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3 years ago

Select the correct answer, and simplify the expression -3÷(-2/5). A. -7 1/2

Mathematics

1 answer:

aliina [53]3 years ago

3 0

Answer:

Step-by-step explanation:

Given

- 3 ÷ - $\frac{2}{5}$

Leave the first number, change division to multiplication and turn the fraction upside down, that is

= - 3 × - $\frac{5}{2}$

= $\frac{3(5)}{2}$

= $\frac{15}{2}$

= 7 $\frac{1}{2}$ → D

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3 years ago

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What decimal is equal to 31/100

BlackZzzverrR [31]

Answer:

0.31

Step-by-step explanation:

So if you divide 31 by 100 all you have to do is move the decimal from right to left the number of zeros you have. Here we have 2 zeros so we move from right to left twice.

0.31

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3 years ago

Celinda thought of 89.5 in parts, 80 + 9 + 0.5, and divided each part: 80 ÷ 10 = 8; 9 ÷ 10 = or 0.9; 0.5 ÷ 10 = 0.05. Then she a

Arlecino [84]

Answer:

Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.

Step-by-step explanation:

This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.

A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)

In the exposed example we know that 89.5 = 80 + 9 + 0.5.

<u>Option 1</u>

(80/10) + (9/10) + (0.5/10) =

8 + 0.9 + 0.05=

8.95

<u>Option 2</u>

89.5/10 = 8.95

8 0

2 years ago

Describe and correct the error in finding csc θ, given that θ is an acute angle of a right triangle and cos θ =7/11

a_sh-v [17]

Answer:

<h2>cosecθ = 1/sinθ = 11/6√2</h2>

Step-by-step explanation:

Given that cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

$hyp^{2} = adj^{2} + opp ^{2} \\opp = \sqrt{hyp^{2} - adj^{2} } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}$

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ $\neq$ 1/cosθ but cscθ = 1/sinθ

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3 years ago

Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods, what

Sloan [31]

Answer:

The total salary of her is $1066666.66.

Step-by-step explanation:

Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.

To find : What was her total salary?

Solution :

Let x be the total salary.

Allison earns a $40,000 base salary.

If she sold $200,000 worth of goods.

i.e. the amount is $200,000-$40,000=$160,000

The total salary is given by,

$160,000=15% of x

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$x=\frac{160000}{0.15}$

$x=1066666.66$

The total salary of her is $1066666.66.

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3 years ago