Ask question

Ask question

All categories

3 years ago

6

The sum of two positive integers is 40. When the smaller integer is subtracted from twice the larger, the result is 41. Find the

two integers.

1 answer:

Inga [223]3 years ago

6 0

Answer:

13 and 27

Step-by-step explanation:

x+y=40

x- smaller

2y-x=41

x=2y-41

Now to plug it into our first equation:

3y-41=40

3y=81

y=27

x=13

You might be interested in

The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3 centimeters. What

UkoKoshka [18]

Answer:

36 cubic centimeters

Step-by-step explanation:

In this question, we are tasked with calculating the volume of the rectangular prism.

mathematically, that can be obtained by using the formula for the volume of the rectangular prism.

V = Base area * height

from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.

Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters

3 0

3 years ago

Read 2 more answers

HELP! NOW! <br> Prove the trig identity:<br> 3sinx/1-cosx=3cscx+3cotx

vichka [17]

Step-by-step explanation:

Given

To Prove

$\dfrac{3\sin x}{1-\cos x}=3\csc x+3\cot x$

Take the Left side of equation and rationalize

$\Rightarrow \dfrac{3\sin x}{1-\cos x}\times \dfrac{1+\cos x}{1+\cos x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{1-\cos^2 x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{\sin^2 x}\\\\\Rightarrow \dfrac{3\sin x}{\sin ^2x}+\dfrac{3\sin x\cos x}{\sin^2 x}\\\\\Rightarrow \dfrac{3}{\sin x}+\dfrac{3\cos x}{\sin x}\\\\\Rightarrow 3\csc x+3\cot x$

Left side is equal to right side

Hence, proved

5 0

3 years ago

Write an expression for an increased by 3

Airida [17]

5x + 6
6 more than 5 times a number
Hope this is correct!

5 0

4 years ago

Read 2 more answers

HELLO PLEASE PLS PLS PLS ANSWER ASAP!! WILL GIVE BRAINLIEST ONLY TO RIGHT ANSWER

Zigmanuir [339]

Answer:

-1

Step-by-step explanation:

the answer is -1 because t is -16, so add -16+5 and that is -11, then divide by 11 and the answer is -1

3 0

3 years ago

15 _ { 10 } + X _ { 2 } = 11011 _ { 2 }

KatRina [158]

11011₂ = 2⁴ + 2³ + 2¹ + 2⁰ = 27

15 + <em>x</em>₂ = 27

<em>x</em>₂ = 12 = 8 + 4 = 2³ + 2² = 1100₂

5 0

3 years ago