A recipe calls for 1/3 of a cup of milk for 10 cookies. How many cups of milk are needed to make 60 cookies?

Answer:

The equation is already in the standard form.

y

=

1

2

y

=

x

+

2

Step-by-step explanation:

Final answer:

The two numbers are 14 and 19, where one number is 5 more than the other and their sum is 33.

Explanation:

To find the two numbers where one number is 5 more than the other and their sum is 33, we can set up a system of equations. Let's call the first number x, which means the second number would be x + 5 since it's 5 more than the first. Their sum is given as 33, so we can create the following equation:

x + (x + 5) = 33

Now we simplify the equation:

2x + 5 = 33

To solve for x, we subtract 5 from both sides:

2x = 33 - 5

2x = 28

Finally, we divide both sides by 2 to find the value of x:

x = 28 / 2

x = 14

Now that we have the first number, we can easily find the second number by adding 5:

The second number is x + 5 = 14 + 5 = 19.

The two numbers are 14 and 19.

The correct quadratic function represented by the graph is [tex]\(f(x) = 0.5(x + 1)^2 - 2\)[/tex], and doesn't match with any of the options provided.

To find the quadratic function represented by the given graph, we first identify the vertex and then use it to determine the coefficient [tex]\(a\)[/tex] in the quadratic function.

1. Vertex Calculation:

  - The x-coordinate of the vertex, [tex]\(h\)[/tex], is the average of the x-intercepts: [tex]\(h = \frac{1 + (-3)}{2} = -1\).[/tex]

  - Since the focus lies 2 units below the vertex, [tex]\(k = -2\).[/tex]

2. Vertex Form of the Quadratic Function:

  The vertex form is [tex]\(f(x) = a(x - h)^2 + k\)[/tex], where [tex]\((h, k)\)[/tex] is the vertex.

  Substituting [tex]\(h = -1\) and \(k = -2\)[/tex], we get [tex]\(f(x) = a(x + 1)^2 - 2\).[/tex]

3. Determine [tex]\(a\):[/tex]

  Using the x-intercept (1, 0):

  [tex]\[0 = a(1 + 1)^2 - 2\][/tex]

  [tex]\[0 = 4a - 2\][/tex]

  [tex]\[4a = 2\][/tex]

  [tex]\[a = \frac{1}{2}\][/tex]

4. Quadratic Function:

  Substitute [tex]\(a = \frac{1}{2}\)[/tex] into the vertex form:

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

Therefore, the correct quadratic function represented by the graph is [tex]\(f(x) = 0.5(x + 1)^2 - 2\).[/tex]

The question probable maybe:

Which quadratic function is represented by the graph?

f(x) = 0.5(x + 3)(x - 1)

f(x) = 0.5(x - 3)(x + 1)

f(x) = 2(x + 3)(x - 1)

f(x) = 2(x - 3)(x + 1)

(Given in the attachment)

Answer:

6n

Step-by-step explanation:

Final answer:

The difference of 5 and n cubed is calculated by subtracting n cubed from 5. This involves simple algebraic manipulation.

Explanation:

The difference of 5 and n cubed can be represented as 5 - n³. This means subtracting the cube of the variable n from 5.

To illustrate, if n=2, the calculation would be 5 - 2³ = 5 - 8 = -3.

Therefore, the result of the difference between 5 and n cubed is 5 - n³.

Answer:

31/14

Step-by-step explanation:

5 1/2 - 1 2/7

By multiplying

5/2 - 2/7

By Elysium

(35-4)/14

31/14

Answer:

[tex]4\frac{3}{14}[/tex]

Step-by-step explanation:

[tex]5\frac{1}{2}-1\frac{2}{7}=\frac{11}{2}-\frac{9}{7}=\frac{77-18}{14}=\frac{59}{14}=4\frac{3}{14}[/tex]

The solution of the inequality is h > -3 ⇒ 2nd answer

Step-by-step explanation:

Let us revise very important notes about solving inequalities

∵ -4 h - 3 < 9

- Start with adding both sides by 3 to separate the variable

   in one side and the numerical term in the other side of the

   inequality sign

∴ -4 h - 3 + 3 < 9 + 3

∴ -4 h < 12

- Now divide both sides by -4 and use the last note above

∵ -4 ÷ -4 = 1

∵ 12 ÷ -4 = -3

∵ < must change to > (because we divide both sides by (-) number

∴ h > -3

The solution of the inequality is h > -3

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Answer:

h> -3

Step-by-step explanation:

C overcooked foods will not

The statement which is not a common procedure leading to foodborne illness is overcooked foods, the correct option is C.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Four options related to foodborne illness

Now,

Out of the four options you gave only one is not a common procedure leading to foodborne illness:

a. undercooked foods b. poor personal hygiene c. overcooked foods d. food held at improper temperature

Overcooked foods may lose some of their nutritional value or taste but they are unlikely to cause foodborne illness unless they are burned or charred which can produce harmful chemicals such as acrylamide or polycyclic aromatic hydrocarbons (PAHs). However this is not a common procedure leading to foodborne illness compared to the other options.

