All categories

3 years ago

Sum of two numbers is 95. If one exceeds the other by 25, find the numbers. Pls answer

Mathematics

1 answer:

Nitella [24]3 years ago

6 0

Answer:

60 and 35

Step-by-step explanation:

Let:

First number = x

Second number = y [ y > x ]

According to question:

x + y = 95

= > y = 95 - x .... ( i )

y = x + 25 ...... ( ii )

From ( i ) and ( ii ) we get:

95 - x = x + 25

= > 2x = 70

= > x = 35

y = 95 - x [ x = 35 ]

= > y = 60

Therefore numbers are 60 and 35.

You might be interested in

A parabola has a vertex at (0,0). The focus of the parabola is located on the positive y-axis.

BabaBlast [244]

The parabola opens in the direction of the focus.

Since the focus is above the vertex, it opens up.

4 0

4 years ago

Read 2 more answers

Find the area of the composite figure

Greeley [361]

Answer:

the answer is 360

Step-by-step explanation:

multiply the numbers to get the answer

3 0

3 years ago

A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that

lora16 [44]

Answer:

x ≤ 204 crates

Step-by-step explanation:

Greatest weight of the container = 27500 kilograms

Weight of other shipment = 7100 kilograms

Weight of crates = 100 kilogram

x = number of 100 kilogram crates that can be loaded into the shipping container.

The inequality:

27500 ≤ 7100 + 100x

27500 - 7100 ≤ 100x

20,400 ≤ 100x

x ≤ 20,400 / 100

x ≤ 204 crates of 100 kilogram

4 0

3 years ago

A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?

ANEK [815]

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

$given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \: \frac{ - 3}{4} \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \: \: \: y1 = - 6 \: \: and \: m = \frac{ - 3}{4} \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) = \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4) \\ 4(y + 6) = - 3(x - 4) \\ 4y + 24 = - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

8 0

3 years ago

Help me with my math pls :)

MrMuchimi

Answer:

4(x-8)=-32+4: x=1

2(x-2)=-3-2x: x1/4

3+5x=5(x+2)-7: x=0

8x+38=-3(-6-4x) x=5

Step-by-step explanation:

4(x-8)=-32+4

add subtract the numbers

-32+4=-28

4(x-8)=-28

Divide both sides by 4

$\frac{4(x-8)}{4}=\frac{-28}{4}$

Simplify

x-8=-7

Add 8 on both sides

x+8-8=-7+8

Simplify

x=1

2(x-2)=-3-2x

Expand 2(x-2)
apply distributive law: a(b-c)=ab-ac

a=2 b=x c=2

=2x-2·2

multiply the numbers

2·2=4

=2x-4

2x-4=-3x-2

Add 4 to both sides

2x-4+4=-3-2x+4

simplify

2x=-2x+1

Add 2x on both sides

2x+2x=2x+1+2x

Simplify

4x=1

Divide by 4 on both sides

4x÷4=1÷4

Simplify

x=1/4

3+5x=5(x+2)-7

We move all terms to the left:

3+5x-(5(x+2)-7)=0

We calculate terms in parentheses: -(5(x+2)-7), so:

5(x+2)-7

We multiply parentheses

5x+10-7

We add all the numbers together, and all the variables

5x+3

Back to the equation:

-(5x+3)

We get rid of parentheses

5x-5x-3+3=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

8x+38=-3(-6-4x)

Simplifying

8x + 38 = -3(-6 + -4x)

Reorder the terms:

38 + 8x = -3(-6 + -4x)

38 + 8x = (-6 * -3 + -4x * -3)

38 + 8x = (18 + 12x)

Solving

38 + 8x = 18 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.

38 + 8x + -12x = 18 + 12x + -12x

Combine like terms: 8x + -12x = -4x

38 + -4x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0

38 + -4x = 18 + 0

38 + -4x = 18

Add '-38' to each side of the equation.

38 + -38 + -4x = 18 + -38

Combine like terms: 38 + -38 = 0

0 + -4x = 18 + -38

-4x = 18 + -38

Combine like terms: 18 + -38 = -20

-4x = -20

Divide each side by '-4'.

x = 5

Simplifying

x = 5

Hope this helps

4 0

3 years ago