There are 90 girls in the third year,25 of whom study biology. What percentage of third year girls study biology?​

Solution:

1)Distance covered by cyclist=3.75 miles.

Time =0.3 hours.

Speed= Distance ÷Time

Speed =3.75÷0.3=12.5 miles per hour.

2) Speed = 12.5 miles per hour, Distance = 4.5 miles .

Time = Distance ÷Speed.

Time = 4.5÷12.5=0.36 hours.

Time taken to cover 4.5 miles is 0.36 hours.

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Answer:

u^2+4u-12

Step-by-step explanation:

u x u + 6u -2u - 2 x 6

Answer:

4= -4         97= -97

Step-by-step explanation:

Answer:

4 , 97

Step-by-step explanation:

4 is 4 numbers away from 0

97 is 97 numbers away from 0

Answer:

737 miles

Step-by-step explanation:

So we know that he drove 871 miles in 13 hours so first you want to do 871 divided by 13 and get 67 which means he drove 67 miles in one hour.  Finally you just have to multiply 67 by 11 and get 737.

Answer:

737 miles

Step-by-step explanation:

Since the distance is gonna be less it's gonna be..

11 x 871/ 13

Answer:

638 miles

Step-by-step explanation:

Key skills needed: Proportions, Unit Rates

1) The car can go 464 miles with 16 gallons of gasoline. We need to find how many miles each gallon gasoline results in.

To find the miles per gallon, we would do 464 miles/16 gallons --> 29 mpg

This means each gallon lets the car run 29 miles.

2) To find out how many miles 22 gallons is, we then do 29 x 22, which is 638 miles.

Therefore, your answer is 638.

Hope you understood and have a nice day!!

Answer:

D = 1 8.87961173

Round off to the whole number

D= 19m

Explanation of results

So to find d you will use the trigonometry formula

So you are given the

Degree which is 39°

and the hypotenuse which is 30m

Using the sin θ = Opposite Side/Hypotenuse you are going to put in the numbers where they should go in the formula so,

[tex] \sin(39) = \frac{d}{30} [/tex]

then you are going to isolate d on the right by multiplying 30 on both sides.

It will look like

30 Sin 39

So, just put this in the calculator

Answer:

(a) [tex]Perimeter = 32.2\ cm[/tex]

(b) 100

Step-by-step explanation:

Solving (a):

Given

Shape: Rectangle

[tex]Area = 64.8[/tex]

Required

Calculate the perimeter.

Area is calculated as:

[tex]Area = L * W[/tex]

Where

[tex]L = Length[/tex] and [tex]W = Width[/tex]

Substitute 64.8 for Area

[tex]64.8 = L * W[/tex]

Make L the subject:

[tex]L = \frac{64.8}{W}[/tex]

Perimeter is calculated as:

[tex]P = 2 * (L + W)[/tex]

Substitute 64.8/W for L

[tex]P = 2 * (\frac{64.8}{W} + W)[/tex]

[tex]P = \frac{129.6}{W} + 2W[/tex]

To solve further, we take the derivative of P and set it to 0, afterwards.

[tex]dP = -\frac{129.6}{W^2} + 2[/tex]

Set to 0

[tex]0 = -\frac{129.6}{W^2} + 2[/tex]

Collect Like Terms

[tex]\frac{129.6}{W^2} = 2[/tex]

Cross Multiply:

[tex]2W^2= 129.6[/tex]

Divide through by 2

[tex]W^2 = 64.8[/tex]

Take square roots

[tex]W = \sqrt{64.8[/tex]

[tex]W = 8.05[/tex]

Recall that:

[tex]L = \frac{64.8}{W}[/tex]

So:

[tex]L= \frac{64.8}{8.05}\\[/tex]

[tex]L= 8.05[/tex]

The perimeter is:

[tex]Perimeter = 2 * (8.05 + 8.05)[/tex]

[tex]Perimeter = 2 * (16.10)[/tex]

[tex]Perimeter = 32.2\ cm[/tex]

Solving (b):

Given

((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)

Required

Solve

[tex]Tenths = \frac{1}{10}[/tex]

So, the expression becomes:

((1 Group of [tex]10 * \frac{1}{10}[/tex]) and (1 group of [tex]8 * \frac{1}{10}[/tex]))/(6 groups of [tex]3 * \frac{1}{10}[/tex])

This gives:

((1 Group of [tex]\frac{10}{10}[/tex]) and (1 group of [tex]\frac{8}{10}[/tex]))/(6 groups of [tex]\frac{3}{10}[/tex])

Group means product, so the expression becomes:

[tex]\frac{(1 * \frac{10}{10} \ and\ 1 * \frac{8}{10})}{6 * \frac{3}{10}}[/tex]

And, as used here means addition

[tex]\frac{(1 * \frac{10}{10} + 1 * \frac{8}{10})}{6 * \frac{3}{10}}[/tex]

Simplify:

[tex]\frac{(1 * 1 + 1 * 0.80)}{6 *0.30}[/tex]

[tex]\frac{(1 + 0.80)}{1.80}[/tex]

[tex]\frac{1.80}{1.80}[/tex]

[tex]= 1.00[/tex]

Answer:

0.067

Step-by-step explanation:

Divide any percentage by 100 to get the decimal form.

