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2 years ago

How do you solve system of equations word problems?

2 answers:

7 0

Highlight important information
Define your Varibales
Write two equations
Use one of the methods for solving System of equations to solve
Check your answer by subsisting your order pair into the original Equation

kaheart [24]2 years ago

5 0

Well first you have to figure out what you need to solve. then you write out the two equations and solve the system s from there

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The ratio of men to women in a certain factory is 3 to 4. There are 216 men. How many workers are there ?

weqwewe [10]

W = 288

Total = M+W

Total =216+ 288 = 504

5 0

2 years ago

Evaluate the following pic

GREYUIT [131]

Answer:

1) $\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}=-11$

3) Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

Step-by-step explanation:

1) $\sqrt{1225}+\sqrt{1024}$

Prime factors of 1225 : 5x5x7x7

Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2

$\sqrt{1225}+\sqrt{1024}\\=\sqrt{5\times5\times7\times7}+\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2}\\=\sqrt{5^2\times7^2}+\sqrt{2^2\times2^2\times2^2\times2^2\times2^2}\\=5\times7+(2\times2\times2\times2\times2)\\=35+32\\=67$

$\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}$

We know that $\sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)$

Applying radical rule:

$\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11$

So, $\sqrt[3]{-1331}=-11$

3) $2:p :: p:8$

It can be written as:

$p*p=2*8\\p^2=16\\Taking \ square \ root \ on \ both \ sides\\\sqrt{p^2}=\sqrt{16}\\p=\pm 4$

Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6$

Put value of x, y and z in equation and solve:

$x^3+y^2+z \\=(3)^3+(-2)^2+(-6)\\=27+4-6\\=25$

So, $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}$

We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd

$\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}\\\\=\frac{1296\times-8\times 27}{46656}\\\\=\frac{-279936}{46656} \\\\=-6$

So, $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

8 0

2 years ago

What type of symmetry does a regular pentagon have

solong [7]

Just a regular pentagon has 5 sides. and also has 5 lines of symmetry.

So if a shape has 7 sides it will have 7 lines of symmetry.

Its always going to be the same number.

plz mark me as brainliest :)

8 0

3 years ago

Calculate the number of roots of <br> 2sin^3x-5sin^2x+2sinx=0<br> in the interval 0<=x<=pi

natita [175]

Answer:

Which points are collinear?

G, A, and T

G, E, and T

A, T, and E

G, A, and E

Step-by-step explanation:

6 0

2 years ago

Anyone tryna do a video call (no weird stuff)

melamori03 [73]

Answer:

I.dk but you need to focus on something school related for a bit

Step-by-step explanation:

Here is a fact: Islam is an Abrahamic monotheistic religion teaching that Muhammad is a messenger of God. It is the world's second-largest religion with 1.9 billion followers, or 24.9% of the world's population, known as Muslims. Muslims make up a majority of the population in 47 countries

Go check out my account i post a daily fact and a pic of me every day

8 0

2 years ago

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