there are 320 students
36 more boys than girls
work out the fraction of boys to girls

Answers

Answer 1

Answer:

89 boys to 71 girls, 89:71, or 89/71

Step-by-step explanation:

x+x+36=320

2x+36=320

2x=284

x=142

This means that there are 142 girls.

142+36=178 boys

Simplify the fraction by dividing both numbers by two.

Answer 2
Substitute boys in the equation for b and girls g
b+g=320
b=g+36 (because there are 36 more boys than girls)
g+36+g=320
2g+36=320
2g=320-36
2g=284
g=284/2
g=142
Since b=g+36
b=142+36
b=178

Related Questions

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
What is the height of the cylinder?
2 units
4 units
6 units
8 units

Answers

Answer: C 6 units

Step-by-step explanation: Edg

30 Points

Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides to use the scale 1 in. = 4
in. Is this a reasonable scale?

Answers

Step-by-step explanation:

1:4=.25 or 25%

so 12/47=.25 or 25%

24/120=.2 or 20%

that ratio does not match the height ratio

Sarah's scale is reasonable.

What is a scale drawing?

A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.

Is Sarah's scale reasonable?

The first step is to determine the how larger the paper is in terms of the painting.

48 / 12 = 4

120 / 24 = 5

This makes her scale of 1 in to 4 in reasonable.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

ASNWER ALL FOUR YES AND NO ANSWERS FOR 25 POINTS

Answers

Answer:

Yes

No

No

Yes

Step-by-step explanation:

Cosine of theta is adjacent over hypotenuse.

Sine of theta is opposite over hypotenuse.

hii someone pls help me, I’m confused

Answers

Answer:

A, B, and D

Step-by-step explanation:

A, B, and D

Answer:

m²+m²+m²+m²

m⁸

4m²

Step-by-step explanation:

The equation is basically asking what is the same as m² times 4

The table below shows how the length of Alex's
lizard changes over time.
Age
(years)
Length
(centimeters)
1
1
5.0
2.
7.4
3
9.8
4
12.2
5
14.6
What is the slope of the table?

Answers

Answer: The domain is all possible inputs and the inputs in this are {1, 2, 3, 4, 5}

Step-by-step explanation:

Inputs(Domain) 1, 2, 3, 4, 5         Outpust (Range)  5.0, 7.4, 9.8, 12.2, 14.6

How do i solve problems like this

Answers

Answer:

x = - 2

Step-by-step explanation:

Point A(2, 5) is dilated from the origin with scale factor 3 , resulting in point A′ . Darius says the coordinates of point A′ are (6, 15) . Marcia says the coordinates of point A′ are (4, 13) . Who is correct?

Answers

Answer:

It actually doesn't matter! The key thing is that the dilation value affects the distance between two points. As in the first example (dilation by a factor of 3), A is originally 1 unit down from P and 2 units to the left of P.

1*3 = 3, so A' (the dilated point) should be 3 units down from P.

2*3 = 6, so A' should be 6 units to the left of P.

It doesn't matter if you go left first or down first, because you always determine the location of A' with respect to P based on the location of A (which doesn't move) with respect to P.

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!

How many ways can you arrange the letters in the word Vacuum?

Answers

Answer:

The answer is 360 ways

Step-by-step explanation:

Answer:

720 arrangements

So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.

Step-by-step explanation:

5. A number or symbol multiplied with a variable

Answers

Answer:

Coefficient

Step-by-step explanation:

Write the equation of the circle graphed below.
Marking brainliest if correct

Answers

Answer:

This is the equation that you have to write open this picture I send you the equation

This is the Answer for your question :3

I hope you are having a great day ❤️❤️❤️❤️

Find the values of x and y write your answers in simplest form.

Answers

X= 6
Y= 8.5
I used Tan to find X and Cos to find Y

Help please !!!!!!!!!!!

Answers

Answer:

See below for answers and explanations to the first 5 problems

Step-by-step explanation:

Problem 1:

cos(x) = 2/3

sec(x) = ?

sec(x) = 1/cos(x)

sec(x) = 1/(2/3)

sec(x) = 3/2

Problem 2:

sinβ = -5/6

cscβ = ?

cscβ = 1/sinβ

cscβ = 1/(-5/6)

cscβ = -6/5

Problem 3:

secφ = 2

tanφ = √3

sinφ = ?

secφ = 1/cosφ

tanφ = sinφ/cosφ

tanφ = sinφ/cosφ

tanφ = sinφ(1/secφ)

√3 = sinφ(1/2)

2√3 = sinφ

Problem 4:

secθ = 8

tanθ = 3√7

cscθ = ?

secθ = 1/cosθ

tanθ = sinθ/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

tanθ = sinθ(1/cosθ)

3√7 = sinθsecθ

3√7 = sinθ(8)

(3√7)/8 = sinθ

cscθ = 1/sinθ

cscθ = 1/((3√7)/8)

cscθ = 8/(3√7)

cscθ = (8√7)/21

Problem 5:

sinθ = 2/√5

cosθ = 1/√5

tanθ = ?

tanθ = sinθ/cosθ

tanθ = (2/√5)/(1/√5)

tanθ = (2/√5)(√5)

tanθ = 2

Question is in answer! Thank you and have a good day/night! No links!!

Answers

Answer:

3. $3 + (5 * $3) = a, that is the answer

C.) $3 + ( 5 x $3 ) = a

what is the value of 100 3/2

Hint: its not 203/2 or 101.5

Answers

its was 101.5 try it that's the answer

What is the area for the parallelogram
a. 4664.49 squared cm
b. 4272 squared cm
c. 4000 squared cm
d. 3690 squared cm

Answers

Answer:  Choice B)  4272 square cm

=========================================

Work Shown:

area = base*height

area = c*h

area = 89*48

area = 4272 square cm

Side notes:

The base and height are always perpendicular to one another.The value of a = 52.41 isn't used at all.

