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1 year ago

6.2 ÷ 3.1 is equivalent to 62 ÷ 31 The dividend and divisor were both multiplied by

Mathematics

1 answer:

VARVARA [1.3K]1 year ago

8 0

Answer:

The dividend and the divisor were both multiplied by 10

Step-by-step explanation:

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A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

erastovalidia [21]

Answer:

The average yearly salary of the architect is $62,000 and the lawyer is $100,000.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of an architect and a lawyer.

Let the average yearly salary of an architect be $x.$

So, the average yearly salary of the lawyer = $2x-24,000.$

Combined, architect and lawyer earn = $\$210,000.$

Now, to get the average salary of the architect and lawyer:

$x+(2x-24000)=210000$

$x+2x-24000=210000\\\\3x-24000=210000$

Adding both sides 24000 we get:

$3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.$

The average salary of architect = $62,000.

Now, to get the average salary of lawyer by substituting the value of $x$ :

$2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.$

The average salary of lawyer = $100,000.

Therefore, the average yearly salary of the architect is $62,000 and the lawyer is $100,000.

4 0

2 years ago

Here is a scenario that came up in the nationally syndicated column called "Ask Marilyn" in Parade Magazine. Suppose a certain d

goldenfox [79]

Answer:

Drug User Not a drug user Totals

Test positive 475 475 950

Test negative 25 9025 9050

Totals 500 9500 10,000

Step-by-step explanation:

Drug User Not a drug user Totals

Test positive 475 475 950

Test negative 25 9025 9050

Totals 500 9500 10,000

As we know that 5% of all people are drug users

Total drug users=5% of 10,000=0.05(10,000)=500

Total non drug users= Total people - drug users= 10,000-500=9500

or total non drug users=95% of 10,000=0.95(10,000)=9500

Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

Test positive for drug user= 95% of 500=0.95(500)=475

Test negative for non drug user= 95% of 500 = 0.95(9500)=9025

Test is correct for 95% of times and it means that 5% of times test is not correct. It means that 5% of times drug users test results is negative and non drug users test results is positive.

Test negative for drug user= 5% of 500=0.05(500)=25

Test positive for non drug user= 5% of 9500 = 0.05(9500)=475

4 0

1 year ago

Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, AC BC CD. Using the

inn [45]

The first one is; BC
The second one is; Reflection
The third one is; A
The fourth one is; Length

7 0

2 years ago

Read 2 more answers

Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve

sweet [91]

A conservative vector field $\mathbf f$ has curl $\nabla\times\mathbf f=\mathbf0$ . In this case,

$\nabla\times\mathbf f=12xy^2z(1-z)\,\mathbf j+4yz^2(2z-3x)\,\mathbf k\neq\mathbf 0$

so the vector field is not conservative.

3 0

2 years ago

Which is greater 2m or 275cm

Whitepunk [10]

There is 100 centimeters in 1 meter.

Change the meter to centimeter. Multiply: 2 x 100 = 200

200 cm < 275 cm ∴ is greater by 75 cm

5 0

1 year ago

Read 2 more answers