Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.

Use your graph to determine the point of intersection.
​

Answer:

16.8

Step-by-step explanation:

Answer:

if you multiply pi by 64^2 times 6 then it comes out to 77207.78

Step-by-step explanation:

64^2 = 4096

4096 (6) = 24576

24576 (π) ≈ 77207.78

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

Answer:

[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]

Step-by-step explanation:

[tex]\text{The given equation is:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]

[tex]\text{To find:}[/tex]

[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]

[tex]\text{From the given equation:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]

[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]

[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]

∴

[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]

[tex]\implies \dfrac{4b- 2}{4b}[/tex]

[tex]\implies \dfrac{2b- 1}{2b}[/tex]

Answer:

b6 2hich method

Step-by-step explanation:

I solv3 this

Answer:

there are 16 inches of bases

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Answer:

I will answer in English.

This can be translated to:

In a school, 1256 girls and 1593 boys study in three periods. how many students study at that school?

This means that we have a total of:

(1256 + 1593) students = 2849 students, divided in 3 periods.

So the total number of students in that school is 2849

And the number of students per period is:

2849/3 = 949.7

Because we can only have whole numbers here, we can say that in each period there are around 950 students.

Answer:

The diameter is 6

Step-by-step explanation:

Answer: Go to ur profile and choose the tab that says which questions u have asked then you can edit ur response (a little pencil icon will be on the top right corner of ur question)

Step-by-step explanation:

info above.

Answer:

4/2

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope you help make me brainist

Answer:

The volume of the Rubik's Cube is 27 in^3

Step-by-step explanation:

Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.

We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.

Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.

Now we know that each one of these small cubes has a volume of 1 in^3

Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:

V = 27*( 1 in^3) = 27 in^3

unpredictable and easily loses his/her temper with family members.  A disconnect starts setting in, pushing him/her further into depression. This leads to a lack of confidence and eventually with growing frequency of arguments.

Answer:

36%

Step-by-step explanation:

Tried it with 100 as a base and got to 36. Should be right :)

Answer:

He had not sold 90%

Step-by-step explanation:

make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%

Answer:

c

Step-by-step explanation:

If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5

"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

"A triangle is a polygon with three edges and three vertices."

The given figure contains a rectangle and a triangle.

Length of rectangle = 10 ft

Breadth of rectangle = 8 ft

Area of rectangle = length × breadth

Area of rectangle = 10 × 8 = 80 ft.

Base of triangle = 8 ft.

Height of triangle = 3 ft.

Area of triangle = [tex]\frac{1}{2}[/tex]× base × height

Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.

Total area of fence = Area of rectangle + Area of triangle

Total area of fence = 80 + 12 = 92 ft.

Cost of one foot of fence = $1.50

Cost of 92 foot of fence = $1.50 × 92

Cost of 92 foot of fence = $138

4 square feet is covered by = 1 bag of gravel

1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel

92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel

Cost of 1 bag of gravel = $3.50

Cost of 23 bags of gravel = $3.50 × 23 = $80.5

Total amount spend = $138 + $80.5 = $218.5

Hence, total amount spend is $218.5

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Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240

Answer:

1/2

Step-by-step explanation:

Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.

This is calculated as:

1/2 × 5/6

= 5/12

Hence, he took 5/12 of the sand

How much of the original sand which did pete take to his neighbors.

Let the original sand be represented as 1

Hence:

5/6 = 5/12 sand

1 = x

Cross Multiply

5/6x = 1 × 5/12

x = 5/12 ÷ 5/6

x = 5/12 × 6/5

x = 1/2

Therefore, pete took 1/2 of the original sand to his neighbors.

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

$266

Step-by-step explanation:

The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

Since the cost of the guitar is $350

There is 20% off.

And, there is 5% off the sale price

So, it be like

= 350 (1 - 0.20) (1 - 0.05)

= $266

hence, The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

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Answer:

34

Step-by-step explanation:

:)

Answer:

34

Step-by-step explanation:

Remember that the sum of the angles of a triangle is 180

And since two sides are congruent b = 73

So 180-(73+73) = 34

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer:

I believe B

Step-by-step explanation:

sorry if wrong and if it is I'll give you back your points

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Answer:

4 streamlined shapes reduces friction on airplane

A streamlined shape reduces friction on an airplane. The correct statement is 4.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

To determine the correct statement will be

1. Friction is a force causing rotation.

The statement is incorrect because the cause of rotation is force.

2. Efficiency of the lever is a highly efficient 1st class lever.

The statement is incorrect.

3. Torque is output divided by input.

The statement is incorrect because the output divided by input is known as productivity.

4. Streamlined shape reduces friction on an airplane.

The statement is correct.

5. Equal-arm balance loss of energy.

The statement is incorrect.

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