How is 0.9999 Equal to 1 again?

Sophia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit she sells. If Sophia wants to earn

andrew-mc [135]

Answer:

In order to find this answer, you will need to be able to make an inequality.

Step 1: Sophia makes $40 so start with that. 40

Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n

Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.

Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.

Equation: 40+5n *greater than or equal to sign* $70

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the area of a rectangle that is 1 1 4 1 4 1 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3

hjlf

Answer:

4 11/16 m²

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

From the question:

Length = 1 1/4 m

Width = 3 3/4m

Area of the rectangle =

1 1/4 m × 3 3/4 m

= 5/4 m × 15/4 m

= 75/16 m²

= 4 11/16 m²

Area of the rectangle = 4 11/16 m²

7 0

3 years ago

1-cot2a+sin2a/1+cot2a+sin2a = tana PROVE

butalik [34]

I think that's correct if yes so please mark me as brainlist and if its wrong so don't report my answer please

6 0

3 years ago

Jim had one hour to get to the

k0ka [10]

Jim has 27.5 minutes left to get to the airport.

7 0

4 years ago

Guys please help me with this question

diamong [38]

Answer: Can I get brainliest and 5 stars? thank you.

a) $\frac{65}{99}$

b) $\frac{59}{90}$

c) $\frac{13}{20}$

Step-by-step explanation:

a) $0.65$ I can't put line above it, but the line expresses that 6 and 5 and repeating infinitely. Let X equal the decimal number.

$x=0.65$

First multiply by 1 followed by as many zeros as repeating numbers there are. In this case since 6 and 5 are the repeating numbers, we have to add 2 zeros which is basically multiplying by 100

0.65*100=65.65 (another 65 remains on the right because they're infinite.)

Now substract from the original number. Now we have a new equation that says: $100x=65.65$ .

Substract equation 1 from equation 2.

$100x=65.65\\-x=0.65$

---------------------------------

$99x=65$

Solve just like any other equation. Divide by 99 to isolate x.

$\frac{99x}{99}=\frac{65}{99}$

$x=\frac{65}{99}$ This is the fraction.

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b) $0.65^-$ This one is a little bit different because we only have 1 repeating number.

In this case we have to multiply by 10.

$0.65^-*10=6.55^-$

Equation 1: $x=0.65^-$

Equation 2: $10x=6.55^-$

Substract.

$10x=6.55^-\\-x=0.65^-$

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$9x=5.9$

divide by 9 to isolate x

$\frac{9x}{9}=\frac{5.9}{9}$

$x=\frac{5.9}{9}$

To get rid of the decimal in the numerator, multiply both numerator and denominator by 10 so that we don't change the fraction.

$x=(\frac{5.9*10}{9*10} )$

$x=\frac{59}{90}$ and this is your fraction.

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c) 0.65 this one has no repeating number. It's a finite decimal number.

I assume you already know that; $a=\frac{a}{1}$ , so, we can do the same here to have a fraction.

$0.65=\frac{0.65}{1}$

Now, in order to get rid of the decimal, multiply by 1 followed by as many zeros as decimal numbers are. In this case 2 zeros because there are 2 decimal numbers, so it's 100. Remember that if you do it in the numerator, you have to do it in the denominator as well to not change the fraction.

$\frac{0.65*100}{1*100} =\frac{65}{100}$

Simplify if possible.

$\frac{65/5}{100/5} =\frac{13}{20}$ This is your fraction.

6 0

3 years ago