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Lynna [10]
2 years ago
6

After the bank cashed a check Maureen wrote for $60, her balance was -$14.The equation b+(-60)=-14 can be used to represent this

situation, where b is Maureen’s balance, in dollars, before the check was cashed. Maureen attempted to solve the equation using the steps below.
b+(-60)=-14
-60 -60
b =-74

What error, if any, did Maureen make?
Maureen’s work is correct, and her original balance was -$74.
Maureen should have added 60 to both sides.
Maureen should have added 14 to both sides.
Maureen made a computational error when she subtracted -14-60
Mathematics
2 answers:
dem82 [27]2 years ago
5 0

we are given

b+(-60)=-14

Since, we have to solve for b

b-60=-14

so, we will isolate b ony one side

so, we will add 60 on both sides

b-60+60=-14+60

b=-14+60

b=46

so,

Answer:

Maureen should have added 60 to both sides.

Temka [501]2 years ago
5 0

Answer:

Maureen should have added 60 to both sides.

Step-by-step explanation:

In solving this equation, Maureen wants to cancel the -60 in order to get the variable, b, isolated.

To cancel a -60, we would add 60; this is because positive and negative numbers are opposites, and we use opposites to cancel.

Therefore she should have added 60 to each side.

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Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
Reptile [31]

Answer: B and E

Step-by-step explanation:

A polynomial is an algebraic expression of degree one variable and above.

A polynomial does not have negative in it exponent and cannot be divided by a variable.

Polynomial operations are addition, subtraction and multiplication. It also involves non-negative integer exponents of variables.

From the options given to you, only B and E are polynomials

7 0
2 years ago
Trapezoid STUV with vertices S(-3,6),T(0,7),U(1,4),and V(-5,2): (x,y)>(x+7,y-9)​
hjlf

Answer:

See below

Step-by-step explanation:

<u>Given points:</u>

  • S(-3,6),T(0,7),U(1,4),and V(-5,2)

<u>Translation rule: </u>

  • (x,y) → (x+7,y-9)​

<u>New coordinates by applying the rule:</u>

  • S'(4, -3), T'(7, -2), U'(8, -5), V'(2, -7)

See attached for the graph

The blue trapezoid is STUV and the red one is S'T'U'V'

7 0
2 years ago
Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?
ra1l [238]
X = 2

4x + 8 = 16
      -8     -8
----------------
4x= 8
--     --
4     4
------------
x=2
7 0
2 years ago
Read 2 more answers
The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillat
Greeley [361]

Answer:

1) L \propto T^2

Using the condition given:

2.205 m = K (3)^2

K = 0.245 \approx \frac{g}{4\pi^2}

So then if we want to create an equation we need to do this:

L = K T^2

With K a constant. For this case the period of a pendulumn is given by this general expression:

T = 2\pi \sqrt{\frac{L}{g}}

Where L is the length in m and g the gravity g = 9.8 \frac{m}{s^2}.

2) T = 2\pi \sqrt{\frac{L}{g}}

If we square both sides of the equation we got:

T^2 = 4 \pi^2 \frac{L}{g}

And solving for L we got:

L = \frac{g T^2}{4 \pi^2}

Replacing we got:

L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m

3) T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s

Step-by-step explanation:

Part 1

For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.

L \propto T^2

Using the condition given:

2.205 m = K (3)^2

K = 0.245 \approx \frac{g}{4\pi^2}

So then if we want to create an equation we need to do this:

L = K T^2

With K a constant. For this case the period of a pendulumn is given by this general expression:

T = 2\pi \sqrt{\frac{L}{g}}

Where L is the length in m and g the gravity g = 9.8 \frac{m}{s^2}.

Part 2

For this case using the function in part a we got:

T = 2\pi \sqrt{\frac{L}{g}}

If we square both sides of the equation we got:

T^2 = 4 \pi^2 \frac{L}{g}

And solving for L we got:

L = \frac{g T^2}{4 \pi^2}

Replacing we got:

L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m

Part 3

For this case using the function in part a we got:

T = 2\pi \sqrt{\frac{L}{g}}

Replacing we got:

T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s

8 0
2 years ago
The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute va
d1i1m1o1n [39]

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

d_{min} = 91.4, d_{max} = 94.5

d=\frac{d_{min} + d_{max}}{2}

d=\frac{91.4 + 94.5}{2}

d=92.95

d_{sol}=\frac{d_{max} - d_{min}}{2}

d_{sol}=\frac{94.5 - 91.4}{2}

d_{sol} =1.55

Absolute Value Equation:

|x - d| = d_{sol}

|x - 92.95| = 1.55

5 0
2 years ago
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