Ask question

Ask question

All categories

2 years ago

6

A man can buy 20 mangoes or 30 oranges. If he wants a each amount of each, how many of each would he get? Write an EQUATION to s

olve. Show ALL your work.

1 answer:

mariarad [96]2 years ago

5 0

Answer:

12

Step-by-step explanation:

In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).

Let's say the man have z money, mangoes price is $\frac{1}{20}$ z and the oranges price is $\frac{1}{30}$ z. The equation for money and number of mangoes and oranges will be:

money = mango price * mangoes bought + orange price * orange bought

z= $\frac{1}{20}$ z * x + $\frac{1}{30}$ z *y

1= $\frac{1}{20}$ x + $\frac{1}{30}$ y

- $\frac{1}{30}$ y= $\frac{1}{20}$ x -1

y= -1.5x + 30

y= 30 - 1.5x

If he want equal number of mango and orange, that mean y=x. The calculation will be:

y= 30 - 1.5x

x= 30 - 1.5x

x+ 1.5x = 30

2.5x= 30

x= $\frac{30}{2.5}$ = 12

You might be interested in

PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

2 years ago

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

nevsk [136]

According to the given table, the slope-intercept equation of the line is given by:

$y = -2x + 1$

The equation of a line, in <em>slope-intercept</em> form, is given by:

$y = mx + b$

In which:

The slope is m.

The intercept is b.

In this problem, we are given two points, (3,-5) and (-2,5).

The slope is given by <u>change in y divided by change in x</u>, hence:

$m = \frac{5 - (-5)}{-2 - 3} = -2$

Hence:

$y = -2x + b$

Point (3,-5) means that when $x = 3, y = -5$ , which is used to find b.

$y = -2x + b$

$-5 = -2(3) + b$

$b = 1$

Hence, the equation of the line is:

$y = -2x + 1$

A similar problem is given at brainly.com/question/24685547

6 0

1 year ago

we do not know how much the price of a commodity is, but it has been reduced by 10% and now costs 20€. What was the starting pri

MrRissso [65]

I got 22 because if u do 20 multiplied by 10% that gives u 2 which u then add onto the 20 to get the starting price. 10% of 22 is 2 and then 22-2 = 20 (if u we’re doing it from the starting price)

4 0

1 year ago

An elf counted 12 small holiday sweaters, 34 medium holiday sweaters, and 27 large holiday sweaters on the store shelves. She al

mariarad [96]

Answer:

What is the question?

Step-by-step explanation:

7 0

2 years ago

Please help me out! the question is

kupik [55]

They had the same quotient because both of those equations are equal

5 0

2 years ago