Number of boys number of girls 11:9 there is 124 more boys than girls work out the number of students at the school

Answers

Answer 1

Answer:

1240

Step-by-step explanation:

Number of boys to a girl is

x:y= 11:9

9x= 11y

There are 124 more boys in the schooll than girls

x= 124+y

Substitute 124+y for x

9(124+y)= 11y

1116+9y= 11y

1116= 11y-9y

1116= 2y

y= 1116/2

y= 558

Number of girls is 558

The number of boys can be calculated as follows

= 558+124

= 682

Hence the total number of students is

= 682+558

= 1240


Related Questions

is 1 23/36 the same thing as 263/144 ? ill give brainiest :)

Answers

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144

Answers

Answer:

12285

Step-by-step explanation:

Of the tangent is 15/20 what’s the sine of the angle

Answers

Answer:

25

Step-by-step explanation:

Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?

Answers

Answer: Not rounded: 39.6 Rounded: 40

Step-by-step explanation:

Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and CD.

Answers

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

[tex]OA = 2x + 9y[/tex]

[tex]OB = 4x + 8y[/tex]

[tex]CD = 4x - 2y[/tex]

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

[tex]AB = (c - a)x + (d - b)y[/tex]

Where:

[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]

[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]

This implies that:

[tex]a =2[/tex]      [tex]b = 9[/tex]     [tex]c = 4[/tex]   [tex]d = 8[/tex]  

So:

[tex]AB = (c - a)x + (d - b)y[/tex]

[tex]AB = (4 - 2)x + (8 - 9)y[/tex]

[tex]AB = 2x -y[/tex]

So, we have:

[tex]AB = 2x -y[/tex]

[tex]CD = 4x - 2y[/tex]

Calculate the slope (m) of [tex]AB\ and\ CD[/tex]

[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]

For AB

[tex]m_1 = \frac{-1}{2}[/tex]

[tex]m_1 = -\frac{1}{2}[/tex]

For CD

[tex]m_2 = \frac{-2}{4}[/tex]

[tex]m_2 = \frac{-1}{2}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

By comparison:

[tex]m_1 = m_2 = -\frac{1}{2}[/tex]

This implies that both lines have the same slope

A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?

Answers

Answer:

1 1/2 tons per hour

Step-by-step explanation:

8 1/4 ÷ 5 1/2

Grapes cost $3.25 per pound. Darius paid a total of $26 for grapes.

How many pounds of grapes did Darius buy?

Answers

Answer:He buys 8 pounds

Step-by-step explanation:

You can either just add up the $3.25 until you get to the end-price, but that wont always work for every problem. The best way is to divide the 26 with the 3.25 in a written devision.

Answer:

he buys 8 pounds

Step-by-step explanation:

you add up until you get to 26 and then count how many times you added :)

what is 3/4x2/3

a.5/12
b. 6/12
c.5/7
d. 6/7

Answers

Answer:

b is the correct answer

Step-by-step explanation:

hope this helps

If y = -2x + 3, find y when x = -3

Answers

Y= -2(-3) + 3

-2 multiplied by -3 is 6 and 6+3 is 9, meaning y= 9 when x= -3

The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the ​bid?
​207,216,225,234

Answers

Answer:

aₙ = 207+9*(n-1)

Step-by-step explanation:

a1 = 207+9*(1-1) = 207

a2 = 207+9*(2-1) = 216

a3 = 207+9*(3-1) = 225

....

aₙ = 207+9*(n-1)

On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 3, negative 4) and continues horizontally to an open circle at (0, negative 4). The second line has a closed circle at (0, 2) and continues horizontally to an open circle at (4, 2). The third line has a closed circle at (4, 3) and continues horizontally through (5, 3) with an arrow instead of an endpoint.
A step function is shown on the graph. What are the domain and range?

Domain:

Range:

Answers

Answer:Answer:

f(-2) = 2

f(0) = 3

f (4) = -1

Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is  

⇒ 2(y - 1) = x + 4

⇒ 2y - 2 = x + 4

⇒ 2y = x + 6

⇒  

Again, the equation of the line passing through the points (0,1) and (4,-1) is

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒  

Therefore, the function is defined as

for x ≤ 0 ........... (1) and  

for x > 0 ............ (2)

Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

Step-by-step explanation:

Answer:

Sorry this is late but here:

Domain: real numbers greater than or equal to -3

Range: equal to -4, 2, and 3

Step-by-step explanation:

I just did it on edge :D

HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies

Answers

25% of the cookies :)

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Can someone please help me with math.

