In a different test, the mean score of 50 students is 54%
The students are split in two groups. Group A and Group B.
The mean score for Group A is 60% and the mean score for Group B is 50%
How many students are in Group B and how many are in Group B?

Check the picture below.

let's recall that a circle has 360°, so that means every two radii coming from the center of the hexagon, will split those 360° in 6 even pieces, 360/6 = 60, namely those two radii make up a 60° central angle, as you see in the picture.

running a perpendicular from the center, we end up with a 30-60-90 triangle, as you see there, and thus we can use the 30-60-90 rule to get the length of "a".

now, keeping in mind that the perimeter of the polygon is simply 4+4+4+4+4+4 = 24.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}dp~~ \begin{cases} d=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ d=2\sqrt{3}\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(2\sqrt{3})(24)\implies A=24\sqrt{3}[/tex]

Answer:

Month 4

Step-by-step explanation:

Given : Jordan is saving for a new laptop that costs $325.

            Equation: d=80+75m

To Find: Which is the first month in which Jordan will have saved enough money to buy the laptop?

Solution:

Equation: [tex]d=80+75m[/tex]

where d is the total amount he has saved so far.

m shows the number of months he has been saving.

Now we are given that he needs to save $325.

So, To find the first month in which Jordan will have saved enough money to buy the laptop

Substitute d = 325 in the equation:

[tex]325=80+75m[/tex]

[tex]245=75m[/tex]

[tex]\frac{245}{75}=m[/tex]

[tex]3.266=m[/tex]

Thus,the first month in which Jordan will have saved enough money to buy the laptop is Month 4.

Answer:

Month 4 or C

Step-by-step explanation:

PogChamp

Answer:

x = 12.8

Step-by-step explanation:

To find the value of x, set up a proportion between the two similar triangles. Then solve for x.

[tex]\frac{32}{32+x} = \frac{40}{56}[/tex]

Solve by cross multiplying and isolating x.

32(56) = 40(32+x)

1792 = 1280 + 40x

512 = 40x

12.8 = x

Answer:

D

Step-by-step explanation:

Formula

V = 4/3 * pi * r^3

Givens

pi = 3.14

r = 6

Solution

V = (4/3) * 3.14 * 6^3           Expand the cube

V = (4/3) * 3.14 * 216           Multiply by 3.14

V = (4/3) * 678.24               Multiply by 4

V = 2712.96 / 3                   Divide by 3

V = 904.32

Answer:

it is the 3rd choice

Step-by-step explanation:

3

➷ An irrational number cannot be written in the form of a fraction.

As you can see, the first two are already in fraction form, so it can't be those.

The square root of 4 is 2 which can be written as 2/1

This leaves the square root of 3, which is the answer.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

can you attach a picture

Step-by-step explanation:

Do u have a picture so i could solve it

he spent 15 mins for lunch. I wish you used a comma for 3, 70 min classes lol. tripped me up a sec

Final answer:

Bennett spent 20 minutes eating lunch, which was calculated by subtracting the time he spent in classes and during breaks from his total time at school.

Explanation:

To determine how long Bennett spent eating lunch, we need to subtract the time he spent attending classes and the breaks between classes from the total time he was at school. Bennett attended 3 classes, each lasting 70 minutes, so the total class time is 3 classes × 70 minutes/class = 210 minutes. There are 2 breaks between classes, each lasting 5 minutes, adding up to 2 breaks × 5 minutes/break = 10 minutes.

Total time spent on classes and breaks is 210 minutes + 10 minutes = 220 minutes or 3 hours and 40 minutes. Since Bennett was at school for 4 hours (or 240 minutes), the time spent eating lunch can be calculated by subtracting the class and break time from the total time at school: 240 minutes - 220 minutes = 20 minutes.

Therefore, Bennett spent 20 minutes eating lunch.

Divide the total subjects by total days:

150 / 28 = 5.357 per day. Round the answer as needed.

Answer: Approximately 5 subjects per days.

Step-by-step explanation:

To solve the exercise and calculate the number of subjects you need to do per day you must keep on mind the information given in the problem. You know that:

- The total number of subjects is 150.