The Table below is a data set that lists how many pairs of shoes are owned by some of your classmates.

Using the data set, what is the median?

Answers

Answer:

7.5

Step-by-step explanation:

To find the median, first order the numbers from least to greatest:

2, 4, 5, 7, 8, 8, 10, 12

Then, find the middle number (number in the middle):

There are 2 middle numbers. 7 and 8.

Because there are 2 numbers, we need to find the average. If there was only one number, that would be the median.

To find the average, add 7 and 8. Then, divide the sum by 2 because there are 2 numbers;

7 + 8 = 15

15 / 2 = 7.5

Have a nice day!

HELP ASAP! Find the area of the shaded region.

Answers

Answer:

73.4

Step-by-step explanation:

the answer is 73.3966

Find the area of the figure.

Answers

9514 1404 393

Answer:

  7 square inches

Step-by-step explanation:

We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.

The triangle area is ...

  A = 1/2bh

  A = 1/2(3 in)(4 in) = 6 in²

The square area is ...

  A = s²

  A = (1 in)² = 1 in²

Then the total area of the figure is ...

  1 in² + 6 in² = 7 in²

Does anyone know how to solve this?

Answers

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -5 to -4, it increases = [-5, -4]

For x = 1 to 3, it increases = [1, 3]

Answer: [-5, -4] , [1, 3]

55 POINTS
In a group of 23 students, 2 study both Art and Biology.

2 study Biology but not Art.

4 study neither subject.

Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer: there are 2 student art and 19 student study Biology

Step-by-step explanation:

Because 4 is already study neither subject.

find sin(a) in the triangle

Answers

Answer:

the answer is [tex]\frac{20}{29}[/tex]

Step-by-step explanation:

HELLPPPP ITS ARGENT PLZ
the 7 grade leadership class is planning a movie night for all 7 grade students. they are going to do a small survey to help them choose a movie. they will ask 25 people what movie they would like to see. which group f students will most accurately represent the target population

A; the 25 students in the 7 grade leadership class

B; 25 students selected at random at the girls basketball game

C; the first 25 students to fill out the surveys let in the lunch room

D; 5 studentes select at random from each of the five 7 grade English classes

Answers

C I think I’m not sure sounds most right to me

factorize fully and also write in simplest form [tex]x^{2} +3x-10[/tex]

Answers

Step-by-step explanation:

x²+3x-10 =

(x+5)(x-2)

______

Item 8
Find the surface area of the prism.

Answers

Answer:

[tex]324~ m^2[/tex]

Step-by-step explanation:

[tex]Given: L=9m, ~B=9m,~H=4.5[/tex]

[tex]Surface ~area= 2(LB+BH+HL)[/tex]

[tex]2(9*9+9**4.5+4.5*9)[/tex]

[tex]2(81+40.5+40.5)[/tex]

[tex]2*162[/tex]

[tex]324m^2[/tex]

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

hope it helps...

have a great day!!

PLEASE HELP ME ASAP!!! Alex has 64 cubes with dimensions in feet like the one shown. (1/2 ft). He uses all the cubes to fill a box shaped like a larger rectangular prism. What is the volume, in feet, of the larger rectangular prism?

Answers

Answer: MARK AS BRAINLIST PLZ:)

A) First, find the volume of each cube:

V = s³

  = (1/2)³

  = 1/8 ft³

We have a total of 64 cubes, therefore the maximum volume will be:

Vmax = 64 · (1/8) = 8 ft³

B) The volume of a rectangular prism is given by:

V = w × l × h

Therefore any combination of w × l × h = Vmax = 8 will be fine.

Examples:

2 × 2 × 2

4 × 2 × 1

Step-by-step explanation:

HOPE IT HELPS BRAINLIST

1.
Write y = x2 - 4x – 5 in the form y = (x + h) + k
Someone please help meee

Answers

Answer:

y = (x - 2)² - 9

Step-by-step explanation:

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 - 5

y = (x - 2)² - 9

the question is in the picture. I need help fast if possible. Thank you

Answers

Answer:

145

Step-by-step explanation:

Supplementary angles add up to equal 180 degrees

Thus, ∠ABC + ∠DEF = 180°

If ∠ABC = 35

Then 35 + ∠DEF = 180

180 - 35 = 145

Hence, ∠DEF = 145

At a point on the ground 50 feet from the foot of a tree, the angle of
elevation to the top of the tree is 53 degrees. Find the height of the tree.
Round to the nearest hundredths.

Answers

Answer:

66.35 feet

Step-by-step explanation:

We solve the above question using the Trigonometric function of Tangent

= tan θ = Opposite/Adjacent

θ = 53°

Opposite = Height of the tree = h

Adjacent = Point of the ground from the foot of the tree = 50 ft

Hence,

tan 53 = h/50ft

Cross Multiply

h = tan 53 × 50ft

h = 66.352241081 ft

Approximately to the nearest hundredth, the height of the tree = 66.35 feet

plz help ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answers

Answer:

B. $5039.58

Step-by-step explanation:

compound interest formula: amount = p(1 + \frac{r}{n})^{nt}

p= principal ($2,300)

r= interest rate as a decimal (4% = 0.04)

n= number of times the principal is compounded per year (annually = onceper year so 1 time per year)

t= time in years (20 years)

new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}

That equation equals $2,739.58 which you add to the principal.

$2,739.58 + $2,300 = $5039.58

hope this helps :)

A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.

Answers

Answer:

3

Step-by-step explanation:

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