4x – 6 + x + 3
A 37- B 21- C 17- D 31

Answer: a= 14 , b= 15, c =15 , d =18 , e= 18.

Step-by-step explanation:

Stratified sample is a sampling technique used to show the participation of each group present in the population..

Person sampled from each group =[tex]\dfrac{Person\ in\ group}{Population}\times sample\ size[/tex]

Total students = 140+150+150+180+180 =800

In sample

Person of Year 7 students = [tex]\dfrac{140}{800}\times80=14[/tex]

Person of Year 8 students = [tex]\dfrac{150}{800}\times80=15[/tex]

Person of Year 9 students = [tex]\dfrac{150}{800}\times80=15[/tex]

Person of Year 10 students = [tex]\dfrac{180}{800}\times80=18[/tex]

Person of Year 11 students = [tex]\dfrac{180}{800}\times80=18[/tex]

Hence, a= 14 , b= 15, c =15 , d =18 , e= 18.

Answer:

427

Step-by-step explanation:

Answer:

4.2 units

Step-by-step explanation:

Assuming 1 grid box = 1 units, the coordinates of the two points are (-1, -1) and (2, 2).

Apply distance formula [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to find the distance between (-1, -1) and (2, 2).

Let,

[tex] (-1, -1) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(2 - (-1))^2 + (2 - (-1))^2} [/tex]

[tex] d = \sqrt{(3)^2 + (3)^2} [/tex]

[tex] d = \sqrt{9 + 9} [/tex]

[tex] d = \sqrt{18} [/tex]

[tex] d = 4.2 [/tex] (to the nearest tenth)

Answer:

15.42$

Step-by-step explanation:

Answer:

x = 56, x = 30

Step-by-step explanation:

(a)

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

72 + 2x + 99 + 89 + 3x = 540, that is

5x + 260 = 540 ( subtract 260 from both sides )

5x = 280 ( divide both sides by 5 )

x = 56

----------------------------------------------------------------

(b)

The sum of the exterior angles of a polygon = 360°

sum the exterior angles and equate to 360

94 + 56 + 4.5x + x + 1.5x = 360, that is

7x + 150 = 360 ( subtract 150 from both sides )

7x = 210 ( divide both sides by 7 )

x = 30

Answer:

2_ 35 = -33

2 + (-35) = -33

Answer:

D) 2+(-35)

I hope it help

Answer:

44 cupcakes

Step-by-step explanation:

Since she spent $35, and she wants to profit $75, she needs to make $110.

110/2.5 = 44

Answer:

(2,-10)

x=2

y= -10

Step-by-step explanation:

To solve by combining the equations we first need to get everything in linear form.

For both equations we can simply just add y to both sides and then subtract the other number on the right side. Doing this gets us

-2x-6=y

-7x+4=y

We then set the two equations equal to each other and solve for y

-2x-6= -7x+4

add 7x and 6 to both sides and get

5x=10

x=2

Use this x value and plug it into any equation

let's do it on the first

-2(2)-y=6

Solve for y and get

-y=10

which means  that

y= -10

Answer:

top right because then youll have enough time to get the money

Step-by-step explanation:

Answer:

The picture Is blocked

Step-by-step explanation:

Answer:

270 cm²

Step-by-step explanation:

The question is not complete, but a similar question is attached.

Solution:

A prism is a three dimensional polygon with two identical and opposite faces. These bases are called the base of the polygon.

A triangular prism is a prism in which its bases are triangular in shape and it also has three rectangular sides.

The total surface area (TSA) of a triangular prism is given by:

TSA = area of triangle 1 + area of triangle 2 + area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area of triangle 1 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²

Area of triangle 2 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²

Area of rectangle 1 = length * breadth =15 * 6 = 90 cm²

Area of rectangle 2 = length * breadth =15 * 5 = 75 cm²

Area of rectangle 3 = length * breadth =15 * 5 = 75 cm²

TSA = 15 cm² + 15 cm² + 90 cm² + 75 cm² + 75 cm² = 270 cm²

Answer:

your answer is (-4,-4) because each space is two units.

