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svet-max [94.6K]
3 years ago
11

Joy ate 1/4 of a pizza. If she divides the rest of the pizza into pieces equal to 1/8 pizza for her family, how many pieces will

her family get? how did you get the 6? Thank you

Mathematics
1 answer:
Ann [662]3 years ago
4 0
3/4 ×2/2 to get the denominator to 8

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The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the
Shalnov [3]

Answer:

8units

Step-by-step explanation:

If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)

For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)

Using the distance formula;

D = √(x₂-x₁)²+(y₂-y₁)²

D = √(-8.5+8.5)²)²+(-4-4)²

D =√(-8)²

D = √64

D = 8

Hence the required distance is 8units

5 0
3 years ago
38) Find the slope of the line containing the points (2, 7) and (-5, -4).
Komok [63]

Answer:

B. 11/7

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-4 - 7) / (-5 - 2)

-11 / -7

= 11/7

6 0
3 years ago
Simplify the expression 3/2 (5/3) -1 1/4 + 1/2 Given the answer as a simplified fraction. The simplified expression is a/b.
ella [17]
<h2>Hello!</h2>

The answer is:

The simplified fraction is:

\frac{7}{4}

<h2>Why?</h2>

To solve this problem we must remember the following:

- Addition or subtraction of fractions, we add or subtract fractions by the following way:

\frac{a}{b}(+-)\frac{c}{d}=\frac{ad(+-)bc}{bd}

- Product of fractions, the multiplication of fraction is linear, meaning that we should multiply the numerator by the numerator and denominator by denominator, so:

\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

- Convert mixed number to fraction,

a\frac{b}{c}=a+\frac{b}{c}=\frac{ac+b}{c}

So, solving we have:

\frac{3}{2}*\frac{5}{3}-1\frac{1}{4}+\frac{1}{2}=\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}\\\\\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}=\frac{15}{6}-(\frac{4+1}{1*4})+\frac{1}{2}\\\\\frac{15}{6}-(\frac{4+1}{4})+\frac{1}{2}=\frac{15}{6}-\frac{5}{4}+\frac{1}{2}

\frac{15}{6}-\frac{5}{4}+\frac{1}{2}=(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}\\\\(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}=(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}\\\\(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}=(\frac{20-10}{8})+\frac{1}{2}\\\\(\frac{20-10}{8})+\frac{1}{2}=(\frac{10}{8})+\frac{1}{2}\\\\(\frac{10}{8})+\frac{1}{2}=\frac{5}{4}+\frac{1}{2}\\\\\frac{5}{4}+\frac{1}{2}=\frac{(5*2)+(4*1)}{2*4}\\\\\frac{(5*2)+(4*1)}{2*4}=\frac{10+4}{8}=\frac{14}{8}\\\\\frac{14}{8}=\frac{7}{4}

Hence, the simplified fraction is:

\frac{7}{4}

Have a nice day!

8 0
3 years ago
Read 2 more answers
The simple interest charged on a 65-day loan of $1,290 is $5.75. Find the annual simple interest rate (in percent) for this loan
Elan Coil [88]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

P represents the principal or initial amount invested or collected as a loan.

R represents interest rate.

T represents the duration of time in years before the loan is bald back.

From the information given,

P = 1290

I = 5.75

Since there are 365 days in a year,

t = 65/365 = 0.1781 years

Therefore,

5.75 = (1290 × r × 0.1781)/100

5.75 = 229.749r/100 = 2.29749r

r = 5.75/2.29749

r = 2.5027

Rounding to the nearest percent,

r = 3%

5 0
3 years ago
Read 2 more answers
How many times greater is 9*10^10 than 3*10^8
vladimir2022 [97]

Answer:

9*10^10/ 3*10^8 = 300

Step-by-step explanation:

6 0
3 years ago
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