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.

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

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!

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]

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

11 students could sell 1870 cookies.

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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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

Answer: 8 times greater

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

Answer:

y=-2/3x+4

Step-by-step explanation:

slope intercept form = y=mx+b

y=-2/3x+4

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)

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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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.

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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Answer:

-57/8

Step-by-step explanation:

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

= -7.125

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

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

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

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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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]

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

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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Answer:

y = 1/2x + 0

Step-by-step explanation:

Answer:

The smallest even number is 28.

Answer: 0.8 what?

Step-by-step explanation:

prolly likely

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 (^_^)

Answer:

A) 226.9

Step-by-step explanation:

tan80=x/40

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

Answer:

yeah what is it

Step-by-step explanation:

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

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

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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