Therefore, by unitary method the answer will be overcooked foods.

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Answer:

8.8 hours

Step-by-step explanation:

Given: Happy Paws charges $20.00 plus $2.50 per hour to keep a dog.

           Woof Watchers charges $9.00 plus $3.75 per hour.

Lets assume the number of hours service provided be "h".

First, writing an equation for Happy paws cost for service.

Total cost of service= [tex]\$ 2.5\times h+ \$ 20[/tex]--- equation 1

Second, writing an equation for Woof watchers cost of services.

Total cost of service= [tex]\$ 3.75\times h+ \$9[/tex]--- equation 2

Now, finding number of hours services provided, when cost of service will be equal for both service provider.

∴ [tex]2.5h+ 20= 3.75h+ 9[/tex]

Solving the equation now to find number of hour.

⇒ [tex]2.5h+ 20= 3.75h+ 9[/tex]

Subtracting both side by 2.5h

⇒ [tex]20= 3.75h+ 9-2.5h[/tex]

Subtracting both side by 9

⇒ [tex]1.25h= 11[/tex]

Dividing both side by 1.25

⇒[tex]h= \frac{11}{1,25}[/tex]

∴[tex]h= 8.8\ hours[/tex]

Hence, 8.8 hours is the number of hours when cost of service will be equal for both service provider.

Answer:

           [tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=0[/tex]

Explanation:

Assuming the correct expression is to find the following limit:

         [tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}[/tex]

Use the property the limit of the quotient is the quotient of the limits:

         [tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}[/tex]

Evaluate the numerator:

          [tex]\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}=\frac{1^2-1}{\lim_{x \to1}sin(x-2)}=\frac{0}{\lim_{x \to 1}sin(x-2}[/tex]

Evaluate the denominator:

                  [tex]\frac{0}{\lim_{x \to1}sin(x-2)}=0[/tex]

Answer:

Step-by-step explanation:

Total game played = 162

Let the games lost be = x

Game won = x + 44

x + x + 44 = 162

2x = 162 - 44

2x = 118

x = 118/2

x = 59

The number of games lost is 59

Answer:

£60000

Step-by-step explanation:

Answer:

3(x + 1)

Step-by-step explanation:

By adding

(2x + 1) + (x+2)

2x +1 +x +2

3x + 3  or  3(x + 1)

Answer:

d. 5

Step-by-step explanation:

Answer: X - 5 ÷ 15

Step-by-step explanation: The first step to algebra is to collect like terms. Since X is an a variable, we cannot solve X - 5. But we can solve 5 + 10, since those are both numbers. 5 + 10 is 15. So therefore, your simplified expression would be X -5 ÷ 15.

Hope this helps! Please correct me if I'm wrong! :D

you can plug the x value (9y) into the second equation

5(9y) + 3y = -48

45y + 3y = -48

48y = -48

y = -1

x = 9(-1)

x = -9

Answer:

x = 9

y = -31

Step-by-step explanation:

5x+3y

y = -31

x = 9

plug it in

Answer:

The furthest distance was 2.12 miles from school to the park.

The shortest distance was 1.34 miles from home to school.

The furthest distance was from school to the park, and the shortest distance was from home to school.

In order to determine which trip was the furthest distance and which trip was the shortest distance, we need to compare the distances of each trip. Angel walked 1.34 miles from home to school, 2.12 miles from school to the park, and 1.94 miles from the park back home.

Comparing the distances, we can see that the trip from school to the park (2.12 miles) was the furthest distance, while the trip from home to school (1.34 miles) was the shortest distance.

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Answer:3:40 pm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the quantity of milk and water be 40 and 60 respectively.

After removing 50% of solution,

Quantity of milk = 20 and quantity of water = 30

Therefore, the concentration of the solution is reduced from 40 to 20. Hence the solution is reduced by 50%.

