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Juli2301 [7.4K]
2 years ago
7

Find the unit rate for this

Mathematics
1 answer:
Snezhnost [94]2 years ago
3 0

Answer:

8$ per hour

Step-by-step explanation:

This is a fraction equal to

68 $ ÷ 8.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8.5

68 $ ÷ 8.5

= ------------

8.5 hours ÷ 8.5

= 8 $

--------

1 hour

= 8 $

-------

hour

= 8 $ per hour

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What is the recursive formula for 100, 80, 64, 51.2?
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From 100 to 80 is 8/10, so the recursive formula is

an=a(n-1)*1/8

or

an= a1*1/8(n-1)

an=a1*(n-1)/8

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​Sam has 24 cats. He wants to divide the cats into 3 equal groups. How many cats will be in each group? Move the cats into squar
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Answer:

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Step-by-step explanation:

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What is the sum of 1.3 and 5.07
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3 years ago
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

⇒ (KN-AD)=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

3 0
3 years ago
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