Twice the sum of a number and 5 is equal to three times the difference of the number and 3. Find the number.

Mathematics

1 answer:

Volgvan3 years ago

8 0

let x be the number

2(x+5)= ±3(x-3)

2x+10= 3x-9 or 2x+10= -3x+9

x=19 or x=0.2

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Sarah works ar a shoe store. She earns a base salary of $1,500 per month, plus a 25% commission on the amount of shoe sales she

STatiana [176]

Answer:

Step-by-step explanation:

goal is 2,000 and she already makes 1,500

2,000-1,500 gives you the amount she needs to earn from shoe sales

she needs to earn 500 dollars with a 25% commision

25% can also be written as 25/100

for every $100 she makes, she gets $25 but she needs $500

100:25

we need the second number in the ratio to equal $500

500 divided by 25 is 20

20 x 100 : 25 x 20

2000: 500

ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer

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2 years ago

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denis-greek [22]

The answer is 3.800 because you round up

6 0

3 years ago

In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of

Gwar [14]

We can use the Сosine formula to solve this problem.
First we must find the third side (АС) of the triangle:

$AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx 12.67 \ cm$

The smallest angle of the triangle lies opposite the smallest side, so we need to find m∠C.

$cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC} \\ \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx 0.7804$

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°

I hope this helps