- You had 28 days left.

Therefore, you need to divide 150 subjects by 28 days.

Then, you obtain the following result:

[tex]=\frac{150subjects}{28days}=5.35\frac{subjects}{day}[/tex]≈ 5 subjects per days.

Answer:

A, B, and C

Step-by-step explanation:

We can use guess-and-check.

A rectangle with the area 24 cm² has the sides that make the product of 24  (A = l * w)

1 * 24 is 24.

2 * 12 is 24.

3 * 8 is 24.

4 * 20 is 80.

12 * 12 is 144.

Answer:

The percentage increase in the cost of her car insurance is 260.4%

Step-by-step explanation:

First, we are going to find by how much the insurance increased:

We know that this year she pays £883 and the last year she paid £245, so

insurance increase = £883 - £245

insurance increase = £638

Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%

percentage increase = [tex](\frac{638}{245} )[/tex](100%)

percentage increase = (2.604)(100%)

percentage increase = 260.4%

We can conclude that Jo's car insurance cost increased 260.4%

Answer:

Yes, because a quadrilateral have four sided figure. So True.

Answer + Explanation:

True, because all quadrilaterals are four-sided figures. Squares have four equal sides, so they are regular quadrilaterals.

Answer:

621

Step-by-step explanation:

Use PEMDAS.

15 + 100 * [12 - 6] + 6

15 + 100 * 6 + 6

15 + 600 + 6

621

Answer:

[tex]\boxed{\bold{621}}[/tex]

Step By Step Explanation:

Follow PEMDAS Order Of Operations

[tex]\bold{12-\left(12-3\cdot \:2\right): \ 6}[/tex]

[tex]\bold{15+100\cdot \:6+6}[/tex]

[tex]\bold{100\cdot \:6: \ 600}[/tex]

[tex]\bold{15+600+6}[/tex]

[tex]\bold{15+600+6: \ 621}[/tex]

[tex]\bold{621}[/tex]

ANSWER

B. x=3,y=2

EXPLANATION

The given equations are

[tex]x - 3y = - 3...(1)[/tex]

and

[tex]x + 3y = 9...(2)[/tex]

We add the two equations to eliminate y.

This implies that that:

[tex] x + x - 3y + 3y = 9 + - 3[/tex]

Simplify:

[tex]2x = 6[/tex]

Divide both sides by 2.

[tex]x = 3[/tex]

We put x=3 into any of the equations to find y.

Let us substitute x=3 into equation (1) to get:

[tex]3 - 3y = - 3[/tex]

[tex] - 3y = - 3 - 3[/tex]

[tex] - 3y = - 6[/tex]

Divide both sides by -3 to get;

[tex]y = 2[/tex]

The solution is therefore x=,y=2.

Answer:

Final answer is 1/3.

Step-by-step explanation:

Given that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

Since she used 5/9 of the tomatoes to make pasta sauce.

Then remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

Square on both sides..

x=16 !!!

[tex] \sqrt{x} = - 4 \\ { \sqrt{x} }^{2} = {( - 4)}^{2} \\ x = 16 [/tex]

(-) +(-) =+

Answer:

[tex]y=\frac{3}{2}x[/tex]

Step-by-step explanation:

The given line passes through the origin.

Its equation is of the form;

[tex]y=mx[/tex]

where

[tex]m=\frac{3}{2}[/tex] is the slope of the line.

The required equation is

[tex]y=\frac{3}{2}x[/tex]

Answer:   [tex]f(x)=\dfrac{3}{2}x[/tex].

Step-by-step explanation:

Assume one block in the graph takes one value.

From the given graph, it can be seen that the line is passing through two points (0,0) and (2,3).

We know that the equation of a line passing through points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Then , the equation of a line passing through points (0,0) and (2,3) is given by :-

[tex](y-0)=\dfrac{3-0}{2-0}(x-0)\\\\\Rightarrow y=\dfrac{3}{2}x[/tex]

Hence, the equations represents the given graph [tex]f(x)=\dfrac{3}{2}x[/tex].

