All categories

3 years ago

The sum of two numbers is -25. One number is 101 less than the other. Find the numbers

Mathematics

2 answers:

zlopas [31]3 years ago

6 0

Answer:

-63, 38

Step-by-step explanation:

1st number = x

2nd number = x+101

x+x+101=-25

2x=-126

x=-63

1st number = x = -63

2nd number = x+101 = 38

LuckyWell [14K]3 years ago

6 0

Answer:

x=38

y= -63

Step-by-step explanation:

x+y=-25

y=x-101

x+(x-101)= -25

2x=-25+101

2x=76

x=76/2

x=38

y=x-101

y=38-101

y= -63

You might be interested in

The ratio of the muffins Baker A baked to the number of muffins Baker B baked was 8 : 5. The ratio of the number of muffins Bake

Ksju [112]

Answer:

170 muffins

Step-by-step explanation:

We start from the ratio between baker B and C

The ratio of cakes baked by both is 4:3.

We know baker C baker 150 muffins:

This mathematically means:

B:C = 4:3 = B:150

This means 4/3 = B/150

B = (4 * 150)/3 = 200

Baker B baked 200 cakes

We now move back to the first statement

The ratio between baker A and B is 8:5

Mathematically, this means:

A:B = 8:5 = A:200

8/5 = A/200

A = (8 * 200)/5 = 320

The number of cakes baker A baker pass baker C would be 320 - 150 = 170 muffins

8 0

2 years ago

Please help me with this question!! fast

lilavasa [31]

The answer would have to be B because of the pi.

4 0

3 years ago

Read 2 more answers

Y=<br> Pls help solve for

miss Akunina [59]

Answer:

$y=39\degree$

Step-by-step explanation:

The given triangle is a right angle triangle .

The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.

The value of y can be calculated using the tangent ratio.

$\tan(y)=\frac{8}{10}$

We solve for y to get,

$y=arctan(\frac{4}{5})$

We evaluate to obtain,

$y=38.66$

$y=39\degree$ to the nearest degree

8 0

3 years ago

after allowing 15% discount on the price of an article and 13% bat was live and the remaining amount in the price of article bec

Eduardwww [97]

Answer:

14000

Explaination:

spwithvat = sp without vat + 13% of sp without vat

let, sp without vat be x.

sp with vat= x + 13% of x.

or, 13447 = x + 13/100 × x

or, 1344700 = 113x

or, x= 1344700/113

x = 11900

Let, mp be y.

sp with vat = mp - 15% of mp

or, 11900 = y - 15/100 × y

or, 1190000 = 85y

or, y= 1190000/85

y= 14000

5 0

3 years ago

Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter

mezya [45]

Answer:

Dimensions: $A=a\cdot b=256$

Perimiter: $P=2a+2b$

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

$A=a\cdot b=256$

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

$b=\frac{256}{a}$

The function we want to optimize is the diameter.

We can express the diameter as:

$P=2a+2b=2a+2*\frac{256}{a}$

To optimize we can derive the function and equal to zero.

$dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16$

The minimum perimiter happens when both sides are of size 16 (a square).

4 0

3 years ago