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dolphi86 [110]
3 years ago
11

What is the unit rate

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0
A unit rate tells the rate in lowest terms or the amount of one it has a denominator of 1
Neporo4naja [7]3 years ago
5 0
<span> The ratio compares two quantities (in this case blue and white parts).
A unit rate (or unit ratio) describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. In our case the first type of quantity is blue parts and the second is white parts, so we should find how many blue parts correspond to one white part.
The ratio is: 5/4
We will obtain the unit ratio if we divide each number with 4 in order to get 1 - as a second quantity.
So, (5/4)/(4/4)= (5/4)/1
The unit ratio is: </span>
<span>(5/4)/1.</span>
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Need Help ASAP<br><br> 1.5x+6=2+3x<br> 2.2(6-2y)=-1(4y-9) <br> 3.2z-6=2(z+2)+10
zavuch27 [327]
1. 5x + 6 = 2 + 3x
-3x. - 3x
-------------------------
2x + 6 = 2
- 6. - 6
-------------------------
2x = -4
---- -----
2. 2

x = -2

2. 2(6 -2y) = -1(4y-9)
12 -4y = -4y + 9
+4y. +4y
----------------------------
.12 /=\ 9
No solution

3. 2z-6 = 2(z+2) + 10
2z -6 = 2z + 4 + 10
2z -6 = 2z +14
-2z. -2z
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4 0
3 years ago
Rectangle ABCD is similar to rectangle RSTU .
Alenkasestr [34]

Answer:

The scale factor of a dilation from ABCD to RSTU is \frac{1}{2}

Step-by-step explanation:

We know that the rectangle ABCD is similar to rectangle RSTU.

Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS

Working with the lengths of the sides :

DC.(Scale factor) = UT

AB.(Scale factor) = RS

Replacing with the values of the lengths (Scale factor : SF) :

DC.SF=UT\\(90ft).(SF)=45ft\\SF=\frac{45ft}{90ft} \\SF=\frac{1}{2}

AB.SF=RS\\(90ft).(SF)=45ft\\SF=\frac{45ft}{90ft} \\SF=\frac{1}{2}

Notice that the scale factor is dimensionless.

We can verify this result with the sides AD and BC :

AD.SF=UR\\50ft.(\frac{1}{2})=25ft\\ 25ft=25ft

BC.SF=TS\\50ft.(\frac{1}{2})=25ft\\ 25ft=25ft

The scale factor (SF) is \frac{1}{2}

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Answer:

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x = -5x -18

5x + 18 = -x

6x + 18 = 0

6x = 18

x = 3

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