Answer:

10 -6x

Step-by-step explanation:

We cannot solve since there is no equal sign, we can only simplify

(-3 + 5) - (6x - 8)

Combine the like terms in parentheses

(2) - (6x - 8)

Distribute the minus sign

2 -6x --8

2 -6x +8

Combine like terms

2+8 -6x

10 -6x

set it equal to 0

(-3+5)-(6x-8)=0

2-6x+8=0

isolate x

-6x=-2-8

-6x=-10

cancel negatives

6x=10

divide by 6

x= 10/6

reduce:

x = 5/3

Answer:

(x+2)(3x+1)

Step-by-step explanation:

the factored form of the quadratic expression 3x² + 7x + 2 is (3x + 1)(x + 2).

To factor the quadratic expression 3x² + 7x + 2, you can use the factoring method or apply the quadratic formula. Let's use the factoring method:

1. Look for two numbers that multiply to give the product of the coefficient of x² (which is 3) and the constant term (which is 2). These numbers should also add up to the coefficient of x (which is 7).

The two numbers that meet these conditions are 1 and 6. They multiply to give 6, and they add up to 7.

2. Rewrite the quadratic expression using the two numbers found in step 1:

3x² + 1x + 6x + 2

3. Group the terms in pairs and factor out the greatest common factor from each pair:

x(3x + 1) + 2(3x + 1)

4. Notice that both pairs have a common factor of (3x + 1). Factor out this common binomial:

(3x + 1)(x + 2)

So, the factored form of the quadratic expression 3x² + 7x + 2 is (3x + 1)(x + 2).

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ANSWER

[tex]n = 8 \: or \: n = - 2[/tex]

EXPLANATION

The given function is

[tex]f(n) = {n}^{2} - 6n - 16[/tex]

To find roots of the equation, we set the equation to zero.

[tex]{n}^{2} - 8n + 2n- 16 = 0[/tex]

Split the middle term with -8n+2n

We now factor to get,

[tex]n(n - 8) + 2(n- 8) = 0[/tex]

[tex](n - 8)(n + 2) = 0[/tex]

Using the zero product property,

[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]

[tex]n = 8 \: or \: n = - 2[/tex]

Answer:

7

Step-by-step explanation:

Since both chords are congruent and the distance of the x and 7 are equidistant from the center, then the value of x will also be 7.

Left side chord will have a value of y + 10

The right side chord will have a value of y + 10

Now since the right angles on both sides are equal, then x = 7.

The value of x is 7.....

Answer:

Total distance = 53/4 miles = 13.25 miles

Step-by-step explanation:

Sage hiked from the start of the trail to Lookout Point.

Distance = 8 3/4 miles = 35/4 miles

She then hiked back to Giant Boulder

This means she traveled an additional

8 3/4 miles  - 4 1/4 miles = 35/4 mi - 17/4 mi = 18/4 mi = 9/2 mi

The total distance traveled by sage is the sum of both trajectories

Total distance = 35/4 miles + 9/2 miles =  53/4 miles

Total distance = 13.25 miles

The length of the diagonal path is approximately 70.71 yards.

To find the length of the diagonal path that divides the square park in half, we can use the Pythagorean theorem. A square park of 50 yards on each side means we are dealing with a right-angled triangle with both legs equal to 50 yards.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):

[tex]c^2 = a^2 + b^2[/tex]

Here, both a and b are 50 yards, so the equation becomes:

[tex]c^2[/tex] = 502 + 502 = 2500 + 2500 = 5000

Now we find the square root of 5000 to get the length of the diagonal:

c = √5000 ≈ 70.71 yards

Therefore, the length of the diagonal path is approximately 70.71 yards.

Answer:

73.5

Step-by-step explanation:

To find the mean, sum the data and divide by the amount of data

mean = [tex]\frac{77+82+87+85+32+78}{6}[/tex]

          = [tex]\frac{441}{6}[/tex] = 73.5

The answer is 73.5. Just add all the numbers and divided by how many numbers there are. So you would add all the numbers and then divided by 6 since there are 6 numbers.

The solution of given system of linear equations are x = 1 and y = -3.

