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Pie
2 years ago
12

One number is four more than five times another. If their sum is increased by one, the result is thirty-five. Find

Mathematics
2 answers:
Zepler [3.9K]2 years ago
6 0

Answer:

29 and 5

Step-by-step explanation:

<u>Given system of equations</u>

\left \{ {{x=4+5y} \atop {x+y+1=35}} \right.

<u>Substitute top equation into bottom equation to determine y</u>

<u />x+y+1=35\\\\(4+5y)+y+1=35\\\\4+5y+y+1=35\\\\5+6y=35\\\\6y=30\\\\y=5

<u>Substitute y=5 into top equation to determine the x-value</u>

<u />x=4+5y\\\\x=4+5(5)\\\\x=4+25\\\\x=29

Therefore, the two numbers are 29 and 5

Veseljchak [2.6K]2 years ago
3 0

Answer:

x=4+5yif sum is increased by 3 (x+y+3), result is 31x+y+3=31minus 3 both sidesx+y=28x=4+5y subsiutute4+5y+y=284+6y=28minus 4 both sides6y=24divide by 6y=4sub backx=4+5yx=4+5(4)x=4+20x=24the numbers are 24 and 4

Step-by-step explanation:

If I helped you


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SVETLANKA909090 [29]

Answer:

The percentage loss = 10.9375 %

Step-by-step explanation:

Let the cost price = x

Since the marked price is 18.75% above the cost price so the

Marked price = 1.1875 x

When a discount of 25% is allowed on the marked price , the selling price will be Rs. 1425

⇒ Marked price × 0.75 = 1425

⇒ Cost price × ( 1.1875 × 0.75 ) = 1425

⇒ Cost price × ( 0.890625 ) = 1425

⇒ Cost price = 1600

Selling price = 1425

So percentage loss =  × 100

% Loss =  × 100

% Loss = 10.9375 %

5 0
2 years ago
What's the area of the triangle with 9mm 76mm 100mm
svlad2 [7]

9514 1404 393

Answer:

  342 mm²

Step-by-step explanation:

The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...

  A = 1/2bh

  A = (1/2)(9 mm)(76 mm) = 342 mm²

The triangle shown has an area of 342 mm².

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<em>Additional comment</em>

The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)

3 0
2 years ago
Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?
svetoff [14.1K]

Answer:

1:3

Step-by-step explanation:

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6 0
2 years ago
Please help right now!!!!! Solve the system of equations below. x + y = 7 2x + 3y = 16
motikmotik

Answer:

x=5 and y=2.

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system.

x+y=7...(1)

2x+3y=16...(2)

From equation (1), we will get:

x=7-y

Upon substituting this value in equation (2), we will get:

2(7-y)+3y=16

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Now, we will substitute y=2 in equation (1).

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x=5

Therefore, the point (5,2) is solution for our given equation.

7 0
3 years ago
Use the rule 2 + 3 to find the missing number on the table.
vfiekz [6]

Answer:

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Step-by-step explanation:

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Hope it helps!

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