Answer:

n=-3.1

Step-by-step explanation:

To solve this, first subtract 3 from both sides of the equation to get 2n=-6.2. Next, divide both sides of the equation by 2 n order to get the final answer of n=-3.1

Answer:

1

Step-by-step explanation:

y = 5(2) -9

y= 10 -9

y = 1

Answer:

$35.25

Step-by-step explanation:that’s the answer

Its point z

Hope I helped

Answer:

48

Step-by-step explanation:

[tex] {x}^{4} + 0.5 {y}^{3} \\ [/tex]

[tex] {2}^{4} + 0.5 \times {4}^{3} [/tex]

[tex]16 + 0.5 \times 64[/tex]

[tex]16 + 32[/tex]

[tex]48[/tex]

Answer:

24

Step-by-step explanation:

Answer:

9.7, 72, 99

Step-by-step explanation:

Answer:

9.7,72,99

Step-by-step explanation:hope this helps!!:D

Answer:

18x^4

Step-by-step explanation:

Answer:

44º

Step-by-step explanation:

We are given that a triangle QRS

QR=20 units

RS=24 units

QS=34 units

We have to find the measure of angle Q.

We know that cosine law

[tex]a^2=b^2+c^2-2bc cos A[/tex]

Using the formula

[tex](24)^2=(20)^2+(34)^2-2\times 20\times 34 cos Q[/tex]

[tex]576=1556-1360 cosQ[/tex]

[tex]1360osQ=1556-576[/tex]

[tex]1360 cos Q=980[/tex]

[tex]cos Q=\frac{980}{1360}[/tex]

[tex]cos Q=0.72[/tex]

[tex]Q=cos^{-1}(0.72)[/tex]

[tex]Q=44^{\circ}(approx)[/tex]

Answer:

Short and sweet... 44º

Step-by-step explanation:

:)

Answer:

Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

Given System of equations is 5x + 2y = 3 (equation 1) and 2x - 3y = 1 (equation 2)

Second System of equations is 2x - 3y = 1 and 7x - y = 4

How we got  7x - y = 4

Step 1: Multiply 2x - 3y = 1 by 1, we get the same 2x - 3y = 1

Step 2: Add 5x + 2y = 3 with 2x - 3y = 1

5x + 2x + 2y - 3y = 1

7x - 3y = 1

We have got second equation 7x - 3y = 1

Thus, Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Answer:

Please check the explanation.

Step-by-step explanation:

Given

height of cylinder h = 4 inches

Given the table

Radius          Volume

1                     ___

2                    ___

3                    ___

Determining the Volume of the cylinder when r = 1 inch and h = 4 inches

Given

h = 4 inches

r = 1 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(1)²×(4)

V = 3.14 × 1 × 4

V = 12.56

V ≈ 13  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 1 inch will be:

V ≈ 13 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 2 inches and h = 4 inches

Given

h = 4 inches

r = 2 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(2)²×(4)

V = 3.14 × 4 × 4

V = 50.24

V ≈ 50  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 2 inches will be:

V ≈ 50 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 3 inches and h = 4 inches

Given

h = 4 inches

r = 3 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(3)²×(4)

V = 3.14 × 9 × 4

V = 113.04

V ≈ 113  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 3 inches will be:

V ≈ 113 cubic inches (nearest cubic inch)

Therefore, we complete the table conclude such as:

Radius          Volume

1                     13

2                    50

3                    113

Answer:

4 or less means you round down

Step-by-step explanation:

Answer:

4 or less means the if the number you behind what you are round if it is less than 4 round down.

Example:

110

if im rounding my hundreds place go to your tenths place if your tenths place is less than 4 then round down

Answer:

1 : 3

2 : 6

4 : 12

9 : 27

Step-by-step explanation:

2nd one do 2 × 3

3rd one 12 ÷ 3

4th one 9 × 3

Answer:

andre has more money

Step-by-step explanation:

Answer:

You need to write an equation for each.

For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.

100 + 5w

For Elena, she has 10 dollars, and gets 20 each week.

10 + 20w

Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.

Andrew:

100 + 5(4) =120

Elena

10 + 20(4) ==90

Andrew has more money in this time.

To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.

Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.

90+5w=20w

90=15w

90÷15=6

6=w

The answer will simplify down to 6 weeks.

Answer:

8 cm

Step-by-step explanation:

its simple 1/2 b x h

Answer:

System of equations: 8x + 2y = 82 and 4x + 2y = 54

Step-by-step explanation:

Given that:

8 solo acts and 2 ensemble acts will last for 82 minutes

4 solo acts and 2 ensemble acts will last for 54 minutes

Let,

x be the minutes solo acts lasts

y be the minutes ensemble acts lasts

According to given statement;

8x + 2y = 82

4x + 2y = 54

Hence,

System of equations: 8x + 2y = 82 and 4x + 2y = 54

Answer:

Option D, (B and  D) is correct

Step-by-step explanation: