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4 years ago

Solve the proportion for the variable given.

Mathematics

1 answer:

xxMikexx [17]4 years ago

7 0

Answer:

A) -50

Step-by-step explanation:

The given proportion relation is

$\frac{r + 10}{4} = \frac{r}{5}$

The least common denominator is 20

We multiply through by 20 to get

$20 \times ( \frac{r + 10}{4}) = \frac{r}{5} \times 20$

We simplify to get;

$5(r + 10) = 4r$

Expand the parenthesis to get:

$5r + 50 = 4r$

$5r - 4r = - 50$

This simplifies to

$r = - 50$

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A worker has four different job offers, each with a contract for seven years. Assuming the job descriptions are identical, which

Rainbow [258]

Answer:

The answer is C

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

I am a 3 digit positive number. The sum of my digits is 18. My middle digit is the product of -2 and -4. My first digit is 3^2.

Vlad1618 [11]

Let x be the first digit.
Let y be the second digit.
Let z be the third digit.

x+y+z=18

y= (-2)(-4)
y= 8

x= 3^2
x= 9

Therefore z=1.

The number is
= 100x+10y+z
= 100(9)+10(8)+(1)
= 981

3 0

2 years ago

Read 2 more answers

Simplify the following expression below:

IrinaK [193]

So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2

refine: = 13
= 4(3 + 2i)/13

distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12 + 8i

4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)

Multiply the numbers: 4(2) = 8
= 12 + 8i

12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:

Your answer is: 12/13 + 8i/13

Hope that helps!!!

7 0

3 years ago

There are between 50 & 60 eggs in a basket. When roza counts by 3's there are 2 leftover and when she counts by 5's there ar

avanturin [10]

There are 59 eggs in the basket

Step-by-step explanation:

There are between 50 & 60 eggs in a basket

When Roza counts by 3's there are 2 leftover
When she counts by 5's there are 4 leftover

We need to find how many eggs in the basket

∵ When Roza counts by 3's there are 2 leftover

∵ When she counts by 5's there are 4 leftover

- That means the number of eggs when divided by 3 give

remainder 2 and when divided by 5 give remainder 4

- To find the number look for the numbers that divisible by 5 and

add 4 to them and then check the remainder when they divided

by 3

∵ Between 50 and 60 there is only one number divisible by 5

is 55 (not including 50 or 60)

∵ 55 + 4 = 59

∴ 59 gives remainder 4 when divided by 5

Let us check them with 3

∵ 59 - 2 = 57

∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)

∴ 59 when divide by 3 gives remainder 2

∴ 59 gives remainder 4 when divided by 5 and remainder 2 when

divided by 3

∴ The number of eggs in the basket is 59

There are 59 eggs in the basket

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0

3 years ago

(GIVING BRAINLIEST!!!!!!) Solve 1 ÷ 1/2 = ________ A) 2 B) 3 C) 4 D) 5

Tcecarenko [31]

Answer:

Step-by-step explanation:

Becuase 1 divide 1/2

You make the division sign a multiplication sign

1 time 1/2

get the recipricol of 1/2 wich is 2

1 times 2/1

is 2

5 0

3 years ago