A torch and a battery cost £2.50 altogether.
The torch costs £1.50 more than the battery.
What fraction of the total price is the torch?
Give your answer in its simplest form.​
PLEASE CHECK UR ANSWER

Answer:

A=150ft^2

Step-by-step explanation:

A=(b1+b2)/2*h

A=(15+10)/2*12

A=25/2*12

A=25*6

A=150ft^2

Area of trapezoid formula: A = h(b1+b2/2)

A = 12(10+15/2)

A = 12(25/2)

A = 12(12.5)

A = 150

Therefore, the area of the trapezoid is 150ft²

Best of Luck!

Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

Answer:

Your profit would be 32.10$

Step-by-step explanation:

You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.

Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.

Step-by-step explanation:

-The equation of a slope-intercept form:

[tex]y = mx + b[/tex]  (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).

Answer:

7 times

Step-by-step explanation:

So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)

So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings

Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7

hope i helped :) im not sure what you mean by model :(

Answer:

K, (-3.5,-5), E, (3.5, 3)

Step-by-step explanation:

Answer:

First, you work out the 3 and Tail from the table: T3: 62

Then you add up all values from the table:

S = 43 + 49 + 54 + 65 + 71 +62 = 344

Then the probability of next toss and spin is 3 and Tail is:

P = T3/S = 62/344 = 0.18

Answer:

not quadratic because there is not a quadrat in it.

Step-by-step explanation:

The graph of a quadratic funtion is a parabola.

The general form of quadratic function is this:

f(x) = ax² + bx + c

Where a, b, and c are numbers.

Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.

In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.

Answer:

B. 43.3

Step-by-step explanation:

Find the area of one of the triangles:

[tex]\frac{1}{2} *b*h[/tex]

[tex]\frac{1}{2} *5*4.33=10.825[/tex]

10.825*4=43.3

Answer:

B.) 43.3 square centimetres

Step-by-step explanation:

The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:

[tex]A=\frac{1}{2} bh[/tex]

Insert the values:

[tex]A=\frac{1}{2} *4.33*5[/tex]

Simplify:

[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]

Multiply the area of one triangle by 4:

[tex]10.825*4=43.3[/tex]

The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]

:Done

The square root of 0.36

= [tex]\sqrt{0.36}[/tex]  = 0.6

ans: 0.36

Happy to help!

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

Answer:

[tex]2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )[/tex]

[tex]= {184cm}^{2}[/tex]

y = 1/2 x -3

Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3

Answer: [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation: On the unit circle

Answer:

b

Step-by-step explanation:

Answer:

11.2467

Step-by-step explanation:

First we need to find the mean

Add up all the data and divide by number of points)

(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30

261/10

26.1

Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points

((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30

11.2467

Answer:

11 16/75

Step-by-step explanation:

Find the mean: sum/n

783/30

26.1

Find individual |x - 26.1| and add them:

|6-26.1| + |7-26.1| + ...... + |50-26.1|

= 20.1 + 19.1 + .... + 23.9

= 336.4

M.A.D = 336.4/30

11 16/75

Answer:

-3x + 36

Step-by-step explanation:

The first step is to distribute the -3 to (x - 8), like so:

12 - 3(x - 8)

12 - 3x + 24

Add like terms (12 and 24):

12 + 24 = 36

-3x + 36

Answer:

I’ll help you just show me the question

Step-by-step explanation:

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

Answer:

yes

Step-by-step explanation:

there is enough information

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

Answer:

C

Step-by-step explanation:

Answer:

A. 8

Step-by-step explanation:

#platolivesmatter

Answer:

(i think it is for q6 so) $6

Step-by-step explanation:

4.50÷3=1.50 (that's for 1 pound of fudge)

1.50×4=6

Answer:

Bianca would be able to afford her dream car conveniently when she turns 16.

Step-by-step explanation:

Bianca was 5 years and wish to project her savings for the next 11 years.

On her 5th birthday, she saves $100

Her dad promises to double her money yearly with respect to a condition. So that;

On her 6th birthday, she would save $ 200

On her 7th birthday, she would save $400

On her 8th birthday, she would save $800

On her 9th birthday, she would save $1600

On her 10th birthday, she would save $ 3200

On her 11th birthday, she would save $ 6400

On her 12th birthday, she would save $12800

On her 13th birthday, she would save $25600

On her 14th birthday, she would save $51200

On her 15th birthday, she would save $102400

On her 16th birthday, she would save $204800

When she turns 16, she would have a total sum of $409500.

Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.

Answer:

y=0.5x-2

Step-by-step explanation:

8y=4x-32/2

First thing you are going to do is solve for 32/2=16 and then enter it into the equation.

8y=4x-16

Second thing you are going to do is divide everything by 8 to get rid of 8y.

8y=4x-16

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

   8

4/8=0.5 and 16/8=2

y=0.5x-2

Answer:

68cm

Step-by-step explanation: this is the right answer :)

Answer:

$5,368,709.12

Step-by-step explanation:

Kono Dio Da!!

Answer:

5368709.12

Step-by-step explanation:

i just did this earlier