There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast​

Answer:

solution,

Let the points be A and B

A(-4,-8)--->(X1,y1)

B(-4,12)---->(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {( - 4 - ( - 4)}^{2} + 12 - ( - 8) ^{2} } \\ \: \: \: \: = \sqrt{ {( - 4 + 4)}^{2} + {(12 + 8)}^{2} } \\ = \: \: \: \: \sqrt{ {(0)}^{2} + {(20)}^{2} } \\ \: \: \: \: = \sqrt{0 + 400} \\ \: \: \: = \sqrt{400} \\ \: \: = \sqrt{ {(20)}^{2} } \\ \: \: = 20 \: units[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

Step-by-step explanation:

It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.

Our answer is P= 16/24=2/3=66,66%

Answer:

B. [tex]y = 3x^2 -6x -3[/tex]

Step-by-step explanation:

Well, we can use the following formula to find the x coordianate of the vertex  -b / 2a.

So let’s start with a)

-6 / 6

-1

A. is wrong because its vertex starts with -1.

b)

6 / 6

1

now that we have our x coordinate we can plug it into the equation to get our y.

3 - 6 - 3

So the y coordinate is -6.

Hence, the answer choice B. [tex]y = 3x^2 -6x -3[/tex]

look at the image below.

Answer:

0.03 feet

Step-by-step explanation:

d = 0.03r² + r

When d = 0: 0.03r² + r = 0

r(0.03r + 1) = 0

∴ r = 0

When r = 0: d = 0.03 feet

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Data provided in the question

There is a total group of 45 students

Art + biology = 5

8 study biology but not Art

Neither subject studied = 9

Based on the above information, the probability of student that studies

art and biology is

Since there is a group of 45 students out of which 5 study both art and biology

So, the ratio is

4: 5

Now divide both sides by 5

So, now the ratio is

9:1

Therefore it means the probability is [tex]\frac{1}{9}[/tex]

Answer:

picture is attached

Step-by-step explanation:

there are many options but this is one

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.

As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

Answer:

a I believe sorry if I'm wrong

Answer:

I think its B: $56.26

Answer:  The answers are in the steps

Step-by-step explanation:

x         y        value of y/x

-3        -3            1

1           1             1

3           3             1

Answer:

Number of lawns mow in 49 hours = 31.5 lawns

Step-by-step explanation:

Given:

Number of lawns mow = 9

Time taken = 14 hours

Find:

Number of lawns mow in 49 hours

Computation:

Time taken for 1 lawn = 14 / 9

Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn

Number of lawns mow in 49 hours = 49 / (14/9)

Number of lawns mow in 49 hours = 31.5 lawns

solution,

X=5

[tex]y = \frac{x + 9}{x - 3} \\ = \frac{5 + 9}{5 - 3} \\ = \frac{14}{2} \\ = 7[/tex]

hope this helps...

Good luck on your assignment..

Answer:

When x=5

Y=(5+9)÷(5-3)

= 14 ÷2

= 7

Answer:

g=number of girls in the class b=number of boy in the class

g+b=28

g=11+b

Answer:

a. 1/12 (hope it help)

Step-by-step explanation:

5sec/60sec=1/12

Answer:

The length of the arc is 89 yards

Step-by-step explanation:

Mathematically, to find the length of an arc, we use the formula below;

Length of an arc = Theta/360 * 2 * pi * r

In this case, Theta = 300 and r = 17 yards

Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard

Answer:

yes

Step-by-step explanation:

Answer:

Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.

Step-by-step explanation:

I took the K12 test :)

Answer:

In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.

Answer:

(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15

3x4 - 2x3 - 4x2-5 is equals to -7

Step-by-step explanation:

1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)

3 x 4 = 12     5 x 2 = 10     12 - 10 = 2     2 - 4 = -2

2 x 3 = 6     6 x 2 = 12     12 + 1 =  13

-2 - 13 = -15

2.)3x4 - 2x3 - 4x2-5 is eaquals to -7

3 x 4 = 12     2 x 3 = 6     12 - 6 = 6     4 x 2 = 8

6 - 8 = -2     -2 - -5 = -7

Those were my answers

Answer: No solution

Step-by-step explanation:

This system of equation has no solution because...

-3x+4y=12

1/4x-1/3y=1

[tex]-3x+4y-4y=12-4y[/tex]

[tex]-3x=12-4y[/tex]

[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]

[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]

[tex]x=-\frac{12-4y}{3}[/tex]

substitute

[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]

[tex]-1=1[/tex]

-1=1 is false so therefore this system has no solution

hello,

the first term is 250 so this is the initial invested amount

[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]

is to compute 8% annual interest compounded monthly (there are 12 months in a year)

and then multiply by 4 means that it is computed for 4 years so

finally the answer is

$250 is invested at 8% annual interest compounded monthly for 4 years

hope this helps

Answer:

The answer is A) 4.84 cm :P

Step-by-step explanation:

Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )

I hope I helped you :P

Answer:

The answer is A.

Step-by-step explanation:

Answer:

It's pretty easy! You can manipulate the numbers to match the equation.

For example,

x + 8y + 6x - 9y = 7x - y

5x + 2x - 2y + y = 7x - y

10x + 7y - 3x - 8y = 7x - y

The other equivalent expressions that are equal to 7x - y​ could be; x + 8y + 6x - 9y = 7x - y, 5x + 2x - 2y + y = 7x - y and 10x + 7y - 3x - 8y = 7x - y

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.

We have been given the expression as;

6x + 7y + x-8y = 7x - y

When someone asks to solve an equation, then it usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

The other equivalent expressions that are equal to 7x - y​ could be;

x + 8y + 6x - 9y = 7x - y

5x + 2x - 2y + y = 7x - y

10x + 7y - 3x - 8y = 7x - y

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

Answer:

BF=16

Step-by-step explanation:

To find BF, (I will be calling it x) you need to use the equation

CF/FB=CE/EA Substitute

FB=x

24/x=18/12 cross multiply

18x=288 divide both sides by 18

x=16

FB=16

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.

Have a good day! :)

Hey there! :)

Answer:

a) 24 cm²

b) 40.04 cm²

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

Use the formula A = l × w to solve for each rectangle's area:

a)

8 × 3 = 24 cm².

b)

5.2 × 7.7 = 40.04 cm²

Answer:

a) 24

b) 40.04

Step-by-step explanation:

a) Area of a rectangle: length x width

length = 8

width = 3

Plug these values into the equation above:

8 x 3 = 24

b) Same steps as above except with different values for length and width

5.2 x 7.7 = 40.04

Answer:

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

The factored form of the trinomial = (x+2) (x+8)

Step-by-step explanation:

ax² + bx + c = 0

This is in the form of a trinomial algebraic expression

Given trinomial: = ax² + 10x + 16

Where a = 1, b= 10, c= 16

To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.

Using factorisation method:

ac = a×c = 1×16 = 16

Let's find the factors of 16 whose sum gives +10 and product gives +16

Factors of 16 = 1, 2, 8, 16

+2 + +8 = +10

+2 × +8 = +16

The factors are +2 and +8

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

x² + 10x + 16 = x + 2x + 8x + 16

x² + 10x + 16 = x(x+2) + 8(x+2)

= (x+2) (x+8)

The factored form of the trinomial = (x+2) (x+8)

Answer:

(x+2) (x+8)

Step-by-step explanation:

Answer:

i. weight of wastage(kg) = 179.775 kg

ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Step-by-step explanation:

A land of 1000 sq. meter  is used to cultivate 765 kg of rice with wastage of 23.5%.

i. The wastage in percentage is 23.5% but the weight of the wastage in weight is  23.5% of 765 kg

weight of wastage = 23.5/100 × 765

weight of wastage = 17977.5/100

weight of wastage(kg) = 179.775 kg

ii. weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Answer:

x= -4

Step-by-step explanation:

2x+4=6x+20

so 2x-6x=20-4

divide both sides by -4

-4x/-4 = 16/4

=-4

Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.

He divides his usable space into four congruent rectangular patches.

If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

Learn more about congruent triangles here:

https://brainly.com/question/16921692

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Answer:

y = 13

Step-by-step explanation:

Step 1: Distribute

3/2y - 3/2 = y + 5

Step 2: Subtract y on both sides

1/2y - 3/2 = 5

Step 3: add 3/2 on both sides

1/2y = 13/2

Step 4: Divide both sides by 1/2

y = 13

Answer:

y = 13.

Step-by-step explanation:

3/2(y-1) = y+5

3/2y - 3/2 = y + 5

3/2y - y = 5 + 3/2

1/2y = 6 and 1/2; 6.5; 13/2

y = 13.

To check out work...

3/2(13 - 1) = 13 + 5

3/2(12) = 18

3 * 6 = 18

18 = 18

On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.

Hope this helps!

Answer: Find a common denominator on the right side of the equation

Step-by-step explanation:

You can see that they found the common denominator of 4 therefore that is the correct answer

Answer:

0.08

Step-by-step explanation:

The probability that the bus is late on any day is 0.2

The probability that it rains tomorrow is 0.4

The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.

Therefore:

P(late & rains) = 0.2 * 0.4 = 0.08

Answer:

The probability that it rains and the bus is late is 1/7

Step-by-step explanation:

Practically, we can apply the Bayes’ theorem to solve this.

Mathematically, we use the Bayes’ problem as follows;

P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]

Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6

P(on time) = 1-P(late) = 1-0.2 = 0.8

Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2

Substituting these values into the Bayes’ equation above, we have;

P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)

= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7