Please help with this question

When you divide a unit fraction by a whole number number, will the quotient be greater than or less than the unit fraction?

Salsk061 [2.6K]

Answer:

it will be less than

Step-by-step explanation:

3 0

4 years ago

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Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for

9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = $x\% \times 375 = \frac{x}{100} \times 375 =3.75x$

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

$x=\frac{408.75-375}{3.75}$

x=9

Hence She paid 9% of sales tax

5 0

4 years ago

Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h

rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

$\displaystyle \frac{2}{15}$ .

Step-by-step explanation:

Let $x$ be the amount of ice cream that Catherine's sister ate, in gallons.

Original amount: 1 gallon.

What Catherine ate: $\displaystyle \frac{1}{5}$ gallons.
What Catherine's sister ate is assumed to be $x$ gallons.

What's left: $\displaystyle \frac{2}{3}$ gallons.

Consider the relationship:

$\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}$ .

That is:

$\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}$ .

Add $x$ to both sides of this equation:

$\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x$

Substract $\displaystyle \frac{2}{3}$ from both sides:

$\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x$ .

Convert the denominator of all three numbers on the left-hand side to $3 \times 5 = 15$

$\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x$ .

$\displaystyle x = \frac{2}{15}$ .

In other words, Catherine's sister ate $\displaystyle \frac{2}{15}$ gallons of the ice cream.

3 0

3 years ago

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If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =

Alex_Xolod [135]

I'm assuming the the numbers coming after the variables are meant to be exponents, and if I'm wrong just let me know

-3x^4 - 2x^3 + 3x^2 + 3x^4 - 4x^3 + x^2, rearrange to have like terms in order
-3x^4 +3x^4 - 2x^3 - 4x^3 +3x^2 + x^2, now simplify
0 -6x^3 + 4x^2

6 0

4 years ago

Dean has a spinner that is divided into 4 equal sections are labeled 1, 2, 3, and 4. Dean spun the spinner 60 times. He recorded

ICE Princess25 [194]

Answer:

B

Step-by-step explanation:

Dean recorded the results of spinning the spinner 60 times:

Number 1 spun 12 times
Number 2 spun 17 times
Number 3 spun 15 times
Number 4 spun 16 times

The <u>experimental probability</u> is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.

Find all experimental probabilities:

$P_{1}=\dfrac{12}{60}=\dfrac{1}{5}\\ \\P_{2}=\dfrac{17}{60}\\ \\P_3=\dfrac{15}{60}=\dfrac{1}{4}\\ \\P_4=\dfrac{16}{60}=\dfrac{4}{15}$

Hence, option B is correct

7 0

4 years ago