y = 6x - 4
y = -x + 3

Answer:

$13.38

Step-by-step explanation:

Use proportions to solve this problem:

$20.07 / 3 bags  = X / 2 bags

multiply both sides by "2 bags" to isolate the unknown X

$20.07 * 2 / 3 = X

Therefore, X = $13.38

Answer:

the answer is 12/8

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

-3/8 ÷ -1/4

Reciprocal the second fraction.

-3/8 × -4/1

Multiply the fractions.

(-3×-4)/(8×1)

12/8

The quotient of the division is 12/8, simplified to 3/2.

The final answer is 8 liters (8000 milliliters/1000).

To add these volumes, we need to convert everything to the same unit. We can convert liters to milliliters since 1 liter is equal to 1000 milliliters.

- 2.5 liters can be converted to 2500 milliliters (2.5 x 1000)

- 2 liters is equal to 2000 milliliters (2 x 1000)

Now we can add all the volumes in milliliters:

- 2,000 milliliters

- 2,500 milliliters

- 1,500 milliliters

- 2,000 milliliters

When we add these volumes, we get a total of 8,000 milliliters. However, we can simplify this answer and convert it back to liters by dividing by 1000.

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Answer:

7/5 or 1.4 batches

Step-by-step explanation:

batches                                Sugar used

     1                                           10

     x                                           14

cross multiply

10x=14

x=14/10

x=1.4 or 7/5

Answer:

7/5

Step-by-step explanation:

Answer:

7/5 or 1.4 batches

Step-by-step explanation:

batches                                Sugar used

    1                                           10

    x                                           14

cross multiply

10x=14

x=14/10

x=1.4 or 7/5

Answer:

$2.49

Step-by-step explanation:

pasta + drink = $14.48

$11.99 + drink = $14.48

Subtract $11.99 from both sides.

drink = $14.48 - $11.99

drink = $2.49

Answer: $2.49

Answer:

y= -1/3x + -5

Step-by-step explanation:

y= mx + b

b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)

To find the slope, you take the

Change of y/ Change of x

Take two points (I did, (0,-5) and (3, -6) ).     (x,y)

-6 - (-5)= -1

3 - 0= 3

-1/3= m

Answer:

i really dont know this is hard hm

Step-by-step explanation:

they have 3.2 dollars each

9514 1404 393

Answer:

Step-by-step explanation:

This takes graph-reading one step further. You get to estimate the y-value without benefit of minor grid lines. You must mentally divide the 10-unit distance between grid lines into equal spaces. Then estimate how many of those spaces lie between the point and the nearest grid line.

You can do this more precisely by drawing a diagonal line across the grid from one major grid intersection to one that is (5, 1) or (5, -1) major grid points away. Where that line crosses the intermediate grid lines, the vertical measure will be some multiple of 1/5 of the vertical difference between grid points. For example, a line from (0,20) to (5,30) will cross at (1,22), (2,24), (3,26), and (4,28). You can use these reference points to identify the y-values at f(0) and f(d).

Here's our eyeball estimate:

C = 45 + 0.25t. The 45 represents the baseline amount that she is charged per month. The t represents each additional text, and the 0.25 represents how much she is charged for each additional text.

On Monday, 350 hamburgers were sold as per the concept of solving equations.

Let's represent the number of hamburgers sold as "x" and the number of cheeseburgers sold as "x + 72" (since there were 72 more cheeseburgers sold than hamburgers).

According to the given information, the total number of hamburgers and cheeseburgers sold on Monday is 772:

x + (x + 72) = 772

Now, let's simplify the equation:

2x + 72 = 772

Next, isolate "x" on one side of the equation by subtracting 72 from both sides:

2x = 772 - 72

2x = 700

Now, divide both sides by 2 to find the value of "x":

x = 700 / 2

x = 350

So, 350 hamburgers were sold on Monday.

