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3 years ago

7

In the last two weeks of a sale, prices are reduced first by 30% and then by a further 40% of the new price . What is the final

sale price of a shirt which originally costs $15?

1 answer:

Mandarinka [93]3 years ago

5 0

15 x .30 = 4.50 discount 15-4.50= 10.50
10.50 x .40 = 4.20

Final cost of shirt 10.50-4.20 = $6.30

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If you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?

VashaNatasha [74]

Answer: B. x, in the second equation

Step-by-step explanation:

The given system :

$2x+6y=9...................(1)\\\\3x-12y=15.........................(2)$

To apply the substitution method , first we need to select the best variable and a equation which is easy to simplify.

From the given system equation (2) have all the numbers which are multiples of 3.

Then we divide 3 on both sides of equation (2), we get

$x-4y=5\\\\\Rightarrow\ x=4y+5$

Therefore, the best variable to solve for and from what equation is x, in the second equation.

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3 years ago

Identify the quotient in the form a + bi. HELP ASAP PLEASE!!

Artist 52 [7]

Solving $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

Option A is correct.

Step-by-step explanation:

We need to find the result of $\frac{4-5i}{2+3i}$

We need to remove i from the denominator. For removing i Multiplying and dividing by 2-3i:

$\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}$

Solving:

$=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i*(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,i^2=-1\\=\frac{8-12i-10i+15(-1))}{4-9(-1)}\\=\frac{8-12i-10i-15}{4+9}\\=\frac{8-15-12i-10i}{13}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}$

So, solving $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

#learnwithBrainly

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3 years ago

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. A. 4.54 B. 5.00 C. 5.83 D. 3

Kryger [21]

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c which is the distance from C to D

5.830951895 = CD

5.83 = CD

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4 years ago

What is 50% of 38?<br> How do I do this?

anastassius [24]

Answer:

19

Step-by-step explanation:

50% = 1/2

therefore 1/2 of 38

= 19

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4 years ago

Read 2 more answers

Ms.Groves has trays of paints for students in her art class.Each tray has5colors one of the colors is purple what fraction of th

Ivahew [28]

The answer is 1/5.

The fraction for 1 tray is 1/5, and when you have 20 trays, you can just simplify to get 1/5.

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4 years ago