Question POOLE
Homework Progress
729
Five whole numbers are written in order
4 6 x y
10
The mean and median of the five numbers are the same.
Work out the values of x and y.

Answer: x = 31°

Step-by-step explanation:

Answer:

2 hour will male up for the intital fee

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = [tex]\frac{1}{2}[/tex](a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  [tex]\frac{1}{2}[/tex]((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2[tex]x^{2}[/tex] + x

So that;

2[tex]x^{2}[/tex] + x - 531 = 0

This gives a quadratic equation.

Ok?? thx for the points

Hi there!

Twelve is not equal to negative four.

So we know that all of the factors of twelve is 1,2,3,4,6, and 12 itself...

None of these are actually -4 since -4 doesn’t equal to 12.

Think about this... when your trying to multiply or add...

[tex]-4+-4=0[/tex]

[tex]0+-4=-4[/tex]

[tex]-4[/tex]·[tex]-4=16[/tex]

If you keep on multiplying or adding it, it’ll always stay the same...

So like always, twelve isn’t equailvalent to -4.

Answer:

x ≤ −3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

3x + 2 4 5x

Step-by-step explanation:

The solution of the equation formed 3x + 5x = 4 - 2 will be; x = 1/4.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have given that sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x then;

The sum of 3 times the value of x and 2 means (3x + 2)

4 less than 5 times the value of x means (4 - 5x)

Therefore, the equation would be;

3x + 2 = 4 - 5x

Now solving for x;

3x + 5x = 4 - 2

8x = 2

x = 1/4

Hence, the solution of the equation formed 3x + 5x = 4 - 2 will be; x = 1/4.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.

To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.

[tex]\mathrm{distance} = \displaystyle\int_1^5 |\sin(t)| \,\mathrm dt[/tex]

By definition of absolute value,

[tex]|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)<0\end{cases}[/tex]

Over this particular integration interval,

• sin(t ) ≥ 0 for 1 ≤ t < π, and

• sin(t ) < 0 for π < t ≤ 5

so you end up splitting the integral at t = π as

[tex]\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt[/tex]

Now compute the distance:

[tex]\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5[/tex]

[tex]\mathrm{distance} = -(\cos(\pi) - \cos(1)) + (\cos(5) - \cos(\pi))[/tex]

[tex]\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82[/tex]

making B the correct answer.

Answer:

64

Step-by-step explanation:

.64 = Sixty-four hundredths or 64/100

That is 64% or 64 voters out of 100

Answer:

(5,3)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

i

t (23) ≤ 97 - 23

The minus 23 at the back represents the feet she already descended before what the question wants us to calculate

≤ is used instead of < because it states more than, not "equal or more than" (meaning 97 sharp is fine)

Answer:

The cost per pound is: $5.45 per pound

Step-by-step explanation:

Given

8kg ham costs $12/kg

To determine

Find the cost per pound

As

1 kg = 2.2 pounds  

Weight of 8kg in ponds = 8 × 2.2 = 17.6 ponds

Cost of ham/pound = $12/2.2 pounds

                                 = $5.45 per pound

Thus, the cost per pound is: $5.45 per pound

Answer:

to figure out how much it costs.

Step-by-step explanation:

let me know if I'm wrong

Answer:

b and d

Step-by-step explanation:

Answer:

a) [tex]t_{1} = 12[/tex]

b) The explicit formula

[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]

c) t₁₈  = 69,849,193.096

Step-by-step explanation:

Step(i):-

Given that the geometric sequence

          r = 2.5

Given the fourth term of the  geometric sequence

      [tex]t_{4} = ar^{3} = 187.5[/tex]

⇒ ar³ = 187.5

⇒ a (2.5)³ = 187.5

    [tex]a = \frac{187.5}{(2.5)^{3} } = 12[/tex]

The explicit formula

[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]

Step(ii):-

put n=1

[tex]t_{1} = ar^{1-1} = 12(2.5)^{1-1} = 12 (2.5)^{0} = 12[/tex]

The [tex]18^{th}[/tex] of the geometric sequence

[tex]t_{18} = ar^{18-1} = a r^{17}[/tex]

[tex]t_{18} = 12( 2.5)^{17}[/tex]

t₁₈  = 69,849,193.096

Final answer:-

a) [tex]t_{1} = 12[/tex]

b) The explicit formula

[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]

c) t₁₈  = 69,849,193.096

Answer:

= x(x+1)(x-1)

Step-by-step explanation:

Given the expression x³ - x

On factorizing

x³ - x

= x(x²-1)

Using difference of two square

a² - b² = (a+b) (a-b)

x² - 1

= x² - 1²

= (x+1)(x-1)

The complete factor

x³ - x

= x(x²-1)

= x(x+1)(x-1)

Answer:

Ans : =x

brainliest plsssssss

Step-by-step explanation:

Let's simplify step-by-step.

−2(x+8)+1(3x+16)

Distribute:

=(−2)(x)+(−2)(8)+(1)(3x)+(1)(16)

=−2x+−16+3x+16

Combine Like Terms:

=−2x+−16+3x+16

=(−2x+3x)+(−16+16)

=x

Answer: x=11

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

3.3(x + 1.2) = 40.26

Distribute the 3.3 across the parentheses.

3.3x + 3.96 = 40.26

Combine the constants by subtracting 3.96 from both sides

3.3x = 36.3

Isolate the variable by dividing both sides by 3.3

x = 11

Check your work by plugging x = 11 into the original equation.

3.3(11 + 1.2) = 40.26

3.3(12.2) = 40.26

40.26 = 40.26

Your answer is correct.

Hope this helps!

Answer:

3(3y-1)

Step-by-step explanation:

To find out which expression is equivalent, expand and simplify the options listed to see which one equals 9y-3.

Let's try the second option. To simplify the expression, use the distributive property. So, multiply each term in the parentheses by 3:

[tex]3(3y-1)\\= 9y-3[/tex]

Thus, the answer would be the second option.  

Answer:

Length = 14, Width = 7

Step-by-step explanation:

Step 1:

Length + Length + Width + Width = Perimeter

Step 2:

2w + 2w + w + w = 42

Step 3:

6w = 42

Step 4:

w = 7

Step 5:

7 × 2 = 14

i hope this helps you.     :)

Answer:

Length = 14, Width = 7

Step-by-step explanation:

Answer:

Row D

Step-by-step explanation:

y = 2x - 3

if x = 10

y = 2 * 10 - 3

= 20 - 3

= 17

so row d is incorrect.

Answer: If you spend 7 hours a week studying for English, and 4.5 hours studying for math what is the ratio of time spent studying math to studying English?

Math: English

4.5: 7 Now you divide both sides by 4.5 to get 1 on one side

1: 1.555556

So the ratio of time spent studying math to english is 1 to 1.555556. Hope I helped

Answer:

sheeeeeeesh

Step-by-step explanation:

Answer: (5,-6)

Step-by-step explanation:

Answer:

Corresponding angles

Step-by-step explanation:

<3 and <7 lie on the same side of the transversal line. Each angle also is located on the outside of each parallel lines cut across by the transversal.

Therefore, <3 and <7 are corresponding angles.

Answer:

y = -0.32x + 4.75

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. (For example: y = 2x + 1)

Since you have the slope, or m, is -0.32 and the y-intercept, or b, is 4.75, you can plug those into the equation to get y = -0.32x + 4.75