Last week, a dairy farm produced n kg of cheese.
The dairy farm also produced 30 kg more yoghurt than cheese and 4 times
as much ice cream as cheese.
The dairy farm produced more kilograms of ice cream than yoghurt last
week.
Write and solve an inequality to work out the possible values of n.

Answers

Answer 1

Answer:

The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.

The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.

Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:

4n > 30 + n

Subtracting n from both sides gives us:

3n > 30

Dividing both sides by 3 gives us:

n > 10

Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.

Step-by-step explanation:


Related Questions

Select all expressions that are equivalent to 3x - 2 (x - 4) - 1

Answers

Answer:

x+7

Step-by-step explanation:

Remove Parentheses

Collect like terms

Calculate

Answer: x+7

Step-by-step explanation: distribute the -2 first

3x - 2x + 8 - 1

simplify (combine like terms )

3x-2x= x

8-1= 7

x+7  

Hope this helps (^_^)

What is the equation for the linear relationship in slope intercept form?

Answers

Answer:

y=-2/3x+4

Step-by-step explanation:

slope intercept form = y=mx+b

y=-2/3x+4

(2, -4) and (-3, -3) write the linear equation in slope intercept form given the following

Answers

Answer:

y = -1/5x - 3.6

Step-by-step explanation:

(2, -4) and (-3, -3)

m = -3+4/ -3-2

m = 1/-5

m = -1/5

y = -1/5x + b

-4 = -1/5(2) + b

-4 = -0.4 + b

b = -3.6

y = -1/5x - 3.6

triangle ABC has a perimeter 22cm
AB=8cm
BC=5cm
by calculation, deduce whether ABC is a right angle triangle? ​

Answers

perimeter = AB + AC + BC
22 = 8 + AC + 5
AC = 9

from phitagoras rule it states that
if ABC is a right angle then

9^2 = 8^2 + 5^2

81≠89

so its not right angelic

3 Select the correct answer. Which value of x makes this equation true? -5(x-20)=35 A. -11 B. 13 C.27 D.-3

Answers

The correct answer is D. -3. To find the value of x that makes this equation true, we need to solve for x. First, we can distribute the negative 5 on the left side of the equation to get: -5x + 100 = 35
Next, we can add 5x to both sides of the equation to get: 100 = 35 + 5x
Then, we can subtract 35 from both sides of the equation to get: 65 = 5x
Finally, we can divide both sides of the equation by 5 to get: x = 13
Since the question asks for the value of x that makes the equation true, the correct answer is x = -3.

Which expression represents these words?

7 more than the product of 9 and 8

Answers

Answer:

7 + (9 * 8)

Step-by-step explanation:

You don't need parenthesis unless it helps you understand.

The expression is represent as 7 + (9 x 8).

Here,

The condition is given as,

The expression is 7 more than the product of 9 and 8.

How to write an expression?

We write an expression by using numbers or variables and mathematical operators which are addition, subtraction, multiplication and division.

Now,

Product of 9 and 8 is written as 9 x 8.

Hence, 7 more than the product of 9 and 8 is written as;

⇒ 7 + (9 x 8)

The expression is represent as 7 + (9 x 8).

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What is the solution to the system of equations?

Answers

Answer:

(2,5)

Step-by-step explanation:

First, we notice that

y = -x + 7

y = 2x + 1

Next, since both -x + 7 and 2x + 1 are equal to y, than by that logic it means

-x+7 = 2x+ 1

Add x to both sides

7 = 3x+1

Subtract 1 from both sides

6 = 3x

x = 2

Now that we solved x, let's plug x = 2 into either -x+7 or 2x + 1. Either way, both will have the same answer.

y = -x + 7

y = -(2) +7

y = 5

Therefore, the answer is

x= 2

y = 5

(2,5)

Find an equation of the circle that has center -(-5,6) and passes through (-1,1).

Answers

Answer:

[tex](x+5)^2+(y-6)^2=41[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius

1) Plug in the center (-5,6)

[tex](x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2[/tex]

2) Plug in the given point (-1,1) and solve for r²

[tex](-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2[/tex]

Therefore, r² is 41. Plug this back into [tex](x+5)^2+(y-6)^2=r^2[/tex]:

[tex](x+5)^2+(y-6)^2=41[/tex]

I hope this helps!

6. It took Mrs. Whitaker's class 4 hours to build a snowman.
They decided to build a second snowman, but this time it took
only half the time it took to build the first one. What was the
total amount of time to build both?

Answers

The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

1st snowman took time t = 4 hours

2nd snowman take half of the first t / 2 = 2 hours

so total time

= t + t/2

= 4 + 2

= 6 hours

The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.

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PLEASE HELP WILL MARK BRAINIEST AND NO LINKS!!!!

Answers

Answer:

a. 5 seconds

b. 1 second

Step-by-step explanation:

Plug the values into the equation and solve for t.

[tex]f(t)=-16t^2+400\\f(t)=-16t^2+16[/tex]

How many times greater is 904.32 than 113.04!!!!
PLS HELP

Answers

Answer: 8 times greater

Step-by-step explanation: divide them 904.32/113.04 and you'll get 8

PLEASE HELP BRANLIEST!!!!

Answers

Answer:

A. y = (x + 3)(x - 2)

Step-by-step explanation:

I used the points where the line crosses the x - axis. (0,-3 and 0,2).

Also, graph it. I use desmos.

Answer:

A)

Step-by-step explanation:

Graphed the equation

Please help me on this

Answers

Answer:

A) 226.9

Step-by-step explanation:

tan80=x/40

- 2 3/4-(-1 1/2)+(-5/6)-(3/8)-(+4 2/3)

Answers

Answer:

-57/8

Step-by-step explanation:

- 2 3/4 - (-1 1/2) + (-5/6) - (3/8) - (+4 2/3)

= -7.125

I’ll brainliest you please help me

Answers

Answer:

a. 15 inches

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

a² = 9in

b² = 12in

9² + 12² = c²

9² = 81

12² = 144

81 + 144 = 225

c² = 225

simplify = √225

√225 = 15

X=15
We know this because we can use the Pythagorean theorem to answer the question.

a^2+b^2=c^

12^2 +9^2=c^

225=c^2

And the answer we get is 15

5 feet x 3 feet x 2 and 1/4

Answers

Answer:

3.1354776 m2

Step-by-step explanation:

Answer: 33.75

Step-by-step explanation:

5 times 3 is 15 and 15 times 2 1/4 is 33.75

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer:

1/2

Step-by-step explanation:

-3x+5x-2>-4x+1

first, you will combine like terms. -3x+5x=2x.

2x-2>-4x+1

you need to move the variable to one side. So you will add 4x on both sides.

6x-2>1

You need to add 2.

6x>3.

Now you will divide both sides by 6 to get x by itself.

x> .5 or 1/2

pls barinliest

A school is selling cookies as a fundraiser. Each box contains 10 cookies. Each student can sell 17 boxes of cookies. How many cookies can 11 students sell

Answers

11 students could sell 1870 cookies.

Explain about the expressions?

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.

An expression is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in certain ways. Language phrases can comprise actions on their own, but they do not make up complete sentences.

=  10 X 17

=  170 X 11

= 1870

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plz answer will give 5* brainliest and thanks plz plz plz ur being timed xD

Answers

Answer:

y = 1/2x + 0

Step-by-step explanation:

How can you identify and write equivalent expressions?

Answers

You can identify equivalent expressions if one of the expressions can be written like the other and it is usually written by combining any like terms on each side of the equation such as x-terms with x-terms and constants with constants.

What is an Equivalent expression?

These are the type of expressions that have similar value or worth but do not look the same.

This type of expression can be identified if one of the expressions can be written like the other and example can be seen below:

3(x + 3) and 3x + 9

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Find the equation of the line. ​

Answers

Answer:

[tex]y=\frac{9}{10}x-\frac{7}{5}[/tex]

Step-by-step explanation:

Using the points [tex](-4,-5)[/tex] and [tex](6,4)[/tex], the slope is [tex]m=\frac{-5-4}{-4-6}=\frac{9}{10}[/tex].

Using point-slope form:

[tex]y+5=\frac{9}{10}(x+4) \\ \\ y+5=\frac{9}{10}x+\frac{18}{5} \\ \\ y=\frac{9}{10}x-\frac{7}{5}[/tex]

The teacher gave a true and false quiz where P(true) = 0.8 for each question. Interpret the likelihood that the first question will be true.

Likely
Unlikely
Equally likely and unlikely

Answers

Answer: 0.8 what?

Step-by-step explanation:

prolly likely

The sum of three
consecutive even
numbers is 90. What is the smallest of
these numbers?

Answers

Answer:

The smallest even number is 28.

Please help ASAP!

Write the recurring decimal 0.123 (1 and 3 being the repeated) as a fraction

Answers

The simplest exact fraction for the decimal number 0.123 is 1231000

what is the next operation that should be done when evaluating this expression?
9-12+-2+3(-3)
a) 3(-3)=-9
b)-2+3=1
and if you dont mind showing how you did it so i can learn it thanks!

Answers

The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9

How to calculate the expression?

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.

In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.

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PLEASE PLEASE HELP!!
Need it by the end of the night!
4.
Kelly Waxman's annual salary is $30,000. She takes
a married exemption. Using the graduated income
tax rates in the figure on the right, find the annual
state tax withheld. (Section 2-3)
a. $1,877. 21
c. $1,877. 90
b. $2,159. 85
d. $1,662. 50
Personal Exemptions
Single
$1,500
Married
$3,000
Each Dependent
$ 750
State Tax
Annual Gross Pay Tax Rate
First $3,500
3%
Next $3,500
4. 5%
Over $7,000
7%​

Answers

The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.

Therefore the answer is d) $1,662.50.

Here is the breakdown of the calculation:

Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000

The first $3,500 are taxed at 3%, which is

= 0.03×3500

= $105

The next $3,500 are taxed at 4.5%, which is

= 0.045×3500

= $157.50

The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is

= 0.07×20000

= $1,400

Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.

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Find the greatest common factor of 21, 35, 49.

Answers

Answer:

You can use formulas for finding them but this is my best method.

Step-by-step explanation:

21=3×7

35=5×7

49=7×7

Finding the hcf or gcf you will first find the common numbers between all the prime factors which is 7.

Therefore gcf of 21,35 and 49 is 7

A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from point A to C is 16ft. What is the distance from point A to B?

A. 8ft
B. 7ft
C. 9ft
D. 6ft

Answers

7ft is the answer in this case

Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identify which of the three out-of-statistical-control criteria apply.

A. Process mean is not within statistical control. One of the points lies above the upper control limit.


B. Process mean is not within statistical control. There are points above and below the control limits.


C. Process mean is not within statistical control. There is an upward trend which is indicating an increase in variation.


D. Process mean is within statistical control.

Answers

Answer:

(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.

Step-by-step explanation:

Gradpoint

i have a question can yall help me

Answers

Answer:

yeah what is it

Step-by-step explanation:

We'll try our level best to help u ...

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