[tex]\sf 9x-4+5x+16=180^o[/tex]

Combine like terms:-

[tex]\sf 9x+5x-4+16=180[/tex]

[tex]\sf 14x-4+16=180[/tex]

[tex]\sf 14x+12=180[/tex]

Add/Subtract numbers:-

[tex]\sf 14x+12-12=180-12[/tex]

[tex]\sf 14x=168[/tex]

Divide both sides by 14:-

[tex]\sf \cfrac{14x}{14}=\cfrac{168}{14}[/tex]

[tex]\sf x=12^o[/tex]

__________________

Hope this helps!

Have a great day!

The equation to illustrate the information when the football team travels to an away game is 5c + 9v = 47.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Let cars = c

Let van = v

The equation will be 5c + 9v = 47.

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The z-score under which 3/4 of the data lies is of:

Z = 0.675.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score under which 75% of the distribution lies is the 75th percentile, hence it is the value of Z with a p-value of 0.75.

Looking at the z-table, this value is of 0.675, as 0.675 is the mean of the p-values of Z = 0.67 and Z = 0.68.

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The freezing point of water in relation to the freezing point of acetone, is 169 °F

The difference between the freezing point of water (how much warmer the freezing point of water is) and the freezing point of acetone can be found by the formula:
= Freezing point of water - Freezing point of acetone

Freezing point of water = 32°F

Freezing point of Acetone = – 137°F

In relation to the freezing point of acetone, the degrees warmer that the freezing point of water is:

= 32 - (- 137)

= 32 + 137

= 169 °F

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Answer:

i think it 8h

Step-by-step explanation: