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2 years ago

Solve for x (19x-18) (7x+1) (10x-9)

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

6 0

Answer:

Step-by-step explanation:

Exterior angle property: Exterior angles equals the sum of remote angles

19x - 18 = 7x + 1 + 10x - 9

19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u> {Combine like terms}

19x - 18 = 17x - 8 {Subtract 17x from both sides}

19x - 17x - 18 = -8

2x - 18 = -8 {Add 18 to both sides}

2x = -8 + 18

2x = 10

x = 10/2

x = 5

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Which triangles are similar?

lara31 [8.8K]

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3 years ago

Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.

yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

$I=P\cdot r\cdot t$

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

$7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year$

Now we can use the above formula

$I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9$

Therefore the exact interest on $5,870 at 12% is $410.9

7 0

2 years ago

I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as

ASHA 777 [7]

Answer:

The fraction is = $\frac{21}{9}$

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as $2\frac{1}{3}$ .

The fraction form of the mixed number can be given as :

$2\frac{1}{3}=\frac{7}{3}$

Let the fraction be = $\frac{7x}{3x}$ [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

$7x+3x=30$

Solving for $x$ .

$10x=30$

Dividing both sides by 10.

$\frac{10x}{10}=\frac{30}{10}$

$x=3$

So, the fraction will be = $\frac{7\times 3}{3\times 3}$

⇒ $\frac{21}{9}$

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3 years ago

A, B & C form a triangle where Z

malfutka [58]

Answer:

BC≈8,38

Step-by-step explanation:

AB=a

BC=c

CA=b

a²+b²=c²

3.3²+7.7²=c²

√70,18=√c²

c≈8,38

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2 years ago

Please help!

Rus_ich [418]

Answer:

Step-by-step explanation:

I = PRT

252 = (900)(.07)(T)

252 = (63)(T)

divide 63 from both sides

4 = T

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3 years ago