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tatiyna
3 years ago
8

PLEASE HELPP IM TIMED I'LL DIE I'LL GIVE BRAINLIEST AND 50 POINTSSS

Mathematics
1 answer:
spayn [35]3 years ago
4 0

9514 1404 393

Answer:

  3x -4y = -9

Step-by-step explanation:

Multiply by 4 to clear the fraction.

  4(y -6) = 3(x -5)

Subtract the left-side term to get variables on the same side, with a positive x-coefficient.

  0 = 3(x -5) -4(y -6)

Eliminate parentheses and collect terms.

  0 = 3x -15 -4y +24

  0 = 3x -4y +9

Subtract 9 and swap sides to get standard form.

  3x -4y = -9

_____

Standard form is ...

  ax +by = c

where a ≥ 0, and a, b, c are mutually prime integers. If a=0, then b > 0.

__

The attached graph shows the equations give the same line. The original line is shown dotted so that you can see they overlap.

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Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. At
Allisa [31]

Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. This means that

x + y = 1200

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account earning 4% interest,

P = $x

T = 1 year

R = 4℅

I = (x × 4 × 1)/100 = 0.04x

Considering the account earning 5.9% interest,

P = $y

T = 1 year

R = 5.9℅

I = (y × 5.9 × 1)/100 = 0.059y

At the end of 1 year, Simon earned 64.15 in interest. it means that

0.04x + 0.059y = 64.15 - - - - - - - - -1

Substituting x = 1200 - y into equation 1, it becomes

0.04(1200 - y) + 0.059y = 64.15

48 - 0.04y + 0.059y = 64.15

- 0.04y + 0.059y = 64.15 - 48

0.019y = 16.15

y = 16.15/0.019

y = 850

x = 1200 - y = 1200 - 850

x = 350

7 0
3 years ago
How do you write negative 4 tenths as a fraction?
jasenka [17]

Answer:

-4/10

Step-by-step explanation:

6 0
3 years ago
Decimals between 10 and 15 with an interval of .75 between each pair of decimals
d1i1m1o1n [39]
This is a sum that needs understanding the starting and the ending number first. then you should understand that between the starting and the ending number there has to be pairs of numbers with a difference of 0.75.
The numbers are:
10.75, 11.50, 12.25, 13.00, 13.75, 14.50.
6 0
3 years ago
During a​ sale, a dress is marked down from a selling price of ​$ to a sale price of ​$. What is the percent​ markdown?
ElenaW [278]

Complete question :

35%

Answer:

Step-by-step explanation:

Selling price = $68

Markdown price = $44.20

Percentage markdown :

Markdown / selling price * 100%

((68 - 44.20) / 68) * 100%

(23.8 / 68) * 100%

0.35 * 100%

= 35%

6 0
2 years ago
Aurelio can choose between 3 pairs of pants and 4 shirts .How many different outcomes are in the sample space
olya-2409 [2.1K]
There are 12 different outcomes
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