Given system of linear equations are,

                                       [tex]4x+3y=-5 ..........(1)\\\\ -x+3y=-10..............(2)[/tex]

Subtract equation 2 from equation 1.

            [tex]4x+3y-(-x+3y)=-5+10\\ \\ 4x+3y+x-3y=5\\ \\ 5x=5\\ \\ x=5/5=1[/tex]

Substituting value of x in equation 1.

          [tex]4(1)+3y=-5\\ \\ 3y=-5-4=-9\\ \\ y=-9/3=-3[/tex]

Hence, The solution of given system of linear equations are x = 1 and y = -3.

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Answer: 30-40-50, or B

Step-by-step explanation:

Think of this equation of a right triangle. We know that the hypotenuse is 50 feet and leaning.

Since right triangles follow a formula is 3-4-5, then, 30, 40 and 50 is the answer.

If the 50-foot ladder is leaning against a wall. Statement B about the base of the ladder is true.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

It is given that, a 50-foot ladder is leaning against a wall.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The hypotenuse is 50 feet long and slopes, as is known.

Since right triangles have a formula of 3-4-5, the correct response is 30, 40, and 50.

Thus, if the 50-foot ladder is leaning against a wall. Statement B about the base of the ladder is true.

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Answer:

10:00 AM

Step-by-step explanation:

Frank drove at a speed of 50 mph, and traveled a distance of 150 miles.  This means he traveled for

150/50 = 3 hours.

7 AM + 3 hours = 10 AM

The solution is, at 10:00 AM Frank will arrive at the airport.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

given that,

Frank left his house at 7 a.m. and drove to the airport at a speed of 50 mph.

Lance left his house at 6 a.m. and drove to the same airport at a speed of 55 mph.

Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.

so, we get,

Frank drove at a speed of 50 mph,

and traveled a distance of 150 miles.  This means he traveled for

150/50 = 3 hours.

Thus, it takes Frank 3 hours to reach the airport.

so, we get,

since he departed at 7:00 AM, he will arrive at the airport at

7 AM + 3 hours = 10 AM

Hence, The solution is, at 10:00 AM Frank will arrive at the airport.

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Answer:

If 300 lunches were served, then 90 students choose milk.

Step-by-step explanation:

The graph shows that 30% of students choose milk. So when 300 lunches are served, 300*.30 students choose milk. 300*.3 or 300*30% is equal to 90.

The answer for this question is the first option "if 300 lunches were served then 90 students would have milk".

A) If 300 lunches were served then 90 would chose milk as milk is represented and shown to have a popularity of 30%. 30% of 300 is equivalent to 90 making the statement true

B) If 200 lunches were served then 90 would choose milk however this is false as milk at 30% as votes and 30% of 200 is not 90

C) if if 300 lunches were served then 30 more students would chose water over juice however water has a population of 40% and 40% of 300 is 120 and juice has a population of 10% and 10% of 300 is 30 and 120-30=90 not 30.

D) if 200 lunches were served than 10 more students would choose tea over juice. Tea has a population of 20% and 20% of the 200 is 40 and juice has a population of 10% and 10% of 200 is 20 and 40-20=20 not 10

The only correct statement is If 300 lunches were served then 90 would chose milk.

Answer:

Just took the test test it is A 100%

Step-by-step explanation:

The relationship between the two triangles can be described as ΔMLN ~ ΔFGH by the third angle theorem, ∠M ≅ ∠F, ∠L ≅ ∠G, and ∠N ≅ ∠H.

Given two triangles.

The triangles are named as LMN and FGH.

Also, two of the angles of each triangle is given.

For triangle LMN,

∠L = 36° and ∠M = 51°

Similarly, for triangle FGH,

∠G = 36° and ∠F = 51°

So, for both triangles,

∠L = 36° = ∠G

∠M = 51° = ∠F

Using the angle sum property of triangles,

∠N = ∠H = 180° -(36° + 51°) = 93°

That is, all three angles of triangle LMN is equal to triangle FGH.

So, by the third angle theorem, ΔMLN is similar to ΔFGH.

Hence, the correct option is A.

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