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lbvjy [14]
3 years ago
7

Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

\dfrac{-8}{x+3}

Step-by-step explanation:

We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".

Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.

So, we can write it as follows :

\dfrac{-8}{x+3}

Hence, this is the required solution.

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Is this wrong?
sammy [17]

Step-by-step explanation:

The last step is a little wrong. Lemme show you:

x(x + 2) + (x + 2)

Imagine there is an invisible '1' infront of (x + 2) like this:

= x(x + 2) + 1(x + 2)

Now we can combine the like terms together:

= (x + 1)(x + 2)

This is the correct factorization.

4 0
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:

no

Step-by-step explanation:

Steps to answering this question

  1. 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

273691.4

3 0
3 years ago
The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
leva [86]

Answer:

6 weeks 27kilo

12 weeks 54 kilo

Step-by-step explanation:

4.5*12=54

4.5*6=27

3 0
3 years ago
Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Lesechka [4]
You would have to do the change in y over the change in x
1. 1-1/6-0
2. 0/6 and any time you divide zero by a number the answer is zero.
4 0
3 years ago
Read 2 more answers
Which is bigger 20% of 400 or 1//4 f 360
nekit [7.7K]
20% =20/100=2/10
20% of 400 =(2/10)*400 =80
1/4 of 360= (1/4)*360 =90
90>80, so 1/4 of 360 is bigger than 20% of 400
7 0
3 years ago
Read 2 more answers
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