Find the linear function for F in terms of H

Answer:

Step-by-step explanation:

Let the number of students is x, then the number of parents is 4x

Total number of people is 50:

Solve for x:

There are 10 students

Answer:

10 students

Step-by-step explanation:

First find the sum of the ratio:

1 + 4 = 5

Number of students = [tex]\frac{number in ratio}{sum of ratio}[/tex] × total

= [tex]\frac{1}{5}[/tex] × 50

= 10

∴ 10 out of 50 are students.

( The rest are parents; 50-10=40parents )

Answer:

the answer it's not correct because you have to put the 6x

Step-by-step explanation:

if you do not put an x after you put the number it would you would get it wrong

Answer:

A

Step-by-step explanation:

EDGE

Answer:

the smaller is 25 and the bigger one is 30 .

Step-by-step explanation:

1.

x+y=55

y-5=x

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

2.

x+y=55

y-x=5

2y = 60

y = 30

30 - 5 = 25

Answer:

volume is l×b×h.

thats 16*12*5 that is 960cm cubed.

total surface area is 2(l×b+b×h+h×l).

that's 2(16×12+12×5+16×5).

664 cm squared .

Answer:

surface area=2(lb+bh+hl)

surface area=2(16×12+12×5+5×16)

surface area=664cm²

volume = 16cm×12cm×5cm

volume= 960cm³

Answer:

£2,120.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

Solving our equation:

A = 2000(1 + (0.03 × 2)) = 2120

A = $2,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of £2,000.00 at a rate of 3% per year for 2 years is £2,120.00.

Answer: the weight of chalk stick is 25 g

Step-by-step explanation:

Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g.

12%of x =3

Answer:

give me brainliest

Given a line AB with Point C outside it.

Mark point D on the line AB. Join CD

With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.

With C as center, and same radius as before, draw an arc intersecting CD at G.

Open a compass to length EF

Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.

Draw a line m passing through C and H.

Thus m is the line parallel to AB, and passing through point C

∴m∣∣AB

Step-by-step explanation:

The answer is true.

(+)(+)= +

(-)(-)= +

(-)(+)= -

Answer:

D because you going up to the surface

Answer:

its c

Step-by-step explanation:

Answer:

x=4.5

Step-by-step explanation:

The sum of all the angles in a square=360°

20(4.5)=90

90×4=360

Answer:

21

Step-by-step explanation:

Answer:

[tex]\displaystyle \cos(\alpha+\beta)=\frac{3\sqrt{22}-\sqrt{371}}{40}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\alpha)=\frac{\sqrt{11}}{8}\text{ and } \sin(\beta)=\frac{\sqrt7}{5}[/tex]

Where both α and β are in QI.

And we want to find cos(α + β).

First, let's determine the side lengths for each angle.

For α, we are given that its cosine is √(11)/8.

And since cosine is the ratio of the adjacent side to the hypotenuse, the adjacent side to α is √11 and the hypotenuse is 8.

Therefore, the opposite side will be:

[tex]o=\sqrt{8^2-(\sqrt{11})^2}=\sqrt{53}[/tex]

Hence, for α, the adjacent side is √11, the opposite side is √53, and the hypotenuse is 8.

Likewise, for β, we are given that its sine is √7/5.

And since sine is the ratio of the opposite side to the hypotenuse, the adjacent side of β is:

[tex]a=\sqrt{5^2-(\sqrt{7})^2}=\sqrt{18}=3\sqrt{2}[/tex]

In summary:

For α, the adjacent is √11, the opposite is √53, and the hypotenuse is 8.

For β, the adjacent is 3√2, the opposite is √7, and the hypotenuse is 5.

Using an angle addition identity, we can rewrite our expression as:

[tex]\cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)[/tex]

And since both α and β are in QI, all trig ratios will be positive.

Using the above information, we can substitute in the following values:

[tex]\displaystyle \cos(\alpha +\beta)=\Big(\frac{\sqrt{11}}{8}\Big)\Big(\frac{3\sqrt2}{5}\Big)-\Big(\frac{\sqrt{53}}{8}\Big)\Big(\frac{\sqrt7}{5}\Big)[/tex]

Finally, simplify:

[tex]\displaystyle \cos(\alpha +\beta)=\frac{3\sqrt{22}}{40}-\frac{\sqrt{371}}{40}=\frac{3\sqrt{22}-\sqrt{371}}{40}\approx -0.1298[/tex]

1.30

Step-by-step explanation:

You are rounding to the nearest tenth

Answer:

x = 36

Step-by-step explanation:

x/48 = 48/64

64x = 2304

x = 36

Answer:

The 4th one is linear

Step-by-step explanation:

None of the other ones are linear. trust me

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

Answer:

55 lbs of $0.40 and 45 lbs of $1.40  

Step-by-step explanation:

Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.

There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:

0.4 * x + 1.4 (100-x) = 0.85 * 100

Solve!

0.4x + 140 - 1.4x = 85

-x + 140 = 85

-x = -55

x = 55

From this we get that 100 - x = 45.

So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40

Answer:

4√2 ÷ 3√5

4*1.32 /3*2.23= 5.28/6.69

Answer:

3

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if my eyes are good then yes

Answer:

-7

Step-by-step explanation:

[tex] - 3(n + 4) = 9 \\ \\ - 3n - 12 = 9 \\ \\ - 3n = 12 + 9 \\ \\ - 3n = 21 \\ \\ n = \frac{ - 21}{3} \\ \\ n = - 7[/tex]

Answer:

D!

Step-by-step explanation:

a and b - we cant do translations, because the shapes size would be preserved

so its between c and d

c makes it smaller -  so even smaller than KLM

d makes KLM larger(into K'L'M'), and since it is the last option, D is correct

hope it helps

ask for any questions

Step-by-step explanation:

y=42

x=90

Since the triangle has the hypotenuse as the diameter of the circle, the angle opposite the hypotenuse which is x is equal to 90 degrees.

Whenever there is a triangle with the corner of the triangle touching the side of the triangle, the distance between the two legs of the triangle on the circle is 2 times the angle of the corner that is touching. So 21(2)=42

Hope this helps :)