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enyata [817]
3 years ago
7

" align="absmiddle" class="latex-formula">

What are the values of x and y?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

x = \frac{4}{5}, y = \frac{1}{5}

Step-by-step explanation:

Express as 2 equations, that is

x + y = 1 → (1)

- x + 9y = 1 → (2)

Add the 2 equations term by term to eliminate x, that is

10y = 2 ( divide both sides by 10 )

y = \frac{2}{10} = \frac{1}{5}

Substitute this value into (1) and solve for x

x + \frac{1}{5} = 1 ( subtract \frac{1}{5} from both sides )

y = \frac{5}{5} - \frac{1}{5} = \frac{4}{5}

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Yesterday the snow was 2 feet deep in front of archies house. Today,the snow depth dropped to 1.6 feet because the day is so war
pshichka [43]

Answer:

20%

Step-by-step explanation:

becuz 2×.2 = .4

subtract .4 from 2 and it's 1.6 and change the .2 to percentage

3 0
3 years ago
For the class of 2013's prom Norman's dress shop sold cheaper dresses for $90 each and more expensive dresses for $140 each. The
Tema [17]

Answer:

Number of cheaper dresses sold  is 35

Number of expensive  dresses sold  is 15

Step-by-step explanation:

Given:

Cost of cheaper dresses = $90

Cost of  expensive dresses = $140

Total cost of  the dresses = $5250

To Find:

Number of cheaper dress = ?

Number of expensive  dress = ?

Solution:

Let

The number of  cheaper dresses be x

The number of  expensive dresses be y

(Number of cheaper dresses X cost of cheap dress) +  (Number of Expensive dresses X cost of  expensive dress)  =  $5250

x \times90 +y \times 140 = 5250=  $5250

It is given that the 20 more of the cheaper dresses than the expensive dresses is sold

So,

number of cheaper dress  =  20  +  number of expensive dress

x = 20 + y---------------------------------------(1)

(20+y) \times90 +y \times 140 = 5250 = 5250

(20 \times 90 +y\times 90) +y \times 140= 5250

1800 + 90y+ 140y = 5250

1800 + 230y = 5250

230y =5250 -1800

230y = 3450

y = \frac{3450}{230}

y = 15

Substituting y in (1)

x = 20 +15

x= 35

5 0
4 years ago
The distance on the map between Yappy city and Quiet city is 23 cm.
jekas [21]

The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

The distance on the map between Yappy city and Quiet city is 23 cm

and,

5cm = 2 miles

now, for 1 cm on map it is equal to 2/5 miles of actual distance.

Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :

actual distance :

2/5 x 23 = 9.2 miles

Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.

Read more about ratio at:

brainly.com/question/17869111

#SPJ1

5 0
1 year ago
How do you solve 3/4 (5+x) + 4 = 3x + 1? Thanks:)
elena-s [515]

\dfrac{3}{4}(5+x)+4=3x+1\ \ \ \ |\cdot4\\\\3(5+x)+16=12x+4\ \ \ |\text{use distributive property}\\\\(3)(5)+(3)(x)+16=12x+4\\\\15+3x+16=12x+4\\\\31+3x=12x+4\ \ \ \ |-31\\\\3x=12x-27\ \ \ \ |-12x\\\\-9x=-27\ \ \ \ |:(-9)\\\\\boxed{x=3}

3 0
3 years ago
Given f(x)= 3x+2, what is the Inverse Function?
Grace [21]

Answer:

Step-by-step explanation:

For this case we must determine the inverse of the following function:

f(x)=3x-2

Step 1:

We would write

y=f(x) or y=3x-2

Step 2:

We clear x:

y+2=3x

\frac{y+2}{3}=x

Step 3:

"x" and "y" are exchanged:

y=\frac{x+2}{3}

The inverse is:

f^{-1}(x)=\frac{x+2}{3}

8 0
3 years ago
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