The sum of three consecutive integers is 1,623. How do you write this as an equation?

Answers

Answer 1

Answer: consecutive integers are 1 away from each other therefor they are
x,x+1,x+2

they add to1623
so
x+x+1+x+2=1623 is equation
(fyi 540,541,542 are the numbes)

Answer 2

Answer: Since we are looking for a sum, we add. Since we know the integers are consecutive, then we know that the second number will be one more than the first number and the third number will be two more than the first number... so we can set up the equation by setting the first number as "x" and then

x + (x + 1) + (x + 2) = 1623

Now we combine like terms

3x + 3 = 1623

Subtract 3 from each side

3x = 1620

Divide each side by 3

x = 1620/3 = 540

So we have the first number as 540, so the next numbers will be 541 (x +1) and 542 (x + 2)

540, 541, and 542

Check the answer by adding them together to see if they add to 1623

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What is the simplified form of the expression?

Answers

remember
(x^m)/(x^n)=x^(m-n)

(q^(33/4))/(q^8)=q^((33/4)-8)
what is 33/4-8?
33/4-8=33/4-32/4=1/4

result is
q^1/4 or $\sqrt[4]{q}$

answer is $q^{ (1)/(4) }$

$\frac{q^{(33)/(4)}}{q^(8)} = \frac{\sqrt[4]{q^(33)}}{q^(8)} = \frac{q^(8)\sqrt[4]{q}}{q^(8)} = \sqrt[4]{q}$

The number line shows the solutions to an inequality. Which inequality does not match the graph? <--|---|---|---|---|---|---|---|---|->
-4 -3 -2 -1 0 1 2 3 4
^^^^^^^^^^ **KEY: "^^^^" represents a line

A)-x>1
B)2x-3<-5
C)-2x+1<3
D)-x+2>3

Answers

The inequality that represents the solution of the graph is

2x - 3 < 5.

What is an Inequality?

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

We have a inequality graph as shown.

The inequality that represents the solution of the graph given is -

2x - 3 < 5

on solving, we get -

2x < 8

x < 4

Therefore, the inequality that represents the solution of the graph is

2x - 3 < 5.

To solve more questions on Plotting inequalities, visit the link below -

brainly.com/question/1782515

#SPJ2

A
i guess,, because a negative number cannot be greater than a positive number.

Most of the seats (was/were) taken?

Answers

“were” because it is referring to more than 1 seat. “were” is plural so it fits with multiple seats

Need help solving problem number 41

Answers

ok rmemeber
√(a/b)=(√a)/(√b)
and
√ab=(√a)(√b)
and
(a^m)/(a^n)=a^(m-n)
so

ignore 11 for now, we will get to that at end

$\sqrt{ (49a^(5))/(4a^(3))}$ =
$\frac{\sqrt{49a^(5))}{\sqrt{4a^(3)}}$ =
$\frac{(√(49))(\sqrt{a^(5)})}{(\sqrt{4)(\sqrt{a^(3)}}$ =
$((7)(a^(2) √(a)) )/((2)(a √(a)) )$ =
$(7a^(2) √(a) )/(2a √(a) )$ =
$(7a)/(2)$

Melissa, of Melissa's Lawn and Landscaping Service, needs to replace her mowers.She has ordered four new gas mowers, at $499 each, and a negotiated Trade
Discount Rate of 9%, with terms of 2/10 EOM, and FOB Shipping Point. The
seller has agreed to prepay the shipping charge of $80, which is not included in the
invoice amount. The invoice from the manufacturer is dated July 26.
Determine:
A)
By what date does Melissa have to pay in order to be able to take the cash
discount?
B)
What is the payment amount assuming that Melissa pays before the end of
the discount period?

Answers

Answer:

A) 10th of August

B) $1780.03

Step-by-step explanation:

A) From the payment terms of 2/10 EOM, Melissa is to receive a 2% discount if she pays within 10 days from the end of the month

From the date on the invoice, July 26, the date at which Melissa has to pay to take the cash discount is before the 10th of August

B) The payment amount will be 2% off the original payment amount

The total cost of the four new gas mowers less the trade discount = 499 × 4 × (100 - 9)/100 =$1816.36

The 2% discount will then be $1816.36 × (100 - 2)/100 = $1780.03

The payment amount assuming Melissa pays before the end of the discount period = $1780.03.

The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?Which of the following equations is used in the process of solving this problem?
x^2 - 7x + 70 = 0
x^2 - 7x + 10 = 0
x^2 + 7x - 10 = 0

Answers

x^2 = 7x - 10
x^2 - 7x + 10 = 0
(x - 5)(x - 2) = 0
x = 5 or x = 2

The answer is B.

Answer:

Step-by-step explanation:

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Divide 6,723 ÷ 8. what is the remainder?