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2 years ago

What is the solution to this inequality?

Mathematics

2 answers:

madam [21]2 years ago

7 0

Answer:

Step-by-step explanation:

x - 7 > -6

x > -6 + 7

x > 1

• We change the inequality sign if we multiply or divide a negative number from both sides. But since it’s positive and we added it we won’t change the inequality sign.

mash [69]2 years ago

6 0

Answer:

Option C

X>1

Step-by-step explanation:

x-7>-6

x>-6+7

x>1

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2 years ago

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3 years ago

Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.

murzikaleks [220]

Answer:

Step-by-step explanation:

Steps to answering this question

determine the volume of the 12 basket

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

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3 0

2 years ago

Find the number of real- number solutions of the equation x^2+10=2

Andrew [12]

Answer:

imaginary

Step-by-step explanation:

$x {}^{2} = 2 - 10 \\ {x}^{2} = - 8 \\ x = \sqrt{ - 8}$

from the working strp, we know that the number is imaginary

we can't square root the negative number

4 0

2 years ago

The set of natural numbers x that satisfy x + 8 = 5

Maksim231197 [3]

Answer:

The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.

Step-by-step explanation:

Given equation:

$x+8=5$

To find the set of natural numbers that satisfies the above equation.

Solution:

In order to find the set of solutions for the equation, we will solve it for $x$

We have:

$x+8=5$

Subtracting both sides by 8.

$x+8-8=5-8$

∴ $x=-3$

Thus, we get only one solution for $x$ that satisfies the given equation but it is not a natural number. -3 is an integer.

Set of natural numbers {1,2,3,4,5,6........}

Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.

8 0

3 years ago