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3 years ago

14

Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidently recorded it as a credit

rather than his debit. How will his check register compare to his monthly bank statement when he receives it?

2 answers:

Arada [10]3 years ago

8 0

Answer:

76 dollars more

Step-by-step explanation:

Given that Adam wrote a check for $38 to pay his monthly gas bill.

Normally cheques issued would be debited to the account maintained by the customer thus making the balance less than the previous one.

If the customer had x as balance after cheque issued the balance would be x-38

This is a debit entry

But since Adam by mistake entered as credit, he would have recorded in his books balance as x+38

Thus as a result of this

Adam check register shows x+38-(x-38)

= 76 dollars more than monthly bank statement

Alex73 [517]3 years ago

7 0

It would be $76 over, I hope this helps.

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Fill in the blank. Given O below, you can conclude that OD is congruent to ___________.

Debora [2.8K]

The circle with center O has two chords AC and EF which are of same length 9.07.

OD and OB are the two perpendiculars drawn from the center O to the two chords AC and EF .It represents the distance of the chords from the centre.

The circle theorem states: congruent chords are equidistant from the center.

OD is congruent to OB.

Option A is the right answer.

4 0

3 years ago

Read 2 more answers

A classroom is 20 feet long. The office is 82% longer than the classroom. How long is the office?

enyata [817]

Answer:

The length of the office is 36.4 ft

Step-by-step explanation:

The length of the classroom = 20 ft long

The length of the office = 20 ft + 82% of the classroom length

Now, 82 % of classroom length = 82 % of 20 ft

⇒ $\frac{82}{100} \times 20 = 16.4$

or, 82% of 20 ft = 16.4 ft

⇒The length of the office = 20 ft + 16.4 ft = 36.4 ft

Hence, the length of the office = 36.4 ft

4 0

2 years ago

What is the solution to x = square root 3x + 10?

sdas [7]

Answer:

x = 5

Step-by-step explanation:

Given

x = $\sqrt{3x+10}$ ( square both sides )

x² = 3x + 10 ( subtract 3x + 10 from both sides )

x² - 3x - 10 = 0 ← in standard form

(x - 5)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

As a check

Substitute these values into the equation and if both sides are equal then they are solutions.

x = 5

right side = $\sqrt{15+10}$ = $\sqrt{25}$ = 5 = left side ← solution

x = - 2

right side = $\sqrt{-6+10}$ = $\sqrt{4}$ = 2 ≠ - 2 ← not a solution

Thus x = 5 is the solution to the equation

6 0

3 years ago

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

Rasek [7]

Answer: -3.

Step-by-step explanation:

We are given that : $g(x)=kf(x)$ (1)

It means that f(x) and g(x) are proportional.

[Equation of direct variation: y=kx , where k= proportionality constant.]

From the given graph ,

At x= -3 , f(x)=1 and g(x) =-3

Put value of x=-3 in (1) , we get

$g(-3)=kf(-3)$

$\Rightarrow\ -3=k(1)$ [∵ f(x)=1 and g(x) =-3]

$\Rightarrow\ -3=k$

i.e. The value of k = -3

Hence, the correct answer is -3.

6 0

2 years ago

PLZ HELP ME WILL GIVE BRAINLIEST

nadezda [96]

Answer:

1. $2 \times 10^{- 4} = 2 \div 10^{4}$

2. $(- 10)^{2} = 100$ and $- 10^{2} = - 100$

3. $(a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........$

Example: $(30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times 3^{4} \times 5^{4}$

Step-by-step explanation:

1. We have $2 \times 10^{- 4}$ , and we have to prove that this term is equivalent to $2 \div 10^{4}$ .

Now, $2 \times 10^{- 4}$

= $2 \times \frac{1}{10^{4} }$

{Since we know the property of exponent as $a^{- b} = \frac{1}{a^{b} }$ }

= $\frac{2}{10^{4} }$

= $2 \div 10^{4}$

2. $(- 10)^{2} = (- 10) \times (- 10) = 100$ and

$- 10^{2} = - [(10) \times (10)] = - 100$

3. The power of products property gives

$(a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........$ ........ (1)

For example, we can write, $(30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times 3^{4} \times 5^{4} = 810000$

3 0

2 years ago