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3 years ago

12

Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cool

er alone without tax? The cost of an item is 100% of its price. What number goes in the ? Of the additional problem

1 answer:

Fed [463]3 years ago

7 0

1.00-0.06 = 0.94

7.95 x 0.94 = 7.473, round to 7.47 without the tax

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The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh

postnew [5]

Answer:

48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

x/y = 8/9

After the changes in weight, they were equal:

x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

y = x +6 . . . . . . . . . . solve the second equation for y

x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

9x = 8(x +6) . . . . . . . multiply by 9(x+6)

x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0

1 year ago

Which of the diagrams below represents the contrapositive of the statement "If it is an elm, then it is a tree"?

Murrr4er [49]

Answer:

Right

Step-by-step explanation:

For a contrapositive, we switch the hypothesis and conclusion and then negate it.

Switch

If it is a tree, then it is an elm

Negate

If it is not a tree, then it is not an elm.

Not tree belongs inside not elm

Right

7 0

3 years ago

The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,

Sedbober [7]

Answer:

Money raised by each team = 94 + 11 = <em>$105</em>

Number of cars washed = <em>11</em>

Step-by-step explanation:

Money already present with volleyball team = $50

Money raised by washing each car by volleyball team = $5

Let the number of cars washed = $x$

Money raised by washing cars = $5 $x$

Money already present with volleyball team = $94

Money raised by washing each car by volleyball team = $1

Money raised by washing cars = $1 $x$ = $ $x$

Given that, both the teams have raised same amount of money:

$50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11$

Money raised by each team = 94 + 11 = <em>$105</em>

Number of cars washed = <em>11</em>

4 0

3 years ago

1. William earns $134,644.80 per year, and has his federal taxes withheld from each weekly check. In addition, a total of $53.60

SashulF [63]

I only have the answer for 3 and i believe it is 20,090

3 0

2 years ago

Nine hundred ninety two hundred thousandths wrote in decimal form

uranmaximum [27]

Answer:

I think the answer is 9.920 please be careful with your answer I think it 9.920 because it says nine hundred and ninety two thousands so therefor the decimal need to be in between 9 and 9 I hope you get this correct!

step-by-step explanation:

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2 years ago