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Scorpion4ik [409]

2 years ago

11

During track and field practice yesterday, Louie ran more than 1.6 miles but less than 1.75 miles. Which of the following could

NOT be the distance that Louie ran?
1.70 miles
1.35 miles
1.65 miles
1.601 miles

1 answer:

Doss [256]2 years ago

7 0

Answer:

1.35

Step-by-step explanation:

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

Elise won 40 lollipops and the school fair. she gave 2 to every student in her math class and has at least 7 left. what is the m

geniusboy [140]

40-7= 33
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The maximum would be 17 students

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3 years ago

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Give me a trick on how to multiply a fraction by a while number

Vesnalui [34]

Answer:

look at the explanation

<em><u>explanation</u></em>

example

6 × 3/4

do 6 ×3

6×4

u will get 18/24 and then simplify

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3 years ago

The diameter of a small gear is 16 cm.This is 2.5 cm more than 1/4 of the diameter of a larger gear.What is the diameter of the

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Diameter of the larger gear х см
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2 years ago

8x+5y=24<br> y=−4x<br> what is X and Y??

Mrac [35]

Answer:

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

8 0

2 years ago

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