All categories

3 years ago

50x+30y= 550 what is x and y

Mathematics

1 answer:

melomori [17]3 years ago

8 0

Answer:

x = 8 and y = 5

Step-by-step explanation:

The question is as following:

what is x and y for the following system of equations:

50x + 30 y = 550 ⇒ (1)

44x + 36 y = 532 ⇒ (2)

Subtract (1) - (2)

∴ 6x - 6y = 18

Divide both sides by 6

∴ x - y = 3

∴ x = 3 + y ⇒ (3)

Substitute with the value of x at (1)

50(3+y) + 30y = 550

Solve for y

150 + 50y + 30y = 550

80y = 550 - 150 = 400

∴ y = 400/80 = 5

Substitute with the value of y at (3)

∴ x = 3 + y = 3 + 5 = 8

So, x = 8 and y = 5

You might be interested in

Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike t

marusya05 [52]

Answer:

How many miles does he ride his bike there and back?

6 miles.

What information is extra?

The hour at which he leaves his house.

Step-by-step explanation:

We know that he rides 3 miles each way.

Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.

So he rides 3 miles both times, if we add that, we get:

3 miles + 3 miles = 6 miles

So:

How many miles does he ride his bike there and back?

6 miles.

And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.

Notice that we never did use the fact that he leaves his house at 4 p.m.

Then:

What information is extra?

The hour at which he leaves his house.

6 0

3 years ago

Omar wants to purchase a bike helmet for 22.55 and a bike for 134.45.

noname [10]

Answer:

$169.96 dollars

Step-by-step explanation:

Given the following questions:

8.25% of 22.55 and 134.45

In order to find the answer, we will have to add the initial costs of the items together, then we will calculate using the formula for percentages to find the tax rate.

$22.55+134.45=157$
$157$

Calculate the percentage:
 $\frac{p\times c}{100}$
$\frac{8.25\times157}{100} =8.25\times157=1295.25\div100=12.9525$
$=12.9525$
$12.9525$
$2 < 5$
$=12.96$

Add the sales tax:
$157+12.96=169.96$
$=169.96$

Which means the two items along with an 8.25% sales tax costs "$169.96 dollars."

Hope this helps.

5 0

2 years ago

Kiran and his cousin work during the summer for a landscaping company. Kiran’s cousin has been working for the company longer, s

Fofino [41]

Sry I have no idea 768373

8 0

3 years ago

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

4 0

3 years ago

You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in

lilavasa [31]

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = $\frac{length on a drawing}{actual length}$

scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

$\frac{14}{4}$ = 3.5 inches

$\frac{18}{4}$ = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

$\frac{6}{4}$ = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

6 0

4 years ago