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exis [7]
3 years ago
15

Create and solve a linear equation that represents the model, where squares and triangles are shown evenly balanced on a balance

beam. Assume the weight of a square is 1 unit and the weight of a triangle is unknown.

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0

Let the weight of triangle be x units. You are given that the weight of square is 1 unit.

1) On the left side of the balanced beam you can see 3 triangles and 5 squares. The weight on left side is 3·x+5·1=3x+5 units.

2) On the right side of the balanced beam you can see 2 triangles and 7 squares. The weight on right side is 2·x+7·1=2x+7 units.

3) If the whole system is balanced, then the weights on left and right sides are equal:

3x+5=2x+7.

Solve this equation:

3x-2x=7-5,

x=2 units.

Answer: option A

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Find any 6 ratinol numbers between -5/6 and 5/8​
natta225 [31]

Answer:

There is a variety of answers. you will find an example below

Step-by-step explanation:

To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.

- 5/6 = -40 / 48

5 / 8 = 30 / 48

Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)

5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.

Hope this helps

3 0
3 years ago
What is the simplified form of the quantity 4 z squared minus 16z plus 15 over the quantity 2 z squared minus 11 z plus 15?
sleet_krkn [62]

Answer:

\frac{(2z-3)}{(z-3)}

Step-by-step explanation:

\frac{4z^2-16z+15}{2z^2-11z+15}

To simplify this we factor the numerator and denominator separately

factor 4z^2 - 16z+15

We apply 'ac' method, 4* 15 = 60

-10 * -6 = 60

-10 - 6 = -16

Now we split -16z using factors -10z -6z

4z^2 - 10z-6z+15

Take out GCf from first two terms and last two terms

2z(2z-5)-3(2z+5)

(2z-3)(2z-5)

factor 2z^2 - 11z+15

We apply 'ac' method, 2* 15 = 30

-5 * -6 = 30

-5 - 6 = -11

Now we split -11z using factors -5z -6z

2z^2 - 5z-6z+15

Take out GCf from first two terms and last two terms

z(2z-5)-3(2z-5)

(z-3)(2z-5)

Now we replace the factors

\frac{(2z-3)(2z-5)}{(z-3)(2z-5)}

Cancel out 2z-5 at the top and bottom

\frac{(2z-3)}{(z-3)}


6 0
4 years ago
Read 2 more answers
Anyone got tips for making friends in school?
elena-14-01-66 [18.8K]

Answer:

dam well try to join in conversations and well be yourself not like nerd let yourself feel new things and act cool not like really clingy or to happy.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plz help will give brainliest!!
Vilka [71]
You’re answer would be use and chemical makeup I believe
4 0
4 years ago
Read 2 more answers
Which of these values of x is NOT a solution of the equation tanx= 1?
Kobotan [32]

The tangent ratio is an illustration of the trigonometry identity

The value of x that is not a solution of tan(x) = 1 is 3\pi/4

<h3>How to determine the value that is not a solution</h3>

The trigonometry identity is given as:

tan(x) = 1

Next, we test the x values using a calculator.

When x = -7\pi/4, we have:

tan(-7\pi/4) = 1

When x = 3\pi/4, we have:

tan(3\pi/4) = -1

When x = 5\pi/4, we have:

tan(5\pi/4) = 1

When x = \pi/4, we have:

tan(\pi/4) = 1

Hence, the value of x that is not a solution of tan(x) = 1 is 3\pi/4

Read more about trigonometry identity at:

brainly.com/question/7331447

5 0
3 years ago
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