To confirm, we can find the number of cheeseburgers sold:

Number of cheeseburgers = x + 72 = 350 + 72 = 422

Now, if we add the number of hamburgers and cheeseburgers, we get:

350 + 422 = 772

The total matches the given information, so our answer is correct.

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The capacity of the tank is 7234.56litres

Capacity refers to the amount of fluid a container can hold. It expressed in units like litres (l), millilitres (ml). Capacity is also known as volume of a substance.

The capacity of the cylindrical pipe is

V = πr²h

r = 8cm

if it takes the pipe 2m per second

then it's volume in one second is

V = 3.14 ×8 × 2× 100

V = 5024cm³/s

if it takes 24 minutes

24 minutes = 24 × 60 s

= 1440s

therefore volume of the tank = 1440 × 5024

= 7234560cm³

in litres = 7234560/1000

= 7234.56litres

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Answer:

Is there an image to visualize the field?

Step-by-step explanation:

I would love to help.

Answer:

Assuming you're doing these values in pairs:

1:9 = 1/9

3:4 = 3/4

35:410 = 7/82

4 = 4

Step-by-step explanation:

Answer:

8 days

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

3(1-2x) > 3 -6x, distribute multiplication by 3 over the subtraction

3 - 6x > 3 - 6x, because the left side is the same as the right side

this statement is never true, therefore this inequality has no solutions.

The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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Answer:

35

Step-by-step explanation:

The largest prime less than 50 is 47

The smallest composite number greater than 10 is 12

47 - 12 = 35

The average rate of change of the function over the interval is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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Answer:

  y = x² -6x +12

Step-by-step explanation:

You want the quadratic equation Y=(x-3)^2+3 written in standard form.

Depending on where you go to school, the given equation may already be in standard form.

Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.

  y = (x -3)² +3 = (x² -6x +9) +3

  y = x² -6x +12

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

11 mm, 21 mm, and 16 mm.

Step-by-step explanation:

since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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The correct option A) There is a cluster, and as x decreases, y increases.

The table represents a set of data containing two variables, x and y. By analyzing the data, we can observe a cluster of values around x = 4 with corresponding y values in the range of 42-45. As we move towards smaller x values, there is a general trend of increasing y values. However, there are a few outliers. Based on these observations, statement A is the most accurate description of the data in the table. It is important to note that the accuracy of the statement is limited to the given data, and further analysis or additional data may reveal a different trend or pattern.

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Complete question:

The table below shows a set of data. Which statement about the table is true?

x: 1.6, 1.9, 2.3, 3.4, 3.8, 4.2, 4.3, 4.6, 4.8.

y: 39, 38, 42, 40, 41, 44, 42, 45, 44

Which statement about the table is true?

A) There is a cluster, and as x decreases, y increases.

B) There is a cluster, and as x increases, y increases.

C) There is not a cluster, and as x increases, y increases.

D) There is not a cluster, and as x decreases, y increases.

Answer:

A. angle X

Step-by-step explanation:

Rule: The largest angle is the one across the largest side.

In this triangle, ZY is the largest side. The angle across this side is X. So angle X has the largest measure.

Answer:

12

Step-by-step explanation:

6/4 is equal to 1.5, multiply that by 8 and you get 12

Answer:

40% of the bottle of apple juice is water

75% of the bottle of orange juice is water

Step-by-step explanation:

this is to find the percentage of apple juice that is water

(32 ÷ 80) × 100

you have to multiply by 100 because you are looking for the percentage

32÷ 80 is 2/5

2/5 × 100 is 40%

this is to find the percent of orange juice that is water

(48÷64) × 100

48 ÷ 64 is 3/4

3/4 × 100 is 75%

Answer:

a. r=4

b. 8pi or 25.13 when rounded to nearest hundreth

c. once

d. twice

Step-by-step explanation:

a)

16pi=pi*r^2

16=r^2

4=r

b)

2(4)pi

8pi or 25.13 when rounded to nearest hundreth

c) once

d) twice

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)