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2 years ago

13

Tyler had $65.40 in his checking account. Then he wrote checks on the account for $20.38, $11.48, and $19.50. What is the balanc

e of his account now?

1 answer:

andrew-mc [135]2 years ago

4 0

money going out (20.38+11.48+19.50) =51.36

balance - out = new balance

65.40-51.36 =

14.04

new balance = 14.04

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Betty saves 3 times as much as Ann. Charles save 390 less than Ann.. If Betty saves save 1330 more than Charles. how much does C

Igoryamba

Answer:

80

Step-by-step explanation:

We let x be Ann's savings.

Betty saves 3 times as much as Ann.

This implies that Betty's savings in terms of x

$= 3x$

Charles save 390 less than Ann.

This implies Charles savings

$= x - 390$

Betty saves 1330 more than Charles.

This implies that when we deduct Charles savings from Betty's we have to get 1330.

Mathematical equation for the problem:

$3x - (x - 390) = 1330$

Expand :

$\implies 3x - x + 390= 1330$

$\implies 2x + 390= 1330$

Subtract 390 from both sides.

$\implies 2x + 390 - 390= 1330 - 390$

$\implies 2x=940$

Divide through by 2

$\implies \frac{2x}{2} = \frac{940}{2}$

$\implies x=470$

Hence Charles saving is

$x - 390 = 470 - 390 = 80$

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2 years ago

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You should get 53 degrees.

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2 years ago

How many pairs of whole numbers have a sum of 110

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There are different definitions of "whole numbers".

Some define it as an integer (i.e. positive or negative) [some dictionaries]

Some define it as a non-negative integer. [most math definitions]

We will take the math definition, i.e. 0<= whole number < ∞

To find pairs (i.e. two) whole numbers with a sum of 110, we start with

0+110=110

1+109=110

2+108=110

...

54+56=110

55+55=110

Since the next one, 56+54=110 is the same pair (54,56) as 54+56=110, we stop at 55+55=110 for a total of 56 pairs.

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1 year ago

Wayne Inc., a health insurance company, pays clerks an incentive based on the average amount of work completed per hour. Wayne p

yulyashka [42]

Answer: Straight piecework plan

Step-by-step explanation:

The Straight piecework plan is a type of incentive system in which the rate per unit output is constant and fixed at a specific value. And the total earnings of a worker is calculated by multiplying the value of its total output by the rate per unit output.

In the case above the rate per unit invoice processed is fixed, so employees are paid based on the number of invoice processed per hour which makes it a Straight piecework plan system.

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1 year ago

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola

Artist 52 [7]

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6.

Step-by-step explanation:

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.

Given:

2x + 6y = 12

where

x = number of pounds of granola y = number of pounds of walnuts

The correct solution to the problem

x = 3 pounds

2x + 6y = 12

2(3) + 6y = 12

6 + 6y = 12

Subtract 6 from both sides

6 + 6y - 6 = 12 - 6

6y = 6

Divide both sides by 6

y = 6/6

= 1

y = 1 pound

Tomas added 6 to both sides of the equation instead of subtracting 6.

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2 years ago

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