Last year, the girl's basketball team had 20 ninth-grade students and 10 sixth-grade students. what was the ratio of sixth-grade students to total students on the team

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.

Hi ;-)

f(x) = ²/₃x + 3 ∧ f(x) = -5

²/₃x + 3 = -5

²/₃x = -5 - 3

²/₃x = -8  / * ³/₂

x = -12

Answer:

0.8 euro

Step-by-step explanation:

Suppose the price of bottle of lemonade is x, when the bottle of water costs y.

Four bottles of lemonade cost 4x, two bottles of water cost 2y

4x+2y=2.45

Two bottles of lemonade cost 2x, four bottles of water cost 4y

2x+4y= 2.35

These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so

multiply the first one by -2

-8x-4y=-4.9

-8x-4y+2x+4y= -4.9+2.35

-6x=-2.55

x=0.425 euro - the cost of bottle of lemonade

y=(2.45-4*0.425)/2

y=0.375 euro - the cost of bottle of water

0.425+0.375= 0.8 euro - the total cost  of one bottle of

lemonade and one bottle of water

Answer:

price of lenonade bottle is 0.425

price of water bottle is 0.375

Step-by-step explanation:

In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.

All explaination is in picture below.

Step-by-step explanation:

all you needed to do was a quick search on the internet : "volume of a cone".

and you get immediately :

pi×r²×h/3

the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).

r = radius

h = height

so, for a) we only need to use the calculator :

pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³

for b) we need to do the same thing, but with r = 10 and h = 60.

pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³

so, for c) we only need to subtract the result of a) from the result of b)

the frustum is the volume of the large cone minus the volume of small, top cone.

6283 - 785 = 5498 m³

Step-by-step explanation:

gof(x)= g(f(x))

gof(x)= g(4x-1)

gof(x)= (4x-1)²+7

gof(x)=16x²-8x+1+7

gof(x)=16x²-8x+8

Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15

Answer: 8.9969323e+15

The hypothetical solution for the values of u + v = 3/10

The values of u and v aren't given in the question. However, giving an hypothetical solution to the problem.

Since we have an addition operator to be used on the values of u and v

Taking the values of u and v to be a real number such as :

u = 1/10 and v = 1/5

u + v = 1/10 + 1/5

Taking the L. C. M of 10 and 5;

L. C. M = 10

HENCE,

u + v = 1/10 + 1/5 = (1 + 2) / 10 = 3/10

Hence, the value of u + v = 3/10

Learn more on addition : https://brainly.com/question/9585060

Answer: what??

Step-by-step explanation:

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

Answer:

From SOHCAHTOA

Sine=Opp/Hyp

Sin26 = x/10

This is the appropriate eqn to solve this

OPTION D IS YOUR ANSWER!

Answer:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

Answer:The solution is in the attached file below

Step-by-step explanation:

Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.

The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.

Step-by-step explanation:

Answer:

x = 74.89

Step-by-step explanation:

Because this is a right triangle we can use trigonometric ratios to solve for x

Remember the three main trig ratios are sine, cosine and tangent

Where

Sine = Opposite over Hypotenuse

Cosine = Adjacent over Hypotenuse

and Tangent = Opposite over Adjacent

In order to use trig ratios we must have a known angle that is not a right angle.

We are given ∠J which has a measure of 27°

We are also given ∠J's opposite side length. ( has a length of 34 )

and "x" is the hypotenuse.

When dealing with opposite and hypotenuse we use Sine

SineФ = Opposite over Hypotenuse

Ф = 27, opposite = 34 and hypotenuse = x

Sin(27)  = 34/x

solve for x

Multiply both side by x

sin(27) x = 34

divide both sides by sin (27)

x = 34 / sin (27)

simplify

x = 74.89 ( rounded to the nearest hundredth )

and we are done!

Answer:

The answer is 74.89

Step-by-step explanation:

Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps

Answer:

Step-by-step explanation:

We know that the perimeter is the sum of side lengths.

Substitute the values and solve for x:

Answer:

[tex]perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2 \\ thank \: you[/tex]

Answer:

b = 15

Step-by-step explanation:

2 (b - 8) + -11 = 3

2b - 16 + -11 = 3

2b - 16 + -11 = 3

2b - 27 = 3

2b = 3 + 27

2b = 30

b = 30 ÷ 2

b = 15

Answer:

[tex] = > 2(b - 8) + - 11 = 3[/tex]

[tex] = > 2b - 16 + - 11 = 3[/tex]

[tex] = > 2b - 27= 3[/tex]

[tex] = > 2b = 27 + 3[/tex]

[tex] = > 2b = 30[/tex]

[tex] = > b = \frac{30}{2} [/tex]

[tex]=>b=15[/tex]

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

Answer:

400

Step-by-step explanation:

[tex] {20}^{2} = 20 \times 20[/tex]

that is equal to 400

Answer: 400

Step by step explanation:

20*20= (2*2)*(10*10)= 4*100=400

Answer:

7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

hope this helped!!!

Answer:

354,589 people.

Step-by-step explanation:

Each year the population is 105% times the previous year.

105% = 1.05.

so in 8 years population will be:

240000*(1.05)^8

= 354,589.

Answer:

y = -3/5x + 1

Step-by-step explanation:

We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and  b = y-intercept.

4 = -5(-3/5) + b

4 = 3 + b

1 = b

With the information we know, we can input the values into the formula once again.

y = -3/5x + 1

Best of Luck

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

Step-by-step explanation:

1- solve operation in parantheses or brackets.

2- we solve any exponent

3- solve all multiplication and division left to right

Answer: 7/64 inch is bigger by 1/64 inch difference

Step-by-step explanation:

STEP ONE: Convert the denominators into Least Common Multiple (LCM)

LCM of 32 and 64:

First 3 multiples of 32: 32, 64, 96

First 3 multiples of 64: 64, 128, 192

Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.

STEP TWO: Convert the fractions

3/32 = (3 × 2) / (32 × 2) = 6/64

7/64 = 7/64

STEP THREE: Compare the numerator to define the size of fractions

6 < 7, therefore, 6/64 < 7/64

7/64 - 6/64 = 1/64 inch

Hope this helps!! :)

Please let me know if you have any questions

The required percentage of the 30 intermediate-level questions is 20%.

Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%

Thus, the required percentage of the 30 intermediate level question is 20%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

Answer:

never

Step-by-step explanation:

p->q means if p is true, then q must also be true

but since q is false, p->q is never true

Answer: Never

Explanation:

The notation p -> q refers to a conditional statement.

Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.

In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

Answer:

the domains are x axis or intercepts and range is y axis or intercepts

[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]

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

Proof:

Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.

[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]

It's far from obvious, but we can apply a bit of algebra like so

[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]

Next, we divide every term by 2. This is so we can replace the pi terms with pi/2

[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]

We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]

So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.

Therefore,

[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]

This shows that differentiating the expression in choice A leads to the given integrand.

If we reverse all of the steps mentioned, then we can show that:

[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]

since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).