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Savatey [412]
3 years ago
12

The sum of two number is thirty. Using z to represent the larger number, translate “fifty more than the smaller number” into a v

ariable and simplify
Mathematics
1 answer:
nordsb [41]3 years ago
8 0

z=larger number

z+?=30

z-50=smaller number

z+z-50=30

2z-50=30

2z=30

z=15


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Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
PtichkaEL [24]
<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Length of the mirror Austen needs to buy ➢</u> 3 ft
  • <u>Width of the mirror Austen needs to buy ➢</u> 2 ft
  • <u>Cost of mirror per square foot ➢</u> $5.00

<h3><u>To Find :-</u></h3>

  • Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

  1. Area of Mirror = Length × Width
  2. Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

  • <u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

  • <u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h3>___________________</h3>

<h2><u>Final Answer :-</u></h2>

  • Total cost of the mirror Austen needs to buy will be $30

<h3>____________________</h3>
7 0
3 years ago
Evaluate - 6 – (-6) + 7 + (-4) + (-1).<br><br> What’s the answer please!!
elena55 [62]

Answer:

The answer is 2.

Step-by-step explanation:

Given: - 6 - (-6) + 7 + ( - 4) + ( - 1)

= - 6 + 6 + 7 - 4 - 1

= 6 + 7 - 6 - 4 - 1

= (6 + 7) - (6 + 4 + 1)

= 13 - 11

= 2

Hence, the answer.

4 0
3 years ago
Suppose you open a bank account. Every month you deposit $40. Write an equation that relates the total number of dollars deposit
alekssr [168]
$40=T >?=m 
 
T= $40,$80,$120,etc.
m=1,2,3,etc
4 0
3 years ago
Math Help Please explain the questions How long will it take for the balance of an account to double if the savings account earn
Scorpion4ik [409]
(See attached formula)
Years = log (total / principal) / n*log(1 + rate/n) where n = compounding periods per year
Years = log (total / principal) / n*log(1 + rate/n)
Rate of .75% = .0625 per month
We'll say we want total = 200 and principal = 100
Years = log (200 / 100) / 12*log(1 + rate/n)
Years = log (2) / 12 * log (1 + .0625/12)
Years = <span> <span> <span> 0.3010299957 </span> </span> </span> / 12 *  <span> <span> <span> 0.0022560803 </span> </span> </span> <span><span> </span> </span>
Years = <span> <span> 0.3010299957 </span> </span> / <span> <span> <span> 0.0270729635 </span>
Years = </span></span><span><span><span>11.1192110871 </span> </span> </span>
I don't think that's right
The interest rate is REALLY low. (Less than 1%)
Rate = .75 and .0075 when in a formula
Years = log (2) / 12 * log (1 + .0075/12)
Years = log (2) / 12 * log( <span>1.000625</span>)
Years = <span> <span> <span> 0.3010299957 </span> </span> </span> / 12 * <span> <span> <span> 0.0002713493 </span> </span> </span>
Years = <span><span><span> <span> 0.3010299957 </span> </span> / 0.0032561912 </span>
</span>Years = <span><span><span>92.4485010892
THAT seems a more likely answer with such a low interest rate.
</span> </span> </span>

5 0
3 years ago
Simplify: 3x + 4y + 7x - 2y
tresset_1 [31]

Answer:

10x+2y

Step-by-step explanation:

combine like terms

8 0
3 years ago
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