Answers

Answer:

A

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A  

The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle

Answers

Answer:

10w

Step-by-step explanation:

→ Work out the length

4 × w = 4w

→ State width

w

→ Find perimeter

4w + 4w + w + w = 10w

PLEASE PLEASE HELP ME
Use a graph to make a conjecture about the coordinates of the intersection point of the lines y = - 7/9x + 3 and y = 1/3x - 2

Answers

Answer:

(4.5, -0.5)

Step-by-step explanation:

dude just use desmos its so much easier :)

Answer:

Not Perpendicular

Step-by-step explanation:

what is the power times a power
where does the power go in a equation
how do you put a power in a equation

Answers

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

Step-by-step explanation:

sup

Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540

Answers

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

how to solve 6x+4+5X+2=12X-4 to solve for x


Answers

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer: x=2

6x+4+5x+2=12x-4

(6x+5x) (4+2) = 12x-4
11x+6=12x-4
-11 -11
6=x-4
-4
2=x

Which to expressions are equivalent to 3.2 (4p + 8.5)?
3.2 (Ap) + 3.2(8.5)
7.2p+8.5
12.8p+ 27.2
15.7p
40p

Answers

Answer:

A and C

Step-by-step explanation:

A is equivalent to the expression because it just expanded the equation more a bit. It's distributed, but not solved. Like 3.2 (4p +8.5) is the same as 3.2 (4p) + 3.2 (8.5) since in both 3.2 is being distributed or multiplied by both numbers.

C is equivalent to the expression because it simplified the expression more. 3.2 times 4p is 12.8p. 3.2 times 8.5 is 27.2. The expression cannot be simplified.

Hope I helped! :)

Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=

Answers

Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5

One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric content of each item.

Answers

Answer:

Step-by-step explanation:

Let the shake be x and the burrito y

x + 2y = 3040 ---- (1)

2x + y = 2840 ---- (2)

Make x the subject of formula in equation (1)

x + 2y - 2y = 3040 - 2y

x = 3040 - 2y

Substitute x = 3040 - 2y for x in equation (2)

2(3040 - 2y) + y = 2840

6080 - 4y + y = 2840

6080 - 3y = 2840

Subtract 2840 from both sides of the equation and add 3y to both sides of the equation

6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y

6080 - 2840 = 3y

3y = 3240

Divide both sides by the coefficient of x(which is 3)

[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]

y = 1080

Substitute y = 1080 for y in equation (2)

2x + 1080 = 2840

2x = 2840 - 1080

2x = 1760

[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]

x = 880

∴ The caloric content of one shake is 880 and for one burrito is 1080

Hope this helps

4w2 + 3W

- 1

5w - 2

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answers

Question:

A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answer:

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Step-by-step explanation:

Given

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Required

Determine an expression for the area

Area is calculated as:

[tex]Area = Length *Width[/tex]

[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]

Expand

[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]

Collect like terms

[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

A pyramid with an equilateral-triangle base has a volume of 48sqrt{3} cm3 and a height of 16 cm. Find the length of each side of the equilateral triangle.
You get brainliest, i need answers fast.

Answers

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?

Answers

he would have drove for 6 hours and 40 minutes.

Answer:

he is drive 6.4 hours ......

Which three of the following are independent variables?

car payment
tires
gasoline
registration fee
oil
insurance

Answers

Insurance is the answer for your question

I’m confused on what to do next please help

Answers

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

15.00 + 1.75x > 7.50 + 2.25

Answers

Answer:

Step-by-step explanation:

A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire pool. What is the length of the fence? Sunitha solved the problem as shown. A circle with radius 20 feet. A larger circle is 4 feet larger than the smaller circle. Radius = 24 feet. Circumference = 24 pi. What was her error? She should have used 12 in the formula, not 24. She forgot to multiply the radius by 2 in the formula. She did not add the additional fence length to the pool’s radius. She should have used 4 ft in the formula.

Answers

Answer:

she forgot to multiply the radius by 2 in the formula (B)

Step-by-step explanation:

i got it right :)

Answer:

B.

Step-by-step explanation:

Find the center and radius of x2+2x+y2+10y=15

Answers

Answer: (x + 7)^2 + (y + 5)^ =9

Step-by-step explanation:

What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6

Answers

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

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