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Ksivusya [100]
3 years ago
14

V) a common multiple of 6 and 8, What number is a common multiple of 6 and 8?

Mathematics
2 answers:
Vaselesa [24]3 years ago
4 0

Answer:

6, 12, 18, 24, 30, 36, etc.

Sonja [21]3 years ago
4 0

Answer:

24

Step-by-step explanation:

Really any number that has a factor with both 6 and 8 would work, but I'm assuming you need the lowest common multiple, which would be 24.

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Step-by-step explanation:

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Two lemon creams plus four fudge cookies have 450 calories. Four lemon creams plus two fudge cookies have 420 calories. How man
Gnoma [55]

Answer:

Each fudge cookie has 80 calories.

Each lemon cream has 65 calories.

Step-by-step explanation:

We will let \ell represent the calories in lemon creams and f represent the calories in fudge cookies.

Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:

2\ell+4f=450

And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:

4\ell+2f=420

We now have a system of equations. We can solve this by elimination.

For the first equation, we can multiply both sides by -2. This way, the \ell will cancel when we add the two equations together.

So, the first equation becomes:

-4\ell-8f=-900

Add this to the second equation. Hence:

(-4\ell+4\ell)+(-8f+2f)=(-900+420)

Simplify:

-6f=-480

Divide both sides by -6. Hence:

f=80

So, there are 80 calories in one cookie.

We can use the first equation again to find the amount of calories in one cream. We have:

2\ell+4f=450

Substituting 80 for f yields:

2\ell+320=450

Then it follows that:

\ell=65

So, there are 65 calories in each lemon cream.

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3 years ago
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What is the measure of the missing angle in this triangle?<br> 25°<br> 155<br> 35°<br> 60°
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Step-by-step explanation:

4 0
2 years ago
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g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standar
Lana71 [14]

Answer:

a) 90th percentile

b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92

c)  0.2394

d)  46.44 inches

Step-by-step explanation:

mean value( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

Amy height = 1.34 std above mean value

Sophia height = 94th percentile of height distribution

A ) what percentile is Amy's height

To Calculate the percentile of Amy's height

P( X ≤  50.916   ) = P( (X-µ)/σ )  ≤  (50.916-47.7) /2.4)  

=P(Z ≤  1.340  ) = 0.9099  = 90th percentile

B) How Amy's height compare to Sophia's

The proportion given based on Sophia's height = 0.94

z -value at the proportion ( 0.94 ) = 1.55 ( from excel )

note z-value can be calculated using  =  ( x - µ ) / σ                      

therefore: X (Sophia's height )  = zσ + µ=   (1.55 * 2.4)  +  47.7  

 X = 51.43 ( Sophia's height ) , Amy's height = 50.92

C) percentage expected to be taller than 49.4 inches

P ( X ≥ 49.40  ) = P( (X-µ)/σ)  ≥ (49.4-47.7) / 2.4)              

= P(Z ≥ 0.708 )

= P( Z <  -0.708   )

= 0.2394

D) Below what height are the shortest 30% of 7-year old girls

( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

given proportion = 30% = 0.3

The z value at 0.3 = -0.52 ( from excel )

to calculate for X ( height ) we have to apply the formula used to determine z value

z= (x-µ) /σ

hence : X = (Z * σ)  +<em> u = </em>(-0.52 * 2.4 ) + 47.7

            X = 46.44

below 46.44 inches lies about 30% of 7 year old girls height

6 0
3 years ago
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