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3 years ago

Why is it useful to write a ratio of fractions as a unit rate

Mathematics

1 answer:

Illusion [34]3 years ago

7 0

A "unit rate" has a denominator of 1. That will often simplify any subsequent math operations.

_____

The choice of the form of a ratio should be made based on what you need to do with it. Sometimes, a denominator other than 1 is appropriate to follow-on operations you may need to perform.

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What would be the answer to this ?

djyliett [7]

(m^4 + m^3 + 4) + (-5m^4 + 4m + 1) =

m^4 + (-5m^4) + m^3 + 4m + 4 + 1 =

-4m^4 + m^3 + 4m + 5

The answer is B

3 0

3 years ago

Please could you find the answers to the questions in the attachment.

Fudgin [204]

( $\frac{x1+x2}{2} , \frac{y1+y2}{2}$ )we need 3 equations
1. midpoint equation which is ( $\frac{x1+x2}{2} , \frac{y1+y2}{2}$ ) when you have 2 points

2. distance formula which is D= $\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$

3. area of trapezoid formula whhic is (b1+b2) times 1/2 times height

so

x is midpoint of B and C
B=11,10
c=19,6
x1=11
y1=10
x2=19
y2=6
midpoint=( $\frac{11+19}{2} , \frac{10+6}{2}$ )
midpoint=( $\frac{30}{2} , \frac{16}{2}$ )
midpoint= (15,8)

point x=(15,8)

y is midpoint of A and D
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
midpoint=( $\frac{5+21}{2} , \frac{8+0}{2}$ )
midpoint=( $\frac{26}{2} , \frac{8}{2}$ )
midpoint=(13,4)

Y=(13,4)

legnths of BC and XY
B=(11,10)
C=(19,6)
x1=11
y1=10
x2=19
y2=6
D= $\sqrt{(19-11)^{2}+(6-10)^{2}}$
D= $\sqrt{(8)^{2}+(-4)^{2}}$
D= $\sqrt{64+16}$
D= $\sqrt{80}$
D= $4 \sqrt{5}$
BC= $4 \sqrt{5}$

X=15,8
Y=(13,4)
x1=15
y1=8
x2=13
y2=4
D= $\sqrt{(13-15)^{2}+(4-8)^{2}}$
D= $\sqrt{(-2)^{2}+(-4)^{2}}$
D= $\sqrt{4+16}$
D= $\sqrt{20}$
D= $2 \sqrt{5}$
XY= $2 \sqrt{5}$

the thingummy is a trapezoid
we need to find AD and BC and XY
we already know that BC= $4 \sqrt{5}$ and XY= $2 \sqrt{5}$

AD distance
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
D= $\sqrt{(21-5)^{2}+(0-8)^{2}}$
D= $\sqrt{(16)^{2}+(-8)^{2}}$
D= $\sqrt{256+64}$
D= $\sqrt{320}$
D= $4 \sqrt{2}$
AD= $4 \sqrt{2}$

so we have
AD= $4 \sqrt{2}$
BC= $4 \sqrt{5}$
XY= $2 \sqrt{5}$

AD and BC are base1 and base 2
XY=height
so
(b1+b2) times 1/2 times height
( $4 \sqrt{2}+4 \sqrt{5}$ ) times 1/2 times $2 \sqrt{5}$ =
( $4 \sqrt{2}+4 \sqrt{5}$ ) times \sqrt{5} [/tex] =
$4 \sqrt{10}+4*5$ = $4 \sqrt{10}+20$ =80 $\sqrt{10}$ =252.982

X=(15,8)
Y=(13,4)
BC= $4 \sqrt{5}$
XY= $2 \sqrt{5}$
Area=80 $\sqrt{10}$ square unit or 252.982 square units

7 0

3 years ago

Tiara earned 12 dollars on her

Fantom [35]

Answer:

Step-by-step explanation:

12 + 3x

12 + 3(20)

12 + 60

7 0

3 years ago

Find the anhle measure x in the figure

Margarita [4]

Answer:

x=25°

Step-by-step explanation:

<u>Sum of angles of a triangle equals 180°</u>

x + 10° + 2x + 15° + 3x + 5° = 180°
6x + 30° = 180°
6x = 180° - 30°
6x = 150°
x = 150°/6
x = 25°

5 0

3 years ago

Isabella had a week to read a book for a school assignment. She read an average of 36 pages per day for the first three days and

iogann1982 [59]

Ok, so what you want to do, is to start by adding the values together. So, she read an average of 36 pages for the first three days. So, you will multiply 36 by 3. Then, you will have 44 pages for the next three days, or 44 * 3. And finally, you have the last 10 pages. So, it is (36 * 3) + (44*3) + 10. So, 36 times 3 is 108, and 44 times 3 is 132. So, you now have 108 + 132 + 10. Add all of those values together, and your final answer is
250.

6 0

3 years ago