Draw a sketch to help you solve this problem. Lucy had 3.2/3 kilograms of apples. She used some of the apples for a dessert. She has 1.1/3 kilogram of apples left.

How much of the apples did Lucy use for her dessert?

Answers

Answer 1

Answer: Lucy used 2 1/3 kilograms of apples for her dessert.

Get the whole fraction.

3 2/3 = ((3*3) + 2) / 3 = 11/3
1 1/3 = ((3*1) + 1) / 3 = 4/3

Original weight of apples = 11/3
Remaining weight of apples = 4/3
weight of apples used = ?

Subtracting fractions:
Step 1. Make sure the denominator are the same

11/3 - 4/3

Step 2. Subtract the numerators and put the difference above the denominator

(11 - 4) / 3 = 7/3

Step 3. Simplify the fraction

7/3 = 2 1/3

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PLEASE HELP ASAP !

Answers

$x=7.393939...\n 100x=739.393939...\n 100x-x=739.393939...-7.393939...\n99x=732\n x=(732)/(99)$

Find the area A of polygon ABCDEFG with the given vertices. A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

Answers

The area A of polygon ABCDEFG with the given vertices is 10 square units

How to find the area A of polygon ABCDEFG with the given vertices?

The vertices are given as

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

The area of the polygon is calculated using

Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|

So, we have

Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-20|

Remove the absolute bracket

So, we have

Area = 1/2 * 20

Evaluate the products

So, we have

Area = 10

Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units

Answers

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

$a(m + n) = am + an$

So for this question :

$(2x + 3)(x + 4)$

$= 2x(x) + 2x(4) + 3(x) + 3(4)$

$= 2 {x}^(2) + 8x + 3x + 12$

$= 2 {x}^(2) + 11x + 12$

$(2x + 3)(x + 4) \n = 2x(x + 4) + 3(x + 4) \n = 2x * x + 2x * 4 + 3 * x + 3 * 4 \n = {2x}^(2) + 8x + 3x + 12 \n = {2x}^(2) + 11x + 12 \n hope \: it \: helps$

Create a list of steps, in order, that will solve the following equation.
1/4(x+5)^2-1=3

Answers

Answer:

list of steps:

Add 1 on both sides
Multiply both sides by 4
Take the square root of both sides

Subtract 5 from both sides,

Step-by-step explanation:

In order, that will solve the following equation.

$\sf (1)/(4)(x+5)^2-1=3$

Add 1 on both sides

$\sf (1)/(4)(x+5)^2-1+1=3+1$

$\sf (1)/(4)(x+5)^2=4$

Multiply both sides by 4.

$\sf \sf (1)/(4)(x+5)^2* 4=4* 4$

$\sf (x+5)^2 = 16$

Take the square root of both sides

$\sf √((x+5)^2 )= √(16)$

$\sf (x+5) = 4$

Subtract 5 from both sides,

$\sf x+5-5 = 4 - 5$

$\sf x =-1$

Now,

Creating a list of steps:

Add 1 on both sides
Multiply both sides by 4
Take the square root of both sides

Subtract 5 from both sides,

Need a bit of help on the question please

Answers

Hello,

as 6^3=6*6*6=216
∛(-216)=-6

remember
∛(mn)=(∛m)(∛n)
and
if you have the 3rd root of a negative number, the root will be negative

∛-216=(∛216)(∛-1)
we know that 216=6^3 (you know, just fun fact)
6(∛-1)
3rd root of -1 is -1 ((-1)^3=-1)
6(-1)
-6

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