6.7÷100=0.067

Answer:

0.067

Step-by-step explanation:

You move the decimal two places to the left when converting percents to decimals.

6.7-->0.067

Answer:

1. yes 2. yes 3. no

Step-by-step explanation:

Answer:

8 ft

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4ft X 8ft= 32ft

Answer:

C and E

Step-by-step explanation:

Answer:

2.13

Step-by-step explanation:

.47 would be your probability of randomly selecting but your'e solving geometrically so think how many trials until successful.

use u x(mean)= 1/.47 to get around 2.13

Answer:

2.13

Step-by-step explanation:

.47 is the probability of randomly selecting, you have to find how many trials until successful. x(mean)= 1/.47 to get around 2.13

Answer:

Step-by-step explanation:

Given m ∠ Q P S = 4 7 ∘ m∠QPS=47 ∘ m, angle, Q, P, S, equals, 47, degrees m ∠ R P S = 3 x − 3 8 ∘ m∠RPS=3x−38 ∘ m, angle, R, P, S, equals, 3, x, minus, 38, degrees m ∠ Q P R = 7 x − 9 5 ∘ m∠QPR=7x−95 ∘

Sum of angles in a triangle = 180°

47° + 3 x − 3 8 ∘ + 7x - 95° = 180°

10x + 180° = 180°

Answer: 31°

(Attached photo of work)

Answer:

-3/2

Step-by-step explanation:

y = - 3/2x + 3

y = mx + b

slope = m

Hope this Helps!!!

Answer:

L = 55 in, W = 20 in

Step-by-step explanation:

Hi there!

First we have to set up an equation for the length, which can be written as 3x - 5.

The formula for perimeter of a rectangle is 2l + 2w = p, so we can plug in some values here.

l = 3x - 5

w = x

[tex]2(3x-5) + 2(x) = 150[/tex]

Now we just have to solve!

[tex]6x - 10 + 2x = 150[/tex]

When we combine like terms and add ten to both sides, we are left with

[tex]8x = 160[/tex], which means x = 20

Using this, that means the width is 20

We can find the perimeter by plugging 20 in for x. [tex]l = 3(20) -5[/tex]

This means the length is 55.

Trapezium I hope you get it right

Answer:

just multiply it by 2 meaning the 11,600 multiply by 2

Answer:

x=26

Step-by-step explanation:

2x+3x+50=180   add like terms

5x+50=180   subtract both sides by 50

5x=130   divide both sides by 5

x=26

Answer:

x = 26

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 3x + 50 = 180

5x + 50 = 180 ( subtract 50 from both sides )

5x = 130 ( divide both sides by 5 )

x = 26

Answer:

Step-by-step explanation:

Answer:

...........the new price is 22.50

Answer:

B. Two pairs of opposite sides are congruent

Step-by-step explanation:

This is one of the rules of identifying a parallelogram, and the other ones are false.

Answer:

75.4 ft

Step-by-step explanation:

C=2(pi)r

C=2(pi)12=75.4

Answer:

620 cm²

Step-by-step explanation:

First I'll describe the net. There are 3 rectangles and 2 triangles. The triangles are identical and 2 out 3 of the rectangles are the same.

So, we know that the two similar rectangles have measurements of 13cm x 10cm. So, that's 130 cm² for one such rectangle. Add the other one and we get 260 cm².

The bottom rectangle has dimensions of 10cm x 24 cm, or 240 cm². Add that to our previous total and we'll get 500 cm².

On to the triangles. Now, we know that 1. these are isosceles triangles, and 2. they have a height of 5 cm. We can pretend to cut them in half at their highest point, which would give us 4 triangles with height 5 and length 12. Now, if you put two identical triangles together, it's a four-sided shape, and you can just multiply length by width. Let's do that.

Now we have 2 rectangles, each with width 5 and length 12. Calculate the area for each, and now we have 2 rectangles with area 60 cm². Add them together....120cm².

Add that to our previous total, and we'll get 620 cm². That should be the surface area of your prism :D

Answer:

10,100,1000,-10,-100,-1000

Step-by-step explanation:

Answer: y = x +6

Step-by-step explanation:

Answer:

I believe it's y=x+6

Step-by-step explanation:

I think its making an equation hopefully

Answer: n= 80 ×48+ 34×20

Step-by-step explanation:

Given: Number of large boxes = 80

Number of small boxes = 34

Number of markers in each large box = 48

Number of markers in each small box = 20

Total markers = (Number of large boxes)x (Number of markers in each large box) + (Number of small boxes) x (Number of markers in each small box)

Total number of markers = n (given)

Then, n= 80 ×48+ 34×20

Therefore , the equation could be used to find n, the total number of markers in stock: n= 80 ×48+ 34×20

The answer is no solution