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3 years ago

The sum of two numbers is 53 and the difference is 11. What are the numbers?

1 answer:

4 0

Let assume that the the two numbers are X and Y and that X is the large number.
According to the question,
X + Y = 53 .................. Equation 1
then, X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1,
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number].

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

vampirchik [111]

<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

$24.9^{\circ}$ and $65.1^{\circ}$

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to $90^{\circ}$ .

Let $a$ be the measure of the complementary angle.

If an angle is $40.2^{\circ}$ more than its complementary angle, the measure of that angle is $a +40.2$ . The sum of both angles are expressed $a +(a +40.2)$ but since the have to add to $90$ as they are complementary, $a +(a +40.2) = 90$ .

Solving for $a$ :

$a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9$

Since the other angle measures $a +40.2$ , we can plug in the value of $a$ to find the measure of the angle.

Evaluating $a +40.2$ :

$a +40.2 \\ 24.9 +40.2 \\ 65.1$

The measure of the angles are $24.9^{\circ}$ and $65.1^{\circ}$

4 0

2 years ago

a washer and dryer cost $586 combined. the washer costs $64 less than the dryer. what is the cost of the dryer?

oksano4ka [1.4K]

Hello!

*I'm not very good at algebra, so I am not 100% sure this is correct!*

w = cost of washer

d = cost of dryer

w + d = $586

w = d - 64

d - 64 + d = 586

2d = 586 + 64

2d = 650

d = 650 / 2 = 325

586 - 325 = 261

Check 325 - 261 = 64

So, the dryer costs $325 and because the washer is $64 less than the dryer, it costs $261.

7 0

3 years ago

Find the zero of the function /(x) = 5x-3.

Bad White [126]

Answer:

3/5

Step-by-step explanation:

Set it equal to 0

5x-3=0

Then solve for x

5x=3

x=3/5

Check

5(3/5) - 3

3-3

4 0

3 years ago

Find the compound interest compounded annually on rupees 2700 rate 6 ⅔% per annum and time is 2 years

dalvyx [7]

<u>Answer:</u>

plz mark me as brainliest ...TOOK ME LONG TIME TO TYPE

answer = CI = 3108 RUPEES

<u>Step-by-step explanation:</u>

i am doing the method in which u find the simple interest of first year then second year.

SI FOR 1ST YEAR= P X R X T / 100

SI = 2700 X 20 X 2 / 3 X 100 ( RATE OF INTEREST IS 20 / 3)

SI = 108000/300

SI = 360

SI FOR SECOND YEAR =

P = 2700 + 360= 3060

SI = 3060 X 20 X 2 / 300

SI= 122400 / 300

SI = 408

COMPOUND INTEREST (CI) = PRINCIPLE + SI OF 2ND YEAR

CI = 2700 + 408

CI = 3108 RUPEES

or u can solve be the method

CI = amount - principle

Amount= principle x (change in ratio) raised to time

***************************************

6 0

3 years ago

What is the equation of the line that passes through the point (1,7) and is perpendicular to the graph of Y=-14X+11

vlada-n [284]

Y=1/14x might be the answer

4 0

3 years ago