Answer:

[tex]x^{3/5}[/tex]

Step-by-step explanation:

[tex]x^{1/2}*x^{1/5}\\[/tex]

Remember, when multipling common variables by an exponent, add the exponents

[tex]x^{\frac{1}{2} + \frac{1}{5}}\\x^{6/10} = x^{3/5}[/tex]

Answer:

60 degrees

Step-by-step explanation:

First we need to know how many degrees are in a parallelogram. We can use the formula 180(n-2) (n is the number of sides)

This works out to 180(4-2)=360 degrees.

Now we can set up the following equation as:

2(120)+2x=360 Subtract 240 from both sides to get:

2x=120 Divide by 2 to get:

x=60 degrees

Therefore we know 2 angles are each 120 degrees and the other 2 are 60 degrees.

Answer: 360 cars can park in the parking lot.

40 parking spots x 9 rows = 360 cars

Answer:

Step-by-step explanation:

-12n - 12 = -10 - 30n - 2

-12n - 12 = -12 - 30n

-12n = -30n

-12n +30n = 0

18n = 0

n = 0

Answer:

-12n- 20 = -10 - 30n - 2

-12n - 20 = -12 - 30n

18n - 20 = -12

18n = 18

n = 1

Answer:

C. Workers to total population.

Unemployment is defined as the condition of people who are able to work but cannot find jobs. The unemployment ratio is most accurately described by option B: 'unemployed workers to total workers'. This does not include people who are not part of the labor force.

Unemployment is defined as the condition in which people who are able and willing to work cannot find jobs. In terms of the provided options, unemployment is best defined by option B: 'unemployed workers to total workers'. This is because the unemployment rate is calculated by dividing the number of unemployed individuals by the total number of individuals in the labor force (which includes both the employed and the unemployed) and then multiplying by 100 to get a percentage.

This measure gives a good representation of the number of people who are jobless compared to the overall amount of people who are either working or actively seeking work. It's important to keep in mind that it doesn't include people who are not part of the labor force, like children, retirees, and others who are not looking for work.

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Answer:

[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

300 - 25 = 275

275/300 = 11/12 simplified

Answer:

11/12

Step-by-step explanation:

Answer:

The means are 3 and 20.

Step-by-step explanation:

A proportion is simply a statement that two ratios are equal. In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

Consider given proportion

Here, 2 and 30 are the extremes and 3 and 20 are the means.

Answer:the answer is below

Step-by-step explanation: 3 and 20

The value of y is 64°

Solution:

The image of the question is attached below.

Given two angles of a triangle.

One angle is 79°.

Other angle is 37°.

Let the unknown angle be y.

Triangle sum property:

Sum of all the angles of a triangle = 180°

⇒ y + 79° + 37° = 180°

⇒ y + 116° = 180°

⇒ y = 180° – 116°

⇒ y = 64°

Hence the value of y is 64°.

Answer:

40,000

Step-by-step explanation:120,000 divided by 30% is 40,00 because 120,000 divide by 30 is 40,000

Answer:84,000 acres is NOT gonna be farm land and 36000 acres will be farm land.

Step-by-step explanation:

Answer:

# of questions : y = -x + 19

Step-by-step explanation:

if ur only wanting the equation for the number of questions on the test, then it would be :  x + y = 19......y = -x + 19 in slope intercept form.

and if u were wanting the number of points, then it would be :

5x + 10y = 100.....10y = -5x + 100.....y = -1/2x + 10. in slope intercept form

To express the number of questions on Mrs. Morales' test in slope-intercept form, first write the total point equation 5x + 10y = 100, then simplify and solve for y to get the slope-intercept form y = -0.5x + 10.

To write an equation representing the number of questions on Mrs. Morales' test, we must consider the total points possible and the value of each question type. The spelling questions (x) are 5 points each, and the vocabulary questions (y) are 10 points each. The total points for the test are 100, which leads us to the equation 5x + 10y = 100.

However, to put this into slope-intercept form, we solve for y. Dividing the entire equation by 10 gives us 0.5x + y = 10. Then, isolating y yields y = -0.5x + 10, which is now in slope-intercept form where the slope (m) is -0.5 and the y-intercept (b) is 10.

The slope-intercept form provides a way to see how many vocabulary questions (y) can be on the test for a given number of spelling questions (x).

Answer:

42/7 = 6.00

6.00 x 7 = 42

6.00 is fraction for 42.

Step-by-step explanation:

42 divided b 7 is 6.