3) Sketch a graph, labelling and scaling the axes, of the line y = 2x – 3.

The cost for the soda is proportional.

For there to be a proportional relationship, there must be a constant.

In this case, one soda costs $2.75.

Also, five sodas cost $13.75. The cost per soda will be:

= $13.75 / 5

= $2.75

Since the values of $2.75 are the same, it has a proportional relationship.

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Blank 1: [tex]\frac{k}{m}[/tex]

Blank 2: [tex]-\frac{k}{n}[/tex]

Blank 3: [tex]\frac{k}{m}=\frac{n}{k}[/tex]

Blank 4: [tex]\frac{KL}{KM}=\frac{KN}{KL}[/tex]

Blank 5: SAS similarity theorem

Blank 6-9: The options are needed

Answer:

Step-by-step explanation:

You want the number of small (12 oz) cups and large (22 oz) cups sold if 80 total cups and 1460 ounces were sold.

We can let x represent the number of large cups sold. Then 80-x is the number of small cups sold, and the total ounces of lemonade sold are ...

  12(80 -x) +22x = 1460

Simplifying the equation gives ...

  960 +10x = 1460

  10x = 500

  x = 50

Then the number of small cups sold is ...

  80 -x = 80 -50 = 30

30 small cups and 50 large cups were sold.

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Rectangular prism volume: base length x base width x height

By looking at the image we can see that the height of the prism is 13cm.

To obtain the result in inches, divide by 2.54

13/2.54 = 5.12 inn inche

Answer:

y=-1/2x+1

Step-by-step explanation:

perpendicular is when the gradient of the existing equation is reciprocated (swapped sides and flipped)

new gradient- -1/2

so our new equation is y=-1/2x+c

we have the co-ordinates for x and y so substitute into new equation

1=(-1/2 x 0) + c

so c=1

Hence our equation is : y=-1/2x+1

Add 3 to both sides:

The roots of a equation are the points where the graph intersects the x-axis. The answer is the first option.

Since

even degree function, it will have an even number of real zeros, and, since it has a degree of 4, there will be 4, 2 or 0 real zeroes

two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. then 12 different paintings are possible

First we figure out the number of ways to put the $3$ blue disks.

Denote the spots to put the disks as $1-6$ from left to right, top to bottom.

The cases to put the blue disks are $(1,2,3),(1,2,4),(1,2,5),(1,2,6),(2,3,5),(1,4,6)$.

For each of those cases we can easily figure out the number of ways for each case, so the total amount is $2+2+3+3+1+1 = (D)  12$

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Answer:60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]

Si pasamos el formato de horas a 24 horas, tenemos lo siguitente:

claramente podemos ver la diferencia:

por lo tanto, el trayecto duro 4 horas

If n represents of nickels in the​ jar, then the equation that can be used to find n is; n + 77 = 90

An equation is an expression that shows the relationship between two or more numbers and variables.

Assume that n represent the number of nickels in the jar.

Given that the jar contains only​ , pennies, nickels,​ dimes, and quarters. There are 28 ​pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels.

This means that the total number if pennies, dimes and quarters would be;

23 + 28 + 26 = 77

This means that the number of coins that are not nickel = is 77

The total number of coins in the jar is 90. Therefore, the equation that can be used to find n is;

n + 77 = 90

n = 90- 77

n = 13 nickels

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Answer: the 3 equation I think

Step-by-step explanation: Find the value of X and y be sure to do on paper or message me for this one so I can give the answer to you without solving

Answer:

Look at this attachment and it may help you

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

took the test

x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6) is 4

What is the equation of the line?

The slope of the line and a point on the line can be used to create the equation of a line.

The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

Given equation of line is y = -3x - 5

Passing points (a,b) = (2,6)

As we know equation of the line is y = mx + c where m is the slope of the line and c is the y-intercept

On comparing the given equation of the line with y = mx + c , we have slope of the line is -3

Slope of two parallel lines is equal.

Equation of line having slope and passing point is given by y-b = m (x-a)

Therefore, equation of line having slope -3 and passing point (2,6) is y - 6 = -3(x - 2)

⇒ y - 6 = -3x + 6

⇒ y = -3x + 6 + 6

⇒ y = -3x + 12

Equation of line having slope and x-intercept is given by y = m(x - a) where m is the slope and a is the x- intercept

y = -3x + 12 can be written as y = -3(x-4)

On comparing this equation with y = m(x-a) we have x-intercept is 4

Therefore, x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6) is 4

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Answer:

x= 1.14 to 2d.p.

