MATHEMATICS HIGH SCHOOL

26.
What is the solution to. y - 9 > 4 + 2y?

HELP. answer if you can!

Answers

Answer 1

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer 2

Answer:

Answer:

$\boxed{y < -13}$

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

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Whats 0.67 closest to 0,1/2,or 1 ?? Explain

Answers

Answer:

0.67 is closest to $(1)/(2)$ .

Step-by-step explanation:

To know if 0.67 is closest to 0, $(1)/(2)$ or 1, first you have to express the quantities in decimals and make the subtraction of each quantity, the smallest value will mean the closest value, that is:

1. For 0:

0.67 - 0 = 0.67

2. For $(1)/(2)$ :

$(1)/(2)=0.5$

0.67 - 0.5 = 0.17

3. For 1:

1 - 0.67 = 0.33

As the smallest value is 0.17, it means that 0.67 is closest to $(1)/(2)$ .

Okay, in decimals 0 would simply be 0, 1/2 would be 0.50, and 1 would be 1.00

Using these numbers, 0.67 would be closest to 0.50 rather than 0 or 1.00

Therefore, the answer would be 1/2

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

Answers

Given:
Let us assume the radius of the cylinder is x.
radius of the cone is half the radius of the cylinder: x/2
height of the cone is equal to the radius of the cylinder: x

radius of cone: x/2 ; height of the cone: x

volume of the the cone = π r² h/3
V = 3.14 * (x/2)² * x/3
V = 3.14 * x²/4 * x/3
V = (3.14 * x² * x)/4*3
V = 3.14 x³ / 12

Answer:

(1/12) Pi r^3 option C on plato

Step-by-step explanation:

r = radius of the cylinder

V = (1/3)Pi c^2 h for a cone.

and c = r/2 and h = u

so Volume of the cone is (1/12) Pi r^3

A rectangular field has an area 28800 sq.meter.its length is twice as long as its width.what is the length of its sides?

Answers

Let
x---------> the length side of rectangle
y---------> the width side of rectangle

we know that
x=2y-----> equation 1
area=x*y-------> 28800=x*y------> equation 2
substitute 1 in 2

28800=[2y]*y-----> 28800=2y²-------> y²=14400------> y=120 m
x=2*y----> x=2*120------> x=240 m

the answer is
the length side of rectangle is 240 m
the width side of rectangle is 120 m

The measure of two complementary angles are represented by x+5 and 4x - 15 find the value of x

Answers

Based on the calculations, the value of x will be equal to 20°

First and foremost, we should note that the total angles in a complementary angles equal to 90°.

In this case, we have to add the two angles that we are give and then equate them to 90°. This will be:

(x + 5°) + (4x - 15°) = 90°

x + 5° + 4x - 15° = 90°

Collect like terms

x + 4x = 90° - 5° + 15°

5x = 100°

x = 100°/5

x = 20°

Therefore, based on the calculations, the value of x is 20°

Read related link on:

brainly.com/question/17253605

complementry angles sum up to 90.
so, (x+5)+(4x-15)=90
x+4x+5-15=90
5x-10=90
5x=90+10
x=100/5
x=20

A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?If x represents the pounds of $1.50 chocolates used, then which of the following represents the pounds of 90¢ chocolates used?

x
30 - x
30