A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys and y be the number of girls.

Answers

Answer 1

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78  equation 1

y + x  = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783


Related Questions

Answer quickly please

Answers

Answer:

d is the answer

Step-by-step explanation:

ILJ and JKI

CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!!

Answers

Answer:

(1.5,1) is the coordinate for point D

Answer:

point D = (1.5,2)

Step-by-step explanation:

The first number in the parentheses is the X coordinate, in this case it's 1.5

The first second in the parentheses is the Y coordinate, in this case it's 2

HELP I HAVE FSA GIVE ME SOME TIPSSS

Answers

Answer:

Plan ahead for medical expenses.

Spend your money.

Save your receipts.

Use your FSA to pay expenses your health plan doesn't cover.

Use your FSA to reach health plan financial milestones.

Know what your FSA covers.

Know your FSA balance.

Step-by-step explanation:

Answer:

Okay so I just took the FSA and my biggest tip is  to just relax and don't overthink. Another tip that is kinda weird is to  chew gum/mint. They normally hand it out to you but stopped for coronavirus.  It helps you focus and it helps calm you. Make sure you double check your answers and if you don't know a question go back over it and re read it.  Also pay attention to other questions because sometimes a question from the same passage helps you with a previous one.  You're going to do well and good luck!

Step-by-step explanation:

3-(1/3) to the 4th power

Answers

Answer:

if im reading it right its 8.3521

Step-by-step explanation:

A regular octagon with side length a cm can be made by cutting off
the four corners of a square board. How long should the sides of the
board be?

Answers

Answer:

one side = [tex]\frac{a\sqrt{2}}{2}[/tex]

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem,  we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = [tex]\frac{a^{2} }{2}[/tex]

x = [tex]\frac{a}{\sqrt{2}}[/tex]

which, if you rationalise the denominator, you get:

x = [tex]\frac{a\sqrt{2}}{2}[/tex]

3⋅2^x/5=150 Which of the following is the solution of the equation?

Answers

Answer:

x=7.965784

Step-by-step explanation:

x = 7.97 (rounded to the nearest hundredth)

There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly
select another card. What is the probability that the first card is an even number and the second card is less than 3?
Write your answer as a fraction in simplest form.

Answers

Answer:

1/10.

Step-by-step explanation:

The probability of getting an even card out of 10 cards numbered 1 - 10 is 1/2. The even numbers available are 2, 4, 6, 8, and 10 while the odd ones available are 1, 3, 5, 7, and 9. So half the outcomes could come out even.

The probability the second card is less than two is 1/5 (2/10 simplified). Since there are 10 cards with numbers 1-10, only two cards will have numbers less than 3, 1 and 2.

To find the total probability, multiply the two. (1/2) * (1/5) = 1/10. There is a 1 out of 10 chance that the first card is even and the second card is less than 3.

Plz help i am giving 30 points and dont put random anwser for points

Answers

Answer:

6 students

Step-by-step explanation:

first you wanna convert the 2/3 into 4/6 cause that makes it easier then add the 1/6 to it  making it 5/6 and finally 5/6 of 36 is 30 and 36-30=6

Answer:

6 students

Step-by-step explanation:

Blue shirts: 1/6*36 = 36/6= 6

white shirts: 2/3*36= 72/3= 24

Blue + white= 24+6= 30 Students

36-30= 6 students didn't wear blue or white

Can get a little help

Answers

Good luckvsvsvsbsbsjsjhsbsbsbsb

A car motercycle leaves at noon from the same location, heading in the same direction. The average speed of the car is 30mph slower than twice the speed of the motorcycle.

Answers

Answer:

speed of motorcycle = 40 mph

speed of car = 50 mph

Step-by-step explanation:

Here is the complete question

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.

Speed = distance / time

This question would be solved using simultaneous equation

let m =  average speed of the motorcycle

c = average speed of the car

c = 2m - 30  equation 1

20 =(c - m) x 2 equation 2

insert equation 1 into equation 2 and divide through by 2

10 = (2m - 30) - m

solve for m

m = 40 mph

substitute for m in equation 1

2(40) - 20 = 50 mph

Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on to the soccer field. The soccer field is 1000 meters from her home. How far east did Leah walk?

Answers

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

Function f is composed of an exponential piece and a polynomial piece.
Which inequality represents the domain of the exponential piece?
A) x ≥ -1
B) x > 1
C) x > 3
D) x ≤ -2

Answers

Answer:

Step-by-step explanation:

The exponential piece is to the left, and starts at -2. So all its x values are less than or equal to -2

Answer:

it's D you are very welcome :)

Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score? Write and solve the equation.

Answers

Answer:

Andre scored 14 points

Step-by-step explanation:

D = A - 9

N = 2D = 10

2D = 10

D = 5

5 = A - 9

14 = A

Answer:

Diego scored 14 points

x = 14

What is the value of x in the equation −8 + x = −2? (1 point) Group of answer choices −10 −6 6 10

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If you add 8 on each side to get x by itself you'll get

x=6

An airplane's altitude in feet during its descent can be found using the equation y=-150x + 30,500. After new government regulations become law, the descent isnow modeled by the equation y=-150x + 30,000. Which statement describes this change?


The airplane starts its descent from an altitude 500 feet lower.

The airplane descends 500 feet per horizontal mile slower.

The airplane descends 500 feet per horizontal mile faster.

The airplane starts its descent from an altitude of 500 feet.

Answers

Answer:

The airplane would starts its descent from an altitude 500 feet lower.

Step-by-step explanation:

The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.

