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Nata [24]
4 years ago
13

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

beam.
A. + 7 = 12; x = 5
B. x = 5 + 7; x = 12
C. x + 5 = 7; x = 2
D. x + 7 = 5; x = -2

Mathematics
1 answer:
Murljashka [212]4 years ago
5 0

Answer:

C

Step-by-step explanation:

We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square

The balance beam is balenced

Let x be the square mass

  • x+5 = 7            substract five from each side
  • x+5-5 = 7-5
  • x = 2

The solution is 2

C fits perfectly what we prooved

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Drag the missing statements and reasons to the correct spot to complete the proof
sladkih [1.3K]

Answer:

AD~CB or ABD~BCD OR AB~CD

3 0
3 years ago
7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a
MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

In this problem, we ahve that:

T = 38200, P = 7500, I = 0.075

So

First we find how much we have to earn in interest.

38200 = E + 7500.

E = 38200 - 7500

E = 30700

How much time to earn this interest?

E = P*I*t

30700 = 7500*0.075*t

t = \frac{30700}{7500*0.075}

t = 54.6

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0
3 years ago
Read 2 more answers
3 ft Find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate it. 4 ft 5 ft
Sedbober [7]

Answer:

perimeter = 19.42 ft

Step-by-step explanation:

perimeter of semi circle = 6π/2 = 9.42

perimeter of cone = 5 + 5 = 10

10 + 9.42 = 19.42 ft

7 0
3 years ago
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Please help!!! urgent!!! question above ^
LuckyWell [14K]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
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How many solutions does these equations have? One, infinite or no solutions?
s2008m [1.1K]

Answer:

  • 1. 7(y + 3) = 5y+8: <u>one solution</u>

  • 2. 10 + 6x= 2(5+3x): <u>infinite solutions</u>

  • 3. 3x + 5 - x=2x + 7: <u>no solutions</u>

  • 4. 4x - 4 = 2x + 8: <u>one solution.</u>

Explanation:

<u>1. 7(y+3)=5y+8</u>

<u></u>

a)  Distributive property of multiplication over addtion:

  • 7y + 21 = 5y + 8

b) Subtraction property of equalities:

  • 7y - 5y = 8 - 21

c) Combine like terms:

  • 2y = - 13

d) Division property of division:

  • y = - 13/2

e) Conclusion: the equation has one solution.

<u>2. 10 + 6x = 2(5+3x)</u>

a) Distributive property of multiplication over addition:

  • 10 + 6x = 10 + 6x

b) Subtraction property of equality:

  • 6x - 6x = 10 - 10

c) Simplify (combine like terms)

  • 0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

<u>3. 3x + 5 - x = 2x + 7</u>

a) Combine like terms:

  • 2x + 5 = 2x + 7

b) Subtraction property of equalities:

  • 2x - 2x = 7 - 5

c) Combine like terms (simplify)

  • 0 = 2

That is always false, no matter the values of x.

d) Conclusion: the equation does not have any solutions.

<u>4. 4x - 4 = 2x + 8</u>

<u></u>

a) Subtraction property of equality

  • 4x - 2x - 4 = 2x - 2x + 8

b) Combine like terms

  • 2x - 4 = 8

c) Addtiion property of equalities:

  • 2x = 8 + 4

d) Combine like terms (simplify)

  • 2x = 12

e) Division property of equalities:

  • x = 6

f) Conclusion: the equation has one solution

5 0
3 years ago
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