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jekas [21]
3 years ago
15

The difference between two numbers is 10 and

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

x = 10

y = 5

Step-by-step explanation:

Let the two numbers be x and y

Difference between the two is 10

x-y = 10

Sum;

x+ y is four times the smallest number

Let the smaller number be y

x+ y = 4y

Subtracting equation ii from i

-2y = 10 -4y

4y-2y = 10

2y = 10

y = 10/2

y = 5

Recall;

x-y = 10

x = 10 + y

x = 10 + 5 = 15

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Find the missing side.<br> Round to the nearest tenth.<br> For all 4 pics
Firlakuza [10]

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

<u>1st pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) Cos 27 (cos 27 = 0.89) = \frac{x}{20}

(new equation) 0. 89 = \frac{x}{20}

(multiply 20 on both sides) 0.89 x 20 = \frac{x}{20} x 20

(solve) 17.8 = x

<u>2nd pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write equation) tan 40 (tan 40 = 0.84) = \frac{32}{x}

(new equation) 0.84 =  \frac{32}{x}

(multiply 32 on both sides) 0.84 x 20 =  \frac{32}{x} x 20

(solve) 16.8 = x

<u>3rd pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) cos 55 (cos 55 = 0.57) = \frac{16}{x}

(new equation) 0.57 = \frac{16}{x}

(multiply 16 on both sides) 0.57 x 16 = \frac{16}{x} x 16

(solve) 9.1 = x

<u>4th pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write eqaution) tan 42 (tan 42 = 0.90) = \frac{x}{15}

(new equation) 0.90 = \frac{x}{15}

(multiply 15 on both sides) 0.90 x 15 = \frac{x}{15} x 15

(solve) 13.5 = x

4 0
3 years ago
A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, a
Sedaia [141]
     162
   +207
=   369
     
      
Okay, so it says he descends 285 feet after he's climbed 369 feet. That means he needs to descend a bit more to reach 453 feet, which we'll just call 0 for now. First, we need to do some subtraction:

  369
- 285
=  84  

Okay, we know he needs to descend 84 feet to get to his starting point.
So your answer is C

8 0
3 years ago
How do you do this? Please help
PtichkaEL [24]

Answer:

PO=86.2\\ OM=23.8\\

Step-by-step explanation:

To preface, your figure is going to be a line segment, with O as your midpoint, in between points P & M.

With that being said:

PO+OM=PM

Identify your values:

PO=7y+12\\OM=3y-8\\PM=110

Substitute the values into the first equation:

7y+12+3y-8=110

Combine like terms:

10y+4=110

Subtract 4 from both sides of the equation:

10y=106

Divide by the coefficient of y, which is 10:

y=10.6

Substitute 10.6 for y in segments PO & OM:

PO=7(10.6)+12

OM=3(10.6)-8

PO=74.2+12

OM=31.8-8

Solve:

PO=86.2

OM=23.8

Check your answers by substituting:

PO+OM=PM

86.2+23.8=110

8 0
4 years ago
2. Trouvaughn bought b bags of oranges, which cost 80 cents per bag. If Trouvaughn paid with a
Damm [24]
Amount that trouvaughn paid : $0.80b
ten dollar bill = $10

so $(10-0.80b)
5 0
3 years ago
. Evaluate each of the following without using a calculator. Show all steps clearly. - 5^2​
Verizon [17]

Answer:

25

Step-by-step explanation:

-5^2 expanded is  -5 x -5

- two negatives equal a positive

-visual representation of 5 x 5

O O O O O

O O O O O

O O O O O

O O O O O

O O O O O

7 0
2 years ago
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