All categories

3 years ago

3/5x + 1/4y = -1/2 in standard form

Mathematics

1 answer:

Soloha48 [4]3 years ago

3 0

Answer:

$\large\boxed{12x+4y=-10}$

Step-by-step explanation:

The standard form:

$Ax+By=C$

A, B and C are the integer.

We have:

$\dfrac{3}{5}x+\dfrac{1}{4}y=-\dfrac{1}{2}$

Find the common denomintaor of given fractions.

We have 5, 4 and 2. The common denominator of 2, 4 and 5 is 20.

20 = 2 · 10 = 4 · 5 = 5 · 4

Thereofre multiply both sides by 20:

$20\!\!\!\!\!\diagup^4\cdot\dfrac{3}{5\!\!\!\!\diagup_1}x+20\!\!\!\!\!\diagup^4\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=20\!\!\!\!\!\diagup^{10}\cdot\left(-\dfrac{1}{2\!\!\!\!\diagup_1}\right)\\\\(4)(3x)+(5)(1y)=(10)(-1)\\\\12x+4y=-10$

You might be interested in

Words problems involving length and money

stiv31 [10]

Answer:

Step-by-step explanation:

Since 8 poster takes 48 inches of tape

48/8 = 6

each poster will take 6

if you have two posters

6x2=12

so 12

5 0

2 years ago

Read 2 more answers

What is the area of a garden that measures 4mx4mx6mx4mx10mx8m

topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

One square
Two rectangles

Recall that the area of a square is given by:

$A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square$

On the other hand, the area of a rectangle is given by:

$A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle$

Therefore:

FOR THE SQUARE:

$L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}$

FOR THE RECTANGLE 1:

$L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}$

FOR THE RECTANGLE 2:

$L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}$

Finally, the area of a garden is the sum of the three areas:

$A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}$

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

4 0

3 years ago

a food truck sells salads for 6.50 each and drinks for 2.00 each. The food truck's revenue from selling a total of 209 salads an

kati45 [8]

S+d=209
d=209-s
6.5s+2d=836.5
6.5s+2(209-s)=836.5
6.5s+418-2s=836.5
4.5s+418=836.5
4.5s=418.5
s=93

There were 93 salads sold that day.

4 0

3 years ago

22. If triangle DEC equals about triangle BEC, which is true by CPCTC?

Kruka [31]

<span>D. Line AE equals about line ED because if you measure line AE it is the same length as line ED</span>

4 0

2 years ago

Read 2 more answers

Determine if the outside temperature is a function of the time of day or if the time of day is a function of temperature'.

Evgen [1.6K]

<span>The temperature is a function of the time outside. The sun is the cause for the temperature. The temperature is not the cause of the sun.

</span>

8 0

3 years ago