Evaluate the six trigonometric functions of the angle 0



is right

Answers

Answer:

1. Sine θ = 1/3

2. Cos θ = 2√2 / 3

3. Tan θ = √2 / 4

4. Cosec θ = 3

5. Sec θ = 3√2 / 4

6. Cot θ = 2√2

Step-by-step explanation:

We'll begin by determining the adjacent. This can be obtained as follow:

Hypothenus (Hypo) = 9

Opposite (Opp) = 3

Adjacent (Adj) =?

Hypo² = Adj² + Opp²

9² = Adj² + 3²

81 = Adj² + 9

81 – 9 = Adj²

72 = Adj²

Take the square root of both side

Adj = √72

Adj = 6√2

Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:

1. Determination of Sine θ

Hypothenus = 9

Opposite = 3

Sine θ =?

Sine θ = Opposite / Hypothenus

Sine θ = 3/9

Sine θ = 1/3

2. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 9

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 9

Cos θ = 2√2 / 3

3. Determination of Tan θ

Opposite = 3

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 3 / 6√2

Tan θ = 1 / 2√2

Rationalise

(1 / 2√2) × (2√2 /2√2)

= 2√2 / 4×2

Tan θ = √2 / 4

4. Determination of Cosec θ

Sine θ = 1/3

Cosec θ =?

Cosec θ = 1 / Sine θ

Cosec θ = 1 ÷ 1/3

Cosec θ = 1 × 3/1

Cosec θ = 3

5. Determination of sec θ

Cos θ = 2√2 / 3

Sec θ =?

Sec θ = 1 / Cos θ

Sec θ = 1 ÷ 2√2 / 3

Sec θ = 1 × 3 / 2√2

Sec θ = 3 / 2√2

Rationalise

= (3 / 2√2) × (2√2 / 2√2)

= 3 × 2√2 / 4×2

Sec θ = 3√2 / 4

6. Determination of Cot θ

Tan θ = √2 / 4

Cot θ =?

Cot θ = 1 / Tan θ

Cot θ = 1 ÷ √2 / 4

Cot θ = 1 × 4 / √2

Cot θ = 4 / √2

Rationalise

= (4 / √2) × (√2 / √2)

= 4√2 / 2

Cot θ = 2√2

Find lim h 0 f(2+h)-f(2)/ h if(x)=x^ 2 .

Answers

Answer:

4

Step-by-step explanation:

please help! will give brainliest! review the graph of function f(x) for which values of c does lim f(x) not exist?
(graph and answer choices pictured)

Answers

Answer:

-2

Step-by-step explanation:

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

i used the points (0,-2) and (3,-1) to find the slope:

(-2--1) / (0-3) = -1/-3 or 1/3

if 5article cost ed 1750 how many more arrivals can be bought with 2800​

Answers

Answer:

3 more arrivals

Step-by-step explanation:


Can someone help me find the diameter of the copper ball ty

Answers

Answer:

The answer is 346.185 if its diameter is 22.

equation of the line through (5,-6) and a slope of -1​

Answers

Answer:

y=x-11 or in point slope form y+6=1(x-5)

I need help please. Find 4 solutions of the equation (sin x)^2 = 1/4 for x between 0 and 360. Please show how you found it if not u will be reported.

Answers

Step-by-step explanation:

(sinx)²=1/4sinx=√1/4sinx =1/2sinx=sin30°x=30°

hope it helps.

Answer:

x = 30, 150, 210, 330 degrees.

Step-by-step explanation:

(sin x)^2 = 1/4

sin x = +/- √1/4

sin x = +/- /2

In the first quadrant  x =  angle whose sine is 1/2 = 30 degrees.

There is also a solution in the other 3 quadrants.

In second quadrant  where sine = 1/2  , x = 180-30 = 150 degrees,

In 3rd and 4th where sine x = -1/2 the angles are 210 and 330 degrees.

PLZ HELP! QUESTIONS ARE BELOW! :D

Answers

Answer:

1) 243 in.²

Step-by-step explanation:

1)

A = 18 in. * 18 in. - 9 in. * 9 in. = 243 in.²

Help! This is due today and I'm stuck on the last problem.
Brainiest for best answer.
NO LINKS! If you put a link, I will report you.
Find the area of the shaded region rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Square

519450.2

Holes

Semi-circle: 1/2*pi*r^2

diameter = 700/2 = 350 =radius

1/2*pi*350 = 175*pi

Triangle

1/2 b*h

1/2 200*400

100*400

40000

Take out the semi circle and triangle

560000-40000-175*pi

520000-175*pi = 519450.2

Convert 2 3/5 cups to pints.

Answers

Answer:

Decimal Form: 1.3

Exact Form: 13/10

Mixed Number Form: 1 3/10

Step-by-step explanation:

1 pint = 2 cups

Convert the mixed fraction into an improper fraction. 2 3/5 = 13/5 cups

You divide 13/5 by 2, since there are 2 cups in one pint, and you are trying to get pints. 13/5 divided by 2:

Decimal Form: 1.3

Exact Form: 13/10

Mixed Number Form: 1 3/10

(15 points!!) Which transformation forms a mirror image of a figure on a coordinate plane?

Answers

Answer:

BLUEE

Step-by-step explanation:

IM HOPING THIS IS CORRECT

PLEASE HELP
*NO LINKS*

Answers

Answer:

its the 2nd one the answer is 1 because 2 times 1 equals one plus 3=1

Step-by-step explanation:

What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters
and a base diameter of 4 centimeters?

Answers

Answer:

Volume = 200.96 cm³

Step-by-step explanation:

r = 4/2 = 2

Volume = πr²h = (3.14)(2²)(16) = 200.96 cm³

Find the area of this circle.
Use 3.14 to approximate
A = ar2
20 ft

Answers

Answer:

314

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314

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