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3 years ago

Solve the system of equations and choose the correct ordered pair. 2x+6=6 and 3x-2y=20

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

4 0

Answer:

The solution is the point (6,-1)

Step-by-step explanation:

<u><em>The correct question is</em></u>

Solve the system of equations and choose the correct ordered pair. 2x+6y=6 and 3x-2y=20

we have

$2x+6y=6$ ----> equation A

$3x-2y=20$ ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The intersection point both lines is (6,-1)

see the attached figure

therefore

The solution is the point (6,-1)

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Answer:

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Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

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3 years ago

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3 years ago

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2 years ago

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2 years ago

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Mrs.Cleaver mixes 1.24 liters of red paint with 3 times of blue paint to obtain purple paint. She divides the paint equally in 5

slamgirl [31]

The amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Further explanation:

Mrs. Cleaver mixes 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint used is calculated as,

${3} \times {1.24}=3.72 \text { liters}$

Therefore, the total paint mixture is the sum of blue paint and red paint.

$\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}$

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}$

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is $\dfrac{3}{4}$ .

Now, as it is known that the fraction of blue paint to the total paint is $\dfrac{3}{4}$ and the amount of paint in a container is $0.992 \text{ liters}$ then the blue paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}$

Thus, the amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Learn more:

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

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3 years ago

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