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Alenkasestr [34]
3 years ago
5

Complete the statement of each of these rules:

Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

a) (+) × (?) = (+)

(?) = (+)

b) (-) × (+) = ?

? = (-)

c) (?) × (-) = ?

? is undefined

Step-by-step explanation:

a) (+) × (?) = (+)

From the given equation in the question, by dividing both side of the equation by (+), we have;

((+) × (?))/(+) = (+)/(+)

(?) = (+)/(+) = (+)

Therefore, we have;

(+) × (+) = (+)

(?) = (+)

b) (-) × (+) = ?

From the given equation in the question we apply the operation rules as follows;

(-) × (-) = (+)

(-) × (+) = (-)

Therefore;

(-) × (+) = ? = (-)

? = (-)

c) (?) × (-) = ?

From the rules of multiplication, we have;

(-) × (-) = (+)

(+) × (-) = (-)

Therefore, when (?) = (-), ? = +, from which we have;

(?) ≠ ?, which is an error

Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign

Therefore, the equation, (?) × (-) = ?, is undefined.

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7 0
3 years ago
Pls answer this is due in 30 minutes
ziro4ka [17]

Answer:

1a) t = 0.17b

1b) $36.03

2) 51,167.50

Step-by-step explanation:

1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip

1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.

To find what the cost was without the tip, divide the bill total by 1.17

248/1.17 = 211.97. That was the bill before the tip was added.

248-211.97 = 36.03 was the tip added.

2) 5.5% converted to a decimal is 0.055

0.55 x 48,500 = 2667.50

$2,667.50 + $48,500 = 51,167.50

Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500

1.055 x 48,500 = 51,167.50

6 0
3 years ago
Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.
Ludmilka [50]

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

7 0
3 years ago
The quality-control manager of a large factory is concerned about the number of defective items produced by workers. Thirty work
kotegsom [21]

Answer:

a. There is no blocking variable, and incentive plans will be randomly assigned to the workers.

Step-by-step explanation:

The Randomized Complete Block Design (RCBD) is a standard experimental design where experimental units or subjects are grouped as blocks (also known as replicates). In RCBD, subjects within each block are randomly assigned to the experimental units within a block. RCBD is a type of design that reduces variability by controlling variation within each treatment, thereby enhancing the estimation of the treatment effects (combinations of the factor levels of the different factors).

6 0
3 years ago
a cone has a volume of 1230.88 units cubed and a diameter of 14 units what is the height of the cone use 3.14 for pi
ANEK [815]

Answer:

h= 24

Step-by-step explanation:

v = \pi {r}^{2}  \frac{h}{3}

r =  \frac{d}{2}

r =  \frac{14}{2}

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1230.88=3.14×7^2×h/3

1230.88= 153.86h/3

h=1230.88/153.86

h= 24

7 0
2 years ago
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