HELP PLEASE! WILL MARK BRAINLIEST

A business executive bought 40 stamps for

alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

$x + y =40$

<em>(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)</em>

Now, let's make an equation for the cost of these stamps.

$0.33x + 0.23y = 12.40$

<em>(AKA - The cost of the stamps in total, should equal $12.40).</em>

So now, we have our two equations:

$x + y =40\\0.33x+0.23y=12.40$

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

$x+y=40\\x=40-y$

Now, let's put this into our second equation.

$0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40$

Distribute, and solve for y.

$13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8$

Now, we plug this into one of our equations.

$x+y=40\\x+8=40\\x=32$

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0

1 year ago

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat

vlabodo [156]

Answer:

y = 360(1.03)x

Step-by-step explanation:

$F = P x (1 + i)^n$

F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. $F = ($360)(1.03)^x$

The principal amount of the money = $360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3%.

Since, this amount represented by y,

The required equation that represents the amount of money in Josiah’s account, y, after x years is, $= 360(1+\frac{3}{100} )^x\\ = 360(1+0.03 )^x\\ = 360(1.03 )^x$

This amount represented by y,

Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

$y = 360(1.03 )^x$

Hope this helps you!

Have a nice evening! ;)

5 0

3 years ago

Read 2 more answers

Prove the divisibility of the following numbers:

yan [13]

$8^{10}-8^9-8^8=8^8(8^2-8-1)=8^8(55)$

$81^7-27^9-9^{13}=3^{28}-3^{27}-3^{26}=3^{26}(3^2-3-1)=3^{26}(5)=3^{24}(45)$

8 0

3 years ago

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students’ attitudes toward school and stud

sineoko [7]

Answer:

The conditions for carrying out a significance test are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

Step-by-step explanation:

SRS means simple random sample; it is a sampling technique in which individuals can be chosen from the population in such a way that every individual stands an equal chance to be selected as the sample.

The conditions needed or required to carry out a significance test of the teacher's suspicion are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

All of these conditions are met; the sampling is random as indicated by SRS, it is a normal distribution because one popular rule states that a sample size of at least 30 is enough and here we have a sample size of 45, it is independent because the sample size of 45 is less than 10% of the population

7 0

3 years ago

Read 2 more answers

Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18

enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6 = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0

3 years ago