Step-by-step explanation:

1/2 = 0.5

0.5 * 7x = 3.5x

0.5 * -4 = -2

2=3.5x-2   Solve +2

4=3.5x    /3.5

x= 1.14 to 2d.p.

-34-55

Since both numbers are negative, we simply have to add the numbers and the result will be negative.

-89

The solution of each expression is

(1) (-2×-5-3)+(2×-2)  = - 10

(2) (3/4 x-1)-(1/3 x +4) = -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2 = - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6) = -5.5 x + 5.8

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

(1) The sum of the given expressions is given as
(-2×-5-3)+(2×-2)

= -2x - 8 + 2x - 2

= -8 - 2

= - 10

(2) (3/4 x-1)-(1/3 x +4)

(-3/4) x- (1/3) x - 1 - 4

= -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2

= (-6.5+ 3.3) +11 -2

= - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6)

= (-3.6x-1.9x)+9.4 - 3.6

= -5.5 x + 5.8

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Given:

If AB = 0,

Then it is not necessary that A=0 or B=0

To prove this, we consider an example:

Let n=m = p =2

Then AB is given as:

Clearly AB= 0 but A,B not equals to zero.

Hence, the given statement is not true.

Hence, the answer is false.

ANSWER

$28

EXPLANATION

We have that the entry fee is $10 and for each ride, $6 must be paid.

We want to complete the table by finding the cost of 3 rides.

First, let us represent the cost of going to the fair and taking the ride.

Let the number of rides a person takes by x.

We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:

Cost = 10 + 6x

So, for taking 3 rides, it will cost:

Cost = 10 + 6(3)

Cost = 10 + 18

Cost = $28

That is the cost of taking 3 rides.

Answer:

2.405 = 481/200 or 2 81/200

1.537 = 1537/1000 or 1 537/1000

Step-by-step explanation:

Hope it helps:)

Answer:

2.405 = 481/200 or 2 81/200

1.537 = 1537/1000 or 1 537/1000

Step-by-step explanation:

Answer:

10x1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:[tex]10*4\7= \frac{40}{7} \\=5.714285714 \\\\ 10*\frac{10}{2}\\ \frac{10}{2}\\ =5 \\\\10*4\frac{2}{3} = 10*\frac{14}{3}\\\\ \frac{140}{3} = 46.66666667\\\\10*\frac{3}{4}=\\\\ \frac{30}{4} = 7.5\\\\10*\frac{9}{8}=\\\\\frac{90}{8} = 11.25\\ \\\\10X\frac{4}{7} , 10X\frac{3}{4} is the answer[/tex]

Answer:

x = 23

y = 119

Step-by-step explanation:

Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are alternate angles and have equal measurement.

We can write the following equation based on this information:

4x - 31 = 61 add 31 to both sides

4x = 92 divide both sides by 4

x = 23

now onto y,

the angle represented with y and the angle that is represented with 4x - 31 are supplementary and their measures add up to 180:

4x - 31 + y = 180 replace x with 23

4*23 - 31 + y = 180

92 - 31 + y = 180 subtract like terms

61 + y = 180 subtract 61 from both sides

y = 119

The correct matching of EFTA and PCI standards are:

A) EFTA

(B) PCI

So, match the following as follows:

(A) EFTA

(B) PCI

Therefore, the correct matching of EFTA and PCI standards are:

A) EFTA

(B) PCI

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Complete question:

Match the correct EFTA and PCI Standards.

report a stolen debit card

protect credit card data

place a stop payment on

recurring payments

maintain a secure network

a) The coordinates of the point B is (6, 6) and the coordinates of the point D is (4,0).

b) The completed rectangle ABCD is shown in the following graph. And the point of C (8,4) is also marked on it.

Coordinates:

Coordinates refers a pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

Given,

Here we have the graph attached to the given question with the coordinates A, B and D.

Now, we have to find the following:

a) Coordinates of B and D

b) Draw a complete rectangle on the graph and mark the coordinates C on it.

a) While we looking at the graph, we have identified that,

The point of B is derived by when the point 6 in x axis and y in y axis intersect. Therefore, the coordinate of B is (6,6).

Similar  way, the coordinate of D is obtained as (4,0).

b) First, we have to identify the point of C, that can be obtained, we know that the shape of ABCD is rectangle, based on this the coordinate lies at the point of (8,4).

Therefore, the completed graph is attached below.

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Answer:

-7

Step-by-step explanation:

-7-2= -9

-7+5= -2

-9×-2=18

Answer: n = - 13/4

Step-by-step explanation: got it correct :)

Answer: 10.8 seconds

Step-by-step explanation:

[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]

Given slope m=5 and the point as (2, 3)

The equation of the line is y = 5x - 7