Find the areas of these parallelograms, drawn on a centimetre grid.
b)
a)

Answer:

10 carrots

Step-by-step explanation:

So we have 6:8 which is 3:4, meaning that something needs to be changed

Solve for x assuming that we have 6 cabbages

1/3=6/x

x=18

Now we have 6:18, which is 1:3 simplified

There are already 8 carrots so subtract 8

18-8=10

Answer:

$3283.2

Step-by-step explanation:

Given data

Principal= $2700

Rate= 4%

Time= 5 years

Required

the final Amount A

The compound interest formula is

A=P(1+r)^t

Substitute

A=2700(1+0.04)^5

A=2700(1.04)^5

A=2700*1.216

A=$3283.2

Hence the balance in the account after 5 years is $3283.2

Answer:

The cost of 8 balls is Rs $ 120.

Step-by-step explanation:

Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:

(225/15) x 8 = X

15 x 8 = X

120 = X

Thus, the cost of 8 balls is Rs $ 120.

Answer:

120 x 10^3

7 x 10^5

9 x 10^4

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

60 x 7.5=450

Answer:

256

Step-by-step explanation:

8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2

Answer:

1000

Step-by-step explanation

200+200=400

so

500+500=1000

Answer:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Step-by-step explanation:

Given

[tex]x=t[/tex]

[tex]y=e^{-t}[/tex]

[tex]z=2t-t^2[/tex]

(0, 1, 0)

The vector equation is given as:

[tex]r(t) = (x,y,z)[/tex]

Substitute values for x, y and z

[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]

Differentiate:

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

The parametric value that corresponds to (0, 1, 0) is:

[tex]t = 0[/tex]

Substitute 0 for t in r'(t)

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2)[/tex]

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

[tex]r(t) = a + tv[/tex]

Such that:

[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]

The equation becomes:

[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]

[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]

[tex]r(t) = (0+t,1-t,0+2t)[/tex]

[tex]r(t) = (t,1-t,2t)[/tex]

By comparison:

[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]

The parametric equations for the tangent line are:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Answer:

x = -0.35

Step-by-step explanation:

tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x

Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x

Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35

Answer:

2

Step-by-step explanation:

Is there an expression you need to solve?

n = 2 so the value would be 2

Answer:

24.1cm

Step-by-step explanation:

Answer:

4 cm^2

Step-by-step explanation:

2 x 2 x 0.5 x 2 = 4 cm^2

Hi there!

[tex]\huge\boxed{4 \text{ cm}^{2}}[/tex]

Find the area of the shaded area using the given dimensions:

The shaded area is divided up into two triangles, each with a base of 2 cm and a height of 2 cm. Use the following equation to solve for area:

A = 1/2(bh)

A = 1/2(2 · 2)

A = 1/2(4) = 2 cm²

There are two triangles, therefore:

2 × 2 = 4 cm²

Answer:

There are no solutions

Step-by-step explanation:

9x+18−5x=2+4x

Step 1: Simplify both sides of the equation.

9x+18−5x=2+4x

9x+18+−5x=2+4x

(9x+−5x)+(18)=4x+2(Combine Like Terms)

4x+18=4x+2

4x+18=4x+2

Step 2: Subtract 4x from both sides.

4x+18−4x=4x+2−4x

18=2

Step 3: Subtract 18 from both sides.

18−18=2−18

0=−16

Answer:

There aren't any values of x that would make the equation true.

NO SOLUTION

Hope this helped <3

Answer:

WL = DC

Step-by-step explanation:

if you move the triangles to connect to eachother it would show that they are equal.

Answer:

c. 273 cars

Step-by-step explanation:

First you need to find what 16% of 325 is

325x.16=52

because the number sold dropped by 16% you will subtract 52 from 325

325-52=273

you can also calculate the answer by subtracting 100% by 16%

100%-16%=84%

now you can calculate 84% of 325

325x.84=273

Answer:

132x-8

Step-by-step explanation:

I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.

It's a simplification I don't know if you needed that.

Answer:

135.87

Step-by-step explanation:

7% of 126.99 is 8.8893

add 126.99 to 8.8893

you get ~135.87

Answer:

8.89

Step-by-step explanation:

Take the cost of the item times the tax rate to find the amount of tax

126.99 * 7%

Change to decimal form

126.99 * .07

8.8893

Round to the nearest cent

8.89

Answer:

$522.50

Step-by-step explanation:

To find the price, multiply 950 by 0.55

950(0.55)

= 522.5

So, the sale price will be $522.50

Answer:

the unit price would be 8.125

Step-by-step explanation:

Answer:

solution,

let width of the rectangle be x then,

length(l)=4x

Area(A)=25l

now,

area of rectangle = 4x×x

Step-by-step explanation:

in 2nd step one x cancel another in opposite side of =

Equation of a line is y = mx +c

m is the gradient, which is given as -3 so now you have:

y = -3x + c

Replace y and x with the given point and solve for c:

4 = -3(-2) + c

Simplify:

4 = 6 + c

Subtract 6 from both sides:

c = -2

The equation becomes:

y = -3x-2

Answer:

x - 2 and x + 5

Step-by-step explanation:

Given Area Of rectangle

= x² + 3x - 10

= x² + ( 5 - 2)x - 10

=x² + 5x - 2x - 10

= x ( x + 5 ) - 2 ( x + 5 )

= ( x + 5 ) ( x - 2 )

Hope it will help :)❤

Answer:

B. x-2 and x+5

Step-by-step explanation:

Answer:

B) 68 units^2

Step-by-step explanation:

8 x 17 x 0.5 = 68 units^2

Answer:

May be your answer is option 3

Answer:

8/36 yard or 2/9